A line through which two points would be parallel to a line with slope of 3/4? show your Work.

Answer: The expression in simplified form is D. 3x³√15

To simplify the expression, we can first simplify the fractions.

2/1356 can be simplified to 12/225.

Then, we can use the distributive property to simplify the expression further.

12/225 - 3√156 = 12/225 - 18√15

The last step is to combine the terms,

12/225 - 18√15 = (-6/75) - (6√15) = -6/5 * (1/5 - √15) = -6 * (- √15/5) = 3 * √15 * 6

Therefore, the simplified form of the expression is D. 3x³√15

Step-by-step explanation:

$52 hundred is introduced to the December 31, 20Y6.

A proportion is a unit of fairness possession in the capital inventory of a corporation, and may discuss with devices of mutual funds, restrained partnerships, and actual property funding trusts. Share capital refers to all the stocks of an enterprise. The proprietor of stocks in a employer is a shareholder (or stockholder) of the corporation.

Note that proportion is an indivisible unit of capital, expressing the possession dating among the employer and the shareholder.

Given that bond indenture for the 10-year, 9% debenture bonds issued January 2, 20Y5, required working capital of $100,000, a current ratio of 1.5, and a quick ratio of 1.0 at the end of each calendar year until the bonds mature.

The profits acquired from the possession of stocks is a dividend. There are extraordinary varieties of stocks consisting of fairness stocks, bonus stocks, proper stocks, and worker inventory choice plan stocks.

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Step-by-step explanation:

35% of 19.99 is 6.99. so subtract 6.99 from 19.99

19.99-6.99= 13.00

Answer:

the answer is 150

Step-by-step explanation:

you will do cross multiplication where 3 will multiply 50 and 15 will multiply 10. u will get 150=150

Answer:

48

Step-by-step explanation:

Remark

Use a^2 + b^2 = c^2 to solve for the height.

Givens

c = 10

b = 6

h = ?

Solution

b^2 + h^2 = c^2

6^2 + h^2 = 10^2

36 + h^2 = 100            Subtract 36

h^2 = 100 - 36

h^2 = 64                      Take the square root of both sides

sqrt(h^2) = sqrt(64)

h = 8

The height = 8

Area = 1/2 * b * h

Area = 1/2 *12 * 8

Area = 48

Comment

You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12

The required value f x for given adjacent angles is 7.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to an end. When adjacent angles have a same vertex and side, they can be a complimentary angle or supplemental angle.

The sum of the measures of the two adjacent angles is given as 135. Therefore, we can write an equation as:

(2x+45) + (3x+55) = 135

Simplifying and solving for x:

5x + 100 = 135

5x = 35

x = 7

Therefore, the value of x is 7.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Step-by-step explanation:

3p + 7q = 55

7p + 7q = 91

(-)

-4p=-36

p=9

q=4

Answer:

p = 9 and q = 4

Step-by-step explanation:

3p + 7q = 55 -- (1)

7p + 7q = 91 -- (2)

(2) - (1) : 4p = 36

               p = 9 -- (3)

Substituting (3) into (1),

27 + 7q = 55

7q = 28

q = 4 -- (4)

Therefore, p = 9 and q = 4

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Answer:

In a rectangle ABCD of 3 mx 4 m, starting from A and D, along the sides AB and DC after every 30 cm, a square shape of 10 cm is taken out as shown below. What will be the perimeter (in cm)

Step-by-step explanation:

12 CM And 300 CM is the answer

Answer:

240 yd²

Step-by-step explanation:

I assume you’re looking for area?

24x8=192

1/2x12x8=48

192+48= 240 yd²

Answer:

32/45

Step-by-step explanation:

2/3 : 3/2 : 5/8

Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

2/3 * 2/3 * 8/5

Now simplify:

32/45

32 and 45 have no common factor, hence the final answer is 32/45

Answer:

32/45

Step-by-step explanation:

2/3 : 3/2 : 5/8.

Remember, a ration and a fraction are both division. Therefore you can rewrite the problem like so:

2/3 ÷ 3/2 ÷ 5/8

Dividing fractions is the same as multiplying them by the reciprocal.

2/3 * 2/3 * 8/5

Now simplify:

32/45

32 and 45 have no common factor, hence the final answer is 32/45

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Answer:

B. Positive linear

Step-by-step explanation:

First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive

Answer:b

Step-by-step explanation:

trust it’s b

1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.

2. The difference in the distance of Neptune from the sun than Mars will be

3. The greatest distance between Earth and Uranus is Uranus.

4. The greatest distance between Venus and Saturn is Saturn

From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:

= 5.203 - 0.387

= 4.816

The difference in the distance of Jupiter from the sun than Mars will be:

= 30.07 - 1.524

= 28.546

The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.

