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dalvyx [7]
3 years ago
10

A train travels 150 miles in 3 hours. At this same rate, how many miles will it travel in 8 hours?

Mathematics
2 answers:
OverLord2011 [107]3 years ago
7 0

Answer:

400

Step-by-step explanation:

you divided 150 by 3 which is 50 then multiply that by 8 which will give you answer

yarga [219]3 years ago
5 0

Answer:

400 miles

Step-by-step explanation:

150/3=50 miles per hour

so, 50(8)= 400 miles in 8 hours. ;)

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What term is used to describe the graphical representation of the change in microbial population over time?
ruslelena [56]

Answer:

The term exponential is often used.

Step-by-step explanation:

The term exponential is used to represent changes in population over time.  The idea of (positive) exponential is that the higher the number, the higher the growth. You can relate this with a population, because the higher the population, the more opportunities for it to multiply, thus, the higher it grows.

Usually the way to meassure the population of an species after certain number of years x, you use an exponential function of the form

f(x) = K_0 * a^x

For certain constants K₀ and a. K₀ is the initial population at the start of the experiment and <em>a </em>number of exponential growth. Essentially, the population of the species is multiplied by a during each year.

For example, if K₀ = 1000 and a = 2, then the population at the start of the experiment is 1000. After the first year is 1000*2 = 2000 and after the second year it is 2000*2 = 4000. Note that, not only the population grow during the years, but also the amount that the population increases also grow: in the first year it grows 1000, and between the first and second year it grows 2000.

7 0
3 years ago
Find the Length of a rectangle given that the perimeter is 192 feet and the length is 3 times the width
gizmo_the_mogwai [7]
The width is 48 and the length is 144. I think
7 0
3 years ago
Find the area of the shaded region
Alex777 [14]

∆BOC is equilateral, since both OC and OB are radii of the circle with length 4 cm. Then the angle subtended by the minor arc BC has measure 60°. (Note that OA is also a radius.) AB is a diameter of the circle, so the arc AB subtends an angle measuring 180°. This means the minor arc AC measures 120°.

Since ∆BOC is equilateral, its area is √3/4 (4 cm)² = 4√3 cm². The area of the sector containing ∆BOC is 60/360 = 1/6 the total area of the circle, or π/6 (4 cm)² = 8π/3 cm². Then the area of the shaded segment adjacent to ∆BOC is (8π/3 - 4√3) cm².

∆AOC is isosceles, with vertex angle measuring 120°, so the other two angles measure (180° - 120°)/2 = 30°. Using trigonometry, we find

\sin(30^\circ) = \dfrac{h}{4\,\rm cm} \implies h= 2\,\rm cm

where h is the length of the altitude originating from vertex O, and so

\left(\dfrac b2\right)^2 + h^2 = (4\,\mathrm{cm})^2 \implies b = 4\sqrt3 \,\rm cm

where b is the length of the base AC. Hence the area of ∆AOC is 1/2 (2 cm) (4√3 cm) = 4√3 cm². The area of the sector containing ∆AOC is 120/360 = 1/3 of the total area of the circle, or π/3 (4 cm)² = 16π/3 cm². Then the area of the other shaded segment is (16π/3 - 4√3) cm².

So, the total area of the shaded region is

(8π/3 - 4√3) + (16π/3 - 4√3) = (8π - 8√3) cm²

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2 years ago
15. Find angle 1.<br> 16. Find angle 2
Sati [7]
Answer: you don’t have a picture so we can’t answer it






5 0
3 years ago
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kumpel [21]

Answer:

y=(x^2 -1)(x^2 +1)(x^2 -4)(x^2 -5)(x +5)(x -4)

sry, but i didn't want to multiply it out. T-T

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4 years ago
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