Find an equation of a parabola with a vertex at the origin and directrix y = -4

Answers

Answer 1

Answer: y=1/16x^2. This is the answer because you find the focus using the equation y=1/4px^2 and the directrix is opposite the focus

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The Museum of Science in Boston has an exhibit in which metal balls drop down a chute, bounce around, and wind up in one of 21 bins. After 1000 balls have dropped, the heights within the bins clearly follow a bell-shaped curve. If the standard deviation is 3 bins, approximately how many balls are in bins 1 through 7?A) 100B) 160C) 50C) 330
Joan bought a soft drink for 6.50 dollars and 12 candy bars. She spent a total of 65 dollars. How much did each candy bar cost? Which equation matches this problem?

Which set of integers is included in (-1,3]?(1) {0,1,2,3} (3) {-1,0,1,2,3,4}
(2) {-1,0,1,2} (4) {-2,-1,0,1,2,3}

Answers

Hello,

N={0,1,2,3,4,5,...}

(-1,3]={0,1,2,3}⊂N

Answer (1) no negative whole numbers.

Given the roll of paper towels below how much plastic would be needed to cover the role so it can be sold given the diameter of the role is 10 inches and the height is 13 inches

Answers

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

How are a trapezoid and a rectangle different

Answers

-- Both pairs of sides of a rectangle are parallel.
Only one pair of sides of a trapezoid are.

-- A rectangle is a parallelogram.
A trapezoid isn't.

-- The opposite sides of a rectangle are equal.
The opposite sides of a trapezoid aren't.

-- All of the angles of a rectangle are right angles.
The angles of a trapezoid aren't.

-- The area of a rectangle is the product of (length) times (width).
The area of a trapezoid is (height) times (the average of the two bases).

A trapezoid has two perpendicular sides, and a rectangle has 4 parallel sides.

After simplification, the value of 1-2/1(1+2)-3/(1+2)(1+2+3)-4/(1+2+3)(1+2+3+4)-...-100/(1+2+...+99)(1+2+...+100) is a proper fraction in its lowest form. Find the difference of its numerator and denominator.

Answers

Answer: no

Step-by-step explanationn. .......................................................w:eorkeok,feoferkeorkoe

A bakery sold 57 vanilla cupcakes in a day, which was 95% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer:

Step-by-step explanation:

the total cupcakes are:

(57/95) . 100 = 60

What are the measurements???

Answers

Answer:

angle 4 is 31

angle 5 is 59.

Step-by-step explanation:

M<4 and M<5 add up to a right angle which is 90 degrees . so you put it in a equation form.

2x-5+4x-13=90

rearrange it

2x+4x-5-13=90

6x-18=90

add 18 on both sides

6x=108

divide 6 from both sides

and you get x= 18

Plug in x for angle 4 =2(18)-5 = 31

plug in x for angle 5 = 4(18)-13 = 59

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