Select the equivalent expression

Select The Equivalent Expression

Answers

Answer 1

The equivalent expression is: (C) [tex]$\frac{1}{3^9 \cdot 6^{18}}$[/tex].

To simplify the given expression, we can apply the rules of exponents.

First, we raise 3 to the power of 3 and 6 to the power of 6, individually:

3^3 = 27 and 6^6 = 46656.

Next, we multiply these two values together:

27 * 46656 = 1259712.

Now, we raise the result to the power of -3:

1259712^(-3).

To simplify this expression, we can rewrite it as the reciprocal of the base raised to the positive exponent:

(1 / 1259712^3).

This can be further simplified by raising the base to the power of 3:

(1 / (1259712 * 1259712 * 1259712)).

Finally, we can simplify the expression by multiplying the denominators:

1 / (1954890816015872).


Related Questions

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,980 was collected on the sale of 1,236 tickets. How many of each type of ticket were sold?

Answers

Answer:

750 adult tickets

486 student tickets

Step-by-step explanation:

5 x 150=750 adult tickets

486 student tickets

Plz give brainliest  need 1 more

Roscoe traced around the bottom of a can to draw a circle. tell whether each statement about Roscoe 's circle is true. use 3.14 for pie

Answers

Answer with Step-by-step explanation:

a.If the circle has circumference of [tex]6\pi[/tex] in,then it has a diameter of 3 in.

Circumference of circle=[tex]6\pi[/tex]in

We know that

Circumference of circle=[tex]2\pi r[/tex]

Using the formula

[tex]6\pi=2\pi r[/tex]

[tex]r=\frac{6\pi}{2\pi}=3[/tex]in

Diameter of circle=[tex]2\times 3=6[/tex]in

It is false.

b.f the circle has diameter of 2 inches,then it has a circumference of 6.28 in.

Diameter,d=2 in

Circumference of circle=[tex]\pi d=3.14 \times 2=6.28[/tex]in

It is true.

c.If the circle has a circumference of [tex]2\pi[/tex]in then it has an area [tex]\pi[/tex] square inches.

Circumference=[tex]2\pi[/tex]in

[tex]2\pi r=2\pi[/tex]

[tex]r=\frac{2\pi}{2\pi}=1[/tex]in

Area of circle=[tex]\pi r^2=\pi(1)^2=\pi in^2[/tex]

It is true.

d.If the circle has a circumference of [tex]\pi[/tex]in then it has an area [tex]0.5\pi[/tex] square inches.

Circumference=[tex]\pi[/tex]in

[tex]2\pi r=\pi[/tex]

[tex]r=\frac{\pi}{2\pi}=\frac{1}{2}in[/tex]

Area of circle=[tex]\pi(\frac{1}{2})^2=0.25\pi in^2[/tex]

It is not true.

e.If the circle has a radius of 1.5 inches,then it has an area of 7.065 square inches.

Radius,r=1.5 in

Area of circle=[tex]3.14\times (1.5)^2=7.065in^2[/tex]

It is true.

Work out the percentage change when a price of £65 is decreased to £39.

Answers

Answer:

40% decrease

Step-by-step explanation:

Say the percent decrease is x%. Then, we can write the equation:

65 - x% * 65 = 39

Notice that 65 is a common factor of both terms on the left, so factor that out:

65 * (1 - x%) = 39

Divide by 65 on both sides:

1 - x% = 0.6

Subtract 0.6 from and add x% to both sides:

x% = 0.4

Remember that % simply means "out of 100", so x% = x/100:

x/100 = 0.4

Multiply by 100:

x = 40

So the percentage decrease is 40%, or the percent increase is -40% (whichever way the question asks).

Hope this helps!

Answer:

p = 40%

Step-by-step explanation:

65 - p%65 = 39

65 - 65p/100 = 39

6500 - 65p = 3900

6500 - 3900 = 65p

65p = 2600

p = 2600 : 65

p = 40%

What is the mean of the values in the stem-and-leaf plot?



Enter your answer in the box.



Key: 2|5 means 25

A stem-and-leaf plot with a stem value of 1 with a leaf value of 2, 3, 5, a stem value of 2 with a leaf value of 8 and 8, a stem value of 3 with a leaf value of 0, and a stem value of 4 with a leaf value of 2.

Answers

Answer:

mean = 24

Step-by-step explanation:

In a stem-and-leaf plot, each leaf represents a number or piece of data.

Each the leaf will only show the last digit of the number, and the stem will have the rest.

