A polygon will be dilated on a coordinate grid to create a smaller polygon. The polygon is dilated usi Xthe origin as the center of dilation.Which rule could represent this dilation?

Answer:

$60,125

Explanation:

We'll use the below formula to determine how much Devin will pay altogether;

where A = final amount = ?

P = principal amount = $2600

r = interest rate in decimal = 8.75/100 = 0.0875

t = time in years = 15 years

Substituting the given values into our formula and solving for A, we'll have;

Therefore, Devin will pay $60,125 altogether.

Problem N 4

we have the function

Interval (-2,2)

using a graphing tool

Local minimum value at (1,-1)

Local maximum value at (0.37,-0.65)

Intervals (-1.37,0.37) U (1, infinite)

Intervals (-infinite, -1.37) U (0.37,1)

To solve the exercise you can apply the following formula:

In this case, based on the information given in the exercise, you can identify that:

Substituting values, you get:

Therefore, The pressure is increasing at 0.45 psi per foot.

the equation is

Since both triangles are congruent, the proportion between their sides is the same, so we can write:

x = 23

Answer:

x = 23

The value of 2 in the quotient is 200.

What is division?

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

The opposite of multiplication is division. When you multiply three groups of four to produce twelve, you get four in each group when you split twelve into three equal groups.

Let, the number 392,000 is divided by 10.

That means, [tex]\frac{392000}{10}[/tex]

Here, 392000 is the numerator and 10 is the base.

Simplifying the fraction, we get 39200.

39200 is the quotient.

Here 2 is on the hundredth place.

Therefore, the value of 2 in the quotient is 200.

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25

1) Let's evaluate this expression making use of one exponent property:

2) Note that negative exponents reciprocate the base.

3) Hence, the answer is 25

The first terms is

Substitute 2, 3, 4, and 5 for n in the equation to find first four next terms.

You have the next triangle:

As the triangle has two angles that are congruent, then it is a isisceles triangle. The opposite sides of the equal angles have the same measure.

Sides FG and GH have the same measure:

Use this equation to find the value of x:

- Substract in both sides of the equation 2x:

- Substract in both sides of the equation 40:

- Multiply both sides of the equation by -1:

Fill in the table using the function rule y= 3x + 5​

________________________________________

Replace each value of x in the expression

____________________________________

x= -4

y = 3* (-4)+5​

= -12 +5

= -7

_______________

x= -2

y = 3* (-2)+5​

= -6 +5

= -1

_____________

x= 0

y = 3* (0)+5​

= 0 +5

= 5

_____________

x= 2

y = 3* (2)+5​

= 6 +5

= 11

______________________________

Answer

_________________________

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The conversion rate for a gallon to quart is given as

This means that to get the number of quarts in a given measure in gallons, we multiply the number by 4.

The question asks us to convert 15 gallons to quarts.

This can be calculated as

Therefore,

we have that

The probability of seeing a romantic or sci-fi movie is

P=0.203+0.12=0.323

therefore

the probability of seeing anything other than a romantic or sci-fi movie is

P=1-0.323

P=0.677

From the information available, some magazines (m) and some notepads (n) were bought.

If you bought a magazine for $7, then mathematically that would be;

Also, if you bought some notepads for $5 each, that would be expressed as;

This represents 5 dollars times every given number of notepads, hence we would have;

Note that one magazine was bought which is why we have m = 7. We shall now substitute for thw value of m;

The value of n = 4

ANSWER:

This means you bought 4 notepads

Given:

P(s) = 29%

P(t) = 49%

For us to be able to determine P(S or T), we will be using the following formula:

We get,

Therefore, the answer is CHOICE A: 78%

Given the function

To determine which graph corresponds to this function you have to determine the coordinates of the vertex and the roots of the function.

Vertex

To determine the coordinates of the vertex you have to calculate the x-coordinate using the formula:

a is the coefficient of the quadratic term

b is the coefficient of the x-term

The term of the quadratic term, in this case, is a=1 and the term of the x-term is b=3

Replace the x-coordinate in the function to calculate the corresponding value of f(x):

The coordinates of the vertex are (-1.5,-6.25)

Roots of the function

To determine the roots of the function you have to use the quadratic formula:

a is the coefficient of the quadratic term

b is the coefficient of the x-term

c is the constant of the function

For a=1, b=3, and c=-4

Solve the addition and the subtraction separately

Addition

Subtraction

The roots of the function are (1,0) and (-4,0)

