What is the answer to a+a-7=2a-8+1

Consider to circular swimming pools.Pool A has a radius of 12 feet and Pool B has a diameter of 7.5 meters which pool has a grea

mamaluj [8]

C = Pi * d where C = circumference, d = diameter, r = radius

C = 2*pi *r

we need to watch the units since they are different

Pool A

C = 2 * pi * r

C = 2 * pi * 12 = 24 * pi in feet

Pool B

C = pi * d

change meters to feet

7.5 m * 3.28 ft/ 1 m = 24.6 ft

C = pi * 24.6 = 24.6* pi in ft

Pool B had a greater circumference

24.6 * pi > 24 pi

6 0

3 years ago

I have attached the question for you

scoundrel [369]

Answer:

s = $\frac{1}{3}$

Step-by-step explanation:

s = ut + $\frac{1}{2}$ at² ( substitute the given values into the equation )

s = ( 3 × $\frac{1}{3}$ ) + ( $\frac{1}{2}$ × - 12 × ( $\frac{1}{3}$ )² )

= 1 + (- 6 × $\frac{1}{9}$ )

= 1 + ( - $\frac{2}{3}$ )

= 1 - $\frac{2}{3}$

= $\frac{1}{3}$

4 0

2 years ago

Read 2 more answers

. Using the Binomial Theorem explicitly, give the 15th term in the expansion of (-2x + 1)^19

timofeeve [1]

Let's rewrite the binomial as:
$(1 - 2x)^{19}$

$\text{Binomial expansion:} (1 + x)^{n} = \sum_{r = 0}^n\left(\begin{array}{ccc}n\\r\end{array}\right) (x)^{r}$

Using the binomial expansion, we get:
$\text{Binomial expansion: } (1 - 2x)^{19} = \sum_{r = 0}^{19}\left(\begin{array}{ccc}19\\r\end{array}\right) (-2x)^{r}$

For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.

Thus, the fifteenth term is:
$\text{Binomial expansion (15th term):} \left(\begin{array}{ccc}19\\14\end{array}\right) (-2x)^{14}$

3 0

3 years ago

Please help quick thank you

Luda [366]

Each square in the diagram is equal to the value of 1 while c isn't equal to the squares. Simply $1\neq c$ . Since there are 6 squares that means 1*6 = 6. The whole value of the squares is 6. While the rectangle value isn't known or defined as "c" and you have 3 rectangles the value of it would be 3*c which is 3c.

So the answer is <u>C. 6+3c</u>

7 0

3 years ago

A real estate company wants to build a parking lot along the side of one of its buildings using 400 feet of fence. If the side a

svetlana [45]

Answer:

1.) Therefore the side parallel to the building is 100 feet.

2.) The side perpendicular to the building is 200 feet.

Step-by-step explanation:

The parking lot, which is rectangular, is built along the side of one of its buildings.

The side of the parking lot which is alongside the building needs no fence,

let us say that this side is of length y.

Let the perpendicular to the building be of length x.

The perimeter of the parking lot that actually needs to be fenced = 2x + y

The amount of fencing available = 400 feet.

Therefore 2x + y = 400 .... (i)

Therefore y = 400 - 2x .... (ii)

The area of the parking lot, A = xy = x ( 400 - 2x) = 400x - $2x^2$ .... (iii)

Therefore $\frac{dA}{dx} = \frac{d(400x - 2x^2}{dx} = 400 - 4x$ .... (iv)

Also we get $\frac{d^2A}{dx^2} = -4$ .... (v)

Hence we will get the maximum value of the parking lot by equating the first order differential of area, A to zero as the second order differential of area, A is negative.

Therefore from (iv) we get 400 - 4x = 0 ∴ x = 100 feet

y = 400 - 2x = 400 - 200 = 200 feet.

1.) Therefore the side parallel to the building is 100 feet.

2.) The side perpendicular to the building is 200 feet.

6 0

3 years ago