The graph below shows a linear representation of a jogger’s heartbeat in beats per minute, as his speed is increased (in feet per second). What is the slope of the line?

Answer:

W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27

Step-by-step explanation:

Vertical cross-section of bowl is a semi-circle of radius 1, centered at (0,0)

x² + y² = 1 (for y ≤ 0)

Bottom of bowl is at y = −1

Top of bowl is at y = 0

When punch is 4 inches deep, this 1/3 ft above bottom of bowl:

y = −1+1/3 = −2/3

So we integrate from y = −2/3 to y = 0

Radius of cross section at height of y is = x = √(1−y²)

Area of cross section at height y is πr²= πx² = π(1−y²)

Since each person is to lift ladle 2 feet above the top of the bowl, then distance = 2−y

W = Σ (density of punch * distance * volume of punch)

W = ∫ [−2/3 to 0] 66 * (2−y) * πr² dy

W = ∫ [−2/3 to 0] 66π (2−y)(1−y²) dy = 2332π/27

Answer:

126

Step-by-step explanation:

The number of different 4-toppings pizzas can be made with given toppings is 70.

There are 8 different toppings of pizza are given.

Combinations are selections made by taking some or all of a number of objects, irrespective of their arrangements. The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.

Here, n=8 and r=4

Now, 8C4

= [tex]\frac{8!}{4!(8-4)!} =\frac{8\times7\times6\times5\times4!}{(4\times3\times2\times1)4!}[/tex]

= (8×7×6×5)/(4×3×2×1)

= 7×2×5

= 70

Therefore, the number of different 4-toppings pizzas can be made with given toppings is 70.

To learn more about the permutation and combination visit:

https://brainly.com/question/28065038.

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Answer:

16 minutes

Step-by-step explanation:

80% of 20 is

80/100 * 20 = 16

Answer:

Your Picture is just of -3????

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

this is what popped up in my calculator so i hope this helps you. :)

Answer:

= -1/2

Step-by-step explanation:

F=1/4(-2)

F=-1/4(2)

F=-1(2)/4

F=-2/4

F= -1/2

Answer:

A = 200.96 sq ft

Step-by-step explanation:

formula for area of a circle:  A = π·r²

A = (3.14)·(8²)

A = 64·(3.14)

A = 200.96

Answer:

B

Step-by-step explanation:

25/10=2.5

Answer:

2.5

Step-by-step explanation:

Answer:

improper fraction- 15/4

Mixed number-  3  3/4

Decimal- 3.75

Step-by-step explanation:

use K.C.F (Keep Change Flip)

Answer:

Answer: 52.4 percent

Step-by-step explanation: So you'd want to subtract 7.80 from 16.40 to get 8.60. Then you'd multiply that by 100 which would give you 860. After you've done that you want to divide 860 by 16.40.

Answer:

200 t-shirts and 50 shorts

Step-by-step explanation:

t= t-shirts

s = shorts

600 = 2t + 4s

t = 4s

600 = 2(4s) + 4s

600 = 8s + 4s    ––––> 600 = 12s

s = 50

t = 4(50) –––––> t = 200

check:

600 = 2(200) + 4(50)

600 = 400 + 200

600 = 600

Answer:

(-5, 4)

Step-by-step explanation:

Recall that in a reflection across the x-axis the x coordinate stays the same, while the y coordinate flips its sign.

Therefore

(-5, -4)  converts under reflection into (-5, 4)

9514 1404 393

Answer:

  9.  a = 3, b = 3, y-intercept = 3

  10.  a = 5, b = 0.6, y-intercept = 5

Step-by-step explanation:

The picture is fuzzy, but we think the given equations are ...

  [tex]\text{9. }f(x)=3(3)^x\\ \text{10. }f(x)=5(0.6)^x[/tex]

You are comparing these to the form ...

  [tex]f(x) = a(b)^x[/tex]

so the values of 'a' and 'b' should be readily identifiable. The y-intercept in each case is y = a.

The end behavior depends on whether b > 1 or not. Growth functions (b>1) go to 0 on the left and ∞ on the right. Decay functions (b<1) are the reverse.

__

9. a = 3, b = 3, y-intercept = 3

The end behaviors are (x, f(x)) ⇒ (-∞, 0), (∞, ∞).

__

10. a = 5, b = 0.6, y-intercept = 5

The end behaviors are (x, f(x)) ⇒ (-∞, ∞), (∞, 0).

Answer:

64 is 128% of 50

Step-by-step explanation:

The answer is 50!

I used a calculator.

1. 0.5.

2. 50

3. 81.92

4. 2

Answer:

1 2/3

Step-by-step explanation:

convert to improper fraction:

13/3 - 8/3

then solve:

13/3 - 8/3 = 5/3

convert back to a mixed number (unless your not supposed to, if that is the case then "5/3" is your answer):

"1 2/3" is "5/3" as a mixed number.

so your answer (as a mixed number) is:

"1 2/3"

Answer:

9.6%

Step-by-step explanation:

Perimeter is adding all 4 sides together:

8 + 8 + 9x + 9x

Simplify by coming like terms to get:

18x + 16

The answer is d. 18x + 16

Answer:

448 oz.

Step-by-step explanation:

28x16 = 448

Answer:

448 ounces

Step-by-step explanation:

1 pound = 16 ounces

16x28=448

Answer:

D

Step-by-step explanation:

The sum of angles of an hexagon is [tex]4\cdot 180[/tex]°.

Answer:

One book would cost $13.

Step-by-step explanation:

To solve this all you have to do is divide 65 by 5. Since 65 divided by 5 is 13, 13 is your answer. So one book would cost $13.

I hope this helps you.

Answer:

[tex]2673[/tex]

Step-by-step explanation:

In order to find the answer to this question you must find the rule and then keep applying that rule in till you get to the 6th term of the sequence.

[tex]11,33,99,297[/tex]

[tex]R=\times3[/tex]

[tex]297\times3=891[/tex]

[tex]891\times3=2673[/tex]

[tex]=2673[/tex]

Hope this helps.

Step-by-step explanation: {KILLA KWEEN} DAISAN NO BAKUDAN--/|BITES ZA DUSTO|\

Answer:

z = -2

Step-by-step explanation:

-7z -2 = 12

-7z = 14 (add 2 on both sides)

z = -2 (divide -7 on boths sides)

z = -2

-7z = 12 + 2

-7z = 14

z = -14/7

z = -2

Answer:

(a) [tex]Unit = \frac{1}{4}/8[/tex]

Step-by-step explanation:

Given

[tex]Time = \frac{1}{4}[/tex]

[tex]Lap = 8[/tex]

Required

Determine the time in each lap

The unit time in each lap is calculated by dividing the total time by the number of laps; i.e.;

[tex]Unit = \frac{Time}{Lap}[/tex]

Substitute values for Time and Lap

[tex]Unit = \frac{1}{4}/8[/tex]