find the surface area of a cylinder with the height of 10 inches and a base diameter of 6 in ​

Answer:

9r

Step-by-step explanation:

Answer:

2.5 feet

Step-by-step explanation:

20/8=2.5

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).

Answer:

just use Alexa

Step-by-step explanation:

hhhhhhhhjjjjjjjjjkj

Answer:

B is the answer I believe

a) The confidence level of 99% means that we are 99% sure that the interval contains the true population proportion.

b) The 99% confidence interval for the population proportion is given as follows: (0.3145, 0.4055). It means that we are 99% sure that the true population proportion is between 0.3145 and 0.4055.

c) The 95% confidence interval would be narrower, as it would have a lower critical value, thus the margin of error would also be lower.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(\pi = 0.36, n = 739\)

The lower bound of the interval is given as follows:

0.36 - 2.575 x sqrt(0.36 x 0.64/739) = 0.3145.

The upper bound of the interval is given as follows:

0.36 + 2.575 x sqrt(0.36 x 0.64/739) = 0.4055.

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Answer:

Step-by-step explanation:

Let's say our variable for the missing number is x

Four times a number minus 5 would be written as 4x-5

Three times the number plus nine would be written as  3x+9

So the equation would be written as \(4x-5=3x+9\)

To solve we add 5 to both sides

\(4x-5=3x+9\\+5=+5\)    

\(4x=3x+14\)

Now we subtract 3x from both sides

\(4x=3x+14\\-3x=-3x\)

\(x=14\)

To simplify \(5+ (7 - 2) +62 = 0\) we first get rid of the parentheses and rewrite the expression as \(5+7-2+62=0\)

You first add 5 + 7 = 12

Then subtract 12 - 2 = 10

Then add 10 + 62 = 72

So 72 = 0 which is false meaning there is no solution

Answer:

495,594

Step-by-step explanation:

1. Multiply Richmond's population by 80%. This gives you the number of people who have moved into the town since Wesley moved there.

275,330 x 80% = 220,264

2. Add this back to the original population. This gives you the new population.

275,330 + 220,264 = 495,594

3. The current population is 495,594

The amount of cups of lemonade sold by Abbie is 6 x 8 = a.

Hence, option A is correct.

Use the concept of multiplication defined as:

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that,

Number of lemonade cups sold by Lust = 8

Number of lemonade cups sold by Abbie =  6 times of lust

Let 'a' represents the number of cups sold by Abbie,

Therefore,

6 x 8 = a

Hence,

The correct expression is 6 x 8 = a which is option A.

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The complete question is:

Luct sold 8 cups of lemonade Abbie sold 6 times as many cups of lemonade. Which equation helps us find how many cups Abbie sold if the number of cups sold by Abbie is 'a'.

A. 6x8 = a

B. 8xa = 6

C. 6xa = 8

The formula ax + by = c for y = \(y = \frac{c}{b}- \frac{ax}{b}\).

Given formula:

ax + by = c

Subtract ax

from both sides of the equation.

by = c − ax

Now divide each term in by= c − ax by b and simplify.

Divide each term in by = c − ax by b.

\(\frac{by}{b} = \frac{c}{b} +\frac{-ax}{b}\)

Simplify the left side.

Cancel the common factor of b.

Cancel the common factor and divide y by 1.

\(y = \frac{c}{b} +\frac{-ax}{b}\)

Now Simplify the right side.

\(y = \frac{c}{b}- \frac{ax}{b}\)

Hence the answer is the formula ax + by = c for y = \(y = \frac{c}{b}- \frac{ax}{b}\).

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The domain is:

D: {-4, 5, 6, 8}

The range is:

R: {-4, 3, 5}

And yes, the relation is a function.

For a relation that maps elements x into elements y (in the form (x, y)), we define the domain as the set of the inputs (values of x) and the range as the set of the outputs (values of y).

