The coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
What is coterminal angles?Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have an angle:
290 degree
To find the coterminal angle, add and subtract 360 degree in the angle 290 degree.
Coterminal angle = 290 + 360 = 650 degree
= 290 - 360 = -70 degree
Reference angle = 360 - 290 = 70 degree
Thus, the coterminal angles for the 290 degrees are 650 degree, -70 degree and reference angle is 70 degree respectively.
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Can you help me solve this pls!
Answer:
Here is the ans ...hope it helps:)
A sound wave is modeled with the equation y = 1 4 cos 2 π 3 θ . a. Find the period. Explain your method. b. Find the amplitude. Explain your method
If the frequency of the sound wave is 2π/3, then the time period of the sound wave will be 0.447 seconds. Then the amplitude is 14.
What is wavelength?The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.
The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.
A sound wave is modeled with the equation y = 14 cos (2π/3) θ.
The frequency of the sound wave will be
[tex]f = \dfrac{2\pi}{3}[/tex]
Then the time period will be
[tex]T = \dfrac{1}{f}\\\\T = \dfrac{1}{2\pi /3}\\\\T = \dfrac{3}{2\pi}\\\\T = 0.477 \ \rm seconds[/tex]
Then the amplitude of the sound wave will be
A = 14
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The function f(w)=10+13w represents the amount of money in a child's bank account w weeks after the child started saving their allowance. What does the value 10 represent in this situation?
Answer: The value 10 represents the child's initial value before the weeks started.
Step-by-step explanation: The equation is f(w) = mx + b, where b is the inital value. 10 is the b value.
. What is the value of the expression? . tan {-11pi/6}
please help. determine the value of cos(z). WX=6, XY=8, WY=10
The value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.
What is right angle triangle property?In a right angle triangle, the ratio of the opposite side to the base side is equal the tangent angle made opposite to the opposite side.
[tex]\tan \theta =\dfrac{b}{a}[/tex]
Here, (b) is the opposite side, (a) is the base side.
The two similar right angle triangle are shown in the image in which WX=6, XY=8, WY=10.
For the similar triangle, the ratio of two sides of a triangle is equal to the ratio of corresponding sides of the other triangle. Thus,
[tex]\dfrac{YZ}{WY}=\dfrac{XY}{WX}\\\dfrac{YZ}{10}=\dfrac{8}{6}\\YZ=\dfrac{8}{6}\times10\\YZ=13.33[/tex]
By the right angle property,
[tex]\tan Z=\dfrac{WY}{YZ}\\Z=\tan^{-1}( \dfrac{10}{13.33})\\Z=36.9^o[/tex]
The value of cos(Z) is,
[tex]\cos Z=\cos 36.9\\\cos Z=0.8[/tex]
Thus, the value of cos(z), when the sides of the triangle are WX is 6, XY is 8 and WY is 10, is 0.8.
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Which of the following expressions would give the number of ways to choose a group of 7 from a group of 15?
A. 7!/1517!
B. 15!/718!
C. 7!/1518!
Answer:
B
Step-by-step explanation:
The number of ways to choose a combination of 7 objects from a group of 15 objects is 15! / (7! 8!)
Adult tickets to the fall play cost 6 and student tickets cost 3 . The drama class sold 25 more student tickets than adult tickets to the fall play. If the class collected 660 from ticket sales, how many student tickets were sold?
Let x be the total number of student tickets sold.
Then, x - 25 is the number of adult tickets sold.
660 = 3x + 6(x - 25)
660 = 3x + 6x - 150
9x = 810
x = 90
Thus, 90 student tickets were sold.
Which polynomial is a difference of two squares? O x² – 16 O x² +16 O x² – 8 O x² + 8
Answer:
x²-16
Step-by-step explanation:
x²-16 =0
Add 16 to both sides
x²-16 + 16 = 0 + 16
Simplify
x²= 16
For x²=(fa) the solutions are x = √(fa), -√(fa)
X=√16 ,X= -√16
√16=4
-√16 = -4
x=4, x= -4
Find the magnitude and direction angle of vector v
The magnitude of the vector v is 5, while the direction of the vector v from the positive x-axis is 135°.
What is a vector?In physics, a vector is a quantity that has both magnitude and direction. It is often represented by an arrow with the same direction as the amount and a length proportionate to the magnitude of the quantity. A vector, although having magnitude and direction, does not have a location.
Given the value of the vector v is 5(cos135° i + sin135° j). Therefore, The magnitude of the vector v is 5, while the direction of the vector v from the positive x-axis is 135°.
