What will the new demensions of the rectangle below be after a dilation within scale factor of 9\4

Answer:

not ennough information to answer the question

Step-by-step explanation:

Explanation

The formula for the Amount based on compound interest is given as:

Since the principal is compounded annually, therefore n =1. Also, P = principal = $7000, ratte = r = 8%, t= time

Hence when t = 1 year

Answer A: $7560

When t = 2 years

Answer B: $8164.8

Explanation

Area:

Answer:

See below

Step-by-step explanation:

The MONTHLY payment for each loan is just the interest and principal paid for each month

I just used the first line of each amortization:

First one  26 + 196 = $ 222 per month

Second one 26 + 127 = $ 153 per month

     Sorry if the numbers are incorrect....the image is very fuzzy....

           but this is the method for the answer .

For the linear regression the dependent and independent variables are:

y: "weight of a woman" (measured in pounds)

x: "height of a woman" (measured in inches)

You have to calculate the estimated linear regression equation:

Where

b₀ is the estimate of the y-intercept

b₁ is the estimate of the slope

To calculate both by hand you have to use the following formulas:

y bar and x bar are the sample means for the weight and height

n is the number of women observed, in this case the sample size is

n=5 women

Next calculate the needed summatories, i.e. add each obervation from the corresponding variables

∑xi= 335

∑xi²= 22455

∑yi=670

∑xiyi=44962

ybar=∑yi/n= 670/5=134 pounds

xbar=∑xi/n= 335/5=67 inches

Replace the values in the formulas:

Slope:

y-intercept

The estimated linear equation is:

y=-348.4+7.20x

b)

The y-intercept of the linear regression indicates the value of the estimated mean of the variable y when x equals zero.

The slope of the linear regresion insicates the change of the estimated mean of the variable y when the variable x increases one unit.

So in terms of this exercise you can interpret the y-intercept as:

-348.4pounds is the estimated average weight of women when their height is zero inches.

→ Note that this interpretation has no logical meaning, at least not one applicable in real life, but for the regression is a valid mathematical result and interpretation.

And the slope can be interpreted as:

7.2pounds/inches is the modification of the estimated average weight of weomen when their height increases 1 inch.

The general equation forms representing growth or decay is;

So let us consider the equations;

a) f(t) = 30(1.04)^t

f(t) = 30(1+0.04)^t

It is growth as it is greater than 1 and the growth rate is 0.04 = 4/100 = 4%

b) p(x) = 30(0.65)^x

P(x) = 30(1-0.35)^x

it is decay as it is less than 1

Growth rate is 0.35 = 35/100 = 35%

c) A(x) = 30(1.10)^x

A(x) = 30(1 + 0.1)^x

it is growth as it is greater than 1

0.1 = 10/100 = 10%

d) h(t) = 30(0.98)^t

h(t) = 30(1-0.02)^t

It is decay since it is less than 1

growth rate is;

0.02 = 2/100 = 2%

e) s(t) = 30(0.77)^t

s(t) = 30(1-0.23)^t

it is decay as it is less than 1

0.23 is growth rate = 23/100 = 23%

f) B(t) = 30(1.2)^t

B(t) = 30(1+0.2)^t

It is growth since it is greater than 1

0.2 = 20/100 = 20%

Step-by-step explanation:

volumes of liquor because these are the ones which have volume and cm can be changed to millimeters

When two decimal numbers are added, the result is precise to the one that has the least precision.

For example,

0.51 + 6.1

Here 0.51 is precise to the hundredth place and 6.1 is precise to the tenth place.

So, the result will be precise to the tenth place since this was the least precision in the operation.

0.51 + 6.1 = 6.6

The equation of the line in slope intercept form is y = 3/2x + 19

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are

Slope, m = 3/2

Points, (x1, y1) = (-10, 4)

A linear equation is represented as

y = slope * x + y-intercept

i.e.

y = m(x - x1) + y1

So, we have

y = 3/2(x + 10) + 4

Expand

y = 3/2x + 15 + 4

Evaluate the like terms

y = 3/2x + 19

Hence. the linear equation is y = 3/2x + 19

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The measure of all the three angles of a triangle will be 45°, 57° and 78° respectively.

What is Triangle?

A triangle is a three sided polygon , which has three vertices and three angles, whose sum is equal to 180 degree.

Given that;

The sum of measures of the angles of a triangle is 180.

The sum of the measures of the second and third angles is three times the measure of the first angle.

The third angle is 21 more than the second.

Now,

Let the measures of all the three angles are x , y and z.

Since, The sum of measures of the angles of a triangle is 180.

So, we can formulate;

x + y + z = 180°   .... (i)

The sum of the measures of the second and third angles is three times the measure of the first angle.

So, we can formulate;

y + z = 3x   ... (ii)

The third angle is 21 more than the second.

So, we can formulate;

z = 21 + y ... (iii)

Substitute value of z in equation (ii);

y + 21 + y = 3x

3x = 2y + 21

x = 2/3 y + 7

So, We can substitute x = 2/3y + 7 , y = y and z = 21 + y in equation (i), we get;

x + y + z = 180°  

2/3 y + 7 + y + 21 + y = 180

2/3y + 2y + 28 = 180

8/3 y = 180 - 28

8/3 y = 152

y = 152 × 3 / 8

y = 57°

Hence, x = 2/3y + 7

x = 2/3 × 57 + 7

x = 2 × 19 + 7

x = 45°

And, z = 21 + y

z = 21 + 57

z = 78°

Thus, The measure of all the three angles of a triangle will be 45°, 57° and 78° respectively.

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∠1 and ∠5 are a pair of corresponding angles.
∠15 and ∠7 are corresponding angles.
∠4 and ∠10 are a pair of alternate interior angles.
∠8 and ∠13 are a pair of co-interior angles.
∠3 and ∠4 are a pair of linear angles.


What are corresponding angles?
When two parallel lines are intersected by another line, comparable angles are the angles that are created in matching corners or corresponding corners with the transversal (i.e. the transversal).
What are alternate interior angles?
When a transversal connects two coplanar lines, alternate interior angles are created. They are located on the transverse sides of the parallel lines, but on the inner side of the parallel lines. At two different locations, the transversal passes through the two lines that are coplanar. These angles indicate whether or not the two provided lines are parallel to one another. When a transversal intersects two parallel lines, the angles that are created inside are equal to the alternate pairings of that transversal. Alternate interior angles are what they are termed.
What are alternate exterior angles?
The pair of angles on the outside of the two parallel lines but on the other side of the transversal are known as alternate exterior angles.
What are linear pair of angles?
When two lines cross at one point, a linear pair of angles is created. If the angles follow the intersection of the two lines in a straight line, they are said to be linear. A linear pair's total angles are always equal to 180°. These are also referred to as additional angles.

Following the above literature,
∠1 and ∠5 are a pair of corresponding angles since angles are created in matching corners or corresponding corners with the transversal.
∠15 and ∠7 are corresponding angles since angles are created in matching corners or corresponding corners with the transversal.
∠4 and ∠10 are a pair of alternate interior angles.
∠8 and ∠13 are a pair of co-interior angles.
∠3 and ∠4 are a pair of linear angles since pair's total angles are always equal to 180°.

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The value of the given expression is -64.

what is value?

Given expression:

y^2-x^4y

=y^2-x^4y

=y(y-x^4)

Putting value x=2, y=8

8(8-2^4)

=-64

The value of the given expression is -64.

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The population of Florida in scientific notation 1.958 x [tex]10^{7}[/tex]

What is Scientific notation?

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It can also be referred to as standard form in the UK, standard index form, or scientific form.

Given,

19,580,000

We know that,

19580000 = 1.9580000(10000000)

10000000 = [tex]10^{7}[/tex]

Substitute

1.9580000([tex]10^{7}[/tex])

or, 1.958 x [tex]10^{7}[/tex]

Hence, The 2014 population of Florida in scientific notation is equal to 1.958 x [tex]10^{7}[/tex]

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Let be "a" the number of medals that Country A won, "b" the number of medals that Country B won, and "c" the number of medals that Country C won.

You can set up the following System of equations using the information given in the exercise:

In order to solve the System of equations, you can follow these steps:

1. Substitute the second equation into the third equation:

2. Substitute this new equation and the second original equation, into the first original equation:

3. Solve for "c":

4. Knowing the value of "c", you can substitute it into the second original equation and then evaluate, in order to find the value of "b":

5. Knowing the value of "b" and "c", you can substitute them into the third original equation and then evaluate, in order to find the value of "a":

Therefore, the answer is:

- Country A won 76 medals.

- Country B won 25 medals.

