If the function y = xa − 31 is a linear function, what is the value of a?

Answer:

Step-by-step explanation:

Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you place the card back in the deck, shuffle the deck, and draw another card. You repeat this process until you have drawn 20 cards in all. What is the probability of drawing at least 8 hearts?

For the experiment above, let X denote the number of hearts that are drawn. For this random variable, find its expected value and standard deviation.

E(X)=

?=

Parallel lines have the same slope.

m = (y2-y1)/(x2-x1)

m = (-3-3)/(4-0)

m = -6/4 = -3/2

Substitute the values in y = mx + c,

-5 = (-3/2)(6) + c

-5 = -9 + c

c = 4

y = (-3/2)x + 4

Thus, Option D is the correct answer

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Work Shown:

[tex]\frac{2}{7} \div \frac{3}{7}\\\\\\\frac{2}{7} \times \frac{7}{3}\\\\\\\frac{2*7}{7*3}\\\\\\\frac{2}{3}\\\\\\[/tex]

When dividing fractions, you flip the second fraction and multiply (step 2).

Note in the last step, the 7's cancel out.

Answer:

2÷3

Step-by-step explanation:

=2÷7×3÷7

= 7 of the denominator will be cancelled

=hence, 2÷3 is the answer

Answer:

-9 :)

Step-by-step explanation:

Given:

Sharon has two liabilities: a credit card balance of $1300 and a car loan balance of $4800.

Car = $9000

Balance in her saving account = $1450

Stocks = $1050.

To find:

Sharon’s net worth.

Solution:

Total liabilities = Credit card balance + Car loan balance

                        = $1300 + $4800

                        = $6100

Total Assets = Car + Balance in her saving account + Stocks

                     = $9000 + $1450 + $1050

                     = $11500

Now,

Net worth = Total assets - Total liabilities

                 = $11500 - $6100

                = $5400

Therefore, Sharon’s net worth is $5400.

Sharon's net worth, based on her assets and liabilities, is $5,400.

Net worth refers to the difference between an individual's assets and liabilities.

Assets are the properties owned by the individual.  Liabilities are the sources of funding for the assets.  They are financial obligations owed to outsiders (creditors).

In business, the net worth of an entity is known as equity.

Credit card balance of $1300

Car loan balance of $4800

Total liabilities = $6,100

Sharon's car with a market value of $9000

Savings account balance of $1450

Stocks that are currently worth $1050

Total assets = $11,500

Net worth = $5,400 ($11,500 - $6,100)

Thus, Sharon's net worth is $5,400.

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Answer:

the answer of the problem p=32

Answer:

100000

Step-by-step explanation:

10^5

Answer:

40

Step-by-step explanation:

Answer:

-144ft below sea level

Step-by-step explanation:

It is a linear equation. Written as y=14x-270. So what you do is substitute x for 9,

y=14(9)-270

y=126-270

y=-144

Answer:

I think the answer is A. The submarine was 144 feet below sea level(-144) after 9 minutes.

Step-by-step explanation:

This is how i got me answer:

z=9

14 x 9 = 126

-270 + 126 = -144

Answer:

-1 5/6

Step-by-step explanation:

-1 2/3 turn it into mixed fraction

-10/6

then -10/6 + -1/6 = -11/6 and simplify and get -1 5/6

Hope this helps dude ! ^-^

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

There are 5 boys and 3 girls

With no restrictions, 8 people can seat in 8! ways

Answer:

40320

There are 5 boys and 3 girls

With no restrictions, 8 people can seat in 8! ways

8! = 40320 arrangements

Answer:

8.4

Step-by-step explanation:

You multiply 2.1 and 4

Answer:

-2

Step-by-step explanation:

slope is -2 because parallel lines have equal slopes.

Answer:

7a

Step-by-step explanation:

4a + 3a

(4 + 3)a

(7) a

Answer = 7a

Answer:

4a+3a is equivalent to 7a

Step-by-step explanation:

when simplifying you combine like terms. Since 3a and 4a are like terms and their are no exponents, all you have to do is add the coefficients together.

Answer:

60 and 100

Step-by-step explanation:

Look for 2 multiples of 20 which are also factors of 300.

No need to go all Mathematician.

It's simple, no long explanation needed

Answer:

3/40

Step-by-step explanation:

Answer:

3/40

Step-by-step explanation:

Answer: $8

Step-by-step explanation: each cartoon is 4 dollars

and she need 2

2•4=8

Answer:

4(2b) and 8b

Step-by-step explanation:

4(2b) = 4x2b= 8b

Hello!

Answer:

631.7 miles

Step-by-step explanation:

All you need to do is to subtract 38,573.2 miles from 39,204.9 miles.

So something like this>>>

  38,573.2

_ 39,204.9

__________

        631.7

You're Welcome! Hope it helps!

Answer: 48 square inches per inch

Step-by-step explanation:

The surface area of a cube of sidelength e is:

A(e) = 6*e^2.

The rate of change is:

A'(e) = 2*6*e

The average rate of change between 3 in and 5 in is:

r  = (A(5in) + A(3in))/2 = (2*6*5in + 2*6*3in)/2 = 48in

Now, the options are given in:

"squere inches per inch"

This is written as:

in^2/in = in.

Then we can write our above rate as:

r = 48in = 48in^2/in = 48 square inches per inch.

Answer:

Just did the test, 48 square inches is correct on edge

Step-by-step explanation:

Give credit to the other person.

Answer:

60 and 40 or 120 and 20

Step-by-step explanation:

60 x 2=120

40 x 3=120

60 x 40=2400

120 x 1=120

20 x 6=120

120 x 20=2400

You can try a few others, but no others have an lcm of 120

Answer:

The Second Site

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Answer:

$8/pound

Step-by-step explanation:

$40 ÷ 5 lbs = 8$ per pound

Answer:

M<-6 is the answer

Step-by-step explanation:

divide -2 on both sides and 12÷-2 is -6 so m<-6

Answer:

5.25/25=0.21

Step-by-step explanation:

to find this you can do 0.21 times 25 which gets 5.25 so there is your answer

5.25/25=0.21 is the unit price per​ card.

Division is the process of splitting a number or an amount into equal parts.

Here, given that,

A store sells a package of 25 trading cards for​ $5.25.

So, price of per card = 5.25/25

                                  =0.21

(to find this you can do 0.21 times 25 which gets 5.25 )

Hence, 0.21 is the unit price per​ card.

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Answer:

V = 1130.4 cm³

Step-by-step explanation:

Given that V varies jointly with r² and h then the equation relating them is

V = kr²h ← k is the constant of variation

To find k use the condition when r = 3 and h = 5 then V = 141.3 , then

141.3 = k × 3² × 5 = 45k ( divide both sides by 45 )

k = 3.14 ← note approximation for π

V = 3.14r²h ← equation of variation

When r = 6 and h = 10, then

V = 3.14 × 6² × 10 = 3.14 × 36 × 10 = 1130.4 cm³