Using the binomial theorem expression to expand (4a+7b)^8, what would you substitute for the values of a and b?


A. a=11 and b=8


B. a=4a and b=7b


C.a=4 and b=7


D. a=8 and b=7

Answers

Answer 1

Answer:

B. [tex]a = 4\cdot a[/tex] and [tex]b = 7\cdot b[/tex].

Step-by-step explanation:

The Binomial Theorem states that a binomial of the form [tex](a+b)^{n}[/tex], [tex]a, b\in \mathbb{R}[/tex] can be expanded in the following form:

[tex](a+b)^{n} = \Sigma \limits_{i=0}^{n} \frac{n!}{k!\cdot (n-k)!} \cdot a^{n-i}\cdot b^{i}[/tex] (1)

If we have [tex](4\cdot a + 7\cdot b)^{8}[/tex], then [tex]a = 4\cdot a[/tex] and [tex]b = 7\cdot b[/tex]. In a nutshell, correct answer is B.

Answer 2

B
That is the correct answer, hope it helps my dudes!


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factor the trinomial completely. 10x^2+7x-12

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the answer is (2x + 3)(5x - 4)

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Answer:

try this 20+10 =       20x10 =       20-10=

Step-by-step explanation:

add the first one, than times the other one, after subtract the last one.

A drum used for percussion has sides modeled by a hyperbola. The total height of the drum is 35 inches. The diameter at the top of the drum is 16 inches, and the minimum diameter is 8 inches, occurring at a height of 22 inches. Determine the equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola occurs at the height where the diameter is the least.

Answers

look at the screen shot ya know

The equation of a hyperbola that models the sides of the drum assuming that the center of the hyperbola is (35 + a)²/a² - 8²/b² = 1 and (22+ a)²/a² - 4²/b² = 1

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that the total height of the drum is 35 inches.

The diameter at the top of the drum = is 16 inches, and

The minimum diameter is 8 inches, occurring at a height of 22 inches.

The equation of the hyperbola be denoted as;

x²/a² - y²/b² = 1

From the question, with x and y coordinates representing height and radius respectively,

Then,

When  x = 35 + a, y is = 16/2 = 8 and

At x = 22+ a, y  is = 8/2 = 4

Thus,

(35 + a)²/a² - 8²/b² = 1

(22+ a)²/a² - 4²/b² = 1

By solving, we have, a = 128.95 and b = 14.75

Therefore a= 128.95 and b = 14.75

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(f) 0.7 - 6.32 + (-0.8) + 1.28​

Answers

Answer:

=0.7f−5.84

Step-by-step explanation:

Let's simplify step-by-step.

f(0.7)−6.32−0.8+1.28

=0.7f+−6.32+−0.8+1.28

Combine Like Terms:

=0.7f+−6.32+−0.8+1.28

=(0.7f)+(−6.32+−0.8+1.28)

=0.7f+−5.84

Answer:

=0.7f−5.84

Pls Brainliest

A right triangle has a base of 6 inches and a height of 10 inches.What is the area of the triangle

Answers

Answer:

dont know

Step-by-step explanation:

Answer:

I thinks it is 30 squared inches

Hudson went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $29, but the price with tax came to $31.61. Find the percent sales tax.

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Answer:

18

Step-by-step explanation:

multiply then add a all together

help plz ill give extra points ?

Answers

Answer:

Step-by-step explanation:

Not sure

Answer:

45 degrees

Step-by-step explanation:

they are both the same half so 90 divided by 2 is 45

brainly plus if u help

Answers

Answer:

huh

Step-by-step explanation:

Write the equation of a line that passes through the point (1,4) and has a slope of 9.

Answers

Answer:

y=9x-5

Step-by-step explanation:

You want to find the equation for a line that passes through the point (1,4) and has a slope of 9.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 9. So you can right away fill in the equation for a line somewhat to read:

y=9x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(1,4). When x of the line is 1, y of the line must be 4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the 9 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (1,4).

So, why not plug in for x the number 1 and y the number 4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(1,4). y=mx+b or 4=9 × 1+b, or solving for b: b=4-(9)(1). b=-5.The equation of the line that passes through the point (1,4) with a slope of 9

is

y=9x-5

Find two consecutive whole numbers that √45 falls between.

Answers

It would fall between 6 and 7.

8th grade math, please help.
I’ll give you brainliest if you want.

