R
The following transformations are to be performed, in order, on the parallelogram.
• Translate 2 units in a positive y-direction.
. Translate 6 units in a positive x-direction.
• Reflect about the x-axis.
Which of the following describes the location of vertex Q after the transformations?
OA (2,-4)
B. (-2,-8)
C. (2,-8)
OD. (-2,4)

Answer:

The LCM of 4, 5, and 10 is 20, so the smallest perfect square that is divisible by 4, 5, and 10 is 100.

Answer:

4/p

Step-by-step explanation:

4/p=4overp

Answer:

The answer is 80.857

Step-by-step explanation:

Deducte the 16 from the whole number

it A

Step-by-step explanation:

Let x be the cost of a box of apples and y be the cost of a box of oranges.

Danielle : 3x + 2y = 44.5

Esther: 5x + 4y = 81.5

3x + 2y = 44.5 --- 1

5x + 4y = 81.5 --- 2

6x + 4y = 89 --- 3

From 2 and 3, we have:

x = 7.5

Subsitute x = 7.5 into 1

3(7.5) + 2y = 44.5

2y = 22

y = 11

Therefore, a box of oranges costs 11 dollars

Answer:

the car is traveling at a mph of 65 per hour.

Step-by-step explanation:

hope this helped out in some way.

\(\huge\text{Hey there!}\)

\(\mathsf{v + 25 < 5}\)

\(\large\textsf{SUBTRACT 25 to BOTH SIDES}\)

\(\mathsf{v + 25 - 25 < 5 - 25}\)

\(\large\textsf{CANCEL out: 25 - 25 because that gives 0}\)

\(\large\textsf{KEEP: 5 - 25 because it gives us v or solve for it}\)

\(\mathsf{v < 5 - 25}\)

\(\mathsf{5 - 25 = -20}\)

\(\boxed{\boxed{\large\textsf{Answer: }\mathsf{\bf v < -20}}}\large\checkmark\\\boxed{\boxed{\mathsf{\bf It\ is\ an\ O P E N E D\ circle\ on\ -20\ shaded\ to\ the\ left}}}\)

\(\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

The magnitude of the projection of f1 onto the line of action of f2 is 5.55.

The magnitude of the projection of f1 onto the line of action of f2 can be calculated using the dot product of the two vectors. The dot product is given by the formula:

f1 • f2 = |f1| |f2| cos θ

Where f1 • f2 is the dot product of f1 and f2, |f1| and |f2| are the magnitudes of f1 and f2 respectively, and θ is the angle between the two vectors.

To find the magnitude of the projection, we need to find the dot product of f1 and f2 and divide it by the magnitude of f2. The magnitude of the projection is given by:

Magnitude of the projection = (f1 • f2) / |f2|

Let's calculate it step by step:

Step 1: Calculate the dot product of f1 and f2:
f1 • f2 = (3.8 * 9.3) + (6.3 * 3.0) = 35.34 + 18.9 = 54.24

Step 2: Calculate the magnitude of f2:
|f2| = √(9.3^2 + 3.0^2) = √(86.49 + 9) = √95.49 = 9.772

Step 3: Calculate the magnitude of the projection:
Magnitude of the projection = (f1 • f2) / |f2| = 54.24 / 9.772 = 5.55

Therefore, the magnitude of the projection of f1 onto the line of action of f2 is 5.55.

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Ilsa is currently 39 years old.

Let's start by defining the variables:

From the given information, we can create two equations:

We know that Ed is 29, so we can substitute this value into equation 2:

29 - M = 2(I - M)

Simplifying this equation, we get:

2M - I = 29

Now we can use equation 1 to substitute I with M + 5:

2M - (M + 5) = 29

Simplifying this equation, we get:

M = 34

Therefore, Meghan is currently 34 years old. We can use equation 1 to find Ilsa's age:

I = M + 5 = 34 + 5 = 39

So Ilsa is currently 39 years old.

