Answer:
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Step-by-step explanation:
This question can be solved by a rule of three.
A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.
1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.
How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?
2 and 1/2 batches is 2 + 0.5 = 2.5 batches.
1.75 cups for one batch. How many cups for 2.5 batches? So
1 batch - 1.5 cups
2.5 batches - x cups
c = 2.5*1.5 = 3.75
3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product
Answer:
Σ(-1)^kx^k for k = 0 to n
Step-by-step explanation:
The nth Maclaurin polynomials for f to be
Pn(x) = f(0) + f'(0)x + f''(0)x²/2! + f"'(0)x³/3! +. ......
The given function is.
f(x) = 1/(1+x)
Differentiate four times with respect to x
f(x) = 1/(1+x)
f'(x) = -1/(1+x)²
f''(x) = 2/(1+x)³
f'''(x) = -6/(1+x)⁴
f''''(x) = 24/(1+x)^5
To calculate with a coefficient of 1
f(0) = 1
f'(0) = -1
f''(0) = 2
f'''(0) = -6
f''''(0) = 24
Findinf Pn(x) for n = 0 to 4.
Po(x) = 1
P1(x) = 1 - x
P2(x) = 1 - x + x²
P3(x) = 1 - x+ x² - x³
P4(x) = 1 - x+ x² - x³+ x⁴
Hence, the nth Maclaurin polynomials is
1 - x+ x² - x³+ x⁴ +.......+(-1)^nx^n
= Σ(-1)^kx^k for k = 0 to n
Answer:
w = 3 is your answer.
Step-by-step explanation:
You want to get w by itself.
<em>(2w - 1)/(4) = 2 - w </em><u>You will add the w on both sides.</u>
<em>(3w - 1)/(4) = 2 </em><u>You will multiply 4 on both sides.</u>
<em>3w - 1 = 8 </em><u>You will add 1 on both sides.</u>
<em>3w = 9 </em><u>You will divide 3 on both sides.</u>
w = 3 is your answer.
Answer:
and 
in interval notation.
Step-by-step explanation:
We have been given a compound inequality 
. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.
Dividing by negative number, flip the inequality sign:
Dividing by negative number, flip the inequality sign:
Upon merging both intervals, we will get:
Therefore, the solution for our given inequality would be and in interval notation.
Step-by-step explanation:
d if not d a.................
