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3 years ago

PLEASE HURRY!!!!

2 answers:

7 0

Part A: The rate of change is 100/1 or 100 and the initial value was 350.
Part B: Slop-Intercept form y= 100x +350
Money = y
Year = x

Brums [2.3K]3 years ago

4 0

A. the rate of change is 100 because it went up 100 each year. I know this because I subtracted 350 from 750 and got 400 and divided it by the number of remaining year.

B. x+350=750 
Hope this helps!!

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Harman [31]

Answer:b=16

Step-by-step explanation:trust me bro

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3 years ago

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250 is equal to the ratio ____ to 100

Ksivusya [100]

Answer:

Step-by-step explanation:

if you look at it, 250 is 1/4 of 1000 and 100 is 1/10 of 1000 so divide 250 by 10 and you get your answer.

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2 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

1 year ago

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Bella has a bag of grapes that weighs 1 3/4 pounds. She wants to divide the grapes into equal shares that each weigh 5/16 pounds

UNO [17]

Answer:

your is 5

Step-by-step explanation:

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2 years ago

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Price-club sells a 12-ounce box of crackers for $2.59 and Shop Mart sells 1-pound box of crackers for $4.68. The unit price at P

Vesna [10]

Answer:

The unit price at Price-Club is $0.2158 per ounce.

The unit price at Shop Mart is $0.2925 per ounce.

Step-by-step explanation:

Price Club:

12-ounce box of crackers for $2.59

12 ounces - $2.59

1 ounce - x

$12x = 2.59$

$x = \frac{2.59}{12}$

$x = 0.2158$

The unit price at Price-Club is $0.2158 per ounce.

Shop Mart:

1-pound box of crackers for $4.68.

1 pound is 16 ounces. So

16 ounces - $4.68

1 ounce - x

$16x = 4.68$

$x = \frac{4.68}{16}$

$x = 0.2925$

The unit price at Shop Mart is $0.2925 per ounce.

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3 years ago