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olganol [36]
3 years ago
8

Which expressions are equivalent to the one below? Check all that apply. log2 16 + log2 16 A. log2(28) B. 8 C. log 256 D. log2 2

56
Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

log2^256

log2(2^8)

8

Step-by-step explanation:

Just did it on A P E X

And these were correct

eduard3 years ago
3 0

Answer:

B. 8.

D.  log2 256.

Step-by-step explanation:

Generally:

loga b + loga b

= loga b^2.

Therefore log2 16 + log2 16

= log2 16^2

= log2 256.

From the above:

256 = 2^x   where x is the log.

Now 2^8 = 256   so the original log2 16 + log2 16 = 8.

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I need help understanding a solution
ryzh [129]

Answer:

What they mean is if you substitute the value given for x into the equation given, is the math statement true.

Step-by-step explanation:

1) Is x = -3 a solution to 6x + 4 = -12?

6(-3) + 4 = -18 + 4 = - 14, so no, for number 1, x = -3 is not a solution to 6x + 4 = -12

Make sense?

LMK if you need me to run the rest of them with you.

8 0
3 years ago
Read 2 more answers
The radius of circle A is r cm. The radius of circle B is twice the radius of circle A. What difference between the circumferenc
avanturin [10]

9514 1404 393

Answer:

  2πr cm

Step-by-step explanation:

The circumference of a circle of radius r is ...

  C = 2πr

For a radius of (r cm), the circumference is ...

  A = 2π(r cm) = 2πr cm

For a radius of (2r cm), the circumference is ...

  B = 2π(2r cm) = 4πr cm

Then the difference between the circumferences is ...

  B -A = (4πr cm) -(2πr cm) = 2πr cm . . . . difference in circumference

3 0
2 years ago
If you have an old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall, how many cubic fee
yuradex [85]

Answer:

The old fish tank hold <u>18.84 cubic feet</u> of water.

Step-by-step explanation:

Given:

An old fish tank in the form of a circular cylinder and it is 2 feet in diameter and 6 feet tall.

Now, to find the cubic feet of water the fish tank hold.

Dimensions of old fish tank are:

<em>Diameter is 2 feet so. we find the radius first.</em>

Radius (r) = \frac{Diameter}{2}=\frac{2}{2}=1\ feet.

Height (h) = 6\ feet.

Now, to get the cubic feet off water the tank hold we put formula:

<u><em>(Taking the value of π as 3.14.)</em></u>

Volume=\pi r^2h\\\\Volume=3.14\times 1^2\times 6\\\\Volume=3.14\times 1\times 6\\\\Volume=18.84\ cubic feet.

Therefore, the old fish tank hold 18.84 cubic feet of water.

7 0
3 years ago
The midpoint of AB is M (2,0). If the coordinates of A are, (-3, 3), what are the coordinates of B?​
gregori [183]

Given:

M is the midpoint of AB.

M(2,0) and A(-3, 3).

To find:

The coordinates of point B.

Solution:

Midpoint formula:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get

(2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)

On comparing both sides, we get

\dfrac{-3+a}{2}=2

-3+a=2\times 2

a=4+3

a=7

And,

\dfrac{3+b}{2}=0

3+b=0

3+b-3=0-3

b=-3

Therefore, the coordinates of point B are (7,-3).

5 0
2 years ago
A shipment of 12 microwave ovens contains 3 defective units. A vending company has ordered 4 of these units, and because all are
pishuonlain [190]
P(defective) = 3/12 = 1/4
P(good) = 1 - 1/4 = 3/4
P(2\ good)=4C2\times0.75^{2}\times0.25^{2}=0.211
P(3\ good)=4C3\times0.75^{3}\times0.25=0.422
P(4\ good)=0.75^{4}=0.316
The probability that at least 2 units are good is given by:
P(2 good) + P(3 good) + P(4 good) = 0.211 + 0.422 + 0.316 = 0.949.

4 0
3 years ago
Read 2 more answers
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