Find the points where the absolute maximum and minimum values for the function f ( x ) = x 3 + x 2 − 8 x + 5 occur on the interval [ − 4 , 3 ) . A. absolute maximum at ( − 2 , 17 ) and absolute minimum at ( 4 3 , − 41 27 ) B. absolute maximum at ( 3 , 17 ) and absolute minimum at ( 4 3 , − 41 27 ) C. absolute maximums at ( − 2 , 17 ) and ( 3 , 17 ) and absolute minimum at ( 4 3 , − 41 27 ) D. absolute maximum at ( − 2 , 17 ) and absolute minimum at ( − 4 , − 11 ) E. absolute maximums at ( − 2 , 17 ) and ( 3 , 17 ) and absolute minimum at ( − 4 , − 11 )

The type of sample that a store prints a request on each receipt asking customers to fill out a satisfaction survey online if they are willing is a voluntary response sample.

In the statistics world, a voluntary response sample is a research sample that relies on individual self-selection. This is in opposition to random sampling, in which the samples are gathered in a way that ensures everyone in a particular population has an equal chance of being chosen. This method of self-selection is also known as self-selection bias or sampling bias.Voluntary response samples are subject to a variety of flaws. The responses may not be representative of the population as a whole, and they may be skewed by numerous factors, such as which individuals are most likely to volunteer, how these volunteers differ from the population as a whole, and how the survey questions are phrased.The results of a voluntary response survey may be useful in generating hypotheses or gaining a general sense of how individuals feel about a particular subject. However, they are not reliable enough to draw any conclusions or to be taken seriously in the scientific sense.

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By solving a system of equations we will see that she sold 80 phones and 240 accessories.

Let's define the variables:

x = number of phones.

y = number of accessories.

We know that she makes $160 on commissions, and that she sold 3 times as many accessories as phones, so we can write the system of equations:

y = 3x

x*$8 + y*$4 = $160

To solve the system, we can replace the first equation into the second one.

x*$8 + (3x)*$4 = $160

x*$8 + x*$12 = $160

x*$20 =  $160

x  = $160/$20 = 80

She sold 80 phones, and the number of accessories is:

y = 3x

y = 3*80 = 240

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Answer:

3 units

Step-by-step explanation:

Given: Two shapes A and B

Required to find: The scale factor

Explanation:

STEP 1: Define Dilation

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

To dilate the figure by a factor of 2, I will multiply the x and y-value of each point by 2.

STEP 2: We then check for the length of the sides.

For shape A:

Lengths are given as 3 by 1 by 2 units

For shape B:

lengths are given as 9 by 3 by 6 units.

STEP 3: Divide the lengths of Shape B by Shape A.

\( \frac{9}{3} = \frac{3}{1 } = \frac{6}{2} = 3 units\)

ANSWER:

3 units

Ohhh, interest problems. I haven't done an equation like this in a long time, but I will attempt.

I would say that the answer is the 2nd option. The equation is i = (5200)(0.06)(2.5).

The traditional interest formula is I = (P)(R)(N).

P = the original amount of money given

R = interest rate

N = the amount of time

I hope this answers your question (and that I understood the question correctly!).

-Toremi

Answer: C

Step-by-step explanation:

13-3=10

Step-by-step explanation:

50words-1 minute

500words- x minute

500÷50=10

Based on this analysis, it's clear that the peak wind gusts are generally higher in January than in April at these weather stations in Rocky Mountain National Park.

Yes, based on the provided information, the peak wind gusts in Rocky Mountain National Park are higher in January than in April.
Compare peak wind gusts for each weather station in January and April:
  - Weather Station 1: January - 139 mph, April - 104 mph
  - Weather Station 2: January - 122 mph, April - 113 mph
  - Weather Station 3: January - 126 mph, April - 100 mph
  - Weather Station 4: January - 64 mph, April - 88 mph
  - Weather Station 5: January - 78 mph, April - 61 mph
Count the number of weather stations with higher peak wind gusts in January and April:
  - Higher in January: 4 weather stations (1, 2, 3, and 5)
  - Higher in April: 1 weather station (4)
Determine the overall trend:
  - The peak wind gusts are higher in January at 4 out of 5 weather stations in Rocky Mountain National Park.

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Here's a comparison of the peak wind gusts at each weather station: Weather Station: 1 2 3 4 5 January: 139 122 126 64 78 April: 104 113 100 88 61 At all five weather stations, the peak wind gusts in January are higher than those in April.

Based on the information provided from winter wind studies in Rocky Mountain National Park by D.E. Glidden, it appears that the peak wind gusts are higher in January than in April.

The data shows that at all five weather stations on Trail Ridge Road, the peak wind gusts in January are higher than in April. To determine if this difference is statistically significant, a significance level of 0.01 can be used. Further statistical analysis would be needed to determine the significance of this difference.

Here's a comparison of the peak wind gusts at each weather station: Weather Station: 1 2 3 4 5 January: 139 122 126 64 78 April: 104 113 100 88 61 At all five weather stations, the peak wind gusts in January are higher than those in April.

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The equation on the same line is y = 3x + 2.

Given,

The points are :

(0, 2) and (1, 5) are on a line

To find the what points would be on the same line?

Now, According to the question:

We know that

Formula of slope is :

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

The points are (0, 2) and (1, 5)

\(x_{1} = 0 , x_{2} = 1\\ y_{1}= 2 , y_{2} = 5\)

Substitute the values in above slope formula

m = (5-2) / (1-0)

m = 3

Substitute and calculate:

m = 3 , x = 0 , y = 2

and, y = mx + b

b = 2

Substitute y = 3x + 2 and m = 3 into y = mx + b

y = 3x + 2.

Hence, The equation on the same line is y = 3x + 2.

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Answer: 56

Step-by-step explanation: 14 x 4

Answer:

im really sorry i dont know  but i really need points for this test im doing i hope u understand

Step-by-step explanation:

Answer:

Is that your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

The Tigers will be on the 70 yd line on the field at the end of these eight downs?

Starting line = 35 yd line

run: 6 yd. gain,

run:2 yd. loss,

run:5 yd. gain,

run:2 yd. gain,

pass:19 yd. gain,

run:2 yd. gain,

pass:7 yd. gain,

run 4yd. loss

Starting line = 35 yd line + 6 yd - 2 yd + 5 yd + 2 yd + 19 yd + 2 yd + 7 yd - 4 yd

= 70 yd

Therefore, 70 yd line towards the opponent is where the tigers will be at the end of these eight downs.

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The number of waffles that there were initially are; 100 waffles

Let the number of waffles she baked be x.

Since she baked 1.5 times as many pancakes as waffles. Then;

Number of pancakes = 1.5x

She baked 45 more waffles.

Thus;

Total = 1.5x and (x + 45)

Her children ate 12 pancakes.

Thus, amount left is now;

(1.5x - 12) and (x + 45)

We are told that there were now 17 more waffles than pancakes.

Thus;

(x + 45) - (1.5x - 12) = 17

x + 45 - 1.5x + 12 = 17

0.5x = 50

x = 50/0.5

x = 100

Thus,there were 100 waffles initially.

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Answer:

the number of waffles is 100

To identify the correct scatter plot for variables y1 and x1, you need to analyze the data and look for a clear pattern in the relationship between the two variables.

What is scatter plots?

A scatter plot is a type of data visualization that displays the relationship between two variables.

In a scatter plot, each point represents a pair of values, one for each of two variables. The horizontal axis represents the values of one variable (in this case, x1), and the vertical axis represents the values of the other variable (y1).

The scatter plot can show the relationship between the two variables. If there is a positive correlation, the points will tend to cluster in a line that slopes up and to the right. If there is a negative correlation, the points will cluster in a line that slopes down and to the right. If there is no correlation, the points will be scattered randomly.

To determine which scatter plot is correct, you need to examine the data and see which plot matches the pattern of the data. If there is a clear positive or negative correlation, the correct plot will show a line sloping up or down. If there is no correlation, the correct plot will show a scatter of points with no clear pattern.

In summary, to identify the correct scatter plot for variables y1 and x1, you need to analyze the data and look for a clear pattern in the relationship between the two variables.

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The given variables can be represented as;

a. Numerical; Discrete

b. Categorical

c. Numerical; Continuous

a. Points scored in a football game: This variable is numerical because it represents a quantity that can be measured. However, it is discrete because the points scored are counted in whole numbers.

b. Racial composition of a high school classroom: This variable is categorical because it represents different categories or groups based on race. It does not involve numerical measurements.

c. Heights of 15-year-olds: This variable is numerical because it represents a measurable quantity. It can be continuous because height can take any value within a certain range and is not limited to specific values.

In summary, the variables can be classified as follows:

a. Numerical; Discrete

b. Categorical

c. Numerical; Continuous

Understanding the nature of variables is important for selecting appropriate statistical analysis methods and interpreting the data accurately.

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The solutions of the equation  x² + 2x + 10 = - 3x + 4 are  x=-2 and x=-3

The given equation is x² + 2x + 10 = - 3x + 4.

Take all the terms to the left side

x² + 2x + 10+3x-4=0

Combine the like terms

x²+5x+6=0

x²+2x+3x+6=0

Take out the factors

x(x+2)+3(x+2)=0

(x+3)(x+2)=0

x=-2 and x=-3

Hence, x=-2 and x=-3 are the solutions of the equation  x² + 2x + 10 = - 3x + 4.

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If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.

Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.

Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.

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Answer:

1) Words learned=15x+75

2) 15 is the slope

3) 270 words

4) 21 weeks

Step-by-step explanation:

Let x be equal to the number of weeks that pass.

Let y be equal to the number of words we learn.

1) We're told that we learn 15 words per week. Therefore, 15x would equal the number of words we learn. However, because we already know 75, we add that to 15x, giving us this equation:

y=15x+75

2) The slope is the same thing as the rate of change in a situation. In this scenario, every week, we learn 15 words. Therefore, the rate of change, or the slope, is 15.

3) To find this, plug 13 into our equation as x and solve for y.

y=15x+75

y=15(13)+75

y=195+75

y=270

Therefore, we would learn 270 vocabulary words in total in 13 weeks.

4) To find this, plug 390 into our equation as y and solve for x.

y=15x+75

390=15x+75

Subtract 75 on both sides to isolate x

390-75=15x+75-75

315=15x

Divide both sides by 15

315/15=15x/15

21=x

Therefore, it would take 21 weeks to learn 390 new vocabulary words.

I hope this helps!

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

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Answer:

175$

Step-by-step explanation:

200$ at 15% = 170

170$ + 5.00$ = 175$

Answer:

26

Step-by-step explanation:

w = 5 so 7w is 7 x 5 = 35 and x = 9 so it’s 35 - 9 which is 26

Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.

A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.

a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.

The left boundary of the confidence interval is:

65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)

b) The right boundary of the confidence interval is:

65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)

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Step-by-step explanation:

15×2.25

pounds sold = 33.75

It will take 35 years to double the population

Percentages are just fractions with a denominator of 100. To show that a number is a percentage, we place the percent sign (%) next to it. For instance, if you properly answered 68 out of 100 questions on a test, you would have received a 68% grade (68/100).

According to the given information

Let \(P(0)\) be initial population

and K be the growth rate

Then Population of the country after t years

\(P = P(0)e^{Kt}\)

Let x be the present population

2x will be the double of present population

And we know

The growth rate K = 0.02%

So

The value of t could be determined as follows

\(xe^{0.02t}=2x\)

\(e^{0.02}=2\)

\(0.02t=ln(2)\)

Multiply both sides by 1000

0.02t × 1000 = ln(2) × 1000

Refine

20t = ln(2) × 1000

Divide both sides by 20

\(\frac{20t}{20}=\frac{ln(2).1000}{20}\)

t = \(ln(2).500\)

t = 0.693×50

t = 34.65 years

t = 35 years

It will take 35 years to double the population

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Answer:

B

Step-by-step explanation:

p(-3)=1/4(-3)²+1=9/4+1=13/4=3.25

p(5)=1/4(5)+2.5

=5/4+2.5

=1.25+2.5

=3.75

Answer:

1

Step-by-step explanation:

1+1=2

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Answer:

47.7° or 132.3°

Step-by-step explanation:

In A ABC, m B = 25°, b = 12 and c = 21. Find all possible mC to the

nearest degree.

We solve the above question using Laws of sines.

The formula is given as

b/sin B = c/sin C

b = 12

B = 25°

c = 21

C = ?

Hence:

12/sin 25 = 21/sin C

Cross Mulitiply

= 12 × sin C = sin 25 × 21

sin C = sin 25 × 21/12

C = arc sin (sin 25 × 21/12)

C = 47.7°

The second possible value of C =

180° - 47.7°

= 132.3°

Therefore, all the possible values of mC = 47.7° or 132.3°