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Shtirlitz [24]
3 years ago
10

Solve the following equation. log Subscript 2 Baseline (3 x plus 7 )equals 5 The solution set is StartSet nothing EndSet . ​(Sim

plify your​ answer.)
Mathematics
1 answer:
tigry1 [53]3 years ago
3 0

Answer: x=\dfrac{25}{3}

Step-by-step explanation:

The given equation : \log_2(3x+7)=5

Using logarithmic property : \log_a N=M\to N=a^M

The given equation will be equivalent to (3x+7)=2^5

\Rightarrow\ 3x+7=32

Subtract 7 from both sides , we get

3x=25

Divide both sides by 3 , we get

x=\dfrac{25}{3}

Hence, the solution is x=\dfrac{25}{3}

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21% of deaths among male adults can be attributed to heart diseases. Is this percentage different among residents in Sonoma Coun
qwelly [4]

Answer:

Step-by-step explanation:

The null hypothesis is usually the default statement while the alternative hypothesis is its opposite and usually tested against the null hypothesis.

In this case study, the null hypothesis is u = 21%/0.21, the percentage is not different among residents in Sonoma County and is equal to 0.21.

While the alternative hypothesis is u =/ 0.21, the percentage is different among residents in Sonoma County; not equal to 0.21

4 0
3 years ago
If SV⊥RT, m∠RSU = (17x – 3)°, and m∠UST = (6x – 1)°, find TSV
goblinko [34]

Applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

<h3>How to Apply the Linear Pair Theorem?</h3>

Given the following angles in the image above:

Measure angle RSU = (17x - 3)°,

Measure angle UST = (6x – 1)°

To find the measure of angle TSV, we need to find the value of x in the given expressions as shown below:

m∠RSU + m∠UST = 180 degrees (linear pair]

Substitute the values

17x - 3 + 6x - 1 = 180

Solve for x

23x - 4 = 180

23x = 180 + 4

23x = 184

x = 8

m∠TSV = 180 - 2(m∠UST) [Linear Pair Theorem]

m∠TSV = 180 - 2(6x - 1)

Plug in the value of x

m∠TSV = 180 - 2(6(8) - 1)

m∠TSV = 86°

Therefore, applying the linear pair theorem, the measure of angle TSV in the image given is: 86°.

Learn more about the linear pair theorem on:

brainly.com/question/5598970

#SPJ1

6 0
1 year ago
If triangle ocd ≅ triangle JAL, then which of the following statements are true?
Roman55 [17]

Answer:

I III and IV

Step-by-step explanation:

8 0
3 years ago
I need help with problem 11
lisov135 [29]
I really don’t know gang but be strong you can do it
3 0
2 years ago
Read 2 more answers
Sharon is twice as old as Brian, and in 5 years the sum of their ages will be 25 years. Find their present ages.
Vinil7 [7]
Sharon's age= 2x
Brian's age= x

(2x-5)+(x-5)= 25
3x-10=25
3x=15
x=5
Brian is 5 years old and Sharon is 10

3 0
4 years ago
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