The time difference, t, in minutes, taken for an object to travel from point A to B and the return journey is given by the equation (t+6) (t-8)=72. By solving the equation (t+6) (t-8)=72, find the time difference t in minutes.​

Answer:

4

Step-by-step explanation:

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let's find the slope of the line :

that is :

taking two points (0 , 4) and (2 , -4)

Slope (m) of the graph = -4

and y - intercept (c) = 4

therefore, the equation will be :

4$ i think not sure tho

Answer:

x3+5=6

  2x + 4 = 10

  9−3x=0

Step-by-step explanation:

Answer:

x3+5=6

2x + 4 = 10

9−3x=0

Step-by-step explanation:

Answer:

its blurry so can't really see the numbers

Answer:

B, C, and E

Step-by-step explanation:

usa test prep, sorry if this isn't useful anymore

Answer: 23.1

Step-by-step explanation:

\(\frac{x}{14}=\frac{33}{20}\\\\x=\frac{(33)(14)}{20}\\\\x=23.1\)

Answer:

160

Step-by-step explanation:

20 x 2 = 40

40 x 2 = 80

80 x 2 = 160

It stops at 3 years.

Answer:

120

Step-by-step explanation:

20+40+60 = 120

If we double it, we have to keep adding 20 each year and stop at 3 so the answer is 120

Answer:

Which one is at the bottom? if the one at the bottom is 0 then the answer is 0. If its not then its related to pemdas or something else

Step-by-step explanation:

Answer:

? = 4

4 is the answer

Step-by-step explanation:

heart = 21

rainbow = 7

unicorn horn = 9

so, we have

heart + rainbow + rainbow = 35

21 + 7 + 7 = 35

heart + unicorn horn + rainbow = 37

21 + 9 + 7 = 37

rainbow + unicorn horn + unicorn horn =25

7 + 9 + 9 = 25

unicorn horn + unicorn horn + rainbow - heart = ?

9 + 9 + 7 - 21 = 4

The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Answer:

Step-by-step explanation:

In my opinion it's 2 apples

Simply take 38 ÷ 4 to get 36 then the two are the remainders

Answer:

He can fill 4 bags(of 8 apples each) and have 6 apples left

Step-by-step explanation

Answer:

Sure, here are the steps on how to simplify 2/3 (3x -2) – ¾ (2x -2):

Multiply the factors in the numerator and denominator of each fraction.

2/3 (3x -2) = (2)(3x -2) / (3)(3) = 6x - 4 / 9

¾ (2x -2) = (3/4)(2x -2) / (3) = 3x - 6 / 12

Subtract the numerators of the two expressions.

6x - 4 / 9 - 3x - 6 / 12 = (6x - 4 - 3x - 6) / (9 * 12) = 3x - 10 / 108

Simplify the fraction by dividing the numerator and denominator by 3.

3x - 10 / 108 = (3x - 10) / (3 * 36) = x - 10 / 36

Therefore, the simplified expression is x - 10 / 36.

Step-by-step explanation:

An example of a function that models a linear relationship between two quantities, x and y is y = mx + b

We need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:

y = mx + b

In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.

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The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

3

Step-by-step explanation:

If x=11 then the top line would equal 11+4, which is 15

If y=3 then the bottom line would equal 3+2, which is 5

So, you end up with 15/5, which equals 3

Answer:

A≈166.28cm²

Step-by-step explanation:

Using the formulas

A=33

2a2

P=6a

A=3P2

24=3·482

24≈166.27688cm²

The important variables are the two types of test questions which can be represented as :

Variables are used to represent unknown values which could be worked out in a mathematical expression or problem.

The variables or unknown in this case are the type of test questions. which are : m for multiple choice, s for short answer

Therefore, the correct option is C. m for multiple choice, s for short answer

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The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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An equation that represents the equation of the line is: B. y = 13x + 41.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

At data point (-3, 2) and a slope of 13, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 2 = 13(x - (-3))

y - 2 = 13(x + 3)

y = 13x + 39 + 2

y = 13x + 41

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Complete Question:

A line passes through the point (-3, 2) and has a slope of 13. Which represents the equation of the line?

A, y = 3x + 41

B. y = 13x + 41

C. y = -13x + 41

D. y = 41x + 13

Answer:

base = 3.75 inches

Step-by-step explanation:

37.5 = 20b/2

37.5 = 10b

b = 3.75

The position of  √17 between 4 and 5, which is nearer 5, and the location of 6, which is between 2 and 3, which is nearer 2.

A visual representation of real numbers in a linear manner is a number line. It is a straight line that is divided into intervals or segments, each of which stands for a distinct real number value.

Number lines can be vertical or horizontally oriented, and they can also have a positive or negative orientation. Positive numbers often extend to the right or up, whereas negative numbers typically extend to the left or down. The origin of the number line, or zero, is typically situated in the middle of the line.

The number line is a crucial tool in mathematics since it offers a means of representing numerical relationships visually and carrying out fundamental arithmetic operations. For instance, positive and negative motions along a number line can be used to depict addition and subtraction, respectively, with positive movements denoting addition and negative movements denoting subtraction. On a number line, multiplication and division can alternatively be shown as repeated addition or subtraction.

If we have a number line with the proper markings, we may indicate where the square roots of 17 and 6 are located as follows:

To begin, determine the approximate square root values:

√17 is between 4 and 5, since 4² = 16 and 5² = 25.

√6 is between 2 and 3, since 2² = 4 and 3² = 9.

Place the number √17 closer to 5, between 4 and 5.

Place the number √6 between the numbers 2 and 3, closer to 2.

Since 6 and 17 are not integers and their values are not evenly spaced, it should be noted that their markings will not be evenly spaced on the number line.

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Number line attached below,

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer: they each get 5 if they had 5 of them

Step-by-step explanation:

EXPLANATION

As we can see on the table, the amount to be refunded is equivalent to the difference between $3,866 and $4,386, so it is $520

I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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Answer: 1.) -24

2.) 96

3.) 8

Step-by-step explanation:

1.) A negative number multiplied times a positive number will automatically equal a negative answer. Ex: (-9) (5) = -45

2.) A negative number multiplied times a negative number will autimatically equal a positive answer. Ex: (-4) (-5) = 20

3.) This is the same as the statement above, but all you're doing this time is dividing. A negative number divided by a negative number will equal a positive number. Ex: -36 ÷ (-9) = 4

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: