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Gnoma [55]
4 years ago
8

rac{1}{5} ) {}^{x} = 125" alt="( \frac{1}{5} ) {}^{x} = 125" align="absmiddle" class="latex-formula">


​
Mathematics
1 answer:
anzhelika [568]4 years ago
8 0

Well we know that...a^{-1}=\frac{1}{a^{1} }\\.

So...(\frac{1}{5})^{-1}=\frac{1}{\frac{1}{5}^{1}}=5\\\\.

Because 5^{3}=125,

\frac{1}{5}^{-1*3}=125\\  x=-1*3=-3

answer: -3

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HELP PLEASE JUST THIS QUESTION/ ILL GIVE BRAINLIEST IF CORRECT
mote1985 [20]

Answer:

She earned $288 this week

Step-by-step explanation:

x = 12

Work = 2(12) + 8

24 + 8 = 32 hours

Earned = (12) - 3 = 9 per hour

32 × 9 = $288

I hope this helps!

6 0
3 years ago
Which of the following could be the equation for a parabola that opens down with the vertex (-11,-28)?
Mekhanik [1.2K]

Answer:y=-5(x+11)^2 -28

Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?

First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)

Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.

Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.

I hope that helps!

8 0
3 years ago
How can 5(3+2) be expressed using distributive property
Alik [6]

Answer:

5(3) 5(2)

Step-by-step explanation:

You would use the distributive property by doing

5(3) 5(2)

15 + 10

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6 0
3 years ago
Read 2 more answers
The equation gives the speed at impact, V metres per second, of an object dropped from a height of h metres. SHOW WORK From what
devlian [24]

Answer:

h = 17.65 m

Step-by-step explanation:

The given equation gives the speed at impact :

v=\sqrt{2gh}

h is height form where the object is dropped

Put v = 18.6 m/s in the above equation.

h=\dfrac{v^2}{2g}\\\\h=\dfrac{(18.6)^2}{2\times 9.8}\\\\h=17.65\ m

So, the object must be dropped from a height of 17.65 m.

4 0
3 years ago
Which shows the expression below in simplified form?
Kisachek [45]

Answer: C. 3.2 × 10^4

Step-by-step explanation:

for this case the multiplication of the values with exponent are summed, as the exponent are the 6 and -3

6 - 3 = 3

this will be the exponent of the common value which is the 10.

after you only need to multiply 8 and 4 by separate the

8 * 4 = 32.

then we only need to place the values one by one

32 × 10^3

3 is the result of the sum of the exponent.

10 is the common value.

32 is the result of the product.

if we add another zero to the multiplication we get 3.2 and exponent finish with one more zero, then we get this result

3.2 × 10^4

because of that the C is the correct answer, keep in mind that the other answers do not apply correctly the rule of the exponent, because the rest of answer give us wrong answer with final result of the exponent.

3 0
3 years ago
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