If you horizontally stretch the quadratic parent function, f(x) = x², by a factor
of 5, what is the equation of the new function?
A. g(x) = (5x)2
B.
B. g(x) = (x)²
C. g(x) = 5x²
OD. g(x)=x²2

The largest possible total area of the four pens is 285610 ft²

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the length of the pen and x represent the width of the pen.

Hence:

Perimeter = x + y + x + y + x + x + x = 2y + 5x

2y + 5x = 3380    

y = (3380 - 5x)/2      (2)

Area (A) = xy

A = x * (3380 - 5x)/2      

A = (3380x - 5x²)/2      

The maximum area is at A' = 0, hence:

A' = (1/2)(3380 - 10x)

0 = (1/2)(3380 - 10x)

10x = 3380

x = 338 ft.

2y + 5(338) = 3380    

y = 845 ft.

Largest possible total area = 338 * 845 = 285610 ft²

The largest possible total area of the four pens is 285610 ft²

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The equation for the given relation is a quadratic equation:

[tex]y = x^2[/tex]

Here we have the relation:

D = {(x, y); (3, 9), (5, 25), (-2, 4), ...}

Notice that for each coordinate point, we can see that the output is equal to the square of the input:

[tex]3^2 = 9\\5^2 = 25\\(-2)^2 = 4[/tex]

Then the equation is just:

[tex]y = x^2[/tex]

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Answer:

The answer to your question is m = 6

Step-by-step explanation:

I hope this helps and have a good day!

Answer:

36^12 - m = 6^2m

6^2(12 - m) = 6^2m

24 - 2m = 2m

24 = 4m

m = 6

The proofing for the triangle is illustrated below.

The proofing for a² + b² = c² in the triangle is illustrated.

It should be noted that the longest side in the triangle is the hypothenuse. The hypothenuse is gotten by finding the square root of the opposite and the adjacent.

Therefore, a² + b² = c²

Let's say a = 3 and b = 4, the value of c will be:

c² = a² + b²

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = ✓25

c = 5

Also, the square and triangle is illustrated and attached.

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Answer:

A. 7x + 3x = 10x, B. 6s - 3s + 4s = 7s, C. 4T - 6T = -2T, D. 4xy + 3xy + x = 7xy + x, E. (6x) ^2 = 36x^2, F. 6x/2x = 3.

Step-by-step explanation:

A. explanation: Add 7x and 3x. B. explanation: Simplify the expression. C. explanation: Subtract 6T from 4T. D. explanation: Add 4xy and 3xy. E. explanation: Simplify the explanation. F. explanation: Simplify the expression.

Answer: give her brainliest

Step-by-step explanation:

hey mackenzie :)

Answer:

Step-by-step explanation:

Amount in fluid ounce of coffee

Its the only one that deals with numbers

Answer:

220

Step-by-step explanation :

11 = 5%

100 ÷ 5 = 20

11 × 20 = 220

0.05 × 220 = 11 ✓

0.05 = decimal multiplier of 5%

Answer:

  $47.28

Step-by-step explanation:

The total cost is found by adding the costs of the components.

There is one daisy, at $0.85 each.

There are to carnations at $0.50 each, for a total of 2×$0.50 = $1.00.

The is 6 inches of ribbon. That amount is 1/2 foot, so its cost is ...

  (1/2 ft)×$0.24/ft) = $0.12.

The total cost of the components of one corsage is ...

  daisy cost + carnation cost + ribbon cost = $0.85 +1.00 +0.12 = $1.97

There are 24 corsages, so their total cost will be 24 times this amount, or ...

  24 × $1.97 = $47.28

The total cost of the 24 corsages is $47.28. All the costs of the components required for making a corsage are added to get the total cost of the corsage.

It is given that,

The components and their costs:

The cost of each daise = $0.85

The cost of each carnation = $0.50

The cost of the ribbon per foot = $0.24 (1 foot = 12 inches)

The components for making one single corsage:

One yellow daisy + two pink carnations + 6 inches of ribbon = 1 corsage

Then, calculating the price for one single corsage,

1 × $0.85 + 2 × $0.50 + (1/2) × $0.24 = cost of 1 corsage

⇒ $0.85 + $1 + $0.12

⇒ $1.97

For 24 corsages, the total cost = 24 × $1.97 = $47.28

Therefore, the total cost of the 24 corsages is $47.28.

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The wheelchair ramp must have a height of approximately 1.553 meters. One tree is approximately 310.309 meters taller than the other one.

