Segment EF is rotated 90° clockwise around the origin and then translated by (-6, y + 7).
The resulting segment E" F" has coordinates E" (-4, 5), F"(-1,-2).
What are the coordinates of the segment EF?

does anyone know this??

If the price changes from $105,300 to $104,399, It means that there is a decrease in price.

Decrease = 105,300 - 104,399 = $901

The percentage decrease is gotten by dividing the decrease by the initial price and multiplying by 100. It becomes

By rounding up to the nearest whole number, it becomes 1%

The percent decrease is 1%

Answer:

3

Step-by-step explanation:

Given expression:

[tex]\dfrac{(14^2-13^2)^{\frac{2}{3}}}{(15^2-12^2)^{\frac{1}{4}}}[/tex]

Following the order of operations, carry out the operations inside the parentheses first.

Apply the Difference of Two Square formula  [tex]x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

to the operations inside the parentheses in both the numerator and denominator:

[tex]\implies \dfrac{((14+13)(14-13))^{\frac{2}{3}}}{((15+12)(15-12))^{\frac{1}{4}}}[/tex]

Carry out the operations inside the parentheses:

[tex]\implies \dfrac{((27)(1))^{\frac{2}{3}}}{((27)(3))^{\frac{1}{4}}}[/tex]

[tex]\implies \dfrac{(27)^{\frac{2}{3}}}{(81)^{\frac{1}{4}}}[/tex]

Carry out the prime factorization of 27 and 81.

Therefore, rewrite 27 as 3³ and 81 as 3⁴:

[tex]\implies \dfrac{(3^3)^{\frac{2}{3}}}{(3^4)^{\frac{1}{4}}}[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies \dfrac{3^{(3 \cdot \frac{2}{3})}}{3^{(4 \cdot \frac{1}{4})}}[/tex]

[tex]\implies \dfrac{3^2}{3^1}[/tex]

[tex]\textsf{Apply exponent rule} \quad \dfrac{a^b}{a^c}=a^{b-c}:[/tex]

[tex]\implies 3^{(2-1)}[/tex]

[tex]\implies 3^1[/tex]

[tex]\implies 3[/tex]

Given that,

→ ((14² - 13²)^⅔)/((15² - 12²)^¼)

Evaluating the problem,

→ ((14² - 13²)^⅔)/((15² - 12²)^¼)

→ ((196 - 169)^⅔)/((225 - 144)^¼)

→ (27^⅔)/(81^¼)

→ ((3³)^⅔)/((3⁴)^¼)

→ (3²)/3

→ 9/3 = 3

Therefore, the solution is 3.

Okay, here we have this:

Considering the provided information, we are going to calculate what is the percent of Container A that is empty after the pumping is complete, so we obtain the following:

First we will calculate the volume of each cylinder using the following formula:

Applying:

After pumping the water from container A to container B, the following amount remains in container A:

Remaining amount of water in A=256π-200π

Remaining amount of water in A=56π

Now, we obtain that the empty percentage that results in A is:

Empty percentage that results in A=200/256*100

Empty percentage that results in A=78.125%

Empty percentage that results in A≈78.1%

EXPLANATION:

Given;

We are given the step by step procedure to find the height of a triangle.

Required;

We are required to determine if the step by step solution is true or false.

Solution/Explanation;

When finding the height of a triangle, we may use the Pythagoras theorem or we may use trigonometric ratios for right angled triangles.

Note that the Pythagoras' theorem is also used only for right angled triangles and one of the three sides will be the height of the triangle.

When required to calculate the the height of a triangle given a line perpendicular to the base (that is, at a 90 degree angle with the base), and passing through the vertex opposite the base, the triangle can be effectively split into two parts along the perpendicular and the perpendicular line will then become the height. Also depending on the amount of information available, we may use the Pythagoras' theorem (if the other two sides are given). Alternatively we may use the trigonometric ratios if one other side and one of the angles is given.

Therefore,

ANSWER:

FALSE

The area formula for trapezoids is

Where B = 9 cm, b = 7 cm, and A = 80 cm2. Let's replace these dimensions to find h

We have the next points (1,2) and (3,-6)

Answer: We have to sketch the angle and find the reference angle for the 20:

The reference angle is an angle between the terminal side of the angle and the x-axis.

The provided angle is:

Sketch of the angle:

Therefore the reference angle is:

Probability that the student got a 'C' GIVEN they are female = number of females that got a C in the test/number of females

From the information given,

number of females that got a C in the test = 12

number of females = 30

Thus,

Probability that the student got a 'C' GIVEN they are female = 12/30

We would simplify the fraction by dividing the numerator and denominator by 6. Thus,

Probability that the student got a 'C' GIVEN they are female = 2/5

In the year 2022, the predicted number of miles of travels would be 3.601 trillion miles.

The term model has to do with the way that we can be able to predict the interaction between variables. In this case, we can see that there is a line of best fit as we can see from the complete question which is in the image that have been attached to his answer.

The question is trying to find out the number of miles that people are going to travel in the year 2022 based on the line of best fit that have been given in the question that we have attached here.

We know that; y = 0.048x + 1.345. Recall that x here stands for the number of years that have passed since the year 1975. We now have 47 years passed since 1975 thus;

y =  0.048(47) +  1.345

y = 3.601 trillion miles

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The slope of a line perpendicular to other line is the negative reciprocal of the slope.

This means, if the slope of a line is x, the slope of a perpendicular line will be:

Then , the first thing we should do is to find the slope of f(x).

To find the slope of a line that passes two points P and Q we use:

In this case, we can use P = (1, 4) and Q = (-3, 2)

Then:

Now, we know that the slope of g(x) is perpendicular to f(x) which has a slope of 1/2

The reciprocal is:

And to make it the negative, we multiply by (-1):

Thus, g(x) has a slope equal to -2

Given:

Given the steps of the proof of the equation

Required: Expression missing on the thrd step

Explanation:

The second step is

from which leads to

The expression missing on the third step is

Option D is correct.

Final Answer:

The ratio of votes has been given as;

This means the ratios can be expressed mathematically as;

If there were 4275 YES votes, then this means the number 4275 represents 5/13.

Therefore,

Where x represents the total number of votes. Therefore,

Answer:

x = 34 degrees, y = 73

Step-by-step explanation:

Since the triangle is isosceles, the base angles are congruent (equal). First, find the supplement angle by doing 180-107, which gives you 73 for the base angles, which include y. Now there is a theorem that states the 2 remote interior angles are equivalent to the exterior angle, which means 107 = 73 + x. This gives us x = 34

I hope this helps!

Use the same process for the second one.

Exponential Decay

The model for the exponential decay of a quantity Mo is:

Where λ is a constant and t is the time.

The half-life of a radioactive isotope is the time it takes to halve its initial mass. It can be calculated by making M = Mo/2 and solving for t:

It's required to calculate the remaining mass of an isotope of Mo = 175 gr after 5 half-lives have passed, that is. we must calculate M when t is five times the value calculated above.

Substituting in the model:

Simplifying (the value of λ cancels out):

Rounding to the nearest gram, 5 grams of the radioactive isotope will be left after the required time.

EXPLANATION

Let's see the facts:

Unit price = $6.75

Number of packs = 3

The unit price is given by the following relationship:

The unit price is 2.25 $/pack

Given the function:

g(x) = 3^x + 1

we are asked to plot the graph of the function.

Using the table:

x y

-2 10/9

-1 4/3

0 2

1 4

2 10

The graph:

The expomential functions have a horizontal asymptote.

The equation of the horizontal asymptote is y = 1

Horizontal Asymptote: y = 1

To find the domain is finding where the question is defined.

The range is the set of values that correspond with the domain.

Domain: (-infinity, infinity), {x|x E R}

Range: (1, infinity0, {y|y > 1}.

The length of piece one will be 15 inch, the length of piece two will be 23 inch and the length of third piece will be 31 inch as per the given conditions of "You cut a piece of wood that is 69 inches long. The wood is cut into 3 pieces. The second piece is 8 inches longer than the first. The third piece is 8 inches longer than the second piece."

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, also known as a system of equations or an equation system.

In mathematics, an equation is an expression or a statement that consists of two algebraic expressions that have the same value and are separated from one another by the equal symbol. It is an otherwise stated statement that has been mathematically quantified.

Here,

according to the question,

x+y+z=69

y=x+8

z=y+8

z=x+16

3x+24=69

3x=45

x=15

y=23

z=31

According to the conditions specified, piece one will be 15 inches long, piece two will be 23 inches long, and piece three will be 31 inches long. "You chop a 69-inch-long piece of wood. Three pieces of the wood are cut out. Eight inches longer than the first piece is the second one. Eight inches longer than the second piece is the third one."

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To solve this problem, you find the value of x that will make the function to be = 0 by substituting the likely values from the option into the eqaution and checking if after the simplification the value is 0

so checking

we have

Given:

• Appleton: Mean = 45; Mean Absolute deviation = 9.5

• Coalvale: Mean = 31; Mean Absolute deviation = 15.9

• Summerton: Mean = 43; Mean Absolute deviation = 16.1

Using the given data, let's select the correct statements.

From the data we can see the difference between the Mean Absolute Deviations of team Coalvale and Summerton is (16.1 - 15.9) = 0.2

This means the ages of team Coalvale and Summerton vary about the same about.

The Mean Absolute deviation of Appleton is far from other mean absolute deviation. This means the players ages for team Appleton vary less than others.

Therefore, the correct statements are:

• Team Coalvale's players ages and Team Summerton's players ages vary about the same amount.

• Team Appleton's players ages vary less than do Team Summerton's players ages.

ANSWER:

• Team Coalvale's players ages and Team Summerton's players ages vary about the same amount.

• Team Appleton's players ages vary less than do Team Summerton's players ages.

It is important to notice that side VP is the hypothenuse of the triangle, and VT is the adjacent leg to 30°.

To find VP, we just have to use the cosine function

The number of miles that she need to bike on the last day so that her average (mean) is 63 miles per day is 62 miles.

The mean is the average of a set of numbers. Let the biking of the last day be represented as x. This will be:

(61 + 67 + 66 + x) / 4 = 64

(194 + x) / 4 = 64

Cross Multiply

194 + x = 64 × 4

194 + x = 256

Collect like terms

x = 256 - 194

x = 62

The miles is 62 miles.

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Given

A graph of a polynomial with the real coefficients.

To find:

a) The intervals in which the function is increasing is,

b) The value of x at which the unction has local minima.

From the graph shown in the figure, there is only one local minimum at x=-2.

c) The sign of the functions leading coefficient is positive.

Since the graph is moving upwards.

d) The degree of the function is 5.

Solution

Given that:

Option A.

5/30 = 1/6 = 0.16666667

13/25 = 0.52

30/50 = 3/5 = 0.6

13/10 = 1.3

As you can see the fraction which is equal to a repeating decimal is:

5/30 = 1/6 = 0.16666667

Answer

The two coordinates on the line include

(0, -1.5) and (-4.5, 0)

The graph of the line is presented below

Explanation

We are asked to plot the grap of the given equation of a straight line.

To do that, we will obtainthe coordinates of two points on the line.

These two points will preferrably be the intercepts of the line.

y = (-x/3) - (3/2)

when x = 0

y = 0 - (3/2)

y = -(3/2)

y = -1.5

First coordinate and first point on the line is (0, -1.5)

when y = 0

0 = (-x/3) - (3/2)

(x/3) = -(3/2)

x = (-3) (3/2)

x = -(9/2)

x = -4.5

Second coordinate and second point on the line is thus (-4.5, 0)

So, to plot the line, we just mark these two points and connect them to each other.

The graph of this line is presented under 'Answer' above.

Hope this Helps!!!

17 Liters

Step 1

find the total area to paint

we need to assume the floor wont be painted, so the total are to paint is

the are of a rectangle is gieven by:

so, the total area will be

so , the area to paint is 680 square meters

Step 2

finally, to know the number of Liters need , divide the amount ( total area) by the rate of the paitn, so

so, the total paint needes is 17 Liters, and paint comes in 1-L cans, so

therefore, the answer is

17 Liters

I hope this helps you

EXPLANATION:

-We must first identify the points that correspond to the x-axis and the points that correspond to the y-axis.

-To calculate the slope, then we apply the formula of the slope or rate of change which is the following:

-now we must correctly locate the points in the formula.

-

Given:

Let's add the fractions above.

To perform the addition, find the Lowest Common Multiple (LCM) of the denominators.

LCM of 2 and 4 = 4

Divide each denominator by the LCM and multiply the result with the numerator.

Thus, we have:

Convert the improper fraction (5/4) to mixed fraction.

We have:

ANSWER: