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1 year ago

9

A single bacterium lands in your mouth and starts growing by a factor of 4 every hour. After how many hours will the number of b

acteria exceed 1,000?

1 answer:

Ierofanga [76]1 year ago

8 0

Answer:

After 5 hours, the number of bacteria will be 1024

Step-by-step explanation:

1 times 4 = 4

4 times 4 = 16

16 times 4 = 64

64 times 4 = 256

256 times 4 = 1024

It will take around 5 hours to exceed 1000

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Your utility company charges 11 cents per kilowatt-hour of electricity. Complete parts (a) and (b) below. a. What is the dail

Colt1911 [192]

Answer:

a. 9.9 cents

b. 26.5 dollars

Step-by-step explanation:

The first thing they mention to us is the cost of energy 11 cents / kwh

a) In the first point they ask us to calculate the daily cost of keeping the flashlight on for 12 hours, they tell us that it consumes 75 watts per hour, but this value must be passed to kW because the cost is given in kWh

to pass it, it would be: 75 watt * 1 kw / 1000 watt = 0.075 kw,

the formula to apply would be like this:

Daily cost = flashlight cost * time * energy cost

we all know them so we replace:

Daily cost = 0.075 kw * 12 h * 11 cents / kwh = 9.9 cents

b) Now, to know the annual savings, we must calculate the difference between the expense of the normal flashlight and the LED, let's calculate the daily cost of the LED, like this:

20 watt * 1 kw / 1000 watt = 0.02 kw

Daily cost = 0.02 kw * 12 h * 11 cents / kwh = 2.64 cents

Now by calculating the difference we multiply by 365 which are the days of a year.

Savings / year = (9.9 - 2.64) * 365 = 2649.9 cents = 26.5 dollars.

5 0

2 years ago

Alicia drove 265 miles in 5 hours. What is the average rate that she traveled?

Bumek [7]

265/5 = 53/1

53 miles per hour.

*I hope this helped!

5 0

2 years ago

Read 2 more answers

I will get 10% off if and only if i spent at least $75.

sveta [45]

Answer:

great for you my guy

Step-by-step explanation:

im pretty sure you have the answer now but thanks for the points

3 0

2 years ago

Find the value of x in each case:

Zanzabum

Answer:

$x=30\°$

Step-by-step explanation:

<u>Find the measures of interior angles in each triangle</u>

Triangle BGC

$m$

The measures of triangle BGC are $90\°-60\°-30\°$

Triangle CGH

we know that

$m$ -----> by consecutive interior angles

we have that

$m$

so

$m$

$m$

substitute

$m$

we have

$m$

$m$

$m$

remember that

$m$

$60\°+2x+180\°-4x=180\°$

$60\°=2x$

$x=30\°$

The measures of triangle CGH are $60\°-60\°-60\°$

Triangle GHE

$m< EGH=90\°-2x=90-2(30\°)=30\°$

$m< GHE=4x=4(30\°)=120\°$

remember that

$m$

substitute and solve for m<GEH

$30\°+120\°+m$

$150\°+m$

$m$

The measures of triangle GHE are $30\°-120\°-30\°$

6 0

2 years ago

Read 2 more answers

A pair of boots marked for $25 was sold at $15. What was the

patriot [66]

Answer:

40%

Step-by-step explanation:

Original price: $25

Discounted price: $15

Amount of discount: $25 - $15 = $10

The boots sold for $10 less than the original price.

To find the percent discount, we need to find what percent of $25 is $10.

percent = part/whole * 100%

percent = 10/25 * 100%

percent = 0.4 * 100%

percent = 40%

5 0

2 years ago