Directions: Choose the best answer to each multiple choice question below. 1. Find the area of the following triangle. Round your answer to the nearest tenth a=2, b= 6 2. Find the area of the followin

Since your question doesn't specify what form you need your answer in, I’ll answer in slope intercept form.

Slope intercept form looks like this: y = mx + b.

m represents slope, b represents y intercept. we already have the slope, 2. To find the y intercept, we can plug in the given values for x and y and solve for x.

y = 2x + b

5 = 2(8) + b

5 = 16 + b

- 11 = b

so, the y intercept is - 11. we can plug this into your equation.

y = 2x - 11

There you go! this is your final answer.

Answer:

Answer: 12 waffles

Step-by-step explanation:

The statement that describes the relationship between the successive terms in the sequence is - The common ratio is -2.0

"It is an arrangement of numbers in a particular order followed by some rule."

For given example,

We have been given a sequence.

2.4, –4.8, 9.6, –19.2

First we take the difference between each successive terms.

-4.8 - 2.4 = -7.2

9.6 - (-4.8) = 14.4

-19.2 - 9.6 = 28.8

We can observe the the difference between successive terms is not the same.

Now, we take the ratio between each successive terms.

\(\frac{-4.8}{2.4}=-2\\\\\frac{9.6}{-4.8}=-2\\\\ \frac{-19.2}{9.6}=-2\)

We can observe that the ratio between each successive terms is equal.

This means, the given sequence has common ratio -2.

Therefore, the statement that describes the relationship between the successive terms in the sequence is - The common ratio is -2.0

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The effective annual rate implied by this offer is 2%.

The effective annual rate implied by this offer can be calculated by considering the fee charged for each $500 cash advance and the frequency of the advances over a year.

Given that the fee for each $500 cash advance is $10 and the time period for repayment is two weeks, we can calculate the number of cash advances in a year: 52 weeks divided by 2 weeks per advance equals 26 advances in a year.

Now, we can determine the total fees paid in a year by multiplying the fee per advance ($10) by the number of advances (26), which equals $260.

To find the effective annual rate, we need to compare the total fees paid to the total amount advanced. Since each cash advance is $500 and there are 26 advances, the total amount advanced in a year is $500 * 26 = $13,000.

Finally, we can calculate the effective annual rate (EAR) using the formula:

EAR = (1 + periodic interest rate)^number of periods - 1

In this case, the periodic interest rate is the total fees paid divided by the total amount advanced: $260 / $13,000 = 0.02.

Plugging this into the formula, we have:

EAR = (1 + 0.02)^1 - 1 = 0.02 or 2%.

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Answer: II and III only (2 and 3 only)

Step-by-step explanation: took test and got it right

Answer:

divied by 100 and remove the "%" sign.

Step-by-step explanation:

1.)example 10% becomes 10/100=0.10

2.) example 67.5% becomes 67.5/100=0.675

Answer:

Step-by-step explanation:

To solve this problem, you can use the distributive property to combine the terms on the left side of the equation. This property states that you can add or subtract the same value from both sides of a term that is being multiplied by a factor.

First, you can use the distributive property to simplify the left side of the equation:

84x9 - 34x9

= (84 - 34) x 9

= 50x9

Now you can simplify the right side of the equation:

50x9 = 450

So the solution to the equation is 450.

I hope this helps! Let me know if you have any questions.

Answer: 450

Step-by-step explanation:

First PEMDAS (parentheses, exponents, multiplication, division, addition, and subtraction) tells us that we have to multiply first.

So 84 multiplied by 9 is 756.

Then we get 756-34x9.

We have to multiply first again so 34x9 is 306.

Then we get 756-306 which is 450

Answer:

Positive 8

Step-by-step explanation:

Since they're both negative numbers and it went from -9 to -1, you had to have added a positive number to get a lesser negative number. To put it simply, if you were to subtract 8 from 9, you'd get 1.

You have the following expression:

If the values of x and y are:

x = 9

y = 1

when you replace these values into the polynomial expression you obtian:

Hence, the answer is 73

Answer:

= -sin(x)

Step-by-step explanation:

Possible derivation:

d/dx(cos(x))

From the limit definition of the derivative, d/dx(cos(x)) = lim_(h->0) (cos(x + h) - cos(x))/h:

= lim_(h->0) (cos(x + h) - cos(x))/h

Apply the cosine angle addition formula to cos(x + h):

= lim_(h->0) ((cos(x) cos(h) - sin(x) sin(h)) - cos(x))/h

Collect in terms of cos(x) and sin(x):

= lim_(h->0)(cos(x) (cos(h) - 1)/h - sin(x) sin(h)/h)

Multiply numerator and denominator of (cos(h) - 1)/h by the conjugate term cos(h) + 1 and expand the numerator:

= lim_(h->0)(cos(x) (cos^2(h) - 1)/((cos(h) + 1) h) - sin(x) sin(h)/h)

Apply the Pythagorean identity sin^2(h) + cos^2(h) = 1:

= lim_(h->0)(-cos(x) (sin^2(h))/((cos(h) + 1) h) - sin(x) sin(h)/h)

Factor inside the limit:

= lim_(h->0)((-(cos(x) sin(h))/(cos(h) + 1) - sin(x)) sin(h)/h)

The limit of a product is the product of the limits:

= (lim_(h->0)(-(cos(x) sin(h))/(cos(h) + 1) - sin(x))) (lim_(h->0) sin(h)/h)

By continuity, lim_(h->0)(-(cos(x) sin(h))/(cos(h) + 1) - sin(x)) = -(cos(x) sin(0))/(cos(0) + 1) - sin(x) = -sin(x):

= -sin(x) lim_(h->0) sin(h)/h

Apply the common limit lim_(h->0) sin(h)/h = 1:

Answer: = -sin(x)

Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

Answer:

Step-by-step explanation:

Answer:



Step-by-step explanation:

Given: The table of linear function.

x :  -3  , 0 , 3,  6

y :  -6 , -2 , 2,  6

Slope=change in y over change in x



Passing point: (0,-2)

Point slope form:







Slope of the linear function

Linear function is

Hence, The slope of linear function is

The slope of the given linear function which graph represents the data is 3/2.

The slope of a linear function can be calculated by finding the difference between two points on the graph and dividing it by the difference of the corresponding x-values of those points.

In this case, the two points are (2, -2) and (6, 4).

The difference between these y-values = 6,

and the difference between the x-values = 4.

Therefore, the slope of the linear function which graph represents the data = 6/4

= 3/2

This means that the linear function has a slope of 3/2 which summarizes that for every two units that x increases, y increases by three units.

If x increases from 0 to 4, y increases from -5 to 1, which is a difference of 6 units (4 x 3/2 = 6).

The linear function can be written as y = 3/2x -5.

This means that for any given x-value, the corresponding y-value can be calculated by multiplying 3/2 by the x-value and subtracting 5.

If x = 2, the y-value is -2,that is

(2* 3/2)- 5= -2

Therefore, the slope of the linear function which graph represents the data is 3/2.

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Answer:

Step-by-step explanation:

Based on the given information, we can infer the following preferences of Ances regarding her basketball team's scores:

Ances likes when her team scores 341 points.

Ances does not like when her team scores 342 points.

Ances likes when her team scores 26 points.

Ances does not like when her team scores 34 points.

Ances likes when her team scores 53 points.

Ances does not like when her team scores 42 points.

These preferences suggest that Ances has specific preferences for certain scores and dislikes other scores. It could be based on personal associations, superstitions, or simply personal preference.

It's important to note that these preferences are subjective and may not have any rational or logical basis. They are specific to Ances' personal preferences and may not reflect the overall performance or significance of the scores in a basketball game.

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Answer:

-1 1/6, -2/3, -1/6, 1/2

Step-by-step explanation:

The final answer

Answer: y = 2x + 1

Step-by-step explanation:  

Rewrite the equation in standard form:

x+2y=5

2y = -x + 5

y = -(1/2)x + (5/2)

A line perpendicular to this would have a slope that is the negative inverse of the reference line slope, -(1/2), here.  The new slope would be 2.  The y-intercept, (5/2), will change, so we'll just use b for the new y-intercept, and calculate it later:

y = 2x +b

We know that point (3,7) lies on the new line (it is a solution to the equation), so we can use this point to find the new y-intercept, b.

7 = 2*3 + b

b = 1

The perpendicular line is y = 2x + 1, and goes through point (3,7)

The turning point of the parabola is (64, -43)

Turning point is that point on a parabolic curve in which the gradient of the curve changes value.

It is also the point on the curve in which the curve starts rising or falling.

Analysis:

\(27(x-64)^{2}\) + 43

27(x-64)(x-64) + 43

27(\(x^{2}\) -64x -64x +4096) + 43

27\(x^{2}\) -3456x +110592 +43

27\(x^{2}\) -3456x +110635

at turning point dy/dx = 0

dy/dx = 54x - 3456

54x - 3456 = 0

54x = 3456

x = 3456/54 = 64

To find the value of y at x = 64

27\((64)^{2}\) -3456(64) +110635

110592 - 221184 +110635 = -43

Therefore the turning point of the parabola is (64, -43)

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For a randomly selecting one letters from each words, DISCRETE and ALGEBRA, the probability that you choose the same letter is equals to the \( \frac{1}{28}.\).

When we divide the number of events by the possible number of outcomes. It will give the Probability. The value of probability lies between 0 and 1. We have two Words one is DISCRETE and ALGEBRA. One letter is randomly selected from each words. Total numbers of letters in word DISCRETE = 8

Total numbers of letters in word ALGEBRA = 7

We have to determine the probability to choose the same letter. Now, number of same letters in both of the words = 1 ( E)

So, the number of ways to selecting the 'E' letter from DISCRETE word = 2

The number of ways to selecting the 'E' letter from ALGEBRA word = 1

Probability that letter E selected from ALGEBRA word, P( A)\( = \frac{1}{7}\).

Probability that letter E selected from DISCRETE word, P( D) = \( = \frac{2}{8} = \frac{1}{4} \). So, probability that you choose the same letter from both words = P(A) × P(B)

\( = \frac{1}{7} \times \frac{1}{4}\)

\( = \frac{1}{28}\)

Hence, required value is \( \frac{1}{28} \).

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The relationship between significant digits and calculations is; Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers

Precision refers to how closely individual measurements agree with each other. In any measurement, the number of significant figures is critical. The number of significant figures is the number of digits believed to be correct by the person doing the measuring. It includes one estimated digit.

Significant figures are an important part of scientific and mathematical calculations and measurements, because it deals with the accuracy and precision of numbers. It is important to estimate uncertainty in the final result, and this is where significant figures become very important.

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Answer:    Use Gauth Math. What is the topic about?

Step-by-step explanation:

The pdf of Y is given by:

f_Y(y) = (1 / (2σ√(2π))) * (μ-(y/2)) * exp(-((y/2)-μ)^2 / (2σ^2)).

What is Random Variable?

Random variables can be any outcomes of some random process, such as how many heads appear in a series of 20 coin tosses.

To find the probability density function (pdf) of the random variable Y = 2X, we can use the method of transformation of variables.

Let's start by finding the cumulative distribution function (CDF) of Y:

F_Y(y) = P(Y ≤ y) = P(2X ≤ y) = P(X ≤ y/2) = F_X(y/2),

where F_X(x) is the CDF of X.

Now, to find the pdf of Y, we differentiate the CDF of Y with respect to y:

f_Y(y) = d/dy [F_Y(y)]

= d/dy [F_X(y/2)]

= (1/2) * d/dy [F_X(y/2)],

where we used the chain rule.

Next, we need to express the derivative in terms of the pdf of X. Recall that the pdf of X is given by:

f_X(x) = (1 / (σ√(2π))) * exp(-(x-μ)^2 / (2σ^2)).

Substituting y/2 for x, we have:

f_X(y/2) = (1 / (σ√(2π))) * exp(-((y/2)-μ)^2 / (2σ^2)).

Taking the derivative with respect to y, we get:

d/dy [f_X(y/2)] = (1/2) * d/dy [((1 / (σ√(2π))) * exp(-((y/2)-μ)^2 / (2σ^2)))]

= (1 / (σ√(2π))) * (-1/2) * 2 * ((1/2)-μ) * exp(-((y/2)-μ)^2 / (2σ^2))

= (1 / (2σ√(2π))) * (μ-(y/2)) * exp(-((y/2)-μ)^2 / (2σ^2)).

Therefore, the pdf of the random variable Y = 2X is:

f_Y(y) = (1 / (2σ√(2π))) * (μ-(y/2)) * exp(-((y/2)-μ)^2 / (2σ^2)).

So, the pdf of Y is given by:

f_Y(y) = (1 / (2σ√(2π))) * (μ-(y/2)) * exp(-((y/2)-μ)^2 / (2σ^2)).

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Answer:

$ 2.55 or less

Step-by-step explanation:

We have if they buy 6 cans of corn and 2 boxes of pasta are priced at $ 15.75 or less, they also tell us that the price of a can of corn is $ 0.50 + half the price of a box of pasta. Let's formulate the equation, let "x" be the cost of the can of corn and "y" be the cost of the box of pasta.

6 * x + 2 * y <= 15.75

x = 0.5 + y / 2

replacing:

6 * (0.5 + y / 2) + 2 * y <= 15.75

3 + 3 * y + 2 * y <= 15.75

5 * and <= 15.75-3

y <= 12.75 / 5

y <= 2.55

replacing in x:

x = 0.5 + 2.55 / 2 = 1.775

Which means that the price of a can of corn is $ 1,775 and for the box of pasta it is $ 2.55 or less.

Answer:

The answer is 2.55

Step-by-step explanation:

hope this helps

Answer:

Shen rides 22.5 kilometers

Step-by-step explanation:

We'll use the formula d = st

In order to find the distance that Shen rides, we will multiply his speed by the time he rides

7.5 times 3 = 22.5

you use the equation 3x7.5 to find the total kilometers.

Answer:

At 3.44 seconds, the penny is at a height of 300 meters above the ground.

Step-by-step explanation:

Basically, we have to solve an equation here:

\(-4.9t^{2} + 358 = 300\)

Hence,

\(-4.9t^{2} = 300 - 358\)

\(t^{2} = \frac{-58}{-4.9}\)

\(t = 3.44\)

Hence, at 3.44 seconds, the penny is at a height of 300 meters above the ground.

Hope this helped!

1.9

hope this helps

Answer:

x < -5

Step-by-step explanation:

For the most part, you solve inequalities the same way you solve equations. So for this one, we just needed to divide both sides by 2.

The solution to the inequality is: x < -5. To solve the inequality 2x < -10, follow these steps:

1. Divide both sides of the inequality by 2 to isolate x.

2. Remember to reverse the inequality sign when dividing by a negative number.

Step 1: Divide both sides by 2:

(2x) / 2 < (-10) / 2

Step 2: Simplify:

x < -5

The solution to the inequality is:

x < -5

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Answer:

I think the answer is B. 65%

Step-by-step explanation:

i don't know though

Forward reasoning is a method of logical reasoning where you start with a set of premises or facts and use logical rules to draw conclusions or make predictions about what will happen in the future.

To show that if x is a nonzero real number , then x² + 1/x² ≥ 2 using forward reasoning, follow these steps:

Start with the inequality (x - 1/x)² ≥ 0, which holds for all nonzero real numbers x.

Expand the inequality:
(x² - 2x(1/x) + (1/x)²) ≥ 0

Simplify the middle term:
(x² - 2 + 1/x²) ≥ 0

Rearrange the inequality to match the desired expression:
x² + 1/x² ≥ 2

Using forward reasoning, we have shown that if x is a nonzero real number, then x² + 1/x² ≥ 2.

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The amount earned is $88,709.68

It is a payroll tax that is paid on wages earned by employees.

We have,

We will assume the current Social Security tax rate for employees as 6.2%.

Now,

The amount earned.

= 5,500 / 6.2%

= 5500 / 0.062

= $88,709.68

Thus,

The amount earned is $88,709.68

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The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Convert 75 degrees to radians

since

then

75 degrees to rads is given by

notice how the degree symbol(°) is cancelled then we only have the rads units

then