Express as a single power.

Answers

Answer 1

[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]

Related Questions

If the letters in the word NEIGHBOR are
randomly rearranged, what is the probability
that the arrangement ends with the letter B?

Answers

1/8 is the probability.

WILL BRAINLIST IF YOU GET CORRECT AND HURRY
A pair of linear equations is shown below: y = −3x + 5 y = x + 2 Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)

A: On a graph, find the point of intersection of two lines, the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1.

B: On a graph, find the point of intersection of two lines, the first line has y-intercept = −3 and slope = 5, and the second line has y-intercept = 1 and slope = 2.

C: On a graph, find the point of intersection of two lines, the first line has y-intercept = −5 and slope = 3, and the second line has y-intercept = −2 and slope = −1.

D: On a graph, find the point of intersection of two lines, the first line has y-intercept = 3 and slope = −5, and the second line has y-intercept = −1 and slope = −2.

Answers

ANSWER : B

I know cause I took it and it was B

Answer:

answer is b

Step-by-step explanation:

clothing store sells t shirt in only three colors red blue green the colors are in the ratio of 3:4:5 if the store has a total of 60 how many blue t shirt

Answers

Answer:

Step-by-step explanation:

red/blue = 3/4 and you get blue/green = 4/5

= 60/4 = 15

you have 15 red shirts, 20 blue shirts, and 25 green shirts.

15/20 = 3/4

20/25 = 4/5

if you simplify 15/20, you will see that it is equivalent to 3/4

if you simplify 20/25, you will see that it is equivalent to 4/5.

Find the measure of the angle marked and indicated in bold

Answers

Each angle that is opposite is the same measurement and if a circle has 360 then you just have to subtract

YOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:

If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?

If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?

Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?

Answers

Answer:

(0.5,-0.5)(0.5,0.5)2 yards

Sumas y restas de polinomios

Answers

Creo que es -13/2 -35y/4

If △CFE≅△PTR, complete each of the following statements:

CE¯¯¯¯¯¯¯¯ ≅

TR¯¯¯¯¯¯¯ ≅

∠P ≅∠

∠F ≅∠

△FEC ≅△

△RPT ≅△

Answers

Based on the definition of congruent triangles, the statements will be completed as follows:

CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECF

Recall the following about Congruent Triangles:

The three angles of one triangle is congruent to the three corresponding angles in another triangle if both triangles are congruent triangles.The three sides of one triangle is congruent to the three corresponding sides in another triangle if both triangles are congruent triangles.

Given that △CFE≅△PTR, thus:

CE corresponds to PR, therefore CE ≅ PRFE corresponds to TR, therefore FE ≅ TRCF corresponds to PT, therefore CF ≅ PT∠P corresponds to ∠C, therefore ∠P ≅ ∠C∠T corresponds to ∠F, therefore ∠T ≅ ∠F∠R corresponds to ∠E, therefore ∠R ≅ ∠E

Thus, based on the definition of congruent triangles, the statements will be completed as follows:

CE ≅ PRTR ≅ FE∠P ≅ ∠C∠F ≅ ∠T△FEC ≅ △TRP△RPT ≅ △ECF

Learn more about congruent triangles on:]

https://brainly.com/question/8876876

Today is my birthday. My age today, in months, is 72 times my age 5 years ago,
in years. My age today, in years, is

Answers

Answer:

Happy Birthday!

Step-by-step explanation:

HELP ME FAST PLZZ
Wendy has 5 1/3 of ribbon.

Part A: How many 2/3 -foot pieces can Wendy cut from the 5 1/3 feet of ribbon? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)

Answers

Answer:

Part A: 8 ribbons

Part B: see below

Step-by-step explanation:

first 5 1/3 = 16/3

[tex] \frac{16}{3} \div \frac{2}{3} \\ = \frac{16}{3} \times \frac{3}{2} \\ = \frac{48}{6} = 8[/tex]

the answer is 8 dude!

The mass of 100 tins of corned beef is 34 g. What is the mass, in grams (g), of 1 tin of corned beef?

