How do you write 1 trillion in expanded form?

How many inches are in 8.5 feet (show work please thank you you)

GalinKa [24]

8.5 feet(12 inches per foot)= 102 inches total
There are 102 inches in 8.5 feet

7 0

3 years ago

Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Third-degree, with zeros of −3

RSB [31]

Answer:

$\Large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}$

Step-by-step explanation:

Hello,

Based on the indication, we can write this polynomial as below, k being a real number that we will have to identify (degree = 3 and we have three zeroes -3, -1, and 2).

$\Large \boxed{k(x+3)(x+1)(x-2)}$

We know that the point (1,10) is on the graph of this function, so we can say.

$k(1+3)(1+1)(1-2)=10}\\\\4*2*(-1)*k=10\\\\-8k=10\\\\k=\dfrac{10}{-8}=-\dfrac{5}{4}$

Then the solution is:

$\large \boxed{-\dfrac{5}{4}(x+3)(x+1)(x-2)}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

8 0

3 years ago

Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12×15 feet. The gr

goldenfox [79]

Answer:

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572

Step-by-step explanation:

Given as :

The dimension of rectangular field

Length of rectangular field = L = 12 feet

width of rectangular field = w = 15 feet

The cost of grass per square foot = 50 cents = $0.5 ( ∵ 1 cents = $0.01 )

The cost of small fence = $8 per linear foot

Now, According to question

A ) Let The total feet needed for the fence total perimeter = A feet

∵ Perimeter of rectangular field = 2 × Length + 2 × width

Or, A = 2 × L + 2 × w

Or, A = 2 × 12 feet + 2 × 15 feet

Or, A = 24 feet + 30 feet

∴ A = 54 feet

So, The total feet needed for the fence total perimeter = A = 54 feet

B ) Let The total cost of fence = $B

So, The total cost of fence = The cost of small fence × perimeter of fence

i.e B = $8 × 54 feet

∴ B = $432

So,The total cost of fence = B = $432

C) Let the square feet of grass needed foe the total area = C square feet

∵The Area of rectangular fence = Length × width

Or, The square feet of grass needed foe the total area = Area of rectangular fence = L × w

i.e C = 12 feet × 15 feet

Or, C = 180 feet²

So,The square feet of grass needed foe the total area = C = 180 square feet

D) Let The total cost of grass = $D

∵ The cost of grass per square foot = $0.5

So,Total cost of grass = $0.5 × Area of fence

i.e D = $0.5 × 180 feet²

Or, D = $90

So, The Total cost of grass = D = $90

E) Let the total cost of the project = $E

∵Mr. Jones spend additional $50 for tools

So, The total cost of the project = money spent on tools + total cost of fence + Total cost of grass

i.e E = $50 + B + D

Or, E = $50 + $432 + $90

∴ E = $572

So, The total cost of the project = E = $572

Hence,

A) The total feet needed for the fence total perimeter is 54 feet

B) The total cost of fence is $432

C) The square feet of grass needed foe the total area is 180 square feet

D) The total cost of the project is $572 Answer

3 0

3 years ago

If the circle below is cut from the square of plywood below, how many square inches of plywood would be left over?

Katyanochek1 [597]

Answer:

$= area \: of \: square - area \: of \: circle \\ = (s \times s) - (\pi {r}^{2} ) \\ = (24 \times 24) - (3.14 \times ( { \frac{24}{2} })^{2}) \\ \\ = 576 - 452.16 \\ = 123.84 \: square \: inches$

4 0

3 years ago

5x-2>8 does x equal >2

katovenus [111]

Yes that it correct

4 0

3 years ago

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