n=7, x=4, p=0.45, find p4

Answer:

a) 24[tex]ft^2[/tex]

b) 52ft

Step-by-step explanation:

a)

This question asks to find the capacity of the container. This is essentially asking what the volume of the container is. This can be done by multiplying the length by the width by the height.

4 * 2 * 3

= 24

b)

This question is asking how much material was used to make the prism. This is essentially asking what the surface area of the prism is. This can be found by finding the area of all the sides of the prism and then adding it up. Since it is a rectangular prism, opposite faces are congruent, hence one only has to find the area of three faces, add it up, then multiply it by two to find the answer.

2 ( 4 * 2 ) + 2 ( 3 * 4 ) + 2 ( 2 * 3 )

= 2(8) + 2(12) + 2(6)

= 16 + 24 + 12

= 52

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.

cos θ = base / hypotenuse

Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.

Then the cosine of the angle ∠B will be given as,

cos θ = base / hypotenuse

cos B = 3 / 5

The cosine of angle ∠B will be 3 / 5. Then the correct option is C.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

(4x-5)(x+2)

Step-by-step explanation:

Step-by-step explanation:

3(x - 5) = 6

x - 5 = 2 (divide 3 on both sides)

x = 7 (add 5 on both sides)

The solution is x = 7.

3(x-5)=6

multiply 3 by x and -5

3x-15=6

add 15 on each side

it cancels out on the left nd on the right u get 21

so it would be

3x=21

divide by 3 on each side

X=7

Check:

3(7-5)=6

3(2)=6

6=6

Answer:

Circle, angle, and line segment.

Answer:

8

Step-by-step explanation:

Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?

To find our answer, we can solve the equation:

20x + 60 = 220

        -60    -60

20x = 160

/20    /20

x = 8

Jeremiah bought 8 toy sets!

I hope this helps :)

Answer:

yes ikow

Step-by-step explanation:

you can do that if you want to buy

Answer:

where the graph?

Step-by-step explanation:

Answer:

If you drew out this line segment with the points in the order we are given them, the segment would be labeled as a, b, c, d in that order. We are given a measure for ab, and we are also given a measure for bd with c being ignored for a minute. The entire length of the segment can be found by adding ab and bd. 6 + 23 = ad and ad = 29. So the length of the whole segment is 29. We have the length of cd given to be equal to ab, so cd = 6. ab + bc + cd = ad and we are looking for bc. Since we have the other lengths and the length of the whole segment, we fill in accordingly: 6 + bc + 6 = 29. Solving for bc we get bc = 17.

Step-by-step explanation: pls brain list

Answer:

750 cubic feet

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

5x + 2(x - 4) = 5x + x - 10

First, we need to to multiply out the parathesis in the equation:

5x + 2(x - 4) = 5x + x - 10

5x + 2x - 8 = 5x + x - 10

Next, we can combine "like terms" to simplify the equation further:

5x + 2x - 8 = 5x + x - 10

7x - 8 = 6x - 10

Now we can isolate the variable "x" to one side:

7x - 8 = 6x - 10

x - 8 = -10

x = -2

To check our work, we can replace x with -2 in our original equation:

5x + 2(x - 4) = 5x + x - 10

5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10

-10 + 2 (-6) = -10 -2 - 10

-22 = -22

I hope this helps!

-TheBusinessMan

Answer:

2

Step-by-step explanation:

( 282 - 14 ⋅ 3 ⋅ 6 ) / ( 6 ) - ( 21 - 18 )

= 30/( 6 ) - ( 21 - 18 )

= 30/( 6 ) - 3

[tex]=\frac{30}{6} -3[/tex]

= 2

Answer:

[tex]27[/tex]

Step-by-step explanation:

1) Simplify 14 × 3 to 42.

[tex]282 - 42 \times 6 - (21 - 18)[/tex]

2) Simplify 21 - 18 to 3.

[tex]282 - 42 \times 6 - 3[/tex]

3)Simplify 42 × 6 to 252.

[tex]282 - 252 - 3[/tex]

4) Simplify 282 - 252 to 30.

[tex]30 - 3[/tex]

5) Simplify.

[tex]27[/tex]

Therefor, the answer is 27.

Answer:

Net Mass = 520 g

Step-by-step explanation:

Given:

Waste = 240 g

Gross mass = 760 g

Find:

Net Mass

Computation:

Net Mass = Gross mass - Waste

Net Mass = 760 g - 240 g

Net Mass = 520 g

Answer:

Step-by-step explanation:

diameter = 10 in

radius = 5 in

area = π5² = 25π ≅ 78.5 in²

Answer:

Your answer will be (2,4) :)

Answer:

6j(5k+3)

Step-by-step explanation:

18j+30jk

Factor out 6.

6(3j+5jk)

Consider 3j+5jk. Factor out j.

j(3+5k)

Rewrite the complete factored expression.

6j(5k+3)

Answer:

Step-by-step explanation:

Using first equation in the second gives you

x-3(-2x+1)=11

x+6x-3=11

7x-3=11

7x=14

x=2, making y=-2x+1 become

y=-2(2)+1

y=-4+1

y=-3 so the solution is the point

(2,-3)

Answer:

B. Add 8 to both sides

Step-by-step explanation:

So you can have 0 at the other end and factor it properly.

Answer:

subtract 13 from both sides

Step-by-step explanation:

subtract 13 so that you will have all of the x's on one side and all of the constant numbers on the other side of the equal sign.

Answer:

the first one or A. hope this helps.

Step-by-step explanation:

Answer:

Surface area = 70π cm²

Step-by-step explanation:

Surface area = πr² + πrl

Surface area = (π × 5 × 5) + (π × 5 × 9)

Surface area = (25π) + (45π)

Surface area = 70π cm²

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The product:

[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]

[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]

[tex]A * B = 1 * \frac{1}{3}[/tex]

[tex]A * B = \frac{1}{3}[/tex]

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

[tex]A = \frac{1}{2}[/tex]

[tex]B = \frac{2}{3}[/tex]

The quotient:

[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]

Express as product

[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]

[tex]A / B = \frac{1*3}{2*2}[/tex]

[tex]A / B = \frac{3}{4}[/tex]

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

[tex]x = \frac{1}{2}[/tex]

[tex]y = \frac{2}{3}[/tex]

The sum:

[tex]x + y = \frac{1}{2} + \frac{2}{3}[/tex]

Take LCM

[tex]x + y = \frac{3+4}{6}[/tex]

[tex]x + y = \frac{7}{6}[/tex]

Proved, because 7/6 is rational

The above proof works for all values of A, B, x and y; as long as they are rational values

Answer:

Step-by-step explanation:

a₁ = -3 = (-1)¹×3

a₂ = 6 = (-1)²×2×3

a₃ = -28 = (-1)³×2²×7

a₄ = 72 = (-1)⁴×2³×3²

a₅ = -360 = (-1)⁵×2³×3²×5

a₆ = 2160 = (-1)⁶×2⁴×3³×5

That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.

Answer:

First and last

Step-by-step explanation:

(4x - 7) (x + 3)

FOIL

4x^2 + 5x - 21

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Answer:

This statement is false because there are waves and currents which changes because of the moon

Step-by-step explanation:

Answer:

A, C, E

Step-by-step explanation:

hope this helps!

Answer:

I think it is A, C, E

Step-by-step explanation: