Answer:
29
Step-by-step explanation:
if you calculate the mathimatical equipment to the $2,000 it'll be better
n
Sigma 2k+4
k=1
4th term in sequence?
Answer:
12
Step-by-step explanation:
2k+4= 2*4 +4=8+4=12
hope it will help
Answer:
12
Step-by-step explanation:
Given:
[tex]\displaystyle \sum^n_{k=1}2k+4[/tex]
The 4th term in the sequence is when k = 4.
Therefore, substitute k = 4 into 2k + 4:
⇒ 2k+ 4 = 2(4) + 4
= 8 + 4
= 12
Therefore, the 4th term in the sequence is 12
Help! Select the correct answer.
Graph the following system of inequalities. WILL GIVE BRAINLY!!
Answer:
w is the correct answer
Step-by-step explanation:
[tex]y \leqslant \frac{1}{3} x - 2[/tex]
If we choose the point (3, 0), we obtain
0 <= -1, which is not true. So we shade the region to the left of x = 4 (which is a dashed vertical line) and below
y = (1/3)x - 2 (which is a solid line).
Compute the projection of u on v.
Answer:
[tex]\frac{3}{7}.v[/tex] option (C) is correct
Step-by-step explanation:
projection of vectors: The vector projection of one vector over another vector is the length of the shadow of the given vector over another vector.
projection of vector u on v is given by :
[tex](\frac{u.v}{v.v}).v[/tex]Given,
vector u = <5, 7, 1>
vector v = <2, -1, 3>
substituting these values in the above formula
[tex][\frac{(2,-1,3)(5,7,1)}{(2,-1,3).(2,-1,3)} ].v[/tex] = [tex]\frac{6}{14}.v= \frac{3}{7}.v[/tex]thus the correct answer is option (C)
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A student wants to simulate 37 birthdays, but she does not have a calculator or software program available, so she makes up 37 numbers between 1 and 365. Is it okay to conduct the simulation this way? Why or why not?
It is not okay to conduct the simulation because people generally favor some numbers.
How to illustrate the information?From the information given, the student wants to simulate 37 birthdays, but she does not have a calculator or software program available.
In this case, it's not okay to conduct the simulation because people generally favor some numbers.
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If you receive a 30% DISCOUNT off an item costing $60.00, how much money do you save?
Answer:
Money saved = $18
Step-by-step explanation:
Firstly, the term discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.
Given
Cost of an Item = 60$
Discount % = 30% on cost
Hence, Discount in $ = 60$*30%
= 18$
Actual Cost = 60$ - 18$ = 42$
Therefore, Savings = Discount
= 18$
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On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4) and goes through (1, 2). g (x) increases from quadrant 3 into quadrant 4 and approaches y = 0. It crosses the y-axis at (0, negative 4) and goes through (1, negative 2).
Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?
g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) Superscript x
g(x) = 4(one-half) Superscript negative x
Answer: [tex]-4\left(\frac{1}{2} \right)^{x}[/tex]
Step-by-step explanation:
To reflect the graph of a function across the x-axis,
[tex]y=f(x) \longrightarrow y=-f(x)[/tex]
Answer:
c
Step-by-step explanation:
The diameter of a bicycle wheel is 63 cm. How much distance will it cover in 20revolutions?
Answer:
1256 cm
Step-by-step explanation:
First we must find the perimeter, because the perimeter is equal to 1 revolution.
The perimeter of any circle is Pi(Diameter)
3.14*20
62.8 cm is the perimeter of the bike wheel.
Because the perimeter is basically a revolution, we can multiply 62.8 by 20 to get:
1256 cm
how would you solve 4c + 11 = -25? explain how in complete sentences and list the solution. (yall im so lost in class rn, i need this)
Answer:
c = -9Step-by-step explanation:
4c + 11 = -25
4c = -25 - 11
4c = -36
c = -36 : 4
c = -9
or
4c + 11 + 25 = 0
4c + 36 = 0
c = (-36)/4
c = -9
-------------------
check
4 *(-9) + 11 = -25
-36 + 11 = -25
-25 = -25
the answer is good
Answer:
c= -9
Step-by-step explanation:
1. 4c + 11 = -25
2. Put all like terms together and change the sign. In this case, the +11 will go to the right with the -25 and it will become -11.
