If the measure of Angle F G H is 64 degrees and the measure of Angle E G D is (4 x + 8) degrees, what is the value of x?


Lines E H and D F intersect at point G.

14

18

64

116

Tom will pay a total of $13,424.20 in interest over the term of the loan.

The formula to calculate the monthly payment for an amortized loan is given by:  `P = r(PV) / [1 - (1 + r)^(-n)]`Where P is the monthly payment, r is the interest rate per month, PV is the present value of the loan, and n is the number of payments or the total number of months.

Substituting the given values, we get:P = 0.0052083333 × 44,000 / [1 - (1 + 0.0052083333)^(-7×12)]P = 632.32Therefore, Tom's monthly payment is $632.32 (rounded to the nearest cent).b. Since Tom pays the monthly payment each month for the full term, his total amount to repay the loan is equal to the present value of the loan.

Therefore, the total amount to repay the loan is $44,000 (rounded to the nearest cent).c. The total amount of interest paid over the term of the loan can be calculated as the difference between the total amount repaid and the principal amount of the loan.

Therefore, the total interest paid is: Total interest paid = Total amount repaid - Principal amount of the loan Total interest paid = $57,424.20 - $44,000Total interest paid = $13,424.20

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Answer:

?

Step-by-step explanation:

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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Answer:

The answer is

-7/8 + 3/10

Step-by-step explanation:

See the picture

Hope you understand :)

Answer:

(5, 4 )

Step-by-step explanation:

under a counter- clockwise about the origin of 180°

a point (x, y ) → (- x, - y ) , then

(- 5, - 4 ) → (- (- 5), - (- 4) ) → (5, 4 )

The slope of the tangent line to the given polar curve at the point specified by the value of theta is m= 1/√3.

A straight line that just touches a plane curve at a particular location is referred to as the tangent line (or tangent) to the curve in geometry. It was described by Leibniz as the line connecting two points on the curve that are endlessly near to one another. A line passes through the point (c, f(c)) on the curve and has a slope of f'(c), where f' is the derivative of f. This is more properly referred to as being a tangent of the curve y = f(x) at a point x = c. Curves in n-dimensional Euclidean space and curves in space have a comparable definition.

The tangent line is "passing" through the point of tangency—the intersection of the tangent line and the curve as it travels.

Given,

r=6cosθ

f'(θ)=-6sinθ

θ=π/3

dy/dx=(f'(θ)sinθ+f(θ)cosθ)/(f'(θ)cosθ-f(θ)sinθ)

dy/dx=( -6sinθsinθ+6cosθcosθ)/(-6sinθcosθ-6cosθsinθ)

=(6cos²θ-6sin²θ)/-12 sinθcosθ

=6(cos²θ-sin²θ)/-6(2sinθcosθ)

=6cos2θ/-6sin2θ

=-cos2θ/sin2θ

=-cot2θ

Slope of the given polar curve at θ=π/3 is

m=dy/dx

m= -cot(2(π/3))

m = cot(-2π/3)

m= 1/√3

Therefore, the slope of the tangent line to the given polar curve at the point specified by the value of theta is

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Answer: multiply both sides by 2

The average number of beads that the girls have is 63

Let's start by using algebra to represent the given information:

Let b be the number of beads that Sally has.

Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.

Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).

Putting these together, we can write the equation:

(3/4)b = b + 18

Solving for b, we get:

b = 72

So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.

The average number of beads that the girls have is (72 + 54)/2 = 63 beads

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Answer:

1/2×3/1

3/2 is the answer for your question I hope it is correct

Answer: its the 4th question

Step-by-step explanation: Its 64 squared because 8x8 is 64 its a perfect square

Step-by-step explanation:

8.5 × -3 = a

-25.5 = a

b - 7 = -11

b = -4

c -(-3) = 15

c = 12

d - 4 = 32

d = 36

if you still have any doubts feel free to ask

Answer:

14.9

if you need it

side a is 24.04867

9514 1404 393

Answer:

  c ≈ 14.9 cm

Step-by-step explanation:

I personally like to use a proportion that has the unknown in the numerator. The angle opposite c is ...

  C = 180° -150° -12° = 18°

Then the law of sines tells us ...

  c/sin(C) = b/sin(B)

  c = sin(C)·b/sin(B) = sin(18°)/sin(12°)(10 cm)

  c ≈ 14.9 cm

Answer:

2 x 2+ 8 x 0= 4

Step-by-step explanation:

Answer:

c.16

hope this helps some one, have a nice day :)

Step-by-step explanation:

i just took the quiz and got it correct

The polynomial 5x³ + x + x cannot be factored by removing a common monomial factor. Therefore, the correct choice is OB: The polynomial is prime.

A polynomial is considered prime when it cannot be factored into a product of lower-degree polynomials with integer coefficients.

In this case, we can see that there is no common monomial factor that can be factored out from all the terms in the polynomial. The terms 5x³, x, and x have no common factor other than 1. Thus, the polynomial cannot be factored further, making it prime.

It's important to note that not all polynomials can be factored, and some may remain prime. Prime polynomials are significant in various areas of mathematics,

such as algebraic number theory and polynomial interpolation. In certain contexts, it may be desirable to have prime polynomials to ensure irreducibility or simplicity in mathematical expressions or equations.

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Answer:

the answer is 10-3n please do you get it

Answer:

1. C

2.C

3.A

4.B

5.D

Step-by-step explanation:

100 % for AL Connecions Mathematical Patterns

Answer:

22% reduction

Step-by-step explanation:

Find the percent decrease by dividing the difference in amounts by the original amount.

Find the difference:

115 - 90 = 25

Divide this by the original amount:

25/115

= 0.217

So, the percent decrease is 21.7%. Round this to the nearest whole percentage:

= 22

The percent reduction in fuel used was approx. 22%

Answer: f(x) and g(x) both represent y of the equations

Step-by-step explanation: f(x) and  g(x) both represent the y of the equation for example f(x)=mx+b or g(x)+mx+b both would be to find y of that specific equation and that would also make them inverses because you could use the table to label the inverses on a graph.

The average speed of the car is 51 kph. The result is obtained by dividing the total distance by the total time taken.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

The speed itself can be found by the following formula.

s = d/t

Where

A car can travel at the following speeds.

Find the average speed!

We should convert the unit of time from minutes to hour.

t₃ = 45 minutes = ¾ h

t₄ = 15 minutes = ¼ h

We count the time and distance in each travels.

t₁ = d₁/s₁ = 20/40 = ½ h

t₂ = d₂/s₂ = 25/50 = ½ h

d₃ = s₃×t₃ = 60 × ¾ = 45 km

d₄ = s₄×t₄ = 48 × ¼ = 12 km

Avg speed = (s₁ + s₂ + s₃ + s₄)/(t₁ + t₂ + t₃ + t₄)

Avg speed = (40 + 50 + 60 + 48)/(½ + ½ + ¾ + ¼)

Avg speed = 102/2

Avg speed = 51 kph

Hence, the car has the average speed of 51 kph.

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Step-by-step explanation:

-3n + 3 > -11

-3n > -14

3n < 14

n < 14/3

14/3 = 4.66666666...

the only positive integers that are smaller than 4.666666... are

4, 3, 2, 1

their sum is

4+3+2+1 = 10

The z-score associated with a 95% confidence level is approximately 1.96.

The z-score associated with a 95% confidence level is the value of the standard normal distribution that corresponds to an area of 0.95 to the left of the z-score.

Using a standard normal distribution table or calculator, we can find that the z-score associated with a 95% confidence level is approximately 1.96.

Therefore, if we want to calculate the z-score for a 95% confidence level, we can use the formula

z = invNorm(1 - α/2)

where α is the significance level (α = 0.05 for a 95% confidence level), and inv Norm is the inverse normal cumulative distribution function. Using this formula, we can calculate the z-score as:

z = inv Norm(1 - 0.05/2)

= inv Norm(0.975) ≈ 1.96

Therefore, the z-score is 1.96

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The distance between point P(-3, 4, -3) and the line passing through Q and R is approximately 10.82 / 3.74 ≈ 2.89 units.

To find the distance between the point P(-3, 4, -3) and the line passing through the two points Q(1, 1, -5) and R(0, -2, -3), we can use the formula for the distance between a point and a line.

First, we need to determine the vector direction of the line. This can be obtained by subtracting the coordinates of the two points:

Vector QR = R - Q = (0, -2, -3) - (1, 1, -5) = (-1, -3, 2)

Next, we need to find a vector connecting a point on the line to the point P. We can choose the vector from Q to P:

Vector QP = P - Q = (-3, 4, -3) - (1, 1, -5) = (-4, 3, 2)

Now, we calculate the cross product of Vector QR and Vector QP to obtain a vector perpendicular to both:

Cross product = QR × QP = (-1, -3, 2) × (-4, 3, 2)

Performing the cross product calculation:

QR × QP = (-6, 0, 9)

The magnitude of the cross product vector gives us the distance between the point P and the line:

Distance = |QR × QP| / |QR|

Calculating the magnitudes:

|QR × QP| = √((-6)² + 0² + 9²) = √(36 + 81) = √117 ≈ 10.82

|QR| = √((-1)² + (-3)² + 2²) = √(1 + 9 + 4) = √14 ≈ 3.74

Therefore, the distance between point P(-3, 4, -3) and the line passing through Q and R is approximately 10.82 / 3.74 ≈ 2.89 units.

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student can answer the questions on the test in 16,384 different ways if they answer every question.

To determine the number of ways a student can answer the questions on a multiple-choice test containing 7 questions with four possible answers for each question, we will use the multiplication principle. The multiplication principle states that if there are a number of independent choices, then the total number of possible outcomes is the product of the number of choices.
Identify the number of questions and possible answers. In this case, there are 7 questions and 4 possible answers for each question.
Calculate the number of ways to answer each question. Since there are 4 possible answers for each question, there are 4 ways to answer each of the 7 questions.
Apply the multiplication principle. To find the total number of ways to answer all 7 questions, multiply the number of ways to answer each question:
Total number of ways = (4 ways for question 1) x (4 ways for question 2) x ... x (4 ways for question 7)
Perform the calculation. Since there are 7 questions and 4 ways to answer each question, the total number of ways is:
Total number of ways = 4^7 = 16,384

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The first approximation of 337 is 337.

The continued fraction representation of a number does not directly involve coprime integers a and b. The terms in a continued fraction are usually expressed as integers, not as a ratio of integers.

To find the first approximation of 337 using continued fractions, we can start by writing the number as a continued fraction:

337 = 337 + 0

The whole number part, 337, is the first approximation of 337. This means that the first approximation is simply the original number without any fractional part.

In this case, there is no need to find coprime integers a and b. The first approximation is an integer, and it represents the closest whole number to 337.

If you are looking for a different type of approximation or have a specific requirement for coprime integers, please provide more information so that I can assist you further.

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Answer:

I believe that corect answer is x=2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

substituting the values given

lhs = rhs

-x^3 = 2x^2

x = -2

Answer: D

Step-by-step explanation:

The probability that they are in middle school is 0.067.

We are given that;

The table of middle school, high school and total.

Now,

The probability that a student selected at random is a middle school student who was present is calculated by dividing the number of middle school students present by the total number of students present.

1,276​/8,632≈0.148

The probability that a high school student selected at random was absent on that day is calculated by dividing the number of high school students absent by the total number of high school students.

12,118​/12,68≈0.167

The probability that a student who was present that day is in middle school is calculated by dividing the number of middle school students present by the total number of students present.

1,276/19,195​≈0.067

Therefore, by probability the answer will be 0.067

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Answer:

A histogram would be the most appropriate graph to display the distribution of scores and identify clusters and gaps.

Step-by-step explanation:

Answer:

the first equation, make the y as the subject. y = 3 + 5x, then substitute y in the second equation and you will get the value of x. then, substitute the x in the first equation (y = 3 + 5x)

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Step-by-step explanation:

If a rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals, the dimensions are 90 feet and 120 feet

From the figure

4x + 3y = 720

3y = 720 - 4x

y = 240 - (4/3)x

The area = l × w

Where l is the length

w is the width

Substitute the values in the equation

A = 2x × y

= 2x (240 - (4/3)x)

Apply the distributive property

= 480x - (8/3)x^2

Differentiate the values

0 = (-16/3)x + 480

(16/3) x = 480

x = 480 / (16/3)

x = 90 feet

Then,

y = 240 - (4/3)(90)

= 120 feet

Hence, the dimensions are 90 feet and 120 feet

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

The complete question is

A rancher has 720 feet of fencing with which to enclose two adjacent rectangular corrals (see figure). what dimensions should be used so that the enclosed area will be a maximum?

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