Select whether the pair of lines is parallel, perpendicular, or neither. y−4=3(x+5), y+3=−13(x+1)

The costs as being relevant to Mrs. Ojeda's decision are Rent of display space 900.000 advertisement 3000 and irrelevant costs are commission,

We should know that the cost that differs from other costs in terms of alternative decision is called relevant cost, the irrelevant cost does not change as the result of a management decision.

Sales commission by brand 1.00    ........ Irrelevant to number of boxes

Rent of display space =900.000 ............ Relevant to number of boxes

Advertising cost = 3,000.00........................ Relevant to number of boxes

Cost per unit = 6.00 .................................. irrelevant to number of boxes

cost per unit of $4.00 ...................... Relevant to number of boxes

Fixed cost include the following

Rent of display  900.000

Variable costs are

Sales commission    1.00

Advertisement      2000

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The required sum of the series sum from n equals 1 to infinity is -9/5

geometric series, in science, a  infinite series of the structure a + ar + ar^2 + ar^3+⋯, where r is known as the common ratio. A basic model is the mathematical series for a = 1 and r = 1/2, or 1 + 1/2 + 1/4 + 1/8 +⋯, which joins to an amount of 2 (or 1 on the off chance that the initial term is barred).

We have,

GP; -3(3/8), -3(3/8)^2,................ -3(3/8)^∞

Common ratio(r) = 3/8, a = -9/8

S(1 to ∞) = a/(1 - r)

S(1 to ∞) = -9/8(1 - 3/8)

S(1 to ∞) = -9/8/5/8

S(1 to ∞) = -9/5

Thus, sum of geometric series is -9/5.

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Answer:

B

Step-by-step explanation:

x² + 3x + 3 = 4 ( subtract 3 from both sides )

x² + 3x = 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2( [tex]\frac{3}{2}[/tex] )x + ([tex]\frac{3}{2}[/tex] )² = 1 + ( [tex]\frac{3}{2}[/tex] )²

(x + [tex]\frac{3}{2}[/tex] )² + [tex]\frac{9}{4}[/tex] = 1 + [tex]\frac{9}{4}[/tex]

that is [tex]\frac{9}{4}[/tex] is added to both sides

The city that had the greatest change in the recorded temperature is; 115°F

We are given the following as the table showing the lowest and highest recorded temperatures for three cities

                            City:  Barrow  Budapest  Prague

Highest Temperature:     73         103           98    

Lowest Temperature:     -42        -10            -16    

The temperatures are given in Fahrenheit.

We have to find the cities with difference between their highest and lowest temperatures .

Change in temperature for the city of barrow = (73 - (42)) = 115°F

Change in temperature for the city of Budapest = (103 - (-10)) = 113°F

Change in temperature for the city of Prague = (98 - (-16)) = 114°F

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Complete question is;

The table gives the highest and lowest recorded temperatures for six cities. Which cities recorded a difference between their highest and lowest temperatures that is greater than or equal to 115°F? Select two answers.

A.Barrow

B.Budapest

C.Prague

D.Tehran

E.D e a t h Valley

F.London

Answer: 27/70

the area of the shaded rectangle

Step-by-step explanation:

9/10 and 3/7 of the rectangle are shaded on top and bttom. So you multiple this together and you will get 27/70

9/10 x 3/7 = 27/70

The solution to the given linear inequality, r - 6 > -11, is r > -5

From the question, we are to determine the solution of the given inequality

The given inequality is

r - 6 > -11

To determine the solution of the inequality, we will solve the inequality for the unknown variable.

In the inequality, the unknown variable is r.

Solving the inequality for r

r - 6 > -11

Add 6 to both sides

r - 6 + 6 > -11 + 6

r > -5

Hence, the solution is r > -5

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Answer: [tex]C. \frac{125}{7}[/tex]

Step-by-step explanation:

1. Find the sum of the infinite geometric sequence:

[tex]S = \frac{125}{7}[/tex]

2. Find the correct option:

C

The values of the objective function obtained for the given set of equation is 7.

For the stated question-

Objective function z = x1+2x2

Constraints

Subtract equation 2 from 1.

x1 = 8 - 5

x1 = 3

Put value if x1 in eq 2

x1 + x2 = 5  

x2 = 5 - 3

x2 = 2

Put the values of x1 and x2 in Objective function

z = x1 + 2x2

z = 3 + 2x2

z = 7

Thus, the values of the objective function obtained for the given set of equation is 7.

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Answer:

y = -2

x = 1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Hope this helped! :D

Answer:

Step-by-step explanation:

To fill the table using the expression

you have to replace each value with x and solve the expression

Answer:

Step-by-step explanation:

Expression : 9x - 5

To fill the table using the expression, you have to replace each value with x and solve the expression.

The answer is attached to the picture.

Answer: 1560

Step-by-step explanation: The average rate of change of a function over an interval is the total change in the value of the function divided by the length of the interval. In this case, the function is f(x) = 10(2)^x and the interval is [3, 5].

To find the average rate of change of the function over the interval, we can first evaluate the function at the two endpoints of the interval, which are x = 3 and x = 5. At x = 3, the function has a value of f(3) = 10(2)^3 = 80. At x = 5, the function has a value of f(5) = 10(2)^5 = 3200.

The total change in the value of the function over the interval is then the difference between the values at the two endpoints, which is f(5) - f(3) = 3200 - 80 = 3120.

The length of the interval is 5 - 3 = 2, since it goes from x = 3 to x = 5. Therefore, the average rate of change of the function over the interval is the total change in the value of the function divided by the length of the interval, which is (3120) / 2 = 1560.

Therefore, the average rate of change of the function f(x) = 10(2)^x on the interval [3, 5] is 1560.

Answer:

4.75 megabytes per second

Step-by-step explanation:

500-25 = 475

475 / 100 = 4.75

The total volume of the composite figure is; 381 m³

The formula for volume of a prism is;

V = Bh

where;

B is area of triangular base

h is height of prism

Thus;

V = (¹/₂ * 3 * 5) * 6

V = 45 m³

Volume of bottom cuboid is given by the formula;

V = Length * width * height

Thus;

V = 16 * 7 * 3

V = 336 m³

Total volume of composite figure = 45 m³ + 336 m³

Total volume of composite figure = 381 m³

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Answer:

Step-by-step explanation:

mult 19 buy 34 to find total number of page read then add page left = 1839

Answer:

z = 15

Step-by-step explanation:

I got it right on my exam ( i luckily guessed it, but trust me.)

Answer:

59

Step-by-step explanation:

31+4 × [11-(1+3)]

31+4*[11-4]

31+4*(7)

31+28

59

The easy Answer is 59. When doing these types of questions remember:

Parentheses

Exponents

Multiplication

Divionsion

Add

Subtract

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The percentage error of the measurement is 47.8%.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The actual length of the line = 2.3 inches

The measured length of the line = 2.2 inches

The error length of the line.

= 2.3 - 2.2

= 1.1 inches

The percentage error of the measurement.

= 1.1/2.3 x 100

= 47.8%

Thus,

The percentage error of the measurement is 47.8%.

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The acceleration of the car is 6m/s²

Acceleration is the rate of change of the velocity of an object with respect to time. Accelerations are vector quantities. Acceleration is measured in meter per second squared

It can also be defined as the ratio of the change in velocity to the time

Therefore acceleration is given as (v-u)/t

where v is the final velocity and u is the initial velocity, t is the time

therefore a= 30-0/5

a= 30/5

a= 6m/s²

therefore the acceleration of the car is 6m/s²

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Answer: 0.75 inches per hour

Step-by-step explanation:

9/12=0.75
0.75 x 12 = 9
0.75 inches per hour

Answer:  4.5 hours.

Step-by-step explanation:

Use a proportion.

3 3/8 = 3.375

9 inch is to 12 hours as 3.75 inches is to x hours.

9/12 = 3.375/x

3/4 = 3.375/x

3x = 4 * 3.375

x = 4 * 1.125

x = 4.5

Answer: 4.5 hours

Using an exponential function, the rate of growth is 20.482%, the number of bacteria after two hours is 12048.21 and the doubling time of the bacteria is 3.7 hours

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function.

A) The rate of growth can be calculated as

Data;

Writing this in an exponential function;

A = P(1 + r)ˣ

10000 = 8300(1 + r)¹

r = 0.2048

r = 20.482%

B)

Substituting the values into the function above

x = 2

A = 8300(1 + 0.2048)²

A = 12048.21

C)

For the bacterial to double, the time will be

2 = (1 + 0.2048)ˣ

x = 3.7 hours

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By the definition of the vertex form of the quadratic equation x - 1 = 6 · (y + 6)² has its vertex at (h, k) = (- 6, 1) and opens to the right. (Correct choices: A, B)

In this problem we find the definition of a quadratic equation in vertex form, whose axis of symmetry is parallel to the x-axis. This form of quadratic equation is described below:

x - h = C · (y - k)²

Where:

Please notice that the parabola opens to the right (+ x direction) when the vertex constant is greater than 0. By direct inspection, we have the following conclusions:

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Answer:

1- The expression 20 + (8/2) is the 30 of 20 and (8/2). The expression 8/2 is the 10 of 8 and 2.

2- The expression 11 x 6 has two 6s, that is, 11 and 6, because it is the 66 of those expressions.

a) The net for the sale is: $4,500

b) The capital gain is $2,200

We know that you had 100 shares, now the value of each of these is $45.00, then the amount that you make if you sell the 100 shares is:

S = 100*$45.00 = $4,500

The capital gain is the difference between the amount we found above and the amount you paid for the shares.

The price of the shares was $23.00, then the amount you paid is:

C = $23.00*100 = $2,300

Then the capital gain is:

g = $4,500 - $2,300 = $2,200

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191 of adult plates and 81 child plates were sold.

Two or more expressions with an Equal sign is called as Equation.

Given,

Adult plate costs A= $8

Child plate costs C=$5

Total plates sold is 272

A+C=272..(1)

8A+5C=1,933..(2)

C=272-A

Substitute in equation 2

8A+5(272-A)=1933

8A+1360-5A=1933

1360+3A=1933

Subtract 1360 on both sides

3A=1933-1360

3A=573

Divide both sides by 3

A=191

Now substitute A value in 1

191+C=272

Subtract 191 on both sides

C=272-191

C=81

Hence, 191 of adult plates and 81 child plates were sold.

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Answer:

None of the values.

Step-by-step explanation:

Simplify the given equation.

First, simplify by combining like terms. Like terms are terms that share the same amount of the same variables:

4 = m + 5 - 2m

4 = (m - 2m) + 5

4 = -m + 5

Next, isolate the variable, m. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

-

First, subtract 5 from both sides of the equation:

4 = -m + 5

4 (-5) = -m + 5 (-5)

4 - 5 = -m

-1 = -m

Next, isolate the variable m. Remove the negative sign by dividing -1 from both sides of the equation:

(-1)/-1 = (-m)/-1

m = -1/-1 = 1

None of the values will make the equation true, as 1 is not a given value.

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The number of solution of the equation x + 2 = 3y will be infinite for the infinite value of 'x'. The solution is (1, 1).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given below.

x + 2 = 3y

There is only one equation, so we have to assume 'x'.

If x = 1, then the value of the variable 'y' is given as,

3y = 1 + 2

3y = 3

y = 3 / 3

y = 1

Similarly, the number of solution of the equation x + 2 = 3y will be infinite for the infinite value of 'x'.

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