A number to the 10th power divided by the same number to the 7th power equals 512. What is the number?

The number is

Answers

Answer 1
Question (rewritten into a easier form): x¹⁰ ÷ x⁷ = 512

Answer:

Using our knowledge that x¹⁰ ÷ x⁷ = x³, we can rewrite the equation as:

x³ = 512

To work out what x is, we do ∛512 (cubed root of 512).

This will get us: 8.

Final answer:

The number is 8.

Proof:

8¹⁰ = 1073741824
8⁷ = 2097152

1073741824 ÷ 2097152 = 512

I hope this made sense and helped, if you have any questions or you think I made a mistake please let me know!

:)

Related Questions

y = 6x - 10
y = 2x + 2

Answers

Answer:

1. x= 5/3 or 1.6 and y= -10

2. x= -1 and y= 2

Step-by-step explanation:

1. y= 6x - 10, 0= 6x - 10, -6x= -10, x= 5/3

2. y= 2x + 2, 0= 2x + 2, -2x= 2, x= -1

Mr. Yoshi has 75 papers. He graded 60 papers, and he has a student teacher grade the rest. What percent of the papers
did Mr. Yoshi grade?

Answers

Answer:

80%

Step-by-step explanation:

A baker has 5 bags of raisins in the cupboard. Each bag weighs 24 ounces. How many pounds of raisins does the baker have in the cupboard?

Answers

Answer:

7 1/2 pounds

Step-by-step explanation:

5 x 24 = 120

16oz = 1 pound

120oz = 7 1/2 pounds

Answer:

7.5 lbs of raisins

Step-by-step explanation:

24 x 5 = 120 ounce (oz)

1 lb = 16 oz

120 ÷ 16 = 7.5 lbs

WILL PAY 40 POINTS AND BRAINLIEST!!!!
A line goes through the points (-3 1) and (-2 4)
(a) What is the slope of the line? Show your work.
(b) Write the equation of the line in point-slope form. Show your work.
(c) Write the equation of the line in slope-intercept form. Show your work.

Answers

Answer:

Part A)

The slope is 3.

Part B)

[tex]\displaystyle y-1=3(x+3)[/tex]

Part C)

[tex]\displaystyle y=3x+10[/tex]

Step-by-step explanation:

We know that the line goes through the points (-3, 1) and (-2, 4).

Part A)

To find the slope of a line given two points, we can use the slope formula:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where (x₁, y₁) and (x₂, y₂) are our two points.

So, let’s let (-3, 1) be (x₁, y₁) and let (-2, 4) be (x₂, y₂). Substitute appropriately:

[tex]\displaystyle m=\frac{4-1}{-2-(-3)}[/tex]

Evaluate:

[tex]\displaystyle m=\frac{3}{-2+3}=\frac{3}{1}=3[/tex]

Hence, the slope of our line is 3.

Part B)

Point-slope form is given by:

[tex]\displaystyle y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is a point.

So, let’s substitute 3 for m.

For our point, we can use either of the two given. Let’s use (-3, 1) for consistency. So, let (-3, 1) be (x₁, y₁). Therefore:

[tex]\displaystyle y-1=3(x-(-3))[/tex]

Simplify. Hence, our point-slope form is:

[tex]\displaystyle y-1=3(x+3)[/tex]

Part C)

To rewrite into slope-intercept form, we can just solve for y from our point-slope form. So, we have:

[tex]\displaystyle y-1=3(x+3)[/tex]

Distribute on the right:

[tex]\displaystyle y-1=3x+9[/tex]

Add 1 to boths sides. So, our slope-intercept equation is:

[tex]\displaystyle y=3x+10[/tex]

I NEED HELP ASAP IM DOING IT NOW. !!!!!!!!!!!!!!!!!!!!!!! Lily likes to collect records. Last year she had 12 records in her collection. Now she has 15 records. What is the percent increase of her ​collection?

Answers

Answer:

12/10 =1.2 - 1 = 0.2 x 100 = 20%

Step-by-step explanation:

Answer:

45% increased.

Evaluate the expression 2[x(2y+3z)] when x=8, y=3, and z=1. Show all steps below.

plz help me and show steps

Answers

Answer:

Step-by-step explanation:

Putting values

2[8(2(3)+ 3(1)]

2(8(9)

2(72)

144

The parents are making sandwiches for a class picnic. They have 72 turkey slices, 48 cheese slices and 96 tomato slices. What is the greatest number of sandwiches they can make if each sandwich has the same filing? how many slices of turkey cheese and tomato each sandwich will have.

