Why is [tex]a^{2}*a^{-6}* a^{6}=a^{5}[/tex] correct?

Answers

Answer 1

Answer:

incorrect

Step-by-step explanation:

We are multiplying exponents

Since the bases are the same, add the exponents

a^2 * a^-6 * a^6

a^ ( 2+-6 +6)

a^ (2)

This does not equal a^5

Answer 2

Answer:

no

Step-by-step explanation:


Related Questions

Select the decimal that is greater than 1/3 and smaller than 1/2. A 0.299 B 0.300 c. 0.415 d 0.501

Answers

Answer:

C, 0.415

Step-by-step explanation:

Convert the fractions to decimals:

1/3 = 0.3333333...

1/2 = 0.5

So the decimal must be greater than 0.3333333... and smaller than 0.5,

from the options,

only 0.415 matches with the requirements.

Answer:

c.415

Step-by-step explanation:

1/3 = 0.333333...

1=2 = 0.5

Therefore the "c option - 0.415" as it is greater than 1/3 and lesser than 1/2

Hope ths helps....

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What is the slope of the line that passes through the points (–20, 18) and (30, 14)?

Answers

Answer:  the fraction -2/25

Explanation:

Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.

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

m = (14 - 18)/(30 - (-20))

m = (14 - 18)/(30 + 20)

m = -4/50

m = -2/25

Answer:

[tex]-\frac{2}{25}[/tex]

Step-by-step explanation:

Slope is rise over run.

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

We are given the points (–20, 18) and (30, 14).

[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]

The slope is -2/25.

Brainilest Appreciated.

What additional information must be known to prove the triangles similar by SSS? options: A) ∠F ≅ ∠Q B) No additional information is needed. C) The lengths of and D) ∠F ≅ ∠D

Answers

Answer:

Option A)     [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex]

Step-by-step explanation:

There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with  [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.

NEED ANWSER ASAP! WILL GIVE BRAINLIEST! An ant needs to travel along a 20cm × 20cm cube to get from point A to point B. What is the shortest path he can take, and how long will it be (in cm)?

Answers

Answer:

any way since the sides are the same leangth

Step-by-step explanation:

Which statement could be an interpretation of the graph’s x-intercept or y-intercept?

On a coordinate plane, a line goes through points (0, 4) and (8, 0).
Tabitha took 6 hours to drive to her friend’s house.
Matthew used 12 gallons of gas in all.
Rosa will pay off her loan in the eighth month.
Eight members of Hoi's family were each charged $4 to go to a movie.

Answers

Answer:

1. Consider the x-axis to represent months to pay off the loan, and the y-axis to represent $ owed.

2. the ordered pair (8,0) would show that at 8 months there is no more money owed.

Step-by-step explanation:

A bag contains 5 blue marbles, 2black marbles ,and 3 red marbles. A marine is randomly drawn from the bag The probability of not drawing a black marble is___ . The probability of drawing a red marble is____

Answers

Answer:

80%; 30%

Step-by-step explanation:

There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.

There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of not drawing a black marble is 8/10 or 4/5 or 80%.

There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.

In 2005 , 12.1 out of every 50 employees at a company were woman if there are 49,239 total company employees estimate the number of women

Answers

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

When you dived 12.1 by 50 to get the percent of people that fit this category, you get .242 or 24.2% you can use this number to figure out the precentage of employees who are woman by multiplying this number into 49,239 people to figure out what precent of people are woman

Hope this helps :D

Answer:

11915.8 when rounded up to the nearest tenth

Step-by-step explanation:

Determine if the two triangles shown are similar. If so, write the similarity statement. options: A) ΔUVW ∼ ΔFGH B) The triangles are not similar. C) ΔWUV ∼ ΔFGH D) Impossible to determine.

Answers

Answer:

B (from down below) They are similar but your q does not match up with the picture

Step-by-step explanation:

to determine if two triangles are similar you have to make sure the ratios are the same. So 10 / 8 = 1.25, so all sides should have this ratio. 15 / 12 is also 1.25 so you know to sides are similar and also the triangles ARE SIMILAR. So The statement would be KMN is similar to KLP.


Hurry please I really need this .

Answers

Answer:

{2,3,4,5}

Step-by-step explanation:

The given set is in set-builders notation form.

IT says that x such that x belongs to integers and it is greater than or equal to 2 and less than on equal to 5.

So, The set will be written as:

=> {2,3,4,5}

Answer:

(2, 3, 4, 5)

Step-by-step explanation:

If you substitute x with all of the numbers you should get (2, 3, 4, 5)

Brett is making chocolate bars. He wants to make 35 bars from Monday to Friday. One cocoa pod makes ⅚ of bar. If he harvests the same number of cocoa pods each day, how many cocoa pods should he harvest each day to reach his goal of making 35 bars total from Monday to Friday?

Answers

Answer:

9

Step-by-step explanation:

one cocoa pod makes 5/6 bar

to make 35 bars, he needs

35 / (5/6) = 35 * 6/5 = 42 pods

Monday - Friday is 5 days

42/5 = 8.4

He needs more than 8 pods per day, so he must harvest 9 pods per day.

Answer:

8.4

Step-by-step explanation:

A line passes through the point (2,-5) and is perpendicular to the line with the
equation y= 1/5x+ 5. What's the equation of the line?
OA) y = -1/5X + 1
B) y = -5x + 5
OC) y = 5x - 2
D) y=1/5x+4

Answers

Answer: B) y = -5x+5

slope = -5, y intercept = 5

===========================================

Explanation:

The given equation has slope 1/5. We can see that by comparing it to y = mx+b, with m as the slope.

Flip the fraction and the sign to go from 1/5 to -5/1 = -5. The perpendicular slope is -5. We can stop here since only choice B has such a slope.

---------------

If you're curious about finding the y intercept, then you would use m = -5 along with (x,y) = (2,-5) to find the value of b

y = mx+b

-5 = -5(2)+b

-5 = -10+b

-5+10 = -10+b+10 ... adding 10 to both sides

5 = b

b = 5 is the y intercept

So we have y = mx+b update to y = -5x+5 as the perpendicular line.

Answer:

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

Step-by-step explanation:

[tex]y = \frac{1}{5} x + 5 \\ m = \frac{1}{5} \\ m1 = \frac{ - 1}{m2} [/tex]

.

[tex] \frac{1}{5} = \frac{ - 1}{m2 } \\ m2 = - 5 \\ x = 2 \: y = - 5 \\[/tex]

[tex] y = mx + c \\ - 5 = - 5(2) + c \\ - 5 = - 10 + c \\ - 5 + 10 = c[/tex]

[tex]c = 5 \\ m = - 5 \\ y = mx + c \\ y = - 5x + 5[/tex]

help meee plz plz me now

Answers

Answer:

if they are proportional he will give away 20

Answer:

20 should expect to get lizard treats

Step-by-step explanation:

There are 4+10+6 treats = 20 treats

10 out of the 20 are lizard treats

10/20 = 1/2

There are 40 people

1/2 * 40 = 20

20 should expect to get lizard treats

A chess player moves a knight from the location (3, 2) to (5, 1) on a chessboard. If the bottom-left square is labeled (1, 1), the translation made is (options, 2 squares up and 1 square right, 1 square down and 2 squares left, 1 square down and 2 squares right or 2 squares down and 1 square right) If the player moves the knight from (5, 1) to (6, 3), the translation made is (options, 1 square up and 1 square right. 2 squares up and 1 square right, 4 squares up and 2 squares right or 2 squares up and 1 square left)

Answers

Answer:

1. one square down two squares right

2. two squares up one square right

Answer:

one square down two squares right

Step-by-step explanation:

.

What is the area of this figure?
13 mi
5 mi
8 mi
6 mi
3 mi
7 mi
square miles

Answers

Answer:

86 square miles

Step-by-step explanation:

To answer this question you have to separate the shape into smaller ones. In this case, you can separate the shape into one larger rectangle on top and one smaller rectangle on bottom.

Area of large rectangle on top:

13 miles x 5 miles = 65 square miles

Area of smaller rectangle on bottom:

3 miles x 7 miles = 21 square miles

65 + 21 = 86 square miles

Answer:

The answer is 86 square miles

Step-by-step explanation:

First of all you can seperate this shape into shapes that you already know how to solve. Then the rest is easy...You can see how I solved it in more detail  by looking at the image below. I hoped it was helpful!

