Triangle ABC is rotated 180° clockwise about the origin
and dilated by a scale factor of 4. What are the
coordinates of the resulting image if the preimage
coordinate of point A is (3,-2)?
1) (-12,-8)
2) (12,-8)
3) (8,12)
4) (-12,8)

Answer:      302 degrees

Step-by-step explanation:

Step-by-step explanation:

2/9w=24

cross multiply

2w=216

w=216/2

w=108

8/9p=12/18

cross multiply

144p=108

p=108/144

p=0.75

2.5c=15.75

c=2.5/15.75

c= 0.16

10/13n=-30/39

cross multiply

390n=-390

n=-390/390

n= -1

False. To calculate a percent increase, the portion is not the missing element. The portion refers to the initial or original value, while the missing element is the final or increased value.

The formula for calculating a percent increase is:

Percent Increase = (Final Value - Initial Value) / Initial Value * 100

In this formula, the initial value is the portion that represents the starting or original value. The final value is the missing element, as it represents the increased or final value after the increase.

By subtracting the initial value from the final value, we obtain the difference between the two. Dividing this difference by the initial value gives us the relative increase as a decimal or fraction. Multiplying by 100 converts it into a percentage, representing the percent increase.

Therefore, the portion in calculating a percent increase is the known value or initial value, while the missing element is the final value that we are trying to determine or find.

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To determine if a difference exists in a psychologist's income as a function of residential status (urban vs. rural), the demographer can use the Independent Samples t-test.

The Independent Samples t-test is appropriate when comparing the means of two independent groups. In this case, the demographer has two independent samples: one from psychologists in urban areas and another from psychologists in rural areas.

The test will assess whether there is a statistically significant difference between the mean incomes of psychologists in urban and rural areas. It takes into account the variability within each group and provides a p-value indicating the likelihood of obtaining the observed difference in means by chance.

By conducting an Independent Samples t-test, the demographer can determine if there is evidence to support the hypothesis that residential status has an effect on a psychologist's income.

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The final volume of the gas, when the pressure is increased from 0.428 atm to 0.72338 atm with an initial volume of 240 ml, is approximately 142.55 ml.

The final volume of the gas in milliliters, when the pressure is increased from 0.428 atm to 0.72338 atm with an initial volume of 240 ml, is unknown ml.

To solve this problem, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature. The equation for Boyle's Law is:

P1 * V1 = P2 * V2

where P1 and V1 are the initial pressure and volume, and P2 and V2 are the final pressure and volume.

Given that P1 = 0.428 atm, V1 = 240 ml, and P2 = 0.72338 atm, we can plug these values into the equation and solve for V2:

(0.428 atm) * (240 ml) = (0.72338 atm) * V2

103.2 atm * ml = 0.72338 atm * V2

V2 = (103.2 atm * ml) / 0.72338 atm

V2 ≈ 142.55 ml

Therefore, the final volume of the gas, when the pressure is increased from 0.428 atm to 0.72338 atm with an initial volume of 240 ml, is approximately 142.55 ml.

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Answer:

x=148

Step-by-step explanation:

x it is verticle from and across from 148 which is congruent to x and x=148

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When dividing exponents, you can subtract them from eachother.

So, x^2/x = x    y^3/y^-3=y^6     z^2/z^2 = z^0 = 1

There is a 50-50 chance that John gets to the airport before Jane. Therefore, the chance that John gets to the airport before Jane is 1/2.

Suppose John takes the shuttle van directly from Berkeley to the airport, and Jane drives from Berkeley and takes the parking shuttle. They leave at the same time, and their travel times are independent. The chance that John gets to the airport before Jane is 1/2.Solution:

Since the travel times of John and Jane are independent and given that they leave at the same time, the chance that John gets to the airport before Jane is equal to the probability that Jane arrives at the airport after John.

There are two possible outcomes, either John arrives first or Jane arrives first. Both of these outcomes are equally likely.

Since the probability of two mutually exclusive events happening is equal to the sum of their probabilities, and we know that the probability of both John and Jane arriving at the same time is 0, the probability that John gets to the airport before Jane is:1/2

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Answer:

37/4 is an improper fraction because the value of numerator is largest and the value of denominator value is smaller .Hence it is an improper .and 65/2 is also a improper fraction

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

We can use the rule [ x^y * x^z = x^y+z ] to simplify.

31^7 * 31^4

31^7+4

31^11

Best of Luck!

The probability that Derek will draw out a pineapple candy is `1/8`.  Note: The answer is concise, clear, and provides an accurate solution.

Given a brown paper bag containing 4 lemon, 6 lime, 8 cherry, 2 pineapple, 5 orange, and 5 grape candies. All 14 students ahead of Derek have already selected a candy to eat, but no one got pineapple.

The probability that Derek will draw out a pineapple candy can be found using the formula; `P(pineapple) = (number of pineapple candies in the bag) / (total number of candies remaining in the bag)`.

Let’s consider the remaining candies in the bag after 14 students have picked out candies:

Total candies in the bag = 4 + 6 + 8 + 2 + 5 + 5 = 30 candiesCandies remaining in the bag after 14 students picked out candies = 30 - 14 = 16 candies No one got pineapple,

hence the number of pineapple candies remaining in the bag = 2  the probability that Derek will draw out a pineapple candy `P(pineapple) = 2/16 = 1/8` (as 2 is 1/8 of 16).

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The fractions of all the supporters that are male and support the away

team is 1/3

The fractions of all the supporters that are female and support the away

team is 2/9.

A fraction is a value representing a part of a whole.

We have,

Supporters for the Home team = 4/9

Supporting for the away team = 1 - 4/9 = 5/9

Now,

Male supporters from the away team = 3/5 x 5/9 = 1/3

So,

Female supporters from the away team = (1 - 3/5) x  5/9 = 2/5 x 5/9 = 2/9

Thus,

The fractions of all the supporters that are male and support the away

team is 1/3

The fractions of all the supporters that are female and support the away

team is 2/9.

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Answer:

needed what??????????

EXPLANATION

Given the function

f(x) = sqrt(x-1) -3

The minimum value on the interval 2≤x≤10 is -3.

We can get this by sketching different points as follows:

x y=sqrt(x-1) -3

0 undefined

1 -3

2 -2

5 -1

10 0

The binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

The questions using the binomial distribution formula, we need to know the probability of a small business being owned by a woman and the total number of small businesses.

Without this information, it is not possible to provide accurate calculations. The binomial distribution formula is used when we have a fixed number of independent trials (small businesses in this case) and each trial has two possible outcomes (owned by a woman or not).

We would need the probability of success (p) and the number of trials (n) to calculate the probabilities. Once we have these values, we can use the formula to find the desired probabilities, such as the expected number of small businesses owned by women, the standard deviation, and the probabilities for specific scenarios.

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Answer:

Step-by-step explanation:

X-intercept means y-coordinate of 0:

4x +7×0 = 28

 4x = 28

   x = 7         ← x-coordinate

Y-intercept means x-coordinate of 0:

4×0 +7y = 28

 7y = 28

   y = 4         ← y-coordinate

Value of the k is -2 for the equation \(3x^{2} +2x + k = 0\).

Given equation is,

\(3x^{2} + 2x + k = 0\)

From the quadratic equation we get,

a = 3, b = 2, c = k

Let us consider roots of the equation are x₁ and x₂

We know that sum of roots is -b/a

x₁ + x₂ = - 2/3

and product of roots is c/a

x₁x₂ = k / 3

It is given that 2x₁ = -3x₂

                ⇒      x₁ = - 3/2 x₂

Putting value of x₁ in the first equation,

-3/2 x₂ + x₂ = - 2/3

-3x₂ + 2x₂ = -2/3

- x₂ = - 2/3

⇒ x₂ = 2/3

and x₁ = (- 3/2)(2/3)

       x₁ = -1

Therefore x₁x₂ = k/3 implies that,

-1(2/3) = k/3

- 2/3 = k/3

k = -2.

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The surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base. Let's start by finding the area of the square base. So, the surface area of the square pyramid is 384 square inches.

