Evaluate the function f(x)=x-6 at the given value of the variable.

b. f(5)= (Simplify your answer.)

Answer: D

Step-by-step explanation:

To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.

Let's start with ordered pair A (80, 6):

1/4x ≤ 7/3y + 2

1/4(80) ≤ 7/3(6) + 2

20 ≤ 14 + 2

20 ≤ 16

This is not true, so ordered pair A is not a solution to the inequality.

Now let's try ordered pair B (48, 9):

1/4x ≤ 7/3y + 2

1/4(48) ≤ 7/3(9) + 2

12 ≤ 21 + 2

12 ≤ 23

This is also not true, so ordered pair B is not a solution to the inequality.

Next, let's try ordered pair C (40, 3):

1/4x ≤ 7/3y + 2

1/4(40) ≤ 7/3(3) + 2

10 ≤ 7 + 2

10 ≤ 9

This is false, so option C is not a solution to the inequality.

Finally, we have option D: (2, -6)

1/4(2) ≤ 7/3(-6) + 2

1/2 ≤ -14 + 2

1/2 ≤ -12

This is true, so option D is a solution to the inequality.

Therefore, the answer is D: (2, -6).

Answer: b

Step-by-step explanation: the answer is got was 1.166666

Answer:

2x(7×3)+(7×6)+(3×6)= 162ft

Answer:

y = (0, -21)

Step-by-step explanation:

Could i get brainliest?

Option d is correct

y=β0+β1x1+β2x2+β3x3+........+βkxk+ε

Where y is the "independent" variable and 0 to k are the "regression" coefficients. In a "multiple linear regression" model, the "independent" variables are x1, x2, x3,..., xk, and the "residual" or "error" term is.

The "residual" for the regression model is calculated using the following formula.

Residual=y-ŷ

Where y is the "independent variable's" "actual" value and is the "independent variable's" "predicted" value.

The "difference" between the "actual" value of the "dependent" variables and the corresponding "predicted" value when employing the "multiple regression" model is referred to as the "residual" in the "residual" formula.

A statistical technique for evaluating the relevance of a "multiple regression" model is the "F test." Linear models are A linear model is a statistic that explains the “relationship” between “response” and “predictor” variables. Using the “multiple regression” model, the “predicted” value of the “response” variable is denoted by ŷ.

hence option 4 is correct

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I understand you mean:

What is a residual for a multiple regression model and the data that is used to create it? Select one:

1.A statistic that is used to evaluate the significance of the multiple regression model

2.A statistic that explains the relationship between response and predictor variables

3.The predicted value of the response variable using the multiple regression model

4.The difference between the actual value of the response variable and the corresponding predicted value (regression error) using the multiple regression model

Answer:  D

Step-by-step explanation: -135

Answer:

x< -12

Step-by-step explanation:

-1/2x>6
x-2.   x-2

x>-12

Since we multiply by we negative we flip the sign

x< -12

Hopes this helps

Answer:

\(7\)

Step-by-step explanation:

We see that the circle is centered at \((1, 0)\). We know that because it's centered on the x-axis, one of the diameters will lie on the x-axis.

We know that the circle intersects the x-axis at \((8, 0)\). Therefore the radius of the circle is the distance between these points, in this case \(8-1=7\).

So, the answer is \(\boxed{7}\) and we're done!

a) the expected number of smokers is 21.6, and

b) the standard deviation of the number of smokers is approximately 4.21.

a) To find the expected number of smokers, you need to multiply the probability of a student being a smoker (18% or

0.18) by the number of students surveyed (120). So, the expected number of smokers is:

Expected number of smokers = 0.18 × 120 = 21.6

b) To find the standard deviation of the number of smokers, you can use the formula for the standard deviation of a

binomial distribution, which is:

Standard deviation = √(n × p × (1 - p))

where n is the number of students surveyed, p is the probability of a student being a smoker, and (1 - p) is the

probability of a student not being a smoker. Plug in the values:

Standard deviation = √(120 × 0.18 × (1 - 0.18)) = √(120 × 0.18 × 0.82) ≈ 4.21

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Answer:

  B.  -19 -28i

Step-by-step explanation:

Combine like terms in the usual way.

  24 -10i -(43 +18i)

  = 24 -10i -43 -18i . . . . . distribute the minus sign

  = (24 -43) +(-10 -18)i

  = -19 -28i

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

The minimum number of trips needed to haul 20,000 cubic feet of dirt is B) 17.

What is capacity?

The ability to hold or contain something. The maximum amount or number that can be contained in a room's seating capacity.

The capacity of the dump bin is:

21 feet (length) x 8 feet (width) x 6 feet (height) = 1,008 cubic feet

The dump bin can hold dirt equivalent to 1.2 times its capacity, which is:

1.2 x 1,008 cubic feet = 1,209.6 cubic feet

To haul 20,000 cubic feet of dirt, you need:

20,000 cubic feet / 1,209.6 cubic feet per load = 16.52 loads

Since you can't have a fraction of a load, you need to round up to the nearest whole number, which is 17 loads.

Therefore, the minimum number of trips needed to haul 20,000 cubic feet of dirt is B) 17.

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The option that best describes the slope of the graph of the equation in the xy-plane is: D) For every increase of 1 in the average customer rating, the estimated increase in income is $44.

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The median of the given data set is 26.

In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.

Given the data set, we need to find the median.

So, let's arrange the numbers from smallest to largest in order to find the median.

\(\sf 15,20,22,26,28,35,36.\)

\(\text{Median}=\sf 26\)

Therefore, the median of the data set is 26.

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Answer:

Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)

Step-by-step explanation:

As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.

11^2 + 5^2 = AC^2

121 + 25 = AC^2

146 = AC^2

sqrt(146) = AC^2

Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)

Interest is a fee charged by a lender to a borrower for the use of money or credit, usually expressed as a percentage of the amount borrowed or invested over a period of time. Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.  The total interest earned after one year is $229

How much was in each account?

Let x be the amount invested in the first account that pays 3% interest, and let y be the amount invested in the second account that pays 8% interest. Since the total amount invested is $5800, we have:

\(x + y = 5800\)

The amount of interest earned on the first account is 0.03x, and the amount of interest earned on the second account is 0.08y. Since the total interest earned after one year is $229, we have:

\(0.03x + 0.08y = 229\)

We now have two equations with two unknowns:

\(x + y = 5800\)

\(0.03x + 0.08y = 229\)

We can solve for x and y by using elimination or substitution method. Here, we will use the substitution method.

Solve the first equation for x:

\(x = 5800 - y\)

Substitute this expression for x into the second equation and solve for y:

\(0.03(5800 - y) + 0.08y = 229\)

\(174 - 0.03y + 0.08y = 229\)

\(0.05y = 55\)

\(y = 1100\)

Now substitute this value of y into either equation to solve for x:

\(x + 1100 = 5800\)

\(x = 4700\)

Therefore, Brandon invested $\(4700\) at 3% interest and $\(1100\) at \(8\)% interest.

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Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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Given:

Open the bracket by multiplying:

Hence, the resulting polynomial is:

Answer:

is it a decimal

Step-by-step explanation:

Answer: It’s .7293 or 7293

The median total of amount Franky earned is A = $81.67 per day.

Given data ,

For the first five days: $(100 + x) per day

For the next two days: $(175 + 2x) per day

For the final three days: $(75 + 2x) per day

Now , the average amount she earns is $80 per day

So , Average earnings = Total earnings / Total number of days

Average earnings = [(100 + x) * 5 + (175 + 2x) * 2 + (75 + 2x) * 3] / 10

Simplifying the equation:

80 = [500 + 5x + 350 + 4x + 225 + 6x] / 10

Multiplying both sides by 10:

800 = 1075 + 15x

Subtracting 1075 from both sides:

15x = -275

Dividing both sides by 15:

x = -18.33

For the first five days: $(100 - 18.33) = $81.67 per day

For the next two days: $(175 + 2*(-18.33)) = $138.34 per day

For the final three days: $(75 + 2*(-18.33)) = $38.34 per day

Arranging the earnings in ascending order: $38.34, $38.34, $38.34, $81.67, $81.67, $81.67, $81.67, $138.34, $138.34

The median is the middle value when the earnings are arranged in ascending order. In this case, the middle value is $81.67

Hence , the median is $81.67

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The least amount the student must pay is $96

From the question, we are to determine the least amount that the student must pay

From the given information,

A pack of 4 pens cost $20

and

A pack of 6 files cost $18

Since the student wants to buy an equal number of pens and files

Then,

The least number of each item the student must buy is the LCM of 4 and 6

LCM of 4 and 6 = 12

Thus,

The least number pens the student must buy is 12

and

The least number files the student must buy is 12

∴ The student would have to buy 3 packs of 4 pens and 2 packs of 6 files

3 packs of 4 pens = 3 × $20 = $60

and

2 packs of 6 files = 2 × $18 = $36

The least amount the student must pay = $60 + $36

The least amount the student must pay = $96

Hence, the least amount the student must pay is $96

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An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.

By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;

f(x) = |x|

y = A|x + B| + C

g(x) = -1/4|x + 1| - 2

In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.

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Answer:

A=-2 and B=7

Equation is -2x+7y=3

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

f(g(x)) = 3(x-2) + 10

f(g(0)) = 3x - 6 + 10

f(g(0)) = 3(0) - 6 + 10

f(g(0)) = 0 - 6 + 10

f(g(0)) = 4

Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.

Exponential Function can be used for increase rate and also for decay rate.  The difference between the two are the plus and minus signs. To put it in another perspective, If Y = P(M)³

If M is less than one, that means it is decaying or decreasing. And if M is greater than one, that means it is increasing.

Given that Some banks charge a fee on savings accounts that are left inactive for an extended period of time. And the equation

y = 5000(0.98)^x  represents the value, y, of one account that was left inactive for a period of x years.

According to the equation, to know if the balance in this account is increasing or decreasing, we will analyze the value 0.98.

Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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