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Could someone help me with 5 and 6?
Answer:
5: A
6: B
Step-by-step explanation:
How me solve this please
Answer:
A
Step-by-step explanation:
100/25 = 4
but we have 5 students absent so 25-5=20
100/20 = 5
so A
If you have a home with an assessed value of $784,345, what is the difference in what you would pay in taxes in new jersey, which has a 2.4% property tax, and hawaii, which has a 0.27% property tax?
$35,530.83
$18,824.28
$16,706.55
$2,117.73
The difference in what you would pay in taxes is $16,706.55
How to determine the difference in tax?The given parameters are:
Assessed value = $784,345Tax in New Jersey = 2.4%Tax in Hawaii = 0.27%The difference in tax is:
Difference = 2.4% - 0.27%
Evaluate
Difference = 2.13%
The amount is then calculated as:
Amount = 2.13% * $784,345
Evaluate
Amount = $16,706.55
Hence, the difference is $16,706.55
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Audrey ran 2 1/6 miles yesterday. Today, she ran 1 3/6 miles. Tomorrow, she plans on running 1 4/6 miles less than yesterday and today combined. How many miles will Audrey run tomorrow?
Answer:
2 miles
Step-by-step explanation:
Add the first 2 terms (2 1/6 and 1 3/6) by adding the whole term and fractional term to get 3 4/6, then subtract 1 4/6 by subtracting 1 from 3 and 4/6 from 4/6 to get 2 0/6, which is just 2.
TP is a tangent to the circle at centre O. The value of x is
Answer:
x = 62
Step-by-step explanation:
the angle between a tangent and the radius at the point of contact = 90°
then Δ PTO is right
the sum of the 3 angles in the triangle = 180° , so
x = 180 - 90 - 28 = 180 - 118 = 62
Answer:
x = 62°Step-by-step explanation:
TP is a tangent to the circle at centre O
means
TP is perpendicular to TO
Then
m∠OTP = 90°
Then
OTP is a right triangle
Then
x = 90 - 28
= 62
A popular magazine tests cars and trucks for mileage on the road and around the city. The magazine reports that the most common gas mileage was 24 mpg. Which statistic does this 24 represent
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
Mean of a data.Mean is one of the measure of dispersion and is the avearage of a set of data.
According to the question, the magazine reports that the most common gas mileage was 24 mpg. This shows that reports have published several gas mileages for cars and truck and the average of this mileage is 24mpg
It shows that the values of the mileages are close to 24 mpg. Hence statistics refes 24 as the mean.
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Amelie has a spinner divided into ninths equal sections that are labeled 1 through 9. she wants to compare the theoretical probability and experimental probability as spending an odd number she spends the spinner 12 times and records the results in this list. Drag and drop the answers into the boxes to correctly complete the sentences.
•Theoretical probability of spinning in on number is equal to (blank). The probability of spinning a number is equal to (blank). Therefore the theoretical probability of being a number is (blank) the experimental probability of spelling and odd number.
Choices- 1/9. 1/2. 5/9. 2/3. greater than. less than.
HURRY PLEASE! THANK YOU GUYS
Using the probability concept, it is found that the sentence that describes this situation is given as follows:
Theoretical probability of spinning in on number is equal to 5/9. The probability of spinning a number is equal to 2/3. Therefore the theoretical probability of being a number is less than the experimental probability of spelling and odd number.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials, while for a theoretical probability, they are considered before the trials.
From 1 to 9, there are 5 out of 9 odd numbers, hence the theoretical probability is given by:
pT = 5/9 = 0.5555.
Out of the 12 trials, 8 resulted in an odd number, hence the experimental probability is given by:
pE = 8/12 = 2/3 = 0.666.
Hence the sentence is:
Theoretical probability of spinning in on number is equal to 5/9. The probability of spinning a number is equal to 2/3. Therefore the theoretical probability of being a number is less than the experimental probability of spelling and odd number.
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Determine the value of c such that f(x,y) = c(x 2y), x = 1, 2
The value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
f(x, y) = c(x+2y),
x = 1, 2 and y =1, 2, 3
f(1, 1) = C(1 + 2) = 3C
f(1, 2) = C(1 + 4) = 5C
f(1, 3) = C(1 + 6) = 7C
f(2, 1) = C(2 + 2) = 4C
f(2, 2) = C(2+ 4) = 6C
f(2, 3) = C(2 + 6) = 8C
We know the sum of the all probability is 1
3C+5C+7C+4C+6C+8C=1
33C =1
C = 0.03030
Thus, the value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3 because the sum of the probability is always 1
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The low temperatures last week, in degrees Fahrenheit, were 30, 35, 40, 41, 42, 45, and 47.
