a mechanic rotates the octagonal nut shown clockwise about its center, what is the angle of rotation that moves position 8 to position 5?

Answer:

( 9 x^ 2 + 4 y ^2 ) ( 3 x + 2 y ) ( 3 x − 2 y )

The completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

Apply the difference of squares formula:

(9x^2)^2 - (4y^2)^2

Factor the difference of squares:

(9x^2 + 4y^2)(9x^2 - 4y^2)

Apply the difference of squares formula again:

(3x)^2 + (2y)^2

(3x)^2 - (2y)^2

Factor the difference of squares:

(3x + 2y)(3x - 2y)

Putting it all together, the completely factored form of the polynomial 81x^4 - 16y^4 is:

(3x + 2y)(3x - 2y)(9x^2 + 4y^2)(9x^2 - 4y^2)

Learn more on polynomials here https://brainly.com/question/4142886

#SPJ2

Answer:

A

Step-by-step explanation:

Answer:

−16y+6

Step-by-step explanation:

2(3−8y)

=(2)(3+−8y)

=(2)(3)+(2)(−8y)

=6−16y

=−16y+6

Answer:

6-16y

Step-by-step explanation:

2(3-8y)

distibute 6-16y

Answer:

Kindly check explanation

Step-by-step explanation:

Given tbe data :

21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5

Ordered data : 2, 2, 3, 5, 5, 5, 6, 13, 15, 16, 18, 21, 25

Mean, m = Σx /n

Σx = 136

n = sample size = 13

m = Σx / n = 136 / 13 = 10.46

Mode, = 5 (most frequently occurring with frequency of 5)

Median = 1/2(n+1)th term = 1/2(14) = 7th term = 6

Range = maximum - minimum = [25 - 2] = 23

Variance : (V) = Σ(x - m)²/n-1

V = [(2-10.46)^2 + (2-10.46)^2 + (3-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (6-10.46)^2 + (13-10.46)^2 + (15-10.46)^2 + (16-10.46)^2 + (18-10.46)^2 + (21-10.46)^2 + (25-10.46)^2] / (13-1)

= 745.2308 / 12

= 62.10

Standard deviation = sqrt(V) = sqrt(62.10) = 7.88

2.)

X : 6, 45, 52, 43, 48, 41, 50, 48

Reordered data, X: 6, 41, 43, 45, 48, 48, 50, 52

Mean, m = Σx /n

Σx = 333

n = sample size = 8

m = Σx / n = 333 / 8 = 41.625

Median = 1/2 (n+1)th term = 46.5

Range = 52 - 6 = 46

Mode = 48 (highest occurring frequency of 2)

Variance (V) = Σ(x - m)²/n-1

V = [(6-41.625)^2 + (41-41.625)^2 + (43-41.625)^2 + (45-41.625)^2 + (48-41.626)^2 + (48-41.625)^2 + (50-41.625)^2 + (52-41.625)^2] / 5

= 1541.862251 / 7

= 220.27

Standard deviation = sqrt(Variance)

Standard deviation = sqrt(220.26603)

Standard deviation = 14.84

The median

Answer:

12(3+5)

Step-by-step explanation:

You factor out 12 because it is the GCF, then you divide 36 and 60 by 12.

36 + 60 as a product using the GCF as one of the factors is 12(3 + 5).

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, 36 + 60 now the common factors of 36 and 60 are 2, 3, 6, 12

∴ The GCF of 36 and 60 is 12.

So, 36 + 60 as a product can be written as

36 + 60.

12(3 + 5).

learn more about GCF here :

https://brainly.com/question/11444998

#SPJ2

Answer:

(D) 18ft per second

Step-by-step explanation:

the average of the height of the ball is increasing from t=0 to t=2.

Answer:

Step-by-step explanation:

Basically, since we know that the ticket gives the $2.50 discount we know that the d value will be always $2.5 less than the corresponding p value. The only table that follows that rule is option A).

Answer:

At most 25% of homes will have a monthly utility bill of less than $105.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question, we have that:

The mean is $123.

The standard deviation is $9.

What percentage of homes will have a monthly utility bill of less than $105

105 = 123 - 2*9

So 105 is two standard deviations below the mean.

We have that, by the Chebyshev Theorem, at least 75% of the measures will be within 2 standard deviations from the mean, so at most 25% of the measures will be more than two standard deviations of the mean(greater than 141 ou lesser than 105).

So at most 25% of homes will have a monthly utility bill of less than $105

Answer:

A

Step-by-step explanation:

The month of June has  40 sweets

Let the number of sweets in the month of June be  P

Given that April,  May and June collectively have 90 sweets

Given that May has three quarters of number of sweets as that of June

So we can write

[tex]\rm Number\; of \; sweets\; in \; May = \dfrac{3P}{4 } .......(1) \\[/tex]

Similarly it is given that April has two third of sweets as that of May month and hence we can write

[tex]\rm Number\; of\; sweets \; in \; April = \dfrac{2}{3} \times \dfrac{3P}{4} = P/2 ......(2)\\[/tex]

As the total number of sweets in  April,  May and June is  90

Let the number of sweets in  May be "M" and in April be "A"

We can write the following equation and solve it further

[tex]\rm M + A + P = 90\\From \;equations \; (1) \; and \; (2) \\[/tex]

[tex]\rm P + 3P/4 + P/2= 90\\\\2.25 \; P = 90\\P = 40[/tex]

So we can conclude that the month of June has  40 sweets

For more information please refer to the link given below

https://brainly.com/question/1301963

Answer:

i believe 1-3-5

Step-by-step explanation:

Answer: the 2nd and 6th

Step-by-step explanation:

i did the test thing

Answer:

29 and 23

Step-by-step explanation:

Step 1: rewrite the sentences as equations:

equation 1: x+y=52

equation 2: x-y=6

Step 2: add those two equations together to get:

2x=58

x=29

Step 3: substitute x in one of the first equations to get y:

29-y=6

y=23

Step 4: Check with the other equation:

x+y=52

29+23=52✔

Answer:

the other side is 4

Step-by-step explanation: its a right triangle

Step-by-step explanation:

this is my answer if u are asking for the adjacent length...sorry if its wrong

Answer:

1 1/2

Step-by-step explanation:

We need to convert all of these into one denominator. 1 1/4 needs to be converted into 12ths. 4 x 3 = 12 1 x 3 = 3. Our new fraction instead of 1 1/4 is     1 3/12.

Which is closer to the whole number?

1 1/12 is 1/12 away from a whole number

1 3/12 is 3/12 away from a whole number

1 5/12 is 5/12 away from a whole number

Hope this helps!

Answer:

[tex]-\frac{1}{6}[/tex]

Step-by-step explanation:

Common denominator: 18

-14/18 + 11/18

= -3/18

Reduce:

-1/6

The correct answer is,

[tex] \frac{1}{64} [/tex]

Answer:

1/64

Step-by-step explanation:

when exponents are separated by parentheses, multiply them

so (2³)^-2 = 2^-6

whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive

2^-6 = [tex]\frac{1}{2^6}[/tex] = [tex]\frac{1}{64}[/tex]

Answer:

90 students.

Step-by-step explanation:

Given that Cho surveyed a random sample of 60 students in the school's library, of which 15 said they read the newest magazine, and that a total of 360 students attend the library every day, to determine how many of the 360 students can have expect to read the newest magazine the following calculation should be performed:

60 = 100

15 = X

15 x 100/60 = X

1,500 / 60 = X

25 = X

Thus, 25 percent of the students in the sample read the newest magazine. Since 25% of 360 is 90 (360 x 0.25), that is the number of students he can expect to have read the magazine.

Answer:

36 units.

Step-by-step explanation:

Answer:

mk 50- (7.50x2)

50-15=35

then 1.50 can be shoved in 35.00

a)23

it will only go up to 34.5

Step-by-step explanation:

sorry your answer is a)23

Answer:

The first option is correct.

Answer:

A= ×/87=43/100

I'm terrible in explaining this, but the answer is A. x = 37.41. Since you cross-multiply and divide. 87×43=3741 and 3741÷100=37.41

Answer:

1035.75

Step-by-step explanation:

Answer:

your answer is 168 adult tickets

Step-by-step explanation:

Just got 100 on edge

y = x^2 is a quadratic equation. A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. This what a graph like dat would look like.

Answer:

She has 180 stamps in total

Step-by-step explanation:

Answer:

180 stamps

Step-by-step explanation:

if she used 60 stamps and that was only a thrid of it, then all you have to do is multiply by 3

Formula: 60·3=180

Answer:

1.34

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The probability of that happening is 1. It must always be < 9. The only way it is not true is if you choose not to spin.

The equation is 5x +3 = -37

Subtract -3

5x = -40

Divide 5

x = -8

x = -8

Brainiest please!

Answer:

-8

Step-by-step explanation:

Subtract 3 from -37. Which gives -40. Then you divide that by 5. Which gives you -8.

Answer:

0.1369

(4.732, 5.268)

Step-by-step explanation:

Given that:

Mean, m = 5

Standard deviation, s = 1.5

Error margin, E = 0.5

Sample size, n = 120

Zcritical at 95% = 1.96

Standard Error of the mean (S. E) :

S. E = s /sqrt(n)

S. E = 1.5 / sqrt(120

S.E = 1.5 / 10.954451

S. E = 0.1369306

S. E = 0.1369

Confidence interval (C. I)

Mean ± (Zcritical * S.E)

5 ± (1.96 * 0.1369)

Lower boundary = 5 - 0.268324 = 4.731676

Upper boundary = 5 + 0.268324 = 5.268324

(4.732, 5.268)

Answer:

14:9

Step-by-step explanation:

you cant simplify so just put : in between the numbers and boom! ur ratio is 14 to 9 or 14:9

hope this helps :D