MATHEMATICS COLLEGE

The average (A) of two numbers, m and n, is given by the formula A = m+t/2 . Findthe average of the two numbers 36 and 72.
The solution is

Answers

Answer 1
Answer:

Answer:

54

Step-by-step explanation:

Formula for average A of two numbers m and n is:

A=(m+n)/(2)

Substitute the value m=36 and n=72

A=(36+72)/(2)

This is equivalent to:

A=(108)/(2)

The average is:

A=54

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Does sine inverse have an exponent? If not, why is there a negative one there? If so, why can't you just divide?

Answers

Answer:

see below

Step-by-step explanation:

the actual way of writing sin inverse is arcsine, not sin⁻¹

since the output of sin is from -1 to 1, the domain of arsince is from -1 to 1. This is different than 1/sin(x), whose domain is all real numbers. we now write sin⁻¹ to fit it on the tiny buttons on our calculators

A rock falls off a balcony. It's height (in feet) is given by the formula f(x)=-16t^2+13.4t+120, where t is measured in seconds. How long will it take the rock to hit the ground? Round your answers to the nearest three decimal places.

Answers

Answer:

  3.189 seconds

Step-by-step explanation:

You want f(t) = 0, so ...

  0 = -16t^2 +13.4t +120

  0 = t^2 -0.8375t -7.5 . . . . divide by -16

  0 = (t^2 -0.8375t +0.41875^2) -7.5 -0.41875^2 . . . . complete the square*

  0 = (t -0.41875)^2 -7.6753515625 . . . . write as a square

  √7.6753515625 = t -0.41875 . . . . . . . . add 7.67... and take positive root

  t = 0.41875 +√7.6753515625 ≈ 3.189192 . . . . add 0.41875

It will take the rock about 3.189 seconds to hit the ground.

_____

* We complete the square by adding the square of half the coefficient of the linear term (= (-0.8375/2)^2) inside parentheses and subtracting the same amount outside parentheses. This gives a form inside parentheses that is ...

  (t^2 -2at +a^2) = (t -a)^2

Completing the square is complicated a little bit by a leading coefficient that is not 1. That is why we divided by -16 first.

_____

Comment on the question

We note that the rock "falls" from the 120 foot high balcony by first traveling upward at a rate of 13.4 feet per second. We also note that the height function is written f(x), but uses t as the variable. That is, it should be f(t) = ...

What is a3 if an=64(12)n−1

Answers

Answer:

\huge\boxed{a_3=9,216}

Step-by-step explanation:

a_n=64(12)^(n-1)\n\n\text{substitute}\ n=3:\n\na_3=64(12)^(3-1)=64(12)^2=64(144)=9,216

How much pure alcohol must a pharmacist add to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution? ASAP

Answers

20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.

Let x represent the volume of pure alcohol (100%) in cm³ needed to be added. Hence:

x * 100% + 10 cm³ * 10% = 70% * (x + 10 cm³)

x * 1 + 10 * 0.1 = 0.7 * (x + 10)

x + 1 = 0.7x + 7

x - 0.7x = 7 - 1

0.3x = 6

x = 20 cm³

Therefore 20 cm³ of pure alcohol is added to 10 cm of a 10% alcohol solution to strengthen it to a 70% solution.

Find out more on equation at: brainly.com/question/13763238

Answer:

20 cm³

Step-by-step explanation:

PLZ IM ON THE CLOCK!!!!! A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store can stock no more than 80 balls total during a single month. What is the maximum profit the store can make from selling footballs and baseballs in a typical month? $457.50 $460.00 $462.50 $572.50

Answers

Answer:

460

Step-by-step explanation:

Answer:

460

Step-by-step explanation:

-3(-5)+7y=5(-5)+2y solve for y

Answers

Answer:

-2

Step-by-step explanation:

-15+7y=-25+2y

7y-2y=-25+15

5y= -10

5y/5= -10/5

y= -2

Answer:

y= -17/5 or -3.4

Step-by-step explanation:

-8+7y= -25+2y

5y= -17

y= -17/5 or -3.4
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