Let g(x) = 2x and h(x) = x^2+4. Find the value. (h times g) (0)a) 2b) 8c) 10d) 16

Complete question:

When the pallet was placed on the scale, the reading came back as 325 total pounds. Note that this was including the pallet itself, which weighed 35 pounds.

How many cartons of each product were on the pallet? Create two equations to represent the situation and then solve the system. Show all work. Express your final answer using a complete sentence and appropriate units

Answer:

we have 25 and 55 cartons of each product

Step-by-step explanation:

we have number of carton = 10 x 8 = 80

each level has 10, and leves are 8 high

two types of product packages,

we call them w and x

w + x = 80 ------ equation 1

w has 3 pounds weight

x has 5 pounds weight

3*w +5*x

3w + 5x

total weight = 325

we subtract weight of pallet 35

= 325 - 35 = 290

3w + 5x = 290-------- equation 2

we have two equations

w + x = 80------(1)

3w + 5x = 290-------(2)

from equation 1,

w = 80 - x

put this value above in equation 2

3(80-x) + 5x = 290

240-3x+5x = 290

240+2x = 290

2x = 290-240

2x = 50

divide through by 2

x = 25

put value of x in equation 1

w + 25 = 80

w = 80-25

w = 55

so we have 55 cartons of w and 25 cartons of product x

Answer:

12days

Step-by-step explanation:

A mason gets 76 dollars per day. To get 912 dollars, divide 912 by 76. 12days.

Answer:

12 days

Step-by-step explanation:

912/76 = 12

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

(A) The equation for computing Gustin's profit per seminar; given the values of the relevant parameters is:

π = 0.01AC - 3500

Where π = profit per seminar

A = attendance per seminar

C = commission earning per new account opened

(B) A continuous random variable

(C) No

(D) An audience of 71 persons

STEP BY STEP EXPLANATION:

(A) Profit is equal to total revenue minus total cost.

TR = PAC

Where P = probability that an attendee will open a new account

A = number of attendees per seminar

C = commission Gustin gets from each new account opened.

TC = $3,500

Where cost of organizing 1 seminar is constant at $3,500

So the function for profit per seminar is given thus:

π = TR - TC = 0.01AC - 3500

(B) There are 2 types of random variable; discrete random variable and continuous random variable

We say the number of new accounts opened (NNAO) is a continuous random variable because it is not specific. It is a function of both P and A. It depends on both P and A.

From the profit function or equation we have, we can see that you can't derive the exact NNAO per attendee. It is based on probability so if you were to measure it distinctly, you would have a very minimal value.

Discrete random variables occur in specific intervals e.g. 4, 5, 6,... while continuous random variables occur over an interval; e.g. 4.01, 4.02, 4.03,...

(C) Constructing a spreadsheet simulation model to analyze the profitability of Gustin's seminars, I would not recommend that Gustin continue running the seminars!

(D) The question points to A; which is the total attendance per seminar.

So if we calculate profit with the values given in the full question, we see that profit is negative, hence Gustin is running at a loss with 25 people attending one seminar.

π = (0.01 × 25 × 5000) - 3500

π = -$2,250

So, to make a profit greater than zero, we first check how many attendees it takes for TR to equal TC or for Profit to equal 0.

We set pie π to zero.

0 = (0.01 × 5000 × A) - 3500

0 = 50A - 3500

50A = 3500

A = 70 attendees

So Gustin needs an audience of more than 70 persons before a seminars expected profit will be greater than zero.

The inverse probability of drawing either an 8 or a 9 from a deck of cards is 0.852.

What is probability?

The likelihood of an occurrence can be determined using probability. It can only be applied to determine how likely an event is to occur. a scale with 0 being impossible and 1 being a specific occurrence.

We know that there are 52 cards in a deck consisting of 4 cards of each number.

So,

⇒ Probability of drawing 8 = \(\frac{4}{52}\)

⇒ Probability of drawing 8 = \(\frac{1}{13}\)

Similarly,

⇒ Probability of drawing 9 = \(\frac{4}{52}\)

⇒ Probability of drawing 9 = \(\frac{1}{13}\)

Now,

Let event A be drawing a 8 and event B drawing a 9.

So,

⇒ P (A ∪ B) = \(\frac{1}{13}\) + \(\frac{1}{13}\)  - (\(\frac{1}{13}\) * \(\frac{1}{13}\) )

⇒ P (A ∪ B) = \(\frac{2}{13}\) - \(\frac{1}{169}\)

⇒ P (A ∪ B) = \(\frac{25}{169}\)

⇒ P (A ∪ B) = 0.148

Inverse probability = 1 - 0.148

Inverse probability = 0.852

Hence, the inverse probability of drawing either an 8 or a 9 from a deck of cards is 0.852.

