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lyudmila [28]
2 years ago
11

The expression can be rewritten as

Mathematics
2 answers:
Contact [7]2 years ago
6 0
81^3/4

Which happens to be 27.
bija089 [108]2 years ago
3 0

Answer:

27

Step-by-step explanation:

(\sqrt[4]{81})^3

The rule to convert radical form into exponential form is

(\sqrt[n]{x})^m = x ^\frac{m}{n}

First we write the given radical form in exponential form

(\sqrt[4]{81})^3=81^\frac{3}{4}

81 = 3*3*3*3= 3^4

Replace 81 with 3^4

(\sqrt[4]{81})^3=(3^4)^\frac{3}{4}

Now we simplify the exponent, multiply 4 and 3/4

(\sqrt[4]{81})^3=(3^4)^\frac{3}{4}= 3^3= 27

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Gianna invested $30,000 in an account paying an interest rate of 1.9% compounded
Ganezh [65]

Answer:

5,095,068

Step-by-step explanation:

The equation for this problem is x^y * z where x is the percentage, Y is the number of years, and Z is the original deposit. Multiply 1.9^8 * 30,000 which becomes; 5,095,068.

Whoever has that bank account is going to be very rich.

3 0
3 years ago
The graph of the function f(x) = (x − 3)(x + 1) is shown.
Nutka1998 [239]
Option A. All the real values of x where x < -1

Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.

1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1

The intersection is x >3

2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1

the intersection is x<-1.

We have obtained that the function is positive for the intervals  x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.

You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the  first interval and increasing in the second interval.
6 0
2 years ago
Read 2 more answers
Find the average rate of change (-4,-7)(-2,3)
Basile [38]
The average rate of change is m=5.
Hope this helped.
6 0
3 years ago
Resuelve el siguiente problema aplicando las estrategias de solución de problemas.
scoundrel [369]
Say it in english so i cant try to help
7 0
2 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
2 years ago
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