The volume, in cubic feet, of the right rectangular prism is 9 cubic feet
What is the volume, in cubic feet, of the right rectangular prism?From the question, we have the following parameters that can be used in our computation:
A right rectangular prism has a length of 2 feet, a width of 3 feet, and a height of 1 2/4 feet
Using the above as a guide, we have the following:
Volume = Length * Width * height
Substitute the known values in the above equation, so, we have the following representation
Volume = 2 * 3 * (1 2/4)
Evaluate
Volume = 9
Hence, the volume is 9 cubic feet
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Todd had a piggy bank holding $384. He began taking out money each month. The table shows the amount remaining, in dollars, after each of the first four months
A piggy bank is a small container typically used by children to save money. In this scenario, Todd had a piggy bank holding $384 and began taking out money each month. The table provided shows the amount remaining in the piggy bank, in dollars, after each of the first four months. This information can be used to track Todd's spending and savings habits.
In the first month, Todd took out $60, leaving him with $324 in his piggy bank. In the second month, he took out an additional $48, leaving him with $276. By the third month, Todd had taken out a total of $105, leaving him with $279 in his piggy bank. Finally, in the fourth month, he took out $62, leaving him with $217.
By tracking his spending and savings over the course of these four months, Todd can assess his financial habits and make any necessary adjustments. It is important for individuals to develop good financial habits early on in life, and using a piggy bank can be a fun and effective way to do so.
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A person is working in the purchasing department of an appliance retailer. This month he is stocking up on washers and dryers. His
supervisor informs him that his budget this month is $12,000. He knows that the average wholesale cost of a washer over the past
year has been $250, while the average wholesale cost of a dryer has been $200. Complete parts a through h
a) What is the maximum number of washers the person can purchase within the budget?
To calculate the maximum number of washers the person can purchase within the budget, we divide the budget by the cost per washer:
$12,000 ÷ $250 = 48 washers
b) What is the maximum number of dryers the person can purchase within the budget?
To calculate the maximum number of dryers the person can purchase within the budget, we divide the budget by the cost per dryer:
$12,000 ÷ $200 = 60 dryers
c) If the person wants to purchase an equal number of washers and dryers, how many of each can he purchase?
To purchase an equal number of washers and dryers, we need to find the common factor of both 48 and 60:
48 = 2 x 2 x 2 x 2 x 3
60 = 2 x 2 x 3 x 5
The common factor is 2 x 2 x 3 = 12. So, the person can purchase 12 washers and 12 dryers within the budget.
d) If the person purchases the maximum number of washers and dryers, what is the total cost of the purchase?
To calculate the total cost of the purchase, we multiply the maximum number of washers and dryers by their respective cost:
48 washers x $250 = $12,000
60 dryers x $200 = $12,000
The total cost of the purchase is $24,000.
e) If the person purchases an equal number of washers and dryers, what is the total cost of the purchase?
To calculate the total cost of the purchase, we multiply the number of washers and dryers by their respective cost:
12 washers x $250 = $3,000
12 dryers x $200 = $2,400
The total cost of the purchase is $5,400.
f) If the person wants to spend the entire budget on washers, how many washers can he purchase?
To spend the entire budget on washers, we divide the budget by the cost per washer:
$12,000 ÷ $250 = 48 washers
g) If the person wants to spend the entire budget on dryers, how many dryers can he purchase?
To spend the entire budget on dryers, we divide the budget by the cost per dryer:
$12,000 ÷ $200 = 60 dryers
h) If the person wants to spend the entire budget and purchase an equal number of washers and dryers, how many can he purchase?
To spend the entire budget and purchase an equal number of washers and dryers, we need to divide the budget by the sum of the cost per washer and cost per dryer, then find the common factor:
($12,000 ÷ ($250 + $200)) ÷ 2 = 18
The common factor of 18 is 2 x 3 = 6. So, the person can purchase 6 washers and 6 dryers within the budget.
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Lizzie came up with a divisibility test for a certain number m ≠ 1 : Break a positive integer n into two-digit chunks, starting from the ones place. (For example, the number 354764 would break into the two-digit chunks 35, 47, and 64 ) Find the alternating sum of these two-digit numbers, by adding the first number, subtracting the second, adding the third, and so on. (In our example, this alternating sum would be 35-47+64 = 52 ) Find m and show that this is indeed a divisibility test for n (by showing that n is divisible by m if and only if the result of this process is divisible by m)
If and only if the alternating sum of the two-digit chunks of a number n is divisible by m, then n is divisible by m.
