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3 years ago

Find the value of x. 110° X + 116

Mathematics

1 answer:

LenKa [72]3 years ago

7 0

Xterm correct answer is =11

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In 2013, the moose population in a park was measured to be 5,100. By 2018, the population was measured again to be 5,200. If the

natka813 [3]

Answer:

$P(t) = 5100e^{0.0039t}$

Step-by-step explanation:

The exponential model for the population in t years after 2013 is given by:

$P(t) = P(0)e^{rt}$

In which P(0) is the population in 2013 and r is the growth rate.

In 2013, the moose population in a park was measured to be 5,100

This means that $P(0) = 5100$

$P(t) = 5100e^{rt}$

By 2018, the population was measured again to be 5,200.

2018 is 2018-2013 = 5 years after 2013.

So this means that $P(5) = 5200$ .

We use this to find r.

$P(t) = 5100e^{rt}$

$5200 = 5100e^{5r}$

$e^{5r} = \frac{52}{51}$

$\ln{e^{5r}} = \ln{\frac{52}{51}}$

$5r = \ln{\frac{52}{51}}$

$r = \frac{\ln{\frac{52}{51}}}{5}$

$r = 0.0039$

So the equation for the moose population is:

$P(t) = 5100e^{0.0039t}$

5 0

3 years ago

Your weekly salary is $150. you also earn $20 commission for each cell phone that you sell. write an expression to represent the

Vlad1618 [11]

150 + 20x, where x is the number of cellphones sold

6 0

4 years ago

<img src="https://tex.z-dn.net/?f=3%5E%7B3%7D%20%2B%206%282%20%2B%20%5Cfrac%7B3%7D%7B6%7D%20%29" id="TexFormula1" title="3^{3} +

Drupady [299]

Answer:

Step-by-step explanation:

9+6(2+3/6)

9+6(2+1/2)

2+1/2 = 2.5

9+6(2.5)

9+15

8 0

3 years ago

For every 3 presents lisa wrapped, helen wrapped 5. if they wrapped a total of 184 how many did each wrap. ( how did you get the

igor_vitrenko [27]

3 : 5.....thats ur ratio...added = 8...so basically, Lisa wrapped 3 out of 8 (or 3/8) and Helen wrapped 5 out of 8 (or 5/8)

3/8(184) = 552/8 = 69 : Lisa wrapped 69
5/8(184) = 920/8 = 115 : Helen wrapped 115

6 0

3 years ago

Manchu has drawn a

timama [110]

Answer:

Height of each triangle: 14cm

Area of each triangle: 168cm²

Step-by-step explanation:

So we know that the base of the area is 24. Lets find the height.

336 ÷ 24 = 14

If he makes two triangles out of the rectangle that just means he cuts it in half.

To find the area of one triangle lets do:

336 ÷ 2 = 168

Let's double check our answer:

(14 × 24) ÷ 2 = 168

Seems great!

6 0

3 years ago