Therefore:
4c= -25 -11
4c= -36
3. Make c the subject. Since 4 is being multiplied by c, when it goes to the right, it will divide.
Therefore:
c= -36/4
c= -9
The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 corresponds to the year 2007. Find the assets in each following years. A)2012 B) 2014 C) 2017
The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the assets (in billions of dollars) for a financial firm can be approximated by the function [tex]A(x)=318e^{0.27x}[/tex], where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,
A.) 2012 - [tex]A(12)=318e^{0.27\times 12} = 8,119.72[/tex]
B.) 2014 - [tex]A(14)=318e^{0.27\times 14} = 13,933.5[/tex]
C.) 2012 - [tex]A(17)=318e^{0.27\times 17} = 31,321.23[/tex]
Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.
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24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
Question 24 :
P594.65 : 35 days
P594.65/7 : 35/7 days
P84.95 : 5 days
⇒ A. P84.95
Question 25 :
88.75 + 85.5 + 90.5 + 87.25 / 4
352/4
88
⇒ B. 88
Question 26 :
I = P × r × t
I = 580.00 × 0.065 × 1
I = P37.70
⇒ B. P37.70
A culture started with 1,000 bacteria. After 4
hours, it grew to 1,100 bacteria. Predict how
many bacteria will be present after 12 hours.
Round your answer to the nearest whole
number.
Answer:
1331 bacteria
Step-by-step explanation:
Number bact = 1000 e^kt
1100 = 1000 e^k4
shows k = .023827545
Now for 12 hours
x = 1000 e^(.023827545 * 12)
= 1331
i realized my answer is wrong.
Plss helppppppppppppppp
Answer: [tex]-\frac{3}{2} \leq x < 5[/tex]
Step-by-step explanation:
We can split this into two inequalities, namely [tex]2x-3 < x+2[/tex] and [tex]x+2 \leq 3x+5[/tex].
Solving the first inequality,
[tex]2x-3 < x+2\\\\x-3 < 2\\\\x < 5[/tex]
Solving the second inequality,
[tex]x+2 \leq 3x+5\\\\2 \leq 2x+5\\\\-3 \leq 2x\\\\-\frac{3}{2} \leq x[/tex]
So, the solution is [tex]-\frac{3}{2} \leq x < 5[/tex]
one phone company charged 65% of its normal long-distance rate after 5 p.m. A day-rate long-distance call from Houston to Chicago costs 20 cents per minute. How much is an 11-minute call between these two cities after 5 p.m. ?
The cost of 11-minute call between these two cities after 5 p.m is: 142.
CostGiven:
Charges for long distance=65% or .65
Cost=20 cents per minutes
Number of call minutes=11 minutes
Hence:
Cost =20 cents ×11 minutes times 0.65
Cost =143 cents
Therefore the cost of 11-minute call between these two cities after 5 p.m is: 142.
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Create a budget that will allow you to save at least $100 by the end of October.
Remember, your old budget reflected a net income of $1850.00 and included these expenses:
$600 for your rent
$475 for your car payment, car insurance, and gas
$230 for your utilities, phone, and Internet
$300 for your groceries
$50 for your entertainment
$20 for your renters insurance
$75 for discretionary spending
A final net total of $100 saved per month
Creating a New Budget to Meet Your Saving and Spending Needs
Your new budget needs to include these changes:
A new line to budget $50 per month toward a new computer
Other expenses may be modified as you choose.
A final net total of at least $300 saved per month
According to the updated budget, the net income should be at least $2100.
A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.
The following list explains why the figures shown above are accurate:
The factors for the costs in the previous budget are;
Net income =$1,850.00
Cost of rent =$600
Gas, vehicle payment, and insurance together = $475.
Cost of phone, online world, and utility companies = $230.
Cost of grocery stores= $300
Cost of amusement= $50
Cost of homeowners insurance = $20.
$75 has been set aside for recreational expenditures.
Net monthly savings = $100.
Modifications to the spending plan:
$50 is the allotted sum for a computer system.
Monthly net savings = $300
∴Savings increases= $300-$100=$200
Previous net income+ cost of computer system+ 200(extra savings than previous)
= $(1850+50+200)
=$2100
So,Net earnings = $2,100
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answer a-d please!!!!!!!!!!!!!!!!
a) Intercepts are the points on the x and y axis
In the graph:
x-int: (-2,0), (2,0)
y-int: (0,1)
b) Domain is the list of x-values and Range is the list of y-values that make this graph true
Interval notations of domain and range
(Square brackets because the circles are closed)
Domain: [3,3]
Range: [0,3]
c) Intervals of increase and decrease: where the graph is increasing and decreasing
Increasing: -2 to 0 & 2 to 3
Decreasing: -3 to -2 & 0 to 2
d)Even, odd or neither
It is an even degree as both of its hands are facing upwards
Hope it helps!
Help I have no idea to do this!! I’m stuck!
Answer: 7
Step-by-step explanation:
[tex]A \cap C[/tex] denotes the intersection of A and C, or in other words, how many elements are shared between them.
