is this right or no?

Answer: When dividing a polynomial by a monomial, we can simply divide each term in the polynomial by the monomial.

So, dividing (8zy² - 28z¹y5 + 12z³y7) by (4z¹y³) gives:

(8zy²)/(4z¹y³) - (28z¹y5)/(4z¹y³) + (12z³y7)/(4z¹y³)

Simplifying each term by canceling out any common factors gives:

2y^(-1)z^(1-1) - 7y^(5-3)z^(1-1) + 3y^(7-3)z^(3-1)

which simplifies to:

2yz^0 - 7y^2z + 3y^4z^2

Therefore, (8zy² - 28z¹y5 + 12z³y7) ÷ (4z¹y³) = 2yz^0 - 7y^2z + 3y^4z^2.

Step-by-step explanation:

Answer:

She left 3 slices

Step-by-step explanation:

to find the number of slides that I have concluded, we will do the following

\( \frac{75}{100} \times 12 = 9\)

Then She left

\(12 - 9 = 3\)

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

Learn more about Pythagorean Identity here:https://brainly.com/question/24287773

#SPJ1

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

To learn more about hours click here brainly.com/question/29121756

#SPJ11

The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct

Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.

The formula for calculating YTM is as follows:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

Where:

C = Interest payment

F = Face value

P = Market price

n = Number of coupon payments

Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.

First, let's calculate the semi-annual coupon payment:

Semi-annual coupon rate = 5.2% / 2 = 2.6%

Face value = $1000

Market price = $884

Number of years remaining until maturity = 10 years

Number of semi-annual coupon payments = 2 x 10 = 20

Semi-annual coupon payment = Semi-annual coupon rate x Face value

Semi-annual coupon payment = 2.6% x $1000 = $26

Now, we can calculate the yield to maturity using the formula:

YTM = (C + (F-P)/n) / ((F+P)/2) x 100

YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100

YTM = 6.23%

Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.

Learn more about yield to maturity

https://brainly.com/question/26376004

#SPJ11

(2 , -10) is the co- Oridinates of A.

What exactly does coordinate geometry mean?

The discipline of coordinate geometry is the study of geometry using coordinate points. It is possible to use coordinate geometry to determine distances between points, divide lines into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations.

x coordinate is reduced by -5; y coordinate is increased by -5

so transformation is (x,y) -> (x +5, y-5)

applying the same transformation to B(-3,-5)

B' = (-3 +5 , -5 - 5) = (2 , -10)

Learn more about coordinate geometry

brainly.com/question/18269861

#SPJ1

The complete question is -

A translation maps the point (5,7) onto the point (2,9) and the point A onto the point (-3 ,-5) . find the co - oridinates of A.

Answer:

There are 1.91 cups in a pound

Answer:

A = 5

B = 9

C = 3

D = 4

Step-by-step explanation:

A = 3+ 2 = 5

B = 5 + 4 = 9

C = 1 + 3 = 3

D = 3 + 1 = 4

If you can, please give me a Brainliest; thank you, and have a good day!

Answer:

88 km.

Step-by-step explanation:

If 5 miles is 8 km,

55 miles is 88 km.

What you need to do is 55/5 = 11.

Then multiply that 11 to 8.

11 * 8 = 88.

Basically, if you are multiplying 5 by 11 to get 55, you need to multiply 8 by 11 to get 88.

Answer:

Domain:  (0, positive infinity)

Step-by-step explanation:

6x^2 / x greater than or equal to 0

6x^2 = 0

x = 0

So, the answer is ( 0, positive infinity)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

first one  2x²-4x+3=0

Step-by-step explanation:

plz mark as brainliest and plz follow me plz

\(4x + x = 1 - 6\)

so x=_1

\( - 2y - 8y = - 7 - 3\)

so y=1

Answer:

(x-5i)(x+5i)

Step-by-step explanation:

Given the expression

(x-5i)²

Expand

(x-5i)(x+5i)

= x² - 5ix + 5ix - 25i²

= x² - 25i²

Since i² = -1, hence;

(x-5i)(x+5i) = x² - 25(-1)

(x-5i)(x+5i) = x² + 25

Hence the required expression is (x-5i)(x+5i)

Answer:

I am unsure of the specifics, I always used slope-intercept form.    

Step-by-step explanation:

If there is a specific question you are struggling with try entering the problem in m-a-t-h-w-a-y. This always helps me.

Answer:

$651.36

Step-by-step explanation:

13.57x48

Answer:

8 pounds - $64

9 pounds - $72

12 pounds - $96

Step-by-step explanation:

To find how much money she spends you multiply the number of pounds by the price per pound ($8).

