evaluate the integral using the following values. 8 2 x3 dx = 1,020, 8 2 x dx = 30, 8 2 dx = 6 8 2 1 4 x3 dx

Answer:

1

Step-by-step explanation:

The Greatest Common Factor (GCF) of the numbers

2w3,9w3

is

1

because 1 is the greatest number that divides evenly into all of them.

Answer:

not equal because 2+5=7 and 1+5=6

Step-by-step explanation:

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

Answer:

7.333333... or 22/3

Step-by-step explanation:

ok soo it goes like this

ok soo it goes like this - (first one) let 2x-4= laura

ok soo it goes like this - (first one) let 2x-4= laura - (second one) let x= stacy

ok soo it goes like this - (first one) let 2x-4= laura - (second one) let x= stacy soo Laura = 2x-4

ok soo it goes like this - (first one) let 2x-4= laura - (second one) let x= stacy soo Laura = 2x-4x + 2x + 4 = 26

ok soo it goes like this - (first one) let 2x-4= laura - (second one) let x= stacy soo Laura = 2x-4x + 2x + 4 = 263x + 4 = 26 ( add x & 2x)

ok soo it goes like this - (first one) let 2x-4= laura - (second one) let x= stacy soo Laura = 2x-4x + 2x + 4 = 263x + 4 = 26 ( add x & 2x)3x = 22 (subtract 4)

divide by 3

The number of books read by Stacy is 10 books

Let the number of books read by Stacy be represented with s

The number of books read by Laura can be represented with this expression: 2s - 4

The number of books Stacy and Laura read together is 26 books

In order to determine the number of books read by Stacy, take the following steps

2s - 4 + s = 26

Add similar terms

3s - 4 = 24

3s = 26 + 4

3s = 30

Divide both sides of the equation by 2

s = 30 / 3

s = 10

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Each of Polina's juice pouches holds 7 fluid ounces of juice. A equation that connects the quantity of juice in each pouch to the overall amount in fluid ounces is p-7j=0.

Given that,

Each of Polina's juice pouches holds 7 fluid ounces of juice.

We have to create a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces.

The equation is p=7j

p-7j=0

Therefore, a equation that connects the quantity of juice in each pouch (p) to the overall amount (j) in fluid ounces is p-7j=0.

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Answer:when do you need this by

Step-by-step explanation:

Answer:

-18 and -2

Step-by-step explanation:

(The answer above is 100% correct)

The answer for the fraction 1/4 of 100 is 25.

Given,

The fraction; 1/4

We have to find the 1/4 of 100.

Fraction;

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

There are three main categories of fractions in mathematics. Proper fractions, incorrect fractions, and mixed fractions are these three types. The expressions with a numerator and a denominator are called fractions

Here,

1/4 of 100 = 1/4 x 100 = 25.

That is,

The answer for the fraction 1/4 of 100 is 25.

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The population variance of the capacities is 30.76

the capacities (in ampere-hours) of 10 batteries are 140, 136, 150, 144, 148, 152, 138, 141, 143, 151.

The number of observations n = 10

mean = (x₁ + x₂ + x₃.....x₁₀)/10

mean = (140 + 136 + 150 + 144 + 148 + 152 + 138+ 141 + 143 + 151)/10

mean = 1443/10 = 144.3

variance = ∑(x - mean)²/(n - 1)

variance = ((140 - 144.3)² + (136 - 144.3)² + (150 - 144.3)² + (144- 144.3)² + (148 - 144.3)² + (152 - 144.3)² + (138 - 144.3)² + (141-144.3)² + (143 - 144.3)² + (151 - 144.3)²)/(10 - 1)

variance = 276.9/9 = 30.76

Therefore, the population variance of the capacities is 30.76

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A

Its the first equation.

Answer:

x+y-5=0

Step-by-step explanation:

The coordinate of D’ after the dilation is (-6, 0)

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

D = (-2, 0)

Scale factor = 3

The coordinate of D’ after the dilation is calculated as

D' = D * Scale factor

Substitute the known values in the above equation, so, we have the following representation

D' = (-2, 0) * 3

Evaluate

D' = (-6, 0)

Hence, the image is (-6, 0)

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The standard form of thirty-six thousand, four hundred eighty-one is:

A. 36,481

Here's the breakdown of the number:

- 36,000 represents thirty-six thousand
- 400 represents four hundred
- 81 represents eighty-one

When you add these values together, you get 36,000 + 400 + 81 = 36,481.

