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Jobisdone [24]
3 years ago
5

Find the volume of the rectangular prism.

Mathematics
1 answer:
Georgia [21]3 years ago
8 0

Answer:

D, 576

Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply all of the side lengths together. 4*9*16=576, or answer choice D.

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Solve x4 – 17x2 + 16 = 0.<br> Let u =<br> Select all of the zeroes of the function. i i
Soloha48 [4]

Solve \ x^4 - 17x^2 + 16 = 0

To solve this equation , we need to write it in quadratic form

ax^2+bx+c=0

To get the equation in quadratic form we replace x^2 with u

x^2 = u

x^4 - 17x^2 + 16 = 0 can be written as

(x^2)^2 - 17x^2 + 16 = 0, Replace u for x^2

So equation becomes

u^2 - 17u + 16 = 0

Now we factor the left hand side

-16  and -1  are the two factors whose product is +16  and sum is -17

(u-16) (u-1) = 0

u -16 = 0  so u=16

u-1 =0  so u=1

WE assume u = x^2, Now we replace u with x^2

u = 16 so \ it \ becomes \ x^2 =16

Now take square root on both sides , x= +4  and x=-4

u = 1 so \ it \ becomes \ x^2 =1

Now take square root on both sides , x= +1  and x=-1

So zeros of the function are -4, -1, 1, 4


8 0
2 years ago
Read 2 more answers
(Refer to the attached image)​
DENIUS [597]
<h3>Answer:  9 meters</h3>

===========================================

Work Shown:

  • side a = 8
  • side b = 5
  • angle C = 88 degrees

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

c^2 = 64 + 25 - 80*cos(88)

c^2 = 86.2080403

c = sqrt(86.2080403)

c = 9.2848285

c = 9

Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.

5 0
1 year ago
PLEASE HELP ME ASAP!! ILL MARK BRIANLIEST AND GIVE EXTRA POINTS
lara [203]

Q1

Answer:

x \leqslant  \frac{5}{3}

Step-by-step explanation:

3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant  \frac{5}{3}

explanation for second step:

you divide each side by 3 to get rid of the '3' in '3x'

6 0
3 years ago
Scientists studying dolphin echolocation simulate the projection of a bottlenose dolphin's clicking sounds using computer
lina2011 [118]

Step-by-step explanation:

The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:

(y - k)^2 = 4 * f * (x - h)

In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:

y^2 = 4 * f * x

  = 4 * (-1.3) * x

  = -5.2x

The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.

4 0
1 year ago
Rationalize the denominator and simplify.<br><br> 5 / 4 - sqrt 3
Whitepunk [10]

Answer:\frac{20+5\sqrt[]{3} }{13}

Step-by-step explanation:

4 0
3 years ago
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