Andy runs and eats breakfast every morning before work. When he runs, he bums 160 calories per mile for the first 3 miles. When he runs more than 3 miles, he burns 98 calories per additional mile. On Tuesday morning. Andy runs an additional x miles over 3 miles and then consumes y calories for breakfast. Which of the following functions, f , models the net number of calories Andy has lost after running and eating breakfast on Tuesday morning? A)f(x, y) = 98x – yB)f(x, y) = 160x + 98x – y C)f(x, y) = 480 + 98x + yD)f(x, y) = 480 + 98x – y
Image of page 25

Answers

Answer 1

Answer:

C

Step-by-step explanation:

So you already know you do 480 calories for the first 3 miles so it doesnt need to be multiplied by the X amount of extra miles

Now you burn 98 calories per extra mile so for instance (if you did say 2 miles you would want to multiply 98 calories by 2 cause you burn 98 calories per mile)

Lastly, you just ate Y amount of calories so you need to subtract that from the burned calories cause you just now consumed Y amount of calories

So in conclusion, the answer would be C. f(x, y) = 480 + 98x + y


Related Questions

Using the unit circle find the exact value. CSC -30º =​

Answers

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = [tex]\frac{1}{sinx}[/tex] and the exact value sin30° = [tex]\frac{1}{2}[/tex]

sin(- 30)° = - sin30° = - [tex]\frac{1}{2}[/tex], thus

csc (- 30)° = [tex]\frac{1}{-\frac{1}{2} }[/tex] = - 2

If a car goes around a turn too quickly, it can leave tracks that form an arc of a circle. By finding the radius of the circle, accident investigators can estimate the speed of the car. To find the radius, accident investigators choose points A and B on the tire marks. Then, the investigators find the midpoint C of AB¯¯¯¯¯¯¯¯. Use the diagram to find the radius r of the circle. Round your answer to the nearest tenth.

Answers

Answer:

155.7

Step-by-step explanation:

Use what you know.

Segment AC is 130 ft

Segment CD is 70ft

If you use the Pythagorean Theorem, in this case being  =  +

To find segment CE, you would do r-70

So,  =  +

= 16,900 +  -140r + 4900

Add the -140r to the left side and then get rid of the two . Then Add 16,900 and 4900 together

You'll end up with 140r = 21,800

Divide 140 on each side.

Your final answer will be 155.7 (rounded to the nearest tenth)

anyone ? please help out

Answers

Answer:

1:>

2:>

3:>

Step-by-step explanation:

Answer:

-5    >    -12 -5 is greater than -12 because -5 is closer to positive numbers (0) then -12 is.

-6  >   -8     -6 is greater than -8 because -6 is closer to positive numbers (0) then -8 is.

6  >  -11   6 is greater than -11 because 6 is a positive number and -11 is a negative number.

Dont forget to mark brainliest please!

Question 1
(01.01 LC)

Which of the following is a rational number? (1 point)

square root of 48, square root of 49, square root of 50, square root of 51
Group of answer choices

square root of 48

square root of 49

square root of 50

square root of 51

Answers

Answer:

49

Step-by-step explanation:

7 is rational and it's the square root of 49.

Answer:

[p

Step-by-step explanation:

Question 10(Multiple Choice Worth 5 points)

(01.01 LC)

Which of the following is a rational number?

square root of 15, square root of 16 square root of 17, square root of 18

square root of 15

square root of 16

square root of 17

square root of 18

What is the next term of the geometric sequence?
54,36, 24, _____
Can someone please explain this to me?

Answers

Answer:

16

Step-by-step explanation:

In a geometric sequence you are just multiplying basically. To go from 36 to 24, you multiply by 2/3, and the same will be with the next term. When you multiply 24 by 2/3 you get 16.


There are 33 children in the class. 22 of the
children are girls. What fraction of the class are
girls?

Answers

Answer:

2/3 of the class are girls.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

hope this helps

Pleaseee help!!!!......

Answers

Answer:

D

Step-by-step explanation:

D is the correct answer!


Can someone help me and show how to write the perimeter equation to find x.
50 points. Answer part b. for full 70 points

Answers

Answer:

a) 10x + 8 = 21

b) x = 1.3

Step-by-step explanation:

The line of symmetry is a vertical line that passes through point C.

That makes sides BC and CD congruent, and sides AB and ED congruent.

perimeter = AB + BC + CD + DE + EA

perimeter = 2x + 3 + x + 1 + x + 1 + 2x + 3 + 4x = 10x + 8

perimeter = 21

a) Equation:

10x + 8 = 21

b)

10x + 8 = 21

10x = 13

x = 1.3

Pythagorean Theorem: Jason only has room for a TV that is less than 30” wide.
Can he fit the TV in his room?

Answers

Answer:

No

Step-by-step explanation:

Using the Pythagorean Theorem, make 40 = c, 24 = b and the remaining side (the width) = a.

Solving for a we get a = [tex]\sqrt{c^2-b^2}[/tex]. Then plugging in the values for c and b, we get a = [tex]\sqrt{1024}[/tex] = 32

Since the width of the TV needs to be less than 30" wide, it will not fit since the width of the TV is 32" wide.

Answer:

No, the tv is 32 inches wide.

Step-by-step explanation:

[tex]a^{2} +b^{2} = c^{2} \\24^{2} +b^{2} =40^{2} \\40^{2} -24^{2} =b^{2} \\1600-576=b^{2} \\1024=b^{2} \\\sqrt{1024} =b\\b=32[/tex]

A number that is at most 60

Answers

Answer:

60

Step-by-step explanation:

Answer:

60>x

Step-by-step explanation:

there is the line under the greater than sign

-5 3/4 - 3 1/2=
plzzzzzzzzzzz help me

Answers

Answer:

-9 and 1/2

Step-by-step explanation:

just plug them in the calculator

Answer:

-2 1/4

Step-by-step explanation:

I converted these to decimals and did the equation from there.

Describe the end of behavior

Answers

the end of behavior of a function is the behavior of the graph of the function

Answer:

Step-by-step explanation:

Recognize that this is the exponential function y = e^x with some tweaks:

f(x) = 2e^x + 1, as compared to y = e^x.

y = e^x is a basic function that we all should know well.  Its graph looks much like the graph shown as "Part A."  The graph starts in Quadrant II, crosses the y-axis into Quadrant I, and then continues growing rapidly as x increases.

As x => positive infinity, y => positive infinity.  This is true of f(x) = 2e^x + 1 also.

As x => negative infinity, y => 0 (speaking of y = e^x).

As x => positive infinity, f(x) = 2e^x + 1 => positive infinity, in Quadrant I.

Find the missing values (4,16) and (x,24)

Answers

Answer:

(6, 24)

Step-by-step explanation:

please help!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

set up the equation

(8x-3)=(5x+6)

then solve for x by adding 3 on both sides and subtracting 5x from both sides to get x by its self

you end up with

3x=9

divide 9 by 3 and theres your answer

x=3

I’m pretty sure it is X=3

Pls help 100 points


Consider this dilation.

(a)
Is the image of the dilation a reduction or an enlargement of the original figure? Explain.

(b)
What is the scale factor? Explain.

Answers

The letters M,S,V are the original image.

The letters M’, S’, V’ are the displayed image.

You can see that M’, S’,V’ is a smaller image, so it was a reduction.

The length of line MS is 9 units.

The length of M’S’ is 6 units.

The dialation is 6/9 = 2/3

Answer:

(a) reduction

(b) 2/3

Step-by-step explanation:

(a) The original figure is called ΔMSV, while the dilation is called ΔM'S'V'. Because we can see that M'S'V' is clearly much smaller than MSV, we know that the image is a reduction of the original.

(b) We simply need to find the ratio of one side of M'S'V' to one side of MSV. Look at M'S': the length is just 4 - (-2) = 6 (this is because it's a completely horizontal line). The length of MS is 6 - (-3) = 9.

So, the scale factor is: 6 / 9 = 2/3.

Four less than 3 times a number is the same as the number plus 10 - in an equation

Answers

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

Please rate, thanks, mark brainliest if this helps!

Which value is equivalent to 15 − 4 × 2? A) 2 B) 7 C) 9 D) 23

Answers

Answer

D because i had it before

Answer:

B

Step-by-step explanation:

You need to do 4*2 which is 8. Then you need to subtract 15-8 to get 7.

Hope this helps.

I need help please!!!

Answers

Mane ion bout all that

you can choose more than 1

Answers

Answer:

A

Step-by-step explanation:

If you were to multiply the top by 7 then add you would cancel out the x and if you were to multiply the bottom by 6 then when you use the subtraction method you multiply the top by negative and if that were to happen you would do -6x + -6x which would cancel nothing out. But if you just add the two equations nothing would cancel out.

Hope this helped!

Answer:

A

Step-by-step explanation:

If you multiply the top by 7, when you add you can cancel out -7x and 7x. The second one doesn't work because it said subtract at the end. If you subtract then it won't cancel out the y's.

