Using the distributive property to find the product (y – 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y2 – ay – 64. What is the value of a in the polynomial?

Answers

Answer 1
Answer: ( y - 4 ) ( y² + 4 y + 16 ) =
= y³ + 4 y² + 16 y - 4 y² - 16 y - 64 = y³ - 64
If the result is the polynomial of the form:
y³ + 4 y² + a y - 4 y² - a y - 64
a = 16

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What is each number in scientific notation?
0.00000000005
show how you got your answer

Answers

NAMASTE :)

0.00000000005

= 5 × {10}^( - 11)

Count the Digits after decimal.
We use minus (-) in power as the digit is in left side of decimal

If they are in right side then we use (+) plus sign in power.

Determine the constant of proportionality for the graph.

PLEASE HELP ME!!!!

Answers

Answer:

(1)/(5)

Step-by-step explanation:

On your recent question- you stated that when the x value was 10, the y value was 2. The graph started at the origin. To find the constant of proportionality, use the equation (rise)/(run). In this case, the "run" was 10, since it went +10 from 0. The "rise" was 2, since it went +2 from 0.

(2)/(10) = (1)/(5) simplified.

Solve the triangle.

B = 36°, a = 38, c = 18

Answers

Using cosine law.

b= sqrt(38^2 + 18^2 - 2(38)(18) Cos 36)
using calculator solve.
b = sqrt (1444 + 324 - 1106.75)
b = 25.75

Finishing the answer above:

B=36

a=38

c=18

b=25.7

a-b-c (SSS) {a^2=b^2+c^2-2ab(CosA) [Law of Cosines]

38^2=25.7^2+18^2-2(25.7)(18)(CosA)

1444=660.49+324-925.2(CosA)

1444=984.49-935.2(CosA)

459.51=-935.2(CosA)

-0.491349443969204=CosA

A=119.43

b-B-C (SAA) {(SinC)/c=(SinB/b)} [Law of Sines]

(SinC)/18=(Sin36)/25.7

(SinC)/18=0.022871021489979

SinC=0.411678386819631

C=24.31

A=119.43

B=36

C=24.31

a=38

b=25.7

c=18

Multiplying a number by which of the following would result in a smallest number? 10^-1 10^0 10^1 10^2

Answers

Answer:

To obtained the smallest number multiply the number with  (10)^(-1).

Step-by-step explanation:

Given : (10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2

We have to find when we multiply any number with the given number which number will give the smallest value.

Consider the given numbers,

(10)^(-1),\ (10)^0,\ (10)^1,\ (10)^2

We find the values of each number one by one,

1) consider (10)^(-1), using property of exponents a^(-m)=(1)/(a^m), we have

(10)^(-1)=(1)/(10)=0.1

2) (10)^0 we know any thing to power 0 is always 1.

(10)^0=1

3) (10)^1 is same as itself that is 10.

4) (10)^2 is (10)* 10=100

Thus, To obtained the smallest number multiply the number with  (10)^(-1).

10^-1 would be the smallest answer...

10^-1= .1
10^0= 1
10^1= 10
10^2= 100

I will mark you as brainliest:))

Answers

Answer:

(A)

Step-by-step explanation:

To find the range, you have to subtract the highest value from the list (85) from the lowest value (15) When you subtract these values you get 70, which is the range.

To find the mid-range, you add the highest value from the list (85) and the lowest value (15) When you add these values, you get 100. You then have to divide the sum of the highest and lowest value (100) by 2. When you divide the sum of the highest and lowest value by 2 you get 50, which is the mid-range.

Hope this helps!

Find the derivative of f(x)=7 by the LIMIT PROCESS

Answers

lim [f(x + dx) - f(x)]/dx 
dx -> 0 

but f(x) = 7and f(x + dx) = 7

lim (7- 7)/dx = 0/dx = 0 
dx -> 0