solve 5^(3x-9)-10=-2
Give the exact solution and an approximate solution to three decimal places.
x = (blank) ≈ (blank)

Answers

Answer 1

Answer:

x = 3.431

Step-by-step explanation:

Given equation is,

[tex]5^{(3x-9)}-10=-2[/tex]

[tex]5^{3x-9}-10+10=-2+10[/tex]

[tex]5^{3x-9}=8[/tex]

By taking log on both the sides of the equation,

[tex]\text{log}(5^{3x-9})=\text{log}8[/tex]

(3x - 9)log5 = log8

3x - 9 = [tex]\frac{\text{log}8}{\text{log}5}[/tex]

3x - 9 = 1.292

3x = 9 + 1.292

x = [tex]\frac{10.29202}{3}[/tex]

x = 3.4306

x ≈ 3.431


Related Questions

Pushpin, a social networking site, sent out a survey to all female users. One of the questions in 2014 was, "Do you cook dinner every day?" More than 35,000 women responded, with 38% responding yes. What can you conclude from the survey?

Answers

Answer:

We can conclude that of the women who responded to the survey, most of them stated that they do not cook dinner every day. However, it is important to note that there is not much more to be concluded because there are a lot of factors that can go into this. For example, to push feminist perspectives, women may lie about them cooking or be more inclined to respond to the survey (voluntary response bias). Furthermore, women who cook may be less likely to be on the site

Answer:

Undercoverage occurred, so the results tell us little about the population of all adults.

Explanation:

This was targeted to social networking site females, this excludes the population of females who do not use social networking or are unable to. Hope this helps

Use the interactive tool to find the difference:

1- 3/10. Write the answer as a fraction.

Answers

Answer:

7/10

Step-by-step explanation:

right on edg

Answer:7/10

Step-by-step explanation: And I am telling the truth

60% of what number is 150?

Answers

Answer:

90

Step-by-step explanation:

To solve this you must make a proportion of x/150 60/100. Then you need to find the relation between 100 and 150 which is x 1.5. Then apply the same thing to 60 which results in 90.

Answer: 250

You must set this up as a proportion

Remember the percent is always over 100

150/x=60/100

Then solve the proportion

60x=15000

Get the x by its self

15000/60 is 250

x=250

the hawks have won 12 games this season, which is 60% of the season how many games did they play

Answers

Answer:

20 games

Step-by-step explanation:

quick pls lol??aosijdsu

Answers

Answer:

C

Step-by-step explanation:

i think i'm going between C and E but I think C

the correct answer is C

I NEED AN ANSWER QUICKLY The number of students enrolled at a college is 14 comma 000 and grows 6​% each year. Complete parts ​(a) through ​(e). The initial amount a is _?

Answers

Answer:

The initial amount is the starting amount, which would be 14,000.

Step-by-step explanation:

What is the sum of 5

Answers

Step-by-step explanation:

the sum of 5 and with a number is X+5 if that what you were trying to say

What is the slope ?!!

Answers

Answer:

The slope is 1/2

Step-by-step explanation:

18q = 14 - ( -58)
i need help​

Answers

Answer:

q =4

Step-by-step explanation:

18q = 14 - ( -58)

Combine like terms

18q = 14+58

18q = 72

Divide each side by 18

18q/18 = 72/18

q =4

Please help the question is in the picture

Answers

Answer: D: Parallel to the base

Step-by-step explanation:

Answer:

the answer should be D if i am wrong please tell me.

Step-by-step explanation:

solve for a side in right triangles

Answers

Answer:

AB = 4.73

Step-by-step explanation:

I’ll give brainliest

Answers

Answer:

[tex]y = 7x - 5[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} (2y + 10) = 7x \\ \frac{2y}{2} + \frac{10}{2} = 7x \\ y + 5 = 7x \\ y = 7x - 5[/tex]

An experiment is broken up into two parts. In the first part of the experiment, a six-sided die is rolled. In the second part of the experiment, a dime is tossed in the air. What is the probability of landing on tails?

Answers

Answer:

The answer is %50.

Step-by-step explanation:

Since the rolling of the six-sided die and the tossing of the dime are seperate events, their probabilities do not affect each other. Therefore the probability of the dime landing on tails should be %50.

I hope this answer helps.

Cheryl drove 4 hours at a constant rate to travel 160 miles. At what rate did she drive?A.20 mphB.35 mphC.40 mphD.72 mph
can someone pls help me

Answers

Answer:

40 mph

Step-by-step explanation:

She drove 160 miles for 4 hours

160/4 = 40

This means for each hour she drove 40 mph

Hope this helps :)

Answer:

C

Step-by-step explanation:

160 divided by 4 = 40

She drove for four hours at a speed of 40mph - 4x40=160

What is the value below when c=5 and d=4?

6c2 – 5d + 8

Answers

Answer:

48

Step-by-step explanation:

(6×5×2)-(5×4)+8

=60-20+8

=48

SHOW WORK FOR BRAINLIEST!
Two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 3 and 136 3, respectively. The height of N is 18 . Find the corresponding height of M.

Answers

Answer:

9 cm

Step-by-step explanation:

Volume of M= 17cm^3. Volume of N=136cm^3

Volume of N/Volume of M = k^3

136/17=8

Cube root of 8 =2

Now we know that k=2.

Height of N/2 =height of M

18/2= 9

Therefore, the height of M=9

Andrew has three gift boxes with different volumes. He wants to label them
Large, Medium, and Small based on their volumes. Write the appropriate label,
Large, Medium, or Small, under each of the boxes.
(not drawn to scale)
6 ft
331
147
41
334
3
12 ft

Answers

You do not have enough information. ex. What does "41" mean? Is it in feet? Inches? Angstroms? Please provide more information.

Answer:

pretty sure it's large, small, medium

Step-by-step explanation:

send help

Given 4 coordinate points A(2, 0), B(4, 0), C(5, -2), D(1, -2). If the image is rotated by 180° about the origin O, then D' =

(1, 2)

(-1, 2)

(-1, -2)
\\




edit: i just figured out the answer it's (-1,2). but i'm gonna keep the question here just in case someone else needs the answer

Answers

Answer:The answer is (-1,2)

The graph below represents which system of inequalities? (2 points)

graph of two infinite lines that intersect at a point. One line is dashed and goes through the points 0, 2, negative 2, 0 and i

y < −2x + 6
y ≤ x + 2
y ≤ −2x + 6
y < x + 2
y < 2 over 3 x − 2
y ≥ 2x + 2
None of the above

Answers

Answer:

Step-by-step explanation:

none of the above

can someone please help me out!! (the photo is provided)

Answers

Answer:

area- 150 , height-12 , base-25

Step-by-step explanation:

multiply the base times height then divide by 2

Answer: The height of the triangle is 12 cm. The base of the triangle is 25 cm. The area of the triangle.... formula: multiply base by height then divide by 2......

so, 25 times 12(height) then divide by 2

Therefore the area is 150 cm.

I hope this helps. I wanted to give it a try. :)

Help I need it! Will mark BRAINLIEST!

Answers

Answer one:  the first one

Answer two: the third one

 pls mark me the brainiIest

Miranda and Savannah are excited that a new store just opened in town! They go together the first day it opens!
Each time Miranda goes to the store she plans to spend \$7dollar sign, 7, and each time Savannah goes to the store she plans to spend \$9 dollar sign, 9.
A few weeks from now, Miranda and Savannah are surprised to find out that they have spent the exact same total amount of money at the store.
What is the least possible number of times that Miranda has been to the store?

Answers

Answer:

9

Step-by-step explanation:

Given that

Spending done by Miranda each time while go to the store = $7

Spending done by Savannah each time while go to the store = $9

For computing the least possible number we need to take the least common multiple of $7 and $9 i.e to be $63

Now the lease possible number for Miranda has been to the store is

[tex]= \frac{ Lease\ common\ multiple}{Spending\ done \ by\ miranda}[/tex]

[tex]= \frac{\$63}{\$7}[/tex]

= 9

Or we can do one thing as we know that 7 is a prime number which is not cut by any other number except one while the 9 factor could be [tex]= 3\times 3[/tex]

Therefore the 9 times would be considered

Plz help me!!

