How do you know ΔJFM ~ ΔFZM? Find h.

Step-by-step explanation:

it still remains 125 it doesn't change

Answer:

10 cans of paint

Step-by-step explanation:

Find the total area of the room

Divide the answer by 10meter squared.

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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Answer:

x = -6

Step-by-step explanation:

All three angles are equal, so all three sides are equal, making this an equilateral triangle

5x+10 = 2x-8

Subtract 2x from each side

5x-2x +10 = 2x-8-2x

3x+10 = -8

Subtract 10 from each side

3x+10-10 = -8-10

3x = -18

Divide by 3

3x/3 = -18/-3

x = -6

Answer:

Step-by-step explanation:

Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:

\(tan(70)=\frac{?}{3}\) and

3tan(70) = ? so

? = 8.24

If you can earn 8 percent on your money, the prize worth to you is: $76,812.50. To calculate the present value of the prize, we need to determine the current worth of receiving $1000 per month for 9 years, given an 8 percent annual interest rate.

This situation can be evaluated using the concept of the present value of an annuity. The present value of an annuity formula is used to find the current value of a series of future cash flows. In this case, the future cash flows are the $1000 monthly payments for 9 years. By applying the formula, which involves discounting each cash flow back to its present value using the interest rate, we find that the present value of the prize is $76,812.50.

This means that if you were to receive $1000 per month for 9 years and could earn an 8 percent return on your money, the equivalent present value of that prize, received upfront, would be $76,812.50.

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Answer:

  (d)  42°

Step-by-step explanation:

An angle bisector divides an angle into two equal parts. The original angle has double the measure of either of the parts.

__

  ∠VSU = 2×∠VST

  9x +3 = 2×(5x -3) . . . . . . . substitute given expressions

  9x +3 = 10x -6 . . . . . . eliminate parentheses

  9 = x . . . . . . . add 6-9x

  ∠VST = 5(9) -3 = 42 . . . . degrees

__

m∠VST = 42°

Answer:

Step-by-step explanation:

the answers below are hard to read

we have 4 cm/year  and the realtor wants to convert in mm/day

4 cm=40 mm  this is our first step

1 year=365 days

we will have 40mm/365days

or 4cm/1 year x 10 mm/365 days

well, since a triangle has a total of 180° interior angles, that means 180 - 75 = 105 is leftover for the other two remaining angles.

now, they're in a 2 : 5 ratio, well, let's simply divide 105° by (2 + 5) and distribute accordingly.

\(2~~ : ~~5\implies 2\cdot \frac{105}{2+5}~~ : ~~5\cdot \frac{105}{2+5}\implies 2\cdot 15~~ : ~~5\cdot 15\implies \text{\LARGE 30~~ : ~~75 }\)

The required two numbers are 9 and 41.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Let x be the lesser number, and y be the greater number.

From the question, we know that:

x + y = 50 (Equation 1: The sum of the two numbers is 50)

y = 5x - 4 (Equation 2: The greater number is four less than five times the lesser number.)

The equation is to solve for one of the variables, and then substitute that value into the other equation to find the other variable.

Then, two numbers are x = 9 and y = 41.

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Answer:

x=5 gg ez

Step-by-step explanation:

Answer:

x =12

Step-by-step explanation:

angle 5 = 65

65 + (11x - 17) = 180 (supplementary angles)

11x + 48 = 180

11x = 132

x = 12

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

Answers are numbered for each one

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

I just took the quiz

The generating function for the given recurrence relation, together with the initial condition . This method provides a powerful tool for solving recurrence relations and deriving closed-form expressions for the terms of the sequence.

A(x) = a_0 + a_1x + a_2x^2 + ...

To solve the recurrence relation using generating functions, we first define the generating function A(x) as the formal power series representation of the sequence a_n. We express each term a_n as a coefficient multiplied by x^n in the generating function.

