MATHEMATICS COLLEGE

Mr. Ross is painting a wall that has an area of 142.5 square feet. He uses 3/4 gallon of paint to paint 1/5 of the wall. How many gallons of paint will he need to paint the entire wall?

Answers

Answer 1

Answer:

Answer: He will need $3\frac34$ gallons of paint to paint the entire wall.

Step-by-step explanation:

Given : Area to paint = 142.5 square feet

Paint used to paint $\frac15$ of the wall = $\frac34$ gallon

Paint used to paint complete 1 wall = $5*\frac34$ gallons

Paint used to paint complete 1 wall $=(15)/(4)=3(3)/(4)$ gallons

Hence, he will need $3\frac34$ gallons of paint to paint the entire wall.

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(4m+3)9+6m +10nSimplifeid

What makes the graph curve upwards or downwards?a nothing
b. M
d.
k
Please select the best answer from the choices provided

Answers

Answer:

is is A nothing

Step-by-step explanation:

A. Nothing makes the graph curve upwards or downwards

What is the value of (4-1/4) ÷ (2-1/2)?

Answers

Answer:

2.5

Step-by-step explanation:

The value of (4-1/4) divided by (2-1/2) is 2.5

You welcome, don't forget to give me the points...

Let C be the unit circle in the xy-plane, oriented counterclockwise as seen from above. The divergence of the vector field F~ = (z, x, y) is zero, and as a result the flux through every surface with boundary C should be the same. Confirm that this is the case with the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane

Answers

Upper half of the unit sphere (call it $S_1$ ): parameterize by

$\vec s(u,v)=(\cos u\sin v,\sin u\sin v,\cos v)$

with $0\le u\le2\pi$ and $0\le v\le\frac\pi2$ . Take the normal vector to be

$(\partial\vec s)/(\partial v)*(\partial\vec s)/(\partial u)=(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)$

Then the flux of $\vec F$ over this surface is

$\displaystyle\iint_(S_1)\vec F\cdot\mathrm d\vec S=\int_0^(\pi/2)\int_0^(2\pi)(\cos v,\cos u\sin v,\sin u\sin v)\cdot(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^(\pi/2)\int_0^(2\pi)\cos u\sin^2v\cos v+\cos u\sin u\sin^3v+\sin u\cos v\sin^2v=\boxed{0}$

Lower half of the sphere (call it $S_2$ ): all the details remain the same as above, but with $\frac\pi2\le v\le\pi$ . The flux is again $\boxed{0}$ .

Unit disk (call it $D$ ): parameterize the disk by

$\vec s(u,v)=(u\cos v,u\sin v,0)$

with $0\le u\le1$ and $0\le v\le2\pi$ . Take the normal vector to be

$(\partial\vec s)/(\partial u)*(\partial\vec s)/(\partial v)=(0,0,u)$

Then the flux across $D$ is

$\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^(2\pi)\int_0^1(0,u\cos v,u\sin v)\cdot(0,0,u)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^(2\pi)\int_0^1u^2\sin v\,\mathrm du\,\mathrm dv=\boxed{0}$

Final answer:

The flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same and it is zero.

Explanation:

The divergence of the vector field F~ = (z, x, y) is zero. Therefore, the flux through every surface with boundary C, such as the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane, should be the same.

This can be confirmed by considering that the electric flux through a closed surface is zero if there are no sources of electric field inside the enclosed volume. Since there are no charges inside the surfaces mentioned, the flux through each surface is zero.

Therefore, the flux through the upper half of the unit sphere, the lower half of the unit sphere, and the unit disk in the xy-plane is the same, and it is zero.

Learn more about Electric Flux here:

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Helppp whats number 1 A B and C?!

Answers

A=-4/3
B=1/5
C=-5/4
Hope that helps.

Answer:

A=-4/3

B=1/5

C=-5/4

Step-by-step explanation:

An island has a popularity of 1500 and is growing at a rate of 3% per year. what will the popularity be after 6 years?Ans:1791

Answers

Step-by-step explanation:

Growth in population each year = 3%(1500)

= 3/100 × 1500

= 3 × 15

= 45

Therefore, the growth in population in 6 years

= 6 × 3%(1500)

= 6 × 45

= 270

Hence, the population after 6 years = 1500 + 270

= 1770

Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint. Which of these mixtures produce the same shade of green paint as Diego’s mixture?Select all that apply.

Group of answer choices

For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint.

Mix tablespoons of blue paint and yellow paint in the ratio 1:5.

Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.

Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.

Answers

The correct answer choices are For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint, Mix tablespoons of blue paint and yellow paint in the ratio 1:5 and Mix tablespoons of yellow paint and blue paint in the ratio 15 to 3.

What is ratio ?

Ratio represents how much one quantity is present relative to the other quantity and written in simplest form.

According to the given question Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint.

∴ For every 5 tablespoon of blue paint we have to mix 1 table spoon of yellow paint.

5 table spoon of blue paint = 1 table spoon of yellow paint.

This can also be written in ratio form as blue paint:yellow paint = 1:5.

learn more about ratio here :

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Answer: Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint.

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