To find the surface area of a square pyramid, we need to add the area of each of its faces. In this case, we have four triangular faces and one square base

The area of a square is given by the formula A = s^2, where s is the length of a side. In this case, the base of the pyramid has a side length of 12 in, so its area is:

A = 12^2

A = 144 sq in

Now let's find the area of each triangular face. The formula for the area of a triangle is A = 1/2bh, where b is the base length and h is the height. Each triangular face has a base length of 12 in and a height of 10 in, so its area is:

A = 1/2(12)(10)

A = 60 sq in

Since there are four triangular faces, the total area of the triangular faces is:

4 × 60 = 240 sq in

Finally, we can add the area of the base and the area of the triangular faces to get the total surface area of the pyramid:

144 + 240 = 384 sq in

1. Identify the given measurements:

 Base length (b) = 12 in

 Triangular face base length (tf_b) = 12 in

 Triangular face height (tf_h) = 10 in

2. Calculate the surface area of the square base:

 Base area (A_base) = b^2 = (12 in)^2 = 144 sq in

3. Calculate the area of one triangular face:

 Triangular face area (A_tf) = 0.5 * tf_b * tf_h = 0.5 * (12 in) * (10 in) = 60 sq in

4. Since there are four triangular faces, find the total area of all triangular faces:

 Total triangular face area (A_tfs) = 4 * A_tf = 4 * (60 sq in) = 240 sq in

5. Finally, add the base area and the total triangular face area to find the surface area of the pyramid:

 Surface area (SA) = A_base + A_tfs = (144 sq in) + (240 sq in) = 384 sq in

So, the surface area of the square pyramid is 384 square inches.

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Retained earnings, December 31, 2018                               $6,470,000

Add: Net income December 31, 2019                                  $4,500,000

Less: Preferred stock dividends declared and paid           $4,500,000

Less: Common stock dividends declared and paid            $1,000,000

Total adjustments                                                                  $3,500,000

Retained earnings, December 31, 2019                             $9,970,000

The statement shows changes in the balance of retained earnings account during the year. The retained earnings balance at the beginning of the year is adjusted for the net income earned during the year and for the dividends declared and paid to the shareholders.

In this case:

So, total adjustments to the retained earnings balance:

= $4,500,000 + $1,000,000 - $4,500,000.

= $3,500,000

After adjustment on net income and dividends, the retained earnings balance at December 31 2019 is:

= $6,470,000 + $4,500,000 - $3,500,000

= $9,970,000

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In the Legv8 assembly language, dividing by an odd number requires a bit more work than dividing by an even number.

Here's a general algorithm for dividing by an odd number:

Load the dividend into a register, let's say x0.

Load the divisor into another register, let's say x1.

Subtract 1 from the divisor and store the result in x2.

Perform a multiplication of the dividend (x0) and the inverted divisor (x2). The inverted divisor can be obtained by subtracting it from -1. For example, if the divisor is 3, then the inverted divisor would be -1 - 2 = -3. The multiplication result will be in registers x3 and x4, where x3 stores the lower 32 bits and x4 stores the upper 32 bits.

Add the original dividend (x0) to the lower 32 bits of the multiplication result (x3).

Perform an unsigned right shift of the sum by 1 bit, which is equivalent to dividing by 2.

If the divisor was negative, subtract the result from 0. Otherwise, the result is already in the correct register.

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The first step in solving for the missing variable is to move the known values to one side of the equation. In this case, we would move the -123 to the opposite side of the equation:174 - _ = -123174 + 123 = _When we add 174 and 123, we get 297. Thus, the answer is B) 297.In summary, to solve for the missing variable in a subtraction problem, the known variables should be moved to one side of the equation, and the missing variable should be isolated on the other side. In this instance, we know that the difference between 174 and the missing value will result in -123, so moving the -123 to the opposite side of the equation lets us add the known values, thus determining the missing variable.

Answer:

7

Step-by-step explanation:

Hope this helps!

Answer:

7

Step-by-step explanation:

17-6×2+4÷2

=17-6×2+2

=17-12+2

=19-12

=7

Let

y ------> the total payment to the phone company monthly

x -----> the number of text

we have that

March

72.60=0.05x+35

solve for x

0.05x=72.60-35

0.05x=37.6

x=752 text

April

we have

565.85=0.05x+35

solve for x

0.05x=565.85-35

0.05x=530.85

x=10,617 text

Answer:

$42 would be the correct answer.

