What the answer to this

Answer:

The image of point O after these reflections is (-3, -1)

Step-by-step explanation:

For a point (x, y) a reflection across the line y = a transforms the point to:

(x, a + (a - y))

and for a reflection across the line x = b, the new point will be:

(b + (b - x), y)

Then if we start with the point (-1, -3) and we do a reflection across the line y = -2

the new point is:

(-1, -2 + (-2 - (-3))

(-1, -2 + 1) = (-1, -1)

now we do a reflection across the line x = -2

Then the new point is:

(-2 + (-2 - (-1)), -1)

(-2 + (-2 + 1), -1)

(-2 - 1, -1)

(-3, -1)

The image of point O after these reflections is (-3, -1)

If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.

To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.

The area of a rectangle is calculated by multiplying its length and width. If the dimensions of a rectangle are multiplied by a factor of k, then the new area of the rectangle is equal to k times the original area.

In this case, the dimensions of the original rectangle are multiplied by 1/2, which means that the new length and width of the rectangle are 1/2 times the original length and width. Therefore, the new area of the rectangle is equal to (1/2) times the original length multiplied by (1/2) times the original width. This can be simplified to 1/4 times the original area. Therefore, the area of the new rectangle is one-fourth of the area of the original rectangle.

Therefore, If the dimensions of a rectangle are multiplied by 1/2, its area will be multiplied by 1/4, which means the new area will be one-fourth of the original area.

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Answer:

Step-by-step explanation:

line AB, line CD and line EF

line AB parallel to line CD

line CD perpendicular to line EF.

Answer:

\(\textsf{Slope}: \quad \dfrac{1}{3}\)

\(\textsf{Point-slope form}: \quad y-8=\dfrac{1}{3}(x-9)\)

\(\textsf{Slope-intercept form}: \quad y=\dfrac{1}{3}x+5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Slope formula}\\\\slope ($m$) $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\are two points on the line.\end{minipage}}\)

Define the given points:

Substitute the defined points into the slope formula:

\(\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{4-8}{-3-9}=\dfrac{-4}{-12}=\dfrac{1}{3}\)

\(\boxed{\begin{minipage}{4.6 cm}\underline{Point-slope formula}\\\\$y-y_1=m(x-x_1)$\\\\where $m$ is the slope and\\ $(x_1,y_1)$ is a point on the line.\end{minipage}}\)

Substitute point (9, 8) and the found slope into the point-slope formula:

\(\implies y-8=\dfrac{1}{3}(x-9)\)

\(\boxed{\begin{minipage}{3.8 cm}\underline{Slope-intercept formula}\\\\$y=mx+b$\\\\where $m$ is the slope\\ and $b$ is the $y$-intercept.\end{minipage}}\)

To write the equation of the line in slope-intercept form, rearrange the point-slope formula:

\(\implies y-8=\dfrac{1}{3}(x-9)\)

\(\implies y-8=\dfrac{1}{3}x-3\)

\(\implies y-8+8=\dfrac{1}{3}x-3+8\)

\(\implies y=\dfrac{1}{3}x+5\)

The calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

To determine the number of significant figures in the answer to the calculation (3.4876)/(4.11+1.2), we need to consider the number of significant figures in the given values and apply the rules for significant figures in mathematical operations.

First, let's analyze the number of significant figures in the given values:

- 3.4876 has five significant figures.

- 4.11 has three significant figures.

- 1.2 has two significant figures.

To perform the calculation, we divide 3.4876 by the sum of 4.11 and 1.2. Let's evaluate the sum:

4.11 + 1.2 = 5.31

Now, we divide 3.4876 by 5.31:

3.4876 / 5.31 = 0.6567037...

Now, let's determine the number of significant figures in the result.

Since division and multiplication retain the least number of significant figures from the original values, the result should be reported with the same number of significant figures as the value with the fewest significant figures involved in the calculation.

In this case, the value with the fewest significant figures is 5.31, which has three significant figures.

Therefore, the answer to the calculation (3.4876)/(4.11+1.2) should be reported with three significant figures: 0.657.

