Solve 7x-6y=17 for y.​

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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Answer:

Step 2 is wrong. It's 16n-14. Not -16n+14.

Step-by-step explanation:

Do -16n+14, then add both sides.

16n=-14+18

16n+14n= -14n+18+14n

30n=18

30n/30 18/30

n=3/5

in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.

7.990, 7.800, 7.200, 7.141.

1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

Answer:

Item price now= 3.95

Step-by-step explanation:

To find out the price now, we will subtract 79 (original price) by 95% of 75. That will equal the discounted price. Finding the percentage of anything, we can use the formula, Total amount•percentage/100. The total amount is 79, and the percentage is 95. 79•95=7505, 7505/100=75.05. Now, 95% of 79 is 75.05, 79-75.05=3.95. $3.95 is the price now of the item. Though, I am unsure what a ALEKS calculator is. Have a nuce time, and joyful day

Answer:

x = 11

Step-by-step explanation:

13 - 3(x + 2) + 5x = 29

13 - 3x - 6 + 5x = 29

-3x + 5x + 13 - 6 = 29

2x + 7 = 29

     -7     -7

--------------------------------

2x = 22

/2     /2

--------------------------------

x = 11

The mass of 21,000 molecules of oxygen in scientific notation is expressed as 1.1151 x \(10^{-28}\) grams in the proper significant digits.

The number that is provided as digits is tried and established using significant figures. A meaningful representation of numbers is carried by these digits.

The crucial or important digits that can accurately represent the exact meaning of a certain number are known as the significant figures of that number.

Frequently, significant digits are employed in place of figures. By counting out each of the values beginning with the first non-zero digit on the left, we can use it to determine the number of significant digits.

The molecular mass of Oxygen is seen as 32 grams.

So, 6.023 x \(10^{23}\) molecules of oxygen have mass as 32 grams

So, one molecule of oxygen has mass = \(\frac{32}{6.023 * 10^{23}}\) grams

= 5.31 x \(10^{-23}\\\) grams

So, 21,000 molecules will have mass = 21,000 x 5.31 x \(10^{-23}\\\) grams

= 111510 x \(10^{-23}\\\) grams

= 1.1151 x \(10^{-28}\) grams

Thus 21000 molecules of oxygen have a mass of 1.1151 x \(10^{-28}\) grams.

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Answer:

See below

Step-by-step explanation:

1) The distribution is skewed left because the majority of the data lies in the left tail.

2) Given what we answered in #1, the mean is going to be the closest of the three measures of central tendency, with the median behind the mean, and the mode behind the median.

3) An outlier is a piece of data that is furthest away from of a set of observed data.

Answer:

a

 \(\frac{\alpha }{2} = 2.5 \%\)

b

  \(N = 25\)

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

      \(\frac{\alpha }{2} = \frac{0.05}{2} = 0.025 = 2.5 \%\)

=>    \(\frac{\alpha }{2} = 2.5 \%\)

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

      \(N = 1000 * \frac{\alpha }{2}\)

=>   \(N = 1000 * 0.025\)

=>   \(N = 25\)

Answer:

Step-by-step explanation:

Hey

To find the perimeter and area of the shaded part, we need to calculate the lengths of the curves involved.

a) Perimeter of the shaded part:

The length of the semicircle ADC is half the circumference of the circle with radius OA, which is half the length of AB.

Length of ADC = (1/2) * 2π * (AB/2) = π * (AB/2) = (22/7) * (56/2) = 22 * 28 cm = 616 cm

The length of the semicircle BCE is also equal to the length of ADC.

Length of BCE = Length of ADC = 616 cm

The length of the quadrant ADF is one-fourth the circumference of the circle with radius OA.

Length of ADF = (1/4) * 2π * (AB/2) = (1/4) * 2 * (22/7) * 28 = 22 cm

The length of the quadrant BEC is also equal to the length of ADF.

Length of BEC = Length of ADF = 22 cm

The length of the shaded part is the sum of the lengths of ADC, BCE, ADF, and BEC.

Perimeter of shaded part = ADC + BCE + ADF + BEC = 616 + 616 + 22 + 22 = 1276 cm

b) Area of the shaded part:

The area of the semicircle ADC is half the area of the circle with radius OA.

Area of ADC = (1/2) * π * (AB/2)^2 = (1/2) * (22/7) * (28/2)^2 = (22/7) * (14)^2 = 308 cm²

The area of the semicircle BCE is also equal to the area of ADC.

Area of BCE = Area of ADC = 308 cm²

The area of the quadrant ADF is one-fourth the area of the circle with radius OA.

Area of ADF = (1/4) * π * (AB/2)^2 = (1/4) * (22/7) * (28/2)^2 = (22/7) * (14)^2 = 154 cm²

The area of the quadrant BEC is also equal to the area of ADF.

Area of BEC = Area of ADF = 154 cm²

The area of the shaded part is the sum of the areas of ADC, BCE, ADF, and BEC.

Area of shaded part = ADC + BCE + ADF + BEC = 308 + 308 + 154 + 154 = 924 cm²

Therefore, the perimeter of the shaded part is 1276 cm, and the area of the shaded part is 924 cm².

Answer:

A.) $2.70

B.) $2.33

Step-by-step explanation:

Given that:

Smoothie is made from 3 different juice ;

1 cup of smoothie requires 1 pound combination of 3 different juices.

Cost of 1 pound of apple juice = $1

Cost of 1 pound of orange juice = $2

Cost of 1 pound of peach juice = $4

A.) What would be the price of the smoothie if Booster Juice makes the smoothie by combining 30% of apple juice, 20% orange juice and 50% of the peach juice.

30% of 1 pound apple juice :

(30/100) * $1 = $0.3

20% of 1 pound orange :

(20/100) * $2 = $0.4

50% of 1 pound peach :

(50/100) * $4 = $2

Hence, price of smoothie = $(0.3 + 0.4 + 2) = $2.70

b. What would be the price of the smoothie if the Booster Juice makes the smoothie by using all three equally.

If all three juice are used equally:

100% / 3 = 33.333% = 0.3333

0.3333 * $1 = $0.333

0.333 * $2 = $0.667

0.333 * $4 = $1.332

Hence, price of smoothie :

$(0.333 + 0.667 + 1.332) = $2.332

Answer:

\(\displaystyle{(f+g)(x)=3x^2+8x+7}\)

Step-by-step explanation:

Given both functions f(x) and g(x):

\(\displaystyle{f(x)=5x^2+8x}\\\\\displaystyle{g(x)=-2x^2+7}\)

Finding (f+g)(x), is the same as finding the sum of both functions, f(x) + g(x). Therefore:

\(\displaystyle{(f+g)(x) = f(x)+g(x)}\\\\\displaystyle{(f+g)(x)=(5x^2+8x)+(-2x^2+7)}\\\\\displaystyle{(f+g)(x)=5x^2+8x-2x^2+7}\\\\\displaystyle{(f+g)(x)=3x^2+8x+7}\)

Answer:

A) no solution

Step-by-step explanation:

It’s A Contradiction

Answer:

its one solution

Step-by-step explanation:

-20+12

The given statement is a reasonable probability model because it fulfills the 4 conditions of the binomial distribution.

How do we identify the binomial distribution model?

The conditions for binomial distribution are;

1: The number of observations must be fixed.

2: Each observation must be independent on its own.

3: Each observation must represent one of two outcomes (success/failure)

4: The probability of 'success' p must be the same for each outcome.

Now, we are given the statement;

An auto manufacturer chooses one car from each hour's production for a detailed quality inspection. One variable recorded is the count X finish defects (dimples, ripples, etc.) in the car's paint.

From that statement, we can tell that the number of observations is fixed as one random car is taken for the inspection.

Secondly, we can say that there could be a success in finding defects in the car.

Each car observation is independent.

The probability is the same for each outcome.

Thus, we conclude that since it fulfills all four conditions then it is a binomial model.

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Answer:

82028

Step-by-step explanation:

You could look at this and see that you could fit 156 boxes of fish food boxes onto the bottom row of the shipping box and that there are 13 rows in total so you multiply 156 by 13 to get 2028.

There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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Answer:

x = 0 —> y = 0 —> ( 0 , 0 )

x = 1 —> y = – 2 —> ( 1 , – 2 )

x = 5 —> y = – 10 —> ( 5 , – 10 )

x = -3 —> y = 6 —> ( -3 , 6 )

Step-by-step explanation:

x = 0 —> y = -2x = -2(0)=0

x = 1 —> y= -2x = -2(1) = -2

x = 5 —> y = -2x = -2(5) = -10

x = -3 —> y = -2x = -2(-3) = 6

I hope I helped you^_^

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The surface area of the base ball to the nearest whole number is 26 in²

A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of a sphere is expressed as;

SA = 4πr²

where r is the radius and it's calculated as;

C = 2πr

9 = 2πr

r = 4.5/π =

SA = 4 π × (4.5/π)²

SA = 81/π

SA = 26 in²( nearest whole number)

Therefore the surface area of the sphere is 26 in²

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Answer:

please look at detailed answers below

Step-by-step explanation:

example 1 is correct.

example 2:

x = (12 sin 15) / sin 75 = 3.22.

example 3:

x/sin 90 = 19/sin (180 - 90 -36)

x = (19 sin 90) / sin 54

= 23.5

example 4:

x/sin 53 = 7/sin (180 -90 - 53)

x = (7 sin 53)/ sin

= 9.29

After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.

Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.

Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.

Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.

Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.

Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.

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Answer:

Step-by-step explanation:

y = 4 - 2x

Answer:

A' (2,-3)

B' (5,-5)

C' (5,-2)

D' (7,-3)

Step-by-step explanation:

I used desmos graphing calculator to help me solve

Answer: The answers would be A= 2,-3  B= 5,-5   C=-5-2  and D= 7,-3

Answer:

There were 20 total questions.

Step-by-step explanation:

\(75\% = 0.75 = \frac{3}{4} \\ \frac{15}{ \frac{3}{4} } = \frac{15(4)}{3} = \frac{5 \times 3 \times 4}{3} = 5 \times 4 = 20\)

Answer:

The mean absolute deviation of this sample is 13.

Step-by-step explanation:

Mean absolute deviation is the sum of the absolute value of the differences between data values and the mean, divided by the sample size.

No, the cone and the cylinder can't have congruent heights and bases.

The volume of a cylinder of radius R and height H is:

V = pi*R^2*H

And for a cone of radius R and height H is:

V = pi*R^2*H/3

So, for the same dimensions R and H, the cone has 1/3 of the volume of the cylinder.

Here, the cylinder has a volume of 120cm³ and the cone a volume of 360cm³, so the cone has 3 times the volume of the cylinder.

This means that the measures must be different, so the cone and the cylinder can't have congruent heights and bases.

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The gross profit percentage this year for the company was 66.4%.

In the question, we are given that a consumer products company reported a 20 percent increase in sales from last year to this year. Sales last year were $190,000. This year, the company reported a Cost of Goods Sold in the amount of $137,028.

We are asked to find the gross profit percentage this year.

We know that the profit percentage is given as the product of the ratio of the profit to cost and 100.

Now, the profit is given as the difference between the total sales and the total cost.

The total sales this year are 20 percent more than the last year.

The sales last year are given as $190,000.

The increase in the sales = 20% of $190,000 = 0.20*$190,000 = $38,000.

Thus, the sales this year = $190,000 + $38,000 = $228,000.

The cost this year is given to be $137,028.

Thus, the profit this year = $228,000 - $137,028 = $90,972.

Thus, the gross profit percentage = $90,972/$137,028 * 100% = 66.4%.

Thus, the gross profit percentage this year for the company was 66.4%.

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Answer:

Step-by-step explanation:

4/4

8/6

4/6