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2 years ago

Show work please find the volume of the following irregular space figure to the nearest whole number

Mathematics

1 answer:

artcher [175]2 years ago

8 0

Answer:

144cm^3

Step-by-step explanation:

1) split the figure so you can find the volume of two rectangular prisms.

2) Find the volume of the first rectangular prism with the measurements of 2, 5, and 8. So the volume is 80

3) Find the volume of the second rectangular prism with the measurements of 4, 2, and 8. So you have 64

4) Add the two values 80+64.

5) Then that's your answer; 144

Hope this helps! :D

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Find the product of all positive divisors of 288.

irinina [24]

Answer:

The answer is 1.514571894×10^21.

Step-by-step explanation:

Here, the divisors of 288 are,

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288.

now, their product =1×2×3×4×6×8×9×12×16×18×24×32×36×48×72×96×144×288

=1.514571894×10^21.

is answer. 

Hope it helps...

6 0

2 years ago

Read 2 more answers

Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

2 years ago

The function g(x) = 8x2 – 48x + 65 written in vertex form is g(x) = 8(x – 3)2 – 7. What is the vertex of g(x)?

maksim [4K]

The answer is (3, -7). If the function is written in the form y = a(x – h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x + 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2 – 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8 * 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7. The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k = -7. Thus, the vertex is (3, -7).

4 0

3 years ago

Read 2 more answers

Given the equation, C = P + (P)(T), what is the final cost of a cell phone priced at $20.00 with a tax rate of 5%?

sergij07 [2.7K]

Answer: Answer is $21

Step-by-step explanation:

Using the equation C = P + (P)(T)

where P= $20

T= 5%; 5/100 = 0.05

Substitute the figures in the equation,

$20 + $20 (0.05)

Apply BODMAS and open bracket first

$20 + $1

= $21

6 0

2 years ago

Events M and N are independent events. In this scenario, if P(M) = 0.46 and P(M and N) = 0.138, then P(N) = .

Oksi-84 [34.3K]

Answer:

P(N)=0.3

Step-by-step explanation:

Given: P(M)= 0.46, P(M and N)=0.138

Using P(M) ×P(N)= P(M and N)

⇒0.46×P(N)= 0.138

⇒P(N)= $\frac{0.138}{0.46}$

⇒P(N)=0.3

7 0

3 years ago

Read 2 more answers