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2 years ago

Question 4 (5 points)

Mathematics

1 answer:

Rufina [12.5K]2 years ago

8 0

Answer:

this is to crowded can u send a pic

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A shirt costs $19.85. If a customer has a coupon that will save her $2.50 on the price of the shirt, how much will she pay for t

11111nata11111 [884]

19.85
- 2.50
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17.35

Answer: She'll pay $17.35 for the shirt.

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1 year ago

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The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At

kow [346]

Given:

$\dfrac{dr}{dt}=1.4\text{ in/s}$

$\dfrac{dh}{dt}=-2.1\text{ in/s}$

To find:

The rate of change in volume at $r=120\text{ in. and }175\text{ in.}$

Solution:

We know that, volume of a cone is

$V=\dfrac{1}{3}\pi r^2h$

Differentiate with respect to t.

$\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]$

Substitute the given values.

$\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]$

$\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560$

$\dfrac{dV}{dt}=29920$

Therefore, the volume of decreased by 29920 cubic inches per second.

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1 year ago

What is the domain and range of the equation y=500(1.08)^x

Marina CMI [18]

(x) is an element of a real number. This means it could be an integer, fraction or irrational number.

* As x approaches infinity, y approaches infinity.

* As x approaches minus infinity, y approaches 0.

-------------

Domain:

(x) is an element of a real number

Range:

y>0

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2 years ago

Correct 89.6162 to two decimal places

JulsSmile [24]

Answer:

89.62

Step-by-step explanation:

Look at the 3rd place of decimals - this is 6 so we add one to the second place.

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2 years ago

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If a cow has a mass of 9×102 kilograms, and a blue whale has a mass of 1.8×105 kilograms, which of these statements is true?