Examples:

stem value of 1 with a leaf value of 2 = 12

a stem value of 3 with a leaf value of 0 = 30

So, this is your plot:

Stems| Leaves

  1      |   2  3  5

  2     |   8  8

  3     |   0

  4     |   2

Your data is 12, 13, 15, 28, 28, 30, 42.

Add up all these numbers and divide by the number of leaves.

Sum of data = 12 + 13 + 15 + 28 + 28 + 30 + 42 = 168

Number of leaves = 7

168 ÷ 7 = 24

The mean is the values in the stem-and-leaf plot is 24.

Please help me with this I will mark you as brainliest!

Answers

Answer:

21, 42, 63, 84

Step-by-step explanation:

Numbers that have a star and a circle on them are all multiples of 3 and 7. As there are less multiples of 7 between 1-100 we should list the multiples of 7 and then check if they are also multiples of 3.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98

A quick way of calculating if a number is a multiple of 3 is to see if its digital root is either 3, 6, or 9

7 is not as 7 is not a multiple of 3

14 is not as 1+4 = 5 is not a multiple of 3

21 is, as 2+1 = 3 is a multiple of 3

28 is not, as 2+8 = 10 is not a multiple of 3

35 not, 3+5=8

42 is, 4+2=6

49 is not, 4+9=13

56 is not , 5+6=11

63 is, 6+3=9

70 is not, 7+0=7

77 is not, 7+7=14, 1+4=5

84 is, 8+4=12, 1+2=3

91 is not, 9+1=10 1+0 = 1

98 is not, 9+8=17, 1+7=8

What is the domain of this exponential function?

Answers

Answer:

Domain = x E R

Step-by-step explanation:

Since an exponential function has no restriction on the "x" value, its domain can range from anywhere on the plane of "x."

Please help me with this one!

Answers

Answer: 184

Step-by-step explanation: i looked

what is the third step when calculating mean absolute deveation

Answers

Answer:

Step 1: Calculate the mean. Step 2: Calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. Step 3: Add those deviations together. Step 4: Divide the sum by the number of data points.

Step-by-step explanation:

solve for x
if you do ill give brainliest

Answers

Answer:

x = 9

Step-by-step explanation:

6² = 4·x

36 = 4x

x = 36/4

x = 9

Answer: x=9

X/6= 6/4

Crosses multiply

4x=36

Divide by 4

X=9

Step-by-step explanation:

HELP PLEASE HELP I GIVE 10 POINTS

Answers

Answer:

The second one

Step-by-step explanation:

A linear function will always increase or decrease by the same amount:

The first one adds eight for every increase of 1 in the x value

The third one subtracts three for every increase of 1 in the x value

However,

The second one starts by adding three, and then adds 1.5 for the rest

The second table is nonlinear

Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to

maximize his profit, Mark should

O A. decrease his output.

OB. shut down his ranch.

O c. not change his output.

OD. increase his output.

O E. probably change his output, but more information is needed to determine if he should increase, decrease, or not change it.

Answers

Answer:

Answer is D. Increase his output.

Refer below.

Step-by-step explanation:

Mark owns a cattle ranch near Hugo, Oklahoma. Mark is currently producing beef at an output level where marginal revenue exceeds marginal cost. In order to

maximize his profit, Mark should increase his output.

A bag contains 4 red marbles and 1 yellow marble. What is the probability of drawing a red marble, then replacing that marble, then drawing a red marble again on the second pick?

Answers

Answer:

16/25

Step-by-step explanation:

We have 4 red marbles and a total of 4 + 1 = 5 marbles.

Probability is simply (# times a specific event can occur) / (# times any event can occur).

Here, the probability of drawing a red marble is: 4/5 (because there are 4 red marbles to choose from and a total of 5 marbles to choose from).

We replace the marble afterward, so the probability that the second pick is also red would still be 4/5.

Then, multiply the two fractions together: (4/5) * (4/5) = 16/25.

Hope this helps!

