Identify horizontal or vertical compression stretch of the function g(x) = 6x

The value of x is given as follows:

x = 24.

The measure of angle DFE is given as follows:

<DFE = 62º.

To obtain the measures, we consider that the sum of the measures of the internal angles of a triangle is of 180º.

The internal angle measures for this problem are given as follows:

Hence the value of x is obtained as follows:

180 - 5x + 14 + 44 + 3x - 10 = 180

228 - 2x = 180

2x = 48

x = 24.

The measure of angle DFE is obtained as follows:

<DFE = 3(24) - 10

<DFE = 72 - 10

<DFE = 62º.

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Multiples of 3

: 3, 6, 9, 12, 15, 18, 21, 24, ...

Multiples of 4

: 4, 8, 12, 16, 20, 24, ...

Multiples of 8

: 8, 16, 24, ..

2

Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 2424

Method 2: By Prime Factors

1

List the prime factors of each number.

Prime Factors of 3

: 3

Prime Factors of 4

: 2, 2

Prime Factors of 8

: 2, 2, 2

2

Find the union of these primes.

2,2,2,32,2,2,3

3

Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.

LCM = 2424

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

$224.75

Step-by-step explanation:

In order to solve this, multiply the total number of weeks with the cost per week:

15.5 weeks * $14.50 / 1 week =

15.5 weeks / 1 week * $14.50 = ==> join like terms

15.5/1 * $14.5 =  ==> cancel the weeks unit

15.5 * $14.5 = ==> simplify

$224.75 for 15.5 weeks

Answer:

use the app photomath. its free. and shows you all the steps

Step-by-step explanation:

Answer:

the answer is 9

hope this will help you

Answer:

its d

Step-by-step explanation:

I've taken this quiz before

The equation of the ellipse that has the center at (0, 0) the vertex at (-8, 0), and the covertex at (0, 4) is; \(\frac{x^2}{64} + \frac{y^2}{16} = 1\)

The standard form of the equation of an ellipse is as follows;

\(\frac{x^2}{a^2} + \frac{y^2}{b^2}=1\)

Where;

a = The semi major axis

b = The semi minor axis

The semi major axis is the distance from the center of the ellipse to the vertex, and the semi minor axis is the distance from the center to the co-vertex.

The coordinate of the center of the ellipse = (0, 0)

The coordinates of the vertex = (-8, 0)

The coordinates of the co-vertex = (0, -4)

The ellipse has an horizontal major axis, therefore;

a = |0 - (-8)| = 8, and b = |0 - 4| = 4

The equation of the ellipse is therefore;

\(\frac{x^2}{8^2} + \frac{y^2}{4^2}=\frac{x^2}{64} + \frac{y^2}{16} = 1\)

\(\frac{x^2}{64} + \frac{y^2}{16} = 1\)

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Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Exact Form:

\(1351+780\sqrt{3}\)

Decimal Form:

2701.99962990

Thus, 2,701 is your answer

The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

6 1/8th cups in 3/4 cups

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

you convert 3/4 into 8ths which will be 6/8

The vertex and the range of y = |2x + 6| + 2 are (c) (-3, 2); 2 ≤ y < ∞

The equation is given as

y = |2x + 6| + 2

The above equation is an absolute value function

An absolute value function represented as

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

y = |2x + 6| + 2

This gives

y = 2|x + 3| + 2

This means that the vertex is

Vertex = (-3, 2)

Remove the x value

y = 2

Because the leading coefficient is positive, then the vertex is a minimum

i.e.

y ≥ 2

So, the range is 2 ≤ y < ∞

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Answer:

2 2/5

Step-by-step explanation:

12 can go into 5 2 times with a left over of two, so it would be 2 which is 10 and a left over of two. The denominator stays the same. So it would be 2 2/5.

Answer:

Option B

Step-by-step explanation:

The question can be solved without observing the masses and calculating them.

How?

Now

Only option B and D has Hydrogen at first.

Now coming to last elements Carbon and Gold

Gold is heavier as per periodic table.

So option B is correct

The number of pounds of macaroni in the order is 4 pounds and the number of pounds of chickpeas is 5 pounds.

Let x be the number of pounds of macaroni and y be the number of pounds of chickpeas. Then, we can write the following system of equations:

x + y = 9 (the total weight of macaroni and chickpeas is 9 pounds)

1.5x + 3y = 21 (the total cost of macaroni and chickpeas is $21)

To solve for x and y, we can use the first equation to eliminate one of the variables.

If we substitute y = 9 - x into the second equation, we get:

1.5x + 3(9 - x) = 21

Expanding and simplifying:

1.5x + 27 - 3x = 21

-1.5x = -6

x = 4

So, there are 4 pounds of macaroni in the order. We can use the first equation to find out that there are 9 - 4 = 5 pounds of chickpeas in the order.

