Randy Johnson, a hall-of-fame baseball pitcher, could throw a baseball 100 miles per hour. How fast could he
throw the baseball in feet per second? Show the work that leads to your answer. (HINT: There are 5,280 feet
in a mile.)
Answer:

The solution to the given Inequality is a > 12 and the graph is as attached.

We are given the Inequality as;

8a - 30 > 66

Now, use addition property of equality to add 30 to both sides to get;

8a - 30 + 30 > 66 + 30

8a > 96

Now, use division property of equality to divide both sides by 8 to get;

8a/8 > 96/8

a > 12

The graph of this is as attached.

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Answer:

A.

Step-by-step explanation:

In the 2nd Quadrant, the y is POS and the x is NEG. That's what will happen if reflected from the 1st Quadrant over the Y axis.

Answer: A

Step-by-step explanation:

The probability that a hand of five cards chosen at random and without replacement from a standard 52 card deck will have a king of spades, exactly one other king, and exactly two queens = 0.000332

A deck of cards consist of 52 cards in which each 13 cards are from 4 suits: Spades, Hearts, Diamonds and Clubs.

Each suit consist of cards Ace, King, Queen, Jack and other 9 cards.

So in 52 cards there is 4 kings and 4 queens each.

Five cards are selected at random and without replacement.

Five cards from a 52 deck cards can be chosen in 52C5 ways.

A spade king can be chosen in 1C1 way. [ Since there is only one spade king]

Exactly one other king can be chosen in 3C1 ways. [Since now only 3 kings are remaining after choosing 1 spade king]

Exactly 2 queens can be chosen in 4C2 ways.

Now 4 cards are selected out of 5. The remaining 1 card is chosen out in 48C1 ways.

So the probability that the five cards chosen will have a king of spades, exactly one other king, and exactly two queens

                           = (1C1 x 3C1 x 4C2 x 48C1) /52C5 = 18/54145 =0.000332

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The average fraction of students in the two classes who went on the field trip is 11/16

The given parameters are:

Class 1 = 3/4

Class 2 = 5/8

The average is calculated as

Average = 1/2 * (Class 1 + Class 2)

So, we have

Average = 1/2 * (3/4 + 5/8)

Evaluate

Average = 11/16

Hence, the average fraction of students in the two classes who went on the field trip is 11/16

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well, first off, let's see how much each one costs per month.

so, hmmm if she goes with the Bank loan at 9% for 3 years

[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ A=9000[1+(0.09)(3)] \implies \boxed{A = 11430}[/tex]

now, that's for 36 months, so she'd be owing the Bank per month [tex]\cfrac{\stackrel{total}{11430}}{\underset{months}{36}}~~ = ~~\text{\LARGE 317.5}[/tex]

now let's take a look at the Credit Card's loan at 18% for 7 years

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9000\\ r=rate\to 18\%\to \frac{18}{100}\dotfill &0.18\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=9000\left(1+\frac{0.18}{12}\right)^{12\cdot 7} \implies A \approx \boxed{31433.31}[/tex]

now, in 7 years there are 84 months, thus  [tex]\cfrac{\stackrel{total}{31433.31}}{\underset{months}{84}}\approx \text{\LARGE 374.21}[/tex]

so, the Bank will give her a better deal per month, and to be honest altogether.

The plan with simple interest will give the lowest monthly repayment.

The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

Option C is the correct answer.

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Compound interest is the interest that is made from the principal and the interest as well in consecutive years.

We have,

Simple interest:

Principal = $9000

Rate = 9%

Time = 3 years

Simple interest:

= P x R x T / 100

= 9000 x 9 x 3 / 100

= 2430

Amount = simles interest + principal

A = 9000 + 2430 = $11430

3 years = 36 months

Monthly  payment = 11430 / 36 = $317.5

Compound interest:

Principal = $9000

Rate = 18%

Time = 7 years

A = P [tex](1 + \frac{18}{100}) ^{7}[/tex]

A = 9000 [tex](1 + 0.18) ^{7}[/tex]

A = 9000 x3.19

Amount = $28,710

7 years = 84 months

Monthly payment = 28710 / 84 = $341.78

Thus,

The plan with simple interest will give the lowest monthly repayment.

The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.

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Answer:

300

Step-by-step explanation:

5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down

The formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .

What is angle of elevation ?

Let the formula for the exponential function that approximates the ground roll for a fully loaded Cessna 172 at an elevation of x be

y =A(B)x ....(1)

Here,

A = ground roll at x =0,

B = growth factor.

Since at x =0, , Ground roll is = A = 585 ft ....(2)

On putting A = 585 in equation (1), we get

y = 585(B)x ....(3)

Now, at elivation of x = 1000 ft ,

Ground roll y = 640 ft.

So, putting these values in equation (3), to get

640 = 585(B)1000

Reversing the sides to get

585(B)1000 = 640

Or B1000 = 640/585

Or B1000 = 1.09017094

Or B = (1.09017094)1/1000

Or B = 1.00009 .....(4)

On putting the value of B  in equation (3), we get

y = 585(1.00009)x

Hence, the formula for the function that approximates the ground roll for a fully Cessna 172 at an elevation of x is y = 585(1.00009)x .

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1) d - c is calculated as; -4

2) Simplifying ³/₄ - ²/₅ gives; 7/20

1) We are given;

c = 12 and d = 8. Thus;

d - c is calculated as;

8 - 12 = -4

2) We want to simplify ³/₄ - ²/₅

Factoring out 1/20 gives;

1/20(15 - 8) = 7/20

3) Number of pencils purchased = 888 pencils

Number of pencils in a box = 12

Thus;

Number of boxes purchased = 888/12 = 74 boxes

4) An integer is a whole number (not a fractional number) that can be positive, negative, or zero. The only one that is not an integer here is; 20/6

5) √64 = 8

6) (30 - 4 * 2)/(2 * 2²)

= (30 - 8)/8

= 22/8 = 11/4

7) 11 = x + 19

x = 11 - 19

x = -8

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Answer:

D. 2.1775 x 10^7

Step-by-step explanation:

I just finished the quiz and got it correct

Hope its not to late!

Answer:

2.1775 x 107

Step-by-step explanation:

The area of the semicircle with the given diameter is 189.97 mm^2

The given parameters are

Diameter, d = 22 mm

The area of the semicircle is calculated as

A = 1/2 * pi * (d/2)^2

So, we have

A = 1/2 * 3.14 * (22/2)^2

Evaluate the expression

A = 189.97 mm^2

Hence, the area of the semicircle with the given diameter is 189.97 mm^2

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Answer:

B) 35

Step-by-step explanation:

35 is less than 50 and it's a factor of 70, a multiple of 5 and 7 is 35 just by multiplying the numbers it will give you that answer.

Answer:

m = [-9, +infinity]

Step-by-step explanation:

Answer:

-5,-1

Step-by-step explanation:

add 4 to get the next number

The correct options for defining a plane are-

A plane is a flat, 2-dimensional surface which extends indefinitely in mathematics. Planes can appear as infinitely expanded subspaces from some multidimensional space, such as one of the room's walls, or they can exist independently, as in the configuration of Euclidean geometry.

Some key properties of the plane are-

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The correct question is -

What statements describe the properties of a plane? Select three options.

1)A plane is one dimensional.

2)A plane has length and width.

3)A plane extends infinitely in all directions.

4)A plane is precisely defined.

5)A plane is a flat surface.

Answer:

3.3m each day.

Step-by-step explanation:

The equation will be 18.2 = 5 + 4m18.2=5+4m

Solve for m to get 4m = 13.24m=13.2

m = 3.3m=3.3

She would have to ride 3.3 miles each day to meet her goal.

Answer: 3.3 miles per day

Step-by-step explanation: 13.2/ 4=3.3

The monthly payment will be $1454.06048

You can calculate the Car Loan EMI Amount with the help of the mathematical formula: EMI Amount = [P x R x (1+R)^N]/[(1+R)^N-1] , where P, R, and N are the variables. This also means that the EMI value will change, each time you change any of the three variables. Let’s discuss these three variables in detail.

‘P’ stands for the Principal Amount. It is the original loan amount given to you by the bank on which the interest will be calculated.

‘R’ stands for the Rate of Interest set by the bank.

N is the number of years given for the repayment of the loan. As you must pay the EMIs each month, the duration is calculated in the number of months.

Here , P=$50000,R=3/12/100=0.0025,N=36 Months.

EMI=[50000 x 0.0025 x (1+0.0025)^36]/[(1+0.0025)^36-1]

= $1454.06048

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The correct option is A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.

The function which also has an inverse that is also a function is {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.

An inverse in mathematics is a function which serves to "undo" another function. That is, if f(x) yields y, then placing y into the inverse of f yields x.

In response to the given question

We understand that such a function is really only one that has a unique y value that corresponds to x.

An inverse function is only a function is if function being inversed is also a function.

Thus, option (A) has all x corresponding to y values that are different, but all remaining options have the values repeating, so that will not be a function because only (A) has to inverse.

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The complete question is -

Which function has an inverse that is also a function?

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

B. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}

C. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}

D. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

Answer: No, for example, 50/2=25, 25 isn't even

Step-by-step explanation:

Answer:

No, it's not

Step-by-step explanation:

when u divide an even number with even number,the ans maybe appear in even as well as odd number also

For e.g:

1. 36/12=3

2. 12/6=2

3. 30/6=5

4. 60/10=6

The new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).