In this problem we have two cases in which geometric diagrams and trigonometric functions are utilized to determine side lengths. Based on all informations presented in the images attached below, we proceed to find the side lengths:

Case A

h = (6 m) · sin 15°

h ≈ 1.553 m

Case B

Δh = 60 m /cos 36° - 60 m /cos 52°

Δh ≈ 310.309 m

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The number of color settings he can make is 20

The given parameters are

Colors, n = 6

Selected color, r = 3

The number of color setting is calculated as:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

This gives

[tex]^6C_3 = \frac{6!}{3!3!}[/tex]

Evaluate the expression

[tex]^6C_3 = 20[/tex]

Hence, the number of color settings he can make is 20

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Answer:7 people

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

The five-number summary is: 41, 56, 65, 67, 69.

The box plot that represents the data is: option B.

Correct statement for the shape of the distribution is: B. the distribution is skewed to the left.

The five-number summary is a five data value that describes the distribution of a data set, which include: lower and upper quartiles, minimum and maximum values, and the median of the data.

The five-number summary is used to construct a box plot.

Given the data, 65, 56, 67, 68, 66, 66, 67, 69, 48, 57, 59, 68, 59, 41, 44, the five-number summary for the data is:

This means that the box plot that will represent this data will have a box that ranges between 56 and 67, and the data at both whiskers will be 41 and 69, while the data at the point where the vertical line divides the box would be 65.

Thus, the box plot that represents the data is: option B.

The median is closer to the right of the third quartile/upper quartile, therefore: B. the distribution is skewed to the left.

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The solution of the inequality by method of interval is x = [5,∝) and x = [-2,0]∪[8,-∝).

The first inequality is (x² - 25)/(x + 10) ≥ 0

⇒ x² - 25 ≥ 0

⇒ x² ≥ 25

∴ x ≥ 5

Thus the domain of the given inequality from method of interval is x = [5,∝).

The second inequality is (x + 2)(x² - 64)/(x² + 45) ≤ 0

⇒ (x + 2)(x² - 64)≤ 0

Either (x + 2)≤ 0 or (x² - 64)≤ 0

Either x ≤ -2 or x ≤ 8

Thus , the combined domain of the given inequality from method of interval is x = [-2,0]∪[8,-∝) .

Therefore, the solution of the inequality by method of interval is x = [5,∝) and x = [-2,0]∪[8,-∝).

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The conditional relative frequency for female students who prefer playing sports is 34%.

The table of values is given as:

                        Sports   Dancing Row totals

Male students      18             16        34

Female students  18             35       53

Column totals       36            51         87

Mason's calculation is given as:

P = 21%

This is gotten by

18/87 = 21%

The above represents the joint relative frequency of female students who prefer playing sports.

To calculate the conditional relative frequency, he should divide 18 by the row total.

So, we have

18/53 = 34%

Hence, the conditional relative frequency for female students who prefer playing sports is 34%.

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Answer:

[tex]\frac{xy-xz}{y-z} = x[/tex]

Step-by-step explanation:

Hello!

We can simplify the fraction by factoring and canceling out common factors.

We are left with x as the final simplified form.

Answer:

Step-by-step explanation:

angle on a straight line is 180

angle of 1 = 180 -110

                  =70

The graph shows the comparison of the human welfare and ecological footprints.

A graph simply means a diagram that shows the relationship between variables.

From the graph, it can be seen that countries such as Norway, Canada, USA, and Australia meet the minimum criteria for sustainability.

The graph also shows that Sierra Leone is the least developed country among the countries compared as it has the lowest human development index.

The threshold for high human development as given as 0.8. Most African countries had a human development index of 0.5 and below.

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The cubic function can be graphed using the function behavior and the points.

x   0    1     2        3      4

y   0  −4   −12   −18  −16

Put  x = 0.

Replace the variable x with 0 in the expression.

[tex]f(0)=(0)^3-5(0)^2[/tex]

Raising 0 to any positive power yields 0.

f(0) = 0 − 5⋅0

f(0) = 0

y = 0

Put x = 1.

Replace the variable x with 1 in the expression.

[tex]f(1)=(1)^3-5(1)^2[/tex]

f(1) = 1− 5⋅1

f(1) = −4

y = −4

Put x = 2.

Replace the variable x with 2 in the expression.

[tex]f(2)=(2)^3-5(2)^2[/tex]

[tex]f(2)=8-5(2)^2[/tex]

f(2) = 8 − 5⋅4

f(2) = −12

y = −12

Put x = 3.

Replace the variable x with 3 in the expression.

[tex]f(3)=(3)^3-5(3)^2[/tex]

f(3) = 27 − 45

f(3) = −18

y = −18

Put x = 4.

Replace the variable x with 4 in the expression.

[tex]f(4)=(4)^3-5(4)^2[/tex]

[tex]f(4)=64-5(4)^2[/tex]

f(4) = 64 − 5 ⋅16

f(4) = 64 − 80

f(4) = −16

y = −16

The cubic function can be graphed using the function behavior and the points.

x   0    1     2        3      4

y   0  −4   −12   −18  −16

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Answer:

Step-by-step explanation:

Let the age of Abel is x and age of Asare is y.

Three times the age of Abel is four more than the age of Asare:

And

In three years, the sum of their ages will be 30 years:

We got two equations.

Simplify and solve by substitution:

Find y:

Answer:

Current Cost = Rs 360000

24000 units sold at rs 20 per unit

Turnover = 24000 * 20 = Rs 480000

Present Profit = 480000 - 360000 = Rs 120000

Profit per unit = 120000/24000 = 5 rs per unit

cost increased for increasing 3000 Production

Direct Material cost increase = (120000/24000) * 3000 = Rs 15000

Direct Labour cost increase = (84000/24000) * 3000 = Rs  10500

Variable overhead increase = (48000/24000) * 3000 = Rs 6000

Semi variable cost increased = Rs 1000

Cost Increased = 15000 + 10500 + 6000 + 1000 = 32500

Price per unit = Rs 14

Turnover from 3000 units = 14 * 3000 = Rs 42000

Proposed Profit from 3000 units = 42000 -32500 = Rs 9500

Proposed Profit per unit = 9500/3000 =  Rs 3.17

Decision Depends upon management  as Profit is there in a new market but per unit profit is  lesser than current profit

Step-by-step explanation:

Got the answer from amitnrw

The first step is to find out how question in total she is able to miss, while still passing.

We know that there are [tex]40\\[/tex] questions on the test and she must get [tex]70[/tex]% of the questions correct.

Let's calculate how many questions that is:

40 x 0.70

= 28.

Subtract

40 - 28

= 12.

She is able to get 12 answers incorrect.

Now we must find out how many questions she got wrong when she got 40% of the first 15 correct.

If she got 40% correct; She got 60% incorrect.

Let's do the math:

Multiply:

15 x 0.40

= 6

Subtract:

15 - 6

= 9

This means that she got 6 questions correct, and 9 questions incorrect.

With the total allotment of 12 incorrect answers allowed, she can only get 3 more questions wrong.

Now we must find the percentage of the remaining 25 questions she can get wrong.

She can only get 3 wrong and she must get 22 correct.

Multiply:

22 x 4

= 88.

This means that she has to get 88% of the remaining 25 questions correct.

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

[tex]m(t) = 120e^-^0^.^0^1^8^(^5^0^)[/tex]

[tex]m(t) = 120e^-^0^.^9[/tex]

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

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Answer:

1/2×base×height

1/2×8×8

32cm²

Answer:

1.2 × 107 this is the sciencetific notation for 12 million

..

[tex] \frac{1}{4} x + 1 = 32 \\ \frac{1}{4} x = 32 - 1 \\ \frac{1}{4} x = 31 \\ x = 31 \times 4 = 124[/tex]

The answer is 124.

SOLUTION :

let total people in the party be x i.e. 1260

then , number of men = 5/9 of x

= 5/9 of 1260 = 5 × 140 = 700 men

now ,

number of women = Total person - (number of total men)

= ( 1260 - 700 ) women

= 560 women

________________________________

HOPE IT HELPS

MARK BRAINLIEST!

FOLLOW ME!

The value of x according to the given task is; 12.

It follows from the task content that the value of x is to be determined.

Since, lines AB and BC are both tangent to the circle and they both share a point of intersection; it follows that;

5x = 3x +24

2x = 24

x = 24/2

x = 12.

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Answer: c, y ≤ -3x+6

Step-by-step explanation:

for example we could use a point on the graph such as (-2, 0)

now we would insert the numbers into the inequality:

y ≤ -3x+6

= 0 ≤ -3(-2) +6

= 0 ≤ 6+6

= 0 ≤ 12

which is true! therefore it is y ≤ -3x+6

The probability that the ball Deborah picks is green is; 3/5.

Since the bag initially contains; 3 red balls, 4 green balls, and 2 yellow balls, after Deborah pulls out the 4 balls: red, red, green, yellow.

The balls remaining are; 1 red ball, 3 green and 1 yellow.

Hence, the probability that the final ball she picks is green is; 3/(3+1+1) = 3/5.

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Answer:

Step-by-step explanation:

Comment

Let the number of pages = x

Play =    1/3x

Actors = 1/4(x - 1/3 x)

Actors = 1/4(2/3x)

Actors = 2/12 x

Producer Director etc = 2 pages

Equation

Actors = 2 pages

2/12 x = 2

Solution

2x/12 = 2               Multiply both sides by 12

12*2x/12 = 2*12     Combine

2x = 24                  Divide by 2

2x/2 = 24/2           Combine

x = 12

Answer

The program had 12 pages.