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katrin [286]
2 years ago
8

What is the value of x? enter your answer in the box. x =

Mathematics
2 answers:
SVEN [57.7K]2 years ago
5 0
The answer is x=54. You would set up your answer as 2x + 2= 3x -52. Then move 2x over to line up with 3x. 3x-2x= x. Next you would add 52 with 2 to get 54 as your answer! Hope this helped :)
MaRussiya [10]2 years ago
3 0

Answer:

<u>x = 54</u>

Step-by-step explanation:

These are vertically opposite angles, meaning their angle measures are equal.

2x + 2 = 3x - 52

<u>x = 54</u>

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I WILL MARK BRAINLIEST
vagabundo [1.1K]

Answer:

\frac{81}{m^7}

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

(3m^{-4} )^3(3m^5)

Remove the parenthesis around 3m^5 :

(3m^{-4} )^3*3m^5

Do the exponent rule for outside and inside exponent parenthesis :

(3m^{-4*3} )

3^3m^{-12} *3m^5

Apply addition exponent rule :

m^{-12} *3^{3+1} m^5

Add :

m^{-12} *3^4m^5

Apply the addition rule for -12 + 5 :

3^{4} m^{-7}

Apply negative exponent rule for m^-7 :

3^4*\frac{1}{m^7}

Multiply the fractions :

\frac{1*3^4}{m^7}

\frac{81}{m^7}

3 0
3 years ago
You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length.
s344n2d4d5 [400]

Step-by-step explanation:

So, x=width and the width=13+L. The formula for perimeter is 2(L)+2(W) and the total perimeter in this question is 62 feet. That means 2(L)+2(13+L)=62 feet. Solve for L and that's going to be your length. Add the length plus 13 and you'll have the width. Double check the equation by plugging the width and length back into the equation. (Does that help?)

6 0
2 years ago
decide which type of graph will best represent that the majority of students like pepperoni pizza? Bar graph or pie chart?​
ycow [4]

Answer: Im pretty sure its a bar graph.

Step-by-step explanation:

8 0
4 years ago
If the mean of the data below is 3.8, find m<br>x 1 2 3 4 5 6<br>f 1 4 7 m 6 3​
zloy xaker [14]

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3​

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8

So, the value of m is equal to 1.8.

8 0
3 years ago
Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the
sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let y(t) be the depth of water in the barrel at time t,  where y is measured in inches and t in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

                                                 \frac{dy}{dt}=-k\sqrt{y}

where k is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by \frac{1}{\sqrt{y}}

\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k

Multiply by dt

\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt

Take integral

\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt

Integrate

2\sqrt{y}=-kt+C

Isolate y

y(t)=(\frac{C}{2} -\frac{k}{2}t)^2

We know that the water level starts at 36, this means y(0)=36. We use this information to find the value of C.

36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12

y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2

At t = 1, y = 34

34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}

So our formula for the depth of water in the barrel is

y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\

To find the time, t, at which all the water leaks out of the barrel, we solve the equation

\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0
4 years ago
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