Use prime factorization to find the exponent. Show all of your work in good form.

625 as a power of 5
343 as a power of 7
216 as a power of 6
169 as a power of 13
256 as a power of 4; as a power of 2
729 as a power of 9; as a power of 3

The value of 3 in 5.53 is 3 hundredths.

It is important to note that place values can be defined as the value that's represented by a digit based on the position that it takes. In mathematics, place value refers to the position or location of a digit in a number.

Each digit has a specific place in a number. The position of each digit will be expanded when we represent the number in general form. Those positions begin with a unit place, also known as one's position.

In this case, we want to know the value of 3 in 5.53. It should be noted that the first 5 is 5 ones, the second 5 is 5 tenths and the 3 is 3 hundredths.

Therefore, it's 3 hundredths.

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Complete question

What is the value of 3 in 5.53?

The ordered pair coordinates of A' are (2, -6) if A is reflected over the y-axis.

The transformation, or f: X → X, is the name given to a function, f, that maps to itself. After the transformation, the pre-image X becomes the picture X. Any operation, or a combination of operations, such as translation, rotation, reflection, and dilation, can be used in this transformation. A function can be moved in one way or another using translation, rotation, reflection, and dilation. A function can also be scaled using rotation around a point.

The coordinates of A are (-2, -6).

Point A is reflected over the y- axis to create point A'

(x, y) → (-x,y)

A (-2, -6) → A' (- (-2), -6))

So, the coordinates of A' are (2, -6).

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Answer:

-1,-2

Step-by-step explanation:

get the x and y value and combine the coordinates using the slope formula

Answer: The competing restaurant

Step-by-step explanation:

If you divide the 4.52 by 2 you get 2.26 for the first restaurant's unit price

If you divide the 9.44 by 2 you get 2.36 for the second restaurant's unit price

Hope this helps :)

We use Inferential Statistics is used to estimate how likely it is that a statistical result based on data from a random sample is representative of the population.

Given that;

What kind of statistics is used to gauge the likelihood that a statistical finding based on information from a random sample is representative of the population the sample is presumed to have been drawn from?

Inferential Statistics:

You attempt to conclude using inferential statistics that go beyond the immediate facts alone. For instance, we use inferential statistics to try to infer what the population would think from the sample data. Alternately, we utilize inferential statistics to assess the likelihood that an observed difference between groups in this study is a reliable one or one that may have occurred by chance. Descriptive statistics are used to simply describe what's happening in our data, while inferential statistics are used to conclude more general conditions from our data.

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The time in hours for the Tran family's sprinkler will be 30 hours.

The time in hours for the Campbell family's sprinkler will be 35 hours.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The water output rate for the Tran family's sprinkler was 35 L per hour.

The water output rate for the Campbell family's sprinkler was 25 L per hour.

And, The families used sprinklers for a combined total of 65 hours, which is resulting in a total water output of 1925 L.

Now,

Let time in hours for the Tran family's sprinkler = t

And, The time in hours for the Campbell family's sprinkler = 65 - t

So, We can formulate by the given condition,

⇒ 35t + 25 (65 - t) = 1925

Solve for t as;

⇒ 35t + 25 (65 - t) = 1925

⇒ 35t + 1625 - 25t = 1925

⇒ 10t + 1625 = 1925

⇒ 10t = 1925 - 1625

⇒ 10t = 300

⇒ t = 30

Thus, The time in hours for the Tran family's sprinkler = t

                                                                                   = 30 hours

And, The time in hours for the Campbell family's sprinkler = 65 - t

                                                                                          = 65 - 30

                                                                                          = 35 hours.

Therefore, we get;

The time in hours for the Tran family's sprinkler will be 30 hours.

The time in hours for the Campbell family's sprinkler will be 35 hours.

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Answer:

f(1) = -2

Step-by-step explanation:

f(1) = -(1) - 1

f(1) = -1 - 1

f(1) = -2

The partners are assigned in the form of (1, 15) (2, 14) (3, 13) (4, 12) (5, 11) (6, 10)  (18, 7) (17, 8), and (16, 9).

A square number, also known as a perfect square, is an integer that is the square root of another integer, or the result of multiplying another integer by itself.

For example:

Square of 2 = 4

Square of 3 = 9

Square of 4 = 16

Here we have  

A science class is pretty small

There are just 18 students in the class.

The teacher gave each of them numbers from 1 through 18 on lab days

Start from 1 and find by adding which number we will get a square number

Here  1 + 15 = 16

2 + 14 = 16

3 + 13 = 16

4 + 12 = 16

5 + 11 = 16

6 + 10 =16

After the above combinations, the remaining numbers are

7, 8, 9, 16, 17, 18          

which can be added as given below to get square number 25  

=>  18+7=25

=>  17+8=25

=>  16+9=25  

Therefore,

The partners are assigned in the form of (1, 15) (2, 14) (3, 13) (4, 12) (5, 11) (6, 10)  (18, 7) (17, 8), and (16, 9)  

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Answer:

24

Step-by-step explanation:

give me brainliest pls

The other three measures are:

This, I assume, refers to two lines that cross and create four angles.

The same applies to angles 2 and 4 since angles 1 and 3 are vertical angles.

Since vertical angles are congruent in measure, it is simple to determine their measurements.

Hence, the three measures are:

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Answer:

  a) 6 7/8 days

  b) 105 miles

Step-by-step explanation:

Given that L(d) = 209 -8d miles of road remain to be paved after d days, you want to know (a) the number of days paving if 154 miles remain, and (b) remaining miles after 13 days.

We want to find d such that L(d) = 154.

  L(d) = 154

  209 -8d = 154 . . . . . . substitute for L(d)

  209 -154 = 8d . . . . . add 8d-154

  55/8 = d = 6 7/8 . . . divide by 8

The crew has been paving for 6 7/8 days if 154 miles remain.

After 13 days, the remaining miles will be ...

  L(13) = 209 -8·13 = 209 -104

  L(13) = 105

After 13 days, the crew has 105 miles left to pave.

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hello, i'm sorry but i can't graph the diagram but here are the answers for a-c :)

A. 8%

B. 39.6%

C. 58.4%

step by step:

A. Calculation to determine the probability of The voter had a college degree and voted in the last presidential election.

P = 80/1,000

P=0.08*100

P=8%

Therefore the probability of The voter had a college degree and voted in the last presidential election will be 8%

B. Calculation to determine the probability of The voter did not have a college degree and did not vote in the last presidential election.

P =396/1000

P=0.396*100

P=39.6%

Therefore the probability of The voter did not have a college degree and did not vote in the last presidential election will be 39.6%

C. Calculation to determine the probability if The voter voted in the last presidential election.

P = 584/1,000

P=0.584*100

P=58.4%

Therefore the probability if The voter voted in the last presidential election will be 58.4%

The height of the poster is 20 inches.

The original width of the poster was 6 inches. The original height of the poster was 4 inches. The size of the poster is scaled up. This is a transformation of the size of the poster. The width of the scaled-up poster is 30 inches. We need to find out the height of the scaled-up poster.

The scaling transformation preserves the shape of the object. This means the sides must still be in the same proportion. Let the constant of proportionality be represented by the variable "k".

30 = k*6

k = 30/6

k = 5

Hence, the poster is scaled up by a factor of five.

H = k*4

H = 5*4

H = 20

Hence, the height of the scaled-up poster is 20 inches.

The complete question is given below.

Amir wants to scale up a photo to create a poster for his room. The original picture is 6 inches in width and 4 inches in height. What will be the height of the poster if its width is 30 inches?

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The inequality used to represent games at carnival is 9g - 207.35 > 100

The solution is g > 34.15

Information gotten from the question include

Games at the carnival costs $9 each

The prizes awarded to the winners costs the owner $207.35

How many games must be played for the owner to make more than $100 = ?

Using g as variable which is the number of games to be played we have

total amount gotten from games = 9 * g

prizes of winners = 207.35

The inequality equation as described in the problem is represented using linear function as as follows

9g - 207.35 > 100

for the owner to make more than 100 we have the equation

total amount gotten from games - prizes of winners > 100

9g - 207.35 > 100

100 + 207.35 < 9g

9g > 307.35

g > 34.15

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The first five terms of the given sequence are a₁ = 50, a₂ = 25, a₃ = 12.5, a₄ = 6.25 and a₅ = 3.125.

In a geometric sequence the ratio of any two consecutive terms are equal. This ratio is known as the common ratio of the sequence.

Given that,

a₁ = 50 and aₙ = aₙ₋₁ ÷ 2

The first five terms are a₁, a₂, a₃, a₄  and a₅.

All the terms can be written using  aₙ = aₙ₋₁ ÷ 2 as follows,

a₂ = a₁ ÷ 2

⇒ a₂ = 50 ÷ 2

⇒ a₂ = 25

a₃ = a₂ ÷ 2

⇒ a₃ = 25 ÷ 2

⇒ a₃ = 12.5

a₄ = a₃ ÷ 2

⇒ a₄ = 12.5 ÷ 2

⇒ a₄ = 6.25

a₅ = a₄ ÷ 2

⇒ a₅ = 6.25 ÷ 2

⇒ a₅ = 3.125

Hence, the first five terms are 50, 25, 12.5, 6.25 and 3.125 respectively.

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The upper limit is 0.79

The class interval's upper limit is its highest value. Similarly, the lower limit is the class interval's smallest value.

Given that n = 200 and standard deviation  σ = 0.025

σ = (√n/√n)  = 0.025

Now calculate p

P = defectives/total inspected

= 145/200

P = 0.72

Q= 1-p

= 1- 0.72

= 0.18

Now calculate the upper limit

UCL = p – (-3 x σ)

= 0.72 – ( -3 x 0.025)

= 0.72 – (-0.075)

= 0.72 + 0.075

= 0.795

= 0.79

Therefore the upper limit is 0.79

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The distance between -2 and 3 on a number line is 5 units.

What is a number line?

A horizontal line with evenly spaced numerical increments is referred to as a number line. The number on the line depends on how the number is contained.