The number of elements is 2 + 5 = 7
Divide.
74.48 ÷ 7.6
Enter your answer as a decimal in the box.
A media personality argues that global temperatures are not rising, because every year an increase is reported, such as 0.09 degrees C. The difference from the previous year is less than the margin of error of about 0.13 degrees C, so that difference should be ignored. What is the best counterargument?
The difference is only 0.04, but that is still a significant change.
The margin of error is quite small compared to the change year over year, so it is a significant issue.
The change of 0.09 is not a lot and thus should be ignored.
The margin of error is larger than the increase, so we should consider it an issue of just extra information and thus can be ignored.
The best counterargument: the margin of error is quite small compared to the change year over year, so it is a significant issue.
What is Margin error?In statistics, the margin of error refers to half the confidence interval. It measures how much of a random sample does not fall within the confidence interval as the number of samples taken increases indefinitely.
As, the temperature rises by 0.09 degree.
So, the difference between margin error and increase is higher which is
= 0.13- 0.09
=0.04
Hence, The margin of error is quite small compared to the change year over year, so it is a significant issue.
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Which equation represents this number sentence?
Two more than one-third of a number is 8
Answer:
Step-by-step explanation:
One - third = 1/3
then:
one third of a number = a*1/3 = a/3
Then the equation that represents this sentence is:
2 + a/3 = 8
process:
a/3 = 8 - 2
a/3 = 6
a = 6*3
a = 18
Check:
2 + 18/3 = 8
2 + 6 = 8
Donna took out a loan for $17,000 and was charged simple interest at an annual rate of 6.8% .
The total interest she paid on the loan was $867 . Do not round any intermediate computations.
Total amount she paid to repay her loan was $17,687
Amount is the total sum of money paid to the bank.It is basically the sum of interest and principal amount.
Principal is the sum of money taken from the bank
Interest is the sum of money charge by the bank during the period of loan repayment.
Rate of interest is the rate at which interest is charge in the principal sum
Time is the total period of the loan repayment.
Simple interest = (P x Rx T)/100
where, P=principal
R=rate of interest
T= time
Amount= Principal +Interest
As per question,
P=$17000
R=6.8%
I=$687
Amount=P+I
=$17000+687
=$17687
Therefore,Total amount she paid to repay her loan was $17,687
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Write the number below as a fraction in its simplest form
0.125 the 1 and 5 are recurring
If we write 0.125 in the fraction form then we will get 7/20.
Given Number which is 0.125
We are given a number 0.125 and we have to write this in fraction form.
0.125 can be written as 125/1000 it can be written as 7/20 by cutting on the numerator and denominator.
Fraction is a combination of numerator and denominator. If a fraction is solved then it comes in the decimal form. Recurring means the numbers which are coming again and again after the decimal.
In this fraction we have to ignore 1 and 5 because we have no idea how many times it is coming after decimal.
Hence the number 0.125 can be written as 7/20 in the fraction form.
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URGENT + 20 Points! The regression equation for water being poured into a large, cone-shaped cistern is In(volume) = -1.327 +2.993 In(Time). What is the predicted volume for a time of 12 seconds?
- There is a line above "(volume)"
1.810 cm3
6.110 cm3
34.589 cm3
450.485 cm3
The predicted volume for a time of 12 seconds of the large, cone-shaped cistern is; V = 450.485 cm³
How to Solve Regression Equations?We are given the regression equation;
In V = -1.327 + 2.993 In T
Where;
V is volume
T is time
At T = 12, we have;
In V = -1.327 + 2.993 In 12
In V = -1.327 + 7.4373
In V = 6.1103
V = e^(6.1103)
V = 450.485 cm³
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A rectangular prism and a cylinder both have a height of 8m, and their cross-sectional areas are equal at every level parallel to their respective bases.
Complete the steps to find the prism.
1) [tex]V=lwh=5(x)(8)=\boxed{40x}[/tex]
2) [tex]V=\pi r^{2}h=(\pi)(3^{2})(8)=\boxed{72}\pi[/tex]
3) [tex]40x=72\pi\\\\x=\frac{72\pi}{40} \approx \boxed{5.7}[/tex]
A 6-sided number cube is rolled twice. What is the probability of getting a 3 on the first roll and a 4 on the second roll? 2.8% 16.7% 20% 33.3%
Answer: 2.8%
Step-by-step explanation:
On the first roll, probability to get a 3 is 1/6.
On the second roll probability to get a 4 is also 1/6.
To get both of these numbers together, you need to multiply the two probabilities.
1/6 x 1/6 = 1/36.