Dilating the given triangle by the scale factor means multiplying each coordinate by the given scale factor.

Given coordinates are A(-3, 1), B(2, 4), and C(0, -4).

The scale factor k = 7.

Let, the new coordinate obtained by dilating A with scale factor k be A'.

Then x-coordinate of A' = k × x-coordinate of A

⇒ x-coordinate of A' = 7 × (-3)

⇒ x-coordinate of A' = -21

And y-coordinate of A' = k × y-coordinate of A

⇒ y-coordinate of A' = 7 × 1

⇒ y-coordinate of A' = 7

So, A' → (-21, 7)

Let, the new coordinate obtained by dilating B with scale factor k be B'.

Then x-coordinate of B' = k × x-coordinate of B

⇒ x-coordinate of B' = 7 × 2

⇒ x-coordinate of B' = 14

And y-coordinate of B' = k × y-coordinate of B

⇒ y-coordinate of B' = 7 × 4

⇒ y-coordinate of B' = 28

So, B' → (14, 28)

Let, the new coordinate obtained by dilating C with scale factor k be C'.

Then x-coordinate of C' = k × x-coordinate of C

⇒ x-coordinate of C' = 7 × 0

⇒ x-coordinate of C' = 0

And y-coordinate of C' = k × y-coordinate of C

⇒ y-coordinate of C' = 7 × -4

⇒ y-coordinate of C' = -28

So, C' → (0, -28)

Refer to the image attached for the new triangle formed.

Therefore, the new coordinates are A'(-21, 7), B'(0, -28), C'(14, 28).

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Answer:

-4/7, 1/19, 7/4

Step-by-step explanation:

-4/7 is less then zero, and the only negative number so it is first

1/19 is the second lowest

7/4 is the highest because it is the only one that is greater then 1. (simplified, 7/4= 1 3/4)

Answer:

C

Step-by-step explanation:

153/56= 207G

Using the hypergeometric distribution, there is a 0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

The formula is:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that Ryan will win if he takes 3 Paper cards from a set of 8(5 paper and 3 scissors), hence the parameters are given as follows:

N = 8, k = 5, n = 3, x = 3.

Hence the probability is given by:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 3) = h(3,8,3,5) = \frac{C_{5,3}C_{3,0}}{C_{8,3}} = 0.1786[/tex]

0.1786 = 17.86% probability that Ryan beats Matt in a landslide by choosing 3 Paper cards in a row.

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The monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.

What is debt?

It is defined as the amount one party needs to pay to another party as the first party borrowed an amount that will be credited by the second party. Debt occurs when one party cannot be able to purchase something under normal circumstances.

We know the formula for the monthly payment:

It is given that:

Cathy is purchasing a DVD player and tv at the local electronic store.

The DVD player costs $49.36 and the tv cost $705.20.

If she plans for them in 12 equal payments,

Total cost(combining the cost of the DVD player and TV cost):

= $49.36 + $705.20

= $754.56

Per month payment = $754.56/12

Per month payment = $62.88

Thus, the monthly cost will be $62.88 if Cathy is purchasing a DVD player and tv at the local electronic store. The DVD player costs $49.36 and the tv cost $705.20.

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6.8x10^6, 6.6x10^6, 6.1x10^6, 6x10^

Answer:

6 x 10^6, 6.1 x 10^6, 6.6 x 10^6, 6.8 x 10^6

Step-by-step explanation:

Answer:

hoping the equation wasn't cut off. from what i see it started at 1/2.

-3

__

         [tex]\left(4\right)^2=16\\=\frac{1}{2}\cdot \:16-2\left(4\right)-3\\=\frac{1}{2}\cdot \frac{16}{1}\\=\frac{1\cdot \:16}{2\cdot \:1}\\=\frac{16}{2}\\\frac{16}{2}=8\\=8-2\left(4\right)-3\\2\left(4\right)\\2\cdot \:4 = 8\\=8-8-3\\8-8=0\\0-3\\= -3[/tex]

__

Hope this helps!

The solution to the expression -10 + |6 + -17| -- 14 is 15

The expression is given as:

-10+l 6+-17l - - 14

Rewrite properly as

-10 + |6 + -17| -- 14

Evaluate the sum and the difference

So, we have:

-10 + |6 + -17| -- 14 = -10 + |-11| + 14

Remove the absolute bracket

-10 + |6 + -17| -- 14 = -10 + 11 + 14

Evaluate the sum

-10 + |6 + -17| -- 14 = 15

Hence, the solution to the expression -10 + |6 + -17| -- 14 is 15

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