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Answer:

A) $5 × 25 = $75

B) 37.69%

Step-by-step explanation:

The dimension of five dollar bill:

Length = 155.956mm

Width = 66.294

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

Dimension of box :

156 x 66.3 x 66.3 mm

If volume of the 5—dollar bill is 258,473.68mm^3

Then, the Thickness of the five dollar stack equals :

Volume = Length × width × height

258,473.68mm^3 = 155.956mm × 66.294 × height

258,473.68 = 10338.947064 × h

h = (258473.68/10338.947064)

h = 25.000000003288 = 25

Therefore, the amount of money in the box is:

$5 × 25 = $75

Percentage of box volume taken up by $5 bill

Volume of the box:

156 x 66.3 x 66.3 mm = 685727.6399mm^3

Volume of box being occupied by 5 dollar bill = 258,473.68mm^3

(258,473.68 / 685727.6399) × 100

=37.69%

Answer:

This is the correct answer

Step-by-step explanation:

3x+f+6g

Answer:

A) the probability of winning is 0.24%.

B) Yes i will play the game

C) Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Step-by-step explanation:

Expected value of X is denoted by;

E(X) = x1•p1 + x2•p2 +..... xn•pn

Where;

xi is the observation and pi is the probability of xi

Now, let's make p the probability of the winning bet and 1 - p be the probability of losing the game

If the bet is win, the net gain is $98,800 and if the bet is lose, the loss is -$1200.

Hence the probability distribution will be;

For xi = $98,800, pi = p

For xi = -$1,200, pi = 1 - p

So;

E(X) = Σxi.pi

Thus;

1200 = 98800p - 1200(1 - p)

1200 = 98800p - 1200 + 1200p

1200 + 1200 = 100000p

2400 = 100000p

p = 2400/100000

p = 0.024

Thus, the probability of winning is 0.24%.

Despite the fact that the probability of winning is very low, one should play the game because the expected value of the game is positive.

Answer:

1/4

Step-by-step explanation:

Let x = the scale factor

4x = 1  Divide both sides by 4

x = 1/4

the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

To form a third-degree polynomial function with real coefficients such that the complex number 6 + i and the real number 7 are zeros, we can use the fact that complex zeros come in conjugate pairs.

Given that 6 + i is a zero, its conjugate 6 - i will also be a zero. Thus, the zeros of the polynomial are 6 + i, 6 - i, and 7.

To find the polynomial function, we start by forming the factors corresponding to each zero:

(x - (6 + i))   --> This corresponds to the zero 6 + i

(x - (6 - i))   --> This corresponds to the zero 6 - i

(x - 7)        --> This corresponds to the zero 7

To simplify the factors, we multiply them out:

(x - (6 + i))(x - (6 - i))(x - 7)

= ((x - 6) - i)((x - 6) + i)(x - 7)

= ((x - 6)² - i²)(x - 7)

= ((x - 6)² + 1)(x - 7)

Expanding the squared term:

= (x² - 12x + 36 + 1)(x - 7)

= (x² - 12x + 37)(x - 7)

Therefore, the third-degree polynomial function with real coefficients, having the zeros 6 + i, 6 - i, and 7, is:

f(x) = (x² - 12x + 37)(x - 7)

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The multiplication equation with 1/2 as a factor is 1/2 x 8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

We have the number of halves apples. = 8

Now, the expression of 8 halves apples.

= 1/2 x 8

= 4

Thus, the multiplication equation is 1/2 x 8.

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How to write a multiplication equation with 1/2 as a factor. explain. (picture of 8 halved apples)

Answer:

The answer is 58°.

Step-by-step explanation:

☆m<D and m<G are supplementary angles, meaning they equal 180°.

☆The equation: \(2w + 5w - 23 = 180\)

☆Let's solve it.

\(2w + 5w - 23 = 180 \\ 7w - 23 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: + 23 = + 23}{ \frac{7w}{7} = \frac{203}{7} } \\ w = 29\)

☆m<D and m<F is congruent, meaning they equal the same.

☆Solving for D is basically solving for F.

☆We found the value of w so let's plug it in into 2w.

