5x [(11-3) - (13-9)]

Answer:

x^2 + 6x + 8

Step-by-step explanation:

area of blue = x^2

area of pink= 2x

area of green=4x

area of brown=8

Adding all the area.

we get : x^2 + 6x +8

Answer:

\((f-g)(x)=-x^{2}+2x+8\)

Step-by-step explanation:

\(\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)\)

                \(=2x+1-\left( x^{2}-7\right)\)

                \(=2x+1-x^{2}+7\)

                \(=-x^{2}+2x+8\)

Answer:

To indicate that we want both the positive and the negative square root of a radicand

Answer:

Because a negative number times a negative number has a positive answer

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

25 divided by 5 = 5

Convert to decimal

0.20

Convert to percentage

20%

Answer:

20%

Step-by-step explanation:

25 divided by 5=5

convert to decimal

0.20

convert to percentage

20%

Answer:

  32.4 inches

Step-by-step explanation:

Sam wants the increase to be 8% of 30 inches.

The amount of increase Sam wants in his waist size is ...

  8% × 30 in = 0.08×30 in = 2.4 in

Adding the wanted increase to his present size would make Sam's waist size be ...

  30 in + 2.4 in = 32.4 in

Sam wants his waist size to be 32.4 inches.

__

Additional comment

The larger size can also be computed from ...

  30 +8%×30 = (1 +8%)×30 = 1.08×30 = 32.4 . . . inches

Answer:Explanation: The formula for the equation of a circle is (x – h)2+ (y – k)2 = r2, where (h, k) represents the coordinates of the center of the circle, and r represents the radius of the circle. If a circle is tangent to the x-axis at (3,0), this means it touches the x-axis at that point.

Step-by-step explanation:

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

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

The circle has a center located at (2, 5) and passes through the point (10, 3), hence:

\(Radius=\sqrt{(3-5)^2+(10-2)^2}=8.25\)

The equation of the circle is:

(x-2)² + (y-5)² = 8.25²

(x - 2)² + (y - 5)² = 68

The circle equation has a center located at (2, 5) and passes through the point (10, 3) is (x - 2)² + (y - 5)² = 68

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Answer:

34

Step-by-step explanation:

Answer:

Step-by-step explanation:                  180 bagels

The unit rate, in bagels per hour, is ---------------------- = 36 bagels/hour

                                                                 5 hours

In 22 hours, the bakery can bake (36 bagels/hour)(22 hours) = 792 bagels

The system of equations that could be used to determine the cost of 1 piece of fudge, f, and 1 piece of bubble gum , g is:

5f + 3g = 5.70

2f + 10g = 3.60

Chase bought 5 pieces of fudge and 3 pieces of bubble gum for $5.70:

5f + 3g = 5.70

Sara bought 2 pieces of fudge and 10 pieces of bubble gum for $3.60:

2f + 10g = 3.60

System of equations:

5f + 3g = 5.70

2f + 10g = 3.60

From the first equation:

5f + 3g = 5.70

5f = 5.70 - 3g

f = 5.7/5 - 3/5g

f = 1.14 - 0.6g

Replacing "f" in the second equation:

2f + 10g = 3.60

2(1.14 - 0.6g) + 10g = 3.6

2.28 - 1.2g + 10g = 3.6

8.8g = 3.6 - 2.28

8.8g = 1.32

g = 0.15

Replacing "g" in the first equation:

5f + 3g = 5.70

5f + 3(0.15) = 5.7

5f + 0.45 = 5.7

5f = 5.7 - 0.45

5f = 5.25

f = 5.25 / 5

f = 1.05

Fudge cost $1.05 and Bubble Gum cost $0.15

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The two ants could be 32 metres apart. This is because the diagonal length of the room is the square root of the sum of the squares of the length, width and height, which is 18.7 m.

The two ants could be 32 metres apart. This is because the room is cuboid-shaped and has a length of 16 m, a width of 11 m and a height of 4 m. The diagonal length of the room is the square root of the sum of the squares of the length, width and height, which is 18.7 m. This means that the two ants could be 18.7 m apart in each of the two directions, giving a total distance of 37.4 m. Since the room is cuboid-shaped, however, the furthest the two ants could be is 32 m. This is because the longest distance between any two points in a cuboid is the diagonal length of the cuboid, which in this case is 18.7 m. In other words, the two ants could not be more than 18.7 m apart in any one direction, giving a total distance of 37.4 m. However, since the room is cuboid-shaped, the furthest the two ants could be is 32 m.

Length of the room (l) = 16 m

Width of the room (w) = 11 m

Height of the room (h) = 4 m

Diagonal length of the room (d) = √\((l^2 + w^2 + h^2)\) = √(16^2 + 11^2 + 4^2)\((16^2 + 11^2 + 4^2)\) = √453 = 18.7 m

The two ants could be 18.7 m apart in each of the two directions, giving a total distance of 37.4 m.

However, since the room is cuboid-shaped, the longest distance between any two points in the room is its diagonal length, which is 18.7 m.

Therefore, the furthest the two ants could be is 18.7 m, which occurs when they are positioned at opposite corners of the room.

The maximum distance between the two ants is the diagonal length of a face of the cuboid, which is √\((l^2 + w^2)\) = √\((16^2 + 11^2)\) = √377 = 19.4 m

Therefore, the maximum distance between the two ants is 2 * 19.4 = 38.8 m, which is greater than the diagonal length of the room, but it is not physically possible since it would require the ants to be positioned outside the boundaries of the room.

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Answer:

8.5 inches

Step-by-step explanation:

7^2 + b^2 = 11^2

b^2 = 72

hence b = 8.5

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

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Step-by-step explanation:

- x + 17 = 45

- x = 45 - 17

- x = 28

x = - 28

Hope it helped.

Answer:

x = -28

Step-by-step explanation:

Subtract the 17 from both sides to get -x = 28

Divide both sides by negative one to isolate the x and get x = -28

Angle DFE=30 -Vertically Opposite Angle

DFE=FDE=30 -Base angles of an isosceles triangle

y+x+30=180 -sum of angles of a triangle

y+30+30=180

y+60=180

y=180-60

y=120

Answer:

B

Step-by-step explanation:

Answer:

the third answer

5+18 *dont know if that 8 or 5 sorry*

Step-by-step explanation:

Step-by-step explanation:

all I know is the answer and it's c

Answer:

(1,2), (2,4), (5,10), (8,16)

Step-by-step explanation:

For the time, the number it land on that would be you x axis and the distance would be your y axis

Answer:

The answer is A

Step-by-step explanation:

Count all the x's. They add up to 8.

Hope this helped.

Answer:

A. There were 8 people who rode in the bicycle race.

Step-by-step explanation:

The line plot in the picture shows the distance in miles raced by Sophie's friends.

It's required to select one of the following options:

A. There were 8 people who rode in the bicycle race.

Since each x represents one person, and there are 8 x's, this statement is true.

B. More people rode 3/4 of a mile than 1/4 of a mile. There is only one x in 3/4 and 3 x's in 1/4. This is false

C. This option is false also, there were 5 people who rode 1/4 of a mile or 2/4 of a mile.

D. There were 2 people who rode 1 mile. False

The first shape is 6 inches per side. 5 sides x 6 inches. Thats 30 inches in total. Shape two has 6 sides. They're 5 inches. Thats also 30 inches. These shapes are the exact same.

5x6=6x5

Answer:

x = 2/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

5x = 2

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 2 does indeed equal 2.

∴ x = 2/5 is the solution to the equation.

Answer:

78

Step-by-step explanation:

Answer:

i need a photo

Step-by-step explanation:

Answer:

Maurico started with more :)

Step-by-step explanation:

Mariah started with 150 while Maurico started with around 190 so he has more to start with :)

Have a great day!

Please rate and mark brainliest!

Answer:

Mauricio

Step-by-step explanation:

To find who started with more money in their savings account, we want to observe the savings in $ when time=0 years

So by looking at the table of Mariah's savings, we see that when t=0 she had S=150$

By looking at the graph which describes Muaricio's savings as a function of time, we can see that when time=0 or x=0, y=S=190$

In other words, the y-intercept is the initial amount of savings.

190>150

:P

Hope this helps, it would be appreciated if you made me brainliest.

a. The sampling method that I would use for the given scenario is stratified random sampling.

b. The sampling method that I would use for the given scenario is systematic sampling.

Stratified random sampling is the most effective way to get accurate results in this situation. The university wants to conduct a mail survey of its alumni to collect information about their current employment status to justify charging a higher tuition rate than other universities. Stratified random sampling divides the population into strata based on certain characteristics.

In this case, strata would be the alumni that have different degrees from the university. The information collected through this method will be more representative of the population than simple random sampling. It ensures that each stratum is represented accurately in the sample. It also minimizes the variability within each stratum. It is an effective way of ensuring that each stratum is properly represented.  

Systematic sampling involves selecting every kth element from a list of the population. In this situation, the Environmental Protection Agency (EPA) wants to inspect a sample of 1000 containers from the 40,000 containers known to be in landfills to determine if leakage from the containers has occurred. As the exact location of the containers is no longer known, systematic sampling can be used.

EPA can select every 40th container from the list of the population, as 40,000/1000 = 40. In this way, they will have a random sample of 1000 containers from the 40,000 containers. This sampling method is less time-consuming and more cost-effective than other sampling methods. It also ensures the sample is representative of the entire population.

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Answer:22.96 u just divide 28/82

Step-by-step explanation:

Answer:

Step-by-step explanation:

The main answer to the question is: None of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative. The explanation to support the answer is given below:

Normal distribution is a statistical distribution that depicts how values are dispersed in a dataset. It is also known as Gaussian distribution or bell curve because of its bell-shaped pattern. It is described by two parameters, i.e., mean and standard deviation.The mean of a normal distribution specifies the location of the center of the distribution. The variance of a normal distribution indicates the amount of variation from the mean. Variance is always positive, no matter whether the mean is positive or negative.

Therefore, if the mean of a normal distribution is negative, the variance must not be negative.Hence, none of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative.

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To calculate inflation, the following equation is given

where i represents the inflation rate(in decimals), p1 the starting value of the house, p2 the value of the house after a amount of n years.

If we use this equation for a house with a current cost of $224,200 and an inflation of 2.37%, we're going to have

To calculate the how much the house will be worth in 2 years, we substitute n for 2 and solve for p2.

Step-by-step explanation:

its83

(a+b)^2=a^2+2ab+b^2

x^2+(-9)2x-2=0

b^2=81

83+(-2)=81