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3 years ago

6

Which quadrant is the point (8,-3)

1 answer:

garri49 [273]3 years ago

3 0

We know that to find the point (8,-3), we must first go to the right on the x-axis from the origin 8 units, and then down directly on the y-axis 3 units. This will then put us in Quadrant IV.

I have attached a picture of the quadrants for future reference.

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A state has a limit on the lengths of cargo trains. The train cannot exceed a length of 1,100 ft. Train A has 28 cars at 40 feet

Bezzdna [24]

Hey there!

For this problem, all you need to do is some multiplication:

40 ft per car * 28 cars = 1,120 ft total
30 ft per car * 34 cars = 1,020 ft total

You can see that Train A exceeds the limit, while Train B doesn't.

Hope this helped you out! :-)

6 0

3 years ago

If a bug can flap its wings at a rate of 60 times in 2 seconds, how many times do they flap their wings in 2.604 minutes? Round

WITCHER [35]

Answer:

4,687.2 flaps

Step-by-step explanation:

#We calculate the number of flaps per second:

$Flaps/Second=\frac{60}{2}\\\\=30 \ flaps$

#Since one minute has 60 seconds, we will multiply our time by 60 seconds and then by flaps/second:

$Flaps=Rate \times time\\\\=30\times 2.604\times 60\\\\=4687.2\ flaps$

Hence, the bird makes 4,687.2 flaps in 2.604 minutes.

5 0

3 years ago

Find the sum of the first 100<br> terms of the arithmetic<br> sequence.<br> a₁ 15 and a100=307

lara31 [8.8K]

The sequence is arithmetic, so there is a constant difference d between consecutive terms such that

$a_{100} = a_{99} + d$

$a_{100} = (a_{98} + d) + d = a_{98} + 2d$

$a_{100} = (a_{97} + d) + 2d = a_{97} + 3d$

and so on, down to

$a_{100} = a_1 + 99d$

(notice the pattern of 100 = 99 + 1 = 98 + 2 = 97 + 3 = … = 1 + 99)

Solve for d :

$307 = 15 + 99d \implies 99d = 292 \implies d = \dfrac{292}{99}$

Now, the sum of the first 100 terms of this sequence is

$\displaystyle \sum_{n=1}^{100} a_n = \sum_{n=1}^{100} \left(15 + \frac{292}{99}(n-1)\right) = \boxed{16100}$

which follows from the well-known sums

$\displaystyle \sum_{n=1}^N 1 = N$

$\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2$

3 0

2 years ago

List the steps that you could use to solve? <br><br> x 4<br> — = —<br> 3 9

Lena [83]

Answer:

multiply by 3

Step-by-step explanation:

$\dfrac{x}{3}=\dfrac{4}{9} \qquad\text{has x-coefficient $\frac{1}{3}$}$

Multiply by the reciprocal of the x-coefficient. Then you have ...

$x=\dfrac{4}{3}$

4 0

3 years ago

PLEASE HURRY!!!!!! Annette wanted to buy new carpet for her L-shaped room. Which expressions could be used to calculate the area

sweet [91]

If it is two answers then it would be both B and C

7 0

3 years ago