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3 years ago

Which expressions are equivalent to the one below? Check all that apply.

Mathematics

1 answer:

Paha777 [63]3 years ago

8 0

Answer:

The answer is C.

Step-by-step explanation:

You have to apply Logarithm Law,

$log( {a}^{n} ) \: ⇒ \: n log(a)$

So for this question :

$log( {10}^{3} ) = 3 log(10)$

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What is the constant of this proportionality for 1 4, 2 8, 3 12, 4,16

laiz [17]

Answer:

k = 4

Step-by-step explanation:

The constant of proportionality is found by starting with y = kx, then finding k.

We can just use one point (such as the first one, (1,4) ) and substitute these values of x and y into the equation y = kx, to get:

4 = k x1

k = 4.

So y = 4x

(we can also check that all the other points also satisfy this equation - which they do, as each y value is 4 times the corresponding x value)

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3 years ago

Alicia and her friends went out for lunch during the week. The bill for all four of the woman was $96. The women decided that th

expeople1 [14]

Answer:

The amount of that tip is $19.20

Step-by-step explanation:

Turn the percent into a decimal, 20% is now .20.

Multiply- 96×.20= 19.20

3 0

3 years ago

You have to be 60 inches tall to ride the roller coaster. How many feet tall is this?

Aloiza [94]

Answer:

5 ft.

Step-by-step explanation:

Since 1 foot is 12 inches, and you have to be 60 inches tall, than you would divide 60 by 12. which is 5. So it will be 5ft.

3 0

3 years ago

Read 2 more answers

Solve the iniequality 3x-3<9

expeople1 [14]

Answer:

$3x < 3 + 9 \\ \\ 3x < 12 \\ \\ x = 4$

8 0

2 years ago

Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not

4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

$\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\$

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back $x=4$ , we will get two fractions with zero denominator which would be undefined.

7 0

3 years ago