Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent. Percent increase ≈ %

A. For any number of monthly calls "x" greater than 200, Plan 1 is more economical than Plan 2.

The answer to part a means that if a customer expects to make more than 200 local calls per month, it is more economical for them to choose Plan 1 over Plan 2. For example, if a customer makes 250 local calls per month, Plan 1 would cost $28 while Plan 2 would cost $20 ($12 + $0.08 x 250), so Plan 1 would be the better choice for them. However, if a customer expects to make fewer than 200 local calls per month, then Plan 2 would be more economical for them, as they would pay less than $28 per month.

The break-even point is the number of monthly calls for which the total cost of Plan 1 is equal to the total cost of Plan 2.

This occurs when the inequality $16 < $0.08x is satisfied, which simplifies to 200 < x.

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Item response theory is to latent trait theory as observer reliability is to inter-scorer reliability.

Reliability in a broad statistical sense is synonymous with consistency.

Item response theory (IRT) is a statistical framework used to model the relationship between the latent trait being measured and the observed responses to test items. It provides a way to estimate an individual's level on the latent trait based on their item responses.

The Observer reliability also known as inter-scorer reliability, is a measure of consistency or agreement among different observers or scorers when assessing or rating a particular phenomenon.

Both measures are concerned with the reliability or consistency of measurements but in different contexts and with different focal points.

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Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

Answer:

it is 8

Step-by-step explanation:

you times 2 by 4 and get 8 cubed

Answer:

I hope this helps!!!!!!

Step-by-step explanation:

8 cubed inches!

Have an amazing day!

Answer:

  5

Step-by-step explanation:

You have more than 1 each of 3- and 4-legged tables that have a total of 23 legs, and you want to know the number of 3-legged tables.

Let t and f represent the numbers of three- and four-legged tables respectively. Then we require ...

  3t +4f = 23 . . . . and t > 1, f > 1

The value 23 is clearly 5·4 +1·3, so we have one solution (t, f) = (1, 5). Increasing the number of 3-legged tables by 4 and decreasing the number of 4-legged tables by 3 will leave the number of legs unchanged. Then for some 'n', we have ...

  t = 1 +4n

  f = 5 -3n

The only solution that has t > 1 and f > 1 is the one for n=1:

  t = 1 +4·1 = 5 . . . . a total of 15 legs

  f = 5 -3·1 = 2 . . . . a total of 8 legs, making 23 when added to 15.

There are 5 three-legged tables.

__

Additional comment

There are formal methods for finding integer solutions to equations of the kind we wrote here. For this problem, it isn't necessary to go to that trouble, as we can "guess" a solution quickly.

A graphing calculator can also be helpful for finding solutions to the equation. This is shown in the attachment. The black points mark the "floor" values of the variables of interest (x=t, y=f).

The number of different ways the race can be completed is 7! = 5040.Therefore, the number of different ways the race can be completed is 5040 words.

In a 10K race with 7 runners, there are different ways in which the race can be completed. We need to find the number of ways. We can use the permutation formula to find the number of different ways of arranging 7 runners in a race. The permutation formula is given by:P(n,r) = n! / (n-r)!where n is the total number of items and r is the number of items to be selected. In this case, n = 7 and r = 7 since all the 7 runners are participating in the race.P(7,7) = 7! / (7-7)!P(7,7) = 7! / 0!P(7,7) = 7! / 1P(7,7) = 7!Therefore, the number of different ways the race can be completed is 7! = 5040.Therefore, the number of different ways the race can be completed is 5040 words.

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The annual appreciation of the coin from 1968 to 2019 was 6.7%. Hence the coin appreciated at a rate of 6.7% per year from 1968 to 2019.

In 2019, a coin was sold at auction for $4,120,500. The coin had a face value of $20 when it was first issued in 1786. The coin had been previously sold for $395,000 in 1968. At what price did the coin appreciate annually from 1968 to 2019? Solution:We can start this problem by using the compound interest formula which is given as follows;A = P (1+r/n)^(nt)Where:A is the future value of the investment;P is the principal investment;r is the annual interest rate;n is the number of times that interest is compounded per year;t is the number of years the money is invested.To solve the problem we will consider the following;We will use the initial price of the coin which was sold in 1968 which is $395,000 as the principal investment, PWe will use the price of the coin sold at auction in 2019 which is $4,120,500 as the future value of the investment, AWe will use the number of years between 1968 and 2019 which is 51 years as t.The interest rate is not given, but we can solve for it by substituting the known values into the formula as shown below;A = P (1+r/n)^(nt)=> 4,120,500 = 395,000 (1+r/1)^(1 x 51)=> (1+r) = (4,120,500/395,000)^(1/51)=> (1+r) = 1.067=> r = 1.067 - 1=> r = 0.067 = 6.7%Therefore the annual appreciation of the coin from 1968 to 2019 was 6.7%. Hence the coin appreciated at a rate of 6.7% per year from 1968 to 2019.



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The perimeter of the triangle is 170 inches.

To solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:

sin(35°) = 46/x

x = 46/sin(35°) = 65 inches

Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:

cos(35°) = 65/x

x = 65/cos(35°) = 75 inches

The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:

P = 65 + 75 + 30

= 170 inches

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A telescoping series is a series where most of the terms cancel out, leaving only a few terms that cannot be simplified.

The name "telescoping" comes from the idea that if you align the terms of the series, they resemble the tubes of a telescope, with most of the terms "collapsing" or "canceling out" like a collapsing telescope leaving only a few terms at the beginning and end of the series.

Telescoping series are often used in calculus to evaluate infinite series, as the cancellation of terms makes the computation much easier. In order to evaluate a telescoping series, it is often necessary to rewrite the terms in a way that allows for the cancellation of terms.

We can rewrite the given series as:

∑[infinity]n=3(1√n−1√n+2) = [(1/√2) - (1/√3)] + [(1/√3) - (1/√4)] + [(1/√4) - (1/√5)] + ...

Notice that most of the terms cancel out, leaving only the first and last terms:

[(1/√2) - (1/√3)] + [(1/√3) - (1/√4)] + [(1/√4) - (1/√5)] + ...

= (1/√2) - (1/√5)

Therefore, the sum of the telescoping series is:

(1/√2) - (1/√5) = (√5 - √2)/(√10)

So the answer is (√5 - √2)/(√10).

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Answer:\(\sqrt{5x\)

Step-by-step explanation:

Answer:

Lets say we have (-1)^(1.5)

Step-by-step explanation:

(-1)^(1.5) = (-1)^(3/2)

= (√(-1))^3 which has no solution in the real number field, as √(-1) does not exist.

In the complex number field √(-1) = i, and (-1)^(1.5) = i^3 = -i.

The intervals of concavity for f(x) = 3 cos x, with 0 < x < 21, are (0, π/2) and (3π/2, 2π).

To find the intervals of concavity for f(x) = 3 cos x, we need to analyze the second derivative of the function.

First, let's find the second derivative of f(x):

f'(x) = -3 sin x (derivative of cos x)

f''(x) = -3 cos x (derivative of -3 sin x)

Now, we can analyze the concavity of f(x) by considering the sign of the second derivative:

When x ∈ (0, π/2): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

When x ∈ (π/2, 3π/2): In this interval, cos x < 0, so f''(x) > 0. The second derivative is positive, indicating concavity upwards.

When x ∈ (3π/2, 2π): In this interval, cos x > 0, so f''(x) < 0. The second derivative is negative, indicating concavity downwards.

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Answer:

a. -11, 97, 6, 87

b. he didn't get over it

Step-by-step explanation:

a. The table shows you the grade in the upper row and in the lower row difference between upper row and 90. So to calculate lower row you need to do X-90 where X is upper row value. To calculate upper row you need to do X+90 where X is lower row value

so you get column 3:

79-90=-11

column 4:

90+7=97

column 5:

96-90=6

column 6:

-3+90=90-3=87

b. To answer this question we would need to simply sum all the values from the Above/Below row for all 6 columns:

-7+4+(-11)+7+6+(-3)= -7+4-11+7+6-3=-4. Since the value is negative it means it's below 90

Given:

A boat moving at a constant rate will travel 26 miles in 2 hours.

To find:

The distance that will the boat travel in 5 hours.

Solution:

It is given that,

The distance traveled by the boat in 2 hours = 26 miles

The distance traveled by the boat in 1 hour = \(\dfrac{26}{2}\) miles

                                                                        = \(13\) miles

The distance traveled by the boat in 5 hour = \(5\times 13\) miles

                                                                         = \(65\) miles

Therefore, the boat will travel 65 miles in 5 hours.

Answer:

Ants and by roughly 118,615,000mg greater.

Step-by-step explanation:

According to a quick online search, a regular house fly weighs on average 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Flies: 3,990,000 * 11.5mg = 45,885,000mg

Ants: 47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we can clearly see that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

The ants and by roughly 118,615,000mg greater.

We have given that,$3.99$ million flies or $47,000,000$ ants have a greater mass

A regular house fly weighs on average weighs on 11.5mg while an ant weighs on average 3.5mg. Now that we have the average weight of each we can multiply this number by the quantity of each to find the approximate total weight.

