Answer:
234
Step-by-step explanation:
We want to find the summation from n = 2 to n = 10 of the equation -4 + 5n.
We can use the summation formula:
, where a1 is the first term, 
is the last term, and n is the number of terms
Here, we can say the first term occurs when n = 2:
-4 + 5n
-4 + 5 * 2 = -4 + 10 = 6
The last term will be when n = 10:
-4 + 5n
-4 + 5 * 10 = -4 + 50 = 46
The number of terms is just 10 - 2 + 1 = 9 terms.
Substitute these in:
Thus, the answer is 234.
9514 1404 393
Answer:
y = -1
Step-by-step explanation:
Sides marked with the same marking are congruent, so we have two equations:
Adding the equations gives ...
5x = 25
x = 5 . . . . . . divide by 5
Then the second equation tells us ...
y = 9 -2x = 9 -2(5) = -1
The value of y is -1.
Answer:
D
Step-by-step explanation:
f(x) - g(x) = -9x^2 - 7x + 12 - (3x^2 - 4x - 15) Remove the brackets
f(x) - g(x) = -9x^2 - 7x + 12 - 3x^2 + 4x + 15
f(x) - g(x) = -9x^2 - 3x^2 - 7x + 4x + 12 + 15
f(x) - g(x) = -12x^2- 3x + 27
Answer D
Answer:
about 65.4 inches cubed
Step-by-step explanation:
The formula for the volume of a sphere is 4/3πr^3.
V = 4/3πr^3
= 4/3π(2.5^3)
= 20.83π = <u>about 65.4 inches cubed</u>
