Question 19 of 25 The graph of F(x) shown below resembles the graph of G(X) = x4, but it has been vertically stretched. Which of the following could be the equation of F(x) ? 5 5 ÜL O A F(x) = -1x*​

Answer:

8✓6 + 3✓2 or as a decimal it rounds to 23.84

Answer:

2916 and 6724 respectively

Step-by-step explanation:

the steps on how to evaluate 54^2 and 82^2 using the formula for squaring a binomial are:

1. Write the binomial as a sum of two terms.

\(54^2 = (50 + 4)^2\)

\(82^2 = (80 + 2)^2\)

2. Square each term in the sum.

\(54^2 = (50)^2 + 2(50)(4) + (4)^2\\82^2 = (80)^2 + 2(80)(2) + (2)^2\)

3. Add the products of the terms.

\(54^2 = 2500 + 400 + 16 = 2916\\82^2 = 6400 + 320 + 4 = 6724\)

Therefore, the values  \(54^2 \:and \:82^2\)are 2916 and 6724, respectively.

Answer:

54² = 2916

82² = 6724

Step-by-step explanation:

A binomial refers to a polynomial expression consisting of two terms connected by an operator such as addition or subtraction. It is often represented in the form (a + b), where "a" and "b" are variables or constants.

The formula for squaring a binomial is:

\(\boxed{(a + b)^2 = a^2 + 2ab + b^2}\)

To evaluate 54² we can rewrite 54 as (50 + 4).

Therefore, a = 50 and b = 4.

Applying the formula:

\(\begin{aligned}(50+4)^2&=50^2+2(50)(4)+4^2\\&=2500+100(4)+16\\&=2500+400+16\\&=2900+16\\&=2916\end{aligned}\)

Therefore, 54² is equal to 2916.

To evaluate 82² we can rewrite 82 as (80 + 2).

Therefore, a = 80 and b = 2.

Applying the formula:

\(\begin{aligned}(80+2)^2&=80^2+2(80)(2)+2^2\\&=6400+160(2)+4\\&=6400+320+4\\&=6720+4\\&=6724\end{aligned}\)

Therefore, 82² is equal to 6724.

The length and width of a rectangle are 36cm and 4.5cm

Finding the Width:

The formula to find the perimeter of the rectangle is:

P=2(l+w),

where P is the perimeter, l be the length, and w be the width.

Now substitute the given values to solve for w, since we need to find the width.

The given information is:

the length of a rectangle is six inches more than eight times the width so the equation becomes:

L=8w+6

P=120

w=8w

now plug the values in the above formula:

P=2(l+w),

120=2(8w+6)+8w

120=16w+12+8w

120=24w+12

24w=108

w=4.5

To find the length just substitute in the L.

L=8(4.5)+6

L=30+6

L=36

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The soap used by the machine last year is 5399.76 gallons.

The denominator of a percentage (also known as a ratio or fraction) is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100. In this case, the percentage symbol "%" is read as "percent" or "percentage." This percent symbol can always be changed to a fraction or decimal equivalent by using "divided by 100."

Let the soap used last year = x.

Then, according to the given condition:

4,508.8 = x (1 - 16.5%)

4,508.8 = x (83.5/100)

x = 4,508.8(100) / 83.5

x = 5399.76

Hence, the soap used by the machine last year is 5399.76 gallons.

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Answer:

20

Step-by-step explanation:

the answer is 20

Answer:

Answer:

See explanations below

Step-by-step explanation:

Mean is the average of the data

Mean = sum of data/sample size

Sum of data = 89+99+80+5+90+0+100+95

Sum of data = 558

Sample size = 8

Mean = 558/8

Mean = 69.75

Median is the data value in the middle after rearrangement

Rearrange

0 , 5, 80) 89, 90, (95, 99 100

Median = 89+90/2

Median = 89.5

The parameter that gives a better picture of the scores is the Mean since all the given datas are taken into consideration

The mean test score is

✔ 69.75

.

The median test score is

✔ 89.5

.

Which measure of center best represents the test data?

✔ median

I hope this helps!

Answer:

6435

Step-by-step explanation:

Find the number of combinations

\(C(15,7)=\frac{15!}{7!(15-7)!}=\frac{15!}{7!8!}=\frac{15*14*13*12*11*10*9}{7*6*5*4*3*2*1}=\frac{32432400}{5040}=6435\)

Therefore, there will be 6,435 possible groups of 7 city council members out of 15 total members who voted in favor of the budget increase.

The number of possible groups of council members who could have voted in favor of the budget increase is 6435. The calculation involves combinations.

Since the order in which the members voted is not required, this calculation does not involve permutations. It involves combinations.

The formula for calculating combinations is:

\(nCr=\dfrac{n!}{r!(n-r)!}\)

where n, the total number of objects = 15

          r, sample size = 7

Putting the values in the equation,

The answer is 6435.

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Your needs are essential expenses such as rent, utilities, groceries, and transportation.

These should be prioritized in your budget as they are necessary for your survival. On the other hand, your wants are non-essential expenses such as eating out, entertainment, and shopping. While it is important to treat yourself, it is also important to allocate a reasonable amount of money towards your wants. Needs and wants play a crucial role in creating a budget. A budget helps allocate financial resources according to one's priorities. Needs are essential items required for daily living, such as housing, food, and utilities. Wants are desires or non-essential items, like vacations or entertainment. While creating a budget, it's important to prioritize needs over wants to ensure financial stability. Understanding the difference between the two and allocating funds accordingly helps in maintaining a balanced lifestyle, promoting healthy spending habits, and achieving long-term financial goals. A well-structured budget ensures that you can fulfill both your needs and some wants within the allotted resources.

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Needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

When creating a budget, your needs and wants play a crucial role in determining how you allocate your financial resources. Here's how they factor in:

Identifying Needs: Your needs are the essential expenses required for your basic well-being and survival. These typically include housing, utilities, food, transportation, healthcare, insurance, debt repayments, and other necessary expenses. Understanding your needs helps you prioritize allocating funds to cover these essential costs first. Ensuring your needs are met is the foundation of any budget.

Prioritizing Wants: Wants, on the other hand, are things you desire or would like to have but are not essential for your survival or basic well-being. This category includes discretionary expenses such as entertainment, dining out, travel, hobbies, luxury items, and other non-essential purchases. While wants are not as critical as needs, they contribute to your overall quality of life. Allocating a portion of your budget for wants allows you to enjoy these extras within your financial means.

Trade-offs and Decision Making: Budgeting requires making decisions about how to allocate limited resources. By considering your needs and wants, you can evaluate trade-offs between various expenses. If your needs are not being fully met within your current budget, you may need to reduce or eliminate some wants temporarily to ensure your essential expenses are covered. On the other hand, if your needs are comfortably met, you have more flexibility to allocate funds toward wants or savings.

Flexibility and Adjustments: Needs and wants can evolve over time. When creating a budget, it's important to regularly reassess and adjust it to align with your changing circumstances and priorities. For instance, if your income increases, you might have more room to allocate additional funds toward wants or savings. Similarly, if your needs change, such as due to a job loss or a new family member, you may need to make adjustments to ensure your budget remains sustainable.

In summary, needs and wants play a vital role in creating a budget by helping you prioritize your spending, make trade-offs, and allocate your financial resources effectively. By considering both your essential expenses and desired extras, you can create a balanced budget that reflects your financial goals and values.

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The first and third rectangular prisms have the same volume of 30 cubic units.

The second rectangular prism has a volume of 350 cubic units, and the fourth rectangular prism has a volume of 24 cubic units.

The volume of each of the rectangular prisms can be calculated as follows:

1.   length: 1; width: 10; height: 3

volume = 1 x 10 x 3 = 30

2.  length: 5; width: 10; height: 7

volume = 5 x 10 x 7 = 350

3.   length: 2; width: 5; height: 3

volume = 2 x 5 x 3 = 30

4.   length: 4; width: 2; height: 3

volume = 4 x 2 x 3 = 24

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The function f(x) = x represents a straight line with a slope of 1. Since the slope of a straight line is constant, the derivative of f(x) = x will always be the same regardless of the value of x.

To find the derivative of f(x), we can use the power rule, which states that the derivative of x^n is equal to n*x^(n-1), where n is a constant.

In this case, since f(x) = x, we can apply the power rule with n = 1. Taking the derivative of x^1 gives us 1*x^(1-1) = 1*x^0 = 1.

So, the derivative of f(x) = x is f'(x) = 1. This means that the slope of the line represented by f(x) = x is always 1, indicating that the function has a constant rate of change.

Therefore, for any value of x, including x = 4, x = 17, and x = -6, the derivative f'(x) will be 1. In other words, the rate of change of the function f(x) = x is always 1, regardless of the specific value of x.

Hence, we can conclude that f'(4) = 1, f'(17) = 1, and f'(-6) = 1.

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Let's solve your inequality step-by-step.

\(2<2x+4<10\)

\(2 + -4 < 2x + 4 + -4 < 10 + -4\) (Add -4 to all parts)

\(-2 < 2x < 6\)

\(\frac{-2}{2} < \frac{2x}{2} < \frac{6}{2}\) (Divide all parts by 2)

\(-1 < x < 3\)

So the answer is : \(-1 < x < 3\)

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

The speed of skaters was 10 km per hr.

Mathematically, the speed of an object is directly proportional to the distance traveled and inversely proportional to the time taken. In simple words, the more the speed, the distance traveled is more in a short period and vice-versa.

Let the speed of the skater be x

We know, speed = \(\frac{Distance}{Time}\)

According to the question:

\(\frac{20}{x} = \frac{40}{x + 10}\)

Cross multiplying both sides,

20(x+10) = 40x

20x + 200 = 40x

20x = 200

x = 10

Thus, the speed of skaters was 10 km per hr.

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Answer:

  7776π in³

Step-by-step explanation:

You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.

__

The area of the sphere is given by the formula ...

  A = 4πr²

Solving for r, we find ...

  A/(4π) = r²

  √(A/(4π)) = r = √(1296π/(4π)) = √324 = 18

The radius of the sphere is 18 inches.

__

The volume formula is ...

  V = 4/3πr³

Using the found radius, we find the volume to be ...

  V = 4/3π(18 in)³ = 4/3(5832)π in³

  V = 7776π in³

Answer: FALSE

Step-by-step explanation:

A P E X

Answer:

true

Step-by-step explanation:

Subtract the difference of girls and boys from total kids:

35 -13 = 22

Divide 22 in half:

22/2 = 11

number of females = 11

Number of males = 11 + 13 = 24

Answer:

24 males, 11 females

Step-by-step explanation:

Solved with equations:

m = males, f = females

The equations:

\(m+f=35\\m-f=13\)

Add the two equations:

\(2m=48\)

\(m=48/2=24\) males

Number of females:

\(24+f=35\\f=35-24\\f=11\)

Hope this helps

The total number of coins Latanya has if she has 90 nickels and 150 pennies is 240.

The total number of coins Latanya has if she has n nickels and p pennies is n + p.

Latanya finds some nickels and pennies under the couch cushions.

Latanya has 90 nickels and 150 pennies.

Therefore, the number of coins she has can be calculated as follows:

number of nickels = 90

number of pennies = 150

Therefore,

total number of coins = 150 + 90

total number of coins = 240

If she has n nickels and p pennies, the total coins can be calculated as follows:

number of nickels = n

number of pennies = p

total coins = n + p

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There is a strong positive correlation between the heights of fathers who are taller than 72 inches and their sons.

Based on the data provided in the image, if we only consider fathers who are taller than 72 inches and their sons, we can calculate the correlation between their heights by using the Pearson correlation coefficient.

First, we need to filter the data to only include fathers who are taller than 72 inches and their sons. Using the information in the image, we can see that there are 18 fathers who meet this criteria. We can create a new dataset with this information:

The Pearson correlation coefficient between these two variables is 0.703, which indicates a strong positive correlation between the heights of fathers and their sons who are taller than 72 inches.

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Answer:

2.85

Step-by-step explanation:

It would be 2.85 because half of 3.00 is 1.50 and half of 2.70 is 1.35 add 1.35 and 1.50 together that makes 2.85

Hope that helps :))

The values that a correlation r can possibly take are -1  ≤  r  ≤ 1. Thus, option C is correct as per the correlation relation.

Correlation is a statistical measurement that describes the extent to which two variables are linearly related to each other in positive and negative directions. The correlation coefficient is denoted by r.

The value of correlation r can range from -1 to 1. Here,

-1 indicates: a perfect negative correlation

0 indicates:  no linear correlation

1 indicates: a perfect positive correlation

Therefore, we can conclude that the values that a correlation r can possibly take are between -1 ≤ r ≤ 1.

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Answer:

pls yo give the full question

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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Answer:

1/3

Step-by-step explanation:

The total amount of students is 45. 1/3 of 45 is 15

Answer:

About 33.3% of students voted for Beau.

Answer:

i dont know

Step-by-step explanation:

.

  3/4÷ 2/3=   3/4*3/2= 9/8= mixed fraction 1  1/8 pounds.

Answer:

Step-by-step explanation:

Answer:

x = 24

Step-by-step explanation:

We know that lines s and t are parallel. Then by definition, the two labelled angles, which are same-side angles, are congruent and equal in measure.

Then, we set the expressions equal to each other:

7x - 48 = 5x

Subtract 5x from both sides:

7x - 5x - 48 = 0

2x - 48 = 0

Add 48 to both sides:

2x = 48

Divide by 2:

x = 48/2 = 24

Thus, x = 24.

~ an aesthetics lover