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The sine function of the given features is F(x) = 4sin(x-3)

From the question, we have the following parameters that can be used in our computation:

F(x) = +-Atimessin(b(x+C)) + D

This means that

F(x) = Asin(b(x+C)) + D

Where

A = amplitude

been shifted to the right 3 units and has and amplitude of 4 means

A = 4 and C = -3

So, we have

F(x) = 4sin(x-3)

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Table 1: slope = 2/3, Equation of line:  y = 2/3 x - 1;  y-intercept = -1.

Table 2: slope = -3/2, Equation of line:  y = -3/2 x + 7;  y-intercept = 7.

When a graph enters the y-axis, that location is known as the y-intercept. That's the value of y at x=0, to put it another way.

Compute a linear function in slope-intercept form (y = mx + b) once the slope has been determined. Replace the correct values for x, y, and m in the equation using that set of coordinates (x, y), and the slope, m. After that, find the y-intercept by solving the equation for b.

Slope m = (y2 - y1)/(x2 - x1)

Equation of line:  

y - y1 = m(x - x1)

Table 1:

Consider two points: (3,1) and (6,3)

m = (3 - 1)/(6 - 3)

m = 2/3

Equation of line:  

y - 1 = 2/3(x - 3)

y = 2/3 x - 1

So,  y-intercept = -1.

Table 2:

Consider two points: (2,4) and (4,1)

m = (1 - 4)/(4 - 2)

m = -3/2

Equation of line:  

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

y = -3/2 x + 7

So, y-intercept = 7.

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Answer:

-1 1/6, 4/6, 1/6, 1/2

Step-by-step explanation:

The first thing we have to do is find the G.C.D so that all the denominators are equal:

-4/6, -1 1/6, -1/6 you can't really change the 1/2 but since it is the only positive number you know it goes last.

when it comes to ordering negatives from least to greatest less is more. By this, I mean that the greater the number is the less it is worth. I hope that made sense anyway the greatest negative number is -1 1/6 so that goes first in the order next -4/6 since it is less than -1/6 which ofc goes next. Lastly, 1/2 which as we mentioned before is positive so ofc it goes last.

Hence the order is, -1 1/6, 4/6, 1/6, 1/2

Answer:

hello your question has some missing information attached below is the missing information

answer : mean ratio of estimate = 117.62

              standard error ( SE ) = 3.9765

Step-by-step explanation:

Given data : n = 20,  μx = 10.3  , N = 1132

∑ age ( yi) = ( 125 + 119 + --------- + 99 ) =  2148

∑ ( Y - rX)^2 = 6116.728

mean of age ( y ) = ∑ y / 20 =  2148 / 20 = 107.4

mean of diameter ( x ) = ∑x /20 = 188.1 / 20 = 9.405

∴ ratio estimate  = y /x = 107.4 / 9.41 = 11.4195

i) The mean of ratio estimate

= 11.4195 * μx  = 11.4195 * 10.3 = 117.6204

ii) determine the standard error ( SE )

calculate ; \(s^{2} _{r}\) = 1 / ( n-1 ) *  ∑ (Y - rX)^2  = 1/19 ( 6116.728 ) = 321.933

Var (  μr ) = [ ( N - n ) / N*n ]*\(s^{2} _{r}\)  =  [ ( 1132 - 20 ) / (1132*20) ] * 321.933

               = 15.81226

therefore the SE = √15.81226 ≈ 3.9765

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Choice B.   [-5, -4]

Choice D.  [1, 2]

===================================================

Explanation:

We're looking for portions when the graph goes downhill when we move from left to right.

The first portion is from x = -5 to x = -4. So we write [-5, -4] which represents \(-5 \le x \le -4\)

The second portion is [1, 2] which goes downhill since the interval starts at x = 1 and stops at x = 2.

The portions are highlighted in the diagram below.

As you can see, we only care about the x values for any given interval. The y values don't matter as long as they decrease along the interval.

Answer:

Step-by-step explanation:

A=3

B=4

C=6

D=5

E=1

F=7

G=2

Answer:

A

Step-by-step explanation:

Therefore, if 24 teaspoons of vegetable oil were used, we would need 16 teaspoons of vinegar to make the recipe correctly.