The data below represents the number of medals won by the top ten countries in the 2014

Winter Olympics. If the mean is 20.4 and the standard deviation is 7.9, circle all values that

fall within one standard deviation of the mean.

6, 11, 15, 17, 19, 24, 25, 26, 28, 33

Answers

Answer:

You should circle:

15, 17, 19, 24, 25, 26, 28

Step-by-step explanation:

The values x that falls within 1 standard deviation of the mean are those which.

[tex]|x - 20.4| \leq 7.9[/tex]

6

|6 - 20.4| = 14.4 > 7.9

6 is not within 1 standard deviation of the mean.

11

|11 - 20.4| = 9.4 > 7.9

11 is not within 1 standard deviation of the mean.

15

|15 - 20.4| = 5.4 < 7.9

15 is within 1 standard deviation of the mean.

17

|17 - 20.4| = 3.4 < 7.9

17 is within 1 standard deviation of the mean.

19

|19 - 20.4| = 1.4 < 7.9

19 is within 1 standard deviation of the mean.

24

|24 - 20.4| = 3.6 < 7.9

24 is within 1 standard deviation of the mean.

25

|25 - 20.4| = 4.6 < 7.9

25 is within 1 standard deviation of the mean.

26

|26 - 20.4| = 5.6 < 7.9

26 is within 1 standard deviation of the mean.

28

|28 - 20.4| = 7.6 < 7.9

28 is within 1 standard deviation of the mean.

33

|33 - 20.4| = 12.6 > 7.9

33 is not within 1 standard deviation of the mean.

Express the following ratio in simplest form $0.45 : $4.50

Answers

Answer:

1 : 10

Step-by-step explanation:

What is the base of a triangle with area 50 squared inches and height 3/4 inches to the nearest hundredth?

Answers

Answer:

66 2/3 inches

Step-by-step explanation:

The area formula needed here is A = (1/2)(base)(height).

Here A = 50 in^2 and (height) = 3/4 in.  We must find the length of the base.

Multiplying both sides of A = (1/2)(base)(height) by 2, we get 2A = (base)(height), or

                 2A                 50 in^2

(base) = --------------  =  ----------------- =  66 2/3 inches

               (height)            0.75 in

Jada is visiting New York City to see the Empire State building. She is 100 feet away when she spots it. To see the top, she has to look up at an angle of 86.1 degrees. How tall is the Empire State building?

Answers

The height of the Empire State building is 1466.85 ft

Important information:She is 100 feet away when she spots it. To see the top, she has to look up at an angle of 86.1 degrees.

calculation:

[tex]= (sin(86.10) \times 100 ) \div (sin(3.90))[/tex]

= 1466.85 ft.

where,

3.90 represent the angle of the top to Jada

Learn more about the building here: https://brainly.com/question/21436068

Click on all the values for n that make this inequality true

Answers

You didn’t insert any photo?

Can you please help me with this question please and i will give you a Brainiest

Answers

Answer:

Its the book. Hope it helps.

stapeler probably that would be my guess try it remember 1 kilo is two pounds

If the ratio of children to adults is 2:9 and there are 70 children at an arts festival, how many adults are in attendance?
Answer
How to enter your answer
adults

Answers

Answer:

315

Step-by-step explanation:

If 70 children is 2 parts, one part is 35

35*9 is 315

Answer:

315 adults

Step-by-step explanation:

2:9 where 2 is children and 9 is adults.

2 = 70, therefore 1 = 35

35 x 9 = 315

Select the correct answer.
If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
A.
-7 and -3
B.
-3 and 7
C.
3 and 7
D.
-7 and 3

Answers

Answer:

The correct option is (b).

Step-by-step explanation:

We are given with the factors of quadratic function. They are as follows :

(x − 7) and (x + 3)

It is required to find the zeroes of function g.

To find zeroes of function, it is required to put the factors equal to 0 i.e.

[tex](x-7)=0\\\\x=7[/tex]

and

[tex](x+3)=0\\\\x=-3[/tex]

From above calculations, we can say that the zeroes of function g are 7 and (-3). Hence, the correct option is (b).

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