1. Write the algebraic expression for:
"Three less than a number.”
X + 3
a.
b.
3 x
X - 3
c.
d.
3.x

Answer:

a. Three students preferred swimming over running and walking.

b. Fourteen students chose running or walking.

c. Alex and Jose preferred swimming and walking, but not running.

Interest will he pay in 10 years is $3375.

Given:

Bill is a freshman attending a 4-year college. He has been approved for a $5,000 with an APR of 6.75%.

He is not required to make any payment for 10 years since his payment will be deferred while his enroll in school.

1 year interest = 5000*6.75%

= 5000*6.75/100

= 50*6.75

= 50*675/100

= 1*675/2

= 337.5

10 years interest = 10 * 337.5

= 10 * 3375/10

= $3375.

Therefore Interest will he pay in 10 years is $3375.

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Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

Does this help?

Step-by-step explanation:

2 = 4x + 12 and angle 4 = 7x - 6

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 2

Use the slope-intercept form to find the slope and y-intercept.

Slope: 0

y-intercept: 4

Graph 2= 4x + 12

Slope: Undefined

y-intercept: No y-intercept

Plot each graph on the same coordinate system.

4=

2=

4=

2= 4x + 12

4= 7x − 6

Answer :

to find area of the square = 6 to the power 2

to find the area of the rectangle = (5x + 12) * 5x

therefore,

square's area = 36

rectangle's area = 5x*5x + 12 * 5x

= 25x * 60x

Now we have to find the sum of both the areas,

so, 36 + 1500 = 1536

Step-by-step explanation:

look I know my answer is wrong but I just wanted points! thnx for the free points! :)))))))))

NANRI! VANAKKAM!

Answer:1.5 pounds

Step-by-step explanation:

To convert ounce to pounds multiply the ounce value by 0.0625

To convert 24 ounce

24 x 0.0625=1.5

24 ounces is equal to 1.5 pounds

Answer: 1 graph A

2 graph B

3 graph C

4 the number of sales a month

Step-by-step explanation:

Answer:

It Is 186ft

Step-by-step explanation:

Answer:

The answer is 20 because when you divide 56 by 2.8 you get 20

Answer:

Step-by-step explanation:

let the total cost be y

and let the number of weeks be x

Daily Info charges

y=650+80x---------1

People's Paper charges

y=145x---------------2

equating 1 and 2 to solve for x we have

650+80x=145x

650=145x-80x

650=65x

x=650/65

x=10

Therefore the answer is 10 weeks

Answer:

hope this helps

Step-by-step explanation:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph

Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)

Answer:

Mr. McDonald's class raised $6,000 dollars.

Step-by-step explanation:

So they're are 25 students in the class and they each sold 16 raffle tickets. The easiest way to do this problem is to first find the amount of raffle tickets sold and then multiply that by 15. You could also just do 25*16*15 but that doesn't make much sense just thinking about it. So the first operation we have to do is 25*16 because multiplication is repeated addition so we're basically doing 16+16 25 times to see how much raffle tickets were sold. So that is 400 and then we multiply by 15 because each ticket sold for 15 dollars so if we sold 400 raffle tickets for 15 dollars each, again multiplication is repeated addition so we do 15+15 400 times which is 400*15=6,000. So Mr.McDonald's class raised $6,000 dollars.

Answer:

(a). \(A_{x}\) = \(\left[\begin{array}{cc}12&-4\\66&6\end{array}\right]\)

Step-by-step explanation:

\(\left \{ {{5x-4y=12} \atop {3x+6y=66}} \right.\)

A = \(\left[\begin{array}{cc}5&-4\\3&6\end{array}\right]\)

\(A_{x}\) = \(\left[\begin{array}{cc}12&-4\\66&6\end{array}\right]\)

\(A_{y}\) = \(\left[\begin{array}{cc}5&12\\3&66\end{array}\right]\)

Answer:

40 B

Step-by-step explanation:

edge 2021

Answer:

C

Step-by-step explanation:

The width of the screen is approximately 15.65 or √(245) inches. The correct answer would be an option (C).

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

The height of the screen (AB) is 14 inches, and the diagonal distance (AC) is 21 inches.

AB² + BC² = AC²

We can use these values to solve for the width of the screen (x):

x² = 21² - 14²

x²  = 441 - 196

x²  = 245

To solve for x, we can take the square root of both sides of the equation:

x = √(245)

x ≈ 15.65

Thus, the width of the screen is about 15.65 or √(245) inches.

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The different coordinates after respective rotation are:

1) A'(2, 0)

2) A'(0, -2)

3) A'(-2, 0)

There are different methods of transformation such as:

Translation

Rotation

Dilation

Reflection

Now, the coordinate of the given point A is: A(0, 2)

1) The rule for rotation of 90 degrees clockwise is:

(x, y) →(y,-x)

Thus, we have:

A'(2, 0)

2) The rule for rotation of 180 degrees is:

(x, y) → (-x,-y)

Thus, we have:

A'(0, -2)

3) The rule for rotation of 180 degrees is:

(x, y) → (-y,x)

Thus, we have:

A'(-2, 0)

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The original price of iPhones if the prices are reduced by 35% is $2,041

Let

Sale price = Original price - (Percentage discount × Original price

714.35 = x - (35% of x)

714.35 = x - 0.35x

714.35 = 0.65x

divide both sides by 0.65

x = 714.35 / 0.65

x = $2,041

In conclusion, the original price of iPhones after the discount is $2,041

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Answer:

12.2

Step-by-step explanation:

Mean = average

8 + 12 + 24 + 13 + 4 =

61

61 / 5 =

12.2

Answer:

12.2

Step-by-step explanation:

Mean is the average number in a data set.

To find the mean:

Add every data value:

8 + 12 + 24 + 13 + 4 = 61

Divide 61 by 5:

61 / 5 = 12.2

12.2 represents the mean of this data set.

Bar graphs are used to represent the frequencies of a dataset using bars.

From the frequency table (see attachment), the dataset and their frequencies are represented as:

The dataset on Mica's histogram and their frequencies are:

Notice that the frequencies of Spaghetti and Hamburger on the frequency table differs from the frequencies plotted on Mica's histogram.

This means that, the bar graph is incorrect

Although the bar graph plotted by MIca is incorrect, the best type of display is the bar graph

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The profit function for a furniture company introducing a new line of lounge chairs is P(x) =\(-8.32x^2 + 1,248x - 36,400\), where x represents the number of chairs to be manufactured and sold.

The problem provides the revenue function and cost function for a furniture company introducing a new line of lounge chairs. To find the profit function, we need to subtract the cost function from the revenue function.

The revenue function R(x) is given as 1,248x - \(8.32x^2\), where x represents the number of chairs manufactured and sold. This function calculates the total revenue obtained by the company by multiplying the number of chairs sold (x) by the price of each chair (1,248 - 8.32x).

The cost function C(x) is given as 36,400 - 83.2x. This function calculates the total cost incurred by the company to manufacture x chairs, which includes both fixed and variable costs.

To find the profit function for the furniture company, we need to subtract the cost function C(x) from the revenue function R(x):

P(x) = R(x) - C(x) = (1,248x - \(8.32x^2\)) - (36,400 - 83.2x)

Simplifying this expression, we get:

P(x) =\(-8.32x^2\) + 1,248x - 36,400

Therefore, the profit function for the furniture company is P(x) = \(-8.32x^2\) \(+ 1,248x - 36,400\).

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Answer:

x=70

Step-by-step explanation:

\(2x + 1 = 141 \\ 2x = 140 \\ x = 70\)

Answer:

x=70

Step-by-step explanation:

I hope i was right have a good day!!

Answer:

I would need the number that is being increased by 30% to get the answer.

Step-by-step explanation:

Sorry

The given function is expressd as

f(x) = 4 - 2x^2 + 5x

The first step is to find f(x + h) by substituting x = x + h into the function. Thus, we have

f(x + h) = 4 - 2(x + h)^2 + 5x

f(x + h) = 4 - 2(x^2 + hx + hx + h^2) + 5x

f(x + h) = 4 - 2x^2 - 2hx - 2hx - 2h^2 + 5x

f(x + h) = - 2x^2 - 4h^2 + 5x + 4

Difference quotient = [f(x + h) - f(x)]/h

Thus, we have

Difference quotient = [- 2x^2 - 4h^2 + 5x + 4 - (4 - 2x^2 + 5x)]/h

Difference quotient = [(- 2x^2 - 4h^2 + 5x + 4 - 4 + 2x^2 - 5x)]/h

Collecting like terms, we have

Difference quotient = [(- 2x^2 + 2x^2 - 4h^2 + 5x - 5x + 4 - 4)]/h

Difference quotient = - 4h^2/h

h cancels out

Difference quotient = - 4h

Answer:

1

Step-by-step explanation:

1.  One way to do this is converting both into improper fractions.  To do this, multiply the whole number by the denominator and add that to the numerator.

2 3/5 --> 2*5 is 10 --> 10+3 is 13.  --> 13/5

2.  This leaves us with 13/5 - 8/5

3.  Subtract the numerators

13/5 - 8/5 = 5/5

4.  Simplify.  If the numerator is the same number as the denominator, it's a whole number.

5/5 = 1

Answer:

66p

Step-by-step explanation: remove the parenthesis then multiply 6 x 11p = 66p

Answer:

A = 19

Step-by-step explanation:

A - 6 = 13

19 - 6 = 13

A = 19

I hope this helps!

Answer:

19

Step-by-step explanation:

13 + 6 = 19

19 - 6 = 13