what is the fifth term of (x-2y)^7

Answers

Answer 1

Answer:

560x^3y^4.

Step-by-step explanation:

The (r+1)th term of (a + b)^r = nCr a^(n-r) b^r

We want the fifth term so r = 5 - 1 = 4:

(4 + 1)th term = 7C4 x^(7-4) (-2y)^4

= 35x^3 16y^4

= 560x^3y^4.


Related Questions

A pound of fertilizer cover 45 square feet of lawn Vivian bulgakov's lawn measures 8666.7 square feet how much fertilizer to the nearest tenth of a pound does she need to buy

Answers

Answer:

193.

Step-by-step explanation:

We would solve this question by cross multiplication.

If a sound of fertilizer covers 45 square feet of lawn and the lawn is 8666.7 square feet

To get fertilizer quantity we have

1 pound = 45 square

Unknown = 8666.7 square feet

8666.7/45

= 192.59 when approximated we get 193.

Therefore she has to buy 193 pounds of fertilizer


Simplify nine square root of two minus three square root of seven-plus square root of eight minus the square root of twenty-eight.

Answers

Answer:

= 11√2 - 5√7

Step-by-step explanation:

9√2 - 3√7 + √8 - √28

= 9√2 - 3√7 + 2√2 - 2√7

add similar elements

= 11√2 - 3√7 - 2√7

= 11√2 - 5√7

Answer:

11[tex]\sqrt{2}[/tex] - 5√7

Step-by-step explanation:

= 9[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{7}[/tex] + 2√2 - 2[tex]\sqrt{7}[/tex]

= 11[tex]\sqrt{2}[/tex] - 3[tex]\sqrt{7}[/tex] - 2[tex]\sqrt{7}[/tex]   add similar elements

= 11[tex]\sqrt{2}[/tex] - 5[tex]\sqrt{7}[/tex]

One thousand students atende queen city elementary school 5/1,000 of the students were absent on Monday how can the number of students be written as a decimal

Answers

Answer:

Number of absent student in decimal = 0.005

Step-by-step explanation:

Given:

Number of student = 1,000

Number of absent student = 5 / 1,000

Find:

Write number of absent student in decimal

Computation:

Number of absent student = 5 / 1,000

Number of absent student in decimal = 5 / 1,000

Number of absent student in decimal = 0.005

evaluate 70 divided by root 10 +root 20 +root 40 - root 80 , if root 10= 3.16 and root 5 =2.24

Answers

Answer:

18.0397079611

Step-by-step explanation:

5x + 6 = 4x - 2
What is x?​

Answers

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 Hi my lil bunny!

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             ❀ [tex]\boxed{x = -8}[/tex] ❀          

[tex]5x+6=4x-2[/tex]

[tex]5x + 6 - 4x = 4x - 2 - 4x[/tex]

[tex]x + 6 = -2[/tex]

[tex]x + 6 - 6 = -2 - 6[/tex]

[tex]x = -8[/tex]

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Have a great day/night!

❀*May*❀

Answer:

x = -8

Step-by-step explanation:

To answer this equation solve for x. When doing so make sure to get x one side

First subtract 4x from each side. This means the equation is now

x + 6 = -2

Next subtract 6 on both side and you should find x

x = -8

X is a normally distributed random variable with mean 95 and standard deviation 3. What is the probability that X is between 89 and 98? Write your answer as a decimal rounded to the nearest thousandth.

Answers

Answer: 0.819

Step-by-step explanation:

Given: X is a normally distributed random variable with mean 95 and standard deviation 3.

Then,  the probability that X is between 89 and 98 will be:

[tex]P(89<X<95)=P(\dfrac{89-95}{3}<\dfrac{X-mean}{standard\ deviation}<\dfrac{98-95}{3})\\\\=P(-2<Z<1)\ \ \ [Z=\dfrac{X-mean}{standard\ deviation}]\\\\ =P(Z<1)-(1-P(Z<2))\\\\= 0.8413- (1-0.9772)\ \ \ [\text{By p-value table}]\\\\= 0.8185\approx0.819[/tex]

Hence, the required probability = 0.819

Combine the like terms to create an equivalent expression:-12-6p-(-2)

Answers

Answer:

-10-6p

Step-by-step explanation:

-12-(-2)-6p = -12+2-6p= -10-6p

Answer:

-10-6p

Step-by-step explanation:

-12-6p-(-2)

-12-6p+2

-12+2-6p

-10-6p

Hope this helps ;) ❤❤❤

Find the value of n.
9 = 9+n

Answers

Answer:

n = 0

Step-by-step explanation:

9 = 9 + n

9 - 9 = n

n = 0

what is the square root of 35​

Answers

Answer:

Step-by-step explanation:

the square root of of 35 is

5.916079783099616

5.9160797831

Step-by-step explanation:

You can round this to 6 as a whole number or 5.9 to 1dp.

