Tre's walk from his house to the bus stop is of a mile. He is able to complete the walk each day in of an hour. What is Tre's walking speed, in miles
per hour?

Answer:

x = -12

Step-by-step explanation:

The given equation is

The slope of the given line is 6.

It is important to know that parallel lines have the same slopes, so the slope of the new line is 6.

Now, we use the point-slope formula to find the new line

Let's replace the point (-4,7) and the slope 6.

Answer: 1.5(b)+ 2.25(s) = 10.05

Step-by-step explanation:

Answer:

B & S

Step-by-step explanation:

Answer:

6433.982 ft²

Step-by-step explanation:

\(2\pi(8)(8^2+8 \cdot 8)=256(8\pi) \approx 6433.982\)

Answer:

Train A weighs 156 tons, and Train B weighs 78 tons.

Step-by-step explanation:

Given that two trains, Train A and Train B, weigh a total of 243 tons, and Train A is heavier than Train B, with a difference of their weights of 87 tons, to determine what is the weight of each train, the following calculation has to be done:

(243 - 87) / 2 = B

156/2 = B

78 = B

243 - 87 = A

156 = A

Therefore, Train A weighs 156 tons, and Train B weighs 78 tons.

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer:

D) 48

Step-by-step explanation:

area = length x width x height

8 x 2 x 3

16 x 3 = 48

Answer:

2008 and 2010 is 52 units per year.

Step-by-step explanation:

To find the average rate of change of sales between 2008 and 2010, we need to calculate the change in sales over that period, and divide by the time interval.

The sales in 2008 is f(2008) = 520, and the sales in 2010 is f(2010) = 624. The time interval is 2 years.

Therefore, the change in sales over that period is:

f(2010) - f(2008) = 624 - 520 = 104

The average rate of change of sales between 2008 and 2010 is:

(104) / (2) = 52

So the average rate of change of sales between 2008 and 2010 is 52 units per year.

Answer:

The percentage increase is  21.4% increase

Given Data

Initial temperature =  12 1/4°F = 49/4 = 12.25°F

Final Temperature =  15 3/5°F = 78/5 = 15.6°F

We know that the expression for percentage increase is given as

Percent Increase = Increase/Final *100

Percent Increase = 15.6-12.25/15.6 *100

Percent Increase = 3.35/15.6 *100

Percent Increase = 0.214 *100

Percent Increase = 21.4%

Hence there is a 21.4% increase

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Answer: It would be the second answer that says SSS.

Step-by-step explanation: Side MK and MN are congruen. Side JN and JK are also congruen. Since both triangles share the line MJ, it’s congruent based on the reflexive property.

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

ANSWER and EXPLANATION

To find the compound inequality represented by the phrase, we first have to write the two inequalities in the phrase.

Let x represent the values.

All values less than or equal to -1 is:

All values greater than 1 is:

Therefore, combining them, we have:

That is the compound inequality.

The graph is:

Answer:
a) Provider B would be cheaper
b) \(10m^3\)

Step-by-step explanation:
a) Input 6 into both equations and solve. For Provider A, it would go like this: \(y = 6 + 15\). For Provider B, it would be this: \(y = 2(6) + 5\). The first provider adds up to £21 Pounds ($25.56 USD). The second provider adds up to £17 Pounds ($20.69 USD).

b) All you really need to do is just plug in numbers until both equations contain the same answer. The way I did it was: \(x + 15 = 2x + 5\). If your teacher asks how you got the answer, follow these steps:

\(x+15=2x+5\\x-5=2x-5\\x+10=2x\)

Resizing or changing an object is the process of dilation. Through the use of the specified scale factor, it is a transformation that reduces or enlarges the objects.

P(1,3) → P' (3,9) (3,9)

Q(3,1) → Q' (9,3) (9,3)

R(1,1) → R' (3,3) (3,3).

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By definition of tangent,

tan(θ - x) = sin(θ - x) / cos(θ - x)

Expand the sine and cosine terms using the angle sum identities,

sin(x ± y) = sin(x) cos(y) ± cos(x) sin(y)

cos(x ± y) = cos(x) cos(y) ∓ sin(x) sin(y)

from which we get

tan(θ - x) = (sin(θ) cos(x) - cos(θ) sin(x)) / (cos(θ) cos(x) + sin(θ) sin(x))

Also recall the Pythagorean identity,

cos²(x) + sin²(x) = 1

from which we have two possible values for each of cos(θ) and sin(x):

cos(θ) = ± √(1 - sin²(θ)) = ± 3/5

sin(x) = ± √(1 - cos²(x)) = ± 12/13

Since there are 2 choices each for cos(θ) and sin(x), we'll have 4 possible values of tan(θ - x) :