Answers

Probably 48 there would be extra turkey and tomato slices so just subtract 48 from that and see what’s left over.

i might give the crown

Answers

Answer:

Area=88in squared

Step-by-step explanation:

Answer 128 to the second  power

explanation:

its 128 to the second power because if you multiply 16*8 and you will get 128to the second power

If <5=135 degrees, find the value of <2

Answers

Answer:

<2 is 45°

Step-by-step explanation:

180° - 135° = 45° (<6){Sum of Angles on a straight line}

<6=<3=45°{ Alternate angles}

<3=<2=45°{vertically opposite angles are equal}

what percentage of children are younger then 7​

Answers

Answer:out of what i need to know like data first

Step-by-step explanation:

PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST TO FIRST PERSON THXXX

Answers

Answer:

x<1200

X is the number of seats

X>3

Step-by-step explanation:

What is the monthly share of their annual expenses?
FIRST ANSWER WILL GET BRAINLIEST

Answers

Answer:  The characteristics of an annual percentage rate are that it can change over time for certain kinds of loans; it is the interest charged each year for a loan; and it can be reduced to reflect the borrower’s credit history.

Step-by-step explanation:

someone help me please, this topic is based on slopes.

Answers

Answer:

 run / rise =5/1

Step-by-step explanation:

The run is 5 and the rise is 1

what is the slope intercept formula​

Answers

Answer:

y=mx+b

Step-by-step explanation:

Answer:

y=mx+b

Explanation:

The slope-intercept formula is y=mx+b. The b represents the y-intercept, which is the point where a line on a graph meets the y-axis. The coordinates for this would be (0,b). The m represents the slope, which is the rate of change. The x represents any x variable that you plug in. The y represents the y variable.

\large{\dfrac{2.64\times 10^{-3}}{8.0\times 10^{0}}} =\ ?
8.0×10
0

2.64×10
−3

Answers

Answer:the answer is option a. it involves organizing events in the order in which they occurred.

Step-by-step explanation:

What is the Remainder when using long Division?​

Answers

Answer:

it's the number that u end up with at the bottomof the division process. hope this helps...

Step-by-step explanation:

Answer:

[tex] {2x}^{2} + 3x - 11 + \frac{19x + 23}{ {x}^{2} + 2x + 2} [/tex]

Also, the term remaining after the last subtract step is the remainder and must be written as a fraction in the final answer.

what is 14+8.12 – 42

Answers

Answer:

-19.88

Step-by-step explanation:

hope this helps :)

❅ Answer:

-19.88

❅ Step-by-step explanation:

Add 14 + 8.12 which gives you 22.12. Now subtract 22.12 by 42 = -19.88

Hope this helps! By: BrainlyAnime~

♡ Thank you and have a wonderful day ♡

PLEASE HELP ME FAST... WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER ​

Answers

Answer:

22.1

Step-by-step explanation:

divide 16.9 by 13= 1.3

17x1.3=22.1

The answer is 22.1 I got it right on my test

Plzz help if u can plzzzz

Answers

Answer:

I think 32

I'm not sure

slope for (1,5) (3,4)​

Answers

Answer:

-1,2

Step-by-step explanation:

4-5=-1

3-1=2  

y2-y1

x2-x1

⚠️PLEASE HELP FAST⚠️ Camie and Jorge each begin saving money
for a new computer. Camie saves $5 per
week plus $50 she receives for her birthday.
Jorge saves $7 per week. Which of the
following can be used to find w, the number
of weeks until Jorge has saved at least the
same amount as Camie?
A.7w = 5W + 50
B.50 + 5w < 7w
C.5W + 50 >_7w
D.7W >_5W + 50

Answers

Answer:

The answer is A

Step-by-step explanation:

Camie: $5x + $50 = $55 ( for now/i think)

Jorge: $7x

The  equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

The correct option is (A)

What is equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign.

Given:

Camie saves $5 per week plus $50 she receives for her birthday.

Jorge saves $7 per week.

Now, Jorge have to achieve the same amount as Camie.

let w be the number of weeks.

Then equation can be represented as

7w = 5W + 50

Here 7w is amount by Jorge and 5W + 50 is amount of Camie.

Hence, the equation to represent  Jorge has saved at least the same amount as Camie is 7w = 5W + 50.

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ2

14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NOT pass?

Answers

Answer:

14:8

Step-by-step explanation:

GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B

Answers

1.Z~ Q
2.YZ~PQ
3.P~Y
4.X~N
5.NQ~XZ
6.PN~YX

Similar triangles may or may not be congruent.

