The length of x 200 feet​

Answer:

(1,2).(1,3),(4,3)

Step-by-step explanation:

The inverse of (1,2).(1,3),(4,3) is (2, 1), (3, 1), (3, 4) and this is not a function as a function is a set X to a set Y, not multiple to one.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The area of the kite is 40 square meters, calculated by using the area of a kite formula.

To calculate the area of a kite, you need to know the lengths of both the diagonals. Once you have those values, you can use the following formula to find the area:

Area = (d1 x d2) / 2

where d1 and d2 are the lengths of the diagonals.

Here is an example of how to use this formula:

Let's say you have a kite with diagonals of 8 meters and 10 meters. To find the area, you would use the formula:

Area = (8 x 10) / 2

Area = 40 square meters

So the area of the kite is 40 square meters.

There are also many online calculators available that can help you find the area of a kite if you enter the values of the diagonals.

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Answer:

199.9

Step-by-step explanation:

The conclusion which we get after analyzing the data given is that there aren't outliers in the displayed data set.

We will calculate the interquartile range and us the rule 1.5 .

The formula to calculate  interquartile range is to subtract the value of first quartile by the value of second quartile.

IQR = Q3 - Q1

Therefore, interquartile range becomes,

IQR = 17 - 13

IQR = 4

Now , we will apply rule 1.5 and for that we will multiply 4 by 1.5 first

4 * 1.5 = 6

and then,

17 + 6 = 23

on applying the rue we will get ,

13 - 6 = 7 .

This value means that there is no outlier in the displayed data set.

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Answer:5

Step-by-step explanation:

Answer:

we have

Remember that

Multiply by  both sides

Simplify

The formula to solve a quadratic equation of the form  is equal to

in this problem we have

so

substitute in the formula

therefore

the answer is the option

x = negative 4 over 3 and x = 5

The graph of the parent absolute value function is decreasing over the interval (-∞, 0). The function exhibits a decreasing behavior as x moves from negative infinity towards zero, where the absolute value decreases.

The parent absolute value function is defined as f(x) = |x|. To determine where the graph of this function is decreasing, we need to identify the intervals where the function's slope is negative.

Let's analyze the behavior of the parent absolute value function:

For x < 0, the function can be rewritten as f(x) = -x. In this interval, the function is a linear function with a negative slope of -1. As x decreases, f(x) also decreases, indicating a decreasing behavior.

For x > 0, the function remains f(x) = x. In this interval, the function is a linear function with a positive slope of 1. As x increases, f(x) also increases, indicating an increasing behavior.

At x = 0, the function is not differentiable since the slope changes abruptly from negative to positive. However, it is worth noting that the function does not strictly decrease or increase at x = 0.

Therefore, we can conclude that the graph of the parent absolute value function is decreasing over the interval (-∞, 0).

In this interval, as x moves from negative infinity towards zero, the function values decrease. The farther away x is from zero (in the negative direction), the larger the absolute value, resulting in a decrease in the function values.

On the other hand, the graph of the parent absolute value function is increasing over the interval (0, ∞), as explained earlier.

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Answer:

the answer is B five

Step-by-step explanation:

three hundred and seven minus three hundred and twelve

Answer:

424527.63

Step-by-step explanation:

I'm not sure if this is what you were asking for but if your question was to round this number to the hundredth or(rounded two decimal places), this would be it.

Answer:

33.3%

Step-by-step explanation:

6/10 x 5/9 which equals 1/3 when simplified, or 33.3%

Answer:

9= coefficient

4= degree

-6m= term

-5= constant

Step-by-step explanation: I hope this helps ;)

Answer:

A (1,1) becomes (-1,1)

B (2,3) becomes (-3,2)

C( 4,3) becomes (-3,4)

D(5,1) becomes (-1,5)

Step-by-step explanation:

By rotation around the origin at the given degree;

Given it is a clockwise rotation;

(x,y) becomes (-y,x)

A (1,1) becomes (-1,1)

B (2,3) becomes (-3,2)

C( 4,3) becomes (-3,4)

D(5,1) becomes (-1,5)

We will have the following:

So, the volume is 486 ft^3.

The value of x and y is solved in the equation  7x + y = 17 and -9x - y = -21 to get

The problem is a simultaneous equation of two unknowns with two equations.

The equations are formed as follows

7x + y = 17

-9x - y = -21

adding the equations will result to

-2x + 0 = -4

x = 2

substitute x = 2 into 7x + y = 17

7x + y = 17

7 * 2 + y = 17

14 + y = 17

isolating y

y = 17 - 14

y = 3

therefore x = 2 and y = 3

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a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer:

$2.25 is answer

perimeter of circular garden=2πr=2×π×1.5=3πfeet

1 foot=$0.75

3πfeet=3×$0.75=$2.25

False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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The required value of h(0) = 5 in the given function is represented in the shown graph.

A graph can be defined as a visual representation or a diagram that represents data or values.

