Which interval describes where the graph of the function is positive?

Answer:

a2 + 2al (or) a2 + √a24+h2 a 2 4 + h 2

Step-by-step explanation:

Answer:

SA=L²+2L√(L²/4+H²)

Step-by-step explanation:

Where H is the height and L is the length

SORRY PLEASE DELETE THIS ANSWER IT ISN'T GOOD AND IS INCOMPLETE I ACCIDENTALLY WROTE IT

Answer:ab

Step-by-step explanation:

because..........

Answer:

k is usually called the spring constant

Step-by-step explanation:

sorry if its not right, that is just what i have learned.

have a good day !!!

Answer:

£11.25

Step-by-step explanation:

I = P * R * T

Where,

I = simple interest

P = principal = £100

R = interest rate = 2.25%

T = Time = 5 years

I = P * R * T

= 100 * 2.25% * 5

= 100 * 2.25/100 * 5

= (100 * 2.25 * 5) / 100

= 1,125/100

= 11.25

I = £11.25

Given:

Consider the number as x.

The objective is to represent algebraic expression for, 2 is subtracted from the square of a number.

Explanation:

Since the number is given as x, the square of the number can be represented as,

Now, subtract 2 from the above expression,

Hence, the required expression is x²-2.

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

EXPLANATION

Since we have the function:

Vertical asymptotes:

Taking the denominator and comparing to zero:

The following points are undefined:

Therefore, the vertical asymptote is at x=-5

Horizontal asymptotes:

In conclusion:

The required probability that the total number of spots showing is less than 7 is 9.26%

The probability of an event is found by considering all possibilities that follow the given condition. The probability value cannot exceed the interval [0,1].

Three six-sided dice are rolled at the same time.

It is asked to calculate the probability that the total number of spots showing is less than 7.

If the die is rolled, possible outcomes are as given below.

S: {1, 2, 3, 4, 5, 6}

Number of elements in sample space, n(S) = 6.

Probability of any specific outcome from S = 1/6

If the three dice are rolled together, the total number of elements in the sample space will be \((6^3)\)

Then, the probability of getting any of any specific outcome from this sample will be given by: \(\frac{1}{6^3} =\frac{1}{216}\)

Find the total possibilities for which the total of outcomes of all three dice is less than 7. It is possible when we get the following outcomes.

The minimum total that we get is 3 with outcomes (1,1,1) on three dice.

For a total of 3:

Possible outcomes: [1, 1, 1]

The number of possibilities \(A_1=1\)

For total 4:

Possible outcomes: [1,1,2], [1,2,1], [2, 1, 1]

Number of possibilities \(A_2=3\)

For a total of 5:

Possible outcomes:  [1,1,3], [1,3,1], [3, 1, 1],  [1,2,2], [2,2,1], [2, 1, 2]

The number of possibilities \(A_3=6\)

For a total of 6:

Possible outcomes :  [1,1,4], [1,4,1], [4, 1, 1],[1, 2, 3] ,[1,3,2],[2, 3, 1], [3,2,1], [3, 1, 2],[2,1,3], [2, ,2 ,2]

The number of possibilities : \(A_4=10\)

The number of possibilities for which the total number of spots showing is less than 7 is given by,

\(A_1+A_2+A_3+A_4\)

=> 1+ 3+ 6+ 10

=> 20

The probability that the total number of spots showing are less than 7 is calculated below.

P = 20/216

P = 0.0926

P = 9.26%

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The given question is incomplete, complete question is:

Explain how to solve this problem:

You have three six-sided dice. When all three dice are rolled at the same time, calculate the probability of the following outcomes:

a. The total number of spots showing is less than 7

Answer:

quadrant 1 that the graph is mainly in

Answer:

x = 9

x = 1

Step-by-step explanation:

The answer that refers to the total number of cases of a disease or a disorder in a specified population at a particular point in time is prevalence.

Prevalence is the total number of cases of a disease or disorder in a population at a given point in time, and does not include cases that have been resolved or previously diagnosed cases. It is an important measure of the health of a population, as it allows researchers to identify patterns in the distribution of a disease or disorder and helps inform public health strategies.

Prevalence is calculated by dividing the total number of cases of a disease or disorder in a population at a given point in time, by the size of the population. For example, if a population of 100,000 people has 500 cases of a particular disease, the prevalence would be 0.005 or 0.5%.

Prevalence is an important metric in epidemiology and public health, and is often used in combination with incidence rates to measure the health of a population. Incidence rates measure the number of new cases of a disease or disorder that occur in a population over a certain time period, whereas prevalence is a snapshot of the total number of cases of a disease or disorder in a population at a given point in time.

Knowing the prevalence of a disease or disorder in a population helps public health practitioners understand the magnitude of a health issue, inform public health strategies, and identify risk factors and trends in the distribution of a disease or disorder.

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The points are basically numbers and use those points to help you figure out which equation is true or in you case best models the graph.

Answer:

Option (D) is correct

Step-by-step explanation:

Hope this helped if so please leave a rating! :)

THANKS

Answer:

they need to sell 60 sweaters

10 more than 50

Step-by-step explanation:

20% of 100 is 20

20% of 50 is 10

20 divided by 2 equals 10

At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min

Volume: Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

at what rate is water pouring into a rectangular bathtub with base 23sq ft

lb=23

volume of rectangle, v=lbh

                                   v=23h

differentiate with respect to time

dv/dt=23 dh/dt.....equation(1)

the water level rises at a rate of 1.4ft/min

dh/dt=1.4ft/min

substitute in equation(1)

dv/dt=23(1.4)

dv/dt=32.2

At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min

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Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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The health club has 2 employees who work on lead generation. Each employee contacts leads for 20 hours a week and is paid $20 per hour. Approximately 8% of the leads become members and pay a one-time fee of $100. Material costs are $190 per week, and overhead costs are $1,100 per week. To analyze the productivity of the operation, we need to calculate the multifactor productivity in fees generated per dollar of input. The owner is also considering purchasing a new software program that would allow each employee to contact 20 more leads per week, but it would increase material costs by $260 per week. We need to calculate the new multifactor productivity if the software is purchased and determine how it would affect productivity.

a. To calculate the multifactor productivity, we need to determine the total fees generated and the total input costs. The total fees generated per week can be calculated as 8% of the total number of leads contacted multiplied by the one-time fee of $100, which is (0.08 * 200) * $100 = $1,600. The total input costs per week are the sum of employee wages, material costs, and overhead costs, which is (2 employees * 20 hours/week * $20/hour) + $190 + $1,100 = $2,490. Therefore, the multifactor productivity is $1,600 / $2,490 = 0.64.

b. If the owner purchases the software program and each employee can contact 20 more leads per week, the total number of leads contacted per week by both employees will be 2 * (200 + 20) = 440. The new material costs per week will be $190 + $260 = $450. The overhead costs remain the same at $1,100. The total input costs per week become (2 employees * 20 hours/week * $20/hour) + $450 + $1,100 = $1,650. The new multifactor productivity is $1,600 / $1,650 = 0.97.

c. The new multifactor productivity after purchasing the software program has increased to 0.97 from the previous value of 0.64. The change in productivity can be calculated as ((0.97 - 0.64) / 0.64) * 100 = 51.6%. Therefore, purchasing the software program would increase productivity by approximately 51.6%.

By analyzing the multifactor productivity and the impact of purchasing the software program, the owner can make an informed decision about whether the investment is worthwhile considering the potential increase in productivity.

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Answer:

On the screenshot

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

By substitution, the solution of the system of equations, 3c + 2d = 2 and d = 4, is (c , d) = (-2 , 4).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in variables c and d,

3c + 2d = 2     (equation 1)

d = 4     (equation 2)

Since the second equation is already expressed in d in terms of a constant, substitute the second equation to the first equation.

3c + 2d = 2     (equation 1)

3c + 2(4) = 2

3c + 8 = 2

Combining all terms containing the variable c on one side and the constants on the other side of the equality, and solving for c.

3c + 8 = 2

3c = 2 - 8

3c = -6

c = -6/3

c = -2

Hence, the solution of the given system of equations is (c , d) = (-2 , 4).

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Step-by-step explanation:

A) width × length = area

300 ft × l = 48000 sq ft

B) l = 48000 ÷ 300

l = 160 ft

Answer:

the answer is 5 3/8

Step-by-step explanation:

the common denoiminator of 4 and 8 is 8 so you multiply 3 by 2 like you did 4 to get 8 and you multiply 5 by 1 like you did 5 to get 5 and you add it all together

The missing statements and their reason are shown below.

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

1. m∠LOM = m∠JKI and m∠MON = m∠IKH

 Reason : Given

2.  m∠LOM + m∠MON = m∠JKI +m∠MON

   Reason :equals are added to another remains equal.

3.  m∠LOM + m∠MON = m∠JKI +m∠JKH

   Reason :m∠MON = m∠IKH.

4. m∠LOM + m∠MON = m∠LON

   m∠JKI +m∠JKH = m∠HKJ

   Reason: parts are equal to whole.

5. m∠LON = m∠HKJ

   Reason: from point 3 and 4

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Answer: y = 30 + 40x

Step-by-step explanation: 30 inches is the initial height of the sunflower, 40 inches is the rate of change the sunflower grows each month.

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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The solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

We start with the augmented matrix:

[1 2 3 | 2]

[-1 2 5 | 5]

[2 1 3 | 9]

First, we eliminate the variable x₁ from the second and third equations by adding the first equation to them:

[1 2 3 | 2]

[0 4 8 | 7]

[0 -3 -3 | 5]

Next, we eliminate the variable x₂ from the third equation by adding 3/4 times the second equation to it:

[1 2 3 | 2]

[0 4 8 | 7]

[0 0 3 | 18/4]

Now, we have the system in row echelon form. We can perform backward substitution to find the values of the variables. Starting from the last equation, we have:

3x₃ = 18/4 -> x₃ = 18/4 / 3 = 3/2

Substituting this value back into the second equation, we have:

4x₂ + 8(3/2) = 7 -> 4x₂ + 12 = 7 -> x₂ = -5/4

Finally, substituting the values of x₂ and x₃ into the first equation, we have:

x₁ + 2(-5/4) + 3(3/2) = 2 -> x₁ - 5/2 + 9/2 = 2 -> x₁ = 0

Therefore, the solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

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Answer:

The volume of the prism is 441 cm^3

Step-by-step explanation:

To find the volume of the prism we have the following formula

Mathematically, the volume of a rectangular prism is the product of the three sides of the prism

We have this as;

V = l * b * h

V = 4.2 * 15 * 7 = 441 cm^3

Answer:

$5.75 per foot

Step-by-step explanation:

if 2 yards is 6 feet, 34.48 divided by 6 = 5.74666667 rounded to the nearest tenth is 5.75

No they are not the same.

We can plug in x = 0 to get

11-2x = 11-2(0) = 11-0 = 11

2x-11 = 2(0)-11 = 0-11 = -11

We get the results 11 and -11 for the expressions 11-2x and 2x-11 respectively. Since we got different outputs, this is enough to show that the expressions are not the same. They would need to produce the same outputs for any given x value.

On a graph, y = 11-2x and y = 2x-11 are two different lines to show they are not the same expression.

note: if you plug in x = 11/2 = 5.5, then both outputs are the same; otherwise, you'll get different outputs.