MATHEMATICS HIGH SCHOOL

The surface area of a cone is given by the formula S = πl + πr2. Solve the formula for l.

Answers

Answer 1
Answer: Hello,

S-πr²=πl

l=(S-πr²)/π
Answer 2
Answer:

Answer:  l = s/n – r2

Step-by-step explanation:

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How do I solve #38?

Percy works two part-time jobs to help pay for college classes. On Monday, he works 3 hours at the library and 2 hours at the coffee cart and earns $36.50. On Tuesday, he works 2 hours at the library and 5 hours at the coffee cart and earns $50. His hourly wage at the library, x, and hourly wage at the coffee cart, y, can be determined using the system of equations below.3x + 2y = 36.50

2x + 5y = 50.00



At which job does Percy earn the greater hourly wage? How much does Percy earn each hour at this job?

Answers

The answer is C. Percy earns a greater hourly wage of $7.50 at the library.

Carole earns $2.50 for each gadget she completes. What was her gross pay if she completed 145 gadgetslast week?

Answers

2.50 per gadget multiplied by 145 gadgets is a total of 362.50.

The director of marketing at a large company wants to determine if the amount of money spent on internet marketing is a good predictor of company profit. She fits a least-squares regression line to 20 months of data and computes the following regression line:Profit = 372.6 + 17.2(advertising dollars)
What is the value of the residual for advertising dollars spent equal to $1,020 and Profit equal to $17,500? Round to the nearest integer.

Answers

Given:
Profit = 372.6 + 17.2(advertising dollars)
advertising dollars = 1,020
profit = 17,500

Profit = 372.6 + 17.2(advertising dollars)

We'll just input the amount specified in the equation. 
17,500 = 372.6 + 17.2 (1020)
17,500 = 372.6 + 17,544
17,500 = 17,916.60

As you can see, the values do not equal. Its difference is the residual value.

17,916.60 - 17,500 = 416.60 residual value

What is the sum of 15 and the opposite of 13?

Answers

Answer:

2

Step-by-step explanation:

15+-13 = 2

Write in vertex form (by completing the square)y=4x2+40x+96

Answers

y=4x^2+40x+96\n \n The \ vertex \ form \ of \ the \ function \ is: \n \ny = a(x - h)^2 + k \n \nvertex =(h, k) \ is \ given \ by: \n \nh = (-b)/(2a) , \ \ \ k = c -(b^2)/(4a) \n \na=4 , \ \ b=40 , \ \ c=96

h = (-40)/(2 \cdot 4)=(-40)/(8)=-5 \n \n k = 96 -(40^2)/(4 \cdot 4) =96-(1600)/(16) =96-100=-4 \n \n y = 4(x - (-5) )^2 + (-5)=4(x +5 )^2 -5

Find 3 consecutive odd integers whose sum is 225, explain please

Answers

3 odd integers have a property that they average up to the middle large one. Let's say we have 3, 5, and 7. 3 is 2 less than 5 and 7 is 2 more than 5. so when you add them it equals 2 times 5. 
After we know that, the sum of 3 odd integers is just 3 times the middle number. ex. 3+5+7 = 3 times 5 = 15
Then we know the some number times three = 225. we find out that the middle number is 75, so the other two are 73 and 77
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