Find the value of f(6).
y = f(x)
10
9976 5 4 3 2
y
8
1
-10-9-8-7-6-5-4-3-2-11 2 3 4 5 6
-2
-3
-4
-5.
-6
ܕ
-7
-8
8 9 10
pls helpp!!

Option A is the correct answer because the missing step in the two column proof is;

Statement: XW/UT = XV/UV Reason: Corresponding sides of similar triangles are proportional

Similar triangles are defined as triangles that have the same shape, but then their sizes may vary. Thus, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.

Now, we see from the two column proof that ΔTVU ∼ ΔWVX. This means that corresponding sides of both triangles are proportional or have corresponding proportions.

Thus, we can say that;

XW/UT = XV/UV

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The inequality for sec (x) < cot (x) is;  π/2 < x < π

We are given that;

We want to find the intervals that the trigonometric inequality sec (x) < cot (x) always hold true.

This can also be expressed as;

1/cos (x) < 1/tan (x)

Now, this can happen only in the quadrant where tan (x) is negative and cos x is positive which is in fourth quadrant where;

π/2 < x < π

The inequality for sec (x) < cot (x) is;  π/2 < x < π

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Answer:

C on edge 22 for Pre-Calculus

Step-by-step explanation:

pi < x< 3pi/2

I retook the unit test, put C, and got a 100. I promise it's right

Answer:

Step-by-step explanation:

2/16

1/8

8/1=8

2/16=0.125 which is equal to 1/8

2/14=1/7

1/8=1/8 is 2/16 simplified so they are the same

14/2=7

Answer:

add 4.2 + 5.3 = 9.5×10*5

9.5×10⁵

Answer:

the answer would be B. {H,T}

There are approximately 11.25 cups of granulated sugar in a 5 pound bag.

To determine the number of cups of granulated sugar in a 5 pound bag, we can use the conversion factor of 2.25 cups per pound.

First, we multiply the number of pounds (5) by the conversion factor:

5 pounds * 2.25 cups/pound = 11.25 cups

Therefore, there are approximately 11.25 cups of granulated sugar in a 5 pound bag.

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In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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The largest value is 6, and the smallest value is 1. The range is 5.

a. The range is the difference between the largest and smallest values in the data set. To find the range of the given data set, we need to first order the data set from smallest to largest:

1 2 3 4 4 5 5 6

The largest value is 6, and the smallest value is 1. Therefore, the range is:

range = largest value - smallest value = 6 - 1 = 5

b. The variance is a measure of how spread out the data is from the mean. To calculate the variance of the given data set, we first need to find the mean:

mean = (5 + 1 + 2 + 6 + 4 + 4 + 3 + 5)/8 = 30/8 = 3.75

Then, we can use the formula for variance:

variance = (sum of the squared differences from the mean)/(number of data points - 1)

= [(5 - 3.75)^2 + (1 - 3.75)^2 + (2 - 3.75)^2 + (6 - 3.75)^2 + (4 - 3.75)^2 + (4 - 3.75)^2 + (3 - 3.75)^2 + (5 - 3.75)^2]/(8 - 1)

= 5.18

c. The standard deviation is the square root of the variance. Therefore, the standard deviation of the given data set is:

standard deviation = sqrt(variance) = sqrt(5.18) = 2.28

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Answer:

No Zooms

Step-by-step explanation:

Answer:

$2,152.50

Step-by-step explanation:

A = $2,152.50

I = A - P = $652.50

Equation:

A = P(1 + rt)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 8.7%/100 = 0.087 per year.

Solving our equation:

A = 1500(1 + (0.087 × 5)) = 2152.5

A = $2,152.50

The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 8.7% per year for 5 years is $2,152.50.

Answer:

£2276.35

Step-by-step explanation:

1500 X (100+8.7/100)^5

Answer:

The test  has 10 3-point questions and 14 5-point questions.

Step-by-step explanation:

x + y = 24

3x + 5y = 100

From the first equation:

3x + 3y = 72

Subtracting:

3x - 3x + 5y - 3y = 100 -72

2y = 28

so y = 14

x + 14 = 24 so x = 10.

10*3 + 5*14

= 30 + 70 = 100 points.

The classification model is used to define the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Percentage:

In math,  number or ratio that can be expressed as a fraction of 100 refers the percentage.

Given,

Here we have a dollar general sends out a $5 off coupon to its email subscribers.

And we need to find the percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon.

Then the model used to define the this type of situation is refers as the classification model, because in this model, we have classify the given group of people based on the constraint.

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Answer:

The expression (a+b+c)(d+e+f)  consists of 2 factors, and each of these factors has 3 terms.

Step-by-step explanation:

khan acadamy gave me the answer

Answer:

A translation of 3 units to the right, followed by a vertical stretch by a factor of 2, followed by a translation of 4 units up.

Step-by-step explanation:

Transformations

\(f(x-a) \implies f(x) \: \textsf{translated $a$ units right}.\)

\(\begin{aligned} y =a\:f(x) \implies & \textsf{$f(x)$ stretched/compressed vertically by a factor of $a$}.\\& \textsf{If $a > 1$ it is stretched by a factor of $a$}.\\& \textsf{If $0 < a < 1$ it is compressed by a factor of $a$}.\end{aligned}\)

\(f(x)+a \implies f(x) \: \textsf{translated $a$ units up}\)

Therefore, the series of transformations of:

\(y=x^2 \quad \textsf{to} \quad y=2(x-3)^2+4\quad \textsf{is}:\)

Translated 3 units to the right:

\(f(x-3)\implies y=(x-3)^2\)

Stretched vertically by a factor of 2:

\(2f(x-3)\implies y=2(x-3)^2\)

Translated 4 units up:

\(2f(x-3)+4\implies y=2(x-3)^2+4\)

Therefore, the series of transformations is:

A translation of 3 units to the right, followed by a vertical stretch by a factor of 2, followed by a translation of 4 units up.

The wage of 2001 in terms of wage in 2012 is option A $14.97

Given,

Mack's wages in 2001 = $7 per hour

Mack's wages in 2012 = $12 per hour

The CPI in 2001 = 94

The CPI in 2012 = 201

We have to fins the wage of 2001 in terms of wage in 2012;

CPI;- Consumer Price Index

The CPI is calculated by the Bureau of Labor Statistics each month using a sample of 94,000 prices. To determine the overall change in prices, the index for each good or service is weighted according to its share of recent consumer spending.

Here,

The wage of 2001 in terms of wage in 2012 = (CPI in present year / CPI in past year) x Wage of earlier year

= (201 / 94) x 7

= 14.97

That is,

The wage of 2001 in terms of wage in 2012 is option A $14.97

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Answer:

30=3x

so divide 30 by 3 and you'll get x

Answer:

10

Step-by-step explanation:

You equate. The two angles are equal. The figure is called vertically opposite.

Vertically opposite angles are equal.

3x = 30                          Now you divide by 3

3x/3 = 30/3

x = 10

And 10 is your answer.

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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When U = 10, the value of n is 112.604.

We are given that the number n is the algebraic sum of two terms:

Term 1 varies directly as u.

Term 2 varies inversely as U².

Let's denote the first term as k1 u, where k1 is the constant of proportionality.

And let's denote the second term as k2/U², where k2 is another constant of proportionality.

We have,

When U = 2, n = 22.

When U = 8, n = 56.5.

So, Equation 1: n = k1u + k2/U²

Equation 2: 22 = k1(2) + k2/(2)²

Equation 3: 56.5 = k1(8) + k2/(8)²

Let's solve these equations to find the values of k1 and k2.

Equation 2 becomes: 22 = 2k1 + k2/4

Equation 3 becomes: 56.5 = 8k1 + k2/64

To eliminate k2, let's multiply Equation 2 by 64:

1408 = 128k1 + k2

Now we have two equations with two variables:

128k1 + k2 = 1408

8k1 + k2/64 = 56.5

Let's subtract Equation

120k1 = 1351.5

k1 = 1351.5 / 120

k1 = 11.2625

Substituting the value of k1 back into Equation 2:

22 = 2(11.2625) + k2/4

22 = 22.525 + k2/4

k2/4 = 22 - 22.525

k2/4 = -0.525

k2 = -2.1

Now we have the values of k1 and k2:

k1 = 11.2625

k2 = -2.1

Finally, we can find the value of n when U = 10 by substituting these values into Equation 1:

n = k1u + k2/U²

n = 11.2625(10) - 2.1/(10)²

n = 112.625 - 2.1/100

n = 112.625 - 0.021

n ≈ 112.604

Therefore, when U = 10, the value of n is 112.604.

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The given problem involves the Wronskian, which is a determinant used in the study of differential equations. In this case, we are given the Wronskian of two functions, f and g, as 7. The problem asks us to determine the Wronskian of two new functions, 4f+g and f+2g, and we are given that this value is equal to 49.

To understand the solution, let's start with the definition of the Wronskian. The Wronskian of two functions, say f and g, denoted as W(f,g), is given by the determinant of the matrix formed by the derivatives of these functions. In this case, we are not given the explicit forms of f and g, but we know that W(f,g) is equal to 7.

Now, to find the Wronskian of 4f+g and f+2g, denoted as W(4f+g,f+2g), we can use some properties of determinants. One property states that if we multiply a row (or column) of a matrix by a constant, the determinant of the resulting matrix is equal to the constant multiplied by the determinant of the original matrix. Applying this property, we can rewrite the Wronskian as W(4f+g,f+2g) = (4*1+1*2)W(f,g) = 9W(f,g).

Since we know that W(f,g) = 7, we can substitute this value into the expression to find W(4f+g,f+2g) = 9W(f,g) = 9*7 = 63. Therefore, the Wronskian of 4f+g and f+2g is 63, not 49 as initially stated in the problem.

In summary, the given problem involved finding the Wronskian of two functions based on a given Wronskian value. However, the solution revealed that there was an error in the problem statement, as the correct Wronskian of 4f+g and f+2g is 63, not 49. The explanation involved using the properties of determinants to manipulate the expression and arrive at the final result.

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Answer:

if you multiply the denominator by the AB^3 by 7 you wll get your common factor

Step-by-step explanation:

Step-by-step explanation:

Question 15:

5(x - 9) - 2(x + 3)

= (5)(x) + (5)(-9) - (2)(x) - (2)(3)

= 5x - 45 - 2x - 6

= 3x - 51

= 3(x - 17).

Question 16:

The terms 36x, 18y and 9 have GCF of 9.

Hence 36x - 18y + 9 = 9(4x - 2y + 1).

Answer:  210

Explanation:

Each box has 12 packets of fruit snacks and 18 packets of cashews. That gives 12+18 = 30 packets overall per box. Since we have 7 boxes, that tells us the total count is 7*30 = 210

Answer:

please the answer is C which is; x is about 4•0 and y is about 14•6

Answer: Though we need to see the given number to answer, I believe it would be A, 256.84

Step-by-step explanation:

Answer:

-4500

Step-by-step explanation:

-5300 - (-800)

Step-by-step explanation:

{36+7[10÷)+9(2)]}÷4. ....

To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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The  product of prime polynomials which is equivalent to 30x3 – 5x2 – 60x is option C) 5x(2x – 3)(3x + 4).

We have 30x³ - 5x² - 60x

We take common value out so

5x(6x² - x - 12)

By following the factorization method we get,

6x² - x - 12

b²-4ac = -1² - 4x6x(-12)

= 289

x = -b ± √289/2a

= 1 ± 17/-2

x = 3/2 or x = -4/3

So,

6x² - x - 12

6(x-3/2)(x-(-4/3))

(2x-3) (3x+4)

Therefore,

30x³ - 5x² - 60x = 5x(6x² - x - 12)

= 5x (2x-3) (3x+4)

The  product of prime polynomials is equivalent to 30x3 – 5x2 – 60x is 5x(2x – 3)(3x + 4).

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Answer:

  (-2, -2.5)

Step-by-step explanation:

There are an infinite number of such points. One of the easiest to write coordinates for is the one that is on the same horizontal line. Its x-value will be 4 less that that of Q.

  (-2, -2.5) is one such point

_____

Additional comment

All of the points that could be solutions are on that portion of a circle with radius 4 and center Q that lies in quadrant III. They make up the red arc in the attachment.

Answer: The answer is D

Step-by-step explanation:

Couldn't see the full graph but one of the points I got was (2,4) and I saw that in the picture. But the correct answer is D.

Hope this helps! Good luck!