Solve the system by substitution.
y = 8x
y = 4x + 8

Answer:

0.90 seconds

Step-by-step explanation:

We will see that one complete revolution takes (2π/7) seconds.

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

If you want to learn more about sine functions, you can read:

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Answer: I gave the evaluate answer and the differentiate w.r.t x answer. Sorry for caps.

Step-by-step explanation: EVALUATE  x4n−3

 DIFFERENTIATE W.R.T. X  (4n−3)x4(n−1)

Answer:

5 in by 8 in

Step-by-step explanation:

Given that :

Area, A of rectangle = 40 in²

Let

height = x

Base = 2x - 2

Area of rectangle = L * B

40 = x * (2x - 2)

40 = 2x² - 2x

2x² - 2x - 40 = 0

x² - x - 20 = 0

x² - 5x + 4x - 20 =0

x(x - 5) +4(x - 5) = 0

x - 5 = 0 or

x + 4 = 0

x = 5 or x = - 4

X cannot be negative

X = 5

Height = 5

Base = 2*5 - 2 = 8

Answer:

4

Explanation:

sum of interior angle= 180°

10x= 180- (80+60)

10x= 180- 140

10x= 40

x=40/10

x= 4

PLEASE MARK ME AS BRAINLIEST!!!!

[tex]\pink{\bigstar}[/tex] Value of x is [tex]\large\leadsto\boxed{\tt\purple{4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

✯ The sum of all the interior angles of triangle sum upto 180°.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Using the above knowledge we say that the angles of the given traingle should sum upto 180°.

Therefore,

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 80^{\circ} + 60^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 140^{\circ} + 10x^{\circ} = 180^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 180^{\circ} - 140^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf 10x^{\circ} = 40^{\circ}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \dfrac{40^{\circ}}{10^{\circ}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ [tex]\sf x = \cancel{\dfrac{40^{\circ}}{10^{\circ}}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

★ [tex]\large{\bold\red{x = 4}}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the value of x is 4.

Answer:

$27.5

Step-by-step explanation:

P =$500, R = 11 pcpa, T = 6 months = 1/2 years

[tex]I = \frac{PRT}{100} = \frac{500 \times 11 \times \frac{1}{2} }{100} \\ \\ = 5 \times 11 \times \frac{1}{2} \\ \\ = 55 \times \frac{1}{2} \\ \\ I= \$ 27.5[/tex]

Answer:

65%,0.7,2/3,5/8

Step-by-step explanation:

Answer:

5/8, 65%, 2/3, 0.7

Step-by-step explanation:

5/8 = .625

65% = .65

2/3= .667

.7 = .7

Answer:

154

Step-by-step explanation:

Since its a circle, it will be 360 degrees, so then do 190+26=206, then do 360-206=154

Answer:

First we have to found all the clothes that the manufacturer produces in 8 hours,

As given    120 clothes = produce in 1 hour

                  X clothes  = produce in 8 hour

By cross multiplication, we get

X= 120*8

X= 960  total clothes produced in 8 hours

As also given that in each hour 5 clothes damaged ,so we can write as

 5 clothes = damaged in 1 hour

Y clothes = Damaged in 8 hour

By cross multiplication we get

Y=  40 clothes damaged in 8 hour

So the total clothes that manufacturer produce with out damage clothe will be ,

Total normal clothes = X-Y   = 960 - 40  = 920 clothes

Answer:

oh dang i hated doing these when i was in sixth grade lol umm  55?????

Step-by-step explanation:

Answer:B) 20 hours

Step-by-step explanation:

15000 per one hour and if we multiply them all we get 300,000 smartphones if we do 15,000 multiplyed by 20. Hope it helps!

