The jack on an oil well goes up and down, pumping oil out of the ground. As it does
so, the distance varies sinusoidally with time. At time 1 sec, the distance is at its
maximum, 3.7 meters. At time = 4 sec, distance is at its minimum, 1.5 m. Create a graph to demonstrate this and a table of critical points.

Answer:

Every prism has as many faces, and edges, as its base has sides. Thus, a prism with an octagonal (eight sided) base has eight lateral faces, and eight lateral edges. Each lateral face meets two other lateral faces, as well as the two bases. As a consequence, each lateral face is a four sided polygon.

The number of sides of the base of a prism and the number of lateral faces is equal.

A prism is a three-dimensional object with two congruent and parallel faces, called the bases and it encloses the space between the bases. Every cross-section parallel to the base of a prism is congruent to its base.

In the question, we are asked to tell the relationship between the number of sides of the base of a prism and the number of lateral faces.

We let the number of sides of the base of the prism be s, and let the number of lateral faces of the prism be f.

We know that a prism has two parallel and congruent bases and every corresponding side of the base are connected by a pane. These planes are the lateral faces of the prisms. As each corresponding pair of sides is connected by one lateral face, the number of the lateral face is equal to the number of sides of the base.

∴ The number of sides of the base = The number of lateral faces of the prism

or, s = f.

∴ We can say that the number of sides of the base of a prism and the number of lateral faces are equal.

Learn more about prisms at

https://brainly.com/question/1297098

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Answer:

2) -3x+10

4) -4x+10+x

Step-by-step explanation:

Use the distributive property to get rid of the parentheses.

(2 × -2x) + (2 × 5) + x

-4x + 10 +x is correct, but the x's can be combined.

(-4x + x) + 10 = -3x + 10

Answer:

22

Step-by-step explanation:

Answer:

[tex]16 {x}^{2} - 9[/tex]

Step-by-step explanation:

Use the F.O.I.L. method

Answer:

1) [tex]81c^{2}[/tex]-1

2) [tex]16x^{2}[/tex]-9

3) [tex]-4y^{2}[/tex]+25

4) [tex]-w^{2}[/tex]+16

Step-by-step explanation:

Answer:900ft

Step-by-step explanation: v=l×w×h/3 =15×10×18/3=900

Answer:

slope -4

Step-by-step explanation:

m=y2-y1/x2-x1

m=-1-11/3-0

m=-12/3

m=-4

Answer:

Mr. Clark earns more money in year one than in year 5

Step-by-step explanation:

Answer: Standard, and 65,000 its easy as that

Step-by-step explanation:

Hope this helps

Answer:

1 9/10

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex](1/\sqrt{y} )^{-1/5} = \\(y^{-1/2})^{-1/5} = \\y^{(-1/5)(-1/2)} =\\y^{1/10} = \\\sqrt[10]{y}[/tex]

Correct choice is B

Answer:

I think D

if wrong correct me plssssssss

have a nice day

And good luck if you have exam

#Captainpower

Answer:

The area of rectangle is "31 units²".

Step-by-step explanation:

The given values are:

Length of rectangle,

= [tex]\frac{21}{7}[/tex]

Width of rectangle,

= [tex]\frac{31}{3}[/tex]

As we know,

The area of rectangle is:

=  [tex]Length\times width[/tex]

On substituting the values, we get

=  [tex]\frac{21}{7}\times \frac{31}{3}[/tex]

=  [tex]\frac{217}{7}[/tex]

=  [tex]31 \ units^2[/tex]

Answer:

3/5

Step-by-step explanation:

Answer:

66%

Step-by-step explanation:

0.6 repeating is 66%.

From decimal to percent:

To get a percent from a decimal number, move the decimal over twice to the right. In this case, 0.66 would become 66% because the decimal moved to the right twice.