Answers

Answer:

solution

100 tins of corned beef =36 g

1 tin of corned beef = 36÷100=0.36

so, 1 tin of corned beef is 0.36 g.

If Alex is 14 years old, and Ben is 17 years old, in how many years will the sum of their ages be 169 years?

Answers

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Answers

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2) radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0

Marc drove 312.8 miles on 12.5 gallons of gas. What was the car’s average mileage miles per gallon for the distance.

Answers

Answer:

25.024 mi/gal

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

(312.8 mi)/(12.5 gal) = 25.024 mi/gal

A cart is slowing down at a rate of 2t + 60 centimeters per second per
second (where t is the time in seconds).
By how many centimeters per second does does the cart slow
down between seconds 5 and 15?

Answers

The cart slows that at the rate of 20cm/s between 5 and 15secs

Given the rate function expressed as:

r(t) = 2t + 60

If the time is t = 5

r(5) = 2(5) + 60

r(5) = 70cm/s

If the time is t = 15

r(15) = 2(15) + 60

r(15) = 90cm/s

Taking the difference in rate;

Difference = 90cm.s - 70cm/s

Difference = 20cm/s

Hence the cart slows that at the rate of 20cm/s between 5 and 15secs

Learn more on rate of functions here:

https://brainly.com/question/13516577

Practice using angle relationships.
Assignment
J
What is the measure of JKL?
* 60°
96°
O 80°
O 110°
O 120°
240
H
K L

Answers

Answer:

120

Step-by-step explanation:

24 + 96 = 120

Hope this helps!

A scuba diver wants to dive more than 2/12 times her previous deepest dive. That means she has to dive at least 70 feet below the surface of the ocean. This dive is represented by the inequality 2/12p<−70, where p is the distance below the surface of her previous deepest dive.

Select from the drop-down to correctly interpret the solution of this inequality.

The scuba diver's previous deepest dive was

Choose...

feet below the surface of the ocean.

Answers

The distance below the surface of her previous deepest dive is 420 feet

Given the inequality expression representing the dive given as:

2/12p<−70

We are to get the solution to the inequality expression;

Given;

2/12p<−70

Multiply both sides by 12:

2p < 70 * 12

2p < 840

Divide both sides by 2

2p/2 < 840/2

p < 420

Hence the distance below the surface of her previous deepest dive is 420 feet

Learn more on inequality here: https://brainly.com/question/22354790

Answer:

2 1/2p<-70

the answer is deeper than 28

Step-by-step explanation: I took the test

100 drops of water weigh 9 grams so how many tons do 100 million drops of water weigh

Answers

Answer:

100 drops of water weigh about 9 grams. So how many tons do 100 million drops of water weigh?

Step-by-step explanation:

please mark my answer in brainlist plz

100 drops = 9 grams
100 million is 100 x million
so 9 x million is 9 million

Multiply. Write the answer in simplest form. 3/7 x 2 5/6

Answers

193/42

3×6+25×7÷4218+175÷42193/42

There are 28 girls and 21 boys in a class. What is the ratio, in simplest terms, of the number of girls to the number of boys? (show the work please)

Answers

Answer: The simplified ratio is 4:3

Step-by-step explanation:

To find the ratio of the number of girls to the number of boys, we can divide the number of girls (28) by the number of boys (21) to get:

28 ÷ 21 = [tex]\frac{28}{21}[/tex]

Next, we can simplify the fraction further to get [tex]\frac{4}{3}[/tex], which equals 4:3.

what is 0.128 as a fraction

Answers

[tex]0.128 \\ = \frac{128}{1000} \\ = \frac{16}{125} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

16/125

Step-by-step explanation:

Write 0.128 as

0.128/1

Multiply both numerator and denominator by 10 for every number after the decimal point

(0.128 × 1000)/(1 × 1000) = 128/1000

Reducing the fraction gives

16/125

One bridge in Maryland is 6,946 meters
long. It is 46 times as long as another
nearby bridge. How long is the shorter
bridge? Explain.

Answers

Answer:

151 meters

Step-by-step explanation:

6946/46=151 meters

Answer:

Step-by-step explanation:

If you want to be formal, let the shorter bridge = x

46x = 6946 Divide by 46

x = 6946/46

x = 151

So the shorter bridge is 151 meters long.

can anyone please tell me how to do this

Answers

Hello there, this problem is just basic addition, here is what it would look like

[tex]52.31+25.90[/tex]

Solve it and we get 78.21

Amount earned on Saturday = $ 52.31

Amount earned on Sunday = $ 25.90

Total amount earned

= $ 52.31 + $ 25.90

= $ 78.21

Therefore, Tara earned $ 78.21 in total. Hope this helps.

Have a nice day.

CAN YOU PLS HELP MEEEE

Answers

Answer:

10x−2y

Step-by-step explanation:

Just ask!

Hope this helps. :)

[tex] \: \: \: \: \: \: [/tex]

[tex]10x - 2y[/tex]

Step-by-step explanation:

[tex]8x - 2y + x + x[/tex]

Collect like terms

[tex] = \: \: \: \: 10x - 2y[/tex]

hope it helps

What is the slope of the line?

Answers

Answer:

[tex] - \frac{2}{3} [/tex]

Step-by-step explanation:

Pick two points on the graph: (4, -5) and (1, -3)

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{ - 5 - ( - 3)}{4 - 1} [/tex]

[tex] = \frac{ - 5 + 3}{3} [/tex]

[tex] = - \frac{2}{3} [/tex]

references on kinetic energy will give brainlist! in own words NO PLARISM!!!!!!!!!!!

Answers

Answer:

See below

Step-by-step explanation:

Kinetic energy is basically energy that an object has while it moves. For example, a ball rolling down a hill will have kinetic energy as it rolls, or a bullet shot out of a gun.

Kinetic energy is the energy acting on a moving object for example a ball when you roll it then gets kinetic energy sorry if this is wrong

2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3

Answers

Answer:

Step-by-step explanation:

y= 3/4x + 3 Find the y and x intercept

Answers

[tex]y - intercept = 3[/tex]

[tex]x - intercept = - 4[/tex]

What is the prime factorization of 24?
1. 2x2x2x3
2. 2x2x3
3. 8x3
4. 6x4

Answers

Answer:

1. 2x2x2x3

Step-by-step explanation:

Let's do process of elimination.

2. 2x2x3

2x2=4 4x3=12

2 is false.

3. 8x3

8x3=24

3 is true, but 8 is not a prime number.

4. 6x4

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

1. 2x2x2x3

2x2=4 2x3=6 6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps

Answer:

1. 2x2x2x3

Step-by-step explanation:

Prime factorization is defined as a way of finding the prime factors of a number, such that the original number is evenly divisible by these factors.

[tex]24\:\mathrm{divides\:by}\:2\\\\\quad \:24=12\cdot \:2[/tex]

[tex]12\:\mathrm{divides\:by}\:2\\\\\quad \:12=6\cdot \:2[/tex]

[tex]6\:\mathrm{divides\:by}\:2\quad\\\\ \:6=3\cdot \:2[/tex]

[tex]2, 6\:\mathrm{divides\:by}\:2\quad \\\\\:6=3\cdot \:2[/tex]

Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
a. constant Correlation
b. negative Correlation
c. Positive correlation
d. no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

they arent in a line

The phrase that best describes the relationship indicated by the scatter plot is D. No correlation

What is a Scatter Plot?

This refers to the use of dots to represent values for two different numeric variables.

Hence, we can see that the best description that can be used to show the relationship in the scatter plot is option D which is no correlation because they are not in a line.

Answers

Supposing a spinner with 4 sides, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the coin, there are two possible outcomes: H or T.Supposing the spinner has 4 sides, there are four possible outcomes: 1, 2, 3, or 4.

Hence, the sample space is:

{H1, H2, H3, H4, T1, T2, T3, T4}

For more on sample space, you can check https://brainly.com/question/25775544

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