18. Find the value of x to
make the following equation
true.
(3^2)^3 x 3^x = 3^7 x 3^3/ 3^11

Answers

Answer 1

Step-by-step explanation:

(3²)³ × 3^x = 3⁷ × 3³/3¹¹

3⁶ × 3^x = 3¹⁰/3¹¹

3⁶ × 3^x = 3^-1

3^x = 3^-1 / 3⁶

3^x = 3^-1 × 3^-6

3^x = 3^-7

x = -7

Answer 2
Hope I did this right: x=-7!

Related Questions



Please help. I need it because I don’t remember much about the lesson.

Answers

Answer:

Step-by-step explanation:

use the diagram below to help you find the surface area of the figure when the length equals 3, the width is 8, and the height is 7

Answers

the answer is 168 because length x width x height

Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each point value are on the test.

Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points

Answers

Answer:

x + y = 29

5x + 2y = 100

Step-by-step explanation:

y = 15

x = 14

Answer:

The answer is A

Consider the following pair of equations:

y = −2x + 8
y = x − 1

Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

Answers

y = -2x + 8 , y = x - 1 . they both equal y so you can plug them in to equal eachother . so now you have x - 1 = -2x + 8. get x on one side by itself. so change the - on the -2 and add. now you have 3x - 1 = 8 . add 1 to both sides to get rid of it. now you have 3x = 9 . divide both sides by 3. and x = 3 . now plug x into either equation . (the second is easier) so y = 3 - 1 . so y = 2 . (3,2)

Answer:

y+2x=8.....(1)

y-x=-1.......(2)

in equation (2) make x the subject of the formula x=y+1

substitute y+1 for x in equation (1)

y+2(y+1)=8

y+2y+2=8

3y=8-2

y=2

substitute 2 for y in equation 2

y-x=-1

2-x=-1

x=2+1

x=3

y=2 x=3

Use the ratio table to find the unit rate with the specified units.

A) miles per gallon

Answers

Answer:

15.5 miles per gallon

Step-by-step explanation:

The values on the table are increasing linearly

31 gallons / 2 miles = 15.5 miles per gallon

What is the value of j?

Answers

Answer:

34 degrees

Step-by-step explanation:

Since, this is an example of supplementary angle you will do the following :-

180 degrees - 146 degrees = 34 degrees

Hope this helps, thank you !!

What is m∠DEF?
Enter your answer in the box.

Answers

Answer:

I think this question contain figure , check it

Answer:

jjzz

kkfkfklllflflfljfjfj

jjfjf

The grade of a hill is its steepness represented as a percent. Jin tracks his walking speed up different hills. What does the rate of change, or slope,

represent in this situation?

Answers

Answer: The rate represents a decrease in speed for each 1% grade increases.

Step-by-step explanation:

You can use the fact that normal slope is measurement of how much the height changes as we walk on the ground for a unit distance forward. And that percent calculates everything compared to 100 parts.

The rate of change or slope, in this situation tells that if we walk 100 units horizontally, then the slope percent gives us the amount of height increased compared to height before walking 100 units.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

How to measure the rate of change of something as some other value changes?

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

Converting rate of change or slope to percentage

(where dependent variable is height and the independent variable is the distance walked horizontally)

Slope percent  = [tex]Slope \times 100[/tex] = [tex]\dfrac{y_2 - y_1}{x_2 - x_1} \times 100[/tex]

This, shows that, if we walk 100 units horizontally, then the slope percent gives us the amount of height increased.

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factorise x^12 y^4 - x^4 y^12

PLEASE PLEASE explain in step by step Pleasseeeeee​

Answers

Answer:

Step-by-step explanation:

First, look at your terms. You have two terms and two variables in each. So they can be factored out because you can distribute them back in easily.

Focus one variable first, x. You cant factor an x^12 out of an x^4. You can, but you really don't want to, it'll turn your problem into a mess. So the only thing you can do is factor out the lower exponent, x^4.

[tex]x^4(x^8y^4-y^1^2)[/tex]

We arent done yet because the terms still share the y variable. You cant factor a y^12 from a y^4. This is the same problem with the x variable. So take out the lower one, y^4.

[tex]x^4y^4(x^8-y^8)[/tex]

JNCHH$JCERLKERIUVHCEKCORCURNJ

Answers

Answer:

YAs

Step-by-step explanation:

-f +1/6uA=4; solve for a

Answers

Answer:

-1/6f

Step-by-step explanation:

-f+1/6uA=4=

The perimeter of a rectangular playground is 86 feet, the width of the playground is 15 feet, what is the length

Answers

The length is 28ft. W=15 so you’d subtract 30 from 86 and get 56. Then divide 56 by 2 and get 28 which is the length. You can check this by adding 15+15+28+27 together and see if it equals 86 which it does.