The Distance Between Two Points on a number line.

The secret to finding the distance between two points is to remember that the geometric definition of subtraction is the distance between the two integers if we subtract the smaller number from the larger one.

Here, we have

the distance between -2 and 0 is 2 units

the distance between 0 and 3 is 3 units

2+3 = 5

OR

3- (-2) =

3+2 = 5

5 units

Hence, the distance between -2 and 3 on a number line is 5 units.

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Answer: D

Step-by-step explanation:

Take the equation and substitute the variables for the numbers given

-7(-4-4(-6))=-140

Hope this helps :)

Answer:

Step-by-step explanation:

Area of a rectangle is given by the formula :

A = L × W

Substituting 90 with A , x with W and (x+3) with L, we get :

90 = (x+3)×x

Simplifying the right side by expanding the bracket :

x(x+3) =

x²+3x
90=x²+3x

Now we can make a quadratic by subtracting both sides by 90 :

x²+3x-90 =0

I'm not sure about the rest

Answer:

[tex]4 \frac{23}{40}\; \rm miles[/tex]

Step-by-step explanation:

To find how many more miles Ada lives from her grandmother's house than her aunt's house, we need to subtract the distance to her aunt's house from the distance to her grandmother's house.

Ada lives 17 3/8 miles from her grandmother's house.

Ada lives 12 4/5 miles from her aunt's house.

Convert both mixed numbers into improper fractions by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

[tex]17 \frac{3}{8}=\dfrac{17 \cdot 8+3}{8}=\dfrac{139}{8}[/tex]

[tex]12 \frac{4}{5}=\dfrac{12 \cdot 5+4}{5}=\dfrac{64}{5}[/tex]

As both improper fractions have a different denominator, we need to change both fractions into equivalent fractions with the same denominator. To do this, find the least common multiple (LCM) of the denominators, 8 and 5.

The LCM of 8 and 5 is 40. Therefore, convert the fractions into their equivalent fractions (with 40 as their denominator) by multiplying the numerator and denominator by the same number:

[tex]\dfrac{139}{8}=\dfrac{139 \cdot 5}{8 \cdot 5}=\dfrac{695}{40}[/tex]

[tex]\dfrac{64}{5}=\dfrac{64 \cdot 8}{5 \cdot 8}=\dfrac{512}{40}[/tex]

Now the fractions have the same denominator, we can carry out the subtraction by simply subtracting the numerators:

[tex]\dfrac{695}{40}-\dfrac{512}{40}=\dfrac{695-512}{40}=\dfrac{183}{40}[/tex]

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

[tex]183 \div 40=4\;\rm remainder \;23[/tex]

The mixed number answer is the whole number and the remainder divided by the denominator:

[tex]4 \frac{23}{40}[/tex]

Therefore, Ada lives 4 23/40 miles more from her grandmother's house than her aunt's house.

Answer:

10 days

Step-by-step explanation:

The coordinates of A'', applying the two rotations, are given as follows:

A'' (4, 3).

A rotation is one example of transformation that a function can undergo, in which the congruence and similarity of the images are kept but the orientation of the image changes.

The rules for each possible rotation are given as follows:

The original coordinates are given as follows:

A(-3,4).

After the first 180º clockwise rotation, the coordinates are:

A'(3,-4).

(signals exchanged)

After the final rotation, the 90º counterclockwise rotation, the coordinates of A'' are given as follows:

A'' (4, 3).

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Each section of a highway has length of 1.5 miles.

In this question, Ms. Galindo’s class has adopted two equal sections of a highway to keep clean.

We need to find the length of each section.

Let each section measures x mile.

The combined length of the two sections is 6/8 of a mile.

So, we get an equation x + x = 6/8

We solve above equation to find the value of x.

2x = 6/8

x = (6/8) / 2

x = 6/4

x = 1.5

Therefore, each section of a highway has length of 1.5 miles.

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The equation of a line parallel to 6x + y = -8 that passes through the point (7, 7) is y = -6x + 49

The equation of the parallel line is given

6x + y = -8

y = -8 -6x

y = -6x - 8

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Comparing the equation

Slope of the line m = -6

The slope of the all the parallel lines will be equal

Then line is passing through the point (7, 7)

The point slope form is

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

Substitute the values in the equation

y-7 = -6(x-7)

y - 7 = -6x + 42

y = -6x +42 +7

y = -6x + 49

Hence, the equation of a line parallel to 6x + y = -8 that passes through the point (7, 7) is y = -6x + 49

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Answer: D

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

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

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, 8) and (x₂, y₂ ) = (10, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-8}{10-1}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

27

Step-by-step explanation:

The cat weighs 7 kg.

The rabbit weighs 3 kg.

The dog weighs 17 kg.

You can check these answers by adding them together.

A cat plus the rabbit is 10 kg.

The rabbit and the dog is 20 kg.

The dog and cat is 24 kg.

Answer:I think is am B

Step-by-step explanation:

Step-by-step explanation:

(5x)°+(3x+4)°=180°

5x+3x+4=180

8x=176

x=22

D=5x

D=110°