Math question down below

Answers

Answer:

answer is E

Step-by-step explanation:

Answer:

Another way to show [tex]\frac{9}{2}[/tex] is (E. 9 ÷ 2)

Step-by-step explanation:

A. 2 x [tex]\frac{1}{9}[/tex] =  [tex]\frac{2}{9}[/tex] (incorrect)

B. 2 x [tex]\frac{9}{2}[/tex] = [tex]\frac{18}{2}[/tex] = 9 (incorrect)

C. 2 ÷ 9 = 0.22 (incorrect)

D. 9 ÷ [tex]\frac{1}{2}[/tex] = 18 (incorrect)

E. 9 ÷ 2 = 4.5 (correct)

Help please uwuwuuwuwwuwuwuuwwuwuuwu

Answers

Answer:

For 23, the answer is 800
For 24, the answer is 3.06
(Sorry if I'm wrong!)

PLEASE HELP!!!

I don't understand....
If possible, please explain!

Answers

I strongly believe it’s SAS

Answer:

A. HL

Step-by-step explanation:

It cant be B because you cant do SSA

Its not C. Because there is only 1 angle

and it cant be D because the angles dont line up.

So is A. HL

What is the simplest form of this expression y2 (3y + 4) + 5y3

Answers

Answer:

y2 (3y + 4) + 5y3 :))

Step-by-step explanation:

please give me a good rating lol

Answer:

y2(3y+4)=5y3

Step-by-step explanation:

3(q+ 4/3)=2 solve for q

Answers

Answer:

-2/3

Step-by-step explanation:

multiply by 3

= 3q+4=2

subtract the 4

= 3q=-2

q= -2/3

Answer:

-2/3

Step-by-step explanation:

what is the distance between the pair of points.

(3, 3) and (3, −5)

Answers

Answer: 8

Step-by-step explanation:

So the right answer is 8units

Look at the attached picture

hope it will help you...

Good luck on your assignment

Find the measure of arc BGF

Answers

180°

Step-by-step explanation:

measure of half a circle arc is 180

From B to F is 180 degrees because BF is a diameter.  

Answer: 180 degrees

A line passes through the point (1,-3) and has a slope of -7. Find the equation of the line.

Answers

Answer:

y = -7x+4

Step-by-step explanation:

We can use the slope intercept form of the equation

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

We know the slope

y = -7x+b

We have a point to substitute in for x and y

-3 = -7(1) +b

-3 = -7+b

Add 7 to each side

-3+7 =b

4 =b

We can substitute this back into

y = -7x+b

y = -7x+4

Answer:

y+-7x+4

Step-by-step explanation:

y-y1=m(x-x1)

y+3=-7(x-1)

y+3=-7x+7

y=-7x+4

PLS HELP NEED TO PASS TEST <3!!!!
find the surface area of the cylinder to the nearest whole number. the figure is not drawn to scale.

905 in^2
1,282 in^2
2,187 in^2
7,691 in^2

Answers

Answer:

[tex]A=2\pi rh+2\pi r^2=2*\pi *12*17+2*\pi *12^2= 2187in^2[/tex]

Step-by-step explanation:

Answer:

2,187 in^2

Step-by-step explanation:

A=2πrh+2πr^2

=2·π·12·17+2·π·12^2

≈2186.54849

On a coordinate plane, triangle A B C has points (negative 3, negative 1), (negative 2, negative 3), (1, negative 1) and is reflected across y = 1. Reflect the figure over the line y = 1. Which is point A’ after the reflection? A’(–3, 1) A’(–3, 3) A’(–3, 2) A’(1, 1)

Answers

Answer:

A' = (-3, 3)

Step-by-step explanation:

If the points are as follows:

A = (-3, -1)

B = (-2, -3)

C = (1, -1)

When reflecting across a y axis the x values remain the same.

When reflecting across y = 1 the y values will remain equal distant from y = 1.

A' = (-3, 3) y value = |-1 - 1| = 2 + 1 = 3

B' = (-2, 5) y value = |-3 - 1| = 4 + 1 = 5

C' = (1, 3) y value = |-1 - 1| = 2 + 1 = 3

Answer:

A' = (-3, 3)

Step-by-step explanation:

Find the volume of a cylinder when the radius is 9 cm and the length is 20 cm

Answers

Answer:

5089.38 cm OR 1620π

Step-by-step explanation:

The formula for the volume of a cylinder is π[tex]r^{2}[/tex]h so if the radius is 9, 9 squared is 81. We multiply 81 by 20 and that gives us 1620. So in terms of pi, it is 1620π but if you just multiply it all together, it gives you 5089.38 cm. Please mark me brainliest and I hope this helped!

Based on the radius and the length of the cylinder, we can calculate that its volume is 5,091.43 cm³.

The volume of a cylinder can be calculated by the formula:

= π x radius² x height

Solving will give:

= π x 9² x 20

= π x 81 x 20

= 5,091.43 cm³

In conclusion, the volume is 5,091.43 cm³

Find out more at https://brainly.com/question/15460773.

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