Answer:

20 h

Step-by-step explanation:

just do 15 x 20 then add the remaining zeros

Answer:

the clerk will make $8.65 an hour

Step-by-step explanation:

Answer:

P is the dependent variable, H is the independent variable

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

x+y=5

3x-y=-5

Add the equations together will get you:

4x=0

Divide the 0 by 4 to get the x alone will get you

x=0

Answer:

There's one solution

(0,5)

Step-by-step explanation:

There's one solution

We can tell this is true because of the 3x in the second on and just hte x in the first. If you look closely you'll see the coefficents for the x values is the only difference between the two.

Let's now solve

We need to get a positive variable by itself

let's take x+y=5 and solve for y

x-5= -y

y= -x+5

We can then plug this y value into the other equation

3x-(-x+5)= -5

3x+x-5= -5

4x= 0

x=0

Let's then plug this value in for x into any of the beginning equations

0+y=5

y=5

Answer:

Men: 5 : 3 = 20 : 12

Women: 7 : 4 = 21 : 12

So for every 12 children there are 20 men to 21 women.

Neither men nor women compose more than half of the concert population

There are 200 men staying at the resort. Then the number of children in the resort will be 292.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

In a holiday resort, the ratio of men to women is 5:6 and the ratio of women to children is 4:7.

There are 200 men staying at the resort.

Then the number of women in the resort will be

Women / 200 = 5 / 6

Women = 500 / 3

Then the number of children in the resort will be

(500/3)  / children = 4/7

                children = 291.67

                children ≈ 292

More about the ratio and the proportion link is given below.

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Answer:

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

Answer:

I dont know but maybe later

Answer:

x = -6 and y = 1

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

To answer this question, you should first remember that the inside angles of a triangle will always add up to 180 degrees. Therefore, we can make an equation and solve it form there:

55 + 54 + (x + 74) = 180

We add like terms:

109 + (x + 74) = 180

Continue adding like terms:

183 + x = 180

Next, we dubtract to siolate the "x" variable:

x = -3

Hope this helps :)

x=-3

Step-by-step explanation:

To start off, you're going to want to know and understand that all the angles of triangle equal 180 degrees.

Now that we know a triangle equals 180 degrees, lets make an equation. This is equation can be 55+54+74+x=180.

Now, lets combine the like terms in the equation. The equation now becomes 183+x=180.

From here, we subtract 180 from both sides, which would get us x=-3.

To double check that this is correct and that it works, you can plug in the -3 where the x would be.

I hope this helped!! Let me know if you have any further questions.

Answer:

Slope = 4

Step-by-step explanation:

The slop of the line is going to be rise over run.

So take where it the y value is 20 as [tex]y_1[/tex], and where it hits about 32 as value [tex]y_2[/tex].

You have you x value when y1 as 5 and x value at yw as 8.

So what you will do here is

[tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]

[tex]\frac{32-20}{8-5}[/tex]

[tex]\frac{12}{3} = 4[/tex]

So your slope is 4.

Answer:

105

Step-by-step explanation:

Answer:

$105 for each member per concert

Step-by-step explanation:

700 - 175 = 525

525 divided by 5 = 105

Answer:

closest to 1

Step-by-step explanation:

The given fraction is converted into decimal to find the closest value as 1.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given fraction is 17/21.

It can be written in decimal as below,

⇒ 17/21 = 0.809

Now, the given decimal can be compared with 0, 1/2 and 1 as follows,

0.89 > 0, 1/2 and 0.89 < 1

Which implies that it is closest to 1.

Hence, the given fraction 17/21 is closest to the integer 1.

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Answer: 22+62÷22

22+2.8181

24.8181

So 22+62÷22 is about 24.8181

hope this helps have a nice day❤️❤️❤️

Step-by-step explanation:

Answer:

22.73

Step-by-step explanation:

22+62=84

84/22=22.7380952381

Answer:

3 2/3 is greater

Step-by-step explanation:

3 2/3 is 3.6666 while √11 is 3.32

Answer:

3.2906, The 9

hope this helps :)

Answer:

-2

Step-by-step explanation:

Just use 6-8 and you will get - 2

Check again with - 2+8 you will get positive 6