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3 years ago

Which is the product of 4^4(4^-7)(4)?

Mathematics

2 answers:

mihalych1998 [28]3 years ago

4 0

Answer:

0.0625

Step-by-step explanation:

$4^{4}$ ( $4^{-7}$ ) (4)

First lets deal with 4^4 which is 256 (4 * 4 * 4 * 4)

256 ( $4^{-7}$ ) (4 )

Then 4^-7 which is $\frac{1}{16384}$ ( this is because when 4^-7 is simplified it becomes 1/4^7 which is 1/16384.

256 ( $\frac{1}{16384}$ ) (4)

256 * $\frac{1}{16384}$ * 4= 0.0625

HOPE THIS HELPED

Degger [83]3 years ago

3 0

Answer:

1/16 or 0.0625

Step-by-step explanation:

we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.

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1/3=7/21, .. What are the means

gayaneshka [121]

Answer:

Equivelant fractions.

Step-by-step explanation:

Ask your self..

How did the 1/3 become 7/21?

Its very simple multiply 1/3's numerator and denominator by 7

So its going to be.. 1 x 7 = 7

3 x 7 = 21

Therefore, we have 7/21

3 0

2 years ago

HELP ASAP!!!!!!!!

Hoochie [10]

Answer:

Step-by-step explanation:

The set {1,2,3,4,5,6} has a total of 6! permutations

a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.

b. The next 120, including the 124th, would begin with '2'

c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1

d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3

e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).

Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).

∴ The 124th number is 213564

Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.

8 0

3 years ago

Read 2 more answers

If y= -3x7+2x3+ x, the derivative of y with respect to x is

larisa [96]

Answer:

$\frac{dy}{dx}$ = - 21 $x^{6}$ + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

Given

y = - 3 $x^{7}$ + 2x³ + x , then

$\frac{dy}{dx}$ = (7 × - 3 ) $x^{6}$ + (3 × 2)x² + (1 × 1 ) $x^{0}$

= - 21 $x^{6}$ + 6x² + 1

8 0

3 years ago

You have 10 shirts 2 of them are black what is the probability of not choosing a black shirt.

fredd [130]

80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5

7 0

3 years ago

Read 2 more answers

A researcher wants to test whether a certain sound will make rats do worse on learning tasks. It is known that an ordinary rat c

AveGali [126]

Answer:

So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

Step-by-step explanation:

In this data we have

Mean= u = 18

X= 38

Standard deviation = s= 6

1) We formulate the null and alternate hypothesis as

H0: u = 18 against Ha : u > 18 One tailed test .

2) The significance level alpha = ∝= 0.05 and Z alpha has a value ± 1.645 for one tailed test.

3)The test statistics used is

Z= X- u / s

z= 38-18/6= 3.333

4) The calculated value of z = 3.33 is greater than the z∝ = 1.645

5) So we reject the null hypothesis and accept the alternate hypothesis that rats learn slower with sound.

First we set the criteria for determining the true of value of the variable. That whether the rats learn in less or more than 18 trials.

Then we find the value of z for the given significance value given and the test about to be checked.

Then the test statistic is determined and calculated.

Then both value of z and z alpha re compared. If the test statistics falls in the rejection region reject the null hypothesis and conclude alternate hypothesis is true.

The figure shows that the calulated z value lies outside the given z values

4 0

3 years ago