63x^18/9x^2 simplified

Answers

Answer 1

Answer:

Answer:

7x^16. Step-by-step solution in the attachment.

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if L, M, and N are collinear with M BETWEEN L and N, MN = 5, and LN = 18, then what is the length LM?

Answers

Answer:

$LM = 13$

Step-by-step explanation:

Given

$MN = 5$

$LN = 18$

Required

$Find\ LM$

Since, M is between LN, we have:

$LN = LM + MN$

Substitute values for MN and LN

$18 = LM + 5$

Make LM the subject

$LM = 18 - 5$

$LM = 13$

Determine the axis of
symmetry for y=x²+2

Answers

Answer:

x=0

Step-by-step explanation:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b/2a

in our case

y=x^2+2

a=1 b=0 c=2

so x=-b/2a=-0/2*1=0

x=0 is axis of symmetry

A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tank are thin glass which can only withstand a maximum force of 200 lb. How high (in ft) can the water reach before the sides shatter?(Assume a density of water rho = 62.4 lb/ft3.
Round your answer to two decimal places.)

Answers

The distance the in which the water will reach before it shatters will be 1.03ft

Data;

Let the integral run from surface (y = 0) to maximum depth (y = d)ft
Let the differential depth = dydt
The area of each depth = 6dy ft^2

The Force Acting at any Depth

Using integration, the force at any depth y is 62.4y lb/ft^3

$200 = \int\limits^d_0 {62.4y} \, 6dy\n 200 = \int\limits^d_0 {374.4y} \, dy\n 200 = \int\limits^6_0 {374.4y} \, dy\n 200 = [374.4/2 y^2]_0^d\n200 = 187.2(d^2 - 0)\n200 = 187.2d^2\nd^2 = 200/187.2\nd = 1.03ft$

From the calculations above, the distance in which the water will reach before it shatters is 1.03ft

Learn more on force acting at any depth;

brainly.com/question/2936875

A stop sign is in the shape of a regular octagon. Each side measures 12.4 inches and the apothem of the octagon measures 15 inches. A stop sign is shown. What is the area of the stop sign? 93 square inches 186 square inches 744 square inches 1,488 square inches

Answers

The area of the stop sign which is an octagon is 744 square inches.

Option C is the correct answer.

We have,

To find the area of the stop sign, we can use the formula for the area of a regular polygon:

Area = (1/2) × perimeter × apothem

The perimeter of the stop sign is 8 × 12.4 = 99.2 inches.

Using the given apothem of 15 inches, we can plug in the values and calculate:

Area = (1/2) × 99.2 × 15

Area = 744 square inches

Therefore,

The area of the stop sign is 744 square inches.

Learn more about octagons here:

brainly.com/question/30327829

#SPJ7

Answer:744 square inches

Step-by-step explanation:

Just did it it correct trust me

Helppp meeYou walk into a restaurant. In the room there are 10 people who are 21 years old , 3 people are 26 years old 7 people are 29 years old and 9 people who are 31 years old. 17 are men. how many people are in the restaurant.

Answers

There are 29 people in the restaurant. there are 12 Females there. (I know you didn't ask that but I thought you should know.

Hope this helped :D

Answer and I will give you brainiliest

Answers

Answer:

Step-by-step explanation:

Hope this helps u !!

Answer:

first thing B union with c { 2,3,4,5,6}

then this group intersect with A that's will be {1,2,3} intersect with { 2,3,4,5,} the result { 2,3}

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