Answer:
A. 
Step-by-step explanation:
To find f(-2) in f(x)=5*3^x, plug in -2 into all the x values.
f(-2)=5*3^-2, you can use calculator to calculate 3^-2 which equals 0.1, forever 1's.
f(-2)=5*0.1=0.5 Forever 5's.
f(-2)=0.5 or
Hope this helps!
If not, I am sorry.
Separate them first.
7+8=15
5/6+2/6=7/6
There can't be 7/6, so it becomes 1 and 1/6,
15+1+1/6=16 1/6
The answer is 16 1/6.
Answer:
Any radical in the form can be written using a fractional exponent in the form . The relationship between and works for rational exponents that have a numerator of 1 as well. For example, the radical can also be written as , since any number remains the same value if it is raised to the first power.
Step-by-step explanation:
Answer:
The sum of all positive integers less than 100, which are not divisible by 3 is 3267.
Step-by-step explanation:
The all positive integers less than 100 has sum, given by
S₁ = 1 + 2 + 3 + 4 + ......... + 99
⇒ S₁ = 
Now, the sum of all positive integers less than 100 which are divisible by 3 is
S₂ = 3 + 6 + 9 + 12 + 15 + ........ + 99
⇒ S₂ = 3(1 + 2 + 3 + ........ + 33)
⇒ S₂ = 
Therefore, the sum of all positive integers less than 100, which are not divisible by 3 is = S₁ - S₂ = 4950 - 1683 = 3267. (Answer)
Note : The sum of n natural numbers S is given by
S = 1 + 2 + 3 + 4 + ....... + n = 
.
Answer:
The volume of the concrete needed to make the block is 5054 ft³
Step-by-step explanation:
The question relate to the calculation of the volume of a shape
The dimensions of the block are;
The depth of the block, d = 19 ft.
The width of the block, w = 19 ft.
The length of the block, l = 14 ft.
The volume of a cube, V = Length, l × Width, w × Depth, d
Therefore, the volume, 'V' of a cubic block is given as follows;
V = l × w × d = 14 ft. × 19 ft. × 19 ft. = 5054 ft.³
The volume of the concrete needed to make the block = The volume of the block, V = 5054 ft³.