The corresponding parts of XYZ and NPQ are: [tex]\mathbf{Z \cong Q}[/tex] ,   [tex]\mathbf{YZ \cong PQ}[/tex]   ,  [tex]\mathbf{X \cong N}[/tex]   ,  [tex]\mathbf{NQ \cong XQ}[/tex]  , [tex]\mathbf{PN \cong YX}[/tex].The unknown values are: [tex]\mathbf{y = 18}[/tex] , [tex]\mathbf{z = 12}[/tex]   , [tex]\mathbf{L = 60}[/tex] , [tex]\mathbf{C = 60}[/tex], [tex]\mathbf{AC = 24}[/tex].The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Question 1 to 6:

Triangles XYZ and NPQ are similar triangles.

This means that:

Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles

Question 7 to 12:

Triangles LMN and CBA are similar triangles.

This means that:

[tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{2y-12 = z + 12}[/tex]

Collect like terms

[tex]\mathbf{2y= z + 12+12}[/tex]

[tex]\mathbf{2y= z + 24}[/tex]

Make z the subject

[tex]\mathbf{z = 2y -24}[/tex]

Substitute [tex]\mathbf{z = 2y -24}[/tex] in [tex]\mathbf{7z+6 = 5y}[/tex]

[tex]\mathbf{7(2y -24) + 6 = 5y}[/tex]

[tex]\mathbf{14y -168 + 6 = 5y}[/tex]

[tex]\mathbf{14y -162 = 5y}[/tex]

Collect like terms

[tex]\mathbf{14y -5y = 162}[/tex]

[tex]\mathbf{9y = 162}[/tex]

Divide both sides by 9

[tex]\mathbf{y = 18}[/tex]

Recall that: [tex]\mathbf{z = 2y -24}[/tex]

[tex]\mathbf{z = 2 \times 18 - 24}[/tex]

[tex]\mathbf{z = 12}[/tex]

[tex]\mathbf{L = 60}[/tex]

[tex]\mathbf{LN = 2y - 12}[/tex]

[tex]\mathbf{LN = 2 \times 18 - 12}[/tex]

[tex]\mathbf{LN = 24}[/tex]

[tex]\mathbf{C = L}[/tex]

[tex]\mathbf{C = 60}[/tex]

[tex]\mathbf{AC = LN}[/tex]

[tex]\mathbf{AC = 24}[/tex]

Question 13:

The congruent parts are: KL and RQ,  KJ and RS, QS and LJ

Read more about congruent and similar triangles at:

https://brainly.com/question/19589236

TIME REMAINING
01:58:43
Which statement is a correct interpretation of the vertical line test?
If only one vertical line intersects the graph at exactly one point, the graph represents a function
If only one vertical line intersects the graph at exactly one point, the graph does not represent a function
If any vertical line can intersect the graph at more than one point, the graph represents a function
If any vertical line can intersect the graph at more than one point, the graph does not represent a function

Answers

Answer:

If only one vertical line intersects the graph at exactly one point, the graph represents a function.

hi everyone i need help​

Answers

Answer:

1/9

Step-by-step explanation:

-2/3(-1/6)

1/9

what is the measure of the line segment AB if D is between A and B, AD = 7, and DB = 12?

Answers

Answer:

Given AD = 7 and DB = 12, to find AB you need to add them

AB = 12+7

AB = 19

The measure of the line segment AB is 19 units.

What are the coordinates of midpoint of the line segment AB?

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}andy = \dfrac{q+n}{2}[/tex]

We are given that;

AD = 7, and DB = 12

Now,

To find the measure of the line segment AB, we need to use the segment addition postulate. The segment addition postulate states that if a point is between two other points on a line segment, then the sum of the lengths of the two smaller segments is equal to the length of the larger segment.

In this problem, D is between A and B, so we can apply the segment addition postulate and write:

AD + DB = AB

Substituting the given values of AD and DB, we get:

7 + 12 = AB

Simplifying, we get:

19 = AB

Therefore, by the given point the answer will be 19 units.

Learn more about mid point here;

https://brainly.com/question/5127660

#SPJ2

1o Divide
$ 20,000 in the ratio 3:2​

Answers

Answer:

30,000

Step-by-step explanation:

3/2 multiplied by 20k is

3 x 20000 over 2

which is 60000 over 2

which is 30000

Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?

Answers

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

Find m 5

Lines L and M are parallel

Answers

Answer:

142

Step-by-step explanation:

<38 and <6 are vertical angles so they both measure 38

<6 and <5 are same side interior angles so they add up to 180

knowing this, you can simply subtract 38 from 180 to find <5

180 - 38 = 142

Which expression is equivalent to 45 + 30

Answers

Answer:

5(9+6)

5×9=45

5×6=30

I hope this is good enough:

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