1/36 = ~2.8
2.8%
Answer: 2.8%
Step-by-step explanation: I got it right on the test.
Which expression is the simplest form of - (4x³ + x²) + 2 (x³ − 3x²)?
OA. -2³ - 7x²
OB.
B. -2x³-5x2
O C.-6x³ - 2x²
OD. -6x³6x²
The expression which is the simplest form of; - (4x³ + x²) + 2 (x³ − 3x²) is; -2x³ -7x².
What is the simplest form of the expression?The expression given in the task content whose simplest form is to be determined is;
- (4x³ + x²) + 2 (x³ − 3x²)
Hence, upon opening up the parentheses, it follows that;
-4x³ - x² +2x³ -6x²
Upon collection and summing up of like terms; -2x³ -7x².
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the length of a cll is 2/3 mm. if the area of the cell is 1/12 square mm, what is the width of the cell
The width of a cell with the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm² is [tex]\frac{1}{8}[/tex].
Given that, the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm².
We need to find the width of the cell.
What is the area of a rectangle?The area of a rectangle is the product of its length and width. So, the area of the rectangle = Length×Width square units.
Now, the area of a cell = [tex]\frac{2}{3}[/tex] ×Width= [tex]\frac{1}{2}[/tex] mm².
⇒Width=[tex]\frac{\frac{1}{12} }{\frac{2}{3} } ={\frac{1}{12} \times {\frac{3}{2}=\frac{1}{8}[/tex]
Therefore, the width of a cell with the length (l) of the cell is [tex]\frac{2}{3}[/tex] mm and area (A) of the cell is [tex]\frac{1}{12}[/tex] mm² is [tex]\frac{1}{8}[/tex].
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Find equation in slope intercept form of the line passing through the points with given coordinates (-4,-2), (-2,2)
Answer:
y = 2x + 6
Step-by-step explanation:
We are given that a line runs through the points (-4,-2) and (-2,2).
We want to write the equation of this line in slope-intercept form.
Slope-intercept form is written as y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name.
First, we need to find the slope of the line.
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points.
Even though we have two points, let's label the values of the points to avoid confusion & mistakes.
[tex]x_1=-4\\y_1=-2\\x_2=-2\\y_2=2[/tex]
Now let's find the slope (remember: the formula has subtraction):
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{2--2}{-2--4}[/tex]
This can be simplified:
m=[tex]\frac{2+2}{-2+4}[/tex]
Add the numbers together.
m=[tex]\frac{4}{2}[/tex]
Divide.
m = 2
The slope of the line is 2.
We can substitute this into the equation for m.
Here is the equation of the line so far:
y = 2x + b
We now need to find b.
As the equation passes through both (-4, -2) and (-2, 2), we can use either one of them to help solve for b.
Taking (-4, -2) for instance:
Substitute -4 as x and -2 as y in the equation we have.
-2 = 2(-4) + b
Multiply.
-2 = -8 + b
Add 8 to both sides.
6 = b
Substitute 6 as b into the equation.
y = 2x + 6
Topic: finding the equation of the line (slope-intercept form)
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given the formula p=k*2 w, find the value of p if k= 5 and w= - 3
Answer:
-75Step-by-step explanation:
Given:
k= 5w= -3Find: p
Formula: p=k²w
Solution:
p=k2w
➡️ p= (5)²(-3)
➡️ p= 25(-3)
➡️ p= -75
Answer:
p= -75Hope it helps
Jack has a rectangular piece of land, the area of which is represented by a₁ = 9.5%. His brother has a different rectangular piece of land, the area of which is represented by a2 = 14-). Let a represent the area in square meters and /represent the length in meters of the pieces of land. The two equations plotted on a graph meet at a point as shown in the image.
Answer:
yea that’s right
Step-by-step explanation:
The population of a large city can be calculated using the function P=345,000(1.01). What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10?
Rate of change (ROC) refers to how quickly something changes over time.
What is rate of change?The term "rate of change" (ROC) describes the rate at which something changes over time. Thus, it is not the amount of individual changes themselves but rather the acceleration or slowdown of changes (i.e., the pace). Rate of change is a tool used in finance to comprehend price returns and spot trend momentum.Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in quantifiable parameters like average speed or average velocity calls for the knowledge of the average rate of change.The ratio between the change in the values of the y variables and the change in the values of the x variables is known as the rate of change.Given data :
The rate of change will be the same for all years. The rate of change is 7%. The . basic formula for this equation is: I(1+R)^T, where I = Initial amount, R = Rate of growth, and T = Time. So the R here is 0.07, or 7%. The growth RATE is constant, the growth AMOUNT will increase each year.
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