8TH GRADE MATH!!
PLEASE HELP ME

Answers

Answer:

20

Step-by-step explanation:

115+x = 135 (remote interior angles)

x = 135-115

x = 20

Please Make Me Brainlist

Answer:

20

Step-by-step explanation:

first look at the line which says a and 135, they add up to 180 so

a + 135 =180

a= 180-135

a= 45

Then to find the x we will have to add all the angles inside the triangle which would add up to 180

So,

x+115+45=180

x+160=180

x=180-160

x=20

THEREFORE X = 20⁰

What is the solution to this inequality?

−9x−15 −2 ​

​ x>2 ​

​ x<2 ​

​ x<−2

Answers

Answer: =−9x−17

Step-by-step explanation:

Let's simplify step-by-step.  

−9x−15−2

=−9x+−15+−2

Combine Like Terms:

=−9x+−15+−2

=(−9x)+(−15+−2)

=−9x+−17     this is the answer search it up    

Someone help pls i will mark u brainliest

Answers

Answer:

24

Step-by-step explanation:

Have a blessed day! :)

PQ is a diameter of a circle with centre If angle PQR=55 ,SPR=25 and angle PQM=50

Find QPR, QPM, and PRS

Answers

Answer:

m∠QPR = 35°         m∠QPM =40°       m∠PRS = 30°

Step-by-step explanation:

ΔPRQ is a right triangle with right angle at R.  So m∠QPR = 90 - 55 = 35

ΔQPM is a right triangle with right angle at M.  So m∠QPM = 90 - 40 = 40

Arc RQ = 2(35) = 70 and arc SR = 2(25) = 50.  

So arc PS = 180 - (arc RQ + arc SR) = 180 - (70 + 50) = 180 - 120 = 60

Now arc PS is the intercepted arc for ∠PRS.  

Therefore, m∠PRS = 60/2 = 30

I used the fact that an inscribed angle has a measure 1/2 the measure of the intercepted arc several times.  Also, I used the fact that the acute angles of a right triangle are complementary.  And, finally I used the fact that an inscribed angle in a semicircle is a right angle.

I hope this helped.

What is the measure of the missing angle?

•86

•96

•76

•94

Answers

Answer:

[tex]86[/tex]

Step-by-step explanation:

A triangle has [tex]180[/tex] degrees.

To solve this, we must first add the other degrees.

[tex]28+66[/tex] = [tex]94[/tex]

[tex]180[/tex] - [tex]94[/tex] = [tex]86[/tex]

Hope I helped!

Check out my profile for more answers!

Answer:

86 degrees

Step-by-step explanation:

the degree angles of a triangle add up to 180 degrees; so far we have 94 degrees. 180 - 94, which is equal to 86.

Two divers are underwater. Nick is 33 feet below the surface. Tristan is 15

feet above him. What is Tristan's depth?

A

15 feet below the surface

B

18 feet below the surface

33 feet below the surface

D

48 feet below the surface

(0) А.

OB

OC

OD

Answers

Answer: 48 feet below the surface

Step-by-step explanation:

From the question, we are informed that two divers are underwater. Nick is 33 feet below the surface while Tristan is 15 feet above him.

Tristan's depth will be represented as x.

Therefore, x - 33 = 15

x = 15 + 33

x = 48

Therefore, the answer is 48 feet below the surface.

Answer:

B 18 feet below

Step-by-step explanation:

So subtract 33-15 bechas depth means below and since tristan has less of a depth to go rather than Nick you would subtrac.

Hope this helped! :)

Eloise runs 1 3/4 miles on Monday and 2 3/4 on Tuesday how many miles do she run

Answers

Answer:

4.5

Step-by-step explanation:

1+2=3

3/4+3/4=6/4=1.5

3+1.5=4.5

Eloise ran a total of 9/2 miles, which can also be expressed as 4.5 miles.

To find out the total number of miles Eloise ran, we need to add the distances she ran on Monday and Tuesday.

On Monday, Eloise ran [tex]1\frac{3}{4}[/tex] miles.

On Tuesday, she ran [tex]2\frac{3}{4}[/tex] miles.

To add these distances, we need to find a common denominator for the fractions.

The least common multiple of 4 and 4 is 4.

Converting the mixed numbers to improper fractions:

[tex]1\frac{3}{4} = \frac{(1 \times 4 + 3)}{4}[/tex]

[tex]= \frac{7}{4}[/tex]

[tex]2\frac{3}{4} = \frac{(2 \times 4 + 3)}{4}[/tex]

[tex]= \frac{11}{4}[/tex]

Now, we can add the fractions:

7/4 + 11/4

= 18/4

Simplifying the fraction:

18/4

= 9/2

Therefore, Eloise ran a total of 9/2 miles, which can also be expressed as 4.5 miles.