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Answer:

2007

Step-by-step explanation:

If the number of visitors was, say, 100 people in 2003, then in 2005 that number would have gone up to 300 people, which is a 200% increase. And that number would have gone up to 900 people in 2007, which is an 800% increase.

Answer:

2007

NOT YOU TRYING TO GET THE AOPS PREALGEBRA 2 ANSWER

I stan though :D

Given that

Given that AB = 12, BC =18, AC =24 and RS =16, RT=x

We now use the ratio of the corresponding sides to find side RT( the value of x).

Hence,

Therefore, the value of x (RT) is 32

The total number of college students running the part-time program is 10,882,353 student.

We will derived the total number of college students in the part-time program by dividing the Number of student by the percentage. We are given that percentage of part time students is 34% and number of part time students = 3.7 million.

Let x be the total number of students

34% of x = 3,700,000

34/100*x = 3,700,000

0.34*x = 3,700,000

x = 3,700,000 / 0.34

x =  10882352.9412

x = 10,882,353 student. Therefore, the total number of college students was 10.9 million.

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the data shows a positive linear association between the number of hours worked and tips earned. (option A)

To determine the statement that best fit the scatter plot, we study the trend:

As the time worked in hours increased, the tips earned increased.

A positive linear association shows increase in the y axis as the x axis increases

A negative linear association shows a decrease in y axis as the x axis increases

From the above, we see the x increases ( time worked in hours) as y increases ( tips earned)

Hence, the data shows a positive linear association between the number of hours worked and tips earned.

Answer: in the third draw 33.33% people eliminated.

Step-by-step explanation:

Answer:

1000

Step-by-step explanation:

Answer:

12, 1

Step-by-step explanation:

12- 6(1)=

12-6= 6

Step-by-step explanation:

Given the function

f(x, y) = 5 + x ln(xy − 9) at the point (5, 2)

For the function to be differentiable at the given point, the differential of the function with respect to x and y must be continuous at the point.

Fx is the differential of the function with respect to x.

Using product rule to get f(x):

fx = 0 + x(1/(xy-9)y) + ln(xy-9)

fx = xy(1/(xy-9)) + ln(xy-9)

Substitute point (5, 2) into fx

fx = 5(2)(1/5(2)-9) + ln(5(2)-9)

fx = 10(1/(10-9)) + ln(10-9)

fx = 10(1/1) + ln1

fx = 10 + 0

fx = 10

For fy:

fy = 0 + x²(1/(xy-9))+ 0

fy = x²(1/(xy-9))

Substitute point (5, 2) into fy

fy = 5²(1/(5(2)-9))

fy = 25(1/10-9)

fy = 25(1/1)

fy = 25

Next is to calculate f(5,2)

f(5,2) = 5 + 5 ln(2(5) − 9)

f(5,2) = 5 + 5 ln(10− 9)

f(5,2) = 5 + 5 ln1

f(5,2) = 5 + 5(0)

f(5,2) = 5

Since fx ≠ fy, hence the function is not differentiable at the given point

The number of days took to get the video of Felipe 1024 views is 4.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The relationship between the elapsed time in days, d, since the video was uploaded and the total number of views, v, that the video received is modeled by the equation,

v = 4^(1.25d)

We have to find d when v = 1024

1024 = 4^(1.25d)

We have the rule for exponents aᵇⁿ = (aᵇ)ⁿ

1024 = \((4^{1.25} )^d\)

1024 = (5.6569)^d

Taking logarithms on both sides,

㏒ (1024) = ㏒ [(5.6569)^d]

We have the exponent rule for logarithm, ㏒ (aᵇ) = b ㏒ (a)

㏒ (1024) = d ㏒ (5.6569)

d = ㏒ (1024) / ㏒ (5.6569)

d = 4

Hence it took 4 days to for Felipe's video to get 1024 views.

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The value of side length x (DF) in the triangle is 4.

The figures in the image is that of two similar triangle.

Triangle ABC is similar to triangle DEF.

From the diagram:

Leg 1 of the smaller triangle DE = 5

Leg 2 of the smaller triangle DF = x

Leg 1 of the larger triangle AB = 30

Leg 2 of the larger triangle AC = 24

To find the value of x, we take the ratio of the sides of the two triangle since they similar:

Hence:

Leg DE : Leg DF = Leg AB : Leg AC

Plug in the values:

5 : x = 30 : 24

5/x = 30/24

Cross multiplying, we get:

30x = 5 × 24

30x = 120

x = 120/30

x = 4

Therefore, the value of x is 4.

