All categories

2 years ago

A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?

Mathematics

1 answer:

Sladkaya [172]2 years ago

3 0

Answer:

B- 5/1 boards/minutes

Step-by-step explanation:

<u>Unit rate is the number of circuit boards a minute:</u>

25 boards every 5 minutes >>
25/5 boards every 5/5 minutes >>
5/1 boards/minutes

Correct choice is B

You might be interested in

Please find mA and mB please.

Nikitich [7]

The ANSWERRRRRRR would be 32

7 0

3 years ago

Evaluate the following integral using trigonometric substitution

serg [7]

Answer:

The result of the integral is:

$\arcsin{(\frac{x}{3})} + C$

Step-by-step explanation:

We are given the following integral:

$\int \frac{dx}{\sqrt{9-x^2}}$

Trigonometric substitution:

We have the term in the following format: $a^2 - x^2$ , in which a = 3.

In this case, the substitution is given by:

$x = a\sin{\theta}$

$dx = a\cos{\theta}d\theta$

In this question:

$a = 3$

$x = 3\sin{\theta}$

$dx = 3\cos{\theta}d\theta$

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9-(3\sin{\theta})^2}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9 - 9\sin^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{\theta})}}$

We have the following trigonometric identity:

$\sin^{2}{\theta} + \cos^{2}{\theta} = 1$

$1 - \sin^{2}{\theta} = \cos^{2}{\theta}$

Replacing into the integral:

$\int \frac{3\cos{\theta}d\theta}{\sqrt{9(1 - \sin^{2}{\theta})}} = \int{\frac{3\cos{\theta}d\theta}{\sqrt{9\cos^{2}{\theta}}} = \int \frac{3\cos{\theta}d\theta}{3\cos{\theta}} = \int d\theta = \theta + C$

Coming back to x:

We have that:

$x = 3\sin{\theta}$

$\sin{\theta} = \frac{x}{3}$

Applying the arcsine(inverse sine) function to both sides, we get that:

$\theta = \arcsin{(\frac{x}{3})}$

The result of the integral is:

$\arcsin{(\frac{x}{3})} + C$

8 0

3 years ago

1 4/5 x 6 =???<br> please help

icang [17]

10 4/5 is the answer.

7 0

3 years ago

Read 2 more answers

A recipe for chicken soup calls for 4 cups of water fir 9 servings. How many servings can be made with 12 pints of water?

Vlad [161]

First lets convert the pints to cups.

1 pint = 2 cups
12 pints = ? cups

Now lets multiply to find out how many cups are in 12 pints.

12 × 2 = 24
24 cups in 12 pints.

Now lets look at the information we have.

4 cups of water per 9 servings

Now lets divide to see how many time 24 goes into 4.

24 ÷ 4 = 6

Now lets multiply:-

6 × 9 = 54

So, 54 servings of water fir in 12 pints of water.

Hope I helped ya!!!

7 0

3 years ago

Pls help !<br>Use a special right triangle to find the exact cosine of a 30° angle.

julia-pushkina [17]

Answer:

that should be 95 degree

4 0

3 years ago