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3 years ago

16x6 – 81 = I need help on this

Mathematics

2 answers:

grigory [225]3 years ago

8 0

The answer would be 15 it’s very easy

kipiarov [429]3 years ago

6 0

Answer:

Step-by-step explanation:

16 x 6 = 96

96 - 81 = 15

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Which expression is equivalent to (256x^16)^1/4<br> A.4x^2<br> B.4x^4<br> C. 64x^2<br> D. 64x^4

antiseptic1488 [7]

Given expression: $(256x^{16})^{1/4}$ .

$\mathrm{Apply\:exponent\:rule}:\quad \left(a\cdot \:b\right)^n=a^nb^n$

$=256^{\frac{1}{4}}\left(x^{16}\right)^{\frac{1}{4}}$

$256=4^4$

$256^{\frac{1}{4}}=\left(4^4\right)^{\frac{1}{4}}=4$

$\left(x^{16}\right)^{\frac{1}{4}}=x^{16\cdot \frac{1}{4}}=x^4$

$(256x^{16})^{1/4} =4x^4$

<h3>Therefore, correct option is B option : B.4x^4</h3>

6 0

3 years ago

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.

We know that height of sphere is equal to its radius. This means that $r=h$ .

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$

$\text{Volume of cylinder}=\pi r^2 h$

Using $r=h$ , we will get:

$\text{Volume of cylinder}=\pi r^2\cdot r$

$\text{Volume of cylinder}=\pi r^3$

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is $\frac{4}{3}$ times volume of cylinder.

$\pi r^3=21$

$\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21$

$\frac{4}{3}\pi r^3=4\cdot 7$

$\frac{4}{3}\pi r^3=28$

Therefore, the volume of the sphere would be 28 cubic meters.

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3 years ago

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There are 2 Rectangles, a red one and a blue one.The Blue rectangle has the perimeter of 250 km. If the area of the red rectangl

kap26 [50]

Answer:a

Step-by-step explanation:

7 0

3 years ago

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find the coordinates of the vertex of the following parabola algebraically. write your answer as an (x,y) point..y=x²+9

Alexandra [31]

Explanation:

using the parabola formula:

y = a(x-h)² + k²

vertex = (h, k)

We are given a parebola equation of: y = x²+9

comparing both equations to get the vertex:

y = y

a = 1

(x-h)² = x²

x² = (x + 0)²

(x-h)² = (x + 0)²

h = 0

+k = +9

k = 9

The vertex of the parabola as (x, y): (0, 9)

3 0

1 year ago

A right triangle has side lengths 7, 24, and 25 as shown below.

Alla [95]

9514 1404 393

Answer:

tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25

Step-by-step explanation:

The mnemonic SOH CAH TOA can help you remember the trig ratios:

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...

tan(A) = 7/24

sin(A) = 7/25

cos(A) = 24/25

5 0

3 years ago