Jovante decides to start a business by making buttons and selling them for 25 cents each. The button machine costs $125 and the materials for each button cost 10 cents.

Answers

Answer 1

Answer:

If he wants to sell buttons, say 40 buttons, he will get a profit of 1000 cents. And one dollar is equal to 100 cents so he only earns 10 dollars. However, the costs for the machine are 125 dollars. Therefore he has a loss of 115 dollars.

Answer 2

Answer:

The answe on edgenuity2020 is b. I(n) = .25n

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Scientific notationExpress this number in scientific notation.
245,600,000,000

Answers

Answer: 2.456 x 10 to the power 11

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

2.456 x 10 to the power 11

Step-by-step explanation:

If you rent a car for one day and drive it for 100 miles, the cost is $40.00. If you drive it 220 miles, the cost is $46.00. What are the data points given?

Answers

The given data points are (100, 40) and (220, 46).

Hi, may someone help me with this question? Thank you!:)“If f(x) = x^2 + 7, find f(x+2)”

Answers

Answer:

=x^2 +4x+11

Step-by-step explanation:

f(x) = x^2 + 7,

Replace x with x+2

f(x+2) = (x+2)^2 + 7

= (x+2)(x+2) +7

FOIL

= x^2 +2x+2x+4 +7

Combine like terms

=x^2 +4x+11

Answer:

$f(x+2)=x^2+4x+11$

Step-by-step explanation:

In $f(x)=x^2+7$ , for all values of $x$ , we substitute $x$ (what is in the parentheses) into $x^2+7$ to output a $y$ value.

In $f(x+2)$ , the term $(x+2)$ is in the parentheses. Therefore, substitute $(x+2)$ for $x$ in $x^2+7$ to find $f(x+2)$ :

$f(x+2)=(x+2)^2+7$

Expand using $(a+b)^2=a^2+2ab+b^2$ ,

$f(x+2)=x^2+4x+4+7$

Combine like terms:

$\boxed{f(x+2)=x^2+4x+11}$

Suppose a spring with spring constant 7 N/m is horizontal and has one end attached to a wall and the other end attached to a 3kg mass. Suppose that the friction of the mass with the floor (i.e., the damping constant) is 3 N.s/m, and the forcing function is F(t) = 9sin (3t).

Answers

3x''+3x'+7x = 9sin 3t - to begin
then Use the method of undetermined coefficients $xp=Asin(3t)+Bcos(3t).$
Then you need to find x′p and x′′p and sub them into equation, that will help you to solve A and B.
$xp=Asin(3t)+Bcos(3t) x'p=3Acos(3t)−3Bsin(3t) x''p=−9Asin(3t)−9Bcos(3t)$
And finally you will have this :
3x′′+3x′+7x=9sin(3t)[−27Asin(3t)−27Bcos(3t)]+[9Acos(3t)−9Bsin(3t)]+[7Asin(3t)+7Bcos(3t)]=9sin(3t)(−20A+9B)sin(3t)+(−20B+9A)cos(3t)=9sin(3t)

What plus what equals 11 and what times what equals 30

Answers

The numbers that add up to 11 and multiply to 30 are 5 and 6

How to determine the numbers

From the question, we have the following parameters that can be used in our computation:

Multiply = 30

Addition = 11

Let the numbers be x and y

So, we have

xy = 30

x + y = 11

Let x be 5 and y be 6

So, we have

5 * 6 = 30

5 + 6 = 11

Hence, the numbers are 5 and 6

Answers

Answer:

-4

Step-by-step explanation:

(-7)(-1) = -8

-8+4 = -4

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