​​ What is the area of a rectangle with vertices at ​(0, −4)​, ​(−1, −3)​ , (2, 0), and (3, −1)? Enter your answer in the box.
( ) units²

Answer:

Step-by-step explanation:

E

The missing length of the triangle is the hypotenuse which is given by 12.08

Pythagorean theorem states that the sum of the square of the opposite and adjacent sides of a triangle is equal to the square of the hypotenuse.

a² + b² = c²

c = √a² + b²

a = 11

b = 5

c = √a² + b²

= √11² + 5²

= √121 + 25

= √146

c = 12.08304597359

Approximately,

c = 12.08

Consequently, the hypotenuse of the triangle is approximately 12.08

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Answer:

It is true

Step-by-step explanation:

the area of the rectangle is

72•66=4752

the area of the semi circle is

π33^2= 3421.19/2= 1710.595

4752-1710.595= 3041.405

rounded to nearest tenth

3041.4

Answer:

slope is -2/3

Step-by-step explanation:

\(3y = - 2x + 6 \\ y = \frac{ - 2}{3} x + 2\)

The Length of FD = 26 cm

According to the given information

FE = FC = 12cm

As FE, FC both are radius of circle

The tangent segments to a circle from a external point are equal

Hence

CD = ED

13x - 16 = 4x + 11

13x - 4x = 11 + 16

9x = 27

x = 27/9

x = 3

CD = 13x - 16

     = 13 × 3 - 16

     = 23 cm

ED = 4x + 11

     = 4 × 3 + 11

     = 23 cm

In Triangle FED

FE is perpendicular to ED

According to Pythagoras Theorem

\(FD^{2}= FE^{2}+ED^{2}\)

       = \(12^{2}+ 23^{2}\)

       = 673

FD = 26 cm approx.

The Length of FD = 26 cm

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The two column proof is written as follows

Statement                                                           Reason

line LQ || Line NP                                   given

< Q is congruent to < N                         Alternate interior angles

< L is congruent to < P                           Alternate interior angles

< LMQ is congruent to < PMN               Vertical angle theorem

Δ LMQ similar Δ PMN                            Definition of similar triangles

Similar triangles are triangles that have the same shape but may differ in size. In other words, they have the same angles but their sides may be of different lengths.

If two triangles are similar, it means that their corresponding angles are equal, and their corresponding sides are in proportion to each other.

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A linear inequality is given to us and we need to drag each number to show whether or not it is a

solution to the inequality .The given inequality to us is ,

\(\bf\implies 4x - 12 \leq 24 \\\\\bf\implies 4x \leq 24+12 \\\\\bf\implies 4x \leq 36 \\\\\bf\implies x \leq \dfrac{36}{4}\\\\\bf\implies x\leq 9\\\\\bf\implies \boxed{\red{\bf x \in [9,-\infty ) }}\)

Hence , x can have all values less than or equal to 9. That is x E [ 9 , -∞ ) .

Options provided to us are ,

Hence values less than or equal to 9 are 9 , 6 , (-5) and 0 .

Answer:

6441.46 (2d.p.)

Step-by-step explanation:

47×89= 4183÷(845)=0.571×879000=502434.319÷78= 6441.46

The Supreme Court case in 2010 that confirmed a 2008 ruling that individuals as well as states have a right to bear arms is McDonald v. Chicago.

What is the McDonald v. Chicago case?

The McDonald v. Chicago case is a United States Supreme Court case that was decided in 2010. This case ruled that the right to bear arms was applicable to individual states and cities through the Due Process Clause of the Fourteenth Amendment to the United States Constitution.

This case was a follow-up to the 2008 decision in District of Columbia v. Heller, which determined that the Second Amendment to the Constitution protects an individual's right to possess a firearm for lawful purposes, including self-defense, in their home.

The McDonald v. Chicago case built on this ruling by clarifying that this right also applies to state and local governments. Therefore, McDonald v. Chicago is the Supreme Court case in 2010 that confirmed a 2008 ruling that individuals as well as states have a right to bear arms.

