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balandron [24]
2 years ago
6

Need work for problems I already know the answers

Mathematics
1 answer:
alexgriva [62]2 years ago
4 0
Don’t take this comment seriously
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Simplify -3d^8(-4d^-14). Assume d =/ 0​
Alenkinab [10]

Answer:

\frac{12}{d^6}

Step-by-step explanation:

-3d^8\left(-4d^{-14}\right)

Double negative = Positive:

3d^8*4d^{-14}

Apply negative exponent formula:

3*d^8*4*\frac{1}{d^{14}}

Multiply:

\frac{12d^8}{d^{14}}

Apply exponent rule: \frac{x^a}{x^b}=\frac{1}{x^{b-a}}

Thus, \frac{12}{d^{14-8}}

Simplify:

\frac{12}{d^6}

8 0
3 years ago
For the function given below, find a formula for the Riemann sum obtained by dividing the interval (0, 3) into n equal subinterv
Viktor [21]

Splitting up [0, 3] into n equally-spaced subintervals of length \Delta x=\frac{3-0}n = \frac3n gives the partition

\left[0, \dfrac3n\right] \cup \left[\dfrac3n, \dfrac6n\right] \cup \left[\dfrac6n, \dfrac9n\right] \cup \cdots \cup \left[\dfrac{3(n-1)}n, 3\right]

where the right endpoint of the i-th subinterval is given by the sequence

r_i = \dfrac{3i}n

for i\in\{1,2,3,\ldots,n\}.

Then the definite integral is given by the infinite Riemann sum

\displaystyle \int_0^3 2x^2 \, dx = \lim_{n\to\infty} \sum_{i=1}^n 2{r_i}^2 \Delta x \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac6n \sum_{i=1}^n \left(\frac{3i}n\right)^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3} \sum_{i=1}^n i^2 \\\\ ~~~~~~~~ = \lim_{n\to\infty} \frac{54}{n^3}\cdot\frac{n(n+1)(2n+1)}6 = \boxed{18}

8 0
2 years ago
Model factors: use tiles to find all the factors of the product, record the arrays on grid paper and write the factors shown.
Ipatiy [6.2K]
The factors is just 1 and 23. The array should be 23 rows/columns of just 1 dot only. Here's an example:

Factors of 5: 1 and 5

Array: •••••
7 0
3 years ago
What is the value of b?
VikaD [51]

Answer: The b-value is the middle number, the number next to the X

5 0
3 years ago
Every even number,except 2,is composite
Degger [83]
Yes. That's correct. Is that what you're asking...? To clarify, prime numbers have a single factor (one and itself) , composite numbers have multiple factors.
5 0
4 years ago
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