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3 years ago

What is a reasonable constraint for the model -3.2 2.62 -3.2 0

Mathematics

1 answer:

alexandr402 [8]3 years ago

7 0

Answer:

The answer to your question is C. 3.2

Step-by-step explanation:

| 3.2 |

lines | | mean absolute value, and absolute value means the distance of a number to the origin (0,0) it does not matter the sign.

Then to answer your question just do not write the | | and consider it as a positive sign.

If your question had a negative number ex. | -3.2 | the answer would also be 3.2.

Step-by-step explanation:

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Find the sum of the first 18 terms of the arithmetic sequence whose nth term is an = 3n - 1.

vodka [1.7K]

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1 a1=2

a18=3(18)-1 a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)

Sn=18/2(2+53) Solve for sn= 495

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3 years ago

Determine the x-intercepts of the function. Check all that apply. (–2, 0) (–1, –2) (0, 0) (1, 0) (2, 0)

blagie [28]

it's (0, 0) and (-2, 0) so A & C

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3 years ago

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You can run 5 miles in 25 minutes. At this rate, how many miles can you run in 3 hours

kotegsom [21]

Well, if you run 5 miles in 25 minute you run a mile every 5 minutes. So, there is 190 minutes in 3 hours. So we would need to divide 190 by 5 which is 38. So, the person could run 38 miles in 3 hours.

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3 years ago

Find the area of the triangle below.

xenn [34]

Answer:

Well t find the area of a triangle, you need to multiple Base x height. That gives you 43.56. Now you divide by 2. So the end product will give you 21.78. Those same rules apply to every time you are finding the area of a triangle.

Step-by-step explanation:

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2 years ago

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A motorboat takes 5 hours to travel 100mi going upstream. The return trip takes 2 hours going downstream. What is the rate of th

Temka [501]

The boat went 5hours upstream, let's say it has a "still water" speed rate of "b", it went 100miles... however, going upstream is going against the current, let's say the current has a speed rate of "c"

so, when the boat was going up, it wasn't really going "b" fast, it was going " b - c " fast, because the current was eroding speed from it

now, when coming down, the return trip, well the length is the same, so the distance is also 100miles, it only took 2hrs though, because, the boat wasn't coming down "b" fast, it was coming down " b + c " fast, because the current was adding speed to it, so it came down quicker

now, recall your d = rt, distance = rate * time

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&100&b-c&5\\
downstream&100&b+c&2
\end{array}
\\\\\\
\begin{cases}
100=(b-c)5\\
\qquad \frac{100}{5}=b-c\\
\qquad 20=b-c\\
\qquad 20+c=\boxed{b}\\
100=(b+c)2\\
\qquad 50=b+c\\
\qquad 50=\boxed{20+c}+c
\end{cases}$

solve for "c", to see what's the current's speed

what's "b"? well 20+c = b

4 0

3 years ago