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Sergeeva-Olga [200]

3 years ago

14

a flat-bottom reflecting pool has length 30 yards, width 10 yards, and depth 0.3 yard. Find th e surface area of the pool and th

e volume of water it holds

1 answer:

Zigmanuir [339]3 years ago

3 0

The surface area of the object above can be calculated by summing up all the areas of the surfaces. Therefore, we will have 5 surfaces with rectangles as the shape. The volume would be the product of the length, width and the depth. We calculate as follows:

SA = 2(depth)(length) + 2(depth)(width) + (width)(length)
SA = 324 yd^2

VOlume = 30x10x.3
Volume = 90 yd^3

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I need help writing the first 5 terms of the sequence!

Angelina_Jolie [31]

The first five terms of the sequence are 1, 4, 7, 10, 13.

Solution:

Given data:

$a_{1}=1$

$a_{n}=a_{n-1}+3$

General term of the arithmetic sequence.

$a_{n}=a_{n-1}+d$ , where d is the common difference.

d = 3

$a_{n}=a_{n-1}+3$

Put n = 2 in $a_{n}=a_{n-1}+3$ , we get

$a_{2}=a_1+3$

$a_{2}=1+3$

$a_2=4$

Put n = 3 in $a_{n}=a_{n-1}+3$ , we get

$a_{3}=a_2+3$

$a_{3}=4+3$

$a_3=7$

Put n = 4 in $a_{n}=a_{n-1}+3$ , we get

$a_{4}=a_3+3$

$a_{4}=7+3$

$a_4=10$

Put n = 5 in $a_{n}=a_{n-1}+3$ , we get

$a_{5}=a_4+3$

$a_{5}=10+3$

$a_5=13$

The first five terms of the sequence are 1, 4, 7, 10, 13.

3 0

3 years ago

What is the value of the expression (x^3y^2)^0

Orlov [11]

Answer:

1

Step-by-step explanation:

6 0

4 years ago

A parabola intersects the x-axis at x=−4 and x=8.

cupoosta [38]

Answer:

C. x=2

Step-by-step explanation:

The axis of symmetry divides the parabola into two equal parts. FRom point x=-4 to x=8, the difference is 12 units and the centre is6 units on each side. Using a number line, the axis of symmetry is at point x=2

5 0

3 years ago

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Find the approximate solution(s) to each of the following equations graphically. Use technology to support your

ser-zykov [4K]

Answer: x" = 5.69

Step-by-step explanation:

The graphic solution is attached.

Verifying the solution:

Existence condition: x > 0

2x - 4 = √x + 5

√x =2x - 4 - 5

√x =2x - 9 (²)

x = (2x - 9)²

x = 4x² - 36x + 81

4x² - 36x - x + 81 = 0

4x² - 37x + 81 = 0

Δ = -37² - 4.4.81 = 1369 - 1296 = 73

x = 37 ±√73/8

x' = 3.55

x" = 5.69

checking:

2*3.55 - 4 = 3.1

√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution

2*5.69 - 4 = 7.39

√5.69 + 5 = 7.39 ∴ it's the only solution

4 0

3 years ago

Which pair of expressions represents inverse functions?

faust18 [17]

In this question , we have to find, which option represents inverse functions.

Let's check out option b

Let it be y

So we have

$y = \frac{x+3}{4x-2}$

Switching x and y and solving for y,

$x = \frac{y+3}{4y-2}$

Performing cross multiplication

$4xy -2x = y+3$

Combining like terms

$y(4x-1) = 3+2x$

$y = \frac{2x+3}{4x-1}
\\
f^{-1} (x) = \frac{2x+3}{4x-1}$

Which is same as of the other function.

So correct option is b .

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4 years ago

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