Therfore we can write it as,

Flies: 3,990,000 × 11.5mg = 45,885,000mg

Therefore we get the files mass 45885000mg

For Ants,

47,000,000 * 3.5mg = 164,500,000mg

Therefore, based on this calculation we  clear that the 47 million ants will have a greater mass and this mass would be approximately

164,500,000 - 45,885,000= 118,615,000mg greater

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The equivalent under modulus 7 of 139 and 450 is not same. A modulus is the whole-number remainder in a division equation. It can be calculated using the modulo operation. It helps determine whether or not a given integer is odd or even. Therefore, we can solve this problem by utilizing the modulo function.

Modulus refers to the process of converting a decimal number into a whole number. It is used to determine if a number is even or odd by looking at the last digit. If the last digit is even, the number is even. If the last digit is odd, the number is odd. The remainder after division is the modulus.

The symbol for modulus is % .To see if 139 and 450 are equivalent under modulus 7 or not, we will do the following:

We'll convert 139 to its remainder under modulus 7 using the modulo function.

139 % 7 = 4

We'll convert 450 to its remainder under modulus 7 using the modulo function.

450 % 7 = 3

Now, since both remainders are not the same, we can say that 139 and 450 are not equivalent under modulus 7.

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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The z-score of an appliance that failed after 64 months is 2.

To find the z-score:

The given parameters are:

The z-score is then computed as follows:

We have the following for an appliance that stopped working after 64 months:

So, the equation becomes:

Compare and contrast the differences:

Calculate the quotient:

Therefore, the z-score of an appliance that failed after 64 months is 2.

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Ight Imma head out because I have no idea what you're saying

Answer:

My answer to the question is 2t÷13.

Answer:

\(\Huge \boxed{\frac{2t}{13} }\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

The number t is doubled.

\(\Rightarrow t *2\)

\(\Rightarrow 2t\)

Quotient is the result after dividing two or more values.

\(\Rightarrow \displaystyle \frac{2t}{13}\)

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

By using the Formula:

Areatriangle=10*5/2=25

Areasquare=5*5=25

Total Area is: 25+25=50

It will be nice if you give me brainliest.Good luck!

Answer:

50cm²

Step-by-step explanation:

Square- length x breadth

           =5cmx 5cm

           =25cm²

Triangle- ¹/₂ x base x perpendicular height

            = ¹/₂x 5cm x 10cm

            =25cm²

Square-   25cm²

Triangle-+25cm²

total area- 50 cm²

I hope it helps

Thank U

Answer:

d: x less than -12

Step-by-step explanation:

negative times negative equals positive so 12 x 3 equals 36 + 12 = 48. Your welcome (pls give brainliest)

The area of isoceles triangle is  120 square meters

Let us assume that a and c represents the equal sides of isosceles triangle and b represents the base of isosceles triangle such that a = 17 m, b = 16 m and c = 17 m

Let us assume that h represents the height of isosceles triangle.

We know that the formula for the height of isosceles triangle.

h = \(\sqrt{a^2-\frac{b^2}{4} }\)

h = \(\sqrt{17^2-\frac{16^2}{4} }\)

h = √(225)

h = 15 m

Using the formula for the area of isosceles triangle,

A = 1/2 × base × height

A =  1/2 × b × h

A =  1/2 × 16 × 15

A = 120 sq. m.

Therefore, the required area is  120 sq. m.

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The complete question is:

The sides of isosceles triangle triangle are: 17 m, 17 m and 16 m

Find the area of the isoceles triangle. The area is square meters.

Answer:

screenshot your work so i can see the choices below

Step-by-step explanation:

The solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given system of equation is;

y = 2/3 x + 3     ----------- (1)

x= -2                 ----------- (2)

The value of x has been given in the second equation.

Now, we need to determine the value of y

From the second equation, we have that;

x = -2

Now Substitute the value of x into the first equation,

y = 2/3 x + 3

y = 2/3 (-2) + 3

y = -4/3  + 3

y = 5/3

Hence, the solution to the given system of equations will be x = -2, y = 5/3. That is (-2, 5/3)

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Answer:

2400

Step-by-step explanation:

A= length x width

A=40x20

A=2400

Answer:

800

Step-by-step explanation:

40 times 20=800

1.92 divided 3 is 0.64

Answer = 0.64

Hope this helps!

Stay safe!

Hey there! I'm happy to help!

To find the x value of the midpoint, add the x values and divide by 2.

-2+(-4)=-2-4=-6

-6/2=-3

For the y value, add the y values and divide by 2.

6+(-4)=6-4=2

2/2=1

So, our midpoint is (-3,1).

Have a wonderful day! :D