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HELP RN 25 POINTS ITS TIMED

Answers

Answer:

y=2/x+3

Step-by-step explanation:

Use the area of the rectangle to find the area of the triangle.
8 ft
A. The area of the triangle is 40 square feet, because the area of the
rectangle is 40 square feet.
B. The area of the triangle is 20 square feet, because the area of the
rectangle is 20 square feet.
C. The area of the triangle is 13 square feet, because the area of the
rectangle is 26 square feet.
D. The area of the triangle is 20 square feet, because the area of the
rectangle is 40 square feet.

Answers

Answer:

D

Step-by-step explanation:

the area of the triangle is 20. using the base of the rectangle [5] and the height of the triangle[8]. I did the same for the rectangle and got the area of  40 for the rectangle

I hope this helped :)

Three ballet dancers are positioned on stage. If Vincent is 16 feet straight behind Erica and 12 feet directly left of Scott, how far is Erica from Scott?

Answers

The answer to this problem is 20
the answer is 20 ^ they are correct!

WILL GIVE 100 BRAINLY POINTS Instructions
Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.
Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.
Part 1: Writing Expressions: 25(10j + 18 + 5j)
Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.
Translate the algebraic expression you created in Question 1 to a verbal expression.
Twenty five times the sum of ten j plus 3 plus j
Part 2: Writing Equivalent Expressions
You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.
Using commutative property of addition, the expression in question 1 can be rewritten as follows:
25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:
25(10j + 18 + 5j) = 250j + 450 + 125j



Use either the commutative property or combine like terms to create an equivalent expression.
Use the distributive property to create an equivalent expression.
Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.
Part 3: Finish the Story
Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?
Choose a method to present your assignment. You may submit your work in a Word Document or you may choose to develop a PowerPoint presentation or video recording of yourself. Use your creativity! Make sure to include the information from all three parts in your Word Document or presentation.

Answers

Answer:

the answer is in PREZI, just search up this question and u will find it : )

by the end of the day Sarah had found 4 shark’s teeth. John found 2 shark teeth .total they found 6 shark teeth .when Sarah and John showed it to their neighbours they paid her 30 dollars the splited the money by 15 dollars for each

the photos is given in order. so write accordingly .

Zoom in to see better pls help!!

Answers

Answer:

12 inches

Step-by-step explanation:

The answer is 12 inches

I’ll mark brainliest to the first person to answer :D

Answers

Answer:

decrease

Step-by-step explanation:

it's 5 - 3 which means it's decreasing

write the equation of this line in y= mx + b form:

Answers

Answer:

y = 2.5x + 3

Step-by-step explanation:

y = mx + b

y = 2.5x + 3

As you can see, each unit is not 1, its 0.5. We need to go up 5 times, and so 0.5 times 5 gives us 2.5, and thats how i got my slope.

I got 3 as my y-intercept because it's were the line intersects the y axis.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

y=5x+3

Step-by-step explanation:

Slope: y2-y1 over x2-x1 so it will be 3-(-2) over 0-(-1) and the answer will be 5.

Y intercept: In order to find the y intercept it is necessary to replace the y an x coordinate in the equation: y= mx+b and replace 3=5(0)+b... simplifying would be 3=b

so the final answer would be y=5x+3

Help me true or false

Answers

1 true

2 false

3 false

4 true

5 true

6 false

7 false

8 true

Step-by-step explanation:

1 true

2 false

3 false

4 true

5 false

6 true

7 false

8 true

i dont know if this is right

Find the slope of (-8.-4) and (-4,-9

Answers

Answer: -5/4

Step-by-step explanation:

Answer:

= -5/4

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -9 - -4)/( -4 - -8)

   = ( -9 +4)/( -4 +8)

    = -5/4

I need help with this

Answers

C because if you look at the intercept it’s a y and the y inception is equivalent to 4 so y=4x-14

Ralph has $10 in his wallet he wants to buy 5 pencils, 3 pens, 2 notebooks from the school store how much more money dose he need

Answers

Answer:

The correct answer is 1.75

Step-by-step explanation:

5 x 0.50 = 2.5

3 x 1.25 = 3.75

2 x 2.75 = 5.5

Then we want to add

2.5 + 3.75 + 5.5 = 11.75

Now, Subtract.

11.75 - 10.00 = 1.75

The total amount spent will be equal to $12, so the money added by Ralph will be equal to $2.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

The total money Ralph has is $10.

Price of each pencil = $0.50

Then, price of 5 pencil will be = 5 × 0.50 = $2.5

Price of each pen = $1.25

Then, the price of 3 pens will be = 3 × 1.25 = 3.75

Price of each notebook = $2.75

Then, the price of 2 notebooks will be = 2 × 2.75 = 5.5

Then, the total money spent by Ralph = 5.5 + 3.75 + 2.75 = 12

The money that he should have to add will be,

$12 - $10 = $2

To know more about arithmetic operations:

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