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Answer:

15:20

Step-by-step explanation: Well we know that we have 20 hearts and 15 flowers. In the question, it mentions flowers first so we put the flowers first in the ratio. flowers:hearts or 15:20

15 : 20 hope it helped:)

Answer:

A

Step-by-step explanation:

1/2(2/3y) - 1/3y = 5

1/3y - 1/3y = 5

0 ≠ 5

No Solutions

These are linear equations and, when graphed, are parallel

The probability is approximately 0.9429. Rounded to four decimal places, the probability is 0.9429. Therefore, the probability that the sample mean would be less than 107.81 liters is about 0.9429 or 94.29%.

To solve this problem, we can use the central limit theorem, which states that the distribution of sample means will be approximately normal with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

First, we need to calculate the standard error of the mean, which is the standard deviation of the sampling distribution of the mean:

standard error = standard deviation / square root of sample size
standard error = 26 / sqrt(220)
standard error ≈ 1.756

Next, we can standardize the sample mean using the formula for z-scores:

z = (sample mean - population mean) / standard error
z = (107.81 - 105) / 1.756
z ≈ 1.574

Finally, we can use a standard normal distribution table or calculator to find the probability of getting a z-score less than 1.574.

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Answer:

Option R

Step-by-step explanation:

The point S is the end point of ray.

What is line?

A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.

According to the given information,

A ray's endpoint is a single point that denotes the conclusion of a line segment. In this instance, only one of the three lines that extend from point S contains a ray's terminus.

We must comprehend a ray's qualities in order to establish which location is the endpoint of a ray.

A ray originates at a single place and travels in one direction indefinitely. The beginning of the line segment is the endpoint of a ray.

We can see from the provided lines that the vertical line runs from point S via point R. Since it doesn't go on forever in one direction, this is not a ray example.

Similar to the vertical line,

The horizontal line also extends from point S through point T,

But it does not go on forever.

The third line is a ray because it is infinitely long in one direction and extends right and up from point S via point U.

Therefore, point S, the beginning of the line, is the endpoint of this ray.

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The arc length of the polar curve r = e^4θ where 0 ≤ θ ≤ 2π is approximately 32.59 units.

To find the arc length of a polar curve, we use the formula:

L = ∫[a,b] √[r² + (dr/dθ)²] dθ

In this case, we have:

r = e^4θ

dr/dθ = 4e^4θ

0 ≤ θ ≤ 2π

So, the arc length is:

L = ∫[0,2π] √[e^8θ + 16e^8θ] dθ

L = ∫[0,2π] e^4θ √(17) dθ

Using integration by substitution with u = e^4θ, we get:

L = (1/4√(17)) [u√(u² + 1)]|[u=e^4θ]^[u=1]

L = (1/4√(17)) [(e^4θ)√(e^8θ + 1) - √2]

L = (1/4√(17)) [(e^(4π)√(e^(8π) + 1) - √2) - (√(e^8 + 1) - √2)]

L ≈ 32.59

So the arc length of the polar curve r = e^4θ where 0 ≤ θ ≤ 2π is approximately 32.59 units.

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Answer:

\(y=-2x+5\)

Step-by-step explanation:

For one line to be perpendicular to another, their slopes must multiply to -1. So, we really want the line with slope \($-1/(1/2)$ = -2$\) that passes through the point \((1, 7)\).

Recall the point-slope form of a line. If you have a point \($(x_{1}, y_{1})$\) and a slope \(m\), the line through that point with the given slope is \($y-y_{1}=m(x-x_{1})$\). Plugging in our given point and slope gives our line: \(y-7=-2(x-1)\)(point-slope form).

We can convert this line to slope-intercept form, the most common form by expanding the right side and adding \(7\) to get \(y\) by itself:

\(y-7=-2x+2\)

\(y=-2x+5\)

Answer:

1)950 l don't know я з України хахахах незнаю шо писать

Answer:

1.07=x-780/28

Step-by-step explanation:

Miss credit score: 810

Answer:

810

Step-by-step explanation:

Answer:

f(x) = 7

Step-by-step explanation:

In an even function of x, all powers of x are even (2, 4, 6, etc.).  

In this case we have f(x) = 7, or 7x^0, which is an even function because the power (0) of x is even.

50% of Susan's trips to class would take more than 50 minutes.Answer: 50%.

Given data: The average time it takes for Susan to get to her class is 50 minutes. And the standard deviation is 5 minutes. We have to find the proportion of Susan's trips to class would take more than 50 minutes.

Solution:To find out the required proportion, we need to calculate the Z-score first.

\(Z-score = (X - μ)/σ\)

where, X = the value of the random variable (Susan's time to get to class)

μ = the population mean (average time)σ = the standard deviation

Here, X = 50 minutes

μ = 50 minutes

σ = 5 minutes

Z-score = (X - μ)/σ

= (50 - 50)/5

= 0

The Z-score table indicates that the area under the standard normal distribution curve for a Z-score of 0 is 0.5. Therefore, 50% of Susan's trips to class would take more than 50 minutes.Answer: 50%.

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Answer:

73%

Step-by-step explanation:

The correct statement regarding the residuals is given as follows:

Yes, the residuals are relatively small.

For a data-set, the definition of a residual is that it is the difference of the actual output value by the predicted output value, that is:

Residual = Observed - Predicted.

Hence, on the graph, the residuals are given by the vertical distance between each point on the line.

The points are close to the line in this problem, meaning that the residuals are small and the model is a good fit.

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we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

To find the value of sin 20°, we can use the trigonometric identity sin(2θ) = 2sin(θ)cos(θ).

Given sin(θ) = √3/2 and 0° < θ < 90°, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

We need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Given cos(θ) = -√2/2 and -π/2 < θ < 0, we can find the value of sin 20° as follows:

sin(20°) = 2sin(10°)cos(10°)

Similarly, we need to find the values of sin(10°) and cos(10°) to compute sin(20°).

Since you provided conflicting information for the values of sin 0 and cos 0, it is not possible to determine the value of sin 20° without accurate values for sin 0 and cos 0. Please provide the correct values, and I will be happy to help you further.

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Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

so your problem is 2x+y=18 and y=4x+6

solution

solve for the first variable in one of the equations then substitute the result into the other equation

point form:

(2,14)

equation form

x=2, y=14

Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

A crucial periodic function in trigonometry is the cosine function.

Utilizing the unit circle will make understanding the cosine function the simplest.

Draw a unit circle on the coordinate plane, center the angle at the origin, and label one side as the positive x-axis for the supplied angle measure.

The point where the other side of the angle intersects the circle has an x-coordinate of cos(), and a y-coordinate of sin().

According to our answer-

B = 2pi/T, where T is the period and T = 1/f is the frequency; T is the period

Determines horizontal phase shift by using

C =determines vertical shift.

When solving the given issue, D = midline = 5

A = amplitude = 2.

B = 2pi/T = 2pi/(2/3) = 3pi since frequency = 3/2 means that the period is T = 2/3, which is the reciprocal of the frequency.

C = 0.

The result of adding everything up is A = 2, B = 3pi, C = 0, and D = 5.

so,

A*cos(B(x-C)) + D = y

y = 2*cos(3pi(x-0)), plus 5.

y = cos(3pi*x) * 2 * + 5

Hence, Y = 2*cos(3pi*x) + 5 is the cosine function with a midline of 5, an amplitude of 2, and a frequency of 3/2.

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The variance of the distribution is 0.964.

What is the variance?

The squared deviation from the mean of a random variable is referred to as variance in probability theory and statistics. The square of the standard deviation is another common way to express variation. Variance is a measure of dispersion, or how far apart from the mean a group of data are from one another.

Here, we have

Given:

x    P(r)

0    0.130

1      0.346

2     0.346

3      0.154

4       0.026

We have to find the variance of the distribution.