What value of m makes the alternating sum of two-digit chunks of a positive integer n divisible by m?Let's denote the two-digit chunks of n as a₁a₂, a₃a₄, ..., where a₁, a₂, a₃, a₄, ... are the digits from the ones place onward.
The alternating sum of these two-digit numbers is given by a₁a₂ - a₃a₄ + a₅a₆ - a₇a₈ + ...
We can rewrite n as (a₁a₂ × 100) + (a₃a₄ × 10) + (a₅a₆ × 1) + ...
The alternating sum expression can be written as (a₁a₂ × 100) - (a₃a₄ × 10) + (a₅a₆ × 1) - ...
If n is divisible by m, we have n ≡ 0 (mod m).
Rewriting n in terms of the alternating sum, we get (a₁a₂ × 100) - (a₃a₄ × 10) + (a₅a₆ × 1) - ... ≡ 0 (mod m).
Factoring out each two-digit chunk, we have (a₁a₂ - a₃a₄ + a₅a₆ - ...) ≡ 0 (mod m).
This implies that n is divisible by m if and only if the result of the alternating sum process is divisible by m.
m is the value that makes the alternating sum of the two-digit chunks of n a divisibility test for n.
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Andre owns a condominium with a value of $155,000. He has a stock portfolio worth $8,100. He owes $3,300 on his car, which is valued at $9,100. He has $7,600 in student loans to repay. He has a credit card balance of $4,327. He also has $2,600 in a bank account. Construct a net worth statement to find Andre's net worth.
Using net worth statement, Andre's net worth is $159,573.
How to Construct a net worth statement to find Andre's net worth.Andre's net worth can be calculated by subtracting his total liabilities from his total assets.
Total assets = $155,000 (condominium) + $8,100 (stock portfolio) + $9,100 (car value) + $2,600 (bank account) = $174,800
Total liabilities = $3,300 (car loan) + $7,600 (student loans) + $4,327 (credit card balance) = $15,227
Net worth = Total assets - Total liabilities = $174,800 - $15,227 = $159,573
Therefore, Andre's net worth is $159,573.
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Below are the steps for copying Line Segment DE using dynamic geometry software. Which sequence has the steps in the correct order?
1.) Draw Line Segment DE with endpoint H on the circle.
2.) Construct a circle centered at the point G with radius Line Segment DE.
3.) Line Segment DE ≅ Line Segment GH
4.) Draw a point and label it G.
~a.) 2,4,1,3
~b.) 4,2,1,3
~c.) 2,1,4,3
~d.) 3,4,2,1
The correct sequence of steps for copying Line Segment DE using dynamic geometry software is in the order of 2,1,4,3. So, correct option is C.
The correct sequence of steps for copying Line Segment DE using dynamic geometry software is:
1.) Draw Line Segment DE with endpoint H on the circle.
2.) Draw a point and label it G.
3.) Construct a circle centered at the point G with radius Line Segment DE.
4.) Line Segment DE ≅ Line Segment GH
Therefore, option c.) 2,1,4,3 is the correct sequence of steps. The first step is to draw the original line segment DE with endpoint H on the circle.
The second step is to draw a point and label it G. The third step is to construct a circle centered at G with the same radius as Line Segment DE. Finally, in the fourth step, the line segment GH is drawn such that it is congruent to Line Segment DE, completing the copy of Line Segment DE.
So, correct option is C.
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How do I solve for X with the base numbers on a right triangle. (Please give an explanation and an answer, I need to know how it works.)
Let's label the 3 points as A;B;C, where BC is the hypotenuse and AB is the shortest side, and x as AH.
We can see that triangle AHC is similar to triangle CAB, and triangle ACH is similar to triangle BCA, so therefore triangle AHC is similar to triangle CHA (i might've messed up the order but you get it)
Because they are similar, we get the ratio : x/12 = 40/x, or x^2 = 480.
So, x = [tex]\sqrt{480}[/tex], or 21.9 (1 d.p)
Answer:
21.9 units-----------------------
According to the right triangle altitude theorem:
the altitude on the hypotenuse is equal to the geometric mean of line segments formed by altitude on the hypotenuse.We see x is the altitude and 12 & 40 are the segments formed on the hypotenuse.
Applied to the given triangle, we get following equation:
[tex]x=\sqrt{12*40} =\sqrt{480} =21.9\ units[/tex]23. A triangular earring has side lengths of 1. 5 centimeters, 2 centimeters, and 3
centimeters. What is the approximate measure, in degrees, of the largest angle of the
triangular earring?
А
36. 3°
B.
45. 8°
C. 117. 3°
D.
134. 2°
Using cosine rule, the largest angle In the triangle is
C. 117. 3°How to find the measure of the largest angleThe angle is found first using cosine rule by the formula
cos A = (b² + c² - a²) ÷ 2bc
Solving for the largest angle
substituting the values
cos γ = (2² + 1.5² - 3²) ÷ 2 * 1.5 * 2
< γ = arc cos ( -0.4583 )
< γ = 117.28 degrees
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Ian stacks 5 glasses of juice. Each glass contains 185 milliliters of juice. Find the total volume of juice in the 5 glasses
The total volume of juice in the 5 glasses is 925 milliliters. To find the total volume of juice in the 5 glasses, we simply need to multiply the volume of juice in one glass by the number of glasses.
In this case, each glass contains 185 milliliters of juice and Ian has stacked 5 glasses, so we can use the formula:
Total volume of juice = Volume of juice per glass x Number of glasses
Plugging in the numbers, we get:
Total volume of juice = 185 ml/glass x 5 glasses
Total volume of juice = 925 ml
Therefore, the total volume of juice in the 5 glasses is 925 milliliters. This is a simple example of using multiplication to find the total quantity of something when we know the amount in one unit and the number of units. In this case, we were able to find the total volume of juice by multiplying the volume in one glass by the number of glasses.
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The shopkeeper sold every day the number of eggs is recorded. At equal intervals group 42, 49, 61, 35, 27, 36, 50, 34, 31, 40
The shopkeeper sold an average of 40.5 eggs per day during the given interval.
How to find the avg number of eggs?To calculate the average number of eggs sold per day, add up the total number of eggs sold and divide by the number of days.
Total number of eggs sold = 42 + 49 + 61 + 35 + 27 + 36 + 50 + 34 + 31 + 40 = 405
Number of days = 10
Average number of eggs sold per day = 405 / 10 = 40.5
The shopkeeper sold an average of 40.5 eggs per day during the given interval.
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The shopkeeper sold every day the number of eggs is recorded. At equal intervals group 42, 49, 61, 35, 27, 36, 50, 34, 31, 40
What is the average number of eggs sold per day by the shopkeeper over the given interval?
Use Newton's method to obtain the third approximation, X2, of the positive fourth root of 3 by calculating the third approximation of the right 0 of f(x)=x*- 3. Start with Xo = 1. The third approximation of the fourth root of 3 determined by calculating the third approximation of the right 0 of f(x) = x4 - 3, starting with Xo = 1, is (Round to four decimal places.) -
To use Newton's method to find the third approximation, X2, of the positive fourth root of 3, we follow these steps:
1. Define the function f(x) and its derivative, f'(x): f(x) = x^4 - 3 f'(x) = 4x^3
2. Start with an initial guess, X0 = 1.
3. Apply Newton's method formula to find the next approximations:
Xn+1 = Xn - f(Xn) / f'(Xn)
4. Calculate the first approximation, X1: X1 = X0 - f(X0) / f'(X0) X1 = 1 - (1^4 - 3) / (4 * 1^3) X1 = 1 - (-2) / 4 X1 = 1 + 0.5 X1 = 1.5
5. Calculate the second approximation, X2: X2 = X1 - f(X1) / f'(X1) X2 = 1.5 - (1.5^4 - 3) / (4 * 1.5^3) X2 = 1.5 - (5.0625 - 3) / 13.5 X2 = 1.5 - 2.0625 / 13.5 X2 = 1.5 - 0.15296 X2 ≈ 1.3470
So, the third approximation of the positive fourth root of 3, determined by calculating the third approximation of the right 0 of f(x) = x^4 - 3, starting with X0 = 1, is approximately 1.3470 (rounded to four decimal places).
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To find the quotient of 4. 082 and 10,000, move the decimal point in 4. 082
Choose. Right left
places to the
Choose. Right-left
The quotient of 4.082 and 10,000 is 0.000004082.
To find the quotient of 4.082 and 10,000, we need to divide 4.082 by 10,000. However, dividing a decimal by another decimal can be tricky, so we need to move the decimal point of the dividend (4.082) and the divisor (10,000) to make the division easier.
We can move the decimal point of 4.082 four places to the left to obtain 0.04082. This is because moving the decimal point to the left makes the number smaller. For example, moving the decimal point in 4.082 one place to the left gives us 0.4082, which is ten times smaller than 4.082. Moving the decimal point four places to the left gives us a number that is 10,000 times smaller than 4.082.
Similarly, we can move the decimal point of 10,000 four places to the right to obtain 100,000,000. This is because moving the decimal point to the right makes the number larger. For example, moving the decimal point in 10,000 one place to the right gives us 1,000, which is ten times larger than 10,000. Moving the decimal point four places to the right gives us a number that is 10,000 times larger than 10,000.
Now we can divide 0.04082 by 100,000,000, which gives us the quotient of 0.000004082. Therefore, to find the quotient of 4.082 and 10,000, we need to move the decimal point in 4.082 four places to the left and move the decimal point in 10,000 four places to the right, and then divide the resulting numbers.
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Select ALL the correct answers. Richard is renting a bike. The cost of renting a bike for the first hour is $7. He is charged $2.50 for every additional hour of renting the bike. Select all the functions that can be used to find the total amount that Richard is charged, f(n), for renting the bike for n hours. f ( n ) = 2.5 n + 7 f ( n ) = 2.5 n + 4.5 f ( 1 ) = 7 ; f ( n ) = f ( n − 1 ) + 2.5 , for n ≥ 2 f ( n ) = 4.5 n + 2.5 f ( 1 ) = 2.5 ; f ( n ) = f ( n − 1 ) + 7 , for n ≥ 2
The function that can be used to find the total amount is f(n) = 7 + (n - 1) * 2.5
Selecting the functions that can be used to find the total amountFrom the question, we have the following parameters that can be used in our computation:
The cost of renting a bike for the first hour is $7. He is charged $2.50 for every additional hour of renting the bike.This means that
f(n) = First hour + (n - 1) * Additional hour
Substitute the known values in the above equation, so, we have the following representation
f(n) = 7 + (n - 1) * 2.5
Hence, the function that can be used to find the total amount is f(n) = 7 + (n - 1) * 2.5
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Find the volume of the solid generated when the rectangle below is rotated about side
LO. Round your answer to the nearest tenth if necessary.
The volume of the obtained solid is 36 units³.
Given that a rectangle of dimension 9 units x 2 units, has been rotated to form a solid we need to find its volume,
So we know that a rectangle rotated to form a rectangular prism.
Volume of a rectangular prism = product of the dimensions.
The dimensions of the obtained solid will be 9 units x 2 units x 2 units,
So the volume = 9 x 2 x 2 = 36 units³
Hence the volume of the obtained solid is 36 units³.
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Kathleen has a fair die with 6 different-colored sides:red,yellow,blue,green,orange, and purple. She rolls the die 120 times. The die lands on the color green 18 times. Based on Kathleen's results, The experimental probability of rolling the color green is?
The Experimental probability of rolling the color green is 0.15
How to calculate the experimental probability of rolling the color green isThe experimental probability of rolling the color green can be calculated by dividing the number of times the die lands on green by the total number of rolls:
Experimental probability of green = Number of green rolls / Total number of rolls
Experimental probability of green = 18 / 120
Experimental probability of green = 0.15 or 15%
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For f(x)=1/x^2 show there is no c such that f(1)-f(-1)=f'(c)(2).
Explain why the mean value theorem doesnt apply over the interval
[-1,1]"
Prerequisites for the MVT are not met due to the discontinuity and non-differentiability of f(x) at x = 0 within the interval [-1, 1].
Let's first understand the Mean Value Theorem (MVT). The MVT states that if a function is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:
f'(c) = (f(b) - f(a)) / (b - a)
Now, consider the function f(x) = 1/x^2. This function is continuous and differentiable for all x ≠ 0. However, in the interval [-1, 1], the function is not continuous nor differentiable at x = 0. Therefore, the Mean Value Theorem does not apply to this interval.
Since the MVT does not apply, we cannot say there exists a c in the interval (-1, 1) such that f'(c) = (f(1) - f(-1)) / (1 - (-1)). This is because the prerequisites for the MVT are not met due to the discontinuity and non-differentiability of f(x) at x = 0 within the interval [-1, 1].
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How many people can fit in the passenger car of 70 feet and a width of 9 feet
Approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet.
What is the volume of a car with a length of 70 feet and a width of 9 feet?To determine the number of people who can fit in a passenger car with a length of 70 feet and a width of 9 feet, we need to consider the available space inside the car and the amount of space required per person.
Assuming that the passenger car is a rectangular box shape, the volume of the car can be calculated as follows:
Volume of car = Length x Width x Height
Since we are only interested in the number of people who can fit in the car, we will assume a standard height of 6 feet for simplicity. Therefore, the volume of the car can be calculated as follows:
Volume of car = 70 feet x 9 feet x 6 feet
Volume of car = 3,780 cubic feet
Next, we need to determine the amount of space required per person. This can vary depending on the seating arrangement and the size of the individuals, but as a general rule, we can estimate that each person requires approximately 10 to 12 cubic feet of space in a seated position.
Assuming we use the lower end of that estimate and allocate 10 cubic feet of space per person, we can calculate the number of people who can fit in the car as follows:
Number of people = Volume of car / Space per person
Number of people = 3,780 cubic feet / 10 cubic feet per person
Number of people = 378 people
Therefore, if we assume a standard height of 6 feet and allocate 10 cubic feet of space per person, approximately 378 people can fit in a passenger car with a length of 70 feet and a width of 9 feet. However, it is important to note that this is just an estimate and the actual number of people who can fit in the car will depend on factors such as the seating arrangement and the size of the individuals.
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Procter & Gamble reported that an American family of four washes an average of 1
ton (2000 pounds) of clothes each year. If the standard deviation of the distribution
is 187. 5 pounds, find the probability that the mean of a randomly selected sample of
50 families of four will be between 1980 and 1990 lbs.
The required probability is approximately 0.1253 or 12.53%.
We can use the central limit theorem to approximate the sampling distribution of the mean of the weights of clothes washed by 50 families of four. According to the central limit theorem, the sampling distribution of the mean will be approximately normal if the sample size is large enough (n > 30), regardless of the shape of the population distribution.
The mean of the sampling distribution of the mean will be equal to the population mean, which is 2000 lbs
[tex]SEM=\frac{\sigma}{\sqrt{n} }[/tex]
σ = population standard deviation
n = sample size.
[tex]SEM=\frac{187.5}{\sqrt{50} }[/tex]
= 26.5
Now we need to find the z-scores corresponding to the two values of the mean.
[tex]z_1=\frac{1980-2000}{26.5}[/tex]
= -0.75
[tex]z_2=\frac{1990-2000}{26.5}[/tex]
= -0.38
Using a standard normal table, we can find the probability that a z-score is between -0.75 and -0.38.
P(-0.75 < Z < -0.38) = 0.1253
Therefore, the required probability is approximately 0.1253 or 12.53%.
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The money in Maya's college savings account earns 2 1/5% interest. Which value is less than 2 1/5%?
A. 0. 0215
B. 11/5
C. 0. 022
D. 11/500
A value that is less than 2 1/5% from the given data is 0. 0215. Option A is the correct answer.
A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator and denominator.
To find a value that is less than 2 1/5% we need to find the decimal number of a given fraction. to convert the given fraction into decimal form we need to divide the given fraction by 100.
= 2 1/5% / 100
= (2 + (1/5)) / 100
= 0.022
A value that is less than 0.022 from the given data is 0. 0215.
Therefore, a value less than 2 1/5% is 0. 0215.
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Drag each tile to the correct location, Determine the type of fee that will be charged In each situation. Joanne's brokerage firm charged her for providing investment information to help her make informed choices. Pete isn't a regular investor. He hasn't bought or sold any stock this year. His broker charged him an inacovity fee of $75 for the year. John's broker provided him with stock-trading software to manage his trading Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade Reggie's broker charged him a front-end load of 2. 75% when he purchased a fund. Transaction Fee Non-transaction Fee 2021 Edmentum All rights reserved.
The type of fee that will be charged depends on the specific service provided by the broker to the client. Non-transaction fees are typically charged for account maintenance or access to investment tools, while transaction fees are charged for specific trades or transactions.
To determine the type of fee that will be charged in each situation, we need to consider the specific services that were provided by the broker to the client.
For Joanne, her brokerage firm charged her a fee for providing investment information to help her make informed choices. This type of fee is a non-transaction fee, as it is not related to a specific transaction or trade.
Pete, who hasn't bought or sold any stock this year, was charged an inactivity fee of $75 for the year by his broker. This fee is also a non-transaction fee, as it is not related to a specific trade but rather to the inactivity of the account.
John's broker provided him with stock trading software to manage his trading. This type of service is typically included in a brokerage firm's platform fee, which is a non-transaction fee that covers the cost of maintaining the software and other tools that clients can use to manage their investments.
Lisa sold 50 shares of stock A on a given day and her broker charged her $12 for this trade. This type of fee is a transaction fee, which is charged for each specific trade or transaction that a client makes.
Finally, Reggie's broker charged him a front-end load of 2.75% when he purchased a fund. This fee is a type of sales charge or commission that is applied to the initial investment and is considered a transaction fee.
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Solve 2x(x 0.5) = −(x+2.5)² + 5.5 by graphing. Round to the nearest thousandth.
x≈
and x
we find that the solutions to the equation are:x ≈ -1.283, x ≈ 4.283.
How to solve the equation ?To solve the equation 2x(x+0.5) = -(x+2.5)² + 5.5 by graphing, we can first rearrange it to the standard form:
x² - 3x - 2 = 0.5(x+2.5)²
Then we can plot the two functions y = x² - 3x - 2 and y = 0.5(x+2.5)² - 5.5 on the same graph and find their intersection points, which represent the solutions to the equation.
Enter the two functions in separate equations:
[tex]y_1 = x^2 - 3x - 2[/tex]
[tex]y_2 = 0.5(x+2.5)^2 - 5.5[/tex]
Adjust the zoom level and position of the graph to see the intersection points.
Click on the intersection points to see their coordinates.
Round the coordinates to the nearest thousandth.
After following these steps, we find that the solutions to the equation are:
x ≈ -1.283
x ≈ 4.283
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I need help on this part, I don't even get it, please help me on this part.
Here what it said:
"A store offers 3 brands of tee-shirts in 6 colors each in either long sleeve or short. How many different shirts are there?"
Answer:
36!
Step-by-step explanation:
There is 3 brands of clothing each brand has short and long sleeve, and both come in 6 different colors.
multiply 6*2 (because 6 different colors per long and short sleeve) get 12, then you multiply 12 times 3 because each one is from a different brand.
IT MAY BE A BI CONFUSING I SUCK AT EXPLAINING BUT
YEAHHH!
Answer:
18shirts
Step-by-step explanation:
3×6=18 shirts
What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? x^2= -16x-37
The intermediate step in completing the square for x^2= -16x-37 is (x+8)^2=27.
To complete the square for the given equation, we need to add a constant value to both sides of the equation such that we can factor the left-hand side as a perfect square.
x^2 + 16x = -37
To determine the constant value we need to add to both sides, we take half the coefficient of x (which is 16/2 = 8) and square it to get 64. Then we add 64 to both sides of the equation:
x^2 + 16x + 64 = 27
Now we can factor the left-hand side as a perfect square:
(x + 8)^2 = 27
So the intermediate step in completing the square for x^2= -16x-37 is (x+8)^2=27.
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What is the exact circumference of a circle with a radius of 15 cm?
Responses
10π cm
10 pi, cm
15π cm
15 pi, cm
30π cm
30 pi, cm
60π cm
Answer:
30π cm
Step-by-step explanation:
if r = 15 cm
circumference = π2r
= π × 2 × 15
= 30π cm
#CMIIWMrs. jones buys two toys for her son. the probability that the first toy is defective is , and the probability that the second toy is defective given that the first toy is defective is . what is the probability that both toys are defective? a. b. c. d.
The probability of the first toy being defective is 1/3 and the probability of both toys being defective is 1/15.
Hence, option 'a'.
Use the concept of probability defined as:
Probability is equal to the percentage of positive outcomes compared to all outcomes for the occurrence of an event.
Given that,
Mrs. Jones buys her son two toys.
The probability that the initial plaything is broken = 1/3.
The probability that the second toy has a problem.,
Also given the original toy is defective, is 1/5.
The goal is to calculate the probability that both toys are defective.
To calculate the probability that both toys are defective:
Multiply the individual probabilities.
