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3 years ago

A trains travel is represented by the equation y= 17.5x where y represents the total number of miles the train travel in x hours

1 answer:

3 0

Answer:
Jesse - 150 miles per hour.
Step-by-step explanation:
On the graph, it shows that the rise is 140 and the run is 1. 140/1 is 140, making the slope for Khalid is 140. The equation (y = 150x) shows that the slope is 150 (y = mx). Since 150 is greater than (>) 140, Jesse's train is more faster than Khalid since she is moving at 150mph rather than 140mph.

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Here are the dates of three pivotal female mathematicians: Sophie Germain (French) 1776-1831, Sonja Kowalevsky (Russian) 1850-91

Zina [86]

Sonja kowalevsky
Emmy noether
Sophie Germain

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3 years ago

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kherson [118]

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3 years ago

11. The doubling time of a population of plants is 12 years. Assuming that the initial population is 300 and that the rate of in

Anastasy [175]

Answer:

The population will be of 2400 in 36 years.

Step-by-step explanation:

The equation for the population of plants after t years follows the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the initial amount of plants and r is the yearly rate which it increases.

Assuming that the initial population is 300

This means that P(0) = 300.

The doubling time of a population of plants is 12 years.

This means that P(12) = 2*300 = 600.

We use this to find r.

$P(t) = P(0)(1+r)^{t}$

$600 = 300(1+r)^{t}$

$(1+r)^{12} = 2$

$\sqrt[12]{(1+r)^{12})} = \sqrt[12]{2}$

$1 + r = 1.05946$

$P(t) = 300(1.05946)^{t}$

How large will the population be in 36 years

This is P(36)

$P(t) = 300(1.05946)^{36} = 2400$

The population will be of 2400 in 36 years.

6 0

3 years ago

Collins is working.......

lesya [120]

Let n represent the amount Colin earned on Sunday.

On Sat. he earned n/2; on Sun. he earned n; and on Friday he earned (1/2)(n/2).

Then n/2 + n + n/4 = $70

Mult. all terms by 4 to eliminate fractions:

2n + 4n + n = $280

7n = $280 => n = $40

Colin earned n/2, or $20, on Saturday; n, or $40, on Sunday; and n/4, or $10, on Friday.

Note that $20 and $40 and $10 add up to $70, as they must.

4 0

4 years ago

The sum of the first three terms of a sequence is 6 and the fourth term is 16

Sati [7]

Answer:

a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence: $\boxed{\bold{a_n=7n-12}}$

Step-by-step explanation:

a₁ + a₂ + a₃ = 6

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2 ⇒ a₁ = 2 - d

a₄ = 16

a₁ + 3d = 16

2 - r + 3d = 16

2d = 14

d = 7

a₁ = 2-7 = -5

a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16

equation of arithmetic sequence:

$a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}$

6 0

3 years ago