can someone please help me with number 8?!

The length of the other base of the trapezoid is 8 units.

The area of a trapezoid is given by the formula

A = (b1 + b2) × h / 2

where b1 and b2 are the lengths of the bases, h is the height, and A is the area.

We are given that the height of the trapezoid is 4 units, and the area is 36 square units. So we can plug in these values into the formula and solve for (b1 + b2)

36 = (b1 + b2) × 4 / 2

36 = (b1 + b2) × 2

18 = b1 + b2

We are also given that one of the bases (b1) has length 10 units. Using the equation above, we can solve for b2:

18 = b1 + b2

18 = 10 + b2

b2 = 8 units

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The given question is incomplete, the complete question is:

One of the bases of a trapezoid has length 10 units, and the height of the trapezoid is 4units. If the area of the trapezoid is 36 square units, then how long is the other base of the trapezoid?

Answer:

B and C

Step-by-step explanation:

I chose these bisector angles because they both are at a 90 degree angle

Answer:

The scale factor is 1/2

Step-by-step explanation:

I have a different one but it was supposed to be 1/4

After considering the given options we conclude that the evaluated best rated channel is Tel EVision, which is Option B under the condition that Tamela compared the rates of three cable companies.

The cable company that has the best rate per channel is evaluated by applying the principle of division
The rate per channel is found out by using  the proportions in the context of this problem, dividing the total price by the measure of channels.
Hence the rates for each company are given as by:
Then TV Watchers: 30.8/70 = $0.44 per channel.
Tel-EVision: 46.4/145-$0.32
Channels Galore: 40.8/120 = $0.34

Hence, the best rate is the lower rate, which is the causing factor for the answer given at the beginning of the problem.
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Answer:

1. 2 1/4

2. 8.25

3. 8 6/8

4. 51.18

5. 56.875

6. $6.22

7. 62.14

Step-by-step explanation:

The vertex of the parabola y = f(x + 1) is (1, -1).

To find the vertex of the parabola given by the equation y = f(x + 1), we need to determine the effect of the transformation on the vertex coordinates.

The vertex form of a parabola is given by y = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.

In the given equation, y = f(x + 1), we can see that the transformation is a horizontal shift of 1 unit to the left. This means that the new vertex will be located 1 unit to the left of the original vertex.

Given that the original vertex is (2, -1), shifting 1 unit to the left would result in a new x-coordinate of 2 - 1 = 1. The y-coordinate remains the same.

Therefore, the vertex of the parabola y = f(x + 1) is (1, -1).

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Answer:

I honestly forgot

Step-by-step explanation:

Answer:

\((x-1)^2 + (y+4)^2 = 100\\\\\)

=====================================================

Work Shown:

\((x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\\)

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

to get r² we simply use the given radius,

here, r = 10

so, we get,

r² = 100

now, circle that is centered at (1,-4)

so, we have,

(x - 1)² + (y + 4)² = 10²

we get, equation in standard form is therefore

(x - 1)² + (y + 4)² = 100

Hence, The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

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Answer:

D. 160

Step-by-step explanation:

The probability of a flight will not arrive on time is 231/1000

Probability is the function that measures the chances that an outcome of a random event will be as expected. In this way you can measure how likely it is that an event will happen.

Probability requested is equivalent to:

Flights arrive on time= 769

Total flights = 1000

P(arrive on time) = Flights arrive on time / Total flights

P(arrive on time) = 769/1000

P (not arrive on time) = 1 - 769/1000

P (not arrive on time) = (1000 - 769)/1000

P (not arrive on time) = 231/1000

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Answer:

----------------------

Without plotting the points we can compare the lengths of segments AB and CD.

We see the x-coordinates of A and B are equal (-3), same with points C and D (1).

Hence the distance between them is determined by the difference of y-coordinates.

Therefore, the segments have lengths:

Hence the segments are congruent.

The 5 most common Pythagorean triples are ( 3 , 4 , 5 ) , ( 5 , 12 , 13 ) ,

( 6 , 8 , 10 ) , ( 9 , 12 , 15 ) , and ( 15 , 20 , 25 ) .

Pythagorean triples:

Any three positive integers that completely satisfy the Pythagorean theorem is considered a Pythagorean triple number. According to the theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a right triangle. A Pythagorean triple consists of the three sides of a right triangle. In this article, you will learn how to create multiple Pythagorean triples.

A Pythagorean triple consists of the three natural numbers a, b, c such that a² + b² = c². These triples are usually written as (a, b, c), examples

(3, 4, 5) are well known. If (a, b, c) is a Pythagorean triple, then (ka, kb, kc) is also a Pythagorean triple for all natural k. A primitive Pythagorean triplet is a triplet in which a, b, and c are coprime (i.e., have no common divisor greater than 1). For example, (3, 4, 5) is a basic Pythagorean triple, but (6, 8, 10) is not.

