Answer:
the answer is y= 2/1x + 10
Answer:
C. 19.
Step-by-step explanation:
Let's find the answer.
Step 1: divide the first number of 76, which is 7, by 4 and find the integer part.
7/4=1.75, so the integer part is 1.
Step 2: subtract from 7 the (integer part times 4)
7-(1*4)=3
Step 3: put toether the result (3) and the second number of 76, which is 6, so the result is 36.
Step 4: find how many times we need to add 4s to reach 36, so:
4+4+4+4+4+4+4+4+4=36 which means that:
36/4=9
Step 5: put together the two resulted numbers calculated in step 1, which is 1, and step 4, which is 9:
1 and 9 giving 19, so the answer is:
76/4=19.
In conclusion the answer is C. 19.
The value of gf(5) for the given two expressions is 135.
According to the question,
We have the following information:
f(x)= x +4
g(x) = 3x
Now, in order to find the value of gf(5), we will first find the value of gf.
Now, we will multiply these two expressions:
3x(x+4)
Now, the terms outside the brackets need to multiplied inside the bracket:
Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:
3*5*5+12*5
75+60
135
Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.
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Answer:
C 1055 04 cm
Step-by-step explanation:
We don't need to see the figure, since we know for sure the cone fits into the cylinder (smaller diameter and height).
So, we first need to calculate the volume of the cylinder, which is given by the formula:
VT = π * r² * h
VT = 3.14 * 5² * 16 = 3.14 * 400 = 1,256 cubic cm
Then we calculate the volume of the cone, which is given by:
VC = (π * r² * h)/3
VC = (3.14 * 4² * 12)/3 = (3.14 * 192)/3 = 200.96 cu cm
Then we calculate the void space left inside the cylinder by subtracting the volume of the cone from the volume of the cylinder:
NV = VT - VC = 1,256 - 200.96 = 1,055.04 cu cm
The inverse of subtraction is addition
