expand the square of a binomial (y^7-11)^2​

Answers

Answer 1

Answer:

[tex]y^{14} -22y^7+121[/tex]

Step-by-step explanation:

This equation should help:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

[tex](y^{7}-11)^2\\\\=y^{14} +2*y^7*-11+11^2\\\\=y^{14} -22y^7+121[/tex]

Answer 2

Answer:

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]

Step-by-step explanation:

[tex](y {}^{7 } - 11)( {y}^{7} - 11)[/tex]

First terms,

[tex]{y}^{14} [/tex]

Outer,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Inner,

[tex] {y}^{7} \times - 11 = - 11 {y}^{7} [/tex]

Last,

[tex] - 11 \times - 11 = 121[/tex]

Add all terms up

[tex] {y}^{14} - 22 {y}^{7} + 121[/tex]


Related Questions

In 1980 more than 35% of cars purchased had a manual transmission (i.e. stick shift). By 2007 the proportion had decreased to 7.7%. A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts. Estimate the proportion of college students who drive sticks with 90% confidence. Use a graphing calculator and round the answers to at least three decimal places. <

Answers

Answer:

The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of college students who owned cars revealed the following: out of 133 cars, 31 had stick shifts.

This means that [tex]n = 133, \pi = \frac{31}{133} = 0.233[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 - 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.173[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.233 + 1.645\sqrt{\frac{0.233*0.767}{133}} = 0.293[/tex]

The 90% confidence interval for the proportion of college students who drive sticks is (0.173, 0.293).

Please help ! Please help! I will heart you !

Answers

Answer:

x = 65

Step-by-step explanation:

x + 115 = 180

x = 65

Answer:

65 degrees

Step-by-step explanation:

180-115=65 degrees

The line that 115 degrees is on is equal to 180.

WILL GIBE BRAINLIEST ASAP

Answers

Answer:

A and D have whole grid squares that are the same size and aren't over lapping

C has overlapping grid squares making it hard to count

B can't be used to find area because some of the grid squares are different sizes

You still could use B because four of the smaller squares seems to be equivalent to one of the larger squares

Step-by-step explanation:

Answer:

the guy up there is right

Step-by-step explanation:

What’s the median of 70,77,80,81,82,87,88

Answers

Answer:

Hello There!!

Step-by-step explanation:

You order them but in this case they are already ordered and the middle number is 81 so that is the median(also knows as the middle).

hope this helps,have a great day!!

~Pinky~

Answer:

The median is 81.

Step-by-step explanation:

You can find the median in the middle if it all of them add up to odd.(like your’s say 70, 77, 80,... so that You will count them all. In total you have seven numbers and it’s odd).

if it is an even numbers, you mulitply the middle two numbers and divide them by two. That is the median for even numbers.

Find the missing number if the following
subtraction is in base six
4 5 2
* * *
254

Answers

356 is the missing number

Find the common difference of the arithmetic sequence -19, -16, -13, ...

Answers

Answer:

d= +3

Step-by-step explanation:

1st term = -19

2nd term = -16

d = 2nd - 1st

d= -16-(-19)

d = +3


A map of an island is shown on a half-centimetre grid,
where A, B and Care houses.
The actual distance between A and B
is 960 metres.
a) Work out the scale on the map.
A
Give your answer in the form 1:n
+
(2)
b) Work out the actual distance
between A and C in kilometres.
Your final line must say, AC = ... km
c
(4)
Total marks: 6

Answers

Answer:

The answer is b.

Step-by-step explanation:

Answer:

a) 1:48000 b)1.6128km

Step-by-step explanation:

Gross income: $408.68
Deductions: $98.98


Net income: $_

Answers

Answer: $507.66

Step-by-step explanation:

408.68 + 98.98 = 507.66

NO LINKS

Mark wants to put a circular pool in his backyard. The pool has an area of 379.94 square feet. If his backyard is 10 x 15 feet, will the pool fit? Use 3.14 for pi

Answers

Answer:

no, the backyard is only 150 square ft. so a pool with an area of 379.94 square ft will not fit

Step-by-step explanation:

10×15=150

-6(2p + 1) = -7p - 31

Answers

Answer:

P=5

Step-by-step explanation:

-6(2p + 1) = -7p - 31

Expand -6(2p+1)

Apply distributive law;

a=-6, b=2p, c=1

=-6*2p+(-6)*1

=-6*2p-6*1

Simplify; -6*2p-6*1

=-12p-6

-12p-6=-7p-31

Add 6 to both sides;

-12p-6+6=-7p-31+6

simplify;

-12p=-7p-25

Add 7p to both sides;

-12p+7p=-7p-25+7p

Simplify;

-5p=-25

Divide both sides by -5

-5p/-5=-25/-5

Simplify:

p=5

Answered by the One and Only #DrippQueenMo

Answer:

p=5

Step-by-step explanation:

first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.

Answer choices are
A.) x= 2 and x = -3
B.) x = 3 and x = 4
C.) -2 and x = -1
D.) -2 and x = 1

Answers

The answer is D.) x= -2 and x= 1

Question 5 (1 point)
Solve the inequality for x.
- 3x + 6 < 15
Ox>-3
Ox<-3
0x<-7
Ox>-7

Answers

Answer:

x > -3

Step-by-step explanation:

-3x + 6 < 15

-3x < 15 - 6

-3x < 9

-x < 3

x > -3

A. x > -3

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

−3x + 6 − 6 < 15 − 6

−3x < 9

Step 2: Divide both sides by -3.

−3x/−3 < 9/−3

x > −3

I need an Answer not a link.

Answers

Answer:     C

Step-by-step explanation:

Plz tell me if i am wrong

22 percent because it’s the highest percent

Question
The value of y varies directly as the cube of u and y = 54 when I = 3. Find the equation that represents this relationship.

Answers

Answer:

2x^3

Step-by-step explanation:

The equation that represents this relationship will be y = 2u³.

What are ratio and proportion?

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The value of y varies directly as the cube of u. y = 54 when u = 3.

y ∝ u³

Removed the proportionality constant and place the equal sign with constant k.

y = ku³

Put y = 54 when u = 3, then the value of k will be

54 = k (3)³

54 = 27k

k = 2

Then the equation that represents this relationship will be

y = 2u³

The equation that represents this relationship will be y = 2u³.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

x = 5 what is 6x equal

Answers

Answer:

6 x 5= 30

Step-by-step explanation:

6(5)=30

A teacher has 1/4 gallon or mlik

Answers

Answer:

notify me when you finish the question so i can answer ok

Step-by-step explanation:

Answer:

This means that there is 3/4 gallon or quarts left of milk that the teacher has.

Step-by-step explanation:

An amusement park has 16 attractions, including 6 rides.

What is the probability that a randomly selected attraction at this amusement park will be a ride?

Answers

The probability it will be a ride = total number of rides / total attractions.

Probability = 6/16

Probability = 3/8

Answer:

Solution :-

Probability is defined as the favourable outcomes divided by total outcomes

Probability = Favourable Outcome/Total outcomes

Probability = 6/16

Probability = 3/8

[tex] \\ [/tex]

Tomato juice is sold in a case with 8 cans. Complete the table to show the relationship between the number of cases and the number of cans .

Answers

Step-by-step explanation:

1 case- 8 cans

If you have 32 cans and you know that 1 case can have 8 cans you do this:

32:8=4 cases

Then if you have 10 cases in each you get 8 cans so it equals:

10*8=80cans

And last:

You have 96 cans and again you know that one case can contain 8 cans so it is:

96:8=12 cases

When you write that:

1. answer: 8

2.answer:4

3.answer:80

4.answer:12

4. Dominick sent the following number of text messages each day over the last week:
SUN
MON
TUES
WED
THURS
FRI
SAT
64
58
63
51
60
61
70
What is the mean absolute deviation?
Explain what the mean absolute deviation represents in the situation:

Answers

add all of the numbers and divide by the amount of numbers added

<4and <5 are alternate interior angles. Find the measure of <5

Answers

Answer:

115 degrees

Step-by-step explanation:

Since <4and <5 are alternate interior angles, this means that they are equal because alternate interior angles of a geometry are equal. Hence since

<4 = 115 degrees, <5 is also equal to 115 degrees

A rock with a mass of 25 g is added to a graduated cylinder containing 45 mL of water. The water level rises to the 50mL mark. Based on this information, what is the density of the rock?

Answers

Answer:

We know the density of water is 1 gm/ml

Mass of rock = 25 g

Volume of rock = 5 ml

So the density of the rock is       25 g / 5 ml = 5 gm / ml

Chuck put new wallpaper in his bathroom. The pattern of the wallpaper
used 3 triangles to make a straight angle. The measures of the angles
are (9x - 72). (73x + ) and 11) What is the measure of the
obtuse angle? 7.3.5
ext
Tota

Answers

Answer:

x = 2.93

Step-by-step explanation:

The sum of angles of the triangle is 180degrees, hence;

9x - 72 + 73x + 11 = 180

82x - 61 = 180

82x = 180 + 61

82x  = 241

Divide both sides by 82

82x/82 = 241/82

x = 2.93

Note that the functions might not be accurate but the same methos should be employed for any function given

Identify the relationship of each angle pairs. Choose your answer from the choices given.

Answers

Answer:

scheu7rggi6rewhjvzdeguij

Simplify the following expression:
–10x – 9x + 1

Answers

-19x+1 is the simplified version. You collect like terms to get (-10-9)x+1 and then calculate the difference for the answer.

Answer: -19x +1

Step-by-step explanation: Do -10x -9x which is -19x and you have 1 which is unlike terms .So your final answer is -19x +1 .

Find the area and the circumference of a circle with radius 5m Use the value 3.14 for n, and do not round your answers.

Answers

Answer:

78.54

Step-by-step explanation:

A certain brand of all-purpose plant food is sprinkled evenly over the soil surface at a rate of 4.8 ounces per 10
square feet. What is the unit rate of ounces per square feet?
A)0.48
B)21
C)48
D) 2.08

Answers

Answer:

48(c)

Step-by-step explanation:

4.8=48 as move 10 will change 4.8 as 48

Paula runs a stable. 20 horses currently board at the stable, and 8 of them are bay.

What is the probability that a randomly chosen horse will be bay?

Write your answer as a fraction or whole number.
p ( bay ) = ?

Answers

Answer:

40% chance

Step-by-step explanation:

Take the number of horses total and divide the number of bay horses.

find equation of the line that contains the point (4,-2) and is perpendicular to the line y= _2x+8

Answers

Answer:

y = 1/2x - 4

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will  have a slope of 1/2.

Plug this value (1/2) into your standard point-slope equation of y = mx + b.

y = 1/2x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 1/2(4) + b

To find b, multiply the slope and the input of x (4)

-2 = 2 + b

Now, subtract 2 from both sides to isolate b.

-4 = b

Plug this into your standard equation.

y = 1/2x - 4

This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)

Hope this helps!

9514 1404 393

Answer:

  y = 1/2x -4

Step-by-step explanation:

We presume the given line is ...

  y = -2x +8

This is in slope-intercept form, which allows us to determine easily that the slope of this line is -2.

A perpendicular line will have a slope that is the opposite reciprocal of -2:

  m = -1/(-2) = 1/2

The y-intercept of the desired line can be found from the point (x, y) = (4, -2) using the equation ...

  b = y - mx

  b = -2 -(1/2)(4) = -4

Now, we know the slope and y-intercept of the desired perpendicular line through (4, -2), so we can write its equation as ...

  y = 1/2x -4

__

Additional comment

"Slope-intercept form" is ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

plz help will give crown

Answers

Answer:

C

Step-by-step explanation:

Can I have crown


Explain the different ways you can name an angle. What are the different names for this angle?

Answers

Step-by-step explanation:

Hi,

This is an acute angle.

RST, STR, and TRS are the three different ways to represent/name this angle.

I hope this helps :)

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