First twelve mulitples of 4

Answer: The first box would have the value 504, while the second box has the value 84

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Work Shown:

nPr = (n!)/(n-r)!

9P3 = (9!)/(9-3)!

9P3 = (9*8*7*6!)/(6!)

9P3 = 9*8*7

9P3 = 504

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nCr = (nPr)/(r!)

9C3 = (9P3)/(3!)

9C3 = (504)/(3*2*1)

9C3 = 504/6

9C3 = 84

note: you can also use the formula nCr = (n!)/(r!*(n-r)!) to compute the combination value, which as you can probably notice, it has the nPr formula buried in it. This is what connects the two concepts of nPr and nCr. The exclamation mark means factorial.

[tex]\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74[/tex]

Final answer:

The expression for the total number of autographs Jackson has after getting 3 more is 'n + 3', where 'n' represents the original number of autographs.

Explanation:

Jackson currently has n autographs in his autograph book. Since he obtained 3 more autographs yesterday, we can express the total number of autographs he now has by creating a simple algebraic expression. You add the number of new autographs to his original count. The expression that represents the total number of autographs in Jackson's book now is n + 3.

x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80

This is how Corey should have solved

y = 1.505*x - 88.21

80 = 1.505*x - 88.21 <--- replace y with 80

1.505*x - 88.21 = 80

1.505*x = 80 + 88.21 <--- add 88.21 to both sides

1.505*x = 168.21

x = 168.21/1.505 <--- divide both sides by 1.505

x = 111.767

x = 111.8

If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.

Answer:

If you don't want to read all of that the answer is:

A- He substituted 80 for x instead of y.

Step-by-step explanation:

I just did it on Edge 2020 and got it right...

the second time

Answer:

a

Step-by-step explanation:

i just took this

Answer:

$35(4) + $35(.92)(2) = $140 + $64.40 = $204.40

Answer:

PN = 70

Step-by-step explanation:

using the property that the diagonals bisect each other, then

PK = PN

5x = x² - 14 ( rearrange into standard form )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 2 = 0 ⇒ x = - 2

but x > 0 ⇒ x = 7

PN = PK + KN = 5x + x² - 14 = (5 × 7) + 7² - 14 = 35 + 49 - 14 = 70

[tex]\left\{\begin{array}{ccc}5x+7y=-1&\text{multiply both sides by 2}\\4x-2y=22&|\text{multiply both sides by 7}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}10x+14y=-2\\28x-14y=154\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad38x=152\qquad\text{divide both sides by 38}\\.\qquad \boxed{x=4}\\\\\text{Put the value of x to the first equation:}\\\\5(4)+7y=-1\\20+7y=-1\qquad\text{substract 20 from both sides}\\7y=-21\qquad\text{divide both sides by 7}\\\boxed{y=-3}\\\\Answer:\ \boxed{x=4\ and\ y=-3\to(4,\ -3)}[/tex]

Answer:

x=22

Step-by-step explanation:

The exterior angle is the sum of the 2 opposite interior angles of a triangle

6x+1 = 79+2x+10

Combine like terms

6x+1 = 89+2x

Subtract 2x from each side

6x-2x+1= 2x-2x+89

4x+1 = 89

Subtract 1 from each side

4x+1-1 =89-1

4x = 88

Divide by 4

4x/4 = 88/4

x =22

Answer:

I believe it would be 7.8

Step-by-step explanation:

Answer:

7.78 (apex) :)

Step-by-step explanation:

Answer:

11.

Step-by-step explanation:

I got the answer of 11, as I:

-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.

Hope this helps!

--Emilie Xx

Answer:

3r = 35

Step-by-step explanation:

Margaret goes to the country fair with $35.00

Each rides cost at the fair = $3.00

Let she can take number of rides = r

The cost of rides = 3r

She has $35 so the equation will be

3r = 35

r =  [tex]\frac{35}{3}[/tex]

r =  [tex]11\frac{2}{3}[/tex]

Therefore she can take 11 rides. She spent on 11 rides 11 × 3 = $33.00

So she has left $2.00 with her.

Step-by-step explanation:

Given system of equations :

x+5y=10 and 3x+y=1.

Let us solve the system of equation by substitution.