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Answer:

100π

Step-by-step explanation:

Area of a circle formula: πr²

The radius would be half of 20 m

So the radius, r is 10 m

Plug that in

πr²=π·10²=100π

Answer:

$175

Step-by-step explanation:

Since it’s only one month you just add 150 by 25

Correct me if I am wrong

Answer:

Let heads represent a person who exercises the given amount, and let tails represent a person who doesn’t. Because there are three people, flip the coin three times (once for each person) and note the results of each set of three flips. If all three flips land on tails, it would mean that all three randomly selected people do not exercise as much as 50% of Americans do.

Step-by-step explanation:

Answer:

Carlos could play a total of 15 games

Step-by-step explanation:

In the grand opening of JoJo's arcade:

First 3 games are free

75 cents after the first 3 free games

Carlos has $9 saved from his allowance

75 cents = $0.75

Number of games Carlos could play = Total saved allowance / cost per game after 3 free games

= $9 / $0.75

= 12 games

Total number of games Carlos could play = free games + games from his allowance

= 3 + 12

= 15 games

Carlos could play a total of 15 games

Answer:

p(x) = ( x +2) (3x - 1) ( x-3)

Step-by-step explanation:

We know the equation for a polynomial with given zeros is

f(x) = a(x-b1) (x-b2)...... where b are the zeros and a is a constant

Since the zeros are x = -2, x = 1/3, and x =3.

p(x) = a( x - -2) (x - 1/3) ( x-3)

p(x) = a( x +2) (x - 1/3) ( x-3)

We can pick the value of a since we are not given a point on the function.  Pick a=3

p(x) = 3( x +2) (x - 1/3) ( x-3)

Rewriting the second term

p(x) = ( x +2) (3x - 1) ( x-3)

Answer:

25°

Step-by-step explanation:

The intersection angle = 93 degrees. It can be found by adding the large arc (161) + the small arc (unknown) and dividing the sum by 2.

So lets be a little formal here.

Arc BC = 161

x = 93

Arc AD = ?

x = (Arc AD + Arc(BC))/2

93 = (ArcAD + 161) / 2         Multiply both sides by 2

93*2 = (arc AD + 161

186 = arc AD + 161             Subtract 161 from both sides

186 - 161 = arc AD

25 = arc AD

The net of a triangular pyramid consist of a total of 4 triangles. it has 4 faces with the base being one of them which is also in the shape of a triangle.

A net of the triangular pyramid is the pattern formed when the surface of it is laid out flat showing each triangular face of the figure, therefore we know that the net of a triangular pyramid consist of a total of 4 triangles.

Triangular pyramid  is a pyramid which has a triangular base. In geometry, vertices are essentially corners. All triangular-based pyramids, either regular or irregular, have four vertices.

It has 6 edges, 4 faces, 4 vertices.

A regular triangular pyramid has equilateral triangles all four faces

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Answer:

37x10^-4

Step-by-step explanation:

a) Required probability is p⁴.

b) The probability is (1-p)×p³

c) The probability that the pattern T, H, H, H occurs before the pattern H, H, H, H is (1 - p) × p³ × (1 - p⁴).

To determine the probabilities of different outcomes, we'll consider the concept of a geometric distribution. In this case, the geometric distribution models the number of trials needed to achieve a success (in this case, getting heads) for a given probability.

The probability of getting heads (H) on a single coin flip is denoted as p, while the probability of getting tails (T) is 1 - p.

a. Probability of the pattern H, H, H, H:

The probability of getting heads four times in a row is simply the product of the individual probabilities since the coin flips are independent. Therefore, the probability is

\(P(H, H, H, H) = p * p * p * p = p^4\)

b. Probability of the pattern T, H, H, H:

The probability of getting tails followed by three heads is the product of the probabilities of getting tails followed by three heads.

Therefore, the probability is

\(P(T, H, H, H) = (1 - p) * p * p * p = (1 - p) *p^3\)

c. Probability of the pattern T, H, H, H occurring before H, H, H, H:

To calculate this probability, we can consider a series of independent trials until either pattern occurs.

Let's define:

A = Pattern T, H, H, H occurs before H, H, H, H

B = Pattern H, H, H, H occurs before T, H, H, H

To calculate P(A), we'll use the concept of conditional probability

\(P(A) = P(A|B) * P(B) + P(A|B') * P(B')\)

In this case:

\(P(A|B) = 0 \)

(since if pattern B occurs first, pattern A cannot occur first)

\(P(B) = p^4\)

(probability of pattern H, H, H, H occurring before pattern T, H, H, H)

P(A|B') is the probability that pattern T, H, H, H occurs before pattern H, H, H, H. This is the same problem as part (b). Therefore, we can say:

\(P(A|B') = P(T, H, H, H) = (1 - p) * p^3\)

P(B') is the probability that pattern H, H, H, H occurs before pattern T, H, H, H. Since these patterns are complementary and mutually exclusive, we have:

\(P(B') = 1 - P(B) = 1 - p^4\)

Substituting these values into the formula for P(A), we get:

\(P(A) = 0 * p^4 + (1 - p) * p^3 * (1 - p^4)\)

Simplifying further:

\(P(A) = (1 - p) * p^3 * (1 - p^4)\)

Therefore, the probability that the pattern T, H, H, H occurs before the pattern H, H, H, H is (1 - p) * p³ * (1 - p⁴).

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The numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses 10 symbols to represent all possible numbers.

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There are 10 members on the board, so there are 10 ways to elect a president, 9 ways to elect a vice president, 8 ways to elect a secretary, and 7 ways to elect a treasurer.

This is because each position can be filled by any of the members, except for the position that the member is already filling. For example, the president can be elected from any of the 10 members, but the vice president must be elected from the remaining 9 members.

The company sea esta has ten members on its board of directors, so it has a lot of different options for how to elect a president, vice-president, secretary, and treasurer. One way to elect a president would be to have the board members vote on who they want to be president.

Another way to elect a president would be to have the members of the company vote on who they want to be president. There are many different ways to elect officers, and it really depends on the company and what they want to do.

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Answer:

3x(x+6)

=(3x)(x+6)

=(3x)(x)+(3x)(6)

=3x2+18x

Step-by-step explanation:

Answer:

125 questions

Answer:

125 questions

Step-by-step explanation:

The number of students who for between 4-8 hours and obtained an average above 80 expressed as a percentage is 11.7%.

Rather than expressing values in fractions. A certain portion of a whole lot or item can be multiplied by 100 to get its equivalent value expressed as a percentage .

From the table , the number of students who studied for 4-8 hours and also had a grade above 80 is 11.

Total number of students in the sample = 94

Expressing as a percentage;

(11/94) × 100%

= 0.117 × 100%

= 11.7%

Hence, the percentage value is 11.7%

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Answer:

....

Step-by-step explanation:

The equation representing the relationship between dy/dt and dx/dt that is rate at which the length of the woman's shadow is changing is equal to option C. dy/dt =4× (dx/dt).

Woman is walking towards the street lamp.

Rate at which the length of her shadow is changing as she walks.

Let us consider the height of the street lamp as h = 20 feet.

Height of the woman be w = 5 feet.

And the distance between the woman and the street lamp be x.

Length of the woman's shadow be y.

Triangles formed by the woman, the street lamp, and their shadows are similar.

Sides of similar triangles are in proportion,

This implies,

h / y = (h + w) / (x + y)

Solving for y we get,

⇒h(x + y) = y(h + w)

⇒hx + hy = hy + wy

⇒y = hx / w

Rate at which the length of the woman's shadow is changing by differentiating both sides of this equation with respect to time,

⇒ dy/dt = h(dx/dt) / w

Substitute in the values for dx/dt = 3 ft/s, h and w we get,

⇒dy/dt = (20)(3) / 5

⇒dy/dt = 60 /5

⇒dy/dt =12

⇒dy/dt = 4(3)

⇒dy/dt =4× (dx/dt)

Therefore, the rate at which the length of the woman's shadow is changing is given by option C. dy/dt =4× (dx/dt) .

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Answer:

ok so this might look confusing what you have to do is just ignore part of the problem in this one just ignore apples, blueberries and zucchini their not important

on saturday it looks like he sold 14 pounds on sunday 15 pounds

14+15=29

and each pound is 3.50 so

29*3.5= 29*3+29*0.5

29*3=87

29*0.5=14.5

87+14.5=101.5

c

Hope This Helps!!!

a) the calculated t-value (2.344) is greater than the critical t-value (1.984), we reject the null hypothesis. b) The p-value associated with a t-value of 2.344 is approximately 0.010 (two-tailed test).

(a) To determine if the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, we can conduct a two-sample t-test.

Let's define our null hypothesis (H0) as "there is no significant difference in average yearly reading growth between Program A and Program B" and the alternative hypothesis (H1) as "Program A leads to higher average yearly reading growth than Program B."

We have the following information:

For Program A:

Sample size (na) = 64

Sample mean (xA) = 1.2

Sample standard deviation (sA) = 0.26

For Program B:

Sample size (nb) = 100

Sample mean (xB) = 1.0

Sample standard deviation (sB) = 0.28

To calculate the test statistic, we use the formula:

t = (xA - xB) / sqrt((sA^2 / na) + (sB^2 / nb))

Substituting the values, we have:

t = (1.2 - 1.0) / sqrt((0.26^2 / 64) + (0.28^2 / 100))

t ≈ 2.344

Next, we determine the critical t-value corresponding to a 5% significance level and degrees of freedom (df) equal to the smaller sample size minus 1 (df = min(na-1, nb-1)). Using a t-table or statistical software, we find the critical t-value for a two-tailed test to be approximately ±1.984.

(b) To calculate the p-value, we compare the calculated t-value to the t-distribution. The p-value is the probability of observing a t-value as extreme as the one calculated, assuming the null hypothesis is true.

From the t-distribution with df = min(na-1, nb-1), we find the probability corresponding to a t-value of 2.344. This probability corresponds to the p-value.

(c) Based on the results of the hypothesis test, where we rejected the null hypothesis, we can conclude that there is evidence to suggest that Program A leads to higher average yearly reading growth compared to Program B.

(d) To calculate the probability of a Type II error (β), we need additional information such as the significance level (α) and the effect size. The effect size is defined as the difference in means divided by the standard deviation. In this case, the effect size is (xA - xB) / sqrt((sA^2 + sB^2) / 2).

Let's assume α = 0.05 and the effect size (xA - xB) / sqrt((sA^2 + sB^2) / 2) = 0.1. Using statistical software or a power calculator, we can calculate the probability of a Type II error (β) given these values.

Without the specific values of α and the effect size, we cannot provide an exact calculation for the probability of a Type II error. However, by increasing the sample size, we can generally reduce the probability of a Type II error.

In summary, the differences in average yearly reading growth between Program A and Program B are significant at a 5% level, suggesting that Program A leads to higher average yearly reading growth. The p-value of the test results is approximately 0.010. Based on these findings, it may be recommended to adopt Program A over Program B. The probability of a Type II error (β) cannot be calculated without specific values of α and the effect size.

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Answer:

4y^2 + 12y + 9

Step-by-step explanation:

Unclear what your (2y + 3) represent.  If it's the length of one side of the square, please say so.

If that's the case, then the area of the square is (2y + 3)^2, or 4y^2 + 12y + 9, which is a trinomial.

Answer:

Step-by-step explanation:

-7x-2y=-13

x-2y=11

(subtract the first inequality from the second)

-7x-x = -8x

-2y-(-2y) = 0

-13-11= -24

-8x=-24

x=3

(now place the x value into the second inequality)

3-2y=11

-2y=11-3

-2y=8

y=-4

x=3

y=-4

Answer: x=3, y= -4

Steps: The two equations are," -7x-2y=-13 " and " x - 2y = 11 "

Let's take the 2nd equation and find for x

x - 2y = 11

x= 11 + 2y

Now place the value of x in the first equation:

-7(11+2y) - 2y = -13

-77 - 14y - 2y = -13

- 16y= -13 + 77

y= 64/-16

y= -4

Now that you found the value of y, place it again on the 2nd equation:

x - 2(-4) =11

x + 8= 11

x=11-8

x= 3

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Answer:

19 inches and 60 inches

Step-by-step explanation: