Given the function:
What is the inverse function of g(x)?
g(x) = -
O g-4(X) = - 2x - 3
Og +(x) = -3(x-3)
O g 7(x)=-3x-2
O g-(x) = -2(x – 3)

Answer:

x = 2

Step-by-step explanation:

\(12x -(4x+7) +2x =13 \\ \\ 12x - 4x - 7 + 2x = 13 \\ \\ 8x + 2x = 13 + 7 \\ \\ 10x = 20 \\ \\ x = \frac{20}{10} \\ \\ x = 2\)

Answer:

ok so it will be 16-bit

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

can you help me with my question

Answer:

The answer is B

Step-by-step explanation: Hope I helped

Answer:

slope = - \(\frac{1}{4}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, - 1) ← 2 points on the line

m = \(\frac{-1-0}{0-(-4)}\) = \(\frac{-1}{0+4}\) = \(\frac{-1}{4}\) = - \(\frac{1}{4}\)

That both a and b are equally likely, is also not true since the Probability of option b is higher than that of option a.

Option b is more likely to be true. This is because the given information states that the showerhead heights were designed to be 72 inches, which is well above the mean height of 69.5 inches. Therefore, it is reasonable to assume that the majority of the players' heights are below 72 inches. Since the heights of the athletes are normally distributed, the probability of selecting a player at random with a height above 72 inches is relatively low. On the other hand, option a suggests that the mean height of a sample of 20 players is more than 72 inches, which is less likely than option b. Option c, which suggests that both a and b are equally likely, is also not true since the probability of option b is higher than that of option a.

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Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.

To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:

J(9, 7) K(2, 1)

L(0, -8)   M(7, -2)

To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.

Slope of JK:

Slope (m) = (change in y) / (change in x)

m(JK) = (7 - 1) / (9 - 2) = 6/7

Length of JK:

Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]

d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85

Slope of KL:

m(KL) = (-8 - 1) / (0 - 2) = -9/2

Length of KL:

d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85

Slope of LM:

m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)

Length of LM:

d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85

Slope of MJ:

m(MJ) = (7 - (-2)) / (9 - 7) = 9

Length of MJ:

d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40

Based on the calculations, we can describe quadrilateral JKLM as follows:

The slope of JK and LM is 6/7.

The slope of KL is -9/2.

The slope of MJ is 9.

The length of each side (JK, KL, LM, MJ) is √85.

The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.

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Answer:

x = 8

Step-by-step explanation:

Apply the exterior angle theorem.

Thus:

45 + 6x + 7 = 13x - 4

Add like terms

52 + 6x = 13x - 4

52 + 6x - 13x = 13x - 4 - 13x

52 - 7x = -4

52 - 7x - 52 = -4 - 52

-7x = -56

-7x/-7 = -56/-7

x = 8

For part a, you can use a chi-squared test to determine whether the variance in the sample exceeds the maximum acceptable variance in the population.

The null hypothesis for this test is that the variance in the sample is equal to or less than the maximum acceptable variance, and the alternative hypothesis is that the variance in the sample is greater than the maximum acceptable variance.

To perform the test, you need to first calculate the chi-squared statistic, which is given by:

X² = (n-1) * s² / σ²

where n is the sample size (in this case, 15), s is the sample standard deviation (in this case, 0.014 inches), and σ is the maximum acceptable variance (in this case, 0.0001 inches).

Plugging in the values, you get:

X² = (15-1) * .014² / .0001² = 27.44

Next, you need to determine the degrees of freedom for the test. In this case, the degrees of freedom is equal to the sample size minus 1, so the degrees of freedom is 14.

With the chi-squared statistic and the degrees of freedom, you can look up the p-value in a chi-squared table or use a chi-squared calculator to determine the p-value. The p-value is the probability of observing a chi-squared statistic as large or larger than the one you calculated, assuming the null hypothesis is true.

If the p-value is less than the significance level (in this case, .10), then you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance. In this case, the p-value is between 0.01 and 0.025, so you can reject the null hypothesis and conclude that the variance in the sample exceeds the maximum acceptable variance.

For part b, you can use a t-test to construct a 90% confidence interval estimate of the variance in the population. The confidence interval is an interval estimate of the true variance in the population, and the 90% confidence level means that there is a 90% probability that the true variance in the population falls within the confidence interval.

To construct the confidence interval, you first need to calculate the standard error of the variance, which is given by:

SE = s / √(n-1)

where s is the sample standard deviation and n is the sample size. Plugging in the values, you get:

SE = 0.014 / √(15-1) = 0.0041

Next, you need to determine the t-value for the confidence interval. The t-value is based on the degrees of freedom and the confidence level. With 14 degrees of freedom and a 90% confidence level, the t-value is 1.76.

With the standard error and the t-value, you can construct the confidence interval as follows:

Lower bound = s² - t * SE = .014² - 1.76 * 0.0041 = 0.00012 inches

Upper bound = s² + t * SE = .014² + 1.76 * 0.0041 = 0.00042 inches

Therefore, the 90% confidence interval estimate of the variance of the ball bearings in the population is .00012 to .00042 inches.

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Answer:

pretty sure it's B, its just really hard to see

Step-by-step explanation:

Answer:

whats the total wight of each person

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Evaluate (2 - 3)4(4) - 9 ÷ 3.

-7

-2

1

2

Answer:

1

Step-by-step explanation:

Answer:

Here is it

Step-by-step explanation:

sp(selling price)

D%( discount percent )

Mp(marked price)

Answer:

40 choices of combinations can be made.

Step-by-step explanation:

Given that Brian wants to buy a shirt, and he can choose an XL, L, M, S, or XS long-sleeve or short-sleeve in white, black, pink, or blue, to determine how many choices of combinations does he have, the following calculation must be performed:

XL + L + M + S + XS = 5

LS + SS = 2

W + B + P + B = 4

5 x 2 x 4 = X

10 x 4 = X

40 = X

Thus, 40 choices of combinations can be made.

Answer:

Step-by-step explanation:

Because of the givens (a right angle a common Hypotenuse and a leg in each triangle) ΔSUT and ΔSUV are congruent.         HL

That means that < SUT = < SUV  so what you get out of that is

w + 10 = 3w                                    Subtract w from both sides.

w - w + 10 = 3w - w

10 = 2w                                          Divide both sides by 2

10/2 = 2w/2

w = 5

I don't know what A with a check mark below it is.

Answer:

7606.62

Step-by-step explanation:

Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.

\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)

Now just equate this to a time 0 payment at the same rate

\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)

As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.

The inputs 4 and 8 have more than one out, the relation is not a function.

A relation is said to be a function if one input is mapped to one output.

that is, each x-value can only have one y-value.

From the table;

Input, output

4 ----- 1

8 ----- 3

4 ------5

8 ----- 4

4  is an input, it has an output of 1.

4 appeared again as input but this time has an output of 5.

This means one input has more than one output.

Also, 8 is an input, it has an output of 3.

8 appeared again as input but this time has an output of 4.

Which also means one input has more than one output.

Therefore, the relation is not a function.

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To find arcsin, we need to use the identity:

sin(arcsin(x)) = x

Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:

sin(arcsin) = -sqrt(1 - (cos)^2)

where (cos)^2 = 8/17

Substituting, we get:

sin(arcsin) = -sqrt(1 - (8/17))

Simplifying, we get:

sin(arcsin) = -sqrt(17/17 - 8/17)

Simplifying further, we get:

sin(arcsin) = -sqrt(9/17)

Therefore, arcsin = -sqrt(9/17)

To find arctan, we need to use the identity:

tan(arctan(x)) = x

Substituting, we get:

tan(arctan) = -8/17

Therefore, arctan = -8/17

So, arcsin is -sqrt(9/17) and arctan is -8/17.

Answer:

A. 93.3

Step-by-step explanation:

I calculated it logically

The integral\int(1/x^4 + 9x^2) dx converges by comparison to a convergent integral, and its value is 1/3

To determine whether the integral converges or diverges, we can use the limit comparison test with the integral:

Since for all x > 0, we have:

Thus, by the limit comparison test:

converges if and only if converges.

We can evaluate  using the power rule of integration:

where C is the constant of integration. Evaluating this integral from 1 to infinity, we get:

∫(1/x^4) dx from 1 to infinity = lim as b → infinity

=>

=> 0 - (-1/3)

=> 1/3

Since the integral  dx converges by comparison to a convergent integral, and its value is 1/3.

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Note: The full question is

Determine whether the integral converges or diverges; if it converges, evaluate. (If the quantity diverges, enter DIVERGES. Do not use the [infinity] symbol in your answer.) [infinity] dx x4 + 9x2 1

Answer:

0

The slope is: m=4. The y -intercept is: b=0 or (0,0)

Step-by-step explanation:

plz giv it to me i need it

Answer:

this is the other guy stars im on a dif account can i get it now on ther other 1

Step-by-step explanation:

Answer:

Hello! answer: x = 40

Step-by-step explanation:

These are vertical angles meaning they will have the same measure.

40 × 3 = 120 120 - 16 = 104 therefore x = 40 hope that helps!

Answer:

22.684.

Step-by-step explanation:

The solution in interval notation is; (-∞,  49/2).

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

To solve the equation 5/16x - 7/4 < 3/4x + 21/2, we can simplify both sides:

5/16x - 7/4 < 3/4x + 21/2

Combining like terms:

5/16x  -3/4x  < 21/2 + 7/4

8/16x < 49/4

1/2x < 49/4

Simplifying the fraction;

x < 49/2

Therefore, the solution in interval notation is (-∞,  49/2).

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Answer:  d) 67

Step-by-step explanation:

\(determinant\ \left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&j\end{array}\right] = a\cdot det\left[\begin{array}{cc}e&f\\h&j\end{array}\right] -\ b\cdot det\left[\begin{array}{cc}d&f\\g&j\end{array}\right] +\ c\cdot det\left[\begin{array}{cc}d&e\\g&h\end{array}\right]\)

\(determinant\ \left[\begin{array}{ccc}2&3&4\\-3&2&1\\5&-1&6\end{array}\right] \\\\\\= 2\cdot det\left[\begin{array}{cc}2&1\\-1&6\end{array}\right] -\ 3\cdot det\left[\begin{array}{cc}-3&1\\5&6\end{array}\right] +\ 4\cdot det\left[\begin{array}{cc}-3&2\\5&-1\end{array}\right]\\\\\\=2[2(6)-1(-1)]-3[-3(6)-1(5)]+4[3(-1)-2(5)]\\\\\\=2(13)-3(-23)+4(-7)\\\\\\=26+69-28\\\\\\=\large\boxed{67}\)

4 -2   5

5 -1    8

this is what it showed in brackets as the correct answer.

The matrix that represents the system of equations 4x-2y=5 and 5x- y=8  is \(\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right]\)

The system of equations is given as:

4x-2y=5

5x- y=8

Remove the variables

x     y  

4    -2    5

5    -1    8

Represent as a matrix

\(\left[\begin{array}{cc}4&-2\\5&1\end{array}\right] \left[\begin{array}{c}5&8\end{array}\right]\)

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