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ss7ja [257]
3 years ago
8

PLEASE HELP ME I AM DOING A TEST!!!

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

1/8 cm^3

Step-by-step explanation:

If s=1/2 and V=s^3, then V=1/2^3=8. Therefore the volume of the cube is 1/8cm^3.

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Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = x
kykrilka [37]

\vec F has divergence

\nabla\cdot\vec F=\dfrac{\partial(xye^z)}{\partial x}+\dfrac{\partial(xy^2z^3)}{\partial y}-\dfrac{\partial(ye^z)}{\partial z}=ye^z+2xyz^3-ye^z=2xyz^3

By the divergence theorem, the integral of \vec F across S is equal to the integral of \nabla\cdot\vec F over the interior of S:

\displaystyle\iiint_S\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^6\int_0^32xyz^3\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{\frac{81}2}

8 0
3 years ago
A student council sold 856 copies of a school yearbook, four fifths of the students at the school bought a copy , how many stude
kumpel [21]

Answer:

I am guessing about 150 - 200 students did not buy a yearbook.

Step-by-step explanation:

First let's assume that there are 1,000 or so students in the school. 856 would be a little over 4/5 of 1,000 just as 8 would be 4/5 of 10.

8 0
3 years ago
Simplify 12st over 4t
soldier1979 [14.2K]
\huge{\frac{12st}{4t}=\frac{12s}{4}=\boxed{3s}
7 0
3 years ago
PART 1. HERE ARE THE NUMBERS I CAME UP WITH I JUST NEED THE REST DONE!!!
jarptica [38.1K]

Answer:

Part 2

The rate of change is 1 in increase in forearm length per 1 inch increase in foot length

Part 3

1) Foot length = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The data  presented here has a greater rate of change

5) Different data sources

6) Yes

7) Yes

Step-by-step explanation:

Part 2

The data are as follows

Forearm             Foot

9.25                    8.5

10.25                   9.5

9.75                     9

10.75                    10

8.75                       8

To find the rate of change, we have;

For points

(x₁, y₁) = (9.25, 8.5) and (x₂, y₂) = (8.75, 8) we have;

Rate of change = (y₂ - y₁)/(x₂ - x₁) substituting the values we arrive at

(8.75 - 9.25)/(8 - 8.5) = 1

The rate of increase of foot to forearm is 1 to 1. That is there is an increase of 1 in in forearm length for every inch increase in foot length

The rate of change is 1 in increase in forearm length per 1 inch increse in foot length

Part 3

1) For a person with length of forearm, x = 17 inches long, we have;

Length of foot, y = 0.860·x + 3.302

Plugging in the values, we have;

y = 0.860×17 + 3.302 = 17.922 in.

2) The rate of change of the equation y = 0.860·x + 3.302 in part A is 0.860

3) No the data does not correspond with part A

4) The rate of change from part A = 0.860, Therefore, the data  presented here has a greater rate of change

5) The values are different because of they are derived from a non corresponding sources

6) Yes the relation is a function because the length of the foot is a function of the length of the forearm

From the equation of a straight line, we have;

y = mx + c

Where:

m = Slope = 1

Therefore; for forearm, y = 9.25, we have

9.25 = 1×8.5 + c

∴ c = 9.5 - 8.5 = 1

The equation of the function becomes;

y = x + 1

7) for the equation in part A given by

y = 0.860·x + 3.302

Yes the equation in part A can represent a function because it maps each value of x to a unique value of y

4 0
3 years ago
One tank is filling at a rate of 4/5 gallon per 1/2 minute. A second tank is filling at a rate of 7/8 gallon per 1/2 minute. Whi
telo118 [61]

Answer:

The second tank.

Step-by-step explanation:

Since both filling up at the same rate, all you would have to do is multiply the gallons.

4/5 multiplying top and bottom by 8 is 32/40

7/8 multiplying top and bottom by 5 is 35/40

8 0
3 years ago
Read 2 more answers
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