A line passes through the points (1,4) and (3,-4). Which is the equation of the line

Answers

Answer: y=-4x+8

Step-by-step explanation:

what is the value of w

Answers

Answer: 126 degrees

Formula number of sides -2 times 180 = total degrees for polygon

5-2=3x180= 540

Add the 78+132+137+67=414

540-414= 126

Step-by-step explanation:

A textbook store sold a combined total of 448 physics and biology textbooks in a week. The number of biology textbooks sold was 66 less than the number of physics textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

Step-by-step explanation:

448 - 66 = 382

448 physics books and 382 biology books

What is the slope of y=-x+7

Answers

Answer:

The slope is -1

Step-by-step explanation:

y=mx+b where m is the slope

y =-x+7 can be also be written as y=-1x +7

So therefore the number infront of x is considered the slope

-1

Answer:

Slope  m  =  −  1

Y-intercept  =  7

What are the domain and range of f(x) = 2|x – 4|? domain: x <= 2; range: (-infinity,infinity) domain: (-infinity,infinity); range: f(x)>= 0 domain:(-infinity,infinity); range: f(x) <= 0 domain: x>= 2; range: (-infinity,infinity)

Answers

Answer:

domain: (-infinity,infinity);

range: f(x)>= 0

Step-by-step explanation:

f(x) = 2|x – 4|

The domain is the input values or the values that x can take

We can use any value we want for x

Domain: -infinity to infinity

The range is the output values

Since it is an absolute value, the smallest value it can take is 0, it can increase as large as it wants

Range: 0, infinity

Alberts sixth grade class will have five test for social studies they already have two of Alberts grades for these two tests are shown below. If Albert wants the mean of his five tests to be 90 what could be his last three grades. Test 1 was an 85 Test two was a 100

Answers

Test scores could be 90,89,88

100+85+90+89+88= 452
452/5=90.4

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Daniel’s school is selling tickets to the annual talent show. On the first day of ticket sales, the school sold 8 senior citizen tickets and 8 child tickets for a total of $136. The school took in $138 on the second day by selling 9 senior citizen tickets and 4 child tickets. What is the price each of one senior citizen ticket and one child ticket?

Answers

Answer:

the answer is 17

Step-by-step explanation:

You divide 8 and 136 and get 17, you multiply 17 and 8 to double check your answer, Hope this helps :P!

The correct answer would be 17.

The garden bed has a width of 1.5 meters and an area of 6 square meters . Which Equation and Solution correctly represent x , the length , in meters , of the rectangular garden bed

Answers

Answer: The answer is 4!

6/1.5= 4

ax2 + bx + c
Factor the trinomial 7x2 – 3x – 4.
Which pair of numbers has a product of ac and a sum
of b?
ac
What is the factored form of the trinomial?

Answers

Answer: (7x + 4)(x - 1)

Step-by-step explanation:

7x^2 - 3x - 4

ax^2 = 7x^2

bx = -3x

c = - 4

4 x -7  =  -28

4 + -7  =  -3

4 and -7 are the number which ahs the product of ac = -28 and b = -3.

factored form : [tex]7x^{2} - 7x + 4x - 4[/tex]

                      = [tex]7x(x - 1) + 4(x - 1)[/tex]

                      = [tex](7x + 4)(x - 1)[/tex]

Answer:

1. -7 and 4

2. (7x + 4)(x - 1)

what is the radius of the cone ? I need help

Answers

Answer:

4

Step-by-step explanation:

pi*r^2

just put each number where r is to find out the answer

Any help? Will mark you as brainliest for the correct answer

Answers

Answer:

see explanation

Step-by-step explanation:

Given that 40 people liked cats, that is 20 women and 20 men

Then the dual bar representing 20 is made up of 4 frequency bars

Then each frequency bar represents 20 ÷ 4 = 5 people

Thus

dogs = 25 (men) + 30 (women) = 55

hamster = 15 ( men) + 5(women) = 20

other = 10(men) + 15(women) = 25

Favourite pet frequency table

favourite pet     frequency

    cat                      40

    dog                     55

   hamster               20

     other                  25

A total of 40 + 55 + 20 + 25 = 140

       

Solve for x
Your answer must be simplified.
x/-6 ≥−20

Answers

Answer: x ≤ 120

Step-by-step explanation: To get x by itself in this inequality, since it's being divided by -6, we must multiply both sides by -6 just like we would if we were solving an equation.

But here is the trick you have to

watch out for with inequalities.

When you multiply or divide both sides of an inequality by a

negative, you must switch the direction of the inequality sign.

So our second step in this problem reads x ≤ 120.

Please give this idea your full attention. Even the most advanced algebra students will sometimes forget to switch the direction of the inequality sign when multiplying or dividing both sides of an inequality by a negative.

I need help with this ASAP

Answers

Answer:

60 degrees

Step-by-step explanation:

These two shapes are similar, which means that their corresponding angles are congruent.

Angle L corresponds to angle X. We know that <L = 60, which means that <X is also equal to 60.

Thus, the answer is 60 degrees.

Hope this helps!

Answer:

60°

Step-by-step explanation:

The two figures are similar and they have the same distribution of angles.

Angle X corresponds to Angle L = 60°

It takes Carol 45 minutes to drive to work using two roads. She drives 24 mph on a small road for hour. Then she drives 56 mph on a highway for hour. How far does Carol travel to work?

Answers

Answer:

She travels 30 miles for work.

Given,

Total time = 45 minutes

Speed on small world = 32mph

Time on small world = 1/2 hour

Distance = Speed * time =

Distance on small world = 16 miles

Speed on small road = 56mph

Time on small road = 1/4 hour

Distance on small road =

Distance on small road = 14 miles

Total distance = Distance on small world + Distance on small road

Total distance = 16+14= 30 miles

She travels 30 miles for work.

Keywords: Distance, speed

Step-by-step explanation:

Final answer:

Carol travels 12 miles on the small road and 28 miles on the highway, totaling 40 miles to get to work.

Explanation:

The question asks us to calculate the total distance Carol travels to work using two different speeds on two different roads. To solve this problem, we use the formula d = vt, where d represents distance, v is velocity (or speed), and t is time.

On the small road, Carol drives at 24 miles per hour for half an hour (0.5 hours). Therefore, the distance traveled on the small road is:

d = (24 miles/hour)(0.5 hours) = 12 miles

On the highway, she drives at 56 miles per hour for half an hour (0.5 hours) as well. The distance traveled on the highway is:

d = (56 miles/hour)(0.5 hours) = 28 miles

To find the total distance, we add the distances from both roads:

Small road: 12 milesHighway: 28 miles

Total distance = 12 miles + 28 miles = 40 miles

Carol travels a total of 40 miles to get to work.

Which equation represents:

"An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."

A) x2 + xy + 100 = 0
B) x2 + xy − 100 = 0
C) x2 − xy + 100 = 0
D) x2 − xy − 100 = 0

Answers

Answer:

  D) x² − xy − 100 = 0

Step-by-step explanation:

You want an expression for "An unknown integer, multiplied by the unknown integer minus a different unknown integer, equals 100."

Setup

Let x represent the unknown integer, and y represent the different unknown integer. Their difference will be (x -y). When that is multiplied by x and the result equal to 100, we have ...

  x(x -y) = 100

Simplify

Eliminating parentheses using the distributive property, we have ...

  x·x -x·y = 100

  x² -xy = 100

Subtracting 100 gives an expression equal to zero:

  x² -xy -100 = 0 . . . . . . . matches choice D

Please help !!!!!
I need it asap

Answers

Answer:

just do your homework

Step-by-step explanation:

Answer:

answer is the page is to blurry for my windows 95 can you make it into a better picture so i can help

Step-by-step explanation:

Find all constants α such that the vectors (α, 4) and (α, 5) are parallel.

Answers

Answer:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

Step-by-step explanation:

Vectors are parallel to each other if:

[tex]\vec u = \beta \cdot \vec v[/tex]

[tex](\alpha_{2}, 5) = (\beta\cdot \alpha_{1}, \beta \cdot 4)[/tex]

The value of [tex]\beta[/tex] is:

[tex]\beta = \frac{5}{4}[/tex]

Then, the following relationship is found:

[tex]\alpha_{2} = \frac{5}{4}\cdot \alpha_{1}[/tex], for all [tex]\alpha_{1} \in \mathbb{R}[/tex]

A construction company purchased seven house lots of the following sizes:
1 ⅜ acres, 2 ⅛ acres, l ⅛ acres, l ¾ acres, and 2 ¼ acres. What is the range of these
lot sizes?_


Answers

Answer:

between 1 1/8 acres and 2 1/4 acres

Step-by-step explanation:

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All BUT ONE describes the results of economic growth and how it may possibly have a negative influence on citizens overall well bring.A)Commuters traveling to work as well as traffic jams may increase as more people are driving to their jobs.EliminateB)Appropriate housing for all citizens within the country, thereby reducing the number of homeless people living on the streets.C)Increased need for food results in the growth of the agricultural industry and an increased use of pesticides and herbicides to produce food crops.D)In North Dakota. the economy has doubled in the past 25 years thanks to the oil boom. Incomes have risen, but so have prices, traffic, crime, and housing shortages. Why do historians call it the Age of Exploration instead of the Age of Discovery? The Missouri Compromise allowed Missouri to enter the Union as a slave state and Maine to enter as a free state, plus allowed that future states north of the southern border of Missouri would enter as free states.A. TrueB. 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