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Answer:

102

Step-by-step explanation:

hope this helps

Answer:

2+24+40+39-(33-30)

105-33+30

135-33

132

The domain of the rational function h(x) = (x - 3)/(x² - 4) is equal to (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞).

The possible points that would lie on h(x) = x² - x + 1 are (3, 7).

True: (1, -1) is a point of the graph of f(x) = -2(x + 1)² + 7.

In Mathematics, a domain is the set of all real numbers for which a particular function is defined.

From the graph of h(x) = (x - 3)/(x² - 4), the domain in interval notation and set builder notation is as follows;

Domain = (-∞, -2)  ∪ (-2, 2) ∪ (2, ∞)

Domain = {x|x ≠ 2, -2}.

Next, we would determine possible x-value for the given quadratic function as follows;

h(x) = x² - x + 1

7 = x² - x + 1

7 - 1 = x² - x

6 = x² - x

x² - x - 6 = 0.

x² - 3x + 2x - 6 = 0.

x(x - 3) + 2(x - 3) = 0

(x + 2)(x - 3) = 0

x = 3 or x = -2.

For second quadratic function f(x) = -2(x + 1)² + 7, we have:

f(x) = -2(x + 1)² + 7

-1 = -2(1 + 1)² + 7

-1 = -2(2)² + 7

-1 = -8 + 7

-1 = -1 (True).

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Answer:

the answer is (C) 2(1-2x)=x-3

Answer:

a. 0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football

b. 0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. 0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football

d. 1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Step-by-step explanation:

For each household, there are only two possible outcomes. Either it is tuned to Sunday Night Football, or it is not. The probability of a household being tuned to Sunday Night Football is independent of any other household. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

22% are turned to that game

This means that \(p = 0.22\)

Sample of 20 households:

This means that \(n = 20\)

a. Find the probability that none of the households are turned to nbc Sunday night football:

This is P(X = 0). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007\)

0.007 = 0.7% probability that none of the households are turned to nbc Sunday night football.

b. Find the probability that at least one of the households is turned to nbc Sunday night football.

This is:

\(P(X \geq 1) = 1 - P(X = 0)\)

Since P(X = 0) = 0.007

\(P(X \geq 1) = 1 - P(X = 0) = 1 - 0.007 = 0.993\)

0.993 = 99.3% probability that at least one of the households is turned to nbc Sunday night football.

c. Find the probability that at most one of the households is turned to nbc Sunday night football (3 digits)

This is

\(P(X \leq 1) = P(X = 0) + P(X = 1)\). So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{20,0}.(0.22)^{0}.(0.78)^{20} = 0.007\)

\(P(X = 1) = C_{20,1}.(0.22)^{1}.(0.78)^{19} = 0.039\)

\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.007 + 0.039 = 0.046\)

0.046 = 4.6% probability that at most one of the households is turned to nbc Sunday night football.

d. If at most one household is turned to nbc Sunday night football, does it appear that the 22% share value is wrong? Why or why not?

A measure is considered unusually low if it is more than two and a half standard deviations below the mean.

The mean is:

\(E(X) = np = 20*0.22 = 4.4\)

The standard deviation is:

\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.22*0.78} = 1.8526\)

4.4 - 2.5*1.8526 = -0.2.

1 is less than 2.5 standard deviations below the mean, so having at most one people watching shouldn't be considered an unusual outcome, which means that the 22% share values does not appear wrong.

Buying a car for $2,500 in 1960 would be like buying a car for $539.23 in 2004 dollars .we can solve by using formula by substituting all details along with consumer price index

what is consumer price index ?

The Consumer Price Index (CPI) is a measure of the average change over time in the prices paid by urban consumers for a basket of goods and services. The CPI is often used as an indicator of inflation

In the given question,

To compare the dollar amounts over time, we can use the formula V = (A/S) x (C/C'), where:

V = the current value of the old dollar amount

A = the old dollar amount ($2,500 in this case)

S = the starting year's consumer price index (CPI) for the old dollar amount (1960 CPI)

C = the converting year's CPI (2004 CPI)

C' = the starting year's CPI for the converting year (1960 CPI)

Using the formula, we can calculate the current value of $2,500 in 1960 dollars as:

V = (A/S) x (C/C')

V = (2,500/29.6) x (188.9/29.6)

V = 84.46 x 6.380

V = $539.23

Therefore, buying a car for $2,500 in 1960 would be like buying a car for $539.23 in 2004 dollars.

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