The function is given in the represented graph of g(x)

We have to determine the value of h(0) of the given function in the graph

According to the given graph, we can see that when the value of variable x is 0 and the value of variable y is 5, the domain of the provided function h(x) is 5. This implies that h(0) = 5.

Therefore, the required value of h(0) = 5 in the given function is represented in the shown graph.

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(a) The Null And Alternate hypothesis are stated below,

(b) The value of test-statistic is 3,

(c) The "p-value" is 0.0013,

(d) The hypothesis is rejected because p-value is less than 0.025.

Part (a) : The appropriate null and alternative hypotheses are:

Null hypothesis (H₀): The average LSAT score at the University of Pennsylvania is equal to or less than the national average of 1,300.

Alternative hypothesis (Hₐ): The average LSAT score at the University of Pennsylvania is significantly higher than the national average of 1,300.

Part (b) : To calculate the test-statistic, we use formula : t = (x' - μ)/(s / √n),

where x' = sample mean, μ = hypothesized population mean, s = sample standard deviation, and n = sample size.

Substituting the given values,

We get,

t = (1375 - 1300)/(125 / √25) = 3;

So, the value of the test statistic is 3.

Part (c) : To calculate "p-value", we need to find the probability of getting a t-value as extreme or more extreme than 3, assuming that the null hypothesis is true.

We know that for a two-tailed test at a significance level of 0.03, the p-value is approximately 0.0013.

Part (d) : To test the hypotheses using the p-value, we compare it to the significance-level.

Since the p-value is less than 0.025 (half of the significance level for a two-tailed test), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim.

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The given question is incomplete, the complete question is

The admissions officer for the graduate programs at the university of Pennsylvania believes that the average score on the LSAT exam at his university is significantly higher than the national average of 1,300. an accepted standard deviation for LSAT scores is 125. random sample of 25 scores had an average of 1,375.

(a) State the appropriate null and alternative hypotheses.

(b) Calculate the value of the test statistic

(c) Calculate the p-value.

(d) Use the p-value to test the hypotheses and conduct the test at the 0.025 level.

Answer:

12N

Step-by-step explanation:

force=workdone/distance

=84/7

=12N

hope it helps

Answer:

12n

Step-by-step explanation:

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

Given:

Payment required at the end of each year: P50,000

Number of years until the daughter starts college: 8

Interest rate: 7% (compounded annually)

We can calculate the annual savings using the formula for the present value of an ordinary annuity:

P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}

Where:

P = Present value (amount to be saved annually)

PMT = Payment amount (P50,000)

r = Interest rate per period (7% or 0.07)

n = Number of periods (8)

Let's substitute the given values into the formula:

\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]

Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.

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Answer:

the best way is to follow the law, sales tax is not subject to discount by the seller.

Step-by-step explanation:

both ways result in the same outcome:

improper way, discount after tax

$50+$5(tax)=$55, after discount $55-$11(20%)=$44

proper way, discount before tax

$50-$10(20%)=$40+$4(tax)=$44

To find the area bounded by the curves y = x^2 - 3 and y = 6 - 8x^2, we need to determine the points of intersection between the two curves.

Setting the two equations equal to each other, we have:

x^2 - 3 = 6 - 8x^2

Combining like terms, we get:

9x^2 = 9

Taking the square root of both sides, we find:

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the area between the curves, we need to integrate the difference between the two functions with respect to x, over the interval [-1, 1].

The area is given by:

Area = ∫[a, b] (f(x) - g(x)) dx

In this case, f(x) = 6 - 8x^2 and g(x) = x^2 - 3. Thus, the area is:

Area = ∫[-1, 1] (6 - 8x^2 - (x^2 - 3)) dx

= ∫[-1, 1] (7 - 9x^2) dx

Evaluating this integral, we get:

Area = [7x - (3x^3)/3] from -1 to 1

= [7 - 3/3] - [-7 + 3/3]

= 22/3

Therefore, the area bounded by the curves y = x^2 - 3 and y = 6 - 8x^2 is 22/3 square units.

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The perimeter of a square having area of 36\(cm^{2}\) is equal to 24cm

Square of area A= 36\(cm^{2}\)

We know that a square is a quadrilateral( a closed figure with four sides) with all 4 sides equal in length. Let the measure of one side of a square be x. from the formula to find out the area of a square we know that

Area of a square A = \(x^{2}\)

∴From the data given in the problem

\(x^{2}\) = 36

⇒x = √36

⇒x = 6

∴The measure of one side of a square = x cm = 6 cm

We know that the perimeter of a square = x+x+x+x = 4x

∴The perimeter of the given square = 4x = 4 × 6 = 24cm

Hence we get by solving as done above that for a square of area 36cm^2

the perimeter of the square is 24cm

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scale factor of 5 means it is 5 times bigger.

Suppose the figure was 100.

Now, it is,

100 * 500 = 500

To shrink it back to 100, we would need to:

500 * x = 100

note: 500 times what scale factor (x) we can multiply for it to make 100?

Now,

x = 100/500

x = 1/5

New scale factor needed is: