A rectangle has a height of k^2+3k 2 +3k, squared, plus, 3 and a width of k^2+7k 2 +7k, squared, plus, 7. Express the area of the entire rectangle. Your answer should be a polynomial in standard form.

Answers

Answer 1

Answer: [tex]k^4+10k^3+21k^2[/tex]

Step-by-step explanation:

Given

Height of rectangle is [tex]h=k^2+3k[/tex]

Width is [tex]w=k^2+7k[/tex]

The area of the rectangle is given by the multiplication of the height and width

[tex]\Rightarrow A=\left(k^2+3k\right)\left(k^2+7k\right)\\\\\Rightarrow A=k^2k^2+k^2\cdot \:7k+3kk^2+3k\cdot \:7k\\\\\Rightarrow A=k^4+10k^3+21k^2[/tex]

Thus, the area of the rectangle is [tex]k^4+10k^3+21k^2[/tex].


Related Questions


139°
x° find the value of x.


Answers

Answer:

x = 139

Step-by-step explanation:

The angles are alternate exterior angles , and when the lines are parallel, alternate exterior angles are equal

x = 139

The Taylor family order a 95-inch turkey and cheese sub from the local deli. They also buy 7 gallons of lemonade. About how many feet long is the turkey and the cheese sub?

Answers

Given: Here given that the Taylor family order 95 inches of turkey and cheese sub from the local deli.

To find: Here we need to find how many foot long is the turkey and cheese sub.

Solution: We know, 1 inches=0.0833 foot

So, 95 inches=7.9135 foot approximately.

Therefore, 7.9135 foot approximately long is the turkey and cheese sub.

pleaseeee helpppp meee!!

Answers

Answer:

15 players on each team

Step-by-step explanation:

- 2 players from EACH team is subtracted= 2(players)x6(teams) = 12 players in total off the field

- now there are only 78 players on the field

(78+12)/6= 15

-Adding the amount of players on the feild and the players that were sent for equitment is 90. Then dividing 90 by the amount of teams there are, 6

What is the answer for this ?

Answers

Answer:

44°

Step-by-step explanation:

180 - 136

Please help i'm struggling with this!It's urgent!

Answers

Hello,
The answer should be the last one (90% Sure (; )

Hope this helps you. If available please give me a Branliest. It is much appreciated. It would also help me answer more questions!
Goodluck.

- Mathhotdog •~•

Answer:

Step-by-step explanation:

Its the 3rd one

A parallelogram has a base of 16 centimeters and a height of 4 centimeters

What is the area of the parallelogram?

A) 128 cm²

B) 16 cm²

C) 64 cm²

D) 32 cm²

Answers

Answer:

Area = 64 cm²

Step-by-step explanation:

The area of a parallelogram is found by using the formula A = b x h

Where A is the area, b is the base and h is the height

A = 16 x 4

A = 64

The body moves with the speed v=5t^2-2t+2. What is its speed at the moment when the acceleration is zero?​

Answers

Answer:

1.8m/s

Step-by-step explanation:

Given:

speed;

v = 5t² - 2t + 2                 ---------------(i)

(i) First, find the acceleration a by differentiating the speed equation in equation (i) with respect to t as follows;

a = [tex]\frac{dv}{dt}[/tex]

a = [tex]\frac{d}{dt} [5t^2 - 2t + 2][/tex]

a = 10t - 2              ---------------------(ii)

(ii) Next, find the moment (time) when the acceleration is zero. This is done by substituting a = 0 into equation(ii) as follows;

0 = 10t - 2

Solve for t

10t = 2

t = 2 / 10 = 0.2

Therefore, at t = 0.2s, the acceleration is zero.

(iii) Now, find the velocity at time t = 0.2s when the acceleration is zero. This is done by substituting the value of t = 0.2s into equation (i) as follows;

v = 5(0.2)² - 2(0.2) + 2

v = 0.2 - 0.4 + 2

v = 1.8

Therefore, the speed at the moment when acceleration is zero is 1.8m/s

NB: Since the units of measurement are not given, the S.I units are used. Hence m/s for speed.

i need help with geometry

Answers

Answer:

[tex] \frac{AQ + 15}{AQ} = \frac{10 + 6}{6 } \\ 6AQ + 90 = 10AQ + 6AQ \\ 10AQ = 90 \\ AQ = 9[/tex]

Answer:

AQ = 9

Step-by-step explanation:

Given a line parallel to the side of a triangle and intersecting the other 2 sides then it divides those sides proportionally , that is

[tex]\frac{6}{10}[/tex] = [tex]\frac{AQ}{15}[/tex] ( cross- multiply )

10 AQ = 90 ( divide both sides by 10 )

AQ = 9

If the zeros of a quadratic function are 3 and 8, what are the factors of the function?

A.
(x + 8) and (x − 3)
B.
(x − 8) and (x + 3)
C.
(x + 8) and (x + 3)
D.
(x − 8) and (x − 3)

Answers

It’s D. You basically plug it in to x and whatever equals 0 is the correct answer

Answer:

D

Step-by-step explanation:

one way to write a quadratic equation is using the y = (x-s) (x-r) where r and s are positive zeros. another way to solve this and think about it would be to plug in your points and equate both sides. 

example:(3,0) (8,0)0 = (3-8) (3-3)0 = 00 = (8-8) (8-3)0=0

look at the picture it has what i need help with

Answers

There's a trick to solve these graph questions

Solve the given quadratic equations in the options , the points which match with the changed graph will be the final option

if you solve the first option F(x) = x2-2

you'll get x = +2 and -2

as you can see , the Fx graph cuts the x axis at +2 and -2 and thus option A is correct

thankyou

help! is due today please

Answers

Answer:

Option 2

Step-by-step explanation:

Minimum value is going to be in the y part of our coordinate, so we can just look there. I went ahead and used a graphing calculator to make things easy.

Starting off with option 2, we can see the minimum is -10. And in option 4 we can see the smallest y value is -6.

Using a graphing calculator (I used desmos), we can graph these other functions and figure out their minimums.

Option 1's y minimum is -7, and Option 3's y minimum is -2.25.

Option 1: -7

Option 2: -10

Option 3: -2.25

Option 4: -6

The questions asks for the smallest minimum value, which in this case is option 2.

Determine the coordinates of the midpoint M of segment AB when A(-4,4) and B(5,-1). Leave your answer in fraction form.

Answers

Answer:

(0.5, 1.5)

Step-by-step explanation:

(x1 + x2 /2, y1 + y2/2)

(-4 + 5 / 2,   4 - 1/2)

(1/2, 3/2)

What is the exact value of tan(pi/4)?

Answers

1

The exact value of tan(π4) tan ( π 4 ) is 1 .

fill in the blanks, solve x2+6x +y2- 4y = 23

Answers

Answer:

Step-by-step explanation:

See completed figure attached.

Note that some blanks are missing colours from the question.

Your school has raised $3,920 from this year's magazine drive. Your grade is planning a field trip. One bus costs $700 and one ticket costs $70. Write an equation to find out how many tickets you can buy if you take only one bus.

Answers

Answer:

Number of tickets= 46

Step-by-step explanation:

Giving the following information:

Your school has raised $3,920 from this year's magazine drive. Your grade is planning a field trip. One bus costs $700 and one ticket costs $70.

First, we need to calculate the amount left after the bus is paid:

Money for tickets= 3,920 - 700

Money for tickets= $3,220

Now, the number of tickets that can be bought:

Number of tickets= 3,220 / 70

Number of tickets= 46

what is lighter than a feather but the strongest man can't hold for 5 minutes​

Answers

Answer:

obviously our breathe is lighter than a feather but the strongest man can't hold for 5 minutes.

Answer:

breathe

Step-by-step explanation:

breathe. air is light but even the strongest man can't hold for 5 minutes

Which expression is equivalent to (y2 + 3y – 8)+(2y? –y–9)?

A. 3y4 + 4y2 – 17
B. 3y4 +2y2 – 17
C. 3y2 + 4y - 17
D. 3y² +2y-17

Answers

Answer:

The answer is 42 have a great day.

Step-by-step explanation:

graph the line y=-1/6+1 , I need help tho :/​

Answers

Answer:

Step-by-step explanation:

Find mZB.
Round to the nearest degree.
11
B В
7.
15

Answers

Answer:

m∠B = 111º

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab*cosC

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

15² = 7² + 11² - 2(7)(11)cosB

225 = 49 + 121 - 154cosB

225 = 170 - 154cosB

Subtract 170 form both sides

55 = -154cosB

Divide both sides by -154

-0.3571428571 = cosB

m∠B = arccos -0.3571428571

use calculator

m∠B = 110.924832425009406

Rounded

m∠B = 111º

What is the area of this shape


A.178 in

B.269 in

C.262 in

D.48 in

Answers

Answer:

262 in² is the answer

Step-by-step explanation:

12 ×6 + 16×7+13×6 = 262

Answer:

269 in.^2

Step-by-step explanation:

area of the shape = (12*6) + (4*7) + (6*13) + (7*16)

=72 + 28 + 78 + 91

=269 in^2

WORTH 25 POINTS!!!!
match the following

Answers

Answer:

Step-by-step explanation:

Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.

1). The range and domain of P = {(x, y)| y = 3}

Domain: Set of all real numbers

Range: {y: y=3}

2). The domain set of C = {(2, 5), (2, 6), (2, 7)}

 Domain: {2}

3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}

  Range: {3, 4, 5, 6}

4). The range and domain set of F = {(x, y)| x + y = 10}

   Domain = Range = {All real numbers}

Need help ASAP


You don’t need to explain, pls respond as fast as possible. Thank you

Answers

Answer:

One is 8x+12y= 112

Step-by-step explanation:

I don't know if it's right tho. SO don't come at me.

your answer is correct

it takes 1/3 cup of water to fill 3/4 of a container how much water in cups will the full container hold?

Answers

Answer:volume of container:  v.  Then (2/3)v=(1/2) cup.  Solving for v,

       1/2 cup        1 cup         3

v = -------------- = --------- * -------- = 3/4 cup (answer)

         2/3                 2           2

Step-by-step explanation:

DISCLAIMER: THERE ARE MANY QUESTIONS LIKE THIS ONE, SO MAKE SURE THAT YOU ARE ANSWERING THIS SPECIFIC QUESTION.

Which of the followinmg estimates at a 95% confidence level most likely comes from a small sample?
A. 71% (±18%)
B. 60% (±4%)
C. 62% (±6%)
D.65% (±2%)

Answers

Answer:

A. 71% (±18%)

Step-by-step explanation:

Based on the confidence interval relation :

Mean ± Margin of error

The mean could be any given value :

However, the margin of error at a given confis nce level will will affected by the sample size, larger sample sizes will result in smaller margin of error values as the it will result in a large value denominator hence giving a small margin if error value when divided.

Margin of Error = Zcritical * σ/√n

Since.weve been told that the sample size is small, this will result in a large error margin value, from the options given, the value with the largest error margin value will be produced by the smallest samole size. Hence the option with the largest error margin value is ; ±18%

write an equation for each function notation. then complete the table

Answers

Answer:

30. Y= ×(-3)+4

Step-by-step explanation:

-2(-3)=6+4=10

therefore 1(-3)+4

=1

2(-3)=-6

-6+4=-2

Find the area of the given trapezoid:
A = ...... square units

Answers

Answer:

A = 48 square units

Step-by-step explanation:

The dimensions between two markings on the coordinate plane = 2 unit

The trapezoid is located sideways

The area of a trapezoid, A = ((a + b)/2) × h

Where;

a = The long base side

b = The short base side

h = The height

The long base side length AT = 4 space between markings = 4 × 2 units = 8 units

The short base side length SR = 2 space between markings = 2 × 2 units = 4 units

The height, h = 4 space between markings = 4 × 2 units = 8 units

The area of the trapezoid, A = ((4 unit + 8 unit)/2) × 8 unit = 48 square units.

As a fundraiser, the Music Boosters wrapped gifts at the mall one weekend. Out of the 100 gifts they wrapped, 3/10 were for weddings, and 37/100 were for baby showers. The rest of the gifts were for birthdays. What fraction of the gifts was for birthdays? Enter your answer in the boxes.

Answers

Answer: The fraction of the gifts were for birthdays = [tex]\dfrac{33}{100}[/tex].

Step-by-step explanation:

Given: fraction of gifts for weddings = [tex]\dfrac{3}{10}[/tex]

fraction of gifts for baby showers = [tex]\dfrac{37}{100}[/tex]

Rest of the gifts = [tex]1-\dfrac3{10}-\dfrac{37}{100}[/tex]

[tex]=\dfrac{100-30-37}{100}\ \ \ [\text{Making like fractions}]\\\\=\dfrac{100-67}{100}\\\\=\dfrac{33}{100}[/tex]

Hence, the fraction of the gifts were for birthdays = [tex]\dfrac{33}{100}[/tex].

I will give BRAINLIEST to the correct answer
Find the measure of angle 6.

Answers

Answer:

85°

Step-by-step explanation:

the two lines that have red arrows on them are parallel and are cut by a transversal so angle 6 and the 95° angle are same side interior angles so they are supplementary angles so they need to add to 180°

∡ 6 = 180-95 = 85°

ILL BRAINLIEST YOU IF YOU HELP ME PLEASE

Answers

option C is correct

b and c are parallel lines because they both are making equal angles at the point of intersection with line d

Answer:

the answer is c. because

95 plus 85 is equal to 180 mean its straight line

Step-by-step explanation:

True or False: in a table of a proportional relationship, the ratio or y/x is constant.

Answers

Answer:

true

Step-by-step explanation:

It is True that in a table of a proportional relationship, the ratio or y/x is constant.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, y∝x

In order to eradicate the proportional sign introduces the constant as,

y=kx

k=y/x

k is the constant value.

Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

Other Questions
HELPPPPPPPPPPPPPPPPPPPP 20 points probability question Rewrite the polynomial in the form ax+by+c and then identify the values of a, b, c 8y+1-6x Pepsi had accounts receivable turnover ratio of 9.9 this year and 11.0 last year. Coke had a turnover ratio of 9.3 this year and 9.9 last year. This implies:______.1. Coke has the better turnover for both years2. Pepsi has the better turnover for both years3. Coke's turnover is improving4. Coke's credit policies are too loose5. Coke is collecting its receivables more quickly than Pepsi in both years Help me to do exercise no 4 Write an equation of the line with slope 4 and y-intercept (0, 2). Our exam------- at 10:30 a. m. ( fill in the blank) option is, are, starts, Will start , Two sunbathers were sitting on a raft. One noted that the raft bobbed up and down at a frequency of 0.20 Hz. The other observed that a crest took 5.0 s to cover the 15.0 m to shore. How far apart are the crests of the wave? Mr. lang has two sons the sum of their ages 19. the product of their ages is 84. how old is Mr. lang youngest son Whats the correct answer above? 2) What is the probability you roll an odd number on a six-sided die ? Can someone tell me step by step on how to solve this? On February 1, the balance is your account is $516.81. On july 1, you deposit $310.90. Your bank pays 6.25% interest. What is the amount in your account on July 1? What is the answer to my question which expression is equivalent to the area of square A in inches ? What was one affect of England victory over the Spanish Armada? A company's mean salary is $65,000 with a standard deviation of $6,000. If a sample of40 employees is taken, determine the standard error.948.68325.259328.71 none of these A balloon is 4 ft above the ground. It is released and floats up 3 ftevery second. Write an equation to model the height of the balloonas a function of time in seconds. Write your answers in the blanks. What the mass of Earth's water?