Ok, what is..

2(5+9)=_____.

The volume of the given triangular prism is 315 cm³.

The volume of a triangular prism, we need to multiply the base area of the triangular base by the height of the prism.

The triangular base has a base length of 5 cm and a height of 7 cm, and the height of the prism is 9 cm.

Calculate the area of the triangular base.

The area of a triangle can be calculated using the formula:

Area = (base length × height) / 2

Plugging in the values, we have:

Area = (5 cm × 7 cm) / 2

Area = 35 cm²

Calculate the volume of the prism.

The volume of a prism can be calculated by multiplying the base area by the height of the prism.

Volume = Base area × Height

Volume = 35 cm² × 9 cm

Volume = 315 cm³

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Answer:

bro COME ON .

its 11 . how do you not know ?

Step-by-step explanation:

you have to add the 1 and 1 together

125 = 5³, and the given expression reduces to

\(\left(\sqrt{125}\right)^{\frac13}\cdot\left(\sqrt[3]{125}\right)^{\frac12}=\left(125^{\frac12}\right)^{\frac13}\cdot\left(125^{\frac13}\right)^{\frac12}=125^{\frac16}\cdot125^{\frac16}=125^{\frac13}\)

so it has a value of 5.

Now:

• the first choice is equivalent, since 625 = 25², so

\(\dfrac{\sqrt[3]{625}}{5^{\frac13}}=\dfrac{25^{\frac23}}{5^{\frac13}}=\dfrac{5^{\frac43}}{5^{\frac13}}=5\)

• the second choice is not equivalent, since

\(5 \cdot 25^{\frac13} = 5 \cdot 5^{\frac23} = 5^{\frac43}\)

• the third choice is also equivalent, since

\(\dfrac{\left(\sqrt[4]{5}\right)^7}{125^{\frac14}}=\dfrac{5^{\frac74}}{5^{\frac34}}=5\)

• the fourth choice is also equivalent, since

\(\dfrac{5^{\frac12}\cdot25^{\frac13}}{\sqrt[6]{5}}=\dfrac{5^{\frac12}\cdot5^{\frac23}}{5^{\frac16}}=\dfrac{5^{\frac76}}{5^{\frac16}}=5\)

You work an average of 39 1/8 hours per week.

The given can be used to calculate the average.

(36 3/8 + 41 1/4 + 40 1/2 + 38 3/8) / 4 =

36 + 41 + 40 + 38 = 155

3/8 + 1/4 + 1/2 + 3/8 = 3/8 + 2/8 + 4/8 + 3/8 = 12/8 = 1 1/2

155 + 1 1/2 = 156 1/2

(156 1/2) / 4 =

313/2 * 1/4 = 313/8 = 39 1/8

average weekly hours are 39 1/8.

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Since no specific measurements or dimensions are provided for the patio, it is not possible to determine the exact square footage of landscaping around the patio.  

More information, such as the dimensions of the patio or the intended design of the landscaping, would be needed to calculate the square footage accurately. The square footage of landscaping around a patio typically depends on various factors, including the size of the patio, the desired layout, and the types of plants or features being used. It is common to include a border or perimeter of landscaping around the patio, which may consist of trees, shrubs, flower beds, or other decorative elements. To determine the square footage of landscaping around the patio, you would need to measure the dimensions of the patio area and consider the desired design. This would involve calculating the area of the patio itself and then determining the additional area needed for the landscaping features surrounding it.

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Answer:

Slope intercept form : y=x-1

Point slope form : y+5=1(x+3)

Answer:

-120 feet

Step-by-step explanation:

Evi's is -15 feet, and Mateo's is 8 times that, so you multiply -15 by 8, and get -120 feet

To test the hypothesis that population 1 has a mean that is exactly 2 less than the mean of population 2, we can use a two-sample t-test with unequal variances.

The test statistic for this hypothesis is given by:
t = (x1 - x2 - d) / sqrt[(s1^2/n1) + (s2^2/n2)]
where x1 and x2 are the sample means, s1 and s2 are the respective standard deviations, n1 and n2 are the sample sizes, and d is the hypothesized difference in means (in this case, d = 2).
Substituting the given values, we get:
t = (34.5 - 30 - 2) / sqrt[(5^2/33) + (9^2/42)]
t = 2.5 / 1.747
t = 1.43 (rounded to two decimal places)
Therefore, the test statistic for this hypothesis is 1.43.