\(m < d \\ 2w\\ 2(29) \\ 58\)

☆m<D equals 58, so m<F equals 58.

The closest measurement to the width of this rectangle in inches is 23.3 in.

To determine the width of the rectangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides.

In this case, we have a rectangle with a length of 9 inches and a diagonal length of 25 inches. Let's assume the width of the rectangle is "w" inches.

Using the Pythagorean theorem, we can set up the equation:

w^2 + 9^2 = 25^2

Simplifying the equation:

w^2 + 81 = 625

Subtracting 81 from both sides:

w^2 = 544

To find the width, we need to take the square root of both sides:

w = √544

Using a calculator, we find that √544 is approximately 23.323.

Now, we need to determine which measurement is closest to the width of the rectangle among the given options: 15.8 in, 16 in, 23.3 in, and 34 in.

The measurement closest to 23.323 inches is 23.3 inches. Therefore, the width of the rectangle is closest to 23.3 inches.

It's important to note that we rounded the square root of 544 to three decimal places for simplicity, so the actual width may be slightly different. However, among the given options, 23.3 inches is the closest measurement to the width calculated using the Pythagorean theorem.

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Answer:

the price of the shoes is $20

Step-by-step explanation:

According to the question, The computation of the price of the shoes is shown below:

Data provided in the question

0.05x = 1

Based on the above information

We now solve for x

x = 1 ÷ 0.05

It can be written as

= 100 ÷ 5

= $20

hence, the price of the shoes is $20

The constraints as a system of linear inequalities include the following;

x + y ≤ 180

x ≥ 40

y ≥ 40

3x + 4y ≤ 640

75x + 60y ≤ 12,900

The solution set for the system of linear inequalities is shown in the coordinate plane below.

In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of SOS Smartcall produced in one day and number of SOS Basic produced in one day respectively, and then translate the word problem into algebraic equation as follows:

Based on the information provided about this cell phone company, the constraints can be written as a system of linear inequalities as follows;

x + y ≤ 180

x ≥ 40

y ≥ 40

3x + 4y ≤ 640.

75x + 60y ≤ 12,900

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The value of the probabilities 1. 0 < P[D] ≤ (0.05 + 0.4P[B]) / P[D L]. ii. 0 < P[D union L] ≤ (0.25 + 0.4P[B]) / P[D L].

Both joint probability and conditional probability may be used to determine the likelihood of an occurrence, but they have different applications. The likelihood of an occurrence provided that another event has already happened is known as conditional probability. On the other hand, joint probability is the likelihood that two or more events will happen simultaneously.

Given that,

P[V ] = 0.7, P[L] = 0.6, P[V L] = 0.35

The probability of P[DL] is given as:

P[DL] = P[D] * P[L | D]

We know that total probability of all outcomes = 1.

Thus,

1 = P[V L] + P[D L] + P[V B] + P[D B]

Substituting the given values:

P[D] = (1 - P[V L] - P[L B] - P[V B]) / P[D L]

P[D] = (1 - 0.35 - P[V B] - (1 - 0.6)P[B]) / P[D L]

P[D] = (0.05 - P[V B] + 0.4P[B]) / P[D L]

P[D] must be positive, so we can say:

0 < P[D] ≤ (0.05 + 0.4P[B]) / P[D L]

Now,

P[D union L] = P[D] + P[L] - P[DL]

0 < P[D] ≤ (0.05 + 0.4P[B]) / P[D L]

0 < P[D union L] ≤ (0.05 + 0.4P[B]) / P[D L] + 0.6 - 0.35

0 < P[D union L] ≤ (0.25 + 0.4P[B]) / P[D L]

Hence, the value of the probabilities 1. 0 < P[D] ≤ (0.05 + 0.4P[B]) / P[D L]. ii. 0 < P[D union L] ≤ (0.25 + 0.4P[B]) / P[D L].

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The complete question is:

a^4 + a^3b - 3a^2b - 4ab^2 - b^3 is an expression in which the terms are arranged in descending order with respect to the power of a and the variables within each term are arranged alphabetically.

A polynomial is a mathematical expression made up of indeterminates and coefficients that only involves the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x. A polynomial is an expression in mathematics that consists of variables (also known as indeterminates) and coefficients and involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. x2 4x + 7 is an example of a polynomial with a single indeterminate x.

Here,

(a+b)(a^3−3ab−b^2),

=a(a^3−3ab−b^2)+b(a^3−3ab−b^2)

=a^4 + a^3b - 3a^2b - 4ab^2 - b^3

The expression such that the terms are in descending order with respect to the power of a and the variables within each term are in alphabetical order is a^4 + a^3b - 3a^2b - 4ab^2 - b^3.

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The acres of vacant land that the county have now will be 144 acres.

Since 36% has been used, the remaining percentage will be:

= 1 - 36%

= 64%

Therefore, the acres of vacant land that the county has now will be:

= 64% × 225

= 64/100 × 225

= 0.64 × 225

= 144

Therefore, the acres of vacant land that the county have now will be 144 acres.

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Answer:

4

Step-by-step explanation:

\(3x+2+3x+3=5x+9 \\ \\ 6x+5=5x+9 \\ \\ x=4\)

Step-by-step explanation:

\(x = \frac{4}{3} \)

\(1. \: 6x + 6 = 5 + 9 \\ 2. \: 6x + 6 = 14 \\ 3. \: 6x = 14 - 6 \\ 4. \: 6x = 8 \\ 5. \: x = \frac{8}{6} \\ 6. \: x = \frac{4}{3} \)

The second derivative of the function g(x) = 5√x + e³x ln(x) is \(-5/(4x^(3/2)) + (6 + 2e³x)/x.\)

To find the second derivative, we first need to find the first derivative of g(x) and then differentiate it again. Let's start by finding the first derivative:

g'(x) = d/dx (5√x + e³x ln(x))

Using the power rule and the chain rule, we can differentiate each term separately:

\(g'(x) = 5(1/2)(x)^(-1/2) + e³x (ln(x))' + e³x (ln(x))'\)

Simplifying further, we have:

g'(x) = 5/(2√x) + e³x (1/x) + e³x (1/x)

Next, to find the second derivative, we differentiate g'(x) with respect to x:

g''(x) = d/dx (5/(2√x) + e³x (1/x) + e³x (1/x))

Using the power rule and the product rule, we can differentiate each term:

g''(x) = -5/(4x^(3/2)) + e³x (1/x)' + e³x (1/x)' + e³x (1/x) + e³x (1/x)

Simplifying further, we have:

\(g''(x) = -5/(4x^(3/2)) + 2e³x/x + 2e³x/x + e³x/x + e³x/x\)

Combining like terms, the second derivative of g(x) is:

\(g''(x) = -5/(4x^(3/2)) + (6 + 2e³x)/x\)

So, the second derivative of the function g(x) = 5√x + e³x ln(x) is \(-5/(4x^(3/2)) + (6 + 2e³x)/x.\)

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Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer:

91.7 pieces per hour

Answer:

91 candies/hour

Step-by-step explanation:

Unit rate is just dividing the number of candies by the time frame. So,

275/3 = 91.67

We need to round down as we can't give a person 2/3 a candy. So,

91 candies/hour

The main effects are room illumination and room temperature. Therefore, 2 main effects are there.

Generally speaking, room temperature refers to a range of air temperatures that people favor indoors. When someone is dressed in regular indoor attire, they feel at ease. Depending on humidity, air circulation, and other factors, human comfort can go beyond this range. Neither heated nor chilled, food or beverages may be served at room temperature.

Temperature ranges are defined as room temperature for certain products and processes in industry, science, and consumer goods.

In a study examining the effect of room illumination (low, medium, high) and room temperature (cold, warm, hot) on test performance, there are 2 main effects possible. The main effects are room illumination and room temperature.

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Answer:

3250

Step-by-step explanation:

50 x 65 = 3250