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3 years ago

Anybody know this one? I was leaning towards D but not sure

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer:

You would be correct!

Step-by-step explanation:

10 × 4 = 40 40 + 15 = 55 therefore D is the answer great job!

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Using sigma notation write the geographic series: 6+12+24+48+96

Alika [10]

Answer:

$\sum_{n=1}^{5} 6(2^{n-1})$

Step-by-step explanation:

6 + 12 + 24 + 48 + 96 =

= 6 + 6 * 2 + 6 * 4 + 6 * 8 + 6 * 16

= 6 + 6 * 2^2 + 6 * 2^2 + 6 * 2^3 + 6 * 2 * 4

= 6 * 2^(n - 1)

$\sum_{n=1}^{5} 6(2^{n-1})$

4 0

3 years ago

HELPPPP MEEEE PLEASEEE!!!

Alex_Xolod [135]

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7 0

3 years ago

Read 2 more answers

PLZ HELP!!! Use limits to evaluate the integral.

Marrrta [24]

Split up the interval [0, 2] into <em>n</em> equally spaced subintervals:

$\left[0,\dfrac2n\right],\left[\dfrac2n,\dfrac4n\right],\left[\dfrac4n,\dfrac6n\right],\ldots,\left[\dfrac{2(n-1)}n,2\right]$

Let's use the right endpoints as our sampling points; they are given by the arithmetic sequence,

$r_i=\dfrac{2i}n$

where $1\le i\le n$ . Each interval has length $\Delta x_i=\frac{2-0}n=\frac2n$ .

At these sampling points, the function takes on values of

$f(r_i)=7{r_i}^3=7\left(\dfrac{2i}n\right)^3=\dfrac{56i^3}{n^3}$

We approximate the integral with the Riemann sum:

$\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{112}n\sum_{i=1}^ni^3$

Recall that

$\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4$

so that the sum reduces to

$\displaystyle\sum_{i=1}^nf(r_i)\Delta x_i=\frac{28n^2(n+1)^2}{n^4}$

Take the limit as <em>n</em> approaches infinity, and the Riemann sum converges to the value of the integral:

$\displaystyle\int_0^27x^3\,\mathrm dx=\lim_{n\to\infty}\frac{28n^2(n+1)^2}{n^4}=\boxed{28}$

Just to check:

$\displaystyle\int_0^27x^3\,\mathrm dx=\frac{7x^4}4\bigg|_0^2=\frac{7\cdot2^4}4=28$

4 0

2 years ago

Chelsea makes $9.00 an hour working at Chick-Fil-A. She plans to buy some music for her phone and Air Pods that cost $278.10. Wr

Talja [164]

Answer:

31 hours

Step-by-step explanation:

To at least buy the Air-Pods she will need to work at least 31 hours. You can either round at the beginning or end, I'll demonstrate rounding at the end. Divide $278.10 by $9.00, getting 30.9. You would have to round up to insure you have enough money, getting 31 hours

6 0

3 years ago

Finding Missing Sides in Similar Figures

ivanzaharov [21]

Answer:

Step-by-step explanation:

$\frac{x}{11}=\frac{52}{4}\\\\ x=\frac{52}{4}*11\\\\x=13*11\\\\x=143$

In similar figure all the corresponding angles will be congruent and corresponding sides will be in ratio

4 0

2 years ago

Read 2 more answers