Right isosceles triangles are constructed on the sides of a 3−4−5 right triangle, as shown. A capital letter represents the area of each triangle. What is [tex]\frac{X+Y}{Z}[/tex]

Answers

Answer:

1

Step-by-step explanation:

because the triangles are isosceles, that means that the area of Z is 5x5x1/2, which equals 12.5

the area of X is 4.5

the area of y is 8

(8+4.5)/(12.5) = 1

10 Points! Help is aprreciated!! :)

Answers

Answer:

A

Step-by-step explanation:

Since the the value is greater than 1, f(x),g(x), and h(x) are exponential functions.

PLEASE HELP URGENTLY

Answers

Answer:

0.8/1 = 0.8

hope this helps you

0.8/1=0.8 I’m not sure if someone answered yet

Rose is making necklaces. She needs 7 sapphires and 6 rubies to make one necklace. Complete the double number line diagram to show the numbers of rubies and sapphires Rose needs to make 1 , 2 3 and 4 necklaces.

Answers

Answer:

B

Step-by-step explanation:

A man has 3 different suits, 4 different shirts and 5 different pairs of shoes. In how many different ways can this man wear a suit, a shirt and a pair of shoes? 35 12 60 17

Answers

Answer:

60 ways

Step-by-step explanation:

Multiply the number of suits, shirts and shoes to find the number of ways

3 * 4 * 5

60 ways

Answer:

60

Step-by-step explanation:

(4 x 3) 5

helpppp me plz i need help i need help

Answers

Answer: [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

- A coin has 2 sides. Which means the probability of the coin landing on one side will be [tex]\frac{1}{2}[/tex].

- Since there are three coins, we multiply [tex]\frac{1}{2}[/tex] three times ( [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]* [tex]\frac{1}{2}[/tex]) to get the answer of [tex]\frac{1}{8}[/tex]

Sam's total expenses last month were $1840. What was his total variable cost for last
month?
Expense
Amount
Rent
$100
Groceries and drinks
$1000
$10
Insurance premiums
Loan interest payment
Clothes
$30
$200
&
Utilities
$300
Home security fee
$200​

Answers

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

[tex]\text{Total variable cost}=\$1000+\$200+\$300=\$1500[/tex]

Therefore, total variable cost for last month is $1500.

Answer:

$1500

Step-by-step explanation:

I just took the test and got it right

is this right? someone please help i’ll give brainliest :)

Answers

Answer:

x>-1

Step-by-step explanation:

Answer:

Your answer is incorrect.

Step-by-step explanation:

The answer that you should have gotten is;

x>-1

Multiply and simplify
(x +1)3 x (x+1)4

Answers

Answer:

12x^2+24x+12

Step-by-step explanation:

(3x+3) * (4x+4)

12x^2+24x+12

Answer:

( x+1)^7

Step-by-step explanation:

(x +1)^3 * (x+1)^4

Replace x+1 with m

m^3 * m^4

The bases are the same so we can add the exponents

m^ (3+4)

m^7

Replace m with x+1

( x+1)^7

To make a specific hair dye, a hair stylist uses a ratio of 118 oz of red tone, 34 oz of gray tone, and 58 oz of brown tone. If the stylist needs to make 20 oz of dye, how much of each dye color is needed?

Answers

Answer:

The answer is, the hair stylist needs 5.9 oz of the red tone, 1.7 oz of gray tone, and 2.9 oz of brown tone

Step-by-step explanation:

It says if the stylist needs to make 20 oz of dye,how much of each dye is needed? So you need to divide 20 by 118,34,and 58.

Step 1:Highlight important words that can help answer the question

Highlight:How much,each,ratio,is needed

Step 2:Collect data(numbers) from the algebraic equation

Example:118 oz, 34 oz, 58 oz, 20 oz

Step 3:Divide 20 by each ratio of dye

118/20

34/20

58/20

Step 4:Get the quotient of each dividend

118/20=5.9

34/20=1.7

58/20=2.9

Step 5:Check your work to make sure it's correct. Note:If you check your work but it's not right try again.

20 x 5.9=118

20 x 1.7=34

20 x 2.9=58

The table represents the multiplication of two binomials. A geometric model with 2 columns and 2 rows. The first column is labeled negative 2 x with entries A, C. The second column is labeled 3 with entries B, D. The first row is labeled 4 x with entries A, B. The second row is labeled 1 with entries C, D. Which letters from the table represent like terms? A and B B and C A and D B and D

Answers

Answer:

  B and C

Step-by-step explanation:

Like terms are terms with the same constellation of variables. The like terms in this product are (12x) and (-2x). The cells containing those are designated B and C.

Answer:

B and C

Step-by-step explanation:

Find the area of the following shape.

Answers

Answer:8

Step-by-step explanation:

Answer:

How do you figure 8?

A=1/2(L*W) triangle but what is the work?

Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. 34 and 12

Answers

Answer:

[tex]22 < X < 46[/tex]

Step-by-step explanation:

Given

Two sides of a triangle; 34 and 12

Required

Determine the range of the third side

Represent the third side with X

To determine the range of the third side; two of the following conditions must be satisfied'

[tex]34 + X > 12[/tex]

[tex]34 + 12 > X[/tex]

[tex]12 + X > 34[/tex]

Solving 34 + X > 12

Subtract 34 from both sides

[tex]34 - 34 + X> 12 - 34[/tex]

[tex]X > -22[/tex]

Solving 34 + 12 > X

[tex]34 + 12 > X[/tex]

[tex]46 > X[/tex]

Solving 12+ X > 34

Subtract 12 from both sides

[tex]12 - 12 + X > 34 -12[/tex]

[tex]X > 22[/tex]

Write out the results

[tex]X > -22[/tex]

[tex]46 > X[/tex]

[tex]X > 22[/tex]

The first inequality will be discarded because it accommodates negative digits;

So, we're left with

[tex]46 > X[/tex] and [tex]X > 22[/tex]

This can be rewritten as

[tex]X < 46[/tex] and [tex]22 < X[/tex]

Combine both inequalities;

[tex]22 < X < 46[/tex]

Hence, the range of the third length is [tex]22 < X < 46[/tex]

Which equation, when solved, results in a different value of x than the other three?

Answers

Answer:

-7/8(-8/7)x-3/4=20(-8/7)

Step-by-step explanation:

-7/8(-8/7)x-3/4=20(-8/7)

x-3/4=-21 1/7

x=-21 4/28-21/28

x= 20 3/28

The other three are actually the same problem, and they all equal -23.7

Answer:

-7/8(-8/7)x-3/4=20(-8/7)

Step-by-step explanation:

Proof Below

Got it right on test

Solve the system of equations using substitution. Write your answer as an ordered triple in the form (x, y, z).
X+ y + z = 2
4x + 5y + z = 12
2x = -4

Answers

Answer:

  (x, y, z) = (-2, 4, 0)

Step-by-step explanation:

Solving the last equation first, we have ...

  2x = -4

  x = -2 . . . . . divide by 2

__

Putting this in the first equation, we can write an expression for z:

  -2 +y +z = 2

  z = 4 -y . . . . . . . add 2-y

__

Putting this in the second equation, we have ...

  4(-2) +5y +(4 -y) = 12

  -4 +4y = 12

  -1 + y = 3 . . . . . divide by 4

  y = 4 . . . . . . . . add 1

__

Substituting this into the equation for z, we have ...

  z = 4 - 4 = 0

The solution is (x, y, z) = (-2, 4, 0).

Answer:

X+y+z=2 equation 1

4x + 5y + z = 12 equation 2

2x = -4 equation 3

Step-by-step explanation:

step 1 :

from equation 3 : 2x = -4

x= -4/2 = -2

step 2:

sub value x = -2 in equation 1

y + z = 4 _______ equation 4

step 3:

sub value of x in equation 3

5y + z = 20 _________ equation 4

solve equation 3 and 4

y + z = 4

5y + z = 20 sign change

__(-)_________

-4y = -16

__________

y = 4

substitute x = -2 & y = 4 in equation 1

z = 0

Hence x = -2 , y = 4 & z = 0

Emily has driven 600 miles so far on her way to the beach. If her total trip will be 850 miles‚ about what percentage of the drive does she have left to complete? a) 15% b) 29% c) 40% d) 73%

Answers

Answer:

B) 29%

Step-by-step explanation:

First, we subtract 600 from 850 to get the distance she has left. 850 - 600 = 250. Next, we take 250 and divide it by 850 to get the decimal which is 0.294117647. We can round this answer to 0.29 and convert this answer to a percentage which is 29%.

Answer:

B. 29%

Step-by-step explanation:

Percentages can be found by dividing the part by the whole, then multiplying by 100.

(part/whole) * 100

We have to find the percentage of the drive she has left.

Therefore, the part is the miles she has left and the whole is the total trip.

(miles left/total trip) * 100

First, we need to find how many miles she has left. We must subtract the miles she has driven from the total trip.

total - miles driven

She has 850 total miles and has driven 600 miles.

850-600

250

She has 250 miles left.

Now we know the miles she has left.

(miles left/total trip) * 100

miles left = 250

total trip= 850

(250/850) * 100

Solve inside the parentheses first. Divide 250 by 800.

(0.29411765)*100

Multiply

29.411765

Round to the nearest whole number. The 4 in the tenth place tells us to leave the whole number as is.

29

Therefore, she has about 29% of her trip left.

Other Questions
please help! I don't understand how to do this :(Simplify.Remove all perfect squares from inside the square root. Assume y is positive.200y^4= What was not a failure of the Reconstruction era?Relatively few African Americans were able to acquire propertyPolitical opportunities for African Americans disappeared after a short time.African American males gained the right to vote.Corruption and scandal occurred in government. ...................................... If you are convicted of a DUI you could lose your life savings paying fines or restitution to the people that you have injured or killed.a) trueb) false Find the maximum and minimum values by evaluating the equation "How does mass affect thermal energy transfer? Choose the best estimate for the division problem below6.7 /0.6A. 16B. 15C. 11 Jason is playing a trivia game with his friends. At the end of each round, his score updates to the square of 1 less than the previous rounds score. If he has 8 points in the first round, which of the following recursive formulas can be used to determine his score at the end of future rounds? Assume that the number of rounds is unlimited, and n is the number of rounds. Use 1-Butanol as the only organic compound, design a method to synthesize 5-Nonanone. You may use any other inorganic reagents. Any organic reagents have to be made from 1-butanol. Power Drive Corporation designs and produces a line of golf equipment and golf apparel. Power Drive has 100,000 shares of common stock outstanding as of the beginning of 2021. Power Drive has the following transactions affecting stockholders' equity in 2021. March 1 Issues 55,000 additional shares of $1 par value common stock for $52 per share. May 10 Purchases 5,000 shares of treasury stock for $55 per share. June 1 Declares a cash dividend of $1.50 per share to all stockholders of record on June 15. (Hint: Dividends are not paid on treasury stock.) July 1 Pays the cash dividend declared on June 1. October 21 Resells 2,500 shares of treasury stock purchased on May 10 for $60 per share.Required:Record each of these transactions. Which European country raised the biggest threat to Spanish dominance in the New world and why According to the map, the borders of the Mongol Empire following the death of Genghis Khan. During his lifetime, Genghis Khan was able to capture parts of and large areas in . The greatest extent of the Mongol Empire occurred in Find the force acting on it and the acceleration. 15 points. Will give brainliest! The functional residual Capacity is obtained by adding together which of the following respiratory volumes What does x equal in the equation 4x + (3) = 5x + 3? At work, Clarence is always pleasant and efficient and seems to get the job done with a minimum of fuss. At home, Clarence often seems to lose his temper over the least little thing. What do these two situations tell us about Clarence and his self-concept HELP JOHN CHEN I need help For the inequality y+4xx2+2, where is the graph shaded and is the curve solid or dotted? In the picture down below Let $f(x)=x+5$ and let $g(x)=x^2+1$. Let $p(x)=g(x)+f(x)$ and let $q(x)=g(x)-f(x)$. Find $p(x)\cdot q(x)$.