Here our relation is defined by: {(6,3), (8,5), (-4,-4), (5,5)}

The domain is the set of the first values of each pair, so we have:

D: {-4, 5, 6, 8}

The range is the set of the second values of each pair:

R: {-4, 3, 5}

Now, is this a function?

Yes, it is a function, because each input is mapped into only one output.

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The mean population in the U.S. is 2,068,548.

The median population in the U.S. is 1,565,659.

There is no mode in the dataset.

The standard deviation of the populations for the top twelve largest cities in the U.S. is 2,279,894.12.

To find the mean population, we need to sum up all the populations and divide by the total number of cities.

Mean = EF / n

Mean = 8,336,817 + 979,576 + 2,693,976 + 2,320,268 + 1,680,992 + 1,584,064 + 1,547,253 + 1,423,851 + 1,343,573 + 1,021,795 + 978,908 + 911,507

Mean = 24, 822,580 / 12

Mean =  2068548.33333

Mean =  2,068,548

Arranging populations in ascending order:

\(911,507, 978,908, 1,021,795, 1,343,573, 1,423,851, 1,547,253, \\1,584,064, 1,680,992, 2,320,268, 2,693,976, 8,336,817, 979,576\)

Median population = (1,547,253 + 1,584,064) / 2

Median population = 1,565,658.50.

The mode represents the value(s) that appear most frequently in the dataset. In this case, there is no single mode as each population value occurs only once. Therefore, we can say that there is no mode in the dataset of the top twelve largest cities in the U.S.

Standard Deviation:

\(\sqrt{(8,336,817 - 1,574,232)^2 + (979,576 - 1,574,232)^2 + (911,507 - 1,574,232)^2) / 12}\\\\\)

\(= \sqrt{62,333,273,003,930 / 12}\\= \sqrt{5,194,439,417,828.33} \\\\= 2,279,894.12\)

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Using the together rate, it is found that it will take them 18 minutes to prepare the cards working together.

The together rate is the sum of each separate rate.

In this problem:

Hence, the time it will take for them to make the cards is given by:

\(\frac{1}{x} = \frac{1}{45} + \frac{1}{30}\)

\(\frac{1}{x} = \frac{5}{90}\)

5x = 90

x = 18 minutes.

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(a) The average cost in 2011 is  

(b) A graph of the function g for the period 2006 to 2015 is shown below.

(c) Assuming that the graph remains accurate, its shape suggest that the average cost increases at a slower rate as time goes on.

Based on the information provided, we can logically deduce that the average annual cost (in dollars) for health insurance in this country can be approximately represented by the following function:

g(x) = -1736.7 + 1661.6Inx

where:

x = 6 corresponds to the year 2006.

For the year 2011, the average cost (in dollars) is given by;

x = (2011 - 2006) + 6

x = 5 + 6

x = 11 years.

Next, we would substitute 11 for x in the function:

g(11) = -1736.7 + 1661.6In(11)

g(11) = $2247.64

Part b.

In order to plot the graph of this function, we would make use of an online graphing tool. Additionally, the years would be plotted on the x-axis while the average annual cost would be plotted on the x-axis of the cartesian coordinate as shown below.

Part c.

Assuming the graph remains accurate, the shape of the graph suggest that the average cost of health insurance increases at a slower rate as time goes on.

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Complete Question:

The average annual cost (in dollars) for health insurance in a country can be approximated by the function g(x) = -1736.7 + 1661.6Inx, where x = 6 corresponds to the year 2006.

(a) Estimate the average cost in 2011.

(b) Graph the function g for the period 2006 to 2015

(c) Assuming that the graph remains accurate, what does the shape of the graph suggest regarding the average cost of health insurance?

Answer:

1

Step-by-step explanation:

The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2.  If you look at a graph of

y = sin(x) you can see this.  

Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.

Step-by-step explanation:

Property of Sine function:

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Answer:

Answer 1008

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

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The first 4 terms of given recursive formulas will be as follows

The recursive expression provides two pieces of information:

the first term in the sequence.

the pattern rule that takes each term from the previous term.

As we have G(1) = 18, G(n) = 2 · G(n − 1).

It's A geometric sequence with r as 2

∴ G(2) = 2 · G(2 − 1) = 2 · G(1) = 2(18) = 36.

∴ G(3) = 2 · G(3 − 1) = 2 · G(2) = 2(36) = 72.

∴ G(4) = 2 · G(4 − 1) = 2 · G(3) = 2(72) = 144.

As we have H(1) = 3, H(n) = 5 · H(n − 1).

It's A geometric sequence with r as 5

H(2) = 5 · H(2 − 1) = 5 . H(1) = 5(3) = 15.

H(3) = 5 · H(3 − 1) = 5 . H(2) = 5(15) = 75.

H(4) = 5 · H(4 − 1) = 5 . H(3) = 5(75) = 325.

As we have J(1) = 3, J(n) = J(n − 1) + 5

It's an arithmetic sequence with d as 5

J(2) = J(2 − 1) + 5 = J(1) + 5 = 3+5 = 8.

J(3) = J(3 − 1) + 5 = J(2) + 5 = 8+5 = 13.

J(4) = J(4 − 1) + 5 = J(3) + 5 = 13+5 = 18.

As we have M(1) = 3, M(n) = 2 · M(n − 1)

It's A geometric sequence with r as 2

M(2) = 2 · M(2 − 1) = 2 · M(1) = 2(3) = 6.

M(3) = 2 · M(3 - 1) = 2 · M(2) = 2(6) = 12.

M(4) = 2 · M(4 - 1) = 2 · M(3) = 2(12) = 24.

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Answer:

These equations cannot be simplified anymore than what they are. Unless there is a certain way the teacher want it.

Step-by-step explanation:

Answer:

84$

Step-by-step explanation:

1. 20% of 70  

0.20x70 = 14

2. Markup then add

70 + 14 = 84$

The final answer is (f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

To find the composite functions (f o g)(x) and (g o f)(x), we need to substitute one function into the other.

(f o g)(x):

To find (f o g)(x), we substitute g(x) into f(x):

(f o g)(x) = f(g(x))

Let's substitute g(x) = x^2 - 8 into f(x) = x^2 + 8:

(f o g)(x) = f(g(x)) = f(x^2 - 8)

Now we replace x in f(x^2 - 8) with x^2 - 8:

(f o g)(x) = (x^2 - 8)^2 + 8

Simplifying further:

(f o g)(x) = x^4 - 16x^2 + 64 + 8

(f o g)(x) = x^4 - 16x^2 + 72

Therefore, (f o g)(x) = x^4 - 16x^2 + 72.

(g o f)(x):

To find (g o f)(x), we substitute f(x) into g(x):

(g o f)(x) = g(f(x))

Let's substitute f(x) = x^2 + 8 into g(x) = x^2 - 8:

(g o f)(x) = g(f(x)) = g(x^2 + 8)

Now we replace x in g(x^2 + 8) with x^2 + 8:

(g o f)(x) = (x^2 + 8)^2 - 8

Simplifying further:

(g o f)(x) = x^4 + 16x^2 + 64 - 8

(g o f)(x) = x^4 + 16x^2 + 56

Therefore, (g o f)(x) = x^4 + 16x^2 + 56.

(f o g)(2):

To find (f o g)(2), we substitute x = 2 into the expression (f o g)(x) = x^4 - 16x^2 + 72:

(f o g)(2) = 2^4 - 16(2)^2 + 72

(f o g)(2) = 16 - 64 + 72

(f o g)(2) = 24

Therefore, (f o g)(2) = 24.

In summary:

(f o g)(x) = x^4 - 16x^2 + 72

(g o f)(x) = x^4 + 16x^2 + 56

(f o g)(2) = 24

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Answer: 150% can be written as a fraction as 3/2 or a mixed number as 1 1/2.

Step-by-step explanation: The fraction form is obtained by dividing 150 by 100 and simplifying the fraction to its simplest form.

Answer:

Surface area of the right triangular prism = 180 m²

Step-by-step explanation:

Surface area of the given right triangular prism = Surface area of triangular sides + Surface area of the rectangular surfaces

Surface area of the triangular sides = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                                           = \(\frac{1}{2}(AB)(AC)\)

By applying Pythagoras theorem in ΔABC,

BC² = AB² + AC²

(13)² = 5² + (AC)²

AC² = 169 - 25

AC = 12 m

Therefore, area of the triangular sides = \(\frac{1}{2}(5)(12)\) = 30 m²

Area of the rectangular side with dimensions 5m × 4m,

= 5 × 4

= 20 m²

Area of the rectangular side with dimensions 13m × 4m

= 13 × 4

= 52 m²

Area of the rectangular side with dimensions 12m × 4m

= 12 × 4

= 48 m²

Total surface area of the prism = 2(30) + 20 + 52 + 48

= 180 m²

Answer:

24 miles

Step-by-step explanation:

The area of a circle is given by: A = (pi)(r^2)

The problem gives the area as: 1,808.64 sq. mi.

So, (pi)(r^2) = 1,808.64 Solve for r. Divide both sides by pi (3.14)

r^2 = 1.808.64/3.14

r^2 = 576 Take the square root of both sides.

r = 24 Miles.

Answer:

23.99 miles

Step-by-step explanation:

The area of a circle is denoted by A = πr², where r is the radius.

Here, we know the circular area is A = 1808.64 square miles, so plug this into the formula to find r:

A = πr²

1808.64 = πr²

r² = 1808.64 / π ≈ 575.71

r = √575.71 ≈ 23.99 miles

The answer is thus 23.99 miles.

~ an aesthetics lover

Answer:

The 3rd one should be right

Step-by-step explanation:

I hope that helps

The function notation f(-5) has a value of -6

From the question, we have the function definition to be f(-5)

Also, we have the graphs to be f(x) and g(x)

The equation of the first graph is illustrated by the blue curve f(x), while the second is illustrated by the red curve

Because the function is f(x), we make use the blue curve

On the blue curve, we have

f(-5) = -6

The interpretation of the above equation is that

When x = -5, the blue curve has a value of -6

This means that the function f(-5) has a value of -6

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Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

the first one

The number line which can be used to find the distance between (4, -1) and (8,-1) is 1

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

Given the points;

(x1, y1) = (4, -1)

(x2, y2) = (8, -1)

Here, we have the same values of y for both points.

This means that the line that contains both points is a horizontal line.

To find the distance, apply the formula:

\(d= \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }\)

Since they have the same y values, the number line to represent the distance between both points must have the points 4 and 8;

Hence, we have;

 \(d= \sqrt{(8-4)^{2}+(-1+1)^{2} }\)

   \(d= \sqrt{4^{2} + 0^{2} }\)

     d= 4

The distance between both points is 4;

Therefore, the number line that can be used to find the distance between both points is the number line in option A.

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The function of reflect x-axis is g(x) =  -(1/2)*x - 8, according to the question.

What do you mean by function?

A function in mathematics from a set X to a set Y assigns exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

According to the given question,

First, let's define a reflection over the x-axis.

If we have a point (x, y) and we reflect it over the x-axis, our new point will be (x, -y).

Now, when we have a function

f(x) = y, the points can be written as:

(x, y = f(x) ) = (x, f(x))

Then, after the reflection over the x-axis, we have:

(x, y = g(x)) = (x, -f(x))

So now we have g(x) = -f(x)

and we know that f(x) = (1/2)*x + 8

then our new function is g(x) =  y = -f(x) = -( (1/2)*x + 8) = -(1/2)*x - 8.

g(x) =  -(1/2)*x - 8.

Therefore, the required answer is g(x) =  -(1/2)*x - 8.

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