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kari74 [83]
3 years ago
5

Simplify ........ (256y²⁵⁶) ⅛help asap!!!!!​

Mathematics
1 answer:
AVprozaik [17]3 years ago
7 0

Answer:

2y^32

Step-by-step explanation:

Since 2^8 = 256, the eighth root of 256 is 2.

Next, we find the power of y by multiplying 256 and 1/8:  result is 32.

Complete answer:  2y^32

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You deposit the same $10,000 into a bank account at 4% annual interest. How long will it take for the $10,000 to compound to $30
Readme [11.4K]

Answer:

time = 28 years

Step-by-step explanation:

Given,

principal amount = $10,000

rate = 4%

total amount = $30,000

According to compound interest formula

A\ =\ P(1+r)^t

where, A = total amount

            P = principal amount

            r = rate

            t = time in years

so, from the question we can write,

30000\ =\ 10000(1+0.04)^t

=>\ \dfrac{30000}{10000}\ =\ (1+0.04)^t

=>\ 3\ =\ (1.04)^t

by taking log on both sides, we will get

=> log3 = t.log(1.04)

=>\ t\ =\ \dfrac{log3}{log1.04}

=> t = 28.01

So, the time taken to get the amount from 10000 to 30000 is 28 years.

8 0
3 years ago
Find any points of discontinuity for each rational function. Sketch a graph. Describe any verticals or horizontal asympyoyes and
AVprozaik [17]
For
  y = (x^2 -4)/((x +2)(x^2 -49))
the numerator factors to (x -2)(x +2), so the factor of (x +2) will cancel with that in the denominator, leaving
  y = (x -2)/(x^2 -49)

There are points of discontinuity at the hole, x=-2, and at each of the vertical asymptotes, at x=-7, +7.
The horizontal asymptote is y=0.

5 0
3 years ago
Perchlorate is a chemical used in rocket fuel. People who live near a former rocket-testing site are concerned that perchlorate
ser-zykov [4K]

Answer:

H_1 : \mu  > 24.5

Step-by-step explanation:

From the given information:

The sample size is 28

The population mean is 24.5 (ppb)

The sample mean is 225.3 (ppb)

Thus, the null and the alternative hypothesis can be computed as:

Null hypothesis:

H_o : \mu \le 24.5

Alternative hypothesis:

H_1 : \mu  > 24.5

8 0
3 years ago
PLEASE HELP URGENTLY! ASAP RIGHT ANSWERS WILL BE MARKED BRAINLIEST!!!
WINSTONCH [101]

Answer:

Step-by-step explanation:

the formula for the circumference of a circle is 2rπ

the formula for the area of a circle is (r^2)π

the formula for the diameter of a circle is 2r

π=3.14

---------------------------------------------------------------

1. diameter =2r.    since diameter=24, r=12

2. circumference=2rπ.     since circumference = 314.     314=2rπ       r=49.9746

3. circumference=2rπ                                           area=(r^2)π

   since r=7, circumference=14π=43.98229      since r=7, area is 49π=153.9380

4. Since the diameter is 20 the radius is 10. so just insert it into the formulas as before:    circumference=20π=62.8318 and area=100π=314.15926

5.  the formula for the diameter is 2r=d        2(18)=d,    36=d

6. 2rπ=circumference = 2(5)π=10π=31.415926

Hope that helps :)

8 0
2 years ago
What is the median?<br><br> 637743
Mariulka [41]

Answer:

5

Step-by-step explanation:

Put the numbers in order then find the middle number. 334677

Here there are two middle numbers, 4, and 6. Add 4 and 6 together, 10 then divide by 2, 5. So the median is 5! Hope this was helpful have a Great day!!!

8 0
2 years ago
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