dilation a triangle QRS with center T and scale factor 2

The expression written as a single power(exponent) is 9⁶ .

Exponentiation, abbreviated as bⁿ, is a mathematical process that involves the base number (b) and the exponent (or power) number (n). The word is pronounced "b (elevated) to the (power of) n."

the given expression is of the form:

9⁶÷9³

Which is equivalent to:

9⁶⁻³ (properties of exponents)

this is equal to 9⁶ .

The value of the expression is 9⁶ .

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Using a proportional relationship, the expression that represents the net change to Callie’s account balance each month is:

y = -104.12x.

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality k, in the case of a direct relationship, as presented as follows:

y = kx

In this problem, we have that she is billed $416.48 in 4 months, hence the monthly payments are given as follows:

k = 416.48/4

k = 104.12.

This is the amount taken away from the account each month, hence the constant is negative and the expression is given as follows:

y = -104.12x.

Callie was billed $416.48 for car repairs. She will pay the service center in 4 equal monthly installments from her bank account. What is the net change in her bank account balance after each monthly payment? Complete the steps below to solve this problem and others like it.

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Answer: it’s 0.1% there’s no precent for it that’s greater than 100 but less than 1

Step-by-step explanation:

The constant rate of change for an ear of corn at the grocery store is $0.30.

The constant rate of change describes the slope of a linear relationship.

The constant rate of change is the constant ratio of the output to the input in the function.

We can compute the constant rate of change by forming a set of simultaneous equations from the given variables.

Total Costs of Ears of Corn:

5 ears = $1.50 ... Equation 1 = 5c = $1.50

8 ears = $2.40 ... Equation 2 = 8c = $2.40

Subtract Equation 1 from Equation 2:

Difference = 3c = $0.90 ($2.40 - $1.50)

c = $0.30 ($0.90/3)

Constant rate of change = $0.30

Thus, the constant rate of change implies that each ear of corn at the grocery costs $0.30.

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ANSWER :

The answer is :

EXPLANATION :

From the problem, we have :

The whole numbers will be added directly.

For the fraction part, the numerator is added and the denominator will stay the same.

That will be :

Answer:

?

Step-by-step explanation:

what are the steps and I can help you

The value of y = 12.

Given,

m ∠ABC = 40° and BD is the angle bisector of ∠ABC.

To find the value of y=?

Now, According to the figure,

For value x, (Adjacent angles)

3x - 1 = 34 - 2x

3x + 2x = 34 +1

5x = 35

x = 7

And, For value of y ,

A and C are altitude

3y +6 =  5y - 18

3y - 5y = -18 - 6

-2y = -24

y = 12

Hence, The value of y = 12.

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The correct representation of the function with point ( 4, 5 ) is f(4) = 5.

A function called f is defined by the notation y = f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

A mathematical statement known as an equation demonstrates the equality of two mathematical expressions.

Now a point on the graph is ( x, y ).

Consider the point ( 4, 5 ),

Then. x = 4 and y = 5.

So, the correct representation of a function will be:

y = f(x)

5 = f(4)

Therefore the correct representation of the function is (c) f(4) = 5.

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The measure of the unknow angle is as follows;

When parallel lines are cut by a transversal lines, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, line m and n are the parallel lines while the transversal line is line t.

Therefore, ∠7 is an alternate exterior angle to the angle 47 degrees.

Alternate exterior angles are congruent.

Therefore,

∠7 = 47 degrees.  

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Answer:y=2x−6

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

3x+5+2x-5 = 180 ( being linear pair)

5x = 180

x= 36

It is important to know that the definition of the parabola is

Where p represents the focus coordinate, so p = 3. Also, we know that y = 12, let's find x

But, the wide of the lamp is 2x, so

The shortest straights path for run to get back to the starting line will be;

⇒ √40

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

Runners at cross country meet run 6 miles east and again 2 miles south from the starting line.

Now,

We can apply the Pythagoras theorem to find the shortest straights path.

Hence,

Shortest straights path. = √6² + 2²

                                    = √36 + 4

                                    = √40

Thus, The shortest straights path for run to get back to the starting line will be;

⇒ √40

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Answer: square root of 40

Step-by-step explanation:

did the quiz!

Answer:

[tex]g(x)=|x-2|+10[/tex]

Step-by-step explanation:

Translations

[tex]f(x+a) \implies f(x) \: \textsf{translated $a$ units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated $a$ units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated $a$ units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated $a$ units down}[/tex]

Given absolute value function:

[tex]f(x)=|x|[/tex]

To translate the given function 2 units to the right, subtract 2 from the x-value:

[tex]\implies f(x-2)=|x-2|[/tex]

Then to translate the given function 10 units up, add 10 to the function:

[tex]\implies f(x-2)+10=|x-2|+10[/tex]

Therefore, the function that translates the function f(x) = |x| to the right 2 units and up 10 units is:

[tex]\large\boxed{g(x)=|x-2|+10}[/tex]

There is 0.009% probability that Casper broke the dish.

Firstly we will calculate the probability of bussing the table by each person.

Probability of bussing tables by Alonzo = 55%

Probability = 0.55

Probability of bussing tables by Bob = 15%

Probability = 0.15

Probability of bussing tables by Casper = 30%

Probability = 0.3

Now calculating the probability of breaking the dish by each person

Probability of breaking dish by Alonzo = 5%

Probability = 0.05

Probability of breaking dish by Bob = 2%

Probability = 0.02

Probability of breaking dish by Casper = 3%

Probability = 0.03

The phenomenon of bussing of tables and breaking the dish is independent. So, probability will be calculated by the formula -

P (A and B) = P (A) × P (B)

P (Casper of bussing the table and breaking the dish) = Probability of bussing tables by Casper × Probability of breaking dish by Casper

Keep the values

P (Casper of bussing the table and breaking the dish) = 0.3 × 0.03

Performing multiplication

P (Casper of bussing the table and breaking the dish) = 0.009

Hence, probability is 0.009%.