What is the average of the low temperatures?
40
Step-by-step explanation:The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.
How to Calculate the Average
The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.
Finding the Average
Now, let's find the average of this specific data set. First, add all of the data together.
30+35+40+41+42+45+47 = 280Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.
280/7 = 40This means that the average of the set is 40.
Other Measurements of Center
The mean is not the only measurement of center. There are 3 common measures of center.
The mean is found by adding all the terms and then dividing by the number of terms. Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.Two students created a game of dice. they determined that each roll would add the value of the die if it was an odd number. if the roll was even, it would subtract the value of the die. (for example, a roll of 2 would subtract two points, but a roll of 3 would add three points.) what is the expected value for this game? –3 –0.5 0 0.5
The expected value for the given experiment is:
E = -0.5
How to get the expected value?For an experiment with the possible events {x₁, x₂, ..., xₙ}, each with the correspondent probability {p₁, p₂, ..., pₙ}, the expected value is defined as:
E = x₁*p₁ + ... + xₙ*pₙ
In this case, all the probabilities are equal to 1/6 (assuming that the dice is fair), then we have:
E = (1/6)*(1 - 2 + 3 - 4 + 5 - 6) = (1/6)*(-3) = -0.5
We conclude that the expected value for the experiment is -0.5
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Answer:
B) -0.5
Step-by-step explanation:
Select the correct answer.
Answer:
B
Step-by-step explanation:
100 divided by the sum of 22 and 3 in a expression
Answer:
100 / (22+3)
=100/25
=4
Step-by-step explanation:
You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.
A cube-shaped wooden chest with side edges of 4 feet.
The area is
square inches.
The surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.
What is the surface area of a cube?Surface area of cube is the sum of the area of each face by which it is enclosed. The surface area of cube can be calculated with the following formula;
[tex]A=6a^2[/tex]
Here, (a) is the length of side of the cube.
You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.
A cube-shaped wooden chest with side edges of 4 feet. Thus the surface area of it is,
[tex]A=6a^2\\A=6(4)^2\\A=96\rm\; ft^2[/tex]
Thus, the surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.
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help asap check picture
The degree of the polynomial will be equal to 3 for the given data.
What is polynomial?polynomial an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
The highest exponent of a polynomial function is the degree, which specifies the maximum number of solutions a function can have and the maximum number of times a function will cross the x-axis when graphed.
So in the given function the highest power of the variable is three so the
degree of the polynomial will be equal to 3 for the given data.
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The quotient of (x4 5x3 – 3x – 15) and (x3 – 3) is a polynomial. what is the quotient? x7 5x6 – 6x4 – 30x3 9x 45 x – 5 x 5 x7 5x6 6x4 30x3 9x 45
The quotient of (x⁴ + 5x³ – 3x – 15) and (x³ – 3) is a polynomial f(x) = x⁷ + 5x⁶ - 6x⁴ - 30x³ + 9x + 45
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The quotient of (x⁴ + 5x³ – 3x – 15) and (x³ – 3) is a polynomial. Let f(x) represent the polynomial, hence:
f(x) = (x⁴ + 5x³ – 3x – 15)(x³ – 3)
f(x) = x⁷ + 5x⁶ - 3x⁴ - 15x³ - 3x⁴ - 15x³ + 9x + 45
f(x) = x⁷ + 5x⁶ - 6x⁴ - 30x³ + 9x + 45
The equation of a circle with radius of 6 units and center on the x axis could be (x - 6)² + y² = 36
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Answer:
C x+5
Step-by-step explanation:
used m a t h w a y to check and the answer above is wrong, i got it wrong on edge 2022 (also i had to spread the letters out for m a t h w a y) bc otherwise it won't let me post it. Another thing you can use is symbolab, slader, chegg, etc.
How do you solve this??
Answer:
The domain is all real numbers, x, such that x ≤ 4/3.
The range is all real numbers, y, such that y ≥ 0.
Step-by-step explanation:
The domain is the set of values that can be substituted for x.
The expression inside the square root cannot be negative; therefore, it must be zero or positive.
4 - 3x ≥ 0
-3x ≥ -4
x ≤ 4/3
The domain is: x ≤ 4/3
The range is the set of value that can be substituted for y.
