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2 years ago

9

Jackie is opening up her pool for the summer. The pool can hold a capacity of 72 quarts of water. How many gallons can the batht

ub hold?

1 answer:

Korvikt [17]2 years ago

6 0

Answer:

18

Step-by-step explanation:

72 quarts= 18 gallons presuming the bathtub and pool are the same otherwise qustion unclear

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The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8

Irina-Kira [14]

Answer: 0.95994

Step-by-step explanation:

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3 years ago

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Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your

BaLLatris [955]

$f(x,y)=\dfrac{y^3}x$

a. The gradient is

$\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath$

$\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}$

b. The gradient at point P(1, 2) is

$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

$D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}$

It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

$\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2$

Then

$D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}$

$\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}$

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3 years ago

A lawn sprinkler sprays water 5 ft in every direction as it rotates. What is the area of the sprinkled lawn?

Karolina [17]

Answer:

78.57

Step-by-step explanation:

Radius is 5 feet

Area of circle is pi*r Squared

22/7*5*5

78.57 square feet

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2 years ago

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ASAP GIVING GOOD AMOUNT OF POINTS. I cannot fail my class or I will be sent to school again

svlad2 [7]

Answer

- 3/2

Step-by-step explanation:

Hope this helps:) if you need anynore help lmk!

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2 years ago

What is the area of the square below ?

ivolga24 [154]

To find the are of a square, we simply square the value of a side
so..
${5}^{2} = area$
Area = 25 square units

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3 years ago