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Answer:

the answer is c

Step-by-step explanation:

good luck

Answer:

last option

Domain: -3,-1,2,5    Range: 0,2,4

It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!

Step-by-step explanation:

The domain is the x values and the range is the y values.

Hope this helps!

The equation in spherical coordinates is a) 3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

b) 2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

a) The equation in Cartesian coordinates is 3x² - 2x + 3y² - 3z² = 0. To convert to spherical coordinates, we use the following substitutions:

x = ρsinϕcosθ

y = ρsinϕsinθ

z = ρcosϕ

Substituting these values into the Cartesian equation gives:

3(ρsinϕcosθ)² - 2(ρsinϕcosθ) + 3(ρsinϕsinθ)² - 3(ρcosϕ)² = 0

3ρ²sin²ϕcos²θ - 2ρsinϕcosθ + 3ρ²sin²ϕsin²θ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ(cos²θ + sin²θ) - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

3ρ²sin²ϕ - 2ρsinϕcosθ - 3ρ²cos²ϕ = 0

Simplifying and dividing by ρ² gives:

3sin²ϕ - 2sinϕcosθ/ρ - 3cos²ϕ = 0

(b) The equation in rectangular coordinates is 2x + 4y + 5z = 1. To write it in spherical coordinates, we use the same conversion formulas as before:

2(ρsinφcosθ) + 4(ρsinφsinθ) + 5(ρcosφ) = 1

Simplifying and dividing by ρ, we get:

2sinφcosθ + 4sinφsinθ + 5cosφ = 1/ρ

This is the equation in spherical coordinates.

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Functions that take a positive integer n as input and return a real number are F(n) = 100n log n and g(n) = n (log n)2. A different algorithm's time complexity is represented by g(n), whereas another algorithm's time complexity is represented by F(n).

As n approaches infinity, F(n) and g(n) both expand as O(n log n), which indicates that the growth rate of the two functions is proportional to n log n as n gets very big. However, because the coefficient 100 in F(n) is smaller than the coefficient 1 in g, it develops more slowly than g(n) (n).

Hence, functions that take a positive integer n as input and return a real number are F(n) = 100n log n and g(n) = n (log n)2.

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Answer:

a=1

b=-1

c=1

value of discriminant =-3

quadratic function will intersect x-axis 0 times

Step-by-step explanation:

Answer:

y = 3.

Step-by-step explanation:

x + 5y = 7

x = 7 - 5y

Substitute x for 7 - 5y in the second equation.

2 ( 7 - 5y ) + 4y = -4

14 - 10y + 4y = -4

14 - 6y = -4

6y = 14 + 4

6y = 18

y = 3.

Hope this helped!

Answer:

y = 3

Step-by-step explanation:

x + 5y = 7

Subtract 5y from both sides;

x = -5y + 7

Substitute x into the equation;

2x + 4y = -4

2(-5y + 7) + 4y = -4

Distribute;

-10y + 14 + 4y = -4

-6y + 14 = -4

Subtract 14 from both sides;

-6y = -18

Divide both sides by -6

y = 3

Substitute y;

x + 5y = 7

x + 5(3) = 7

x + 15 = 7

Subtract 15 from both sides;

x = -8

Answer:

y = 10.50x + 25.50

Step-by-step explanation:

hope this helps :)

Answer:

12 pizzas

Step-by-step explanation:

8x3=24 so if she uses 8 ounces a pizza you multiply 3 (as in the 8 ounces of cheese in a bag) So multiply 3x4 to get 12

In hypothesis testing, the alternative hypothesis is the statement that researchers are trying to evaluate. It is the opposite of the null hypothesis.

What is the alternative hypothesis?

In hypothesis testing, an alternative hypothesis is a statement that is used to determine if there is a statistically significant difference between two sample populations or data sets. It is used to compare the statistical significance of two groups.The alternative hypothesis typically states that there is a difference between the two groups being compared.

For example, a researcher may wish to know if a new drug is more effective than a placebo in treating a specific condition. In this case, the alternative hypothesis would be that the drug is more effective than the placebo.

In hypothesis testing, the null hypothesis and alternative hypothesis are used to determine if there is a statistically significant difference between two groups.