- Country C won 18 medals.

measured 12.4 inches but it is 9.6, the error is 12.4 - 9.6 = 2.8 inches

2.8 inches in percentage with tespect to 9.6:

100 (2.8/9.6) = 280/9.6 = 29.2 %

Answer:

Error is 29.2% of the actual lenght (9.6)

Answer:

x=-10, you would get this by fixing the equation like this (x+10) (x+) =0 then you would have to -10 on both sides and you get -10 as your answer

Answer:

76

Step-by-step explanation:

We are given the following expression:

qp - 8m - m + 1 - m

It can see simplified combining commom terms as:

qp + m(-8 - 1 - 1) + 1

Which is

qp - 10m + 1

Replacing m by -3, q by 5 and p by 9

5*9 - 10*(-3) + 1 = 45 + 30 + 1 = 76

the answer is C x=20

8x - 3y = -22

y = 5x + 19

Substituting the second equation into the first one:

8x - 3(5x + 19) = -22

8x - 3*5x - 3*19 = -22

8x - 15x - 57 = -22

-7x = -22 + 57

x = 35/(-7)

x =

In this problem we have that

the solution is the shaded area above the dashed line

so

Find the equation of the dashed line

x -----> outside temperature

y ----> inside temperature

Find the slope

take the points (0,20) and (10,30)

m=(30-20)/(10-0)

m=10/10

m=1

the equation is

y=x+20

therefore

the inside temperature is always 20 degrees warmer than the outside temperature

Given the sequence:

1, 1, 2, 6, 24

Let's fill in the sequence.

Here, we can see that the nth term is equal to the pprevious term multiplied by n.

First term: 1 x 1 = 1

Second term: 1 x 2 = 2

Third term: 2 x 3 = 6

Fourth term: 6 x 4 = 24

Fifth term: 24 x 5 = 120

Sixth term: 120 x 6 = 720

Seventh term: 720 x 7 = 5040

8th term: 5040 x 8 =40320

Hence, the sequence is:

1, 1, 2, 6, 24, 120, 720, 5040, 40320

The explicit formula of the sequence is:

For example to find the 6th term, we have:

We can see the 6th term is 720.

For the recursive formula, we have:

ANSWER:

Sequence: 1, 1, 2, 6, 24, 120, 720, 5040, 40320

Explicit formula:

Recursive formula:

The domain of the line in the graph is x∈R.

So, the domain the line is:

Which means, in the given graph, y = x = 10.

This also means:

The values of x can go to infinity.

Therefore, the domain of the line in the graph is x∈R.

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Given the expression:

We will find the value of the expression when p = 12

so, substitute with p = 12

So, the student answer is incorrect

The correct answer will be 89

Given data:

The given revenue earn per customer is $14.

The expression for the given statement is,

1 customer= $14

Multiply the above expression by 6 on both sides.

6(1 customer)=6($14)

6 customers=$84

Thus, revenue earn by 6 customers is $84.

Answer: c.800 that's the answer

The correct estimate of the number of plates on the plate rack is 800.

The number of racks of plates in the City Restaurant is 19.

The number of plates in each rack is 37.

We need to find the estimated number of the total plates on the plate rack in the City Restaurant.

To find the estimate, we will round off the numbers to the nearest ten.

Rounding a number implies simplifying it while retaining its value close to what it was. The end output is less precise but more usable.

The number of racks of plates is rounded off and becomes 20.

The number of plates in each rack is rounded off and becomes 40.

The total number of plates in the rack is given by the multiplication of the two numbers obtained.

The total number of plates on the plate rack is 20x40 = 800.

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Answer:

140 ounces

Step-by-step explanation:

(8)(2.5)(7) = 140 ounces

Given:

A positive number shows a deposit

A negative number shows withdrawals.

Find-: What could $6+

-60 represent

Sol:

+6 represent is:

-60 represent is:

So the answer is:

$6 deposit followed by a $60 withdrawal

In this problem we have a vertical parabola open upward

the vertex represents the absolute minimum

Looking at the graph

the vertex is the point (1,-3)

therefore

the function is increasing at the interval (1, infinite)

the function is decreasing at the interval (-infinite, 1)

the absolute minimum is (1,-3)

Given:

a = 4

b = 5

c = unknown

Let's find the length of c.

Here, we are given a right triangle, where c is the longest side.

The longest side of a right triangle is called the hypotenuse.

To find the hypotenuse, apply Pythagorean Theorem:

Input values into the equation above:

Take the square root of both sides:

Therefore, the length of the missing side, c =