Y-4-4y= -1. Somebody help please

Answers

Answer:

Y=-1

Step-by-step explanation:

Y-4-4Y=-1

-3Y=-1+4

-3Y=3

Y=3÷-3

Y=-1

Answer:

y = -1

Step-by-step explanation:

y - 4 - 4y = - 1   Combine like terms

y - 4y - 4 = - 1

-3y - 4 = - 1 Add 4 to each side

-3y - 4 + 4 = -1 + 4

-3y = 3 Divide each side by -3

-3y/-3 = 3/-3

y = -1

Given the points M(-2,-4) and N(1, 5), find the point T that partitions MN in a ratio of 1:2.

Answers

Answer:

Point T is (-1,1)

Step-by-step explanation:

Concept:

If there two points (x1,y1) and (x2,y2) which lies on coordinate plane and them it divided by point p in the ratio m:n then coordinate of point p is given by

p (nx1+mx2)/(m+n),   (ny1+my2)/(m+n)

__________________________________________

Given

points M(-2,-4) and N(1, 5)

ratio : 1:2

point t  is  (2*-2+1*1)/(1+2),   (2*-4+1*5)/(1+2)

=>  (-4+1)/(3),   (-8+5)/(3)

=> -3/3 , 3/3

=> -1, -1

Thus, point T is (-1,1)

Amelia bought 20 chicken wings for $50.00. How much would it cost for 14 wings?

Answers

It would cost $35 dollars for 14 wings. First you find the unit rate of one wing by dividing $50.00 by 20 and you will see it is 2.5 dollars for every wing. Now you would multiply 14 to 2.5

The cost for 14 wings is $35.

Given that,

Total wings bought is 20.Total cost is $50.We need to find the cost for 14 wings.

According to the given data, calculation are as follows,

First we calculate cost for 1 wing,

20 wings = $50

1 wing = $50 [tex]\div[/tex] 20

1 wing = $2.5

Now cost for 14 wings,

Cost for 14 wings = $2.5 [tex]\times[/tex] 14

= $35

Learn more : https://brainly.com/question/4557688

solve for y = x + 8 for x ​

Answers

x = y -8 hope this helps?

What is 5 1/3 ÷2 And explain how

Answers

Answer:

10.6

Step-by-step explanation:

[tex]5 \frac{1}{3} \div 2 = \frac{16}{3} \div 2 = \frac{16}{3} \times \frac{2}{1} = 32 \div 3 = 10.6[/tex]

Change the mixed fraction to Improper fraction

Divide it or multiply it by the reciprocal.

Hope this helps ;) ❤❤❤

Answer:

2.666667

Step-by-step explanation:

Turn 5 1/3 into a improper fraction.

Ari received $100 as a birthday gift and has decided to save this
money as well as add $20 of his own money each month. The total
money Ari has saved can be estimated using the equation g(x) =
20x + 100, where x is the number of months and g(x) is the total
amount of money saved.

Answers

Answer:

Total amount Ari would have saved after 6 months is $220

Step-by-step explanation:

Ari received $100 as a birthday gift and has decided to save this money as well as add $20 of his own money each month. The total money Ari has saved can be estimated using the equation y = 20x + 100, where x is the number of months and y is the total amount of money saved. How much money will Ari have saved after 6 months?

Solution

Given:

g(x) = 20x + 100

where,

x = number of months

g(x) = the total amount of money saved

How much money will Ari have saved after 6 months?

g(x) = 20x + 100

When x = 6

g(x) = 20(6) + 100

= 120 + 100

= 220

g(x) = $220

Total amount Ari would have saved after 6 months is $220

The area of the face of a cube is 9 square centimeters. Use 9 of these cubes to make a rectangular prism. What is the volume of the rectangular prism

Answers

Answer:

243 cm^3

Step-by-step explanation:

The faces of a cube are squares.

A = s^2

s^2 = 9 cm^2

s = 3 cm

The side of the square is the edge of the cube and is 3 cm.

V = s^3

V = (3 cm)^3 = (3 cm)(3 cm)(3 cm) = 27 cm^3

The volume of one cube is 27 cm^3.

The volume of 9 cubes is 9 * 27 cm^3 = 243 cm^3

Answer: 243 cm^3

Convert 1month to hrs​

Answers

Answer:

730.484397 Hours

Step-by-step explanation:

1 day =24 hours

30 days = 720 hours (30*24)

31 days = 744 hours (31*24)

Solve for x.

4 + 3 x / 2 = 5

x = [?]​

Answers

Answer: 2/3 I got this question on my test to and I got it correct!

Zandra went into a candy store to buy jelly beans. She wanted to choose 3 flavors from 12 flavors they sold. How many combinations of 3 flavors could she make

Answers

Answer:

220 ways

Step-by-step explanation:

Total number of flavors (n) = 12

Number of flavors to combine (r) = 3

Recall:

nCr = n! ÷(n-r)! r!

nCr = 12! ÷ (12 - 3)!3!

nCr = 12! ÷ 9!3!

nCr = (12 * 11 * 10) / (3 * 2 * 1)

nCr = 1320 / 6

= 220 ways

х
f(x)
Analyze the table of values for the continuous function,
f(x), to complete the statements.
A local maximum occurs over the interval
A local minimum occurs over the interval
-3
-16
-2
-1
-1
2
0
-1
1
-4
N
-1

Answers

Answer: the answer is

(-2,0)

(0,2)

Answer:

The answer is

( -2, 0 )

(0, 2 )

Step-by-step explanation:

I just took the test and got it right

Hopefully this helps you

pls mark brainlest

1/2x 350 (122 – 62).

Answers

Answer:

My answer is

1/2 ×350(60)

175×60=10500

1/2 • 350 (122-62)
= 1/2 • 350 (60)
= 1/2 • 21,000
= 10,500

Solve for x. 4(2x−3)=11x

Answers

Answer: x=-4

Step-by-step explanation:

Answer:

The correct answer is x = -4.

Step-by-step explanation:

To solve this problem, we should first use the distributive property to get rid of the parentheses on the left side of the equation.  This is modeled below:

4(2x - 3) = 11x

8x - 12 = 11x

Then, we should subtract 8x from both sides to move all of the variable terms to the right side of the equation.

-12 = 3x

Finally, we can divide both sides by 3 to get the variable x completely alone on the right side of the equation.

-4 = x

Therefore, the answer to your question is x = -4.

Hope this helps!

What is 7 (n + 1) = 3 + 7n

Answers

Answer:

no solutions

Step-by-step explanation:

distribute 7 (n+1) =7n+7=3+7n

subtract 7 from both sides (7n=7n-4)

subtract 7n to get 0=-4

so no solutions

Hope this helps :).

And if you want please consider to give me brainliest.

In an effort to prepare for retirement, Zeus decided to sell off some of his powers to Poseidon. Each box of powers contained 4 specific powers. Each box cost Zeus $250. If Zeus wanted to make a profit $900 per box, how much would have to charge Poseidon for each power?

Answers

Answer:

 $287.50

Step-by-step explanation:

From the problem statement the cost price per box is

$250.

And the box contains 4 specific powers, since Zeus plans to make $900 per box  which contains 4 powers

we need to find the selling price

profit= selling price-cost price

let the selling price be x

900=x- 250

x=900+250

x= 1150

Selling price = $1150

Hence the unit cost of a specific power in a box that will see a profit of $900 per box is 1150/4= $287.50

raise 3 to the 2nd power, then add c to the result

Answers

Answer:

Below

Step-by-step explanation:

● 3

● 3^2

● 9

● 9 + c

Answer: 9+c

======================================================

Explanation:

3 to the 2nd power is the same as writing 3^2 in shorthand

3^2 = 3 squared

When we square a number, we're multiplying it by itself (having 2 copies total of the number). Think of a square with side length 3 units. Its area is 3^2 = 3*3 = 9 square units.

From here, we add on c to get our answer 9+c. We don't know the value of c, so we cannot evaluate further. Also, 9 and c are not like terms so we cannot combine them.

Lena is planning on visiting Minneapolis next week on business. Checking her World Time app, she notices that on the day she arrived, the high temperature is forecast to be -12.9 F . What is this temperature in degrees Celsius?

Answers

Answer:

-7.11

Step-by-step explanation:

if Fahrenheit to celsius is celsius*1.8= Fahrenheit then Fahrenheit/1.8= Celcius so -12.9/1.8=7.1... so the degree is -7.11

Jessie was doing business in Ventura city, selling goods. His first sales in the morning doubled his money, and then he spent $12 for breakfast. Prior to noon, he again doubled his money but then spent $12 on lunch. His last sales in the evening once again doubled his money but then he spent his last $12 on dinner. How much money did he have at the beginning of the day?

Answers

Answer:

hi

Step-by-step explanation:

sry

Answer: $10.50

Step-by-step explanation: 10.50x2=21. 21-12=9. 9x2=18. 18-12=6. 6x2=12. 12-12=0.

Find the distance between (8,-4) and (4,3)

Answers

Answer:

sqrt65

Step-by-step explanation:

I think this is the answer

Ok please help i might put 50 for this one

Answers

Your question has been heard loud and clear.

a)

Initial velocity , U=50km/h = 250/18 m/s

Final velocity , V = 0 (this is because the car finally comes to rest)

From 3rd equation of motion , V^2-U^2=2AS.

Now , for a car that goes 50km/h , it has been proven that miniumum brake distance is 6 metres.

so , S = 6 metres.

Using this , we can find the distance stopped by car , and then we can find time.

0-(250/18)^2=2*A*6

0= 2*A*6+(250/18)^2

0 = -12A + 192.90 ( minus sign because car is deccelerating)

So , A = 16.07 m/s^2

V^2-U^2 = 2AS

0 - 192.90 = 2* 16.07*S

So , S (distance) = 24 metres.

Now , we know time = distance / speed

so , time = 24 / 253 = 0.094 seconds

Thank you

Evaluate the expression -24/3

Answers

Answer:

-8

Step-by-step explanation:

[tex]-\frac{24}{3}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{24}{3}=8\\=-8[/tex]

Answer: .-8

Step-by-step explanation:

-24 divided by 3 equals -8

-24/3= -8

Since -24 is negative the answer has to be negative as well because negative divided by positive is negative.

Hope this helps :)

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