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gavmur [86]
3 years ago
6

There are apples in a basket. Of these apples are green. The rest of them are red. (a) What is the ratio of green apples to red

apples? (b) What is the ratio of red apples to all apples in the basket?
Mathematics
2 answers:
Vedmedyk [2.9K]3 years ago
8 0

Answer:

Step-by-step explanation:

11-3=8 red apples.

A. 8 to 11

B. 8 to 3

Colt1911 [192]3 years ago
5 0

11-3=8  red apples.  

A. 8 to 11  B. 8 to 3

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Jupiter has a diameter $86,881 mi. What is the circumference of the planet?<br> C=___in<br> C=___mi
Sophie [7]

Answer:

10) 87.96 in

15) 272,944.7 in

7 0
1 year ago
Find the mass of the lamina that occupies the region D = {(x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 1} with the density function ρ(x, y) = xye
Alona [7]

Answer:

The mass of the lamina is 1

Step-by-step explanation:

Let \rho(x,y) be a continuous density function of a lamina in the plane region D,then the mass of the lamina is given by:

m=\int\limits \int\limits_D \rho(x,y) \, dA.

From the question, the given density function is \rho (x,y)=xye^{x+y}.

Again, the lamina occupies a rectangular region: D={(x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}.

The mass of the lamina can be found by evaluating the double integral:

I=\int\limits^1_0\int\limits^1_0xye^{x+y}dydx.

Since D is a rectangular region, we can apply Fubini's Theorem to get:

I=\int\limits^1_0(\int\limits^1_0xye^{x+y}dy)dx.

Let the inner integral be: I_0=\int\limits^1_0xye^{x+y}dy, then

I=\int\limits^1_0(I_0)dx.

The inner integral is evaluated using integration by parts.

Let u=xy, the partial derivative of u wrt y is

\implies du=xdy

and

dv=\int\limits e^{x+y} dy, integrating wrt y, we obtain

v=\int\limits e^{x+y}

Recall the integration by parts formula:\int\limits udv=uv- \int\limits vdu

This implies that:

\int\limits xye^{x+y}dy=xye^{x+y}-\int\limits e^{x+y}\cdot xdy

\int\limits xye^{x+y}dy=xye^{x+y}-xe^{x+y}

I_0=\int\limits^1_0 xye^{x+y}dy

We substitute the limits of integration and evaluate to get:

I_0=xe^x

This implies that:

I=\int\limits^1_0(xe^x)dx.

Or

I=\int\limits^1_0xe^xdx.

We again apply integration by parts formula to get:

\int\limits xe^xdx=e^x(x-1).

I=\int\limits^1_0xe^xdx=e^1(1-1)-e^0(0-1).

I=\int\limits^1_0xe^xdx=0-1(0-1).

I=\int\limits^1_0xe^xdx=0-1(-1)=1.

No unit is given, therefore the mass of the lamina is 1.

3 0
3 years ago
What is the width of a rectangle with length 14cm and area 161 cm^2
Inessa05 [86]

Answer:

Step-by-step explanation:

The area of a rectangle can be found with the formula A = l*w, where l is the length of the rectangle and w is the width.

From the given problem statement, we know that l = 14 and A = 161, so we can fill in those values in the formula anbd solve for w to get the width:

A = l*w

161 = 14w

Divide both sides by 14 to isolate w by itself:

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3 0
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Answer:

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Then (3/4)*x = 84

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3 0
3 years ago
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Which ordered pairs make the inequality true?
tresset_1 [31]
Its the 2nd one becuase 2(-1)+2=0 witch is greater than -4.
3 0
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