Let's calculate the total cost of all the items purchased by the computer club:

Cost of 14 portfolios = 14 * $24.59

Cost of 14 binders = 14 * $12.92

Cost of 14 school sweatshirts = 14 * $14.00

Cost of 14 music cases = 14 * $1.25

Cost of 14 phone cases = 14 * $1.99

Cost of 14 mouse pads = 14 * $2.14

Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads

Plugging in the given values:

Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)

Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):

Club's payment = 0.40 * Total cost of all items

The remaining cost will be divided equally among the 14 members:

Remaining cost per member = (Total cost of all items - Club's payment) / 14

Plugging in the values and calculating:

Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))

Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14

So, each member of the computer club will owe the calculated value for "Remaining cost per member".

Hope this is good

The given initial value problem's exact solution: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 i: y(1) ≈ 1. Given the initial value problem:

y' = ty ' (0)

 = 0

We are to determine the exact solution y(t) and compute y(1), and also find the Euler approximation of y on the interval [0, 1] using a step-size h = 0.5 (half step size).

(a) The given initial value problem is a first-order linear differential equation, whose standard form is:

y' + P(t)y = Q(t), where P(t) = 0 and Q(t) = 0. Thus, the integrating factor is:

I(t) = e^∫ P(t)dt

      = e^∫ 0 dt

      = 1.

The exact solution y(t) is obtained by multiplying both sides of the differential equation by the integrating factor,

I(t) = 1, and integrating:

y' + P(t)y = Q(t) becomes

y' + 0y = 0, which implies

y' = 0.

Hence, y(t) = Ce^0 = C, where C is a constant determined using the initial condition y(0) = 1. Therefore, we have:

C = y(0) = 1.

Hence, the initial value problem's exact solution is y(t) = 1, and thus y(1) = 1.

(b) Euler Approximation of y using step-size h = 0.5We have h = Δt = 0.5, t0 = 0, tn = 1. The number of steps, n, is given by:

n = (tn - t0)/h

n = (1 - 0)/0.5

n = 2.

Therefore, we have two grid points:

t0 = 0, and

t1 = 0 + 0.5

  = 0.5

For the Euler approximation of y on [0, 1], we use the formula:

yi+1 = yi + h * f(ti, yi), for i = 0, 1, 2, ..., n - 1, where

f(ti, yi) = tiyi

= (0)(yi)

= 0, for i = 0, 1, 2, ..., n - 1.

Hence, we have:

y0 = y(0) = 1, and

y1 = y0 + h * f(t0, y0)

= y0 + h * 0

= 1 + 0

= 1

Therefore, the Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ y1 = 1. Therefore, y(1) ≈ 1. The exact solution of the given initial value problem is: y(t) = 1, and thus y(1) = 1. The Euler approximation of y(1) using a step-size h = 0.5 is: y(1) ≈ 1.

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Answer:

(2,7), (6,-2),

Step-by-step explanation:

After finding the points you plug them in to the distance formula:

d=√((x2-x1)²+(y2-y1)²)

d=√[(6-2)²+(-2-7)²]

His/her lowered score was most likely due to statistical regression.

The missing options in the question are:

A. compensation rivalry  B. Demoralization C.  Differential selection

D.  Testing E.  Statistical regression

From the question, we have:

A change (whether higher or lower) in the score is caused by statistical regression.

This is so because several variables could attribute to the change in the score.

The relationship between these variables is referred to as statistical regression

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Answer:

2.93 repeating

Step-by-step explanation:

Answer:

90$

Step-by-step explanation:

Let's find the price of one cup of lemonade.

We are given that it costs 44$ for 22 cups (44/22).

Divide 44 by 22 to get the price per cup.

44/22 = 2

Therefore, 2 dollars per cup.

We want to find the amount of money Chloe will have made after selling a total of 45 cups of lemonade-45 times amount per cup

45 cups by 2 dollars per cup = 90$

Answer:

$\(90\)

Step-by-step explanation:

To start off, we will have to divide \(\frac{44}{22}\) to see how much she makes per cup.

After dividing, we notice that the answer is \(2\) or $\(2\) per cup.

To see how much she made for \(45\) cups, we will have to multiply it by \(2\).

\(45(2)=90\)

Hence, Chloe made $\($90\) from selling 45 cups of lemonade.

Hope I helped:D

-Jazz