-Find the volume-

Answers

Answer:

113.10

Step-by-step explanation:

Answer:

how to make sugar cookies :)

Step-by-step explanation:

2 ¾ cups all-purpose flour

1 teaspoon baking soda

½ teaspoon baking powder

1 cup butter, softened

1 ½ cups white sugar

1 egg

1 teaspoon vanilla extract

The area of the triangle below is 12.16 square centimeters. What is the length of the base?
3.2 cm is the height

Answers

2 * A/ B= 2 * 12.16  / 3.6 = 6.76

Show work and explain how too find the answer please I’m not fully understand the question

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Answer:

She would have 24 single shoes. This is because she has 12 pairs and there are 2 of something in each pair. Therefore, Danielle would have 24 single shoes. (12*2=24) Hope this helped!!

helpppppp ill give brainliest answer if you know

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Answer:

16 in squared

Step-by-step explanation:

Plzzzzzzz help this is tonight plzzzzzzz

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Answer:

Step-by-step explanation:

tto blurrry

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Answer:

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Step-by-step explanation:

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JK, KL and LJ are all tangent to O (not drawn to scale). JA = 13, AL = 9, and
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a.)66
b.)44
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d.)48

Answers

Answer:

a.) 66

Step-by-step explanation:

Perimeter of JKL = JA + AL + CK + CL + KB + JB

JA = 13,

AL = 9,

CK = 11

CL = AL = 9 (tangents drawn from an external point are congruent)

KB = CK = 11 (tangents drawn from an external point are congruent)

JB = JA = 13 (tangents drawn from an external point are congruent)

Plug in the values

Perimeter of JKL = 13 + 9 + 11 + 9 + 11 + 13

= 66

A farmer sells 8.5 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer:

6 kilograms of apples

Step-by-step explanation:

8.5-2.5=6

Hope I helped

PLEASE HELP ASAP
Solve the right triangle. Round lengths to the nearest tenth and angles to the nearest degree

Answers

is there a picture to go along with this?

The human retina contains cells called rods
and cones that absorb light and change it
to electric signals sent to the brain. There
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6,000,000 cones in a retina. How is the
number of rods in a human retina written
using scientific notation?

Answers

Answer:

H) 1.2 x 10^8

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

1.2 x 10^8

hey i think the answer is 1.2 * 10^8

Please help and thanks in advance


Add 0.65 and 0.24. How many tenths are in the sum?

Answers

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Number of tenths are in the sum is 8

What is Decimal number?

The decimal numeral system is the standard system for denoting integer and non-integer numbers.

What is Addition?

Addition is the action or process of adding something to something else.

Given,

The numbers 0.65 and 0.24

Add them together

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Here the number is a decimal number that is 0.89

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the regular price of a camera 180.00.the camera is on sale for 25% off the regular price.what is the sale price of the camera in dollars and cents​

Answers

Answer: $135

Step-by-step explanation:
180 decrease 25% =
180 × (1 - 25%) = 180 × (1 - 0.25) = 135

Hope this helps (:
The answer is 135.00

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Answers

Answer:

1/16

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest!!!

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Just do 1/4 divided by 4

Step-by-step explanation:

a/b ÷ c/d= a/b × d/c  

remember 4 can be re-written as 4/1

and lastly

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The solution to a system of equations is (6,3) choose 2 equations that might make up the system

Answers

Answers: 2y=6 and y=x/2

Need help on this question

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Answer:

c Christopher

Step-by-step explanation:

hope this helps

C. Christopher would be the answer because no matter which way 6.15 is farthest from 0.

Match each indicated measure in the first column for

O
⊙O.

Answers

Answer:

Step-by-step explanation:

By the property,

"Measure of the intercepted arc is double of the inscribed angle"

m(arc BC) = 2×48°

                = 96°

By using the same property,

m(arc AC) = 2 × m(∠B)

m(∠B) = [tex]\frac{110}{2}[/tex]

          = 55°

m(∠A) + m(∠B) + m(∠C) = 180° [Triangle sum theorem]

48° + 55° + m(∠C) = 180°

m(∠C) = 180° - 103°

          = 77°

m(arc AB) = 2 × (m∠C)

                = 2×77

                = 154°

Order these numbers from least to greatest: 1.05, 0.95, 0.75, 1.01

Answers

Answer:

0.75 0.95 1.01 1.05

Step-by-step explanation:

Answer:

0.75,0.95,1.01,1.05

Step-by-step explanation:

Thats in order from smallest to biggest.

Hope this helped! If it did, please give me brainliest! That would help a lot! Thanks! :D

PLEASE HELP!!!! A diver is in a diving board located 11 feet above the surface of a pool. A swimmer is directly below the diver 4 feet below the surface of the pool. What is the difference between the height of the diver and the height of the swimmer?

Answers

Answer:

I think it is a 7 foot difference between both sorry if wrong

I thinks it’s 6 sorry if wrong.

wich expression is equivalent to 2,3/5 divided by 7/9​

Answers

it’s 27/35 so 27/1 * 1/35 sorry if im wrong

Answer:

117/35 is equalivent expression

Step-by-step explanation:

2 3/5 divided by 7/9

so you need to make 2 3/5 into a fraction

you do the denominator time the whole number plus the numerator to get 13/5

13/5 / 7/9

when you divided fractions you flip the seccond fraction and multiply to get....

   13/5 times 9/7

so you do. 13 times 9 and 5 times 7

you get 117/35

Bags of flour at a local grocery store have a mean weight of 83 ounces with a standard deviation of 2 ounces. The manufacturer of the flour states that 5% or less of the bags are underweight. What is this weight?

Find the z-table here.

79.7 ounces
80.4 ounces
80.9 ounces
81.3 ounces

Answers

Answer is 80.4 ounces :)!!!!

Answer:

80.4

Step-by-step explanation:

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