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Damm [24]
2 years ago
9

If In(y - 40) = 5x, then y =

Mathematics
2 answers:
sasho [114]2 years ago
5 0

If \ln(y-40)=5x then y=e^{5x}+40.

Hope this helps.

Sophie [7]2 years ago
5 0

Answer:

a  e^(5x)  +40

Step-by-step explanation:

In(y - 40) = 5x

Raise each side to base e

e^In(y - 40) = e^5x

y - 40 = e^5x

Add 40 to each side

y - 40 +40 = e^5x+40

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Find the volume of this sphere.
Sholpan [36]
<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

  • π = 3
  • r = 2 ft²

To find the volume we apply the following formula:

  • \boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2}  }}, where
  • v = volume
  • π  = pi
  • r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3}  }}

Calculate exponent cubed

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3}  }}

Multiplying

  • \boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}

Therefore, the volume of the sphere is 32 ft³.

8 0
2 years ago
Read 2 more answers
Two equiangular decagons are congruent.<br> Sometimes/Always/Never
OLga [1]

Answer:

Two equiangular decagons are sometimes congruent.

4 0
3 years ago
Ann studied the effects of watching television on time spent exercising
34kurt

The response variable in the study that Ann has done here can be said to be Time spent exercising.

<h3>What is a response variable?</h3>

This is the name that is used to refer to the dependent variable. This is the variable that is of interest in the study. The goal is to see the changes that occurs in the particular variable based on the actions that another variable would have such as the independent variable.

From this we can see that The response variable in the study that Ann has done here can be said to be Time spent exercising.

Read more on response variable here:

brainly.com/question/22046153

#SPJ1

8 0
1 year ago
What is the length of EF in the triangle? Show your work. HELP!
Zinaida [17]

The length of EF in the given triangle is 8.80 m.

Step-by-step explanation:

Step 1:

In the given triangle, the opposite side's length is 16.2 m, the adjacent side's length is x m while the triangle's hypotenuse measures 16.2 m units.

The angle given is 90°, this makes the triangle a right-angled triangle.

So first we calculate the angle of E and use that to find x.

Step 2:

As we have the values of the length of the opposite side and the hypotenuse, we can calculate the sine of the angle to determine the value of the angle of E.

sinE = \frac{oppositeside}{hypotenuse}  =\frac{13.6}{16.2} = 0.8395.

E = sin^{-1} (0.8395), E = 57.087.

So the angle E of the triangle DEF is 57.087°.

Step 3:

As we have the values of the angle and the hypotenuse, we can calculate the cos of the angle to determine x.

cos E = \frac{adjacentside}{hypotenuse} = \frac{x}{16.2} .

cos(57.087) = 0.5433, x = 16.2 (0.5433) = 8.8014.

Rounding this off to the nearest hundredth, we get x = 8.80 m.

8 0
3 years ago
I dont know<br> How to solve this at all
AlladinOne [14]
So since this is a linear equation, which is y=mx+b, you use what it tells you in the word problem. so mx is the rate, since in this equation 200 per ton of sugar that's your mx, so its 200x. then for your b value, which in this case is the cost of truck rental, so its 5,400.

your equation is C=200s+5400


the variables are the same so you can use Y and X, but I used the variables used in the word problem.

Y=200x+5400
7 0
3 years ago
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