Hope this helps :)

The test statistic is, -2.06.

What is test statistic?

A programme and any related documentation are examined during static testing, a type of software testing that does not call for the programme to be run. Software testing also includes dynamic testing, which involves interacting with the application as it is being used.

Given: Americans work less than 40 hours a week on average in 1977?

In 1977, the GSS included questions about the number of hours that the respondent worked per week.

The average number of hours worked per week was 34. 61 hours with a standard deviation of 14. 77 hours.

A sample of 32 respondents was questioned.

So, the test statistics is,

Z = (x bar - μ)/(σ /√n)

 = (34.61 - 40)/(14.77/sqrt(32))

Z = -2.06

Hence, the test statistics is -2.06.

To know more about the test statistic, click on the link

https://brainly.com/question/15980493

#SPJ4

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  \((-1, 4), (0,4), (2,5), (3,-6), (-1, 7)\)

ii) \((-1, 4), (0,4), (2,5), (3,-6), (0, 7)\)

iii) \((-1, 4), (0,4), (2,5), (3,-6), (2, 7)\)

iv) \((-1, 4), (0,4), (2,5), (3,-6), (3, 7)\)

Answer:

△DBE​  is similar to ​△ABC​ by the ​SAS Similarity Theorem​.

Step-by-step explanation:

i took the test already

Answer:

It isn't very relaible, to insure that you get answers correct try to do them yourself or ask your teacher,

Step-by-step explanation:

Answer:

here's how I do it .........

Answer:

What do you need help with?

Step-by-step explanation:

The indefinite integral of e^x/(e^x + 1)^13 with respect to x is -1/12(e^-x/(e^x + 1)^12) + C.

To evaluate the indefinite integral, we can use the substitution u = e^x + 1. Then du/dx = e^x, and dx = du/e^x.

Substituting these into the integral, we have:

∫ e^x/(e^x + 1)^13 dx = ∫ 1/(u^13 - u^12) du/e^x

= ∫ 1/u^12(1 - 1/u) du/e^x

= ∫ (u^-12 - u^-13) du/e^x

Integrating each term separately, we get:

∫ u^-12/e^x du - ∫ u^-13/e^x du

= (-1/11)(e^-x/u^11) - (-1/12)(e^-x/u^12) + C

Substituting back for u, we get:

-1/12(e^-x/(e^x + 1)^12) + C, as the final answer.

For more questions like Integral click the link below:

https://brainly.com/question/18125359

#SPJ11

a) two representatives be picked in 5850 ways so that one is a mathematics major and the other is a computer science major. b) one representative be picked in 343 ways who is either a mathematics major or a computer science major.

Product Rule: If one event occurs in m ways and a second event occurs in n ways, the number of ways the two events occur in the sequence is m×n ways.

Sum Rule: If an event occurs either in m ways or in n ways (non-overlapping), the number of ways the event can occur is m+n ways.

according to the question,

Mathematics majors =18 and Computer science majors = 325

A. We need to use the product rule because the first event is picking up a Mathematics major and the second event is picking up a computer science major.

= 18 x 325

= 5850

B. Here sum rule is applicable because the event is picking up a mathematics major or a computer science major.

= 18 + 325

= 343

To learn more about product rule - sum rule visit

https://brainly.com/question/29508207

#SPJ4

(complete question)

there are 18 mathematics majors and 325 computer science majors at a college. a) in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major? b) in how many ways can one representative be picked who is either a mathematics major or a computer science major.

Answer:

x=1045/13

let x be the unknown side

here 13,19 & 55,x are in proportion

13:19=55:x

13/19=55/x

13x=55×19

x=1045/13

The equation of line in slope-intercept form is,

Here, m is slope of line and c is y-intercept.

Simplify the equation to obtain the slope-intercept form.

The population of Fairview will reach 1,600,800 in 22.80 years.

Since the population of the city of Fairview is given by the model function y = 780,500(1.032)ˣ.

To find the the number of years, we can say solve for x when y = 1,600,800. That is:

y = 780,500(1.032)ˣ

1,600,800 = 780,500(1.032)ˣ

1,600,800/780,500 = (1.032)ˣ

(1.032)ˣ = 16008/7805

ln(1.032)ˣ  = ln(16008/7805)

x ln(1.032) = ln(16008/7805)

x =  [ln(16008/7805)]/ [ln(1.032)]

x = 22.80 years

Thus, in 22.80 years the population of Fairview will reach 1,600,800.

Learn more about model function on:

brainly.com/question/1415456

#SPJ1