• cos(θ) = 3/5, sin(x) = 12/13 :

tan(θ - x) = -56/33

• cos(θ) = -3/5, sin(x) = 12/13 :

tan(θ - x) = 16/63

• cos(θ) = 3/5, sin(x) = -12/13 :

tan(θ - x) = -16/63

• cos(θ) = -3/5, sin(x) = -12/13 :

tan(θ - x) = 56/33

Now

cos(ø-x)

sin(ø-x)

So

tan(ø-x)

Answer:

Multiply the divisor and dividend by 10.

Step-by-step explanation:

73.85  / 4.1

We want to divide by a whole number

Multiply the top and bottom by 10

738.5 / 41

Answer:

Multiply the divisor and dividend by 10

Step-by-step explanation:

The given numbers to divide divisor and dividend both has a decimal number.

Dividend = 73.85

Divisor = 4.1

First step is to remove the decimal from divisor by multiplying both the numbers by 10.

73.85 × 10 = 738.5

4.1 × 10 = 41

Now we can divide 738.5 by 41

So the first step would be :

Multiply the divisor and dividend by 10

there are 120 different ways a sequence of 10 coin flips can consist of exactly 3 heads and the rest tails.

To solve this problem, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by the formula n choose k, which is written as C(n,k) or sometimes as nCk.

In this case, we want to choose 3 heads from a set of 10 coin flips. The number of ways to do this is C(10,3) = 120.

Once we have chosen the 3 heads, the remaining 7 flips must all be tails. There is only one way to arrange 7 tails, since they are all the same.

Therefore, the total number of sequences that consist of exactly 3 heads and the rest tails is 120.

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The probability that the sample proportion is between 0.32 and 0.46 is: 0.7118

The parameters given in this sample are:

Population proportion: p = 0.35

Sample size: n = 90

The standard error is calculated as:

Standard error = √(0.35 × 0.65/90) = 0.05

phat = sample proportion

We want to find P(0.32 < phat < 0.46)

use z-statistic = (phat - p)/standard error

z₁ = (0.32 - 0.35)/0.05 = -0.6

z₂ = (0.46 - 0.35)/0.05 = 2.2

Using online p-value between two z-scores calculator, we have:

p = 0.7118

Hence, the probability that the sample proportion is between 0.32 and 0.46 is 0.7118

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The probability that the sample proportion is between 0.32 and 0.46 is: 0.7118

To find the proportion of a given value within a sample, you need to divide the number of occurrences of that value by the total sample size.

In this case, the proportion = 0.35

sample = 90 is not provided.

First, Standard error = √(0.35 * 0.65/90) = 0.05

We want to find P(0.32 < phat < 0.46)

use z-statistic = (phat - p)/standard error

z1 = (0.32 - 0.35)/0.05 = -0.6

z2 = (0.46 - 0.35)/0.05 = 2.2

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To find the distance between points A and B, we can use trigonometry and the given information.

Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.

Using trigonometry, we can use the tangent function to find the value of "d".

tan(72°) = d / 94.4

To solve for "d", we can rearrange the equation:

d = tan(72°) * 94.4

Using a calculator, we can evaluate the expression:

d ≈ 4.345 * 94.4

d ≈ 408.932

Therefore, the distance between points A and B is approximately 408.932 meters.

A salary slip for the month of March 2023 with information given below.

Salary Slip - March 2023

Employee Details:

Name: [Employee Name]

Employee ID: [Employee ID]

Designation: [Employee Designation]

Earnings:

Basic Salary: [Basic Salary]

House Rent Allowance (HRA): [HRA]

Dearness Allowance (DA): [DA]

Incentive: [Incentive]

Total Earnings: [Total Earnings]

Deductions:

Provident Fund (PF): [PF]

Insurance: [Insurance]

Loss of Pay (LOP): [LOP]

Total Deductions: [Total Deductions]

Net Pay: [Net Pay]

Breakdown:

Basic Salary: 50% of CTC (18L) = [Basic Salary]

HRA: 20% of Basic Salary = [HRA]

DA: 12% of Basic Salary = [DA]

Incentive: 75% of target completion = [Incentive]

Total Earnings = Basic Salary + HRA + DA + Incentive = [Total Earnings]

PF: 12% of Basic Salary = [PF]

Insurance: Rs. 2500 = [Insurance]

LOP: [LOP]

Total Deductions = PF + Insurance + LOP = [Total Deductions]

Net Pay = Total Earnings - Total Deductions = [Net Pay]

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EXPLANATION

Given the parallel lines that are cutted by two non-parallel lines, m and n, the supplementary angle to 102 degrees is by the supplementary angles theorem 180-102= 78 degrees.

By the alternate interior angles theorem, the value of x is 78 degrees.

Also, by the corresponding angles theorem, the value of y is 115 degrees.

Answer:

Option 1, 3 and 5 are correct

Step-by-step explanation:

Given

Eggplants = $1.79 each

Apples = $0.59 each,

Bags of spinach = $2.55 each

Cartons of orange juice = $3.89 each

Required

Select three true statements

To do this, we'll check the options one after the other

1. 4 eggplants cost about $0.50 less than 3 bags  of spinach

First, we need to calculate the cost of 4 eggplants

4 Eggplants = 4 * 1 Eggplants

4 Eggplants = 4 * $1.79

4 Eggplants = $7.16

Next, we calculate the cost of 3 bags of Spinach

3 bags of Spinach = 3 * 1 bag of Spinach

3 bags of Spinach = 3 * $2.55

3 bags of Spinach = $7.65

Determine the difference

Difference = |Eggplants - Bags of Spinach|

Difference = |$7.16 - $7.65|

Difference = |-$0.49|

Difference = $0.49

This statement is true because $0.49 approximates to $0.50

2. Total cost of 4 apples and 2 eggplants $0.50 is more than $6.00

First, we need to calculate the cost of 4 apples

4 Apples = 4 * 1 Apples

4 Apples = 4 * $0.59

4 Apples = $2.36

Next, we calculate the cost of 2 Eggplants

2 Eggplants = 2 * 1 Eggplant

2 Eggplants = 2 * $1.79

2 Eggplants = $3.58

Add this two results together

Total = 4 Apples + 2 Eggplants

Total = $2.36 + $3.58

Total = $5.94

This statement is false because the sum is less than $6.00

3. Total cost of 4 eggplants, 4 apples and 1 carton of orange juice is $13.41

In (1) & (2) above

4 Eggplants = $7.16

4 Apples = $2.36

1 carton of orange juice = $3.89

Add the above together

Total = $7.16 + $2.36 + $3.89

Total = $13.41

This statement is true because the sum is $13.41

4. Total cost of 5 eggplants is greater than cost of 4 bags of spinach

First, we need to calculate the cost of 5 eggplants

5 Eggplants = 5 * 1 Eggplants

5 Eggplants = 5 * $1.79

5 Eggplants = $8.95

Next, we calculate the cost of 4 bags of Spinach

4 bags of Spinach = 4 * 1 bag of Spinach

4 bags of Spinach = 4 * $2.55

4 bags of Spinach = $10.20

This statement is false because 4 Eggplants costs less than $ bags of spinach

5. Total cost of 2 eggplants, 2 apples and 2 cartons of orange juice is $9.99 more than cost of 1 bag of spinach

From (2) above

2 Eggplants = $3.58

Next, we need to calculate the cost of 2 apples

2 Apples = 2 * 1 Apples

2 Apples = 2 * $0.59

2 Apples = $1.18

Next, we need to calculate the cost of 2 cartons of orange juice

2 Cartons = 2 * 1 Carton

2 Apples = 2 * $3.89

2 Apples = $7.78

Sum these up

Total = $3.58 + $1.18 + $7.78

Total = $12.54

1 Bag of spinach = $2.55 each

Subtract 1 Bag of spinach from the $12.54

Difference = $12.54 - $2.55

Difference = $9.99

This statement is true because the difference is $9.99

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

Answer:

Step-by-step explanation:

3f(x) stretches the graph of the function by a factor of 3 since it is being multiplied to f(x) and 3 is greater than one.

f(x+3) shifts the graph of the function 3 units to the left since 3 equals h in the equation: f(x-h), so you switch the sign and it becomes negative thus moving left.

f(3x) compresses the graph by a factor of 1/3 since it is inside the parenthesis.

f(x) + 3 shifts the graph of the function up by 3 units since it is being added to f(x).

Answer:

2√2

Step-by-step explanation:

x² + x² = 4²

2x² = 16

x² = 8

x = √8

x = 2√2

Answer:

68

Step-by-step explanation:

That's an intersection, meaning that all 4 sides are equal. So if one is 90⁰, then they are all 90⁰. 90-22= 68

Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.

The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:

15^2 + 17^2 = x^2

Simplifying this equation, we get:

225 + 289 = x^2

514 = x^2

x = sqrt(514)

Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.