Var(X) = E(X²) - (E(X))²...(1)

E(X²) = ∑x²Pₓ(X=x)

E(X²) = 0×0.130 + 1²×0.346 + 2²×0.346 + 3²×0.154 + 4²×0.026

E(X²) = 3.532

Now,

E(X) = ∑xPₓ(X=x)

E(X) =  0×0.130 + 1×0.346 + 2×0.346 + 3×0.154 + 4×0.026

E(X) = 1.604

Now, we put the value of E(X) and E(X²) in equation (1) and we get

Var(X)  = 3.532 - (1.604)²

Var(X)  = 0.95918

Var(X)  = 0.964

Hence, the variance of the distribution is 0.964.

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Answer:

2 \(\frac{3}{4}\)

Step-by-step explanation:

Substitute the given values into the expression

2 ( \(\frac{1}{16}\) + (\(\frac{1}{4}\) )² ) + 5(\(\frac{1}{2}\) )

= 2 ( \(\frac{1}{16}\) + \(\frac{1}{16}\) ) + \(\frac{5}{2}\)

= 2 (\(\frac{2}{16}\) ) + \(\frac{5}{2}\)

= 2 (\(\frac{1}{8}\) ) + \(\frac{5}{2}\)

= \(\frac{1}{4}\) + \(\frac{10}{4}\)

= \(\frac{11}{4}\)

= 2 \(\frac{3}{4}\)

If a red ball is drawn at random from one of the urns, there is a higher probability (2/3) or 0.667 that it came from Urn A rather than Urn B. This suggests that Urn A is more likely to be the source of the red ball.

To calculate the probability that Urn A was chosen given that a red ball was drawn, we can use Bayes' theorem.

Let's denote the events:

A = Urn A was chosen

B = Urn B was chosen

R = A red ball was drawn

We want to find P(A|R), the probability that Urn A was chosen given that a red ball was drawn.

According to Bayes' theorem:

P(A|R) = (P(R|A) * P(A)) / P(R)

P(R|A) is the probability of drawing a red ball given that Urn A was chosen. Since Urn A has four red balls and four black balls, the probability of drawing a red ball from Urn A is 4/8 = 1/2.

P(A) is the prior probability of choosing Urn A, which is 0.5 since there is an equal chance of selecting either Urn A or B.

P(R) is the overall probability of drawing a red ball, which can be calculated by considering all possible scenarios:

P(R) = P(R|A) * P(A) + P(R|B) * P(B)

P(R|B) is the probability of drawing a red ball given that Urn B was chosen. Since Urn B has two red balls and six black balls, the probability of drawing a red ball from Urn B is 2/8 = 1/4.

P(B) is the prior probability of choosing Urn B, which is also 0.5.

Substituting the values into the equation:

P(R) = (1/2) * (1/2) + (1/4) * (1/2) = 3/8

Now we can calculate P(A|R) using Bayes' theorem:

P(A|R) = (P(R|A) * P(A)) / P(R) = (1/2 * 1/2) / (3/8) = 4/6 = 2/3

Therefore, the probability that Urn A was chosen given that a red ball was drawn is 2/3 or approximately 0.667.

In conclusion, if a red ball is drawn at random from one of the urns, there is a higher probability (2/3) that it came from Urn A rather than Urn B. This suggests that Urn A is more likely to be the source of the red ball.

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Based on the given percentages, the number of adult American men who think the federal government should fund stem cell research is 67,860,000.

The percentage is the ratio of a value in relation to another.

The percentage is determined as the quotient of the numerator divided by the denominator, multiplied by 100.

The percentage of men who approve of stem cell research = 58%

The percentage of men who do not approve of the research = 39%

The percentage of men who have no opinion on the research = 3%

The estimated number of adult American men = 117,000,000

Thus, based on the percentage of men who approve of stem cell research, the number is 67,860,000. (117,000,000 x 58%).

Federal Government Funding of Stem Cell Research

                          Total      Men     Women

Should fund       55%       58%        52%

Should not fund 41%       39%         44%

No opinion          4%          3%           4%

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