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Alchen [17]
3 years ago
7

What is the value of x?​

Mathematics
1 answer:
exis [7]3 years ago
4 0

Step-by-step explanation:

x-4+3x+100=180

4x+96=180

4x=84

x=21

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Yes.??? dont really Know sorry
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Evaluate the limit as h goes to 0 of (3+h)^4 -81/h
Montano1993 [528]

Answer:6

Step-by-step explanation:Take the derivative of the numerator and denominator, then evaluate the limit.

8 0
2 years ago
Gotta go back to school today..
PIT_PIT [208]

Answer:

I  believe its 33.60 because if you add up 33.+5% that would give you 33.6 so its 33.60

Step-by-step explanation:

Hope its right

3 0
3 years ago
The function f(x) = 200 × (1.098)x represents a village's population while it is growing at the rate of 9.8% per year.
AlexFokin [52]

The time for the village to dig the new well is about 7 1/2 years. At this time the population doubles from its current size.

<h3>How to graph a function?</h3>

For a function f(x) = y, the steps to draw a graph for the given function are as follows:

  • Consider certain values of x
  • Substitute x values in the given function to obtain y values
  • Plot the x and y values in the graph
  • Join the points to know the variation.

<h3>Calculation:</h3>

It is given that,

f(x) = 200 × (1.098)^x

Village's population growing rate = 9.8%

Creating a table for x and f(x) values:

x: 0   2   4   6   8   10

f(x = 0) = f(0) = 200 × (1.098)^0 = 200

f(x = 2) = f(2) = 200 × (1.098)^2 = 241

f(x = 4) = f(4) = 200 × (1.098)^4 = 291

f(x = 6) = f(6) = 200 × (1.098)^6 = 350

f(x = 8) = f(8) = 200 × (1.098)^8 = 423

f(x = 10) = f(10) = 200 × (1.098)^1^0 = 509

So,

(x, f(x)): (0, 200)  (2, 241)  (4, 291)  (6, 350)  (8, 423)  (10, 509)

Plotting these points in the graph and joining the points, the graph is shown below.

Finding the time for the village to dig a new well:

It is given that the population doubled from its current size, the village will need to dig new water well.

The current size of the village = 200

If it doubles for a certain time 't' = 400

So,

400 = 200 × (1.098)^t

⇒ (1.098)^t = 2

⇒ log(1.098)^t = log 2

⇒ t log(1.098) = 0.301

⇒ t × 0.04 = 0.301

∴ t = 7.525 years

Therefore, the village's population becomes double at the time 7 and half years from now. So, after 7 1/2 years, the village needs to dig a new well.

Learn more about the function and its graph here:

brainly.com/question/4025726

#SPJ1

3 0
1 year ago
Colton left his house for work and was gone 5 hours. He spent a total of } hour driving to and from work and didn't go anywhere
Solnce55 [7]

Answer:

4\frac{3}{4}  hours

Step-by-step explanation:

he was gone for 5 \frac{1}{4} hours, he spent \frac{1}{2} an hour driving.

5 \frac{1}{4} - \frac{1}{2} = 4\frac{3}{4} hours at  work.

6 0
2 years ago
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