find the surface area of a cylinder with a. height of 7 m and a base radius of 3 m.

A) First day = x blocks

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) All possible values that Makaila could walk on the first day to reach her goal are; x ≥ 11.2

C) The fewest number of blocks she could walk on this day and still meet her goal is; 70 blocks

A) We are told that the first day, she walks x blocks

Thus;

Second day = x + 2 blocks

Third day = x + 4 blocks

Fourth day = x + 4 blocks

Fifth day = x + 4 blocks

B) Total blocks = x + x + 2 + x + 4 + x + 4 = 5x + 14

Makaila would like to walk at least 70 blocks over the next five days. Thus, the equation is;

5x + 14 ≥ 70

Subtract 14 from both sides of this equation to get:

5x ≥ 56

Divide both sides of this equation by 5 to get:

x ≥ 11.2

C) She must walk greater than or equal to 11.2 blocks the first day to reach her goal.

assume she walks exactly 11.2 blocks the first day.

then her total walking based on the formula would be:

first day 11.2

second day 13.2

third day 15.2

fourth day 15.2

fifth day 15.2

total walked is 11.2 + 13.2 + (3 * 15.2)

this equals 24.4 + 45.6 which equals 70.0

Any number of blocks over 11.2 on the first day will result in a total greater than 70 blocks.

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Answer:

666/1998 x 665/1997 = 665/5991    or    0.110999833083

It is a valid conclusion

Step-by-step explanation:

The expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

The standard deviation is a measurement of how widely apart a set of numbers or statistics are from their mean.

The expected value for the amount of money made selling all of the candy in one bag can be found by;

Expected value = mean number of candy bars per bag x price per candy bar

Expected value = 12 x $1.25 = $15

Formula for the standard deviation of a product of random variables:

\(SD (XY) = \sqrt{((SD(X)^2)(E(Y^2)) + (SD(Y)^2)(E(X^2)) + 2(Cov(X,Y))(E(X))(E(Y)))}\)

where X and Y are random variables, SD is the standard deviation, and Cov is the covariance.

X is the number of candy bars in a bag, which has a mean of 12 and a standard deviation of 2. Y is the price per candy bar, which is a constant $1.25. So we have:

E(Y²) = $1.25² = $1.5625

E(X²) = (SD(X)²) + (E(X)²) = 2² + 12² = 148

Cov (X,Y) = 0 (because X and Y are independent)

Using these values, we can calculate the standard deviation for the amount of money made selling all of the candy in one bag:

\(SD = sqrt((2^{2} )(148) + (0)(12)(1.25)^{2} + 2(0)(2)(12)(1.25))\)

SD = √(592)

SD ≈ $24.33

Therefore, the expected value for the amount of money made selling all of the candy in one bag is $15, and the standard deviation is approximately $24.33.

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Answer:

1/8

Step-by-step explanation:

Multiply the chance of getting heads (1/2 or .5) by the chance it takes to get green (1/4 or .25)

.5*.25=.125 or 1/8

Answer:

Step-by-step explanation:

factor of 10x + 40y

Answer:

10(x + 4y)

Step-by-step explanation:

Given statement solution is :- It takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

To find out how many months it takes to pay off the credit card and the total amount paid including interest, we can use the following steps:

Step 1: Calculate the monthly interest rate

Divide the annual percentage rate (APR) by 12 to get the monthly interest rate.

Monthly interest rate = 14.5% / 12 = 0.145 / 12 = 0.01208 (rounded to 5 decimal places)

Step 2: Set up the equation for the number of months

Let's denote the number of months it takes to pay off the card as 'n'. The monthly payment is $1,200.00, and the initial balance is $3,287.90. The monthly interest rate is 0.01208. The equation for the number of months can be written as:

(1) $3,287.90 ×\((1 + 0.01208)^n\) - $1,200.00 ×\([(1 + 0.01208)^n\) - 1] = 0

Step 3: Solve the equation

To find the value of 'n', we need to solve equation (1). However, solving it algebraically can be complex. Instead, we can use numerical methods like trial and error, or we can use a spreadsheet or a calculator to find the solution.

Using a spreadsheet or a calculator, we can input the values and increment 'n' until we find the point where the equation equals zero.

After performing the calculations, it is determined that it takes approximately 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

Therefore, the answer to the original question is that it takes 4 months to pay off the card, and the total amount paid, including interest, is $4,871.78.

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Answer:

step 10 5 to the 10th power

The most appropriate choice for speed will be given by-

Speed of the flying carpet is 15.2 mph

What is speed?

The distance travelled by the body per unit time is called speed of the body.

If d is the distance travelled by the body and t is the time taken, then

speed = \(\frac{d}{t}\)

Speed is a scalar quantity as the direction is not taken into account.

Here,

Let the speed of the flying carpet be \(x\) miles

A flying carpet flies 2.4 miles with the wind

Time taken flying with the wind = \(\frac{2.4}{x +4}\)

The flying carpet flies 1.4 miles against the wind

Time taken flying against the wind = \(\frac{1.4}{x - 4}\)

By the problem,

                         \(\frac{2.4}{x +4} = \frac{1.4}{x-4}\)  

                         \(2.4(x - 4) = 1.4(x + 4)\\2.4 x - 9.6 = 1.4 x + 5.6\\2.4 x - 1.4 x = 9.6 + 5.6\\\)

                          \(x = 15.2\) mph

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The value of the expression −|a + b|/2 − c when a =1 2/3 , b=−1 , and c=−3 is 8/3

From the question, the expression is given as

−|a + b|/2 − c

Also, we have the values of the variables to be

a =1 2/3 , b=−1 , and c=−3

Rewrite a as

a = 5/3

So, we substitute a = 5/3  b=−1 , and c=−3 in −|a + b|/2 − c

This gives

−|a + b|/2 − c  = −|5/3 - 1|/2 + 3

Evaluate the difference in the expression

−|a + b|/2 − c  = −|2/3|/2 + 3

Divide

−|a + b|/2 − c  = −|1/3| + 3

Remove the absolute bracket and solve

−|a + b|/2 − c  = 8/3

Hence, the solution is −|a + b|/2 − c  = 8/3

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The required simplified value of the given expression is 8/3.

As per the given data, an expression −|a+b|/2−c is given when   a=1 2/3, b=−1, and c=−3 the value of the expression is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let the solution be x,
x = −|a+b|/2−c
Substitute value in the above equation,
x = - |1 + 2 / 3 - 1|/2 - (-3)
x = -1/3 + 3
x = -1+9 / 3
x = 8/3

Thus, the required simplified value of the given expression is 8/3.

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Answer:

\(P(z>1.51) =1-P(Z<1.51)\)

And i fwe look into the normalstandar dtable we can find the desired probability:

\(P(z>1.51) =1-P(Z<1.51)=1-0.9345= 0.0655\)

And then the The area to the right of z = 1.51 is 0.0655

Step-by-step explanation:

For this case we want to find the following probability:

\( P(z>1.51)\)

And for this case we can use the normal standard distribution and the complement rule and we have this:

\(P(z>1.51) =1-P(Z<1.51)\)

And i fwe look into the normalstandar dtable we can find the desired probability:

\(P(z>1.51) =1-P(Z<1.51)=1-0.9345= 0.0655\)

And then the The area to the right of z = 1.51 is 0.0655

The area to the right of z = 1.51 is 0.0655

The z-score or the standard score illustrates how far from the mean a data point is.

The z value is given as:

\(z = 1.51\)

The area to the right of the z-score is represented as:

\(P(Z > z)\)

Substitute 1.51 for z in the above expression

\(P(z > 1.51)\)

From z-score of probability, we have:

\(P(z > 1.51) =0.065522\)

Approximate

\(P(z > 1.51) =0.0655\)

This means that, the area to the right of z = 1.51 is 0.0655

See attachment for the sketch

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Answer:

Step-by-step explanation:

2x + 1 = 5

2x = 4

x = 2

Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).

Answer: x = 4

Step-by-step explanation:

Translating the problem into mathematical terms:

Let's call the number x. Then the problem can be written as:

5 * (2x - 3) - (x + 8) = 13

Expanding the left side of the equation:

5 * 2x - 5 * 3 - x - 8 = 13

Simplifying the left side of the equation:

10x - 23 - x - 8 = 13

Combining like terms:

9x - 31 = 13

Adding 31 to both sides of the equation:

9x = 44

Dividing both sides of the equation by 9:

x = 4.88888...

Since x has to be a whole number, we round down to the nearest whole number:

x = 4

Therefore, the number that satisfies the equation is 4.

\(f^(-1)(2) = 6\), which is consistent with our earlier result.

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?

Solution:

To find f^(-1)(2), we need to find the value of x such that  \(f(x) = 2\) . We can set up an equation:

\(f(x) = \sqrt(2x - 8) = 2\)

Squaring both sides, we get:

\(2x - 8 = 4\)

\(2x = 12\)

\(x = 6\)

Therefore, \(f^(-1)(2) = 6.\)

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

\(f(f^(-1)(x)) = x\)

We can substitute x = 2 and solve for f^(-1)(2):

\(f(f^(-1)(2)) = 2\)

\(f^(-1)(2) = (f(6))^(-1)\)

f(6) = √(2(6) - 8) = √4 = 2

Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.

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Answer:

it's B

Step-by-step explanation:

9wcbux2v9wcuuv9w9uve2cu92cveu02x0v2xuv2uh wce

The quadratic equation of the parabola representing the flight of the ball is: y = \(46x^2 - 153x + 170\)

To find the quadratic equation of the parabola representing the flight of the ball, we can use the standard form of a quadratic equation: y = \(ax^2\) + bx + c.

Given the points (1, 63), (2, 48), and (3, 1), we can substitute these values into the equation to form a system of three equations:

Equation 1: 63 =\(a(1^2) + b(1) + c\)

Equation 2: 48 =\(a(2^2) + b(2) + c\)

Equation 3: 1 = \(a(3^2) + b(3) + c\)

We can simplify these equations:

Equation 1: 63 = a + b + c

Equation 2: 48 = 4a + 2b + c

Equation 3: 1 = 9a + 3b + c

Now, we can solve this system of equations to find the values of a, b, and c. Subtracting Equation 1 from Equation 2 and Equation 3, we get:

Equation 4: 48 - 63 = 4a + 2b + c - (a + b + c)

Equation 5: 1 - 63 = 9a + 3b + c - (a + b + c)

Simplifying these equations:

Equation 4: -15 = 3a + b

Equation 5: -62 = 8a + 2b

Now, we have a system of two equations (Equation 4 and Equation 5) with two variables (a and b). Solving this system of equations, we get:

Multiply Equation 4 by 2: -30 = 6a + 2b

Subtract Equation 5 from this result: 30 - (-62) = 6a + 2b - (8a + 2b)

92 = -2a

a = -92 / -2

a = 46

Substituting the value of a into Equation 4:

-15 = 3(46) + b

-15 = 138 + b

b = -15 - 138

b = -153

Now, we have found the values of a and b. To find the value of c, we can substitute any of the given points into the equation y = \(ax^2 + bx + c.\)Let's use the point (1, 63):

63 = \(46(1^2) + (-153)(1) + c\)

63 = 46 - 153 + c

c = 63 - 46 + 153

c = 170

Therefore, the quadratic equation of the parabola representing the flight of the ball is: y =\(46x^2 - 153x + 170\)

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Answer:

Graph is below

Step-by-step explanation:

I am going to use 3 points to make this graph

(0,0)

(-1,3)

(1,3)

Answer:

(0,0), (-1,3), (1,3)

Step-by-step explanation:

The graph is below!

Hope this helps!!!!!!!!!!!!

Alonso spent all of his money, this confirms that he can buy 3 bags of avocados.

Alonso has $21.00 to spend on eggs and avocados. He buys eggs that cost $2.50, which leaves him with $18.50. Since the store only sells avocados in bags of 3, he will need to find the cost per bag in order to calculate how many bags he can buy.

First, divide the cost of 3 avocados by 3 to find the cost per avocado. $5.00 ÷ 3 = $1.67 per avocado.

Next, divide the money Alonso has left by the cost per avocado to find how many avocados he can buy.

$18.50 ÷ $1.67 per avocado = 11.08 avocados.

Since avocados only come in bags of 3, Alonso needs to round down to the nearest whole bag. He can buy 11 avocados, which is 3.67 bags.

Thus, he will buy 3 bags of avocados.Let's test our answer to make sure that Alonso has spent all his money:

$2.50 for eggs3 bags of avocados for $5.00 per bag, which is 9 bags of avocados altogether. 9 bags × $5.00 per bag = $45.00 spent on avocados.

Total spent:

$2.50 + $45.00 = $47.50

Total money had:

$21.00

Remaining money:

$0.00

Since Alonso spent all of his money, this confirms that he can buy 3 bags of avocados.

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solve the equation for a

multiply each side by 16

cancel the left side

The wholesale cost for the pianos that Tim pays the manufacturer, wages and utility bills that Tim pays are counted as explicit cost. On the other hand, the salary that Tim could earn if he worked as an accountant and the rental income that Tim could earn from renting his showroom fall under implicit cost.

Difference between Implicit Cost and Explicit Cost:

These two expenses, implicit cost and explicit cost, both represent company activity. The connection between cost and business is what distinguishes these two.

An explicit cost is one that the owner bears directly; an implicit cost is one that the owner bears indirectly without paying or utilizing its own resources. However, the organization or corporation takes into account both expenses while making management decisions.

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The probability that all 4 cards are face cards is 0.00182842367.

The face cards are the King, Queen, and Jack (sometimes known as the Knaves). There are 12 face cards in the 52-card deck of playing cards.

The cards are drawn without replacement,

The probability of getting a face card in first draw is 12/52.

As it is without replacement, in the second draw the probability is 11/51.

In third draw, it is 10/50.

In the fourth draw the probability is 9/49.

We have to draw all the four cards, so we multiply the probabilities, to get the final probability.

=12/52x 11/51 x 10/50 x 9/49

=0.00182842367.

Therefore, the probability that all 4 cards are face cards is 0.00182842367.

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25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

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The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

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Answer:

x  = 1,77 in

Step-by-step explanation:

Total volume of molten plastic to make  a block is

1 [gal] - 1 L (lost in the process)  =  3,7854 - 1  =  2,7854

Now the volume of the block is:

1 foot  * 8 inches * x ( thick of the block )

1 foot is 0,3048 meter  and 1 inch is 0,0254 meter

Then  in m³  the volume of the block is

0,3048 * 8 * 0,0254 * x  =  0,06193536 * x  [ m³ ]

That volume should be equal to  2,7854 / 1000

Therefore

 0,06193536 * x  = 2,7854 / 1000        x in m³

x = 2,7854 /61,93536  m

x  =  0,044972  m      and    1 m  =  39,37 in

x  = 1,77 in

Number of 20-cent coins in the box are 33.

1. Let's assume the number of 20-cent coins to be x and the number of 50-cent coins to be y.

2. We can set up two equations based on the given information:

  - x + y = 54   (since the total number of coins in the box is 54)

  - 0.20x + 0.50y = 20.70   (since the total value of all the coins is $20.70)

3. We can multiply the second equation by 100 to get rid of the decimals:

  - 20x + 50y = 2070

4. Now, we can use the first equation to express y in terms of x:

  - y = 54 - x

5. Substitute the value of y in the second equation:

  - 20x + 50(54 - x) = 2070

6. Simplify and solve for x:

  - 20x + 2700 - 50x = 2070

  - -30x = -630

  - x = 21

7. Substituting the value of x back into the first equation:

  - 21 + y = 54

  - y = 33

8. Therefore, there are 21 20-cent coins and 33 50-cent coins in the box.

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To find (f•g)(x) we need to solve the product of the expressions for each of the functions, this way:

The obtained is a polynomic function. In this kind of functions, the domain has no restrictions, it means that the domain of this function is All real numbers.