Find the equation of the line that passes through the point (6,14) and is parallel to the equation below. Y=4/3X-4

Answer: 20 seconds

Ratio of amount of skills to time is 1:4

Step-by-step explanation:

1 skill is 4 seconds. So for 5 skills it would be 20 seconds

The recursive formula is y = 4x. The time taken to complete the 5 skill tests is 20 seconds.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the x-coordinate is the skills task number, and the y coordinates are the time in seconds. (1,4) (2,8) (3,16) (4,32).

The recursive formula will be written as,

y = 4x

Here, y is time and x is the number of skills. For 5 skills the time taken will be calculated as,

y = 4x

y = ( 4 x 5)

y = 20 sec

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The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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Answer:

175.9

Step-by-step explanation:

Pi * 8(Diameter) * 7(Height) = 175.9291886...

Answer:

x =53.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adjacent side

tan x = 28 /21

Take the inverse tan of each side

tan ^-1 (tan x) = tan ^-1 (28/21)

x = 53.13010235

Rounding to the nearest tenth

x =53.1

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

The Answer Is Point B (2,0)

Step-by-step explanation:

Answer:

A total of 119 Specials were sold today.  Chicken Littles had the highest number sold, which represents about 21% (25/119 * 100) of the total sales and a cost of 24% of the total costs.  This was followed by Huge Burger and Coney Dog which were sold 20 each or about 17% of the number sold.  Poker Burger, Baby Burger, and Yummy trailed behind with total sales of 19, 18, and 17 respectively.

Step-by-step explanation:

a) Data and Calculations:

SPECIAL            NUMBER SOLD  Percentage   COST      Percentage

Huge Burger                20           17%                 $2.95        20%

Baby Burger                 18            15%                 $1.49         10%

Chicken Littles            25           21%                 $3.50         24%

Porker Burger              19            16%                $2.95        20%

Yummy Burger             17            14%                 $1.99         13%

Coney Dog                  20            17%                 $1.99         13%

Total Specials Sold    119          100%               $14.87        100%

Answer: I pretty sure the answer is 92!

Step-by-step explanation:

75% of the test score would be 76 x 0.75 = 57

80-57 = 23

They need 23 more points to get an 80

The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam

answer: 92

Answer: 7

Step-by-step explanation:

Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.

Answer:

The predicted score for the dependent variable will be of 198,454.4.

Step-by-step explanation:

Equation of a regression line:

The equation of a regression line has the following format:

\(y = ax + b\)

In which a is the slope and b is the intercept. x is the independent variable while y is the dependent variable.

A certain regression line equation has the slope equal to 326.07 and an intercept that is equal to 8.19.

So \(y = 326.07x + 8.19\)

What will be the predicted score for the dependent variable if the independent variable is 608.6?

y when x = 608.6. So

\(y = 326.07*608.6 + 8.19 = 198454.4\)

The predicted score for the dependent variable will be of 198,454.4.

Answer:

See below

Step-by-step explanation:

Part A

\(f(g(x))=f(\frac{x}{3})=3(\frac{x}{3})=x\\g(f(x))=g(3x)=\frac{3x}{3}=x\)

Since BOTH \(f(g(x))=x\) and \(g(f(x))=x\), then \(f\) and \(g\) are inverses of each other

Part B

\(f(g(x))=f(\frac{x+1}{2})=2(\frac{x+1}{2})+1=x+1+1=x+2\\g(f(x))=g(2x+1)=\frac{(2x+1)+1}{2}=\frac{2x+2}{2}=x+1\)

Since BOTH \(f(g(x))\neq x\) and \(g(f(x))\neq x\), then \(f\) and \(g\) are NOT inverses of each other

The crime that is often alcohol related is domestic violence. That is option D.

Domestic violence is defined as an abusive relationship that exist between two or more individuals that are closely related by blood or marriage.

The causes of domestic violence include the following:

Therefore, alcohol intake can lead to domestic violence because it can cause the abusive partner to have a reduction in cognitive and physical functions that impair self-control, with the consequent effect of reducing the ability to resolve conflicts nonviolently.

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The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.

To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.

By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).

Slope (m) = (change in y) / (change in x)

= (0 - (-8)) / (4 - 0)

= 8 / 4

= 2

Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.

Using the point (0, -8):

-8 = 2(0) + b

b = -8

Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.

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In this case the answer is very simple. .

Step 01:

Data

total distance = 422 mi

total time = 6 hours

Step 02:

The answer is:

Joshua's speed was 70 mi/hours

Answer:

-4 and 8

Step-by-step explanation:

-4 x 8 = -32

-4 + 8 = 4

The two numbers that multiply to -32 and add up to 4 are -8 and 4.