Given that the probability of the first toy being defective = 1/3,
The probability of the second toy being defective given that the first toy is defective= 1/5,
Calculate the probability that,
Both toys have flaws, multiplying these probabilities together:
(1/3) x (1/5) = 1/15
Hence,
The probability that both toys are defective is [tex]1/15[/tex] which is option 'a'.
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The complete question is:
Mrs. Jones buys two toys for her son. the probability that the first toy is defective is 1/3, and the probability that the second toy is defective given /that the first toy is defective is 1/5. what is the probability that both toys are defective?
a. 1/15
b. 1/4
c. 1/8
d. 3/5
The cafeteria staff made sandwiches. Each sandwich had either rye or white bread, either ham or turkey, and either cheese or no cheese. The staff made an equal number of each type of sandwich. The sandwiches were placed on a tray. Without looking, Mary will choose a sandwich. What are the chances that Mary will get a sandwich with cheese?
Responses
one eighth
one sixth
one third
one half
Answer:
Step-by-step explanation:
There are 8 equally likely sandwich options: rye and ham, rye and turkey, white and ham, white and turkey, rye and ham with cheese, rye and turkey with cheese, white and ham with cheese, white and turkey with cheese.
Since each type of sandwich was made in equal number, there are 4 sandwiches with cheese.
Therefore, the chances that Mary will get a sandwich with cheese is 4/8 or 1/2.
Answer: one half
Alguien q pueda explicar esto
To add fractions with unlike denominators, we need to find the least common multiple of the denominators. In this case, the least common multiple of 3 and 4 is 12. So, we must find equivalents of each fraction with a denominator of 12.
How to add the fractions?To add fractions with unlike denominators, we need to find the least common multiple of the denominators. In this case, the least common multiple of 3 and 4 is 12. So, we must find equivalents of each fraction with a denominator of 12.
Multiplying the numerator and denominator of 2/3 by 4, we get 8/12. On the other hand, multiplying the numerator and denominator of 1/4 by 3, we get 3/12.
Therefore, we can rewrite the sum as:
8/12 + 3/12
And adding the numerators, we get:
11/12
So, 2/3 + 1/4 = 11/12.
The final answer is a proper fraction, which means that the numerator is less than the denominator, and can be further simplified if necessary.
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tan(x)>(3^1/2)+1 Range for x( 0
Answer:
Step-by-step explanation:
The cylinder below has a height of 6 centimeters and a radius of r1. The volume of the cylinder is 302 cubic centimeters.
Find the radius of the cylinder. Round to the nearest whole centimeter.
___ centimeters
Answer:
There is a cylinder with a height of 6 centimeters and a radius of r1, which has a volume of 302 cubic centimeters. It's fascinating to see how the volume of different shapes can vary based on their dimensions.
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A number cube has sides numbered 1 through 6. the probability of rolling a 2 is 1/6
what is the probability of not rolling a 2?
enter your answer as a fraction, in simplest form, in the box.
a calculator is allowed on this quiz.
question 1 options:
56
16
23
76
A number cube has sides numbered 1 through 6. the probability of rolling a 2 is 1/6. The probability of not rolling a 2 on a number cube with sides numbered 1 through 6 is 5/6 (in simplest form). The correct answer is 5/6.
The probability of not rolling a 2 on a number cube with sides numbered 1 through 6 can be calculated as follows:
Determine the total number of outcomes, which is 6 (1, 2, 3, 4, 5, and 6).
Determine the number of favorable outcomes, which is 5 (1, 3, 4, 5, and 6), since you're looking for the probability of not rolling a 2.
Calculate the probability by dividing the number of favorable outcomes by the total number of outcomes.
The probability of not rolling a 2 on a number cube with sides numbered 1 through 6 is 5/6 (in simplest form).
So, the correct answer is 5/6.
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44 friends evenly divided up an
�
nn-slice pizza. One of the friends, Harris, ate
1
11 fewer slice than he received
The expression that denotes the number of slices of pizza eaten by Harris is: (N/4) - 1
How to solve Algebra Word Problems?The parameters are given as:
Slices of pizza = n
Number of friends = 4
Slices of pizza evenly divided among friends = Total number of slices/number of friends = N/4
Now, this value will represent the number of slices each friend got.
Since, Harris had 1 slice lesser than what he received, then we can say that:
Number of slices of pizza eaten by Harris = (N/4) -1
This is because it's evenly divided into 4 people and as such we divide the total (N) by 4.
Since he at one less, you subtract one.
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Complete question is:
4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.