The following scenario represents a proportional relationship.

Jason bought 4 pounds of bananas for $3.16.

What is the constant of proportionality?

Answers

Answer 1

The constant of proportionality will be $0.79

What is constant of proportionality?

It is defined as the rate or the ratio of two proportional values which are known to be at the same value.

The two variable values are said to have a proportional association if or when either of their ratio or their product are known to bring about a constant.

Hence, the proportionality constant's value is known by the proportion between the two said quantities.

Jason bought 4 pounds of bananas for $3.16.

k = $3.16/4

k = $0.79

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Related Questions

Which of the numbers is divisible by 3, 4, 5, and 6?


A. 1,080

B. 588

C. 2,360

D. 375

Answers

bro just use a calculator, how hard is it to make some calculation for real..

anyway the answer is A. 1080

A landscaping business is purchasing plants from a nursery to finish a project. It will
cost $14 each to buy each tree and $7 each to buy each bush. The landscaper wishes to
keep the spending to no more than $870. Let t be the number of trees and b be the
number of bushes.
Select the inequality that describes the situation.
14t7b870
14t+7b2870
14t+7b < 870
O14t+7b870

Answers

Answer: 818quuquqiqi$

Step-by-step explanation: because i dont wnna waycj brainly ads haha ok so you see this is shbwbwbwhjwwkkw because hwuqopqpoqiwnndncixo9nbccssioakaka.

Evaluate the expression if x = -3, y = 5, and z=2. (If an answer is undefined, enter UNDEFINED.)
x+y+z/
4y²x

Answers

The value of the expression (x + y + z) / (4xy²) at x = -3, y = 5, and z = 2 will be - 1/8.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ (x + y + z) / (4xy²)

The expression if x = -3, y = 5, and z = 2. Then the value of the expression is given as,

⇒ (-3 + 5 + 2) / (4 × (-2) × (2)²)

⇒ - 4 / 32

⇒ - 1 / 8

The value of the expression (x + y + z) / (4xy²) at x = -3, y = 5, and z = 2 will be - 1/8.

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Problem 1 - If 1 radian = 206265 arcseconds, what is the resolution formula for arcseconds? Convert 1.22 Radian to arcseconds using ratio. Show your work with units.

Problem 2 - A biologist wants to study deforestation with a satellite camera with a pixel resolution of 10 meters/pixel, which at the orbit of the satellite corresponds to an angular resolution of 6 arcseconds. You have already determined the value for arc seconds from problem number one. To measure the loss of plant matter, she detects the reflection by the ground of chlorophyll, which is the most intense at a wavelength of ___________ (1 nanometer = 10-9 meters) [Use the Electromagnetic Spectrum Below to fill in the blank]. To determine the wavelength, use the electromagnetic spectrum visible light section; what color should chlorophyll reflect? Determine the wavelength using the diagram below. Calculate: What is the diameter of the camera lens that will ensure this resolution at the orbit of the satellite?
There are several steps you need to show for calculating the diameter of the camera lens to receive full credit for problem 2

a. Write the literal equation for the problem. What variable are you solving for? It would help if you manipulated the formula to solve this problem. Show your manipulation in steps.

How to solve literal equations help here.

b. What color should chlorophyll reflect? _____________ Where is the wavelength on the spectrum as far as nanometers? ___________ (this is the wavelength you will use for calculation). Not everyone will have the same wavelength, but it should be similar.

c. Use your literal equation and solve the diameter of the camera lens (You should show all work, and your answer should have one significant figure with units in your response). Circle the answer.
Problem 3 –Since you have already determined the diameter of a lens required for an object with your nanometers from problem #2, you can use this direct relationship to determine the necessary diameter to 10 microns (10 microns = 10,000 nanometers). Choosing the diameter of the lens depends on the wavelength. It would help if you constructed a graph showing the diameter of the lens or the mirror in meters needed to obtain a resolution of 1 arcsecond from far-ultraviolet wavelengths of 200 nanometers to infrared wavelengths of 10 micrometers.

Question: Construct a graph that shows the diameter of a lens or mirror needed to obtain a resolution of 1 arcsecond from far-ultraviolet wavelengths of 100 nanometers to infrared wavelengths of 10 microns (10,000 nanometers). From orbit, a human subtends an angle of 1 arcsecond and emits infrared energy at a wavelength of 10 microns. How large would the camera be to resolve a human by his heat emission?

To solve this problem, you will need to determine

1. Set up graph: Which variable would be on X and Y? Which variable is dependent/independent? Use units!

2. Label the graph with the appropriate scale, including a title.

3. Plot point versus draw a line of best fit starting at zero to determine the answer.
1. What does the spatial resolution of a telescope depend on?



2. The spatial resolution of a telescope is proportional to the wavelength of light being detected divided by the telescope's diameter. Is this a direct or inverse relationship? How does that relate to wavelength versus lens diameter?



3. What is the spatial resolution for our eyes?



4. How is spatial resolution related to remote sensing? (from Module 3 reading assignment)



5. How is the GOES satellite related to this lesson? What exactly does the GOES detect?

Answers

Answer:

Step-by-step explanation:

Problem 1

The resolution formula for arcseconds is 1 radian = 206265 arcseconds.

To convert 1.22 radians to arcseconds, we can use the conversion ratio of 1 radian = 206265 arcseconds: 1.22 radians x 206265 arcseconds/radian = 252438.3 arcseconds

Problem 2

a. Literal equation: D = (Wavelength / (2* arcsecond))

Variable to solve for: D (diameter of camera lens)

b. Chlorophyll reflects green light. The wavelength of green light on the electromagnetic spectrum is approximately 550 nanometers.

c. D = (Wavelength / (2* arcsecond))

D = (550 x 10^-9 meters / (2* 6 x 10^-6 radians))

D = (550 x 10^-9 meters / 12 x 10^-6 radians)

D = (550 / 12) x 10^-9 meters / 10^-6 radians

D = 45.83 x 10^-3 meters or 0.04583 meters

Problem 3

The graph would have wavelength in nanometers on the x-axis and diameter of lens or mirror in meters on the y-axis.

The graph would start at 100 nanometers and end at 10,000 nanometers on the x-axis and the y-axis would start at 0 and end at the diameter of the lens or mirror needed to obtain a resolution of 1 arcsecond.

The graph would show that as the wavelength increases, the diameter of the lens or mirror needed to obtain a resolution of 1 arcsecond would decrease. At a wavelength of 10,000 nanometers (10 microns), the diameter of the camera would be 0.04583 meters.

The spatial resolution of a telescope depends on the size of the telescope's aperture and the wavelength of light being detected.

The spatial resolution of a telescope has an inverse relationship with the wavelength of light being detected and the telescope's diameter. As the wavelength increases, the spatial resolution decreases, and as the diameter of the telescope increases, the spatial resolution increases.

The spatial resolution for our eyes is about 1 arcminute.

Spatial resolution is related to remote sensing in that it refers to the ability of a sensor to distinguish between two objects that are close together. A higher spatial resolution allows for more detailed information to be gathered from an image.

The GOES (Geostationary Operational Environmental Satellite) detects weather patterns, temperature, humidity, and other atmospheric conditions. It uses remote sensing technology to gather and transmit data to meteorologists for weather forecasting and monitoring.

Answer:

Problem 1 - If 1 radian = 206265 arcseconds, what is the resolution formula for arcseconds? Convert 1.22 Radian to arcseconds using ratio. Show your work with units.

Problem 2 - A biologist wants to study deforestation with a satellite camera with a pixel resolution of 10 meters/pixel, which at the orbit of the satellite corresponds to an angular resolution of 6 arcseconds. You have already determined the value for arc seconds from problem number one. To measure the loss of plant matter, she detects the reflection by the ground of chlorophyll, which is the most intense at a wavelength of ___________ (1 nanometer = 10-9 meters) [Use the Electromagnetic Spectrum Below to fill in the blank]. To determine the wavelength, use the electromagnetic spectrum visible light section; what color should chlorophyll reflect? Determine the wavelength using the diagram below. Calculate: What is the diameter of the camera lens that will ensure this resolution at the orbit of the satellite?

There are several steps you need to show for calculating the diameter of the camera lens to receive full credit for problem 2

a. Write the literal equation for the problem. What variable are you solving for? It would help if you manipulated the formula to solve this problem. Show your manipulation in steps.

How to solve literal equations help here.

b. What color should chlorophyll reflect? _____________ Where is the wavelength on the spectrum as far as nanometers? ___________ (this is the wavelength you will use for calculation). Not everyone will have the same wavelength, but it should be similar.

c. Use your literal equation and solve the diameter of the camera lens (You should show all work, and your answer should have one significant figure with units in your response). Circle the answer.

Problem 3 –Since you have already determined the diameter of a lens required for an object with your nanometers from problem #2, you can use this direct relationship to determine the necessary diameter to 10 microns (10 microns = 10,000 nanometers). Choosing the diameter of the lens depends on the wavelength. It would help if you constructed a graph showing the diameter of the lens or the mirror in meters needed to obtain a resolution of 1 arcsecond from far-ultraviolet wavelengths of 200 nanometers to infrared wavelengths of 10 micrometers.

Question: Construct a graph that shows the diameter of a lens or mirror needed to obtain a resolution of 1 arcsecond from far-ultraviolet wavelengths of 100 nanometers to infrared wavelengths of 10 microns (10,000 nanometers). From orbit, a human subtends an angle of 1 arcsecond and emits infrared energy at a wavelength of 10 microns. How large would the camera be to resolve a human by his heat emission?

To solve this problem, you will need to determine

1. Set up graph: Which variable would be on X and Y? Which variable is dependent/independent? Use units!

2. Label the graph with the appropriate scale, including a title.

3. Plot point versus draw a line of best fit starting at zero to determine the answer.

1. What does the spatial resolution of a telescope depend on?

2. The spatial resolution of a telescope is proportional to the wavelength of light being detected divided by the telescope's diameter. Is this a direct or inverse relationship? How does that relate to wavelength versus lens diameter?

3. What is the spatial resolution for our eyes?

4. How is spatial resolution related to remote sensing? (from Module 3 reading assignment)

5. How is the GOES satellite related to this lesson? What exactly does the GOES detect?

3 1/4 as an im propder fraction

Answers

[tex]3\dfrac{1}{4}[/tex] as an improper fraction.

To convert a mixed number into a fraction, you'll first have to multiply the whole number(3) by the denominator(4) and add that to the numerator(1).

The denominator will stay the same.

[tex]3\dfrac{1}{4}[/tex]

[tex]\dfrac{3\times4+1}{4}[/tex]

[tex]=\fbox{$\dfrac{13}{4} $}[/tex]

Suppose Fawn plans to take a sample to determine a 90 percent confidence interval for the population mean weight of chocolate in every package. She wishes the confidence interval to be of the form “plus or minus 3 grams,” and is willing to assume that the population standard deviation is equal to 12 grams. How large a sample should she take?

Answers

Suppose Fawn plans to take a sample to determine a 90 percent confidence interval for the population mean weight of chocolate in every package. Fawn should take a sample size of at least 43, to have a 90% confidence interval of plus or minus 3 grams in the weight of chocolate in every package.

What is the sample?

Generally, Fawn can use the formula for the sample size needed to estimate a population mean with a certain level of confidence:

n = (z*σ / E)^2

Where:

n = sample size z = the z-score for the desired level of confidence (e.g., for 90% confidence, z = 1.645) σ = the population standard deviation (12 grams in this case) E = the margin of error (3 grams in this case)

So the sample size needed is:

n = (1.645 * 12 / 3)^2

n= (5.48)^2

n = 43.296

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Suppose that among the population of smartphone owners with
16
GB
16GB16, start text, G, B, end text of storage, the mean amount of storage used is
13
GB
13GB13, start text, G, B, end text and the standard deviation is
3
GB
3GB3, start text, G, B, end text. A consumer research group regularly takes random samples of
50
5050 of these customers and calculates the mean amount of storage
x
ˉ
x
ˉ
x, with, \bar, on top used in each sample.

Answers

The mean and standard deviation based on the information given will be 13gb and 0.4 gb.

How to calculate the mean?

On average, smartphone owners have 13 GB of storage, with a 3 GB standard deviation. 50 smartphone owners are chosen at random as a sample from the general population.

Remember that the sampling distribution resembles the normal distribution if the sample size is large enough (n 30), according to the central limit theorem.

The sampling distribution's mean in this instance is given by because the sample size is sufficient (n = 50).The mean of the sampling distribution is 13 gb

The standard deviation will be:

= 3 / ✓50

= 3 / 5

= 0.4 gb.

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Complete question

Suppose that among the population of smartphone owners with 16 GB of storage, the mean amount of storage used is 13 GB and the standard deviation is 3 GB. A consumer research group regularly takes random samples of 50 of these customers and calculates the mean amount of storage Calculate the mean and standard deviation of the sampling distribution x bar.

Find an ordered pair (x, y) that is a solution to the equation.

4x-y=3

(x, y) = (_, _)

Answers

The point (1,1) would be a solution.

4x-y=3, plug in the point (1,1)

4(1)-1=3 => 4-1=3

We get, 3=3 which is true. Thus this is a point on the line.

Aaron is remodeling his patio. He will decrease the length of his patio, L, by 7 feet. Aaron will also changed the patio's width to be 3 times the original width, W. Which expression shows the ratio of the length to the width of the remodeled patio?

Answers

Answer: top right

Step-by-step explanation:

It says decrease by 7 which mean subtract (-) and times 3 mean multiply by 3 (x3)

Determine a series of transformations that would map Figure J onto Figure K. J
Figure.
Figure

Answers

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

What is a transformation of a shape?

A point, line, or mathematical figure can be converted in one of four ways, and each has an effect on the object's structure and/or position.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The translation does not change the shape and size of the geometry. But changes the location.

Figure J is rotated 90° clockwise and then translated by 3 units toward the right.

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Write the equation of the horizontal line passing through the given point (7,11)

Answers

Answer:

y = 11

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

By what percentage does your current volume need to increase to meet your goal of 50% of the market share for Category A?

Answers

Answer: To determine this percentage, we would need to know the current market share for Category A and the desired market share goal of 50%. With this information, we could calculate the difference between the current market share and the desired market share and express that difference as a percentage of the current market share. Without this information, I am unable to provide an exact percentage.

Step-by-step explanation:

PLEASE HELP!!
Solve for y 4y+5/3=y-10/2

Answers

Answer:

y = -8

Step-by-step explanation:

the answer you chose is correct!!

(2%)Find the solution set ofx^2+4x-21≤0.

Answers

Answer:

(-7,3)

Step-by-step explanation:

14. Ryan owns a small music store. He currently charges $10 for each CD. At this price, he sells about 80 CDs a week. Experience has taught him that a $1 increase in the price of a CD means a drop of about five CDs per week in sales. At what price should Ryan sell his CDs to maximize his revenue? ​

Answers

Answer:  Ryan should sell his CDs for $13 to maximize his revenue.

Step-by-step explanation:

To find the price at which Ryan should sell his CDs to maximize his revenue, we need to use the information provided about the relationship between price and sales, and the formula for revenue (price x quantity sold).

Step 1: Identify the relationship between price and sales. We know that a $1 increase in the price of a CD leads to a drop of 5 CDs per week in sales.

Step 2: Create an equation that relates price, quantity sold, and revenue. Let P be the price of a CD, Q be the quantity sold, and R be the revenue. Then, we have R = P x Q

Step 3: Create a table that shows the relationship between price, quantity sold, and revenue.

Price Quantity Sold         Revenue

10       80                            800

11       75                              825

12      70                                     840

13     65                                        845

14     60                                         840

15     55                                        825

16     50                                   800

17     45                                  785

18     40                                720

19     35                                      665

20     30                                              600

Step 4: Identify the price that maximizes revenue. From the table we can see that the revenue is maximum at $13 which is 845 and this is the price at which Ryan should sell his CDs to maximize his revenue.

Therefore, Ryan should sell his CDs for $13 to maximize his revenue.

Please please look at the picture and answer the question thank you

Answers

Answer:

  y = 3x -1

Step-by-step explanation:

You want the equation of the line through the points (0, -1) and (1, 2), among others.

Y-intercept

The y-value when x=0 is the y-intercept. The table shows you it is -1.

Slope

The slope is the difference in y-values when x-values increase by 1. For the first two points in the table, the y-value shows an increase of ...

  2 -(-1) = 3

This means the slope is 3.

Slope-intercept equation

The slope-intercept equation of a line is ...

  y = mx +b . . . . . . . where m is the slope, and b is the y-intercept

For your line, we have determined m=3, b=-1, so the equation is ...

  y = 3x -1

Use the circle Q shown below to answer the following questions:
4. Measure of arc AB = ______ 10. Measure of arc BAD = _____
5. Measure of arc DC = ______ 11. Measure of arc ADC = _____
6. Measure of arc BC = ______ 12. Measure of arc ACB = _____
7. Measure of arc AED =______ 13. Measure of arc ABD = _____
8. Measure of arc BD = ______ 14. Measure of arc CED = _____
9. Measure of arc AC =______ 15. Measure of arc BAC=_____

Answers

The measure of the arcs in relationship to the central angles measures are:

4. 40°

5. 50°

6. 90°

7. 180°

8. 140°

9. 130°

10. 220°

11. 230°

12. 320°

13. 180°

14. 310°

15. 270°

What is the Relationship between the Measure of the Central Angle and the Subtended Arc of a Circle?

The relationship is that the measure of the central angle is the same as the measure of the arc it subtends in a circle.

4. Measure of arc AB = measure of central angle AOB

Substitute

Measure of arc AB = 40°

5. Measure of arc DC = measure of central angle DOC

Substitute

Measure of arc DC = 50°

6. Measure of arc BC = 180 - 40 - 50 = 90°

7. Measure of arc AED = 180°

8. Measure of arc BD = 90 + 50 = 140°

9. Measure of arc AC = 40 + 90 = 130°

10. Measure of arc BAD = 180 + 40 = 220°

11. Measure of arc ADC = 180 + 50 = 230°

12. Measure of arc ACB = 360 - 40 = 320°

13. Measure of arc ABD = 180°

14. Measure of arc CED = 360 - 50 = 310°

15. Measure of arc BAC = 40 + 180 + 50 = 270°

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What is the slope of the line?

Answers

Answer:

4/5

Step-by-step explanation:

rise over run

What is the surface area? 11 ft 26 ft 21 ft

Answers

The surface area of the triangular prism is 416  yd²

What is an equation?

An equation is a expression that shows the relationship between numbers and variables.

The surface area of a solid object is the total area that the surface of the object occupies.

From the diagram:

Surface area = 2(10 yd * 10 yd) + 2(0.5 * 12 yd * 8 yd) + (10 yd * 12 yd) = 416  yd²

The surface area is 416  yd²

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Analyze the diagram below and complete the instructions that follow.


Find the unknown side length, x. Write your answer in simplest radical form.


A.24
B.4// 37
C.2 // 154
D.5 // 117 I posted the pictures below

Answers

The value of unknown side length x in simplest radical form is 4√37.

Option B is the correct answer.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Two right triangles.

Applying the Pythagorean theorem in the bigger triangle.

We get,

25² = 7² + Length²

25² = 49 + Length²

Length² = 625 - 49

Length² = 576

Length = √576

Length = 24

Now,

Applying the Pythagorean theorem in the smaller triangle.

We get,

x² = 4² + 24²

x² = 16 + 576

x² = 592

x² = 16 x 37

x = √(16 x 37)

x = √(4² x 37)

x = 4√37

Thus,

The value of x is 4√37.

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?????????????????
???????

Answers

Answer:

he never made a mistake, so the answer is A

Step-by-step explanation:

these are in line with integers and their rules.

The rule that's being applied there's if numbers of the same base are being divided, maintain the base and subtract the powers.

Solve x/5-3<5 for oddesyywaree

Answers

Answer:

x < 40

Step-by-step explanation:

x/5-3<5

=5×x/5 -3×5 < 5×5

=x - 15 < 25

NOTE 5 will cancel 5 living x.

=x < 25 + 15

x < 40.