A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle and is necessarily a right triangle.

This name comes from the Pythagorean theorem, which states that the side lengths of each right triangle satisfy the formula a² + b² =c². A Pythagorean triple gives the length of three integers of the sides of a right triangle. However, right triangles whose sides are not integers do not form a Pythagorean triple. For example, a triangle with sides a = b = 1 and c = √2 but, (1,1,2) is not a Pythagorean triple because √2 is not an integer. Also, the numbers 1 and √2 do not have a common multiple because √2 is irrational.

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The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

Answer:

43 or 25

Step-by-step explanation:

Plug all of the numbers into the equation.

(i'm not sure if the 3x2 is a letter or not, so i'll just solve it anyways for both.)

3(4)(2) + (2(5) +(3)(3) = 43

If it's not a letter then

3x2 + (2(5)+3(3)) = 25

The number of lattice points that lie on the hyperbola x^2-y^2 are 2 times the number of integers between 0 and the maximum y value.

The coordinates of a point on a graph can be described as integers, also known as lattice points.

To find out how many lattice points are on the hyperbola x^2 - y^2,

we can calculate the number of points that satisfy the equation.

To do this, we can set the equation equal to 0 and solve for x and y. Doing this, we can find that the equation has two solutions:

(x,y) = (sqrt(y^2),y) and (x,y) = (-sqrt(y^2),y).

Since there are two solutions for every y value, this means that the number of lattice points on the hyperbola is equal to twice the number of y values.

Therefore, the number of lattice points on the hyperbola is 2 times the number of integers between 0 and the maximum y value.

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Answer:

Never is the correct answer.

Step-by-step explanation:

The 1st and 4th terms are the extremes, the 2nd and 3rd terms are the means.

Answer:

i don't exactly know what the question is but based off what i understand x=140

Step-by-step explanation:

Answer:

what are you trying to solve, be more elaborate on your question

Step-by-step explanation:

Less workers = more hours

OR the answer might be worded as

More workers = less hours

The percentile rank for a score of 80 is 70%.

The percentile rank for a score of 68 is 57%.

Carmela's percent score is 77.25%.

Carmela's percentile rank is 75%.

Carmela is eligible for a job with the government.

a) For a score of 80, there are 21 out of 30 scores that are equal to or less than 80

Therefore, the percentile rank for a score of 80 is (21/30) x 100% = 70%.

b) For a score of 68, there are 17 out of 30 scores that are equal to or less than 68.

Therefore, the percentile rank for a score of 68 is (17/30) x 100% = 57%.

2a) Carmela's percent score is (618/800) x 100% = 77.25%.

b) Carmela's percentile rank:

520 individuals scored less than Carmela's score of 618.

Therefore, her percentile rank is (520/700) x 100%

Carmela's percentile rank = 75%.

c) To be in the top 20% of individuals writing the exam, Carmela's score needs to be greater than or equal to the score of the 80th percentile.

The score of the 80th percentile is 0.8 * 700 = 560.

Therefore, the top 20% of individuals scored 560 or higher.

Carmela's score of 618 places her in the top 20% of individuals and makes her eligible for a job with the government.

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The first and third linear systems are possible and the second and the fourth have no solution.

(a) A linear system of 3 equations and 3 unknowns can have infinitely many solutions if the equations are linearly dependent or if the system represents a plane intersecting a line or three planes intersecting at a single point. An example of an augmented row-reduced echelon matrix that satisfies this description could be:

[ 1  0  0 |  3 ]

[ 0  1  0 | -2 ]

[ 0  0  0 |  0 ]

(b) A linear system of 3 equations and 4 unknowns cannot have exactly one solution. This is because there are more unknowns than equations, which leads to an underdetermined system. Therefore, there will be infinitely many solutions or no solutions at all.

(c) A linear system of 3 equations and 2 unknowns can have exactly one solution if the equations represent three lines that intersect at a single point. An example of an augmented row-reduced echelon matrix that satisfies this description could be:

[ 1  0 |  2 ]

[ 0  1 | -3 ]

[ 0  0 |  0 ]

(d) A linear system of 3 equations and 2 unknowns cannot have a unique solution. This is because there are more equations than unknowns, resulting in an overdetermined system. Therefore, there will be either infinitely many solutions or no solutions at all.

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The smallest p-value is always associated with the z-score that is furthest away from the mean. This is because the tails of the normal distribution curve have less area and thus represent smaller p-values. The correct answer is option (d) z = -3.24.

In a hypothesis test, there are two hypotheses: the null hypothesis (H0) and the alternative hypothesis (H1).

The null hypothesis is the one we're testing, while the alternative hypothesis is the one we're trying to support or prove.

A two-tailed alternative hypothesis is one in which we are interested in whether a parameter is not equal to a certain value, as opposed to one-tailed alternative hypotheses, in which we are interested in whether the parameter is greater than or less than a certain value.

