PLS HELP Quadrilateral ABCD is located at A(-2, 2), B(-2, 4), C(2, 4), and D(2, 2). The quadrilateral is then transformed using the rule (x + 7, y - 1) to form the imagecoordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments

We need to find the equation of the new function g(x) obtained by vertically stretching the function:

Vertically stretching a function by a factor of k corresponds to multiplying the whole expression of function by k:

In this problem, we have k = 18. Thus, we obtain:

Answer: C. g(x) = 18x²

ANSWER:

A. 15%

STEP-BY-STEP EXPLANATION:

We can determine the percentage using the following formula:

Therefore, the correct answer is A. 15%

Answer:

Yes.  r = 3 + 3sin θ is symmetrical along the y axis

Step-by-step explanation:

Original polar equation is

r = 3 + 3sinθ

If this plot is to be symmetrical about the y axis then replacing Θ with (π-θ) in the original equation should not change the equation and thereby should not change the plot

r = 3 + 3sinθ

Replace θ with π-θ:

==>  3 + 3sin(π-θ)

But sin(π-θ) = sinθ

So the equation is unchanged at 3 + 3sin(π-θ) from the original equation r = 3 + 3sinθ

Hence the equation is symmetrical along the y-axis

This can be also be clearly seen if you plot both the equations, you will see the plot does not change

Answer:

15

Step-by-step explanation:

5x + 9 and 84 are alternate interior angles.

Since,

lines l and m are parallel, alternate interior angles are equal.

So,

5x + 9 = 84

Step 1 : Subtract 9 on both sides.

5x = 84 - 9

5x = 75

Step 2 : Divide 5 on both sides.

x = 75/5

x = 15

Hence,

The value of x is 15.

Answer:

Substitute x = -8 into f(x).

f(-8) = 3(-8)² - 5(-8) + 20

= 3(64) + 40 + 20

= 192 + 60

= 252

Answer:

5

Step-by-step explanation:

put it in order

6056605570546055

and the one that appears the most is the mode

Solution:

Given:

Two parallel lines have identical slopes.

Hence, the slope of line 1 is gotten by comparing the equation given to the equation of a line in the slope-intercept form.

Thus,

Since both lines are parallel, then the slopes are equal.

To get the equation of line 2 through the point (2,11), the formula below is used;

Therefore, the equation of the line that is parallel to y = 3x - 2 passing through the point (2,11) is;

From the information available;

The population is 52% and the sample size is 7. The probability that exactly 4 of them use smartphones (if 7 adults are randomly selected) would be calculated by using the formula given;

We shall insert the values as follows;

Rounded to four decimal places, this becomes;

ANSWER:

The probability of selecting exactly 4 smartphone users is 0.2830

The diameter of the cylinder is 24 mm.

Therefore, the radius is given by:

The height of the cylinder is given as 5 mm.

The formula for the volume V of a cylinder with radius r and height h is given by:

Substitute r = 12mm and h = 5 mm into the formula for volume:

Therefore, the volume of the cylinder is approximately 2261.9 mm².

.

(-∞,1/3] will be the required option in interval notation for the given inequality 3x + 4 ≤ 5 as it's definition states "a relationship between two expressions or values that are not equal to each other".

A difference between two values indicates whether one is smaller, larger, or simply not equal to the other. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b. a ≤ b means that a is less than or equal to b. a ≥ b means that a is greater than or equal to b.

When using interval notation, we first write the set's leftmost number, then a comma, and finally its rightmost number. Depending on whether those two numbers are a part of the set, we then enclose the pair in parentheses or square brackets (sometimes we use one parenthesis and one bracket!).

Here,

3x+4≤5

3x≤1

x≤1/3

(-∞,1/3]

As it's definition states "a relationship between two expressions or values that are not equal to each other" (-∞,1/3] will be the required option in interval notation for the given inequality 3x + 4 ≤ 5.

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SOLUTION

Write out the given point

The equation of the line passing through the point above will be obtain by following the steps

Step1: Obtain the slope of the line

Substituting the values we have

Step 2: Obtain the y- intercept

The y-intercept is the point where the graph touch the y, axis

Steps 3; use the slope intercept rule

Hence

The equation in slope intercept form is

y = - 3/4 x + 6

Since he has the same number of nickels as dimes.

x = nickels

x = dimes

500 - 2x = quarters

the total value of the coins is $72.50

5x + 10x + 25(500-2x) = 7250

Solve for x

15x + 25(500) + 25(-2x) = 7250

15x + 12,500 - 50x = 7250

Combine like terms

15x - 50x = 7250 - 12500

-35x = -5250

Divide both sides of the equation by -35

-35x/-35 = -5250/-35

x = 150

150 quarters

Given the functions:

By definition, (f+g)(x) is equivalent to:

Finally, using the expressions for f and g:

Annette Michaelson will need $11,000 in 8 years to help pay for her education. Determine the lump sum, deposited today at 4.5% compounded monthly, will produce the necessary amount.​

we know that

The compound interest formula is equal to

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

A=11,000

t=8 years

n=12

r=4.5%=0.045

substitute in the formula above

therefore

the answer is

Answer:

C

Explanation:

Given:

Volume of a cylinder (V) = 4pi cubic units

To find:

Base area(A) and height(h)

Recall that the volume of a cylinder(A) is usually given as;

So let's go ahead and try each of the options and see which gives us 4pi on the left-hand side as we have on the right-hand side for Volume.

For option A;

We have that A = 1 and h = 2, so we'll have;

For option B;

We have A = 2pi and h = 1, so we'll have;

For option C;

We have A = 2pi and h = 2, so we'll have;

We can see from the above that option C is the right option.

1) Using the data from the table, we plot the following segmented bard chart for the relationship between age and behaviour toward humans.

