Find the sum of the first 10 terms 6,-15, 75/2

Answer:

Yes

Step-by-step explanation:

x+1 is a factor of f(x) because \(f(x)=(x+1)(2x^2-5x+12)\), which can be easily found via polynomial division or some other strategy. Because \(f(x)=(x+1)(p(x))\), where p(x) is a polynomial without remainder, x+1 is a factor of f(x).

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Both equal 2/3

Answer:

A) v = T/2 - 5

Step-by-step explanation:

T = 10+2v

2v = T-10

v = (T-10)/2 = T/2-5

The equation that describes no. of DVDs that Ingrid can rent is A.              v = (T/2) - 5.

An equation states that terms on both sides of the equality sign are equal.

The monthly membership costs 10 dollars, and The rent for each DVD costs 2 dollars.

No. of DVDs that can be rented is denoted by v based on T.

The equation that describes the total cost of renting DVDs is,

T = 2v + 10.

∴ The equation that describes no. of DVDs that can be rented is

2v = T  - 10.

v = (T/2) - 5.

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Answer:

\the factors of 64 are 1, 2, 4, 8, 16, 32, and 64.

Step-by-step explanation:

factors

Answer:

1, 2, 4, 8, 16, 32 and 64.

Step-by-step explanation:

because yes

Answer:

Step-by-step explanation:

1. 1/4a = 3

   a = 12

   answer is C

2. -2c = 18

     c = -9

   answer is A

3. 2/3x = 6

    2x = 18

     x = 9

   Answer is A

4. x/4 =12/6

    x/4 = 2

     x = 8

   answer is C

5. 18 - 11= 7 more cupcakes

     answer is C

Answer:

33.33%

Step-by-step explanation:

Given data

Total number of students= 44

Number of students that picked vanilla= 33

Therefore the percentage that picked vanilla is

=44-33/44*100

=11/33*100

=0.3333*100

=33.33%

Hence the percentage is 33.33%

To calculate the probability of drawing a red marble followed by a blue marble with replacement from the given bag containing 6 green marbles, 2 blue marbles, and 4 red marbles.

we need to consider the individual probabilities of each draw and multiply them together.

The first paragraph provides a concise summary of the answer, while the second paragraph explains the solution in more detail.

The probability of drawing a red marble followed by a blue marble with replacement can be calculated by multiplying the probability of drawing a red marble and the probability of drawing a blue marble.

The probability of drawing a red marble on the first draw is 4/(6+2+4) = 4/12 = 1/3, as there are 4 red marbles out of a total of 12 marbles. Since the draws are made with replacement, the probabilities remain the same for each draw.

Similarly, the probability of drawing a blue marble on the second draw is 2/12 = 1/6, as there are 2 blue marbles out of 12 marbles.

To calculate the probability of both events occurring consecutively, we multiply the probabilities together: (1/3) * (1/6) = 1/18.

Therefore, the probability of drawing a red marble followed by a blue marble with replacement from the given bag is 1/18.

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1) Since the question here is to predict a player's salary, then we'll need two columns from that: HR and Salary to begin with:

2) Now we need to expand this table to get the values we need to write out the equation, to begin answering those questions:

a) Examining the data, we can infer that:

No, it does not seem likely that there is a strong correlation

Analyzing Home Runs (x) and Salaries (y) on the table above, since there is one player with 47 HR earning a lot less than another one who made 15 Home Runs.

b) Let's calculate the value of this correlation coefficient using this formula:

Plugging into that the values or our table we have:

So we have a correlation (r) of r= 0.137 a weak positive correlation

c)

d) To find the equation of the line, we need to find the slope first and then the linear coefficient:

So let's find out the slope, and then plugging into that the values of that table for Σ the last row of each column: Σx, Σy, Σxy, Σx² and Σy² and n=15

For the "b" term, i.e. the linear coefficient:

The equivalent expression for the 9^(−7) × 9^(5) is one over nine raised to the second power. 1/9²

The correct answer option is option B

9^(−7) × 9^(5)

= 9^(-7 + 5)

= 9^-2

= 1/9²

Check all the options:

A. −9²

B.one over nine raised to the second power

= 1/9²

C. one over nine raised to the power of negative two

1/9^-2

D.9²

Therefore, the equivalent expression for the 9^(−7) × 9^(5) is one over nine raised to the second power. 1/9²

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Answer:

Any number greater than 3

Step-by-step explanation:

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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The two general approaches are qualitative and quantitative.

Forecasting is a technique that uses past data as inputs to make future predictions by determining the direction of trends in the future.

It is an estimation methodology that uses judgment, other than numerical analysis. This type of forecasting depends upon the knowledge of most experienced employees and consultants to provide predictions for future outcomes.

