It is the sum of the integers from 1-41 minus the sum of the integers from 1-24 divided by 17
the sum of the integers from 1-41 is (42)(45)/2 = 861
the sum of the integers from 1-24 is (24)(25)/2 = 300
(861-300)/17 = 33
The answer is 33
Answer:
B. 1 and D. 3.
Step-by-step explanation:
The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).
The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.
The solutions are at x = 1 and x = 3.
Check:
3 × 1 - 1 = 2¹ 3 × 3 -1 = 2³
3 - 1 = 2 9 - 1 = 8
2 = 2 8 = 8
5x - 2y + 1z = 8 ⇒ 5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9x - 2y - 5z = 4 -4x + 3z = 13
5x - 2y + 1z = 8
-9x + 2y + 2z = 5 ⇒ -9x + 2y + 2z = 5
-9z - 2y - 5z = 4 ⇒ -9x - 2y - 5z = 4
-18x - 3z = 9
-4x + 3z = 13
-18x - 3z = 9
-22x = 22
-22 -22
x = -1
-18x - 3z = 9
-18(-1) - 3z = 9
18 - 3z = 9
- 18 - 18
-3z = -9
-3 -3
z = 3
5x - 2y + z = 8
5(-1) - 2y + 3 = 8
-5 - 2y + 3 = 8
-2y - 5 + 3 = 8
-2y - 2 = 8
+ 2 + 2
-2y = 10
-2 -2
y = -5
(x, y, z) = (-1, -5, 3)
-- 236 of them make 1 cup
-- 946 of them make 1 quart
-- the volume of a tiny cube that's 1 centimeter along each edge
-- 16.4 of them in a little cube that's 1 inch along
-- 4.9 of them make a standard cooking teaspoon
-- a perfume that cost $50 an ounce would cost $1.69 per milliliter
Answer:
Step-by-step explanation:
Volume of rectangular prism = l*w*h
