A carpenter has a 6-foot long board. he wants to cut his board into pieces that are 4/5 foot long

How do you use distributive property on s+0.08s?

Ivanshal [37]

Answer:

s(1+.08)

Step-by-step explanation:

Each term is divisible by s, so that means we can divide them by s, which we get 1+.08, therefore getting s(1+.08) (or s(1.08)).

7 0

3 years ago

Read 2 more answers

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

o-na [289]

This is just cylinder surface area, right? Equation for that would be 2πrh+2πr^2. If we input the data given from the image, it’d be (2 x π x 3.5 x 4)+(2 x π x 3.5 x 3.5). (4 is the height, and I found the radius by dividing the diameter, 7, in half, which is 3.5.) if u plug that into a calculator, u get 164.93.

8 0

2 years ago

X^5 + 243 divided by x+3

ch4aika [34]

-3   | 1   0   0   0   0   243 $\longleftarrow$ coefficients of the polynomial you're dividing
.     |                                   $\longleftarrow$ drop down the leading coefficient
- - - - - - - - - - - - - - - - - - -
.     | 1

On the left side of the frame, we write -3 because we're dividing by $x+3=x-(-3)$ . (The algorithm is followed for division of a polynomial by a factor of $x-c$ .) Since we're dividing a degree 5 polynomial by a degree 1 polynomial, we expect to get a degree 4 polynomial.

-3   | 1   0   0   0   0   243
.     |      -3                         $\longleftarrow$ multiply -3 by 1, write in next column, add to 0
- - - - - - - - - - - - - - - - - - -
.     | 1 -3

Repeat step for the remaining columns.

-3   | 1   0   0   0   0   243
.     |      -3   9
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9

-3   | 1   0   0      0   0   243
.     |      -3   9   -27
- - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27

-3   | 1   0   0      0 0   243
.     |      -3   9   -27   81
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81

-3   | 1   0   0      0 0 243
.     |      -3   9   -27   81 -243
- - - - - - - - - - - - - - - - - - - - -
.     | 1 -3   9   -27   81       0

which translates to

$\dfrac{x^5+243}{x+3}=x^4-3x^3+9x^2-27x+81$

So the bottom row of the frame gives the coefficients of each term in the quotient by descending order. Since the last coefficient is 0, this means the remainder upon division vanishes, i.e. $x^5+243$ is exactly divisible by $x+3$ .

- - -

Another way to get the same result is to use a well-known result: for $a+b\neq0$ ,

$a^5+b^5=(a+b)(a^4-a^3b+a^2b^2-ab^3+b^4)\implies\dfrac{a^5+b^5}{a+b}=a^4-a^3b+a^2b^2-ab^3+b^4$

and in this case $a=x$ and $b=3$

3 0

4 years ago

To track the reptile population around a lake, researchers marked 200 turtles. A few weeks later, they counted 480 turtles, of w

True [87]

Answer:

1500

Step-by-step explanation:

64/200 = 32/100 = 16/50 =

8/25 of 480 turtles marked

divide 480 by 8 and then multiply the quotient by 25

480/8= 60

60*25=1500

6 0

3 years ago

I need help with answering question 16 on spring board algebra 2 pg. 35 the questions says solve the system using substitution t

Jet001 [13]

Answer:

x = 147

y = 32

Step-by-step explanation:

I got a bit confused by what you said, but I think you need help being shown how to do 16, so hopefully the following will help!

So to use substitution you "plug in" the expression into each other. Here is what to do for 16!

[] First, we need to find which expression can be plugged in. The first one works! It is set equal to x, so we can easily plug it in.

[] Now, we need to set up our equation!

3y - x = -13

/\

4y + 19 = x

3y - 4y + 19 = -13

[] Now, we <u>solve for y</u> and simplfy!

3y - 4y + 19 = -13

-y = -32

(I subtracted 19 for both sides and combined the y's)

Now I am going to add -y and -32 to both sides so I can have it be positive.

y = 32

[] Last, but not least, we <u>solve for x</u>!

- Plug the y you just solved into the equation for x

4y + 19 = x

4(32) + 19 = x

128 + 19 = x

147 = x

(hopefully this is correct, have a nice day!)

5 0

3 years ago