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Answer:

Use maths papa

Step-by-step explanation:

Answer:

Step-by-step explanation:

The scale factor is

The distance to Andromeda would be:

Answer:

the two numbers are 12 and -1.

Step-by-step explanation:

Let the large number be represented by x and the smaller number by y.

So that;

x = 8y + 20 .................. 1

x + y = 11 ................... 2

From equation 2,

x = 11 - y .......... 3

Substitute equation 3 into equation 1 to have,

11 - y = 8y + 20

11 - 20 = 8y + y

-9 = 9y

divide through by 9 to have,

y = -1

Substitute the value of y in equation 3,

x = 11 - (-1)

  = 11 + 1

  = 12

x = 12

x = 12, y = -1

The two numbers are 12 and -1.

===============================================

Explanation:

The density order from greatest to least is therefore: D, C, A, B

The magnitude of the complex number -10 + 24i is 26.

We have,

Complex numbers can be represented as a combination of a real number and an imaginary number, in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1.

Now,

To find the magnitude of a complex number, we take the square root of the sum of the squares of its real and imaginary parts.

For -10 + 24i, the real part is -10 and the imaginary part is 24.

So the magnitude:

| -10 + 24i | = √((-10)^2 + (24)^2) = √(100 + 576) = √676 = 26

Therefore,

The magnitude of -10 + 24i is 26.

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Answer:

the answer is $3.25

Step-by-step explanation:

as you see she deposited $20.00 and she had to spend $16.75  they are not asking about the starting balance just subtract $20.00-$16.75 = $3.25 - $3.25 = 0 so the answer you are looking for is $3.25

The expression that shows how much the individual earns everyday if they sell n items would be = $5 × n = $5n.

A salesperson is an individual that helps in the marketing and selling of goods and products for a company and who is equally rewarded with bonus after each sale that is made.

The amount of money that the salesperson makes = $10/day

The amount of money given as bonus for each item sold = $5

Therefore when the number of items sold = n, the amount made = $5 × n = $5n

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The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry, Xmin = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

By substituting the parameters, we have the following:

Axis of symmetry, Xmin = -b/2a

Axis of symmetry, Xmin = -(-6)/2(1)

Axis of symmetry, Xmin = 6/2

Axis of symmetry, Xmin = 3.

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Answer:

Step-by-step explanation:

Hello!

Distribution in attachment.

The variable of interest is:

X: Number of successes after flipping a coin 5 times.

If you check the binomial criteria:

The number of trials is fixed: n=5

There are only two possible outcomes "success" or "failure"

Each flip of the coin is independent of the others.

The probability of success in the same from one trial to another, in this case, if we consider the coin to be balanced, the probability of success is p=0.5

The histogram shows the probability of obtaining X number of success in 5ve flips of a coin (y-axis) vs the number of successes counted each (x-axis)

Statements:

1) The bar for any number k represents the probability of getting k successes in 5 flips. Correct. The histogram shows the probability of obtaining X number of success in 5ve flips of a coin (y-axis) vs the number of successes counted each (x-axis). Each bar represents the probability of success for each possible value.

2) The number of successes, k, can range from 0 (no success) to 5 (all successes). Correct. The variable count the number of successes after flipping a coin 5 times. It can happen that you flip it and all the flips turn to be failures (X=0), that you flip it 5 times and only one turns out to be a success and the other 4 are failures (X=1), and so on until you flip it 5 times and all flips are successes (X=5)

3) Each coin flip is independent; it is not affected by any other coin flip. Correct, if not, this variable wouldn't have a binomial distribution as specified in the text.

4) For 5 coin flips, P(2 heads) = P(3 heads). Correct

Looking at the histogram, the bars for "2 successes" and "3 successes" have the same height, a little above 0.3, this means that both values have the same probability of occurrence.

5) The sum of the probabilities shown in the binomial distribution is p.

Incorrect.

For the binomial distribution "p" represents the probability of success for each trial, in this case, flipping the coin once.

For this distribution, as well as for other probability distribution, the sum of all probabilities is always 1, if not, then it is not a probability distribution.

I hope this helps!

Answer:

Lets make this easier for you guys. The correct answers are 1 through 4.

The bar for any number k represents the probability of getting k successes in 5 flips.

The number of successes, k, can range from 0 (no success) to 5 (all successes).

Each coin flip is independent; it is not affected by any other coin flip.

For 5 coin flips, P(2 heads) = P(3 heads

Step-by-step explanation:

Correct on edge :))

Answer:

Step-by-step explanation:

I don't know if you made a mistake when typing but I am guessing you meant x - 21 = 103

(x-21) = 103 Add 21 to each side

x - 21 + 21 = 103 + 21

x = 124

Answer:

Step-by-step explanation:

Product means multiply.

-300

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

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