What is the completely factored form of f(x) = x^3-7x^2 2x +4?​

Answer:

2 hours 23 minutes i think

Answer:

n = 13

Step-by-step explanation:

Assuming XZ is a segment with Y in between X and Z,

\(XY+YZ=XZ \\ \\ 5n+2n=91 \\ \\ 7n=91 \\ \\ n=13\)

Answer:

x=16

Step-by-step explanation:

Twice a number added to 3 divided by the number plus 5 =3+2x/x+5

5 thirds =5/3

so is 3+2x/x+5=5/3

multiply each term by the lcm=3(x+5)

Group like terms and find x

when x is found then that is the number

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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The resulting mixture contains approximately 64.5% alcohol, not 58.6% as you mentioned.

We can calculate the weighted average of the alcohol percentages based on the volumes of each component.

Let's figure out how much alcohol there is overall in the mixture:

Total alcohol is calculated as follows: (Volume of 45% alcohol) * (Property of 45% alcohol) + (Volume of 82% alcohol) * (Property of 82% alcohol) + (Volume of 92% alcohol) * (Property of 92% alcohol).

Total alcohol = (5 liters) * (45%) + (4 liters) * (82%) + (1 liter) * (92%)

Total alcohol = 2.25 liters + 3.28 liters + 0.92 liters

Total alcohol = 6.45 liters

Let's now determine the amount of alcohol included in the final mixture:

Alcohol content is calculated as (total alcohol / total mixture volume) * 100.

The mixture's total volume is  = 5 liters + 4 liters + 1 liter = 10 liters

Alcohol content: (6.45 liters / 10 liters) x 100 = 64.5%

Therefore, the resulting mixture contains approximately 64.5% alcohol, not 58.6% as you mentioned.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Answer:

The correct network diagram is the first one.

Step-by-step explanation:

Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1

Excel formulation:

А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,

Solver inputs:

Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5

Solution:

Amount Billing

Avery-Client A 0 0

Avery-Client B 40 5000

Avery-Client C 100 11500

Avery-Client D 0 0

Baker-Client A 40 4800

Baker-Client B 35 4725

Baker-Client C 0 0

Baker-Client D 85 10200

Campbell-Client A 140 21700

Campbell-Client B 0 0

Campbell-Client C 0 0

Campbell-Client D 0 0

Total Billing  57925

Make 'Avery to B' zero in the solver entry and run the model again:

Amount Billing

Avery-Client A 0 0

Avery-Client B 0 0

Avery-Client C 100 11500

Avery-Client D 40 4000

Baker-Client A 40 4800

Baker-Client B 75 10125

Baker-Client C 0 0

Baker-Client D 45 5400

Campbell-Client A 140 21700

Campbell-Client B 0 0

Campbell-Client C 0 0

Campbell-Client D 0 0

Total Billing  57525

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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The appropriate hypothesis test is a two-sample t-test for independent samples.

The appropriate hypothesis test in this scenario is a two-sample t-test for independent samples. Since the population standard deviations are known, we can use the Z-test instead.

The test statistic can be calculated using the formula:

t = (x1 - x2) / sqrt((s1^2 / n1) + (s2^2 / n2))

Where:

x1 and x2 are the sample means for Manufacturer A and Manufacturer B, respectively.

s1 and s2 are the population standard deviations for Manufacturer A and Manufacturer B, respectively.

n1 and n2 are the sample sizes for Manufacturer A and Manufacturer B, respectively.

Plugging in the given values:

x1 = 179, x2 = 178, s1 = 1, s2 = 5, n1 = n2 = 108

t = (179 - 178) / sqrt((1^2 / 108) + (5^2 / 108))

t = 1 / sqrt(0.00926 + 0.0463)

t ≈ 1 / sqrt(0.05556)

t ≈ 1 / 0.2357

t ≈ 4.241

To determine whether there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different, we compare the calculated t-value to the critical value from the t-distribution at the desired significance level (0.05).

The decision depends on the degrees of freedom for the test, which is calculated as (n1 + n2 - 2) = (108 + 108 - 2) = 214.

Using a t-table or statistical software, we find that the critical value for a two-tailed test with a significance level of 0.05 and 214 degrees of freedom is approximately ±1.972.

Since the calculated t-value of 4.241 exceeds the critical value of 1.972, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the voltage of the batteries made by the two manufacturers is different at the 0.05 significance level.

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The like terms are listed as follows:

-y, 7y and y/2.

Like terms are terms that share these two features:

If two terms are like terms, then they can be either added or subtracted.

Hence the first option is the only option in which all the three terms are like terms, as:

The remaining options have terms with different letters(second and third), or different exponents (fourth), hence they are not like terms.

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The answer for blanks in statements are, an x-intercept of 1 , -3, x>1 , increasing , 7.5.

Many mathematical and real-world phenomena are described by functions. Modeling real-world occurrences like population increase, interest rates, or physical motion is frequently done using them. There are many distinct features that functions can have, including continuity, differentiability, and periodicity. Functions can also be linear or nonlinear.

The domain and range of functions are crucial components. The set of all potential input values makes up the domain of a function, whereas the set of all possible output values makes up the range. The behaviour of a function, such as whether it is increasing, decreasing, or constant, can also be used to categorize it. A function's graph shows the relationship between its input and output values graphically.

Function h has an x-intercept of 1 and a y-intercept of -3.  The function is positive for x>1 and increasing on all intervals of x. The average rate of change for the function on the interval [0, 2] is 7.5

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Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

the probability that sales will be less than 81,000 packages is 0.6681

Step-by-step explanation:

Given that;

Average sales μ = 87,000

standard deviation σ = 4,000

x' = 81,000

P( x < 81,000) = ?

so

P( x < 81,000) = P( x - μ / σ )

we substitute

P( x < 81,000) = P( 81,000 - 87000 / 4000 )

P( x < 81,000) = P(  - 6000 / 4000 ) = -1.5

from table;

P( z < 1.5 ) = 0.6681

Therefore the probability that sales will be less than 81,000 packages is 0.6681

Answer:

3

Step-by-step explanation:

If I’m wrong sorry

But can I get brainlist

Answer:6 apples cost exactly the same as 9 oranges. 10 apples and 10 oranges cost $7.50. Find the cost of 1 apple and the cost of 1 orange.

Step-by-step explanation:

The area of triangle ADE is,

⇒ A = 48 square units

We have to given that,

In the diagram , DE is a midsegment of triangle ABC.

And, The area of triangle ABC is 96 square units

Now, We know that,

Since DE is a midsegment of triangle ABC, it is parallel to AB and half the length of AB. Therefore, DE is half the length of AB.

Hence, the area of triangle ADE is half the area of triangle ABC,

That is,

A = 96 / 2

A = 48 square units

Thus, The area of triangle ADE is,

⇒ A = 48 square units

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Answer:

G. 4 x (-5)

Step-by-step explanation:

This gets you to -20 and you are subtracting 5 4 times. So this makes the most sense to me.

Hope it helps!

The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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The y-intercept of the line of fit is approximately 43.94 fluid ounces.

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.

No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.

The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.

Therefore,  The y-intercept of the line of fit is approximately 43.94 fluid ounces.

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Answer:

e

Step-by-step explanation:

24*5/3=40

9514 1404 393

Answer:

  x ≈ 0.45

Step-by-step explanation:

The attachment shows the evaluation of the iteration function at x=1 and several iterations after that. The values seem to converge on about 0.4534. To 2 decimal places, the root is approximately ...

  x ≈ 0.45

The graph for the linear equation y = - 4 x + 2 has been obtained.

We are given a linear equation:

y = - 4 x + 2

We need to graph this linear equation.

We will first find out some points that satisfies this equation.

So, the points are:

 x           y

- 2         10

- 1           6

0           2

1          - 2

2         - 6

Now plotting these points on the graph, we can obtain the graph of the linear equation.

Therefore, the graph for the linear equation y = - 4 x + 2 has been obtained.

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Answer:

The answer is -3/7.

Hope this answer helps.

The solution of the expression will be;

⇒ x = - 3/7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - 3.1 = - 3.5x - 4.6

Now,

Solve the equation as;

The expression is,

⇒  - 3.1 = - 3.5x - 4.6

⇒ 3.5x = 3.1 - 4.6

⇒ 3.5x = - 1.5

⇒ x = - 1.5 / 3.5

⇒ x = - 15/35

⇒ x = - 3/7

Thus, The solution of the expression will be;

⇒ x = - 3/7

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Answer:

See below!

Step-by-step explanation:

254, 202, 284, 269, 151, 258, 202

Mean of the data:

\(\displaystyle Mean= \frac{Sum \ of \ data}{number \ of \ data} \\\\Mean = \frac{254+202+284+269+151+258+202}{7} \\\\Mean=\frac{1620}{7} \\\\\boxed{Mean = 231.4}\)

Median of data:

Arrange the data in increasing order.

151, 202, 202, 254, 258, 269, 284

The middle value = 254

So,

Mode in data:

The mode, here, is 202. (occurring 2 times.)

So,

\(\rule[225]{225}{2}\)

Answer:

h=3.83

Step-by-step explanation:

6.51 - 9.32 + h = 1.02         --> first, subtract: 6.51 - 9.32

-2.81+h=1.02                    --> add 2.81 to both sides

h=3.83                                     --> answer

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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