It is a data-based math process that teams use to understand performance and predict future based revenue on the data and the patterns. Forecasting results gives businesses the ability to make informed decisions on strategies and processes to ensure continuous success

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Answer:

x = 30, x = 5 and x = 9

Step-by-step explanation:

The diagonals of a square are perpendicular bisectors of each other, so

∠ AEB = 90° , then

3x = 90 ( divide both sides by 3 )

x = 30

---------------------------------------------------------

(9)

The 4 angles of a square are right and the diagonals bisect the angles, then

∠ BAC = 45° , so

9x = 45 ( divide both sides by 9 )

x = 5

-------------------------------------------------------

(10)

All sides are congruent , so

CD = AB , that is

3x - 5 = 2x + 4 ( subtract 2x from both sides )

x - 5 = 4 ( add 5 to both sides )

x = 9

The probability that Julian will roll a 3 on the next roll is approximately 16.67%. The probability of rolling a 3 on a normal 6-sided die is independent of the previous rolls. This means that regardless of the outcomes of Julian's previous rolls, the probability remains the same.

Explanation

On a 6-sided die, there is 1 favorable outcome for rolling a 3 (the number 3 itself) out of 6 possible outcomes (1, 2, 3, 4, 5, and 6).

To find the probability, you can use the formula:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

In this case:

Probability of rolling a 3 = 1 (favorable outcome) / 6 (total outcomes)

Probability of rolling a 3 = 1/6 ≈ 0.1667 or 16.67%

So, the probability that Julian will roll a 3 on the next roll is approximately 16.67%.

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Answer:

What do you need help with?

Step-by-step explanation:

Answer:

HELP WITH WHAT

Step-by-step explanation:

Answer:

\(\small\mathfrak\red{here \: is \: your \: solution..} \\ \\ we \: know \: that \: tangent \\ from \: a \: same point \: are \: equal \\ \\ tr = 9 | an = 7 | eg = 5 \\ \\ tr = ta | an = gn | eg = re \\ \\ ta = 9 | gn =7 | re = 5 \\ \\ hence \: perimeter \: = 2(9 + 7 + 5) \\ \\ perimeter = 42 \: \\ \\ \huge\mathfrak\purple{hope \: it \: helps...}\)

Answer:

x-10

Step-by-step explanation:

you have to do what is in the parenthesis first. Do distributive property to

-(x-8)

-(x)-(-8)= -x+8

now you have 5-(3-x+8)

Do distributive property again

5-3+x-8

x-8+2

x-10

hope this helps ~D~

Answer:

your answer will be X−6

Step-by-step explanation:

hope it helps

have a nice day/night ^_^

It believed that self interest was the greatest motivator of the people.

What about self interest?

Self-interest refers to the motivation or desire of an individual to pursue their own benefit or well-being. It is a fundamental human behavior that drives individuals to make decisions and take actions that are likely to result in personal gain or advantage.

Self-interest can manifest in various forms, such as seeking financial gain, pursuing personal happiness, or striving for success and recognition. While self-interest can be seen as a positive force that drives individuals to work hard and achieve their goals, it can also lead to negative consequences if pursued at the expense of others or the common good.

In economic theory, self-interest is often viewed as a key driver of market behavior, as individuals and businesses seek to maximize their profits or utility. However, many argue that a purely self-interested approach can lead to negative externalities and social problems, and that considerations of the greater good and moral principles should also be taken into account.

According to the given information:

Alexander Hamilton believed that self interest was the greatest motivator of people.

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It believed that self interest was the greatest motivator of the people.

What about self interest?

Self-interest refers to the motivation or desire of an individual to pursue their own benefit or well-being. It is a fundamental human behavior that drives individuals to make decisions and take actions that are likely to result in personal gain or advantage.

Self-interest can manifest in various forms, such as seeking financial gain, pursuing personal happiness, or striving for success and recognition. While self-interest can be seen as a positive force that drives individuals to work hard and achieve their goals, it can also lead to negative consequences if pursued at the expense of others or the common good.

In economic theory, self-interest is often viewed as a key driver of market behavior, as individuals and businesses seek to maximize their profits or utility. However, many argue that a purely self-interested approach can lead to negative externalities and social problems, and that considerations of the greater good and moral principles should also be taken into account.

According to the given information:

Alexander Hamilton believed that self interest was the greatest motivator of people.

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Answer:

The answer is option A

A) Circumference= 12\(\pi\) m

Step-by-step explanation:

To find the circumference of a circle the formula you would use is C=2\(\pi\)r

if the radius is 6 meters, C is

C = 2*6 \(\pi\)r

C= 12\(\pi\) m

Answer: 26

Step-by-step explanation:

Answer:

26 is the answer because we have to subtract when the signs of the number are diffrent and add when it is same . so +18 - (-8) = 26

The scale factor of Hillary's photograph of her house is 1:8. This means that for every 1 inch of the house that is shown in the photograph, the house is actually 8 inches tall in real life.

To calculate the scale factor, you need to divide the actual height of the house by the height shown in the photograph. 28.5 feet divided by 3.6 inches gives a result of 8. In other words, for every 1 inch of the house that is shown in the photograph, the house is actually 8 inches tall in real life.

To explain further, the scale factor is a ratio that is used to compare two different measurements of the same object or shape. It tells us how much bigger or smaller one measurement is compared to another. In this case, we have compared the actual height of the house (28.5 feet) to the height of the house as shown in the photograph (3.6 inches). The ratio of the two measurements (1:8) tells us that the house is 8 times bigger in real life than it appears in the photograph.

The scale factor is an important concept in the field of mathematics and is often used in science, engineering, and architecture. It is used to measure the size and shape of objects, as well as to convert measurements from one unit of measure to another.

Therefore, the scale factor of Hillary's photograph of her house is 1:8, meaning that for every 1 inch of the house that is shown in the photograph, the house is actually 8 inches tall in real life.

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Oh please first if the rectangle was compete, it's area would be 8.

The area of the missing triangle is \(\frac{2*2}{2}\)=2.

8-2=6

And there you go! Your answer is 6.

Find the difference in temperature between each 1000 feet:

From 1 to 2: 30 - 23.5 = 6.5

From 2 to 3: 23.5 - 17 = 6.5

From 3 to 4: 17 - 10.5 = 6.5

The temperature change is constant as it drops 6.5 degrees for every 1000 foot gain in elevation.

At 5,000 feet the temperature would be : 10.5 - 6.5 = 4

At 6,000 feet: 4 - 6.5 = -2.5

At 7,000 feet: -2.5 - 6.5 = -9

At 8,000 feet: -9 - 6.5 = -15.5

At 8,000 feet the temperature would be  -15.5 degrees.

As we see, p-value is less than the significance level, so null hypothesis rejected and there is no evidence to support the claim that population mean is 22 degree C.

The population mean can be calculated by the sum of all values in the given data/population divided by a total number of values. We have various temperature measurements are recorded at different times for a particular city.

Sample Mean, \(\bar X \) = 20°C

Standard deviations,\(\sigma \)= 1.5° C

Level of significance, = 0.05

We have to test that population mean is 22 degree C. Consider the hypothesis testing, the null and alternative hypothesis are \(H_0 : \mu = 22 \).

\(H_a : \mu ≠ 22 \).

Consider the test statistic, z test for mean formula, \(z = \frac{\bar x - \mu }{\frac{\sigma}{\sqrt{n}}}\).

=> \(z = \frac{20 - 22}{\frac {1.5}{\sqrt{60}}}\).

= - 10.32

Now, using distribution table, the p-value for z = - 10.32 is less than to 0.001. So,

p-value < 0.05, so null hypothesis is rejected.

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Answer:

B

Step-by-step explanation:

edge

Answer:

B. -7/25

Step-by-step explanation:

edge

The answer is $1,293.75 per unit.

(a) The formula for total revenue as a function of x is R(x) = (1600 - 0.25x)x dollars per week.
(b) The formula for total cost as a function of x is C(x) = 0.8x^2 + 1410x + 400 dollars per week.
(c) To find the break-even points, we need to set the revenue equal to the cost and solve for x.
1600x - 0.25x^2 = 0.8x^2 + 1410x + 400
Simplifying the equation, we get:
1.05x^2 - 190x - 400 = 0
Using the quadratic formula, we get:
x = 166.986 or x = 355.556 (rounded to three decimal places)
The larger break-even point is 355.556 units per week, with corresponding revenue of $511,111.11 per week.
The smaller break-even point is 166.986 units per week, with corresponding revenue of $266,777.78 per week.
(d) The formula for profit as a function of x is P(x) = R(x) - C(x).
Substituting the expressions for R(x) and C(x), we get:
P(x) = (1600 - 0.25x)x - (0.8x^2 + 1410x + 400) dollars per week.
(e) To find the price that maximizes profit, we need to find the derivative of the profit function and set it equal to zero.
P'(x) = 1600 - 0.5x - 0.8(1410 + 1.6x)
Setting P'(x) = 0, we get:
x = 807.5
Substituting x = 807.5 back into the expression for the revenue, we get:
R(807.5) = $1,045,625.00
To find the price that maximizes profit, we need to divide the revenue by the number of units sold:
$1,045,625.00 / 807.5 = $1,293.75 per unit.

Therefore, the answer is $1,293.75 per unit.

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(i) The number of different divisions possible when 15 children divide themselves into teams of 5 each (Team A, B, and C) is 756.

(ii) If the teams are not distinguishable, the number of different divisions possible is 756 divided by 3!, which equals 126.

(i) To determine the number of different divisions when 15 children divide themselves into three teams of 5 each, we can calculate the number of combinations.

Since the order of the teams does not matter, we use the combination formula.

The formula is nCr = n! / (r! * (n - r)!), where n is the total number of children and r is the number of children per team.

Plugging in the values, we have 15C5 * 10C5 = (15! / (5! * 10!)) * (10! / (5! * 5!)) = 756.

(ii) If the teams are not distinguishable, we need to account for the fact that the order of the teams doesn't matter.

Each division would be counted multiple times if we considered the teams distinguishable. Since there are 3! (3 factorial) ways to arrange the teams, we divide the previous result by 3!, which gives us 756 / 3! = 126.

This accounts for the different arrangements of the same teams and gives us the number of distinct divisions.

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