According to a salad recipe, each serving requires 6 teaspoons of vegetable oil and 9 teaspoons of vinegar. If 24 teaspoons of vegetable oil were used, we can determine the amount of vinegar needed for the recipe to be correct as follows:

First, we must determine the ratio of vinegar to oil in the recipe. To do this, we divide the amount of vinegar needed per serving (9 teaspoons) by the amount of oil needed per serving (6 teaspoons):

9 ÷ 6 = 1.5

This means that for every 1.5 teaspoons of oil used, we need 1 teaspoon of vinegar. Next, we use this ratio to determine the amount of vinegar needed when 24 teaspoons of oil are used:

1.5 ÷ 1 = 1.5

(teaspoons of oil per 1 teaspoon of vinegar)

24 ÷ 1.5 = 16

(teaspoons of vinegar needed)

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Answer:

8m=10m

Step-by-step explanation:

Answer:

Hope this helps and have a great day!

If you need me to explain more let me know!

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

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

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer:

G 52% to 60%

Explanation:

The percentage of voters that plan to vote Yes = 56%

The survey's margin of error = +/-4%

Therefore, the range for the percentage of voters who plan to vote Yes is:

The correct choice is G.

Answer:

-3

Step-by-step explanation:

Using trigonometric function the length to the nearest foot of the shortest ladder that will safely reach a roof that is 23 feet high is calculated as 25 feet.

What are trigonometric functions?

Simply put, trigonometric functions—also called circular functions—are the functions of a triangle's angle. This means that these trigonometric functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given the angle a ladder makes with the ground should be no greater than 67°.

So the angle θ ≤ 67°.

Let us assume the angle to be equal to 67°

The height of the roof from the ground is 23 feet.

The ladder and wall form the right triangle where the ladder works as hypotenuse and the wall as perpendicular.

With the sine function, find the length of the ladder -

sin θ = perpendicular/hypotenuse

Let the length of ladder be x.

sin 67° = 23/x

x = 23/sin 67°

x = 23/0.920

x = 25 feet

Therefore, the length of the ladder is 25 feet.

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The linear regression equation is y = -5x + 21

The points are given as:

(-5,14), (1,-16)

The equation is then calculated using:

\(y = \frac{y_2 -y_1}{x_2 -x_1} * (x - x_1) + y_1\)

This gives

\(y = \frac{14 + 16}{-5 - 1} * (x - 1) + 16\)

Evaluate

y = -5 (x - 1) + 16

Expand

y = -5x + 5 + 16

Evaluate the sum

y = -5x + 21

Hence, the linear regression equation is y = -5x + 21

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Answer:1,1

Step-by-step explanation:if you do it 90 degrees all the way around ur gonna get 1,1.

Answer:

The coordinates of A' are (-1,-3) , B' are (-2,-2) , C' are (-4,-3).

Step-by-step explanation:

Answer:

the graph that represents a linear are right and a

Below are some general reasons why a questionnaire might not be suitable:

Poorly constructed questions: If the questions in the questionnaire are not clear, ambiguous, leading, or biased, then the responses obtained may not be accurate or reliable. Poorly constructed questions may also lead to confusion, misunderstandings, and errors.

Lastly Inadequate sampling: If the sampling technique used to select respondents is not representative of the target population, then the results obtained may not be generalizable or applicable to the larger population. The sample size and composition may also affect the validity and reliability of the results.

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Answer:

TO be honest the answer is B

Step-by-step explanation:

I think so

The solution of the system of equations is (8, 11).

We know that one of the equations of the system is:

y = x + 3

And the other line passes through the points (3, 1) and (4, 3), then the slope of that line is:

a = (3 - 1)/(4 - 3) = 2

So the line is something like:

y = 2*x + b

To find the value of b, the y-intercept, we can replace the values of one of the points.

I will use (3, 1)

1 = 2*3 + b

1 = 6 + b

1 - 6 = b

-5 = b

So the other line is y = 2x - 5

Then the system of equations is:

y = x + 3

y = 2x - 5

Now we can solve the system:

x + 3 =2x - 5

3 + 5 = 2x -x

8  =x

The x-value of the solution is 8, then the only option that can be correct is.

(8, 11)

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Answer:

-2/-9

Step-by-step explanation:

The -2 would be the junction and so on the graph it would say -9 to the x

The answer to your question is letter C.

Because if we substitute the values of x in the function, we will obtain the values of f(x) given on the table.

Answer:

D

Step-by-step explanation:

because

( 5 + 2 + 1 ) is (x + y + z)