The graph that corresponds to this function is

the given equation is,

Now, we will solve it further,

Now, we will put x=0 to get the intercept of the line on the Y axis,

So, the Y-intercept of the given line equation is -12.

the point W is positioned 3 units to the right (the x-coordinate is 3) and 2 units down (the y-coordinate is -2), thus the coordinates of W are (3,-2)

Since F represents the number of five point questions and t represents the number of two point questions, and the total amount of questions is 50, then:

F correct answers would give us 5F points, and t correct answers would give us 2t points, for a total of 130 points. Then:

Vertices of new image: A' = (12, -24)

B' = (24, -24)

C' = (36, -36)

D' = (24, -48)

E = (12, -36)

A(-6,0), B(-3,0), C(0, -3), D(-3,-6), and E(-6, -3)

A translation of (x + 9, y-6)

A becomes A'

A' = (-6 + 9, 0 - 6) = (3, -6)

B(-3,0)

B becomes B'

B' = (-3+9, 0 - 6) = B' (6, -6)

C(0, -3)

C becomes C'

C' = (0+9, -3-6) = C' (9, -9)

D(-3,-6)

D becomes D'

D' = (-3+9, -6-6) = (6, -12)

E(-6, -3)

E becomes E'

E' = (-6+9, -3-6) = (3, -9)

A dilation with scale factor of 4, we multiply the cooordinates of the alphabeths with prime with 4.

Vertices of new image:

A' = 4(3, -6) = (12, -24)

B' = 4(6, -6) = (24, -24)

C' = 4(9, -9) = (36, -36)

D' = 4(6, -12) = (24, -48)

E = 4(3, -9) = (12, -36)

Given:

The price of a bottle of French perfume, found by multiplying

the unit price of the perfume in euros per milliliter by the volume of the bottle in milliliters.

the unit of the unit price is: euros per milliliter

And the unit of the volume is: milliliters

By multiplying the two units: the unit of the result will be euros

If triangle ABC is similar to DEF then the ratio between the sides will be a constant so we can get the expression:

and we solve for x so:

the are of a base cone, while we have the volume and the height

V= pi*r^2*(h/3)

36=pi*r^2*3

we can find out now the r, radius

r=sqrt(3*36/pi*9)=1.95

Area, A= pi*r^2=

we can look at the Volume formula

36=pi*r^2*3

and if we divide both sides by 3 we get

12=pi*r^2, which is area

A= 12

Answer: A 143 degrees because angle 5 is a congruent to angle one

Step-by-step explanation:

Given:

There are given that the inequality graph.

Explanation:

In the given question, there are given number line graphs, in which the arrow has been shown in a negative direction.

Also,

There are given that the number 2 has not been included in the given graph.

So,

The inequality will be:

Final answer:

Hence, the inequality is shown below:

The given equation is,

The equation can be solved as,

Thus, the requried value of p is 15.N

| 7 3 2|

8 2 7

6 8 5

7(10 - 56) - 3(40 - 42) + 2(64 - 12)

7(-46) - 3(-2) + 2( 52)

-322 + 6 + 104

= -212

When graphing unit rates, the unit rate begins at (0, 0), and then at (1, y).

So, it will represents a line passes through the given points

The slope of the line will be y

So,

The second point will be ( 2, 2y)

And the third point will be ( 3, 3y)

Answer: 9,00

Step-by-step explanation:

I am right.

Answer:

1,402

Step-by-step explanation

the red line is further than the 1,396

According to the figure we need to evaluate the sin(30°) and the cos(60°). Remember the trigonometric relations defined over the rectangle triangles as follows, suppose we have an angle called "alpha"

Now, according to the figure, we have that for the angle of 60 degrees:

And for the angle of 30 degrees we get the following

So, your answer is: sin(30°)=1/2=cos(60°).

Hello there. To solve this question, we'll have to remember some properties about inverse trigonometric functions.

Given the expression:

We want to express it as an algebraic function of x.

For this, imagine the following triangle:

Now, we find the missing leg of the triangle applying Pythagoras theorem:

Now, finding the sine and cosine of the angles alpha and beta, we get:

First, remember the sine of an angle is equal to the ratio between the opposite side to the angle and the hypotenuse of the triangle. The cosine of the same angle is equal to the ratio between the adjacent side to the angle and the hypotenuse of the triangle.

Therefore, we have:

This means that:

Now, the expression we had earlier turns into:

For this, we'll use the angle sum formula:

Which gives us:

Plugging the results we got earlier, this is simply:

As x > 0, because we're using it as a triangle side (but it could be negative considering inverse sine and cosine as functions), we get: