prove that 8^6 +4^11 is divisible by 17. You're supposed to answer it likes this: [blank]*17

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

More can be learned about the Factor Theorem at brainly.com/question/24729294

#SPJ1

With the application angular momentum algebra Jy is Hermitian, Jy has imaginary matrix elements is proved.

What is Matrix?

a matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The entries of the matrix are the numbers, which are referred to as its elements. In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

Solution:

Recall the angular momentum algebra:

[Jx, Jy] = ihJz, [Jy, Jz] = ihJx, [Jz, Jx] = ihJy

Given a basis | ii, the matrix representations for the Jx is [Jx]ij ≡ hi | Jx | ji, and likewise for

Jy and Jz. Thus, since Jx and Jz have real matrix elements, we find:

hi | Jx | ji = hj | Jx | ii, hi | Jz | ji = hj | Jz | ii

where we use the Hermiticty of Jx and Jz. Taking the matrix elements of the third commutator

given above, we find:

hi | [Jx, Jz] | ji = −i~ hi | Jy | ji

where

hi | [Jx, Jz] | ji = Summation k(hi | Jx | ki hk | Jz | ji − hi | Jz | ki hk | Jx | ji)

                      = − hj | [Jx, Jz] | ii

       hi | Jy | ji = − hj | Jy | ii

Therefore, Jy is Hermitian, Jy has imaginary matrix elements.]

To learn more about Matrix from the given link

https://brainly.com/question/94574

#SPJ4

The sum of the decimal values given is 0.93

Simplifying the decimal values can be done thus :

Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .

0.36*100 = 36

0.57*100 = 57

Adding the whole numbers :

__36

+_57

_____

__93

Dividing the sum by 100 to convert to an equivalent decimal value,

Therefore, the required value is 0.93

Learn more on decimals :https://brainly.com/question/78672

#SPJ1

Answer:

The trip is 50 miles

Step-by-step explanation:

30 = (60/100)T

T = (10/6)(30) = (5/3)(30) = 50 miles

Answer:

[0,7]

Step-by-step explanation:

4 x 50 is 200 and the range is 4 x 1.75. So the range is 4 x 1.75 = 7.0 so [0,7] and the domain would be [0, 200]

The range of the function g(x) will be 4 times the function f(x) that is [0, 7].

The absolute function is also known as the mode function. The value of the absolute function is always positive.

If the vertex of the absolute function is at (h, k). Then the absolute function is given as

f(x) = |x - h| + k

The domain means all the possible values of x and the range means all the possible values of y.

The graph of the function f is shown. The domain of f is [0, 50].

Then the range of the function g(x) will be 4 times of the function f(x)

Range = 4 × [0, 1.75]

Range = [0, 7]

The range of the function g(x) will be 4 times the function f(x) that is [0, 7].

More about the absolute function link is given below.

https://brainly.com/question/10664936

#SPJ2

Answer:

Below.

Step-by-step explanation:

Subtract 22 from both sides of the equation:

f/3 + 22 - 22 = 17 - 22

f/3 = -5.

Answer:

Subtract 22 from both sides.

Step-by-step explanation:

To isolate f/3 in f/3 + 22 = 17, we should subtract 22 from both sides.

f/3 + 22 - 22 = 17 - 22

f/3 = -5

Now, to isolate f, we should multiply 3 to both sides.

f/3 × 3 = -5 × 3

f = -15

\(\rule[225]{225}{2}\)

Answer:

it will be choice 3

Step-by-step explanation:

as if you bend each shape of each of them the only choice that will give you a pyramide with a omitted side

Answer:

idk

Step-by-step explanation:

1 + √(x + 4 ) = 5

√( x + 4 ) = 4

16 = x + 4

x = 12

Answer:

An x-coordinate is the first element in an ordered pair. When an ordered pair is graphed as the coordinates of a point in the coordinate plane, the x-coordinate represents the directed distance of the point from the y-axis. Another name for the x-coordinate is the abscissa.

Step-by-step explanation:

Answer: 60

Step-by-step explanation: When you multiply anything by 1, it’ll always equal the first factor before the multiplication sign.

Answer:

not a function

Step-by-step explanation:

Answer:

3.8374326e+21

Step-by-step explanation:

id.k goo.gle said this

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

For such more questions on standard deviation

https://brainly.com/question/30557671

#SPJ11

Answer:

Flour 5, 10, 15, 20

Sugar 4, 8, 12, 16

Step-by-step explanation:

Answer:

Flour (cups):   5  10  15   20

Sugar (cups):  4   8   12   16

You need 16 cups of sugar

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

learn more about linear equation from

https://brainly.com/question/2030026

#SPJ1

First, I will find angle 2

115° + m< 2 = 180° (angle on a straight line)

subtract 115° from both-side of the equation

m<2 = 180° - 115° = 65°

m<2 = 65°

m<1 + m<2 + 80° = 180° (sum of angle in a triangle)

m<1 + 65° + 80° = 180°

m< 1 + 145° = 180°

subtract 145° from both-side of the equation

m<1 = 180° - 145°

m<1 = 35°

m<2 + m<4 = 180° (angle on a straight line)

65° + m<4 = 180°

subtract 65 from both-side of the equation

m<4 = 180° - 65°

m<4 = 115°

According to the question of drop factor, the answer is 53.3ml that will be infused per hour.

Drop factor is a mathematical concept related to the concept of rate. It is a unitless coefficient used to adjust a given rate. Drop factor is commonly used to represent the rate of change in a linear equation, and can be used to calculate the rate at which a given value decreases over time. The drop factor is calculated by subtracting the previous value from the current value and dividing it by the change in time. This value can then be used to calculate the rate of change over time.

The calculation for the amount of ml that will be infused per hour is as follows:

Volume (L) x Drop Factor (gtt/ml) = Total Drops

0.8 L x 60 gtt/ml = 480 drops

Total Drops / Time (hours) = Drops/Hour

480 drops / 9 hours = 53.3 drops/hour

Since 1 drop is equal to 1 ml, this means 53.3 ml of fluid will be infused per hour.

To learn more about drop factor

https://brainly.com/question/29252715

#SPJ1

Answer:

x = 23°

Step-by-step explanation:

We Know

The 67° angle + the x must be equal to 90°

Find the x.

Let's solve

67° + x = 90°

x = 23°

Answer:

i think it's (C) 4.8

\(\frac{5}{5+3} = \frac{8}{8 + y}\)

Answer:

Here, given

present population = 20000

according to question,

population gets double every 34 years

i.e P = 20000 × 2

= 40000

now,

P = 40000

T = 68-34 = 34

ie, again p is double

so, P = 40000×2

= 80000

Hence, the population after 68 years from now is 80000

Answer: 53.1

Step-by-step explanation: Divide 35.40 by 2 to get 17.7. now add 35.40 with 17.7 and you get 53.1

Answer:

It's option B, (f • g)(x) = 3x^3 + 6x^2 - 5x - 10

Step-by-step explanation:

In this problem, we are dealing with a branch of functions called composite functions. What the difference is between normal and composite functions is that we instead of defining a value for f(x), take two functions, f(x) and g(x), in the form of f and g. For instance, h(x) = g.

• Take the products of both functions.

f(x)g(x) = 3x²+5 • x-2

• Next, expand the functions. We expand by combining like terms.

= 3x^3 - 6x^2 + 5x - 10

Since the function cannot be simplified further, this leads to option B being our answer.

Hope this helps!

Answer:

2.most employees scored 800 or above

3 The graph assessment results range from 200 to 1899

4.40 employees scored between 1400 and 1599

5. Twice as many employees scored 1099.5compared to those that scored 1499.5

These statements are correct

Answer:

16x²

Step-by-step explanation:

Answer:

x = 14

Step-by-step explanation:

Let's solve for the value of x,

→ x + 8 = 22

→ x = 22 - 8

→ [ x = 14 ]

Hence, the number is 14.

Answer:

the number can be represented by x.

so x=7.

Step-by-step explanation:

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

9514 1404 393

Answer:

Step-by-step explanation:

We're going to say Job A is the charge at Jim's shop. For h hours, that charge will be the sum of the parts cost and the hourly charge:

  j = 25 +55h

Job B is the charge at Myron's shop. Similarly, that charge is ...

  m = 50 +30h

__

The two charges are equal when ...

  j = m

  25 +55h = 50 +30h

  25h = 25 . . . . . . . . . . . subtract 25+30h from both sides of the equation

  h = 1 . . . . . . . . . . divide by 25

The charges are the same at the two shops for 1 hour worked.

_____

Additional comment

You may be expected to write your equations using y for the charge and x for the hours. I like to use variable names that remind me what they stand for.

__

In general, when you have rates that have different fixed fees and different per-quantity costs, the "break even" quantity is the ratio of the difference in fees to the difference in per-quantity costs. Here the parts (fees) differ by $25, and the per-hour cost differs by $25, so the number of hours is 25/25 = 1 to make the charges equal.