Therefore x is 40.

find the parametric equation of the conic.sections (x+1)²÷16-y²÷9=1​

Answers

A circle with a radius of three and a center at (-1, 4) is a conic section with the parametric equations X=3cos(t)-1 and Y=3sin(t)+4.

Find the parametric equation of the conic sections ?

The circle, the ellipse, the parabola, and the hyperbola are examples of conic sections.

Using a third variable (t or ), parametric equations are utilized to express the x and y variables in terms of a less complex way.

The parametric equation for a circle is given by: x=r cos(t) +h, y=r sin(t) +k, where r is the radius of the circle and (h, k) is the center of the circle. The equation for a circle is (x- h)2+(y- k)2 = r2.

A circle with a radius of three and a center at (-1, 4) is a conic section with the parametric equations X=3cos(t)-1 and Y=3sin(t)+4.

The circle's equation is (x + 1)2 + (y - 4)2 = 32.

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Evaluate the following expression using the properties of logarithms.

log subscript 4 left parenthesis 4 right parenthesis plus log subscript 4 left parenthesis 16 right parenthesis plus log subscript 4 left parenthesis 64 right parenthesis


10


9


6


17

Answers

Answer:

6

Step-by-step explanation:

Given logarithmic expression:

[tex]\log_{4}\left(4\right)+\log_{4}\left(16\right)+\log_{4}\left(64\right)[/tex]

Rewrite 16 as 4² and 64 as 4³:

[tex]\implies \log_{4}\left(4\right)+\log_{4}\left(4\right)^2+\log_{4}\left(4\right)^3[/tex]

[tex]\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies \log_{4}\left(4\right)+2\log_{4}\left(4\right)+3\log_{4}\left(4\right)[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies 1+2(1)+3(1)[/tex]

Simplify:

[tex]\implies 1+2+3[/tex]

[tex]\implies 3 + 3[/tex]

[tex]\implies 6[/tex]

Ali used 2/7 of a foot of ribbon to attach a decoration to his rearview mirror. Now, he has 10/21​ of a foot of ribbon left.

QUESTION: How much ribbon did Ali start with?

Answers

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

What are mathematical operations?

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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which graph best represents the function f(x)=1(1.5)^x

Answers

the answer is graph n

Please help thanks you

Answers

in word problems

each means multiply

3 tables each day means

3 times x or 3x

2 tables each day means

2x

the day that Miguel and Asia have the same number of tables means

38-3x=28-2x

x=10

y=38-3x

y=28-2x

y = 8

graph

y=38-3x

y=28-2x

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Express the trig ratios as fractions in simplest terms.

Answers

The value of trig in ratios as fraction are, sin X = 45/24 , cos W = 17/8

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangle is shown in figure.

Now, we can find all the values as;

⇒ sin X = Perpendicular / Hypotenuse

⇒ sin X = 45 / 24

And, we get;

⇒ cos W = Base / Hypotenuse

⇒ cos W = 51 / 24

⇒ cos W = 17 / 8

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Debra is putting money into a checking account. Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Debra has been adding money. Suppose that x and y are related by the equation 650+20x=y.
Answer the questions below.
Note that a change can be an increase or a decrease.
For an increase, use a positive number. For a decrease, use a negative number.

Answers

The rate of change is $20 per week while the initial value is $650

What is an equation?

An equation is an expression composed of variables and numbers linked together by mathematical operations.

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept.

Let y represent the total amount of money in the account (in dollars). Let x represent the number of weeks Debra has been adding money.

Given the equation:

y = 20x + 650

The y intercept is $650 and the slope is $20 per week

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Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.

A. List three possible dollar amounts in cash and prizes Regan can win
B. Write an inequality to represent the dollar amounts d in cash and prizes Regan can win.

Answers

An inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Given that, Regan won the grand prize at a store giveaway. The grand prize winner is guaranteed to win at least $500 in cash and prizes.

Let d represent the amount of cash in dollars and p represent the amount of prizes.

Since the  grand prize winner is guaranteed to win at least $500,

So, p + d ≥ 500

Therefore, an inequality to represent the dollar amounts d in cash and prizes Regan can win is p + d ≥ 500.

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