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kramer
3 years ago
7

How do I find the length of GJ?

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
6(X+6)= 12(5)
6x+36=60
6x=24
X=4
Now put 4 in X of GJ
GJ=10
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A boat travels 36 miles in 1.5 hours ans then in 14 miles in 0.75 hour. what is the average speed?
allochka39001 [22]

The average speed can be obtained by the formula:

V_{\text{average}}=\dfrac{\text{total distance}}{\text{total time}}.

If a boat travels 36 miles in 1.5 hours ans then in 14 miles in 0.75 hour, then find:

  • total distance is 36+14=50 miles;
  • total time: 1.5+0.75=2.25 hours.

Therefore,

V_{\text{average}}=\dfrac{50}{2.25}=\dfrac{5000}{225}=\dfrac{200}{9}=22.(2) miles per hour.

Answer: V_{\text{average}}=\dfrac{200}{9}=22.(2) miles per hour.

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The graph shows the amount of a medicine min milligrams, remaining in a patient's body hours after receiving an injection . The
aksik [14]

An exponential function is a function defined by y = ab^x, where a represents the initial value, and b represents the rate

<h3>(a) The factor at which the medicine decreased, in 1.5 hour</h3>

From the graph, we have the following ordered pairs

(x,y) = (0,270) and (1.5,80)

Given that:

y = ab^x

At point (0,270), we have:

ab^0=270

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At point (1.5,80), we have:

ab^{1.5} = 80

Substitute 270 for a

270b^{1.5} = 80

Divide both sides by 270

b^{1.5} = 0.2963

Take 1.5th root of both sides

b =0.44

Hence, the medicine decrease in the hour and half at a factor of 0.44

<h3>(b) The factor at which the medicine decreased in the first half hour, and the first hour</h3>

In (a), we have:

The decay factor (b) to be 0.44

This represents the factor at which the medicine decreased throughout.

Hence, the medicine decrease in the first half hour, and the first hour at a factor of 0.44

<h3>(c) The exponential equation</h3>

In (a), we have:

a= 270

b = 0.44

So, the exponential equation is:

y =270 * 0.44^x

In terms of m and h, we have:

m =270 * 0.44^h

Hence, the equation relating m to h is m =270 * 0.44^h

Read more about exponential equations at:

brainly.com/question/11832081

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CHANGE - division to multiplication

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