Your model locomotive is 18 inches long. It is an exact model of a locomotive that is 72 feet long. A window on the locomotive is how many times wider than a window on the model?

Answers

Answer 1
Answer: Your model locomotive (x) = 18 inches
72 feet (y)= 72*12 inches 
            = 864 inches

Ratio = x:y
          = 18:864
          = 18/864
          = 1/48
          = 1:48

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Simplify the following expression.

Answers

exponential laws

x^-m=1/(x^m)
and (x^m)(x^n)=x^(m+n)

so

(3^-4)(3^2)=
3^(-4+2)=
3^-2=
1/(3^2)=
1/9

the answer is A


What is the value of |5 - 2x |- 13 /8whenX = 3?
A. -12
B. -6
c. -4
D.4
E 4 2/3

Answers

Answer:

Use a calculator

Step-by-step explanation:

Solve the inequality 4y > 2(3y + 1) and explain your solution. *

Answers

4y \ \textgreater \ 2(3y + 1) \n \n 2y \ \textgreater \ 3y + 1 \n \n 2y - 3y \ \textgreater \ 1 \n \n -y \ \textgreater \ 1 \n \n y \ \textless \ -1 \n \n

The final result is: y < -1.

36/100 in simplest form

Answers

36/100 is 9/25 in simplest form

2) Amanda invests $6,540 in a retirementaccount with a fixed annual interest rate of
5% compounded 6 times per year. What will
the account balance be after 20 years?
A) $16,031.88 B) $17,704.05
C) $15,329.01 D) $16,844.10

Answers

Answer:

B) $17,704.05

Step-by-step explanation:

20 years later is a time in the future so you use Future value formula;

FV = PV* (1+r)^t

where PV= Amount invested in the present = $6,540

r= discount rate = (5% / 6) = 0.833% or 0.00833

t= total duration = 20 *6 = 120

Next, plug in the numbers into the formula;

=6,540* (1+0.00833)^120

=6,540 * 2.707041491

= 17,704.05

Which of the following equations matches the function shown above?

Answers

The equation which matches the function the function shown in the graph is; Choice A: y = 3sin(x - π).

First, the y-intercept of the function can be evaluated at point, x = 0.

At x= 0; we have;

  • y = 3sin(0 - π).

  • y = 3sin (-π)

  • y = -3 × 0

  • y = 0.

Similarly, when x= π;

  • y = 3 × 0

  • y = 0.

Ultimately, the required function is; Choice A; y = 3sin(x - π).

Read more on graph of functions;

brainly.com/question/9269626

Answer:

Option A

Step-by-step explanation:

You can simply check by using options

  • The function must be sine because the graph passes through origin

  • So, answer will be in A& B

  • InoptionB,theordinateisincreasedorshiftedby3units(+3).Itmustresulttheoriginmustbeshiftedby3units.So,optionbeisalsoremoved

  • InOptionA,Sinefunctionismultipliedby3.Weknowsinx:[-1,1],Sowhenitismultipliedthevaluesofthefunctionliesin[-3,3].Aslikethegraph

Hopeyouunderstand,ifyou'veanydoubtscommentbelow;))