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Answer:what

Step-by-step explanation:what does this mean

Answer:

x=2a*b

Step-by-step explanation:

(2x-x)/2a=b

x=2a*b

The sum of the interior angles for a pentagon is 540°

Sum of Interior Angles of a Pentagon :

The interior angles of a pentagon sum up to 540 degrees.. Regardless of how regular or irregular the pentagon is, this is true. By dividing the whole amount by 5, we can calculate the size of each internal angle in the case of regular pentagons. To determine the measure of a missing angle in the situation of irregular pentagons, we must first know the measurements of other angles.

Any pentagon's internal angles add up to 540° in the same way. This holds true regardless of how regular or irregular the pentagon is. By using the polygon angle sum formula, the following sum is obtained:

(n-2)180(n−2)×180°

where n represents the polygon's number of sides. We have n = 5 in the case of a pentagon. Consequently, utilizing the formula:

=(n-2)180=(n−2) ×180°

= (5-2) 180= (5−2) ×180°

= (3) 180= (3) ×180°

= 540=540°

Consequently, a pentagon's interior angles add up to 540 degrees.

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The cosine of angle J is given as follows:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the rules presented as follows:

For the angle J in this problem, we have that:

Hence the cosine of angle J is given as follows:

\(\cos{J} = \frac{4}{\sqrt{98}} \times \frac{\sqrt{98}}{\sqrt{98}}\)

\(\cos{J} = \frac{4\sqrt{98}}{98}\)

\(\cos{J} = \frac{2\sqrt{98}}{49}\)

As 98 = 2 x 49, we have that \(\sqrt{98} = \sqrt{49 \times 2} = 7\sqrt{2}\), hence:

\(\cos{J} = \frac{14\sqrt{2}}{49}\)

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Answer:

0.632

Step-by-step explanation:

divide 16 ÷ 25.3 rurhrhr rhrhrhdh dhejejej ejehejeje behe

This gives us the following linear dependence:

c₀ + c₂ * b + c₃ * b * d + ... = 0

c₁ + c₂ * a + c₃ * (a² + b * a) + ... = 0

To find a linear dependence among the elements of S, we need to determine if there exist scalars c₀, c₁, c₂, c₃, ... such that the linear combination

c₀ * Id + c₁ * A + c₂ * A² + c₃ * A³ + ... = 0

where 0 represents the zero matrix.

Let's consider the terms in the linear combination:

c₀ * Id + c₁ * A + c₂ * A² + c₃ * A³ + ... = [ c₀ * I₂ + c₁ * A + c₂ * A² + c₃ * A³ + ... ]

where I₂ represents the 2x2 identity matrix.

If this linear combination equals the zero matrix, it means that the coefficients c₀, c₁, c₂, c₃, ... are not all zero, which implies a linear dependence among the elements of S.

Now, let's consider the terms in the linear combination one by one:

c₀ * I₂ = [ c₀ 0 ; 0 c₀ ]

c₁ * A = [ a * c₁ b * c₁ ; c * c₁ d * c₁ ]

c₂ * A² = [ a² * c₂ + b * c₂ * c ; a * c * c₂ + b * d * c₂ ; a * c * c₂ + b * d * c₂ ; c² * c₂ + d * c₂ ]

c₃ * A³ = [ a³ * c₃ + b * c₃ * (a * c + b * d) ; a² * c * c₃ + b * d * c * c₃ ; a * c * c₂ + b * d * c₂ ; a * c² * c₃ + b * d * c₃ + c * d * c₃ ]

We can see that there are dependencies between the terms. Specifically, we have:

A² = a * A + b * I₂

A³ = a² * A + b * a * A + b * d * I₂ = (a² + b * a) * A + b * d * I₂

Substituting these dependencies into the linear combination equation, we have:

c₀ * I₂ + c₁ * A + c₂ * (a * A + b * I₂) + c₃ * ((a² + b * a) * A + b * d * I₂) + ... = 0

Now, let's combine like terms:

(c₀ + c₂ * b + c₃ * b * d + ...) * I₂ + (c₁ + c₂ * a + c₃ * (a² + b * a) + ...) * A = 0

For this equation to hold for all matrices A, we must have the coefficients of I₂ and A equal to zero. This gives us the following linear dependence:

c₀ + c₂ * b + c₃ * b * d + ... = 0

c₁ + c₂ * a + c₃ * (a² + b * a) + ... = 0

This shows that there is a linear dependence among the elements of S.

Now, let's consider the value of dim(U), where U = span(S), for various A.

Since S contains powers of A, the dimension of U depends on the powers of A that are linearly independent.

If all the powers of A up to A^k are linearly independent, then dim(U) = k+1. If some of the powers are linearly dependent.

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Answer:

True .

Step-by-step explanation:

It's true because it sure is possible to calculate the approximate number of years by the rule of 82 .Thank you :)