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3 years ago

7

Dominic bought a new alarm clock that was on sale for $18.75. If this price represents a 30% discount from the original price, w

hat is the original price to the nearest cent?

1 answer:

Orlov [11]3 years ago

6 0

P - 0.30= $18.75

18.75 + 0.30 = p

$19.05 = p

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Fill in the blanks with the most appropriate words given below.

grin007 [14]

Answer:

1. plants

2. together

3. is

4. family

5. talking

6. weeds

7. experience

8. planter

9. on

10. fields

11. too

12. method

13. around

14. react.

Explanation:

The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.

The blanks in the given passage are filled with the appropriate words as follows-

Ecology is the study of how <em><u>(1) plants</u></em>, animals, and people live <u><em>(2) together</em></u> and help each other. But man sometimes forgets he <em><u>(3) is</u></em> a part of the <u><em>(4) family</em></u> of all living things. Here is an example. A planter is <u><em>(5) talking</em></u> about killing <u><em>(6) weeds</em></u> on his land. He remembers his first <u><em>(7) experience</em></u> with a weedicide. He was a <u><em>(8) planter</em></u> then, working <u><em>(9) on</em></u> a rubber plantation. He had a problem with weeds. The cost of weeding of the <u><em>(10) fields</em></u> by hand was getting <em><u>(11) too</u></em> high. So he used a new, cheap, and effective <u><em>(12) method</em></u>, good old Sodium Arsenate. He sprayed plenty of this <em><u>(13) around</u></em> to kill the weeds. The first thing to <em><u>(14) react</u></em> were the frogs.

5 0

3 years ago

Marla’s School has 1,030 students. Kim’s school has 3 times as many students as Sandi’s School. Write an equation to find the nu

DENIUS [597]

Answer:

3090

Step-by-step explanation:

times 1,030 to 3.

6 0

2 years ago

Algebra: Explain in words how to write an equation that is part one: parallel and then also part two: perpendicular to the equat

sweet-ann [11.9K]

A line that is parallel has the same slop where a line that is perpendicular has a slop that is negative and reciprocal.

so for the parallel one you don't need to worry about the slop because it will be 2/3x. But yous the point slope equation form

y-y1=m(x-x1)

y+5=2/3(x+2)

y+5=2/3x+ 4/3

y=2/3x-11/3

-2/3x+y=-11/3

multiple by -1 so A inst negative

2/3-y=11/3

For a line that is perpendicular you just need to flip the original 2/3x slope and make it negative.

y+5=-3/2(x+2)

y+5=-3/2x-3

y=-3/2x-8

3/2x+y=-8

8 0

2 years ago

During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time

Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

$\frac{dP}{dt} = Pr$

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

$\frac{dP}{P} = r dt$

$\int \frac{dP}{P} = \int r dt$

$\ln{P} = rt + K$

Applying the exponential to both sides:

$P(t) = Ke^{rt}$

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

$P(t) = 300e^{rt}$

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

$P(t) = 300e^{rt}$

$1000 = 300e^{24r}$

$e^{24r} = \frac{1000}{300}$

$e^{24r} = \frac{10}{3}$

$\ln{e^{24r}} = \ln{\frac{10}{3}}$

$24r = \ln{\frac{10}{3}}$

$r = \frac{\ln{\frac{10}{3}}}{24}$

$r = 0.05$

So

$P(t) = 300e^{0.05t}$

At what time t is the population 500?

This is t for which P(t) = 500. So

$P(t) = 300e^{0.05t}$

$500 = 300e^{0.05t}$

$e^{0.05t} = \frac{500}{300}$

$e^{0.05t} = \frac{5}{3}$

$\ln{e^{0.05t}} = \ln{\frac{5}{3}}$

$0.05t = \ln{\frac{5}{3}}$

$t = \frac{\ln{\frac{5}{3}}}{0.05}$

$t = 10.22$

The population is of 500 after 10.22 hours.

7 0

2 years ago

What would have been the elevation in the valley if he had started at an elevation 300 meters below sea level?

Masja [62]

Answer: -300 meters

Step-by-step explanation: If he started from 0 (sea level) and went 300 meters under, meaning 0-300=-300 meters.

4 0

2 years ago

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