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Svetlanka [38]
3 years ago
10

What’s the value of b?? right answers

Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0
<h3>You are correct. The answer is b = -6</h3>

The rules used here are

  • (a^b)^c = a^(b*c) ... multiply exponents, base stays the same
  • a^(-b) = 1/(a^b) .... use reciprocal to get the exponent positive

The first rule mentioned has us multiply the exponents b and 4 to get 4b. Then use the second rule to turn 1/(y^24) into y^(-24). So we can see that 4b = -24 leads to b = -6 after dividing both sides by 4.

You might be interested in
Evaluate the limit. lim x-&gt; infinity n/3^x
Sav [38]

Answer:

0

Step-by-step explanation:

Find the following limit:

lim_(x->∞) 3^(-x) n

Applying the quotient rule, write lim_(x->∞) n 3^(-x) as (lim_(x->∞) n)/(lim_(x->∞) 3^x):

n/(lim_(x->∞) 3^x)

Using the fact that 3^x is a continuous function of x, write lim_(x->∞) 3^x as 3^(lim_(x->∞) x):

n/3^(lim_(x->∞) x)

lim_(x->∞) x = ∞:

n/3^∞

n/3^∞ = 0:

Answer:  0

7 0
3 years ago
What is the simplified form of 15 x to the eighth power over 24 y to the fifth power divided by 4 x to the fourth power over 8 s
IRISSAK [1]
The exponent symbol when typing is ^. so I so rewrite this for you.
(15x^8 / 24y^5) / (4x^4 / 8y^2)

I assumed you meant 8y squared because you said 8 squared.

now when we divide by a fraction, we can actually multiply by it's reciprocal and get the same thing. The word reciprocal really just means flip it over. so:

(15x^8 / 24y^5) * (8y^2 / 4x^4)

let's reduce the coefficients ( the numbers in front of the x and y) to make it easier.

We have 15/24 which can be reduced to 5/8
and 8/4 which is 2/1

so:
(5x^8 / 8y^5) * (2y^2 / x^4)

multiply numerator and denominator
(10x^8y^2) / (8x^4y^5)

now reduce coeffient. 10/8 is 5/4
reduce x: x^8/x^4 is x^4
reduce y: y^2/y^5 is 1/y^3

now put together
5x^4 / 4y^3

so C
3 0
3 years ago
Which graph shows the solution to the inequality -3x-7 &lt;20?​
ki77a [65]

Answer:

x > -9

Step-by-step explanation:

The solution to the inequality is obtained as follows:

-3x -7 < 20

-3x - 7 + 7 < 20 + 7

-3x < 27

-3x/(-3) > 27/(-3)

x > -9

Notice that when you divide by a negative number, the inequality sign changes.

In the picture attached, the graph of the solution s shown. Notice that -9 is not included in the solution.

4 0
3 years ago
In this triangle, what is the value of X?
vovangra [49]

Answer:

The measure of angle x is 26.1\°

Step-by-step explanation:

we know that

In the right triangle of the figure, the tangent of angle x is equal to divide the opposite side to angle x by the adjacent side to angle x

so

tan(x)=\frac{26}{53}

x=arctan(\frac{26}{53})=26.1\°

3 0
3 years ago
Is 62 divisible by 9 ye
Aleksandr [31]

Answer: no

Step-by-step explanation:

No it is not evenly divided ( 6.8888)

5 0
3 years ago
Read 2 more answers
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