Solving second equation 3x+y=1 for y first.

3x+y=1.

Subtracting 3x from both sides, we get

3x-3x+y=1-3x

y = 1-3x.

Substituting y=1-3x in first equation x+5y=10, we get

x+ 5(1-3x) = 10.

x + 5 -15x =10

-14x +5 = 10.

Subtracting 5 from both sides, we get

-14x +5-5 = 10-5

-14x =5

Dividing by -14 on both sides, we get

-14x/-14=5/-14

x= -0.36.

Plugging x=-0.36 in second equation y=1-3x, we get

y = 1-3(-0.36) = 1+1.08 = 2.08.

Answer:

A (–0.3, 2.1)

Step-by-step explanation:

2xty=5 is not linear.

Answer: y = 7, y = -1

Step-by-step explanation:

Since both A and B lie on the circle, their distances to the origin is the radius which will be equal.

[tex]d_{AO}=\sqrt{(-1-2)^2+(y + 3y)^2}\\d_{BO}=\sqrt{(5 - 2)^2+(7 + 3y)^2} \\\qquad \qquad \qquad \qquad d_{AO} = d_{BO}\\\sqrt{(-1-2)^2+(y + 3y)^2}=\sqrt{(5 - 2)^2+(7 + 3y)^2}\\\sqrt{(-3)^2+(4y)^2}=\sqrt{(3)^2+(7 + 3y)^2}\\\sqrt{9+16y^2}=\sqrt{9+(49+42y+9y^2)}\\\sqrt{9+16y^2}=\sqrt{58+42y+9y^2}\\(\sqrt{9+16y^2})^2=(\sqrt{58+42y+9y^2})^2\\\\9+16y^2=58+42y+9y^2\\7(y^2-6y-7)=0\\7(y - 7)(y + 1)=0\\y - 7 = 0 \qquad\text{and}\qquad y + 1 = 0\\\quad y = 7 \qquad \text{and}\qquad y = -1[/tex]

The original price of the three video games before the discount was $200.

Sam purchased 3 video games for a total of $140 after receiving a 30% discount. To find the original price of the games before the discount, we need to divide the sale price by the percentage that Sam actually paid (100% - discount percentage).

The discount percentage is 30%, so Sam paid 100% - 30% = 70% of the original price. Since 70% is the same as 0.70 in decimal form, we can set up the equation:

$140 = original price * 0.70

To determine the original price, divide $140 by 0.70:

Original price = $140 / 0.70

Original price = $200

Therefore, the original price of the three video games before the discount was $200.

Answer:

Linear regression is the relationship between two variables  x and y

One variable is dependent and the other one is explanatory variable

Regression line equation is shown in the attachment please have a look at it.

Table and graph is shown  in the file attached.

[tex]R^2\text{is the regression over two variables}[/tex]

x represents the number of days prom tickets have been on sale.

y represents  total number of tickets sold.

Answer:

x=24 in

Step-by-step explanation:

We can use proportions to solve this problem

5                15

------ =  -------------

8              x

Using cross products

5 * x = 8 *15

Divide by 5

5x/5 = 8*15/5

x = 8*3

x =24

Answer:

-1/2

Step-by-step explanation:

Using rise/run we can go up 1 and over 2 to get to the next point. When a line is graphed going from top left down to the right, it is negative.

I hope that helps u out!!

Good luck! :)

Answer:

-1/2

Step-by-step explanation:

Grab a graphing calculator and enter the two points into STAT.

Click STAT again and then click the right arrow and then click the 4 button. press enter 4 times and then wa-la you got your answer

:)

The symbol '|' denotes absolute value, which measures the distance of a number from zero. Therefore, |-1.37| equals 1.37 and |1.21| equals 1.21. Since 1.37 is greater than 1.21, the absolute value of -1.37 is greater than 1.21.

In mathematics, the symbol '|' denotes absolute value. The absolute value of a number measures its distance from zero, ignoring whether it is positive or negative. Hence, |-1.37| and |1.21| mean how far away -1.37 and 1.21 are from zero on the number line, respectively.

|-1.37| equals 1.37 and |1.21| equals 1.21. So, 1.37 is greater than 1.21. This means that A) |-1.37| > |1.21| is the correct option. In other words, the absolute value of -1.37 is greater than the absolute value of 1.21.

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To find the cost of 6 pencils when 9 cost $7.74, solve for the cost of one pencil, which is $0.86, and then multiply by 6 to get $5.16.

To determine the cost of 6 pencils when 9 pencils cost $7.74, we can start by finding the cost of one pencil and then multiplying that cost by 6. Let the cost of one pencil be x dollars. The equation representing this situation would be 9x = 7.74. To find the cost of one pencil, solve for x:

Answer:

18

Step-by-step explanation:

[ Answer ]

Y = -12 / 5

[ Explanation ]

Expand:

-3y - 9 = 2y + 3

Add 9 to both sides:

-3y - 9 + 9 = 2y + 3 - 9

Simplify:

-3y = 2y + 12

Subtract 2y from both sides:

-3y - 2y = 2y + 12 - 2y

Simplify:

-5y = 12

Divide both sides by -5:

-5y / -5 = 12 / -5

Simplify:

Y = -12 / 5

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Ordered pairs can be used to represent the running times for male and female runners in a race, allowing for effective data analysis and comparison. The correct statement is option a) True.

The running times for each male and female runner in a race can indeed be represented as an ordered pair. This is true because an ordered pair (e.g., (time, gender)) can be used to encapsulate two pieces of related information about each runner's performance. In your math 1 data analysis, this approach enables the comparison of run times between different runners or across genders, which could be useful when analyzing the data and looking for patterns or trends.

For example, if a female runner finished a race in 2 hours, 30 minutes, and a male runner finished in 2 hours, 45 minutes, their running times could be represented by the ordered pairs (2:30, Female) and (2:45, Male) respectively. This compact representation is particularly helpful when you want to create a visual display of the data, such as a scatter plot, or perform statistical analysis to investigate questions such as improvements in run times or the closing of the gender gap.

Thus, the correct statement to the student's question is option a) True.

Answer:

[tex]a_{15}[/tex] = 5

Step-by-step explanation:

to find the 15th term substitute n = 15 into the nth term formula

[tex]a_{15}[/tex] = (- 3 × 15 ) + 50 = - 45 + 50 = 5

To find the 15th term, enter n = 15 into the nth term formula.

A list of numbers in a specific order is called a sequence. A term is the name given to each number in a sequence. A sequence has a place for each phrase (first, second, third and so on). Consider the sequence 5, 15, 25, 35, for instance. Each number in the series is referred to as a word. You should be familiar with the following four main categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences.

Sets of numbers that adhere to a pattern or norm are known as number sequences. It is referred to as an arithmetic sequence if the rule is to add or remove a number each time. It is referred to as a geometric sequence if the rule is to multiply or divide by the same integer each time.

A term is the name given to each number in a series. A sequence is a list of objects that is in order in mathematics (or events). Similar to a set, it has members (also called elements, or terms). The length of the sequence is the number of ordered elements (potentially infinite)

Detailed explanation:

Substitute n = 15 into the nth term formula to discover the 15th term.

a15= (- 3 × 15 ) + 50 = - 45 + 50 = 5

a15= 5

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Answer,

-7

Explanation,

Hello! All we are doing here is simply subtraction :-)

-9 - 6 = -15

-15 - (-8) = -7

Hope This Helps :-)

Answer:

im pretty sure it is -7

Step-by-step explanation:

Answer:

Nevada haves 3 million people and sacramento haves 495,234 people so if we add them it would be 3,495,234

Step-by-step explanation:

Answer: Is your mom hot

Answer:

Step-by-step explanation: Your answer will be 79.9. To get the answer you multiply 56 and 0.2 to get 11.2.Then you add 11.2+68.70 which gives you 79.9. Hope this help ya!☺

Answer:

100/7 miles

Step-by-step explanation:

So 3 1/3 can be written as 10/3 and 4 2/7 can be written as 30/7. So multiplying, we get 300/21 which can be simplified to 100/7.

Answer:

Step-by-step explanation:

by using unitary method, we will convert miles per hour into miles per minute in 60 minutes the shark can chase the prey 30 milesIn 1 minute the shark can chase Hence the shark can chase the prey about 0.5 miles per minute.