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A cardboard box in the shape of cube has volume of 400 cubic inches, then the length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.

Based on the given conditions,

A cardboard box in the shape of cube has volume of 400 cubic inches.

One side of the box  = s inches

Given expression,

[tex]s^{3}[/tex] = 400

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

So,

We can write,

[tex]s^{3}[/tex] = 400

s = [tex]\sqrt[3]{400}[/tex]

We can express 400 as 2 × 2 × 2 × 2 × 5 × 5

That is,

[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{2*2*2*2*5*5}[/tex]

[tex]\sqrt[3]{400}[/tex] = [tex]\sqrt[3]{(2*2*2)*2*5*5}[/tex]

[tex]\sqrt[3]{400}[/tex] = [tex]2*\sqrt[3]{50}[/tex]

[tex]\sqrt[3]{400}[/tex]  = 7.36806.

[tex]\sqrt[3]{400}[/tex] ≅ 7.4

Hence,

The value of the cube root of 400 is 7.36806 inches

Therefore,

The length of one side box is 7.36806 inches, and the nearest length is 7.4 inches.

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Answer: 1170 towels

Step-by-step explanation:

Let x be the no. of towels that can be made in a month

The equation for total cost then becomes,

3020 = 1850 + 1x
1170 = 1x

x = 1170 towels

The length of the fence that corresponds to the cost of fencing respectively is =

Length of fencing (ft): 2, 8, 5, 7, 10

Cost of fencing ($): 18, 72, 45, 63, 90.

Length is defined as the measurement of how long a figure or structure is which is usually measured meters, centimetres or feets.

The cost of every 2 feets of the fence Heather is building is = $18

If 2ft = 18

8ft = ×

Make X the subject of formula,

X = 8 × 18/2

X= 4×18 = $72

If 2ft = 18

5ft = ×

Make X the subject of formula,

X = 5 ×18/2

X = 5×9

X = $45

If 2ft = 18

7 ft = ×

Make X the subject of formula,

X = 7× 18/2

X = 7× 9=$ 63

If 2ft = 18

10ft = X

Make X the subject of formula,

X = 10 × 18/2

X= 10× 9

X = $90

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The number that is a factor of 40 and when you pair it with 15 you have an LCM of 15 is; 5

LCM in mathematics simply means Least Common Multiple which is defined as the least common multiple of two numbers is the very lowest possible number that is divisible by both numbers.

Now, we are told that it is a factor of 40. Let us first list the factors of 40.

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Now, since you will pair it with 15, the number also has to be a factor of 15 because only a number that is a factor of 15 can have 15 as a multiple.

Factors of 15 are; 1, 3, 5, 15

Now, the only number that is common to both 40 and 15 are 1 and 5. However we are told that it is not 1. Thus, the number is 5.

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Answer:

40x

Step-by-step explanation:

4x10x

=

40x

Answer:4x+50?

Step-by-step explanation:

4(10+x)

Simplified into 50+4x

So basically 4x+50

The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are

The function is

p(t)=4+2(t−1)

We know the nth term of the arithmetic sequence is

an = a + (n-1)d

By comparing the nth term of the arithmetic sequence and the given function

The first term a = 4

The common difference d = 2

The value of n = t

Hence, the function p(t)=4+2(t−1) represents the number of people who can be seated at an event. Then the correct statements are

The complete question is :

The function The function p(t)=4+2(t−1) represents the number of people who can be seated at an event. The total of t tables are arranged in a certain way.

Select EACH correct statement about the scenario.

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Answer:

Yes she did!

Step-by-step explanation:

1000g = 1kg
meaning
1100 / 1000 = 1.1kg

The coordinates of vertex A' is (4,4).

It is given in the question that:-

A triangle ABC with vertices:-

A (-4,4),

B (-2,4) and,
C  (-5,2).

We have to find the coordinates of vertex A' if triangle ABC is reflected across the y-axis to produce the image triangle A'B'C'.

If triangle ABC is reflected across the y-axis to produce the image triangle A'B'C' , it will be a mirror image of triangle ABC.

Hence, if the x coordinate is x then its image will be -x whereas the y -coordinate will remain the same.

Hence, the image of A (-4,4) will be A'(4,4).

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Ax + By = C is the standard form of the line equation, where A and B are constants.

As a result, a linear equation with x and y variables has the standard form: Ax + By = C, in which A, C and B are constant.

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Answer:

The answer is -576

Step-by-step explanation:

-24×+24

–×+= –

-24×24= -576

 A line's slope is a measurement of how steep a line is. Slope is calculated by dividing the change in y values by the change in x values.

  A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

Slope is a measure of the steepness of a line.

Slope = rise / run = Δy / Δx.

Slope= Δx /Δy = 4−0 /2−5 = 4 / −3

​Slope from two points, for instance

We are informed that there are two possible solutions to a particular linear equation:

Solution: x = 11.4, y = 11.5, x = 11.4, y = 11.5, space, space, space, y = 11.

Answer: x=12.7 y=15.4 x=12.7 y=15.4

Slope=

Δx / Δy  =  12.7−11.4 /15.4−11.5

=  1.3 /3.9

= 13 /39

=3.

The line has a 333 slope.

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