Answer:
See below ↓↓
Step-by-step explanation:
a₁ refers to the first term of the sequence.
That is clearly : a₁ = <u>6</u>
<u></u>
The formula for the nth term is :
- aₙ = a₁rⁿ⁻¹
- Common ratio (r) = quotient of consecutive terms
- r = -12/6 = -2
Therefore, the nth term is :
<span>Let each side perpendicular to the river be
"x".
Then the side parallel to the river is "2400-2x".</span>
The function would be:
<span>A(x) = x(2400-2x)
</span>
And it would be: A(x) = 2400x - 2x^2
To solve the equation:
<span>
You have a quadratic with a = -2 and b = 2400
</span>
Maximum Area happens where:
x = -b/2a
= -2400/(2*-2)
<span>= 600 ft. (width)
</span>
To find the length it will be:
<span>= 2400-2x = 2400-2*600 = 1200 (length)</span>
Answer:
Number of Large Pizzas: 30
Number of Medium Pizzas: 8
Number of Small Pizzas: 27
Step-by-step explanation:
L = # of large Pizzas
M = # of medium Pizzas
S = # of small Pizzas
Amount:
L = 4M - 2
S = 3M + 3
Cost:
21L + (I'm assuming you meant 14) 14M + 7S = 931
Plus in the Amounts to the Cost:
21(4M - 2) + 14M + 7(3M + 3) = 931
84M - 42 + 14M + 21M +21 = 931
Combine like terms:
119M - 21 = 931
Isolate the Variable:
119M - 21 + 21 = 931 + 21
119M = 952
119M/119 = 952/119
M = 8
Plug it into the Amount equations:
Large: L = 4(8) - 2
L = 32 - 2
L = 30
Small: S = 3M + 3
S = 3(8) + 3
S = 24 + 3
S = 27
Check your work (plug the values into Cost.):
21(30) + 14(8) + 7(27) = 931
630 + 112 + 189 = 931
931 = 931
Answer:
A=40
B=.625
Step-by-step explanation:
1.25/.25 is 5
1/.25 is 4
.5/.25 is 2
5 x 4 x 2 is 40
multiply all of the sides together
or
multiply the boxes sides together then x 40
It depends on the precision you want.
Considering the data you've given, if you want the result in cm, the numbers should be rounded to 9 and 3, thus giving a total of 12, with two significant numbers.
But taking into account the precision you've reported, looks like the decimals do matter, and in that case, the numbers should be rounded to 9.0 and 2.8, giving a total of 11.8, thus, three significative figures.