From decimal to fraction to percent:

I already know that 2 divided by 3 is 0.6 repeating. 2 divided by 3 could also be written as [tex]\frac{2}{3}[/tex]. So the first step is complete, from the decimal 0.6 repeating to the fraction [tex]\frac{2}{3}[/tex]. Now from [tex]\frac{2}{3}[/tex] to a percent. If you get a 2 out of 3 ([tex]\frac{2}{3}[/tex]) you would get a 66%.

Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!

Answer:

9

Step-by-step explanation:

Answer:

C. opposite sides are parelell

Answer:

It's C bestie! opposite sides are parallel!

Answer:

42: 1, 2, 3, 6, 7, 14, 21, 42

43: 1, 43

Step-by-step explanation:

Answer:

20.8

Step-by-step explanation:

Plug in 2.4 as n in the expression, and simplify:

12n - 8

12(2.4) - 8

28.8 - 8

= 20.8

So, the answer is 20.8

Answer:

4

Step-by-step explanation:

Since its a 45-45-90 triangle then the 2 legs are going to be the same.

Answer:

90°

Step-by-step explanation:

Always remember that the sum of all angles is 180°.

So there are two 45° angles, so just add them up and you get 90

So if you subtract 90 from 180, you get 90, and that's your answer

Answer:

A = 1000(1 + .03 /4)4t

Explanation:

The money invested is the principal that is $ 1000.

The quarterly interest = 3/4 = 0.75 %

Assuming the number of years the money invested was x, then the interest period (n) will be 4 x (quarters)

Using the formula, A = P (1 + r/100)∧n

Therefore, the growth of the investment will be given by

1000( 1.0075)∧n, where n is the interest period.

Answer:

C.

Step-by-step explanation:

Answer:

The solution of this trigonometric identity is [tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex].

Step-by-step explanation:

Let [tex]7\cdot \tan \theta - 8 = 5\cdot \tan \theta -5[/tex], we proceed to simplify the expression and solve afterwards either by algebraic or by trigonometric means:

[tex]7\cdot \tan \theta -8 = 5\cdot \tan \theta -5[/tex]

[tex]2\cdot \tan \theta = 3[/tex]

[tex]\tan \theta = \frac{3}{2}[/tex]

[tex]\theta = \tan^{-1} \frac{3}{2}[/tex]

The tangent is a trigonometric function with a period of 180°. Hence, we find that the family of angles associated with such value is:

[tex]\theta = 56.310^{\circ} \pm 180\cdot i ^{\circ}[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

Answer: Just use a calculator.

Step-by-step explanation:

Answer:

27,632

Step-by-step explanation:

In the comments that is the answer to the next question but the answer for this question is 27632 in.^2

Answer:

Anne pays $6 to enter a carnival and $0.50 for every ride she goes on at the carnival. What is x, the number of rides Anne can go on if she has $26 to spend at the carnival?

Step-by-step explanation:

Answer:

it the second situation mate

Step-by-step explanation:

hope i helped you amd it is correct..

Answer:

Zach

Step-by-step explanation:

it's most likely Zach will be able to get the right answer

more easily then Adam since he can try to guess it more easily???

I'm not good at explaining but yeah -

Answer:

50 times

Step-by-step explanation:

Total number of faces = total possible outcomes = 8

Number of 2 or 3 on spinner = required outcome = 2

Probability of obtaining a 2 or 3 = required outcome / Total possible outcomes

P(2 or 3) = 2 / 8 = 1/ 4

From 200 ; prediction for the number of 2 or 3

1/4 * 200

= 50 times

Answer:

320 milligrams of sodium

Step-by-step explanation:

Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:

[tex]\frac{96}{6}[/tex] = [tex]\frac{x}{20}[/tex]

Cross multiply and solve for x

1920 = 6x

320 = x

So, a 20 ounce bottle will have 320 milligrams of sodium

Answer:

the root of -1 is -1

Step-by-step explanation:

When multiplied by itself, the root is typically a specified number of times gives a specified number or quantity. So -1 × -1 = -1

So there you go