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B is the midpoint of line segment AC. Find the measure of line segment AC. *25427084

iris [78.8K]

Answer:

84 units

Explanation:

If B is the midpoint of line AC, then B divides AC into two equal parts (AB and BC).

Therefore:

AB=BC

2x-8=x+17

2x-x=17+8

x=25

Therefore, the measure of the line segment AC

=2(2x-8)

=2(2(25)-8)

=2(50-8)

=2(42)

AC=84 units

8 0

1 year ago

Solve 5(2^x+4)=15 round to the nearest thousandth

Novosadov [1.4K]

Answer:

Step-by-step explanation:

Begin by dividing by 5

2x + 4 = 3

Is this written as 2^(x + 4) = 3? I think it is.

Take the log of both sides

log 2^(x + 4) = log(3)

(x + 4) * log(2) = log 3

log 2 = 0.30103

log 3 = 0.47712

(x + 4) = log2 / log3

x + 4 = 0.63093 Add 4 to both sides

x = -3.369 Rounded to the nearest thousandth

====================

If you mean the question exactly as it is written (the 4 is not part of the power)

5(2^x + 4) = 15

2^x + 4 = 3

2^x = 3 - 4

2^x = - 1

This can't be done 2 to any power should be >0.

if x>0 then this will give an ever increasing number

if xK0 then this will give an ever decreasing answer but still greater than 0.

No value will make 2^x go to something minus.

If I have misread this in some way, leave a note and I will get back to you.

5 0

3 years ago

Give the exponential function A(x)=P(1+r)x, what value for r will make the function a growth function?

wolverine [178]

for this to be a growth function it has to be any number that is latger than zero

FOR EXAMPLE :-

50% which equals to 0.5

4 0

3 years ago

The graph of an absolute value function y=a|x| includes the points (1,6) and (-1,6)

lys-0071 [83]

Answer: y=6|x|

Step-by-step explanation:

I attached the graph too!

4 0

3 years ago

Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of

julia-pushkina [17]

Answer:

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who caught the longer fish, relative to fish of the same species?

Whosoever fish's had the higher z-score.

Stewart caught a bluefish that was 283mm

The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm.

So we have to find Z when $X = 283, \mu = 264, \sigma = 57$