Megan's room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. The width of the original room is 4m and the length of the original room is 4m. If the new room adds X to the length, what is the new expression for the new area? How many square meters has Megan's room increased? Explain how you solved the new area.

We have the next equation

First, we need to set the equation to zero

then we will use the general formula to find the roots of a second-degree equation

where

a=6

b=-7

c=-3

then we substitute the values

the roots of the equation are x=3/2, x=-1/3

Answer:

1. Initial Me charges $8 per T-shirt printed.

2. Monogram Mania charges less per T-shirt printed than Initial Me charges.

The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Two T-shirt brands Initial me and monogram mania

Clearly from the graph we can observe that the slope of monogram is not as steep as initial me which indicates that Monogram Mania charges less per T-shirt printed than Initial Me charges.

Hence, The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

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Answer:

  20 minutes

Step-by-step explanation:

Melissa works as fast as two Bettys, so working together, they get the job done at the rate 3 Bettys could do it. That time is (60 minutes)/3 = 20 minutes.

Working together, Betty and Melissa can mow the lawn in 20 minutes.

_____

You can also think in terms of mowing rates as lawns per minute. The total mowing rate is ...

  Betty's rate + Melissa's rate = (1/60 lawns/min) +(1/30 lawns/min)

  = (1/60 +2/60) lawns/min = 1/20 lawns/min

The inverse rate is then ...

  20/1 min/lawn

Together, they take 20 minutes to mow 1 lawn.

Answer:

84 degrees Fahrenheit.

Step-by-step explanation:

f = 9/5(30) + 32

f = 54 + 30

f = 84

Best of Luck!

Answer:

86

Step-by-step explanation:

f=(9/5)c+32

F=(1.8)30+32

F=54+32

F=86

Answer:

0.16 drops

Step-by-step explanation:

If there are a total of 4 drops in 25, the amount in each could be represented as 4/25. This results in 0.16, thus 0.16 drops in each candy cane.

If this helped you understand and find the solution brainliest would be much appreciated :)

Answer:

0.61

Step-by-step explanation:

Pr (female) =  total number of females(n')/Total number of students(n)

Where P(female) = probability of selectinga female

Pr(female) = n'/n................. Equation 1

Given: n = 44 students, n' = 15+12 = 27 females

Substitute into equation 1

Pr(female) = 27/44

Pr(female) = 0.61.

Hence the probability of selecting a female is 0.61

The answer is No.

14+4=18

18+5=23

23+6=29.

As you can see there is no consistency or linear function between these, unlike the x side which increases by the same number(1).

Answer:

2

Step-by-step explanation:

\(\sf \frac{6.5}{40.3} =\frac{m}{12.4}\)

Use cross multiplication.

6.5 × 12.4 = 40.3m

80.6 = 40.3m

Divide both sides by 40.3.

2 = m

Correct option is C

The plot of normal distributions A and B

A has the larger standard deviation

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

The name standard deviation for SD came from Karl Pearson. I would guess no more than that he wanted to recommend it as a standard measure. If anything, I guess that references to standardization either are independent or themselves allude to SD.

Mean

In statistics, the mean is one of the measures of central tendency, apart from the mode and median. Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set. The mean, median and mode are the three commonly used measures of central tendency.

Normal Distribution

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graphical form, the normal distribution appears as a bell curve.

The plot of normal distributions A and B

A has the larger standard deviation

Correct option is C

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Answer:

L²=(3-0)²+(4-0)²

L²=9+16

L²=25

L=5units

If you were to close your eyes and pick a ball then the probability of picking a green ball is 3 / 14.

To find the probability of picking a green ball, the formula is :

= Number of green balls / Number of total balls

The number of green balls would be 3 balls.

The number of total balls is 14 balls.

The probability of picking a green ball is therefore :

= 3 / 14

This is the simplest form.

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x⁴ - 8x² + 17 is the function that represents the fog(x).

To find fog(x), we first need to find g(f(x)), which means we need to substitute the expression for f(x) into the expression for g(x):

g(f(x)) = g(x² - 4)

Now, we can substitute the expression for g(x) into the above expression:

g(f(x)) = (x² - 4)² + 1

Expanding the squared term, we get:

g(f(x)) = x⁴ - 8x² + 17

Therefore, fog(x) = g(f(x)) = x⁴ - 8x² + 17.

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Complete question:

f(x) = x² - 4 and g(x)= x^2 + 1  find fog(x).

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

7:14=1:2

3:6=1:2

A U B = set of all elements that are in both A or B:

A U B = {2, 3, 4, 5, 6, 7}

Here is a picture to see our answer.

Answer:

Part A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair is

The total amount they both make from selling necklaces = 8·L + 8·A

Part B

The total amount they both make from selling jewelries = 35 + 8·L + 8·A

Step-by-step explanation:

The amount at which Liz and Andy sells necklaces = $8

The amount Andy makes selling bracelets = $35

Part A

The total amount of necklaces Liz sells = L

The total amount of necklaces Andy sells = A

The expression for the total amount of money Liz and Andy makes selling necklaces at the fair, 'N', is given as follows;

N = 8·L + 8·A

Part B

The expression for the total amount of money Liz and Andy makes selling jewelries at the fair, 'J', is given as follows;

J = 35 + 8·L + 8·A

Answer:

Practical Domain: 0 ≤ g ≤ 22

Practical Range: 0 ≤ C(g) ≤ 78.32

Step-by-step explanation:

The domain is the input of the function, usually, x, but it is g in this problem.

The input here is the number of gallons you can get. The tank holds a maximum of 22 gallons, so if the tank is already full, you will get 0 gallons. If the tank is completely empty, you can get up to 22 gallons. The domain is the values of the input of the function. Since the input is from 0 gallons to 22 gallons, we get this for the domain:

Practical Domain: 0 ≤ g ≤ 22

The range is the output of the function. Usually it is f(x), but in this problem it is C(g). When you input the number of gallons into the function, the output is the cost of that number of gallons. The domain is from 0 to 22 gallons. Now we use the function to find the cost of 0 gallons and the cost of 22 gallons.

Here is the function:

C(g) = 3.56g

What is the cost of 0 gallons? In this case, g = 0.

C(0) = 3.56(0) = 3.56 × 0 = 0

0 gallons cot 0 dollars, which makes sense.

What is the cost of 22 gallons, the greatest amount of fuel you can fit in the tank?

C(g) = 3.56g

Here, g = 22.

C(22) = 3.56(22) = 3.56 × 22 = 78.32

22 gallons cost 78.32 dollars.

The range of the function is from 0 dollars to 78.32 dollars.

Practical Range: 0 ≤ C(g) ≤ 78.32

The possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

The given parameters are

Area = 15 square cm

The area is given as

Area = 15 square cm

The formula of area is

Area = Length x Width

Using the above formula, we have:

A) 1 cm and 15 cm ⇒ 15 square cm

B) 2 cm and 7 cm ⇒ 14 square cm

C) 3 cm and 5 cm ⇒ 15 square cm

D) 4 cm and 4 cm ⇒ 16 square cm

Hence, the possible rectangle's length and width are A) 1 cm and 15 cm and C) 3 cm and 5 cm

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Possible question

The area of a rectangle is 15 square cm

Which of the following could be the rectangle's length and width?

(Area = length x width)

Choose all answers that apply:

A) 1 cm and 15 cm

B) 2 cm and 7 cm

C) 3 cm and 5 cm

D) 4 cm and 4 cm

Hope this helps, have a great day!!!

Answer:

Step-by-step explanation:

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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Answer:

D

Step-by-step explanation:

First found amount yielded

A = P(1+r)^nt

P is amount deposited 50,200

r is interest rate 13% = 13/100 = 0.13

t = 3

A = 50,200(1+0.13)^3

A = 50,200(1,13)^3

A = 72,433.42939999998

A is approximately 72,433.43

interest = A - P = 72,433.43-50,200 = 22,233.43= 22,233 to the nearest GHS

Answer: B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)

7.3 is the range

Step-by-step explanation:

The range of a set of data is the difference between the largest and smallest values.

The value of the range of the data is,

⇒ 7.3

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

We have to given that;

The data set is,

⇒ 4.8, 5.5, 4.2, 8.9, 3.4, 7.5, 1.6, 3.8

Since, We know that;

Difference between the highest and smallest value of the data set is called range.

Hence, We get;

The value of the range of the data is,

⇒ 8.9 - 1.6

⇒ 7.3

Thus, The value of the range of the data is,

⇒ 7.3

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Answer:

f(5)=13 g(8)=12 f(-8)= -26 g(-10)=-15

Step-by-step explanation:

1) 5*3=15

15-2=13

2) 8*.5*3=12

3) -8*3=-24

-24-2= -26

4) -10*.5*3= -15

For each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

Let's assume that x pounds of Guatemalan coffee are used per pound of the blend.

Given information:

Cost of Guatemalan coffee = $11/lb

Cost of the other coffee = $5/lb

Desired cost of the blend = $8/lb

Total weight of the blend = 6 pounds

To find the ratio of Guatemalan coffee to the total blend, we can set up the equation:

\((x \times 11 + (6 - x) \times 5) / 6 = 8\)

In this equation, \((x \times 11)\) represents the cost of the Guatemalan coffee in the blend, and\(((6 - x) \times 5)\) represents the cost of the other coffee in the blend.

The numerator is the total cost of the blend, and we divide it by 6 (the total weight of the blend) to find the cost per pound.

Now, let's solve the equation for x:

(11x + 30 - 5x) / 6 = 8

6x + 30 = 48

6x = 48 - 30

6x = 18

x = 18/6

x = 3

Therefore, for each pound of the blend, Cold Beans should use 3 pounds of Guatemalan coffee.

This means that in a 6-pound bag of the blend, they would use \(3 \times 6 = 18\)pounds of Guatemalan coffee.

To summarize, to achieve a cost of $8 per pound for a 6-pound bag of blend, Cold Beans should use 3 pounds of Guatemalan coffee per pound of the blend.

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