Tom bought 3 boxes of books at a yard sale. If each box had 2 books how many books did he Buy ?


i will be giving brainliest.

Answer:

y=63x+65

Step-by-step explanation:

To create a sign chart for the polynomial function F(x) = -(x+5)(x-2)(2x-4)(x-4)², we will examine the intervals defined by the critical points and the zeros of the function.

1. Determine the critical points  -

  - The critical points occur where the factors of the polynomial change sign.

  - The critical points are x = -5, x = 2, x = 4, and x = 4 (repeated).

2. Select test points within each interval  -

  - To evaluate the sign of the polynomial at each interval, we choose test points.

  - Common choices for test points include values less than the smallest critical point, between critical points, and greater than the largest critical point.

  - Let's choose test points  -  x = -6, x = 0, x = 3, and x = 5.

3. Evaluate the sign of the polynomial at each test point

  - Plug in the test points into the polynomial and determine the sign of the expression.

The sign chart for F(x) = -(x+5)(x-2)(2x-4)(x-4)² would look like this

Intervals              Test Point         Sign

-∞ to -5                  -6                    -

-5 to 2                   0                       +

2 to 4                    3                      -

4 to ∞                    5                      +

Note  - The signs in the "Sign" column indicate whether the polynomial is positive (+) or negative (-) in each interval. See the attached sign chart.

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Answer:

1.35 degrees per mg.

Step-by-step explanation:

The patient's temperature went from 105.85 to 99.1. That is a decrease of 6.75 degrees. You want to find the temperature decrease per milligram, which can be found by dividing the temperature by the number of mg of the drug.

6.75 / 5 = 675 / 500 = 1.35

So, the rate at which her temperature decreased per milligram is 1.35 degrees per mg.

Hope this helps!

Hi there.

Glad to see you using Brainly!

Equation:

a^2-b^2c^2

Then, multiply the terms with equal exponents.

(We can do this by multiplying their bases)

After:

a^2 - (b c)^2

Now, using a^2 - b^2 = (a-b)(a+b) we factor.

Therefore, after using that we get:

(a-bc) x (a+bc)

Therefore, our solution is

(a - bc) x (a+bc)

Thanks for using Brainly!

- Tutor John

Answer:

\( {a}^{2} - {b}^{2} {c}^{2} = (a - bc)(a + bc) \)

Based on the given information, the overall shape of the distribution can be described as skewed to the right. This means that the majority of the burrows have shallower depths, with fewer burrows having deeper depths.

To support this , we can observe that the frequency values decrease as the depths increase. This indicates that there is a long tail on the right side of the histogram, with a concentration of burrows towards the left side.

it is important to note that the distribution is not symmetrical and is instead skewed. The term "skewed" indicates that the data is not evenly distributed around the center and is tilted towards one side.

Furthermore, the answer should mention that the histogram indicates the frequency of burrows at different depths. The term "frequency histogram" refers to a graphical representation that shows the number of occurrences of each depth value.

Lastly, the answer can state that the distribution is not a perfect bell-shaped curve, but rather shows a skewness towards the right side. This means that there are more burrows with shallower depths and fewer burrows with deeper depths.

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Answer:

The answer is 2 quarts!(:

Step-by-step explanation:

Answer:

So 8 quarts would fill 2 gallons.

Step-by-step explanation:

There are 4 quarts in 1 gallon. Hope this helps!

Answer:

1 piece of UPS

Step-by-step explanation:

Here, we want to know the difference in the number of pieces handled at the different times

In 1995, amount handled = 1.8 * 10 = 18 pieces

In 2000, amount handled = 1.7 * 10 = 17 pieces

The difference between what was handled in the year 2010 and what was handled in 1995 is 18 -17 = 1

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

To solve the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0, we need to simplify and rearrange the equation to its standard form and then solve for p.

Combining like terms, the equation becomes:

3p^2 - 10p + 5 = 0

Now, we can use the quadratic formula to solve for p. The quadratic formula states:

p = (-b ± √(b^2 - 4ac)) / (2a)

For our equation, a = 3, b = -10, and c = 5. Substituting these values into the quadratic formula, we have:

p = (-(-10) ± √((-10)^2 - 4 * 3 * 5)) / (2 * 3)

Simplifying further:

p = (10 ± √(100 - 60)) / 6

p = (10 ± √40) / 6

p = (10 ± 2√10) / 6

Now, we can simplify and find the two possible values of p:

p₁ = (10 + 2√10) / 6

p₂ = (10 - 2√10) / 6

These are the solutions to the quadratic equation p^2 + 2p^2 - 5 * 2p + 5 = 0.

In simplified form, the solutions are:

p₁ = (5 + √10) / 3

p₂ = (5 - √10) / 3

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The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.

To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.

Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.

Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.

Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.

Therefore, the correct answer is option c. π/4.