You want to test the hypothesis that the mean of population 1 is exactly 2 less than the mean of population 2. Given that sample 1 has a mean of 34.5 and sample 2 has a mean of 30, the respective standard deviations are 5 and 9, and the sample sizes are 33 and 42. To find the test statistic, follow these steps:
1. State the null hypothesis (H0) and the alternative hypothesis (H1):
  H0: μ1 - μ2 = 2
  H1: μ1 - μ2 ≠ 2
2. Calculate the difference in sample means (M1 - M2):
  34.5 - 30 = 4.5
3. Calculate the standard error of the difference in means:
  SE = √[(s1²/n1) + (s2²/n2)] = √[(5²/33) + (9²/42)] = √[(25/33) + (81/42)] ≈ 1.595
4. Calculate the test statistic (t):
  t = (M1 - M2 - D) / SE = (4.5 - 2) / 1.595 ≈ 1.568
The test statistic for this hypothesis test is approximately 1.568.

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Simple interest analysis reveals that

a) The installment was $321.53 per month.

b) The total amount of the payments is $11,575.

c) Interest was paid of $1,575.

After t years, the amount of simple interest is calculated using:

A(t) = p(1 + rt)

that where:

The initial deposit is known as the primary, or P.

The interest rate in decimal form is r.

In this issue:

Hence, a $10,000 loan.

APR of 5.25%, which equals 3 years, therefore

Item c:

The result is A(3), so:

A(t) = P( 1 + rt)

A(3) = 10000[ 1 + 0.0525(3)]

A(3) = 11575

The total amount of the monthly installments is $11,575.

Item d:

I = A(3)  - P = 11575 - 10000 = 1575

When interest is calculated, the principal is removed, so:

Interest was paid of $1,575.

Item b:

36 payments were made over a period of 3 years, or 3 x 12 months.

Item a:

11575/3 = 321.53

The amount due each month was $321.53.

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Answer:

x=-2+2y

x=−7/5 +9y/5

Step-by-step explanation:

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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(a)The median salary of the 20 data's is 48 (b)The mean salary of the 20 data's is 47.65 which is less than the median due to which the histogram is slightly skewed towards right

(c)The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

(d) The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

The median value of a data set is the value at which 50% of the data points have values lower than it or equal to it and 50% of the points have values higher than it or equal to it. The median is the value that separates the upper from the lower half of a population, a probability distribution, or a sample of data. For a data collection, it may be referred to as "the middle" value.

In mathematics, particularly in statistics, there are a variety of mean types. Each mean aids in the summary of a particular set of data, frequently serving to assess the overall importance of a given data set.

The interquartile range includes the second and third quartiles, or the middle half of your data set (IQR). The range gives the spread of the full data set, whereas the interquartile range gives the range of the middle half of the data set.

The set of salary (data) :

28, 31, 34, 35, 37, 41, 42, 42, 42, 47, 49, 51, 52, 52, 60, 61, 67, 72, 75, 77.

Since there are 20 datas (even) the median will be the average of the 2 centre data = (47+49)/2 = 48

The mean of the data set = (28+ 31+ 34+ 35+ 37+ 41+ 42+ 42+ 42+ 47+ 49+ 51+ 52+ 52+ 60+ 61+ 67+ 72+ 75+ 77)/20 = 953/20 = 47.65

The first quartile of the 20 salary will be the first 5 datas = (28, 31, 34, 35, 37)

The interquartile range of the 20 salaries will be the lenght of 2nd and 3rd quartile combined = 5 + 5 = 10 from 6th term to 15th term.

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Answer:

Step-by-step explanation

Given

Total number of pages to complete the packet = 6400 pages

If each ream contains 500pages, then:

Total number of reams needed = Total pages/number of pages per ream

Total number of reams needed = 6400/500

Total number of reams needed = 12.8

Hence you will need about 13 reams for all the packets

Answer:

x=33

Step-by-step explanation:

x for ?

sinx=opposite/hypotenuse

sinx=162.5/298=0.54530201

convert to degrees using arcsin(0.54530201)= 33.043

33 degrees rounded to the nearest ones

Answer:

C

Step-by-step explanation:

Answer:

3.75

Step-by-step explanation:

21/8/7/2

=4/5*5

=3.75

Answer: y= 40x-10 , where = number of lawns.

Step-by-step explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e.  y-intercept = -10  [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.

Answer:

A

Step-by-step explanation:

Answer:

To find the smallest integer value that the frequency density axis needs to reach, we need to first calculate the frequency density for each class interval. The frequency density is calculated by dividing the frequency of each interval by its corresponding class width.

The class widths are:

14 - 0 = 14

18 - 14 = 4

20 - 18 = 2

25 - 20 = 5

40 - 25 = 15

The frequency densities are:

21 / 14 = 1.5

28 / 4 = 7

17 / 2 = 8.5

22 / 5 = 4.4

33 / 15 = 2.2

To plot all of the data, we need to find the maximum frequency density and round it up to the nearest integer. In this case, the maximum frequency density is 8.5, so we need to round it up to 9. Therefore, the smallest integer value that the frequency density axis needs to reach is 9.

The property that should be used to continue simplifying the above equation is A-^1A = 1. So, correct option is C.

We can start with the equation AB = AC and multiply both sides by A^-1 on the left:

A^-1(AB) = A^-1(AC)

Using the associative property of matrix multiplication, we can simplify the left-hand side:

(A^-1A)B = (A^-1A)C

Using the fact that A^-1A = I (the identity matrix), we get:

IB = IC

Simplifying further using the fact that I times any matrix is that matrix itself, we obtain:

B = C

Therefore, the equivalent equation to AB = AC using A^-1 that simplifies to B = C is A^-1(AB) = A^-1(AC), and the property used to continue simplifying the equation is A^-1A = I.

The correct option is (C) A^-1A = 1, which is equivalent to A^-1A = I, since the identity matrix is denoted as 1 in some contexts.

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To see statistics by category you would use an aggregate query or a group by query.

To see statistics by category, you would typically use an aggregate query or a group by query.

These types of queries allow you to group data based on a specific category and calculate statistics or summaries for each category.

In SQL, you can use the GROUP BY clause to group data based on a specific column or columns. You can then use aggregate functions like COUNT, SUM, AVG, MAX, MIN, etc., to calculate statistics for each category.

Depending on the specific database management system or programming language you are using, the syntax may vary slightly, but the concept of using an aggregate or group by query remains the same.

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Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

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The p-value is 0.0064

Given that a random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. Let us first understand the t-test(a2:a31, b2:b31, 2, 3) formula:

t-test stands for student's t-test.

a2:a31 is the first range or dataset.

b2:b31 is the second range or dataset.

2 represents the type of test (i.e., two-sample equal variance).

3 represents the type of t-test (i.e., two-tailed).

Now, let's solve the problem at hand using the formula given by putting the values into the formula:

P-value = 0.0064

The p-value calculated using the t.test(a2:a31, b2:b31, 2, 3) formula is 0.0064.

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Answer:

$379.75

Step-by-step explanation:

First multiply 350•8.5%=29.75

then add 350+29.75=379.75

Answer:

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Step-by-step explanation:

A parallelogram with a base of 6 inches and height of 3 inches. A side has a length of 5 inches.

Aubrey is correct because the area of the new parallelogram is 12 (6) = 72 square inches. The original area is 18 square inches. Since 4 (18) = 72, the new parallelogram has 4 times the area of the original.

Aubrey is correct because the area of the new parallelogram is 10 (7) = 70 square inches. The original area is 18 square inches. Since 4 (18) = 72, it is about 4 times larger than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 18 square inches so the new parallelogram will have an area of 2 (18) = 36, or two times more than the original.

Aubrey is incorrect because if one doubles each dimension, then the area will automatically be doubled as well. The original area is 30 square inches so the new parallelogram will have an area of 2 (30) = 60, or 2 times more than the original.

