MATHEMATICS
MIDDLE SCHOOL

Answer: Add 55 and 15 then divide the answer by 2 and you'll get 35

MIDDLE SCHOOL

An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in ˚C. What is the y-intercept of the function?

An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in ˚C.

To find the y intercept , we plug in 0 for t

y intercept is the value , where time is 0 minutes

so we plug in 0 for t and find out y(0)

y(t)=−14t+500

y(0)=−14(0)+500 = 500

When t=0 , the value of y = 500

So , y intercept is (0,500)

HIGH SCHOOL

Suppose 3s represents an even integer. What polynomial represents the product of 3s, the even integer that comes just before 3s, and the even integer that comes just after 3s?. . A) 27s^3 + 12s. B) 27s^3 - 3s. C) 27s^3 - 12s. D) 3s^3 - 12s

Out of the following choices given, the polynomial that represents the product of 3s, the even integer that comes just before 3s, and the even integer that comes just before 3s, and the even integer that comes just after the 3s is 27s^3-12s. The correct answer is C.

MIDDLE SCHOOL

For A Sunday Brunch, Alisha is making a recipe that requires 8 cups of milk. She has 3 quarts of milk. Does she have enough for the recipe? Explain your answer using numbers and words.

She has more than enough because with 8 cups you only need 2 quarts. She has 3 which gives her 12 cups.

COLLEGE

The Greek method for finding the equation of the tangent line to a circle uses the fact that at any point on the circle the lines containing the center and the tangent line are perpendicular. Use this method to find an equation of the tangent line to the circle x squared plus y squared equals 49 at the point (1 comma 4 StartRoot 3 EndRoot ).

Answer:

Step-by-step explanation:

Given circle has equation as

Center = P(0,0)

The point of contact of tangent = Q

Since tangent is perpendicular to the radius at the point of contact, we have

Slope = as slope of perpendicular to tangent

So tangent slope would be

-1/slope of this line

=

We have point on this line as given point

So using point slope form equation of tangent is

HIGH SCHOOL

What is the volume of the cone? (Use 3.14 for π .) the height is 17ft nd the radius is 10ft

Cone Volume = (π • r² • h) ÷ 3

Cone Volume = (3.14 * 100 * 17) / 3

Cone Volume = 5,338 / 3

Cone Volume = 1,779.33

Cone Volume = (3.14 * 100 * 17) / 3

Cone Volume = 5,338 / 3

Cone Volume = 1,779.33

HIGH SCHOOL

If a rectangle has an area of 2x^2+7x+3 find the perimeter

Answer:

Perimeter of the rectangle=6x+8 square units

Step-by-step explanation:

Given that area of rectangle is

Area of rectangle=lw square units

Comparing the above equation with the given area we get

lw=(x+3)(2x+1)

Therefore length=x+3 and width=2x+1

To find the perimeter :

Perimeter of the rectangle=2(l+w) square units

Therefore perimeter of the rectangle=6x+8 square units

HIGH SCHOOL

Wilma can mow a lawn in 80 mintues.Melissa can mow the same lawn in 120 minutes. How long does it take for both Wilma and Melissa to mow the lawn if they working together ?

There is a formula for that;

Total time = (Worker 1 * Worker 2) / (Worker 1 + Worker 2)

Total time = (80 * 120) / (80 + 120)

Total time = 9,600 / 200

Total time = 48 minutes

Total time = (Worker 1 * Worker 2) / (Worker 1 + Worker 2)

Total time = (80 * 120) / (80 + 120)

Total time = 9,600 / 200

Total time = 48 minutes

MIDDLE SCHOOL

What is p+1/4=2 answer???????

If you would like to solve the equation p + 1/4 = 2, you can calculate this using the following steps:

p + 1/4 = 2

p = 2 - 1/4

p = 8/4 - 1/4

p = 7/4 = 1 3/4

The correct result would be 1 3/4.

p + 1/4 = 2

p = 2 - 1/4

p = 8/4 - 1/4

p = 7/4 = 1 3/4

The correct result would be 1 3/4.

P+ 1/4= 2

⇒ p= 2 -1/4

⇒ p= 2* (4/4) -1/4 (because 4/4= 1)

⇒ p= (2*4)/4 -1/4

⇒ p= 8/4 -1/4

⇒ p= 7/4

⇒ p= (4+3)/4

⇒ p= 4/4+ 3/4

⇒ p= 1+ 3/4

⇒ p= 1 3/4

Final answer: p= 1 3/4~

⇒ p= 2 -1/4

⇒ p= 2* (4/4) -1/4 (because 4/4= 1)

⇒ p= (2*4)/4 -1/4

⇒ p= 8/4 -1/4

⇒ p= 7/4

⇒ p= (4+3)/4

⇒ p= 4/4+ 3/4

⇒ p= 1+ 3/4

⇒ p= 1 3/4

Final answer: p= 1 3/4~

HIGH SCHOOL

A 31-in. television has a 31 in. diagonal and a 18 in. width. what is the height of the 31-in. television?

By the Pythagorean theorem: