Answer:
$1,216
Step-by-step explanation:
Costs for Handsome Homes fabric
Area (sq. ft.) Cost (dollars)
(x) (y)
250 475
500 950
750 1,420
1000 1,900
If you divide any y-value by its corresponding x-value, the quotient will be 1.9
This means that each square foot costs $1.90 at Handsome Homes
Discount Diggers = 20% per sq. ft. less than Handsome homes
Discount Diggers = $1.90 - 20%
Discount Diggers = $1.90(100 - 20%)
Discount Diggers = $1.90(0.8)
Discount Diggers = $1.52
Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.
$1.52 = 1 sq. ft.
$1.52(800) = 800 sq. ft.
$1,216
800 square feet of landscape fabric at Discount Diggers costs $1,216
Hope this helps :)
Answer C is the right answer.
Step-by-step explanation:
h(x) = f(x) * g(x)
h(x) = (2*3^x ) * ( 3*3^2x )
2 * 3 is easy, that will be 6.
The ground number 3 remains 3 in h(x), so that is easy too...
But with multiplying exponents, you can add them.
Let's concentrate only on the exponents of f(x) and g(x)... and add them...
x + 2x =3x
So, now combine the easy part with this new exponent, and you get <u>h(x)</u><u> </u><u>=</u><u> </u><u>6</u><u>*</u><u>(3)^(3x)</u>
<u>So</u><u> </u><u>answer C is the right answer.</u>
First term: a1 = 151
common difference: d = -14 (we decrease by 14 each time, eg, 151-14 = 137)
nth term of this arithmetic sequence is...
an = a1+d(n-1)
an = 151+(-14)(n-1)
an = 151-14n+14
an = -14n+165
This will be used in the formula below
Sn = n*(a1+an)/2
<span>Sn = n*(151+(-14n+165))/2
</span><span>S26 = 26*(151+(-14*26+165))/2 ... replace every n with 26
</span>S26 = -624
The final answer here is choice C) -624
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Given data
1. The mean

2. The median

3. The sample standard deviation