To find two numbers that multiply to -32 and add up to 4, we can use a factoring approach or trial and error.

Let's consider two numbers, x and y, such that:

xy = -32 (Equation 1)

x + y = 4 (Equation 2)

We need to find values of x and y that satisfy both Equation 1 and Equation 2 simultaneously.

By trying different pairs of numbers, we can find that -8 and 4 satisfy both equations:

-8 * 4 = -32 (Equation 1)

-8 + 4 = 4 (Equation 2)

Therefore, the two numbers that multiply to -32 and add up to 4 are -8 and 4.

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The expression that is a factor of both x² - 9 and x² + 8x + 15 is (x + 3).

Given the polynomials in the question:

x² - 9

x² + 8x + 15

To find a factor that is common to both x² - 9 and x² + 8x + 15, we can factorize the two expressions and look for any common factors.

First, factorize x² - 9:

Using the difference of sqaure formula

a² - b² = ( a + b )( a - b )

x² - 9

x² - 3² = (x - 3)(x + 3)

Next, factorize x² + 8x + 15:

Using AC method

( x + 3 )( x + 5 )

From the factorizations, we can see that both expressions have a common factor of (x + 3).

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Answer:

Rise: 1 units

Run: 2 units

Slope: 1/2

Step-by-step explanation:

You look at two coordinates and figure out how the first coordinate gets to the second coordinate. For example, (3,-5) and (5,-4). You would rise vertically 1 units, then run horizontally 2 units. You would see it draws like a right triangle between the two points.

Slope is then determined Rise / Run = (1)/(2) = 0.5

Given data

*The given polynomial is (732 + 31) - (21.12 - 12)

Simplify the given polynomial as

The given polynomial is a linear monomial. Thus, the correct answer is (D)

Answer:

∡A =41°

~~~~~~~~~~~~

BC=21

~~~~~~~~~~~~~~

sin(24)/AC=sin(41)/21

AC=13

~~~~~~~~~~~~~~

sin(115)/AB=sin(41)/21

AB=29

Step-by-step explanation:

Step-by-step explanation:

√z is defined only when z >= 0

Therefore √x - 1 is defined only when (x - 1) >= 0, x >= 1.

The only graph that shows the domain x >= 1 is graph Y.

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.

These are the specified parameters:

English = 26

Science = 24

Music = 25

English but not science = 17

Science and music = 11

English and music = 14

Took all theree = 4

Lots of students took English and science

Look at the venn diagram in the attachment.

26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135

x + 92 = 135

x = 135 - 92

x = 43

Lots of students took English and science, but not music

= x - 4

= 43 - 4

= 39

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Answer:

17 1/3

Step-by-step explanation:

You take 21 2/3 divided by 1 14 to get 17.33 and that is 17 1/3

Answer: So there is only 1 possible outcome when choosing 8 candidates out of a pool of 8, which is simply selecting all 8 candidates.

Step-by-step explanation: Assuming that the order of the candidates does not matter, the number of possible outcomes can be calculated by finding the number of ways to choose a group of 8 candidates out of a total of 8.

This can be represented by the combination formula:

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

where n is the total number of candidates and r is the number of candidates to be chosen.

In this case, we have:

n = 8 (total number of candidates)

r = 8 (number of candidates to be chosen)

Therefore, the number of possible outcomes is:

8C8 = 8! / (8! * (8-8)!) = 1

So there is only 1 possible outcome when choosing 8 candidates out of a pool of 8, which is simply selecting all 8 candidates.

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Answer:

Exponential

Step-by-step explanation:

Starter:

According to the title:

"Every day, half a bacteria population dies."

Exponential: y = ab^x ( b > 0 , b ≠ 1)

So the answer is C.

Calculations:

An exponential model is of the form y = a • b^t.

If you start with population of 500 million bacteria

t = 0

so 500 million = a • b^0 = a

Since every day half the population dies then in 1 day population will be 250 million

so a = 500 million, y = 250 million and t = 1

250 million = 500 million • b^1

b = 0.5

Therefore your equation would be

y = 500 million (or whatever the pop) • 0.5^t

Where t = number of days

This could also be written in exponential form ( e = 2.73)

This is the question.

At the start of the first down, the football was 25 yards from the Captains' end zone. During three downs, the ball moved 6 yards closer to their end zone, then 10 yards farther from it, and then 8 yards closer to it. How many yards from their end. zone was the ball at the end of the third down?