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2 years ago

What is the value of x if 5^x+2=5^9?

Mathematics

1 answer:

Mkey [24]2 years ago

7 0

In this equation, x = 7.

In order to solve this you are going to need to use logarithmic functions. By taking a logarithm you can eliminate exponents.

$5^{x + 2} = 5^{9}$

First we're going to take the logarithm of both sides, which allows us to put the exponents in front of the terms.

(x + 2)Log5 = 9Log5

Now that we've done this, we can divide both sides by Log5 and eliminate that term.

x + 2 = 9

From here, we simply need to subtract in order to solve.

x = 7

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Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples

zheka24 [161]

Answer: a. 0.40 b. 0.23 c . 0.435 d . 0.25

Step-by-step explanation:

melanin content Total

high low

moisture high 13 10 23

content low 47 30 77

Total 60 40 100

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)= $\dfrac{40}{100}=0.40$

b) Total skin samples has high moisture content = 13+10=23

P(B) = $\dfrac{23}{100}=0.23$

c) A ∩ B = Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) = $\dfrac{10}{100}=0.10$

Using conditional probability formula , $P (A|B)=\dfrac{P(A\cap B)}{P(B)}$

$P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435$

d) $P (B|A)=\dfrac{P(A\cap B)}{P(A)}$

$P (B|A)=\dfrac{0.10}{0.40}=0.25$

8 0

3 years ago

Based on the diagram, which expresses all possible

qaws [65]

The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

<h3>Properties of a triangle</h3>

From the question, we are to determine the expression that expresses all possible lengths of segment AB

From one of the properties of a triangle,

The third side of any triangle is greater than the difference of the other two sides; and the third side of any triangle is lesser than the sum of the two other sides

Then, we can write that

AB < 27 + 54

and

AB > 54 - 27

Putting the two inequalities together, we get

54 - 27 < AB < 27 + 54

27 < AB < 81

Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81

Learn more on the Properties of a triangle here: brainly.com/question/1851668

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3 0

1 year ago

you go to the movies with 5 friends. you and one of your friends each buy a bag of popcorn. the rest of your friends buy just on

vfiekz [6]

The x represents the ticket prices and the y represents the popcorn price. If we distribute the expression, we get 4x +2x + 2y. This shows us that all 6 people bought a ticket, and two bought popcorn. Now plug in the given values and solve.

6*7.25 + 2*3.25 = $50

6 0

3 years ago

Lisa wants to build a table and put a border around it. The table and border must have an area of 3,996 square inches. The table

Vinvika [58]

Answer:

The answer is 2,484.

Step-by-step explanation:

First you would have to multiply 42 times 36 then subtract 1,512 from 3,996 you will get 2,484

3 0

2 years ago

10. What is the value of the function f(x) = 7x when x = 0.75 ?

melomori [17]

Answer:

7(0.75) = 5.25

f = 7

Step-by-step explanation:

7 0

2 years ago