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3 years ago

14

Find the 88th term of the arithmetic sequence 26, 28, 30, ...

1 answer:

elena-s [515]3 years ago

6 0

Answer:

200

Step-by-step explanation:

The nth term of an arithmetic sequence is given as:

f(n) = a + (n - 1)d

where a = first term

d = common difference

The first term of the sequence is 26 and the common difference is 2 (28 - 26 = 2)

The 88th term of the sequence is therefore:

f(88) = 26 + (88 - 1)*2

f(88) = 26 + (87 * 2)

f(88) = 26 + 174

f(88) = 200

The 88th term is 200.

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photoshop1234 [79]

To answer the question above, let x be the number of palettes of the roofing material that one elevator trip may carry.

The inequality expression that satisfy the condition above will then be,

195 + 425x ≤ 2,320

Solving for x gives x ≤ 5. Thus, the maximum number of palettes of roofing materials that may be brought is 5.

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3 years ago

Use the distributive property to remove the parentheses.<br> -3(-6y +3w-2)

LekaFEV [45]

Answer:

18y-9w+6

Step-by-step explanation:

-3*-6y=18y

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2 years ago

Read 2 more answers

Y=4x-2tan(x), (-pi/2,pi/2)<br> which are the relative min and max?

Jlenok [28]

relative max = pi -2

relative min = -2 pi

Step-by-step explanation:

y= 4x- 2tan(x), (-pi/2,pi/2)

To find relative max and min,

According to mathematical procedure to find relative max and relative min,

the following procedure should be carry out.

Derivating equation with respect to x,

$\frac{dy}{dx} =\frac{d}{dx} (4\times x -2 \times tan x)$ .....(1)

Equating equation (1) to Zero,

We get,

$0 =\frac{d}{dy} (4\times x -2 \times tan x)$

$0 = 4 -2 \times sec^{2} x$

$4 = 2 \times sec^{2} x$

$2 = sec^{2} x$

$x= \frac{\pi }{4}$ ....stationary point

There are total three points

1. -pi/2 2. pi/2 3. pi/4

checking local min and local max

first considering -pi/2;

$\frac{d^{2}y }{dx^{2} } =\frac{d^{2} }{dx^{2} } (4\times x -2 \times tan x)$ ...(2)

putting x= pi/4 in equation (2),

we get,

$\frac{d^{2}y }{dx^{2} } = -4$ <0

So, we have local max at x=pi/4

by putting value of x in equation (1);

we get,

$y = 4\times (\pi /4 ) -2 \times tan (\pi /4 )$

$y = \pi - 2$ .... is maximum point.

Similarly, at x= -pi/ 2,

$\frac{d^{2}y }{dx^{2} } = 1$ >0

So, we have local min at x=-pi/2

by putting value of x in equation (1);

we get,

$y = 4\times (-\pi /2 ) -2 \times tan (-\pi /2 )$

$y = -2 \times \pi$ .... is minimum point

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3 years ago

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Four friends ordered a pizza cut into eight slices. The whole pizza was eaten, with each friend eating a different number of sli

siniylev [52]

Answer:

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person 4: 4 pieces

Step-by-step explanation: I don't know I did it in my head

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3 years ago

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Write an equation for each situation

Arte-miy333 [17]

9(4) = 36
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3 years ago