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4 years ago

Did I do any of these wrong ? If so can I get the right answers ? & I need #7

Mathematics

1 answer:

aliya0001 [1]4 years ago

3 0

Work shown above! All are right except for 6. The answer to 6 is 150 in or 4 and 1/6yards. 7 is 4 bags. Also for 1-5 they need to be in units ^2 so like feet^2 and inches^2 because it is dealing with area.

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⦁ Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 24. How old is each sister?

Vitek1552 [10]

Answer:

Kim is 16 years old and her sister is 8 years old.

Step-by-step explanation:

We can use equations to represent this scenario.

Let Kim's age be 'k' and her sister's age be 's'.

Thus, k=2s (since Kim's age is double of her sister)

and k+s=24 (their ages add to 24 (from question)

Substituting the first equation:

2s+s=24

3s=24

s=8

Therefore, Kim's sister is 8 years old.

Now substitute this value into the second equation:

k+8=24

k=16

Therefore, Kim is 16 years old.

6 0

3 years ago

Find the flux of F = x^3 i + y^3 j + z^3k through the closed surface bounding the solid region x^2 + y^2 ≤ 4, 0 ≤ z ≤ 4

givi [52]

Use the divergence theorem. Let $R$ be the cylindrical region, then

$\displaystyle\iint_{\partial R}\mathbf F\cdot\mathbf n\,\mathrm dS=\iiint_R\nabla\cdot\mathbf F\,\mathrm dV$

(where $\mathbf n$ denotes the unit normal vector to $\partial R$ , but we don't need to worry about it now)

We have

$\mathrm{div }\mathbf F=(\nabla\cdot\mathbf F)(x,y,z)=\dfrac{\partial\mathbf F}{\partial x}+\dfrac{\partial\mathbf F}{\partial y}+\dfrac{\partial\mathbf F}{\partial z}$
$\nabla\cdot\mathbf F=3x^2+3y^2+3z^2$

For the solid $R$ with boundary $\partial R$ , we can set up the following volume integral in cylindrical coordinates for ease:

$\displaystyle3\iiint_R(x^2+y^2+z^2)\,\mathrm dV=3\int_{z=0}^{z=4}\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=2}(r^2+z^2)r\,\mathrm dr\,\mathrm d\theta\,\mathrm dz$
$=\displaystyle6\pi\int_{z=0}^{z=4}\int_{r=0}^{r=2}(r^3+rz^2)\,\mathrm dr\,\mathrm dz$
$=\displaystyle12\pi\int_{z=0}^{z=4}(2+z^2)\,\mathrm dz$
$=352\pi$

5 0

3 years ago

I need help ASAP!

Licemer1 [7]

Answer:

357÷12

Step-by-step explanation:

You need to figure out how many are in one so you would have to divide it by 12 to get your answer.

8 0

3 years ago

Simplify 7y exponent 2- y exponent 2=

GuDViN [60]

7y^2 - y^2 = 6y^2

hope it helps

3 0

3 years ago

Read 2 more answers

Renting a jet ski at Jerry's Water sports cost $20.00 per hour plus a one-time fee of $8.00. Renting jet skis from splash of fun

Korolek [52]

Answer:

1.6 hours

Step-by-step explanation:

The computation of the number of hours is shown below:

For water sports

= 20x + 8

And,For splash of fun

= 25x

Now the cost of both would be same

i.e.

20x + 8 = 25x

8 = 5x

x = 1.6 hours

4 0

3 years ago