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So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

Given

r= 2cost and theta = 9t

To Find

the velocity and acceleration vector

Solution

We can start by expressing the position vector r in terms of the Cartesian coordinates x and y:

x = r cos(theta) = 2cos(t)

y = r sin(theta) = 2sin(t)

To find the velocity vector, we can take the time derivative of the position vector:

v = (dx/dt) i + (dy/dt) j

where i and j are the unit vectors in the x and y directions, respectively.

Taking the derivatives:

dx/dt = -2sin(t)

dy/dt = 2cos(t)

Substituting these back into the velocity vector equation:

v = (-2sin(t)) i + (2cos(t)) j

To find the acceleration vector, we can take the time derivative of the velocity vector:

a = (d^2x/dt^2) i + (d^2y/dt^2) j

Taking the derivatives:

d^2x/dt^2 = -2cos(t)

d^2y/dt^2 = -2sin(t)

Substituting these back into the acceleration vector equation:

a = (-2cos(t)) i + (-2sin(t)) j

So the velocity vector is v = (-2sin(t)) i + (2cos(t)) j, and the acceleration vector is a = (-2cos(t)) i + (-2sin(t)) j, both in terms of t.

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The net sales in the department during the month of april is $15960.

Sell-thru perecentage rate = Units sold / Units recieved

In our case:

Net sales = (Sell-thru rate)*(opening inventory)

Net sales = (0.28)*($57000)

= $15960

Net sales refer to the total amount of revenue generated by a company from its primary business operations, minus any returns, allowances, and discounts. This figure reflects the actual revenue earned by a company after accounting for any deductions and is a critical metric for evaluating the financial performance of a business.

Net sales are reported on a company's income statement and are a key component of the top line, which also includes other sources of revenue, such as interest income or gains from the sale of assets. Understanding a company's net sales is essential for assessing its growth potential, profitability, and overall financial health. Investors, creditors, and other stakeholders use net sales as a metric to evaluate a company's ability to generate revenue from its core operations, as well as its ability to compete effectively in its industry.

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The mean of the sampling distribution of sample means is 495 hours.

What is the mean of the samples?

The mean of samples is the average of a set of samples or data.

This can be calculated using the formula:

Mean= (Sum of terms)/(Number of terms)

Find the mean of each sample as shown below:

Mean service life of sample 1 = \(\frac{495+500+505+500}{4} = \frac{2000}{4}\)

                                                = 500 hours

Mean service life of sample 2 =\(\frac{525 +515 +505 +515 }{4}=\frac{2060}{4}\)

                                                  = 515 hours

Mean service life of sample 3 =  \(\frac{470 +480 +460+ 470}{4}=\frac{1880}{4}\)

                                                  = 470 hours

Find the mean of the sampling distribution of sample means using the formula:

Mean of the sampling distribution (M)

=(Sum of mean of given samples )÷( Number of samples)

M = \(\frac{500+515+470}{3}=\frac{1485}{3}\)

M=495 hours

So, the mean of the sampling distribution of sample means is 495 hours.

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The mean of the sampling distribution of sample means is 495 hours.

What is the mean of the samples?

The mean of samples is the average of a set of samples or data.

This can be calculated using the formula:

Mean= (Sum of terms)/(Number of terms)

Find the mean of each sample as shown below:

Mean service life of sample 1 = \(\frac{495+ 500+ 505+ 500}{4}=\frac{2000}{4}\)

                                               = 500 hours

Mean service life of sample 2 = \(\frac{525+ 515+ 505+ 515 }{4}=\frac{2060}{4}\)

                                                 = 515 hours

Mean service life of sample 3 =  \(\frac{ 470+ 480 +460 +470}{4}=\frac{1880}{4}\)

                                                 = 470 hours

Find the mean of the sampling distribution of sample means using the formula:

Mean of the sampling distribution (M)

=(Sum of mean of given samples )÷( Number of samples)

M = \(\frac{500+515+470}{3}=\frac{1485}{3}\)

M=495 hours

So, the mean of the sampling distribution of sample means is 495 hours.

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answer: $1,012.50

Step-by-step explanation:

12.5 ÷ 100 = 0.125

0.125 × 800 = 100

800 + 100= 900 ( half-yearly interest)

0.125 × 900 = 112.5

900 + 112.5 = $1,012.50 ( end of first year interest)

Answer:

just do 19 +3+37 in and that all together you’ll get your answer

Step-by-step explanation:

The conditions on the positive numbers a, b, c, and d that will guarantee that every difference at every step in the expansion (a-b)(c-d) results in a positive number are:

1. a > b
2. c > d

This will ensure that the difference between a and b, as well as the difference between c and d, are both positive numbers. Therefore, when these two differences are multiplied together in the expansion (a-b)(c-d), the result will be a positive number.

For example, if a=5, b=2, c=8, and d=3, then the expansion (a-b)(c-d) will result in a positive number:

(5-2)(8-3) = (3)(5) = 15

As long as the conditions a > b and c > d are met, the expansion (a-b)(c-d) will result in a positive number.

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Answer:

The final balance is $4,353.56.

The total compound interest is $1,153.56.

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

subract 3 from -7

idk, i am pretty sure its -10

Answer:

86.7

Step-by-step explanation:

Answer:

86.7%

Step-by-step explanation:

Correct on Edge2020

Variance standard deviation coefficient of variation mean:

(a) The measures of variation that indicate spread about the mean are variance and standard deviation. Variance is the average squared deviation from the mean and provides an estimate of the degree of spread or dispersion of the data. Standard deviation is the square root of variance and is a commonly used measure of the spread of data. Coefficient of variation is also a measure of variation, which expresses the standard deviation as a percentage of the mean.

(b) The graphic display that shows the median and data spread about the median is the box-and-whisker plot. The box-and-whisker plot displays the five-number summary, which includes the minimum value, the first quartile, the median, the third quartile, and the maximum value. The box represents the middle 50% of the data and the whiskers show the range of the data outside the box. The median is represented by a line inside the box. The box-and-whisker plot is a useful tool for comparing distributions and identifying outliers.

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Answer:

Her elevation went down too quickly, if she is going down 300 ft per hour at a constant rate, at 1 hour, she should be at 2700 feet. It should take her about 10 hours to get down the mountain.

Answer:

x = 22

Step-by-step explanation:

5x + 24 = 134

134 - 24 = 110

110 / 5 = 22

x = 22

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

∠1 and ∠4 are supplementary angle in transversal line .

What is a transversal angle?

1) ∠6 ≅ ∠8   congruent angle.

2) ∠6 = ∠1 and ∠8 = ∠3    are Verical angles.

3) ∠1 and ∠4 are supplementary angle.

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If a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

A person going to a party was asked to bring 3 different bags of chips

On going to the store, she finds 15 varieties

Number of different selections can be found by using combination

nCr = n! / (r! x (n - r)!)

Where n denotes the number of choices available and r denotes the number of itmes to be choosen

Here n is 15 and r is 3

nCr = n! / (r! x (n - r)!)

¹⁵C₃ = 15! / (3! x (15 - 3)!)

¹⁵C₃ = 15! / (3! x12!)

¹⁵C₃ = 455

Therefore, if a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

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Answer:

rule add 15 subtract 10

Step-by-step explanation:

rule add 15 subtract 10.      rule add 15 subtract 16

The percentage is the indicating hundredth thus the percentage of winning is 58.33%.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

The percentage is just like the amount of that value but between 1 to 100 and it is very useful to predict for example if you say 678 then we have to know about the full number also but if you say 80% then it becomes clear.

As per the given,

Total matches = 120

Number of lost matches = 50

Number of winning match = 120 - 50 = 70

Winning percentage = (70/120) x 100 = 58.33%

Hence "The percentage is the indicating hundredth thus the percentage of winning is 58.33%".

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The value of the annual premium will be $1134.40

From the information given, the annual base premium will be:

= Liability premium + Collision premium + Comprehensive premium

= $383 + $240 + $86

= $709

The annual premium will be:

= Annual base premium × Driver eating factors

= $709 × 1.60

= $1134.40

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The average rate of change = (f(5950) - f(5900)) / (5950 - 5900) and the Rate of change at 5900 tents = f'(5900)

(a) To find the average rate of change in the unit price of a tent between two intervals, we use the formula:

Average rate of change = (f(x2) - f(x1)) / (x2 - x1)

For the interval between 5900 and 5950 tents, we substitute x2 = 5950 and x1 = 5900 into the function f(x) = -0.1x^2 - x + 40 and calculate the corresponding unit prices. Then, we divide the difference in unit prices by the difference in quantities demanded to find the average rate of change in dollars per 1000 tents.

Similarly, for the interval between 5900 and 5910 tents, we substitute x2 = 5910 and x1 = 5900 into the function and calculate the unit prices. Then, we find the average rate of change in dollars per 1000 tents.

(b) To find the rate of change of the unit price when the quantity demanded is 5900 tents, we take the derivative of the function f(x) with respect to x, which gives us f'(x) = -0.2x - 1. Evaluating f'(x) at x = 5900, we find the rate of change of the unit price in dollars per 1000 tents.

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Wen will have the following:

From the information provided we will have that:

To calculate chi-square test, the exact steps and options may vary slightly depending on the specific model of the TI-83 calculator and its operating system

What is Chi-Square Test?

When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables.

To put it another way, the main purpose of this test is to determine whether two category factors have independent effects on the test statistic.

It is frequently used to assess how well sampling data represents the entire population.

To calculate the chi-square test statistic on a TI-83 calculator, you can do the following:

Please note that the exact steps and options may vary slightly depending on the specific model of the TI-83 calculator and its operating system. It's always a good idea to refer to the calculator's manual or user manual for detailed instructions.

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