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3 years ago

11

Your model train has one engine and eight train cars. Find the total number of ways you can arrange the train. ( the engine must

be first)

1 answer:

Ulleksa [173]3 years ago

4 0

The engine can go in the back following all the other train cars

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How do you convert a percent to a fraction ?

solong [7]

As we know a percentage is out of a hundred so we would start of by dividing by 100, if the percent is not a whole number then multiply both the bottom and top number by 10 for every number after the decimal point

7 0

3 years ago

Find f. f ''(θ) = sin(θ) + cos(θ), f(0) = 2, f '(0) = 1 f(θ) =

Lunna [17]

Answer:

$f(theta)=sin(theta) - cos(theta)$ + C

This is my first time doing a double integral, so im only 90% sure in my answer

Step-by-step explanation:

You pretty much want to take the double integral of sinx + cosx

The anti-derivative of sinx = -cosx

The anti-derivative of cosx = sinx

So f' = -cosx + sinx

Now lets take the integral of f':

The anti-derivative of -cosx = sinx

The anti-derivative of sinx = -cosx

So, f(x) = sinx - cosx

8 0

3 years ago

Read 2 more answers

A rectangular safe can hold 7,296 cubic inches. Gold bars that are 4 inches by 8 inches by 2 inches fit to completely fill

Eddi Din [679]

Answer:

your answer is 114

I hope it's helps you

7 0

3 years ago

You invested $23,000 in two accounts paying 6% and 7% annual interest, respectively. If the total interest earned for the year w

Sedbober [7]

Answer:

$ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

Step-by-step explanation:

Given that I invested $ 23,000 in two accounts paying 6% and 7% annual interest, respectively, and the total interest earned for the year was $ 1,560, to determine how much was invested at each rate, the following calculation must be performed:

23,000 x 0.07 + 0 x 0.06 = 1,610

22,000 x 0.07 x 1,000 x 0.06 = 1,600

21,000 x 0.07 x 2,000 x 0.06 = 1,590

20,000 x 0.07 x 3,000 x 0.06 = 1,580

19,000 x 0.07 x 4,000 x 0.06 = 1,570

18,000 x 0.07 x 5,000 x 0.06 = 1,560

Thus, $ 18,000 was invested at 7%, and $ 5,000 was invested at 6%.

3 0

3 years ago

Oliver is performing an experiment by spinning a metal weight around on the end of a nylon thread. How far does the metal weight

skad [1K]

Answer:

27.7m

Step-by-step explanation:

Step 1

We find the Circumference of the nylon thread.

The formula = 2πr

The diameter of the thread = 0.88m

Radius = Diameter/2

= 0.88m/2

= 0.44m

Circumference = 2 × π × 0.44m

= 2.7646015352m

Approximately = 2.765m

Step 2

We calculate the distance

Number of revolutions = 10

Therefore, the Distance or how far the metal weight can travel =

Circumference of the wheel × Number of revolutions

= 2.765m × 10

= 27.65m

Approximately to 1 decimal place = 27.7m

8 0

3 years ago