Workings

Area of a parallelogram=base×height

Original parallelogram

Base=6 inches

Height=3 inches

Area=base×height

=6×3

=18 square inches

New parallelogram with doubled dimensions

Base=6 inches doubled=12 inches

Height=3 inches doubled=6 inches

Area=base×height

=12×6

=72 square inches

New area=4 times original area

New area=4×18

New area=72 square inches

Answer:
the answer is A

Step-by-step explanation:

i wan to make this easy and fast

A frequency distribution and find the relative frequencies for the given number set is:

Number    frequency         relative frequency

  10                  2                    2/24 = 8.3%

  20                 2                    2/24 = 8.3%

  30                 4                    4/24 = 16.7%

 40                  2                    2/24 = 8.3%

 50                  3                    3/24 = 12.5%

 60                  5                    5/24 = 20.8%

 70                  3                    3/24 = 12.5%

 80                  1                    1/24 = 4.2%

 90                  2                    2/24 = 8.3%

In this question, we need to make a frequency distribution and find the relative frequencies for the given number set.

Number   frequency         relative frequency

  10                  2                    2/24 = 8.3%

  20                 2                    2/24 = 8.3%

  30                  4                    4/24 = 16.7%

 40                  2                    2/24 = 8.3%

 50                  3                    3/24 = 12.5%

 60                  5                    5/24 = 20.8%

 70                  3                    3/24 = 12.5%

 80                  1                    1/24 = 4.2%

 90                  2                    2/24 = 8.3%

Total :           24

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Answer:

D

Step-by-step explanation:

Domain & Range is just x and y.

the function includes x values between & including -2 and 2, while y includes 3, and -3

To find the equation of the exponential function represented by the table, we need to observe the relationship between x and y values.

Given the table: x: 0, 1, 1, 3, 2, 9, 3, 27,  y: 1, 1, 3, 9, 9, 27, 27, 81. From the table, we can see that the y-values are obtained by raising the corresponding x-values to a certain power. Specifically, the y-values are equal to 3 raised to the power of the x-values. Therefore, the equation of the exponential function is: y = 3^x.

This equation represents an exponential function where the base is 3. It shows that as the x-values increase, the y-values grow exponentially by repeatedly multiplying by 3. This exponential relationship is consistent with the values in the given table.

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The specific numerical solution will depend on the number of firms in the market and their behavior.

In a Stackelberg version of monopolistic competition, there is a leader firm that sets its output first, and all the other firms in the market act as followers and choose their outputs simultaneously.

Suppose there are "n" firms in the market, with the first firm denoted as the leader. Let's assume that each firm has a constant marginal cost of $10 per unit. Then, the leader firm's profit-maximizing output level can be found by solving the following problem:

max (30-Q1-Q2-...-Qn)Q1 - 10Q1

subject to Q1 >= 0

where Q1 is the output level of the leader firm, and Q2, Q3, ..., Qn are the output levels of the follower firms.

Taking the first-order condition by differentiating with respect to Q1 and setting it equal to zero, we get:

d/dQ1 [(30-Q1-Q2-...-Qn)Q1 - 10Q1] = 0

Simplifying this expression, we get:

30 - Q1 - Q2 - ... - Qn - 2Q1 = 0

Solving for Q1, we get:

Q1 = (30 - Q2 - ... - Qn)/3

This equation gives us the leader firm's profit-maximizing output level as a function of the follower firms' output levels.

Now, let's consider the follower firms' profit-maximizing output levels. Since each follower firm is a price-taker, its profit-maximizing output level can be found by equating marginal cost to market price, which is equal to the market demand curve divided by the total quantity produced by all firms in the market. Therefore, the profit-maximizing output level of the jth follower firm can be expressed as:

Qj* = (1/n) * (30 - Q1 - Q2 - ... - Qj-1 - Qj+1 - ... - Qn - 10)

where Qj* is the follower firm's profit-maximizing output level, and j = 2, 3, ..., n.

Using these expressions for the leader and follower firms' profit-maximizing output levels, we can solve for the equilibrium outputs and profits in the Stackelberg version of monopolistic competition. However, the specific numerical solution will depend on the number of firms in the market and their behavior.

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Answer:

The average change in elevation per minute is 3.8 ft per minute

Step-by-step explanation:

Here. we want to calculate the average change in elevation per minute

To calculate this, we simply need to divide the total descent over the total number of minutes

Mathematically, that would be;

46.36 feet / 12.2 minutes = 3.8 feet per minute