The null hypothesis is the statement that there is no difference between the two groups being compared. The alternative hypothesis is the statement that there is a difference between the two groups being compared.

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Answer:

In hypothesis testing, the alternative hypothesis is a statement that contradicts the null hypothesis. It represents the researcher's belief or suspicion that there is a significant effect, relationship, or difference between groups or variables being studied. The alternative hypothesis is denoted as "H1" or "Ha" and is the hypothesis researchers are trying to gather evidence in favor of, by conducting statistical analysis and evaluating the data.

Step-by-step explanation:

In hypothesis testing, we aim to make informed conclusions about a population based on a sample of data. The process involves two competing hypotheses: the null hypothesis (H0) and the alternative hypothesis (Ha).

The null hypothesis states that there is no significant effect, relationship, or difference between groups or variables in the population. It's often considered the default assumption until evidence suggests otherwise. The alternative hypothesis, on the other hand, proposes that there is a significant effect, relationship, or difference in the population.

In simpler terms, think of it like this:

Researchers collect and analyze data to determine whether there's enough evidence to reject the null hypothesis in favor of the alternative hypothesis. If the data strongly supports the alternative hypothesis, we might conclude that there is a significant effect or difference. If the data doesn't provide enough evidence, we might fail to reject the null hypothesis.

So, the alternative hypothesis is essentially the idea that researchers are trying to prove by conducting their analysis and experiments.

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Answer:

square root of 4761 = 69

Step-by-step explanation:

Answer:

Find the value of the variable and yz if Y is between X and z. = XY = 4n + 3, YZ = 2n - 7, XZ = 22

5.0

0

1

Draw a figure representing the information given.

2

Set the expression for XY plus the expression for YZ equal to the expression for XZ and solve.

3

Combine like terms.

4

Add 4 to both sides.

5

Divide both sides by 6.

6

YZ= 2(13/3)-7=(26/3)-7=(26/3)-(21/3)=5/3

the correct answer is a. likely to be due to true differences between the groups.

If we say we have statistically significant results, it means that the results are likely to be due to true differences between the groups. Statistical significance is a term used in hypothesis testing to determine if the observed differences between groups are likely to be real and not due to chance.

When conducting a statistical analysis, researchers compare the data from different groups or samples to see if there is a significant difference between them. This involves calculating a p-value, which represents the probability of obtaining the observed results if there were no true differences between the groups.

If the p-value is less than a predetermined threshold, typically 0.05, then the results are considered statistically significant. This means that the likelihood of obtaining the observed results by chance alone is very low, and it is more likely that the differences between the groups are due to a real effect.

For example, let's say we conduct a study to compare the effectiveness of two different treatments for a medical condition. If we find that the p-value is less than 0.05, we can conclude that there is a statistically significant difference between the treatments, and the observed improvement in one group is likely to be due to the treatment itself rather than random chance.

In summary, when we say we have statistically significant results, it means that the observed differences between groups are likely to be due to true differences rather than chance. This provides evidence for the presence of a real effect or relationship between the variables being studied.

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The value of the angle X is 99 degrees. Option E

To determine the value of the angle, we need to note that the sum of the interior angles of a given regular polygon is determined with the formula;

(n -2)180

Such that 'n' is the number of sides of the polygon

From the information given, we have that;

The value of n = 6

Then, the sum of interior angles = (6-2)180 = 4(180)

Multiply the values

= 720

Equate the angles

x + 108 + 146 + 101 + 113 + 153 = 720

Add the values

x = 720 - 621

subtract the values

x = 99 degrees

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The additional $132 in overtime is added to Kenny's weekly wage calculation, while Sarah's weekly wage is solely based on the number of hours she worked multiplied by their shared hourly wage of $11 per hour,

The expression that represents the weekly wages of both Kenny and Sarah, given that they have an equal hourly wage of $11 per hour and Kenny made an additional $132 in overtime, can be calculated as follows:

Kenny's weekly wage = (11 * k) + 132

Sarah's weekly wage = 11 * s

Therefore, the expression representing the weekly wages of both Kenny and Sarah is:

(11 * k) + 132 for Kenny

11 * s for Sarah

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Answer:

After Rajesh took 493 stones, you would have 471 stones left.

Step-by-step explanation:

If you started with 964 stones and Rajesh took 493 stones, then you would have 964 - 493 = 471 stones left.

Answer:16.4

Step-by-step explanation: