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Nataly [62]
3 years ago
5

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

So

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:

24

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

24

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
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