NEED HELP ASAP!! SHORT QUESTION!!

Mathematics

1 answer:

vichka [17]3 years ago

3 0

Length. : 3. 4. 6. 8. 9.
Cost ($) : 24. 32. 48. 64. 72

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Find the 52nd term of the following arithmetic sequence.<br> 3, 9, 15, 21,

Alex Ar [27]

Answer:

309

Step-by-step explanation:

a = 3, d = 6, n 52

Nth term of an Arithmetic sequence is given as:

$t_n=a +(n-1)d \\ \therefore \: t_{52}=3 +(52-1) \times 6 \\ \therefore \: t_{52}=3 +51\times 6 \\ \therefore \: t_{52}=3 +306 \\ \huge \red{ \boxed{\therefore \: t_{52}=309 }}\\$

4 0

3 years ago

The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f

Nataliya [291]

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

$\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx$

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

$\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7$

$\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}$

8 0

2 years ago

Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last

ryzh [129]

I believe the correct answer from the choices listed above is the last option. THe missing step of her solution would be the statement "<span>Divide both sides of the equation by 10.4." Hope this answers the question. Have a nice day.</span>

4 0

3 years ago

Read 2 more answers

You have a job earning $12.50 per hour, and you receive a raise so that you earn $13.25 per hour. What is the percent change in

Vlad1618 [11]

$increase = 13.25 - 12.50 \\ increase = 0.75 \: dollars$