2) From the graph we see that for each behaviour towards humans, we have approximately the same percentage of juveniles (around 10%) and adults (around 90%), that's because the blue and green portions are proportionally the same for each bar. Based on what we see from the graph, we conclude that there is no association between age and behaviour towards humans.

ANSWER

5 pairs

EXPLANATION

We have that:

- one pair of pants cost $24.95

- one t-shirt costs $22.50

- one pair of socks cost $5.95

You want to buy one pair of pants, one t-shirt and several pairs of socks and you don't want to spend more than $80.

This means that everything you spend must be less than or equal to $80.

Let the number of pairs of socks you can buy be x.

This therefore means that:

Because we know that the number of pairs of socks must be a whole number, we have to approximiate to whole number, which will be:

x = 5

Therefore, you can buy at most 5 pairs of socks.

Given

The expression is given as

Explanation

To find x, add the expression.

Answer

Hence the value of x is 8.

[tex]4x + 3x = 56\\7x = 56\\x = 56/7\\x = 8[/tex]

The answer is X=8

The theorem that justifies why triangle ABC is congruent to triangle CDA is the: SAS.

The SAS theorem states that if we can show that two triangles have a pair of corresponding congruent included angles, and two pairs of corresponding sides that are also congruent to each other, then we can prove that both triangles are congruent to each other.

The triangles, ABC and CDA have:

Two pair of corresponding sides that are congruent to each other, which are AB ≅ BC, and AC ≅ CA.

A pair of corresponding included angles, which is angle 1 ≅ angle 2.

Based on the above known information, we can conclude that triangle ABC is congruent to triangle CDA by SAS theorem.

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Given:

Required:

To determine the possibilities for the nature of the roots of the given equation.

Explanation:

(A)

We have to solve the equation.

We have 2 unknowns and one equation, so we can only express one in function of the other.

We already have x in function of y, so we will now express y in function of x:

Answer:

y = -x/8 + 9/8

the figure below to better undesrtand the problem

Applying proportion

h/17.35=1.55/(17.35-12.70)

solve for h

h=17.35*1.55/4.65

Answer:

Explanation:

What we want to answer in this question is simply, the area of the room that will be painted blue if he decides he would paint exactly have the room blue

So, we need to simply get the area of the room and divide this by half

Mathematically, the area of a rectangle is the product of its two sides

Thus, we have it that the area of the room is:

Now, to get the area painted blue, we divide this by 2 as follows or multiply by 1/2

We have this as:

Answer:

2.3

Explanation:

The formula for calulating mean deviation is expressed as:

where;

m is the mean of the data set

Xi are individual values

n is the total sample space

Get the mean;

n = 7

mean = (10+12+11+15+9+8+5)/7

mean = 70/7

mean = 10

Get the mean deviation:

Mean deviation = (10-10)+(12-10)+(11-10)+(15-10)+(9-10)+(8-10)+(5-10)/7

Since the values is in modulus |xi - m| will give a positive value, hence;

Mean deviation = (0+2+1+5+1+2+5)/7

Mean deviation = 16/7

Mean deviation = 2.28

Mean deviation = 2.3 (to the nearest tenth)

Answer:

Step-by-step explanation:

We're going to use length DC and ML, along with DA and MJ

[tex]\frac{DC}{ML} = \frac{5}{6}[/tex] which is 0.833333333

now for

[tex]\frac{DA}{MJ} =\frac{7}{8.4}[/tex] which is 0.833333333 (again)

as you can see since the shapes ABCD and JKLM are similar, they have a relationship which in this case is 0.833333333

and we can use this 0.833333333 to help us find the length of KL

knowing that any length for ABCD divided by JKLM is 0.833333333

we can do

[tex]\frac{CB}{LK}=0.833333333[/tex]

since we don't know what KL is, we can switch the spots and enlongate it, to become:

[tex]\frac{CB}{0.833333333} =LK[/tex]

put in the value for CB

[tex]\frac{3}{0.833333333} =LK[/tex]

and we get 3.6

The length of x of KL is...

We will solve as follows:

Take into account that there are 7 chices for the first course, and there are 10 choices for the entree.

The total number of choices is given bye:

total_choices = Choices_for_first_course x choices_fro_entree

Then, by replacing the values of the previous parameters you get:

total_choices = 7 x 10 = 70

There are 70 ways a person can order a two-course meal

The value of the car after 5 years is $13,500 and the value of the car after 9 years is $10,500.

According to the question,

We have the following information:

The value of the car is given by V(x) where x is the number of years.

V(x) = -1500x + 21,000

(a) Now, to find the value of car after 5 years, we will put 5 in place of x in the given expression:

V(5) = -1500*5+21000

V(5) = -7500+21000

V(5) = $13,500

(b) Now, to find the value of car after 9 years, we will put 9 in place of x in the given expression:

V(9) = -1500*9+21000

V(9) = -10500+21000

V(9) = $10,500

(c) When V(12) = 3000 then it means that the value of the car after 12 years is $3000.

Hence, the value of car after 5 years and 9 years is $13,500 and $10,500 respectively.

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First, we need to know the ratio of boys to girls in Mrs. Navarro's class. There are 16 boys and 20 girls. The ratio would be 16:20.

From this given, we can choose from the options which rations are equivalent to our given ratio.

8 to 10 is a ratio that is equivalent from our given. If we scale are ratio by 2, we can get 8:10.

5:4, 8:18, and 5 to 9, however, are NOT equivalent to 16:20.

4:5 is equivalent. We just need to scale 16:20 by 4, and we will get 4:5.

10:8 is another ratio that is NOT equivalent to 16:20.

*Scaling ratios are similar to finding the lowest terms of fractions.