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3 years ago

6

The school water fountain can only fill 3/4 of a jug at a time. With this amount of water, Mr. Kern can water 3/8 of his plants.

How much water will it take him to water all of his plants?

1 answer:

Vesnalui [34]3 years ago

5 0

Answer:

$\frac{3}{4} = \frac{3}{3} \\ \frac{3}{8} = x \\ x = \frac{3}{8} \times \frac{4}{3} \\ x = \frac{1}{2}$

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Plz help me do this

MrRissso [65]

Answer:

(i) 16 (ii) 29 (iii) 76 (iv) 23

Step-by-step explanation:

i just plugged everything into the equations.

3 0

3 years ago

Integrate G(x,y,z)equalsz over the parabolic cylinder yequalszsquared, 0less than or equalsxless than or equals2, 0less than

yKpoI14uk [10]

I gather you're supposed to compute the integral of $G(x,y,z)=z$ over a surface $S$ that is the part of the parabolic cylinder $y=z^2$ with $0\le x\le2$ and $0\le z\le\frac{\sqrt{15}}2$ .

We can parameterize $S$ by

$\vec s(x,z)=x\,\vec\imath+z^2\,\vec\jmath+z\,\vec k$

with the given constraints on $x$ and $z$ . Take the normal vector to $S$ to be

$\vec s_x\times\vec s_z=-\vec\jmath+2z\,\vec k$

so that the surface element is

$\mathrm dS=\|\vec s_x\times\vec s_z\|\,\mathrm dx\,\mathrm dz=\sqrt{1+4z^2}\,\mathrm dx\,\mathrm dz$

Then in the integral, we have

$\displaystyle\iint_Sz\,\mathrm dS=\int_0^2\int_0^{\sqrt{15}/2}z\sqrt{1+4z^2}\,\mathrm dz\,\mathrm dx=\boxed{\frac{21}2}$

5 0

3 years ago

The hiski s family spends $600 per month on groceries for the family. If this is 15% of their monthly budget , then what is thei

ad-work [718]

I think that it is $4,000

8 0

4 years ago

A vending machine operator has determined that the number of candy bars sold per week by a certain machine is a random variable

docker41 [41]

Answer:

The answer is below

Step-by-step explanation:

Let Y represent the profit per day, and x represent the number of bar sold per day. Hence:

Y = 0.25x - 2

a) The mean is given as:

$\mu_y=E(Y)=E(0.25X-2) = 0.25E(X)-2\\\\But\ E(X)=mean\ of\ machine=125. Hence:\\\\E(Y)=0.25(125)-2=29.25\\\\E(Y)=\$29.25$

b) The standard deviation of y is:

$\sigma_y=var(0.25X-2)\\\\\sigma_y=0.25\sigma(X)\\\\but\ \sigma_X=7,hence:\\\\\sigma_y=0.25(7)=1.75\\\\\sigma_y=\$1.75$

6 0

3 years ago

A box in the shape of a rectangular prism has a length of x inches, a width of 0.5x inches and a height of 2x inches. The volume

telo118 [61]

Answer:

The answer should be 44.72 inches.

Step-by-step explanation:

In order to find the height when given the volume, use the formula V=Ah

The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2

Now, 1,000= .5x^2(h).

Take the volume and divide it by .5. This gives you 2,000.

Now the equation is 2,000=x^2 (h)

Take the square root of 2,000 and this gives you the answer of 44.72 inches.

6 0

3 years ago