When all numbers of the domain are used for x, and then the square root is taken, the smallest value that the square root can have is zero. Therefore, y can be all real numbers greater than or equal to 0.
The range is: y ≥ 0
A teacher wants to know if burning a scented candle affects students’ performance on pop quizzes. In the experiment, there will be a treatment group and a control group each taking their quizzes in a room that either does or does not have a scented candle burning.
Why is randomization important when setting up an experiment to answer this research question?
to ensure that both groups have a nice mix of students
to ensure that the two groups have the same number of students
to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills
to ensure that the rooms for both groups are approximately the same regarding time of day, temperature, sound control, and lighting
Randomization is important to ensure that both groups are roughly equivalent regarding students’ preparedness, anxiety levels, and study skills.
What is randomization in an experiment?Randomization is when subjects in an experiment are placed in either the control group or the treatment group without any structure. They are placed in either groups randomly. The purpose of randomization is to ensure that subjects in either group are homogenous.
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Three polygons are still use the drop-down menus to describe the polygons use a protractor click the protractor button below
Answer:
3 vertices
Acute
Step-by-step explanation:
Question
Three polygons are still use the drop-down menus to describe the polygons use a protractor click the protractor button below
answer: 3 vertices first drop down
acute second drop down
6x^2-12x-210
What are the x's
Answer:
in the pictureStep-by-step explanation:
× = 7× = 5
HOPE ITS HELP
Answer:
x = -7 and x = 5
Step-by-step explanation:
First, make the problem easier by taking out the common factor (6).
6x² - 12x - 210 -----> 6(x² - 2x - 35)
What two numbers multiply to -35 and add to -2? These two numbers are -7 and 5. You can now write the factored form of the expression.
6(x² - 2x - 35) -----> 6(x - 7)(x + 5)
Finally, find the x's by making each term with x equal to zero.
x + 7 = 0 -----> x = -7
x - 5 = 0 -----> x = 5
The x's are x = -7 and x = 5
Simplify (2x2−4x+5)+(x2+3x−7)and put in standard form.
Answer:
3x^2 - x - 2 (simplified)
3x^2 - x = 2 (standard form)
Step-by-step explanation:
Answer:
[tex]3x^2 - x - 2[/tex]
Step-by-step explanation:
Step 1: Combine like terms
[tex](2x^2- 4x + 5) + (x^2 + 3x - 7)[/tex]
[tex]2x^2 - 4x + 5 + x^2 + 3x - 7[/tex]
[tex](2x^2 + x^2) + (-4x + 3x) + (5 - 7)[/tex]
[tex]3x^2 - x - 2[/tex]
Answer: [tex]3x^2 - x - 2[/tex]
Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different amounts of time.
Time (minutes) 8, 12, 16, 20
Water (gallons) 153,197,241,285
Answer the following questions.
Choose the statement that best describes how the time and the amount of water in the pool are related. Then give the value requested.
As time increases, the amount of water in the pool decreases.
gallons per minute
As time increases, the amount of water in the pool increases.
gallons per minute
(b)How much water was already in the pool when Ann started adding water?
gallons
Answer:
(a) As time increases, the amount of water in the pool increases.
11 gallons per minute
(b) 65 gallons
Step-by-step explanation:
From inspection of the table, we can see that as time increases, the amount of water in the pool increases.
We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.
The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).
Choose 2 ordered pairs from the table:
[tex]\textsf{let}\:(x_1,y_1)=(8, 153)[/tex]
[tex]\textsf{let}\:(x_2,y_2)=(12,197)[/tex]
Input these into the slope formula:
[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11[/tex]
Therefore, the rate at which the water in the pool is increasing is:
11 gallons per minute
To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]\implies y-153=11(x-8)[/tex]
[tex]\implies y-153=11x-88[/tex]
[tex]\implies y=11x-88+153[/tex]
[tex]\implies y=11x+65[/tex]
When Ann had added no water, x = 0. Therefore,
[tex]y=11(0)+65[/tex]
[tex]y=65[/tex]
So there was 65 gallons of water in the pool before Ann starting adding water.
#a
Take 2 points
(12,197)(16,241)Slope=Rate of water flow
m=241-197/16-12m=44/4m=11The water increases with respect to time as slope is positive.
It's
11gallons/min#2
We need amount of water when time is 0
So
Let that be y and point is (0,y) and comaparing with (8,153)
153-y/8=11153-y=88y=153-88y=65gallons