Using the given recurrence relation, we have:

a_n = 2a_(n-1) + (-3)

Multiplying both sides by x^n and summing over all n, we get:

∑(a_nx^n) = 2∑(a_(n-1)x^n) + ∑((-3)x^n)

Since a_0 = 1, we can rewrite the equation as:

A(x) - 1 = 2x(A(x) - a_0) - 3/(1 - x)

Simplifying the equation, we get:

A(x) - 1 = 2xA(x) - 2x - 3/(1 - x)

Rearranging the terms, we have:

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

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

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

A(x)(1 - 2x) = (1 - 2x)/(1 - x)

Dividing both sides by (1 - 2x), we get:

A(x) = (1 - 2x)/(1 - x)

Now, we can decompose the right-hand side into partial fractions:

A(x) = (1 - 2x)/(1 - x)

= A/(1 - x) + B/(1 - 2x)

Solving for A and B by equating numerators, we find:

1 - 2x = A(1 - 2x) + B(1 - x)

For x = 1/2, we have:

1 - 2(1/2) = A(1 - 2(1/2)) + B(1 - 1/2)

1 - 1 = -A/2 + B/2

B - A = 2

For x = 1, we have:

1 - 2(1) = A(1 - 2(1)) + B(1 - 1)

-1 = -A

A = 1

From B - A = 2, we find:

B - 1 = 2

B = 3

Therefore, the partial fraction decomposition is:

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

Now we can express A(x) as a power series:

A(x) = ∑(x^n) + 3∑(2^n * x^n)

Simplifying the series, we get:

A(x) = ∑(x^n) + 3∑(2^n * x^n)

A(x) = 1/(1 - x) + 3∑(2^n * x^n)

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

Using the geometric series formula, we can write:

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

= 1/(1 - x) + 3∑(2^n * x^n)

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

= 1/(1 - x) + 3∑(2^n * x^n)

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

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

A(x) = 1/(1 - x) + 3/(1 - 2x) * (1 - 2)

= 1/(1 - x) + 6∑(2^n * x^n)

Therefore, the generating function for the given recurrence relation, together with the initial condition, is:

A(x) = 1/(1 - x) + 6∑(2^n * x^n)

Using generating functions, we found the generating function A(x) for the given recurrence relation a_n = 2a_(n-1) + (-3) with the initial condition a_0 = 1. The generating function is given by A(x) = 1/(1 - x) + 6∑(2^n * x^n). The generating function allows us to obtain information about the sequence a_n by extracting the coefficients of the power series. This method provides a powerful tool for solving recurrence relations and deriving closed-form expressions for the terms of the sequence.

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

A

Step-by-step explanation:

This is because you won the first race and you won the second.

(a) Without more information, we cannot determine the initial number of insects. (b) The differential equation satisfied by P(t) is: dP/dt = kP, where k is the growth rate of the insect population.

(c) To find the time it takes for the population to double, we can use the formula:

2P(0) = P(0)e^(kt)

where P(0) is the initial population size. Solving for t, we get:

t = ln(2)/k

(d) Without more information, we cannot determine the time at which the population will equal a certain value.
Hi! To answer your question, I need the specific function P(t). However, I can provide you with a general framework to answer each part of your question once you have the function.

(a) To find the initial number of insects, evaluate P(t) at t=0:
P(0) = [Insert the function with t=0]

(b) To find the differential equation satisfied by P(t), differentiate P(t) with respect to t:
dP(t)/dt = [Insert the derivative of the function]

(c) To find the time at which the population doubles, first determine the initial population, P(0), then solve for t when P(t) is twice that value:
2*P(0) = P(t)
Solve for t: [Insert the solution for t]

(d) To find the time at which the population equals a specific value (let's call it N), set P(t) equal to N and solve for t:
N = P(t)
Solve for t: [Insert the solution for t]

Once you have the specific function P(t), you can follow these steps to find the answers to each part of your question.

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Answer:

252:36

Step-by-step explanation:

7:1

B:G

36:x

1 = 36

7=252

The total number of questions on the test is 50. Hence, the total number of questions on the test is 50.

To find out how many total questions were on the test, we can use proportions. Since we know Rory answered 21 questions correctly and earned an 84% score, we can set up the proportion as follows:

x/100 = 21/tx

= (100t)(21/100)

Now, we can simplify the equation:

x = 21t/5

Rory answered 21 questions correctly, which means 84% of the test was made up of these 21 questions.

Therefore, we can solve for t by setting up the following equation:

0.84t = 21t/50.

84t = 0.42t

21t = 50(21t/50)

21t = 21t

The number of total questions on the test is the value of t.

Thus, the total number of questions on the test is 50. Hence, the total number of questions on the test is 50.

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Answer:

15

Step-by-step explanation:

the arrow is showing exactly in-between the 10 and 20 which means it is 15

The percentage of the original area of wetlands currently left in the United States is approximately 50%. So, the correct

option is 50% (option 3).

Percentages are a way of expressing a proportion or a fraction as a part of 100. It is denoted by the symbol "%".

According to the United States Environmental Protection Agency (EPA), it is estimated that about 50% of the original

wetlands in the contiguous United States have been lost since the 1600s due to human activities such as agriculture,

development, and urbanization. Therefore, the correct answer to the question is 50%.

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The percentage of the original area of wetlands currently left in the United States is approximately 50%.

Wetlands are regions of land where the soil is continually or intermittently soaked with water. Wetlands have a particular hydrology, soil, and vegetation mix that results in specialised ecosystems that offer a variety of ecological functions.

There are many different types of habitats where wetlands can be found, such as coastal locations, interior regions, and high-altitude mountain regions. They come in a variety of shapes, such as marshes, swamps, bogs, fens, and estuaries, and can be freshwater, brackish, or saline.

Wetlands are significant for several reasons. For species, such as migrating birds, amphibians, and fish, they offer crucial habitats. They also aid in removing contaminants from water, lessen the effects of flooding, and give people access to recreational activities. Wetlands are crucial for carbon sequestration as well.
Based on the information provided, the question is asking for the approximate percentage of the original area of wetlands currently left in the United States. The answer is approximately 50%.

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Answer:

x=8 and y=53

Step-by-step explanation:

Given function:

Find x:

y is:

Therefore, x=8 and y=53..

The probability of getting a sample average of 93 or more customers, if the manager had not offered the discount, is zero.

To calculate the probability of obtaining a sample average of 93 or more customers if the manager had not offered the discount, we need to use the concept of sampling distributions and the Central Limit Theorem.

Given that the underlying distribution of the number of customers is normal, with an average of 22 and a standard deviation of 6, we can calculate the standard deviation of the sample mean (also known as the standard error) using the formula:

Standard Error (SE) = Standard Deviation / √(Sample Size)

In this case, the sample size is 5 (for the 5-weekday period), so the standard error is:

SE = 6 / √5 ≈ 2.683

Next, we can calculate the z-score for a sample average of 93 using the formula:

z = (Sample Average - Population Mean) / Standard Error

z = (93 - 22) / 2.683 ≈ 26.359

Finally, we can use the standard normal distribution table or a calculator to find the probability associated with this z-score:

P(Sample Average ≥ 93) = P(z ≥ 26.359)

Since the z-score is extremely large, the probability associated with it is essentially zero.

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The triangle by its sides, we compare the lengths of the sides. Since all three sides have different lengths, the triangle is a scalene triangle.

In other words, none of the sides of a scalene triangle are equal in length. Because of its asymmetrical shape, a scalene triangle does not have any congruent angles or sides. The angles of a scalene triangle are also different from each other, with no two angles being the same. A scalene triangle is often considered the most general type of triangle, and it can have a wide range of shapes and sizes.

To find the measures of the sides of the triangle, we need to use the distance formula, which is:

d = √((x2 - x1)² + (y2 - y1)²)

Using this formula, we can find the lengths of the sides:

JK = √((3 - 1)² + (3 - (-13))²) = √(4² + 16²) = √(272) ≈ 16.49

KL = √((10 - 3)² + (-6 - 3)²) = √(7² + (-9)²) = √(130) ≈ 11.40

LJ = √((1 - 10)² + (-13 - (-6))²) = √((-9)² + (-7)²) = √(130) ≈ 11.40

To classify the triangle by its sides, we compare the lengths of the sides. Since all three sides have different lengths, the triangle is a scalene triangle.

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Find the measures of the sides of triangle JKL, then classify it by its sides J(1, -13), K(3,3), L(10, -6).

If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120

The number q is an odd number

The median of q consecutive integers = 120

Consider the q = 3

Then three consecutive integers will be 119, 120, 121

The largest number = 121

Substitute the value of q in each options

Option A

(q-1) / 2 + 120

Substitute the value of q

(3-1)/2 + 120

Subtract the terms

=2/2 + 120

Divide the terms

= 1 + 120

= 121

Therefore, largest of these integers is (q-1) / 2 + 120

I have answered the question in general, as the given question is incomplete

The complete question is

if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?

a) (q-1) / 2 + 120

b) q/2 + 119

c) q/2 + 120

d) (q+119)/2

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Answer:

20 %

Step-by-step explanation:

70 X 0.20% = 56

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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