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prohojiy [21]
2 years ago
4

You decide to take your car on a drive through Canada, where gas is sold in liters and distances are measured in kilometers. Sup

pose your car's gas efficiency is 39.0 mi/gal. How many liters of gas will you need to complete a 213 km trip? Use the conversions 1 gal = 3.78 L and 1 km = 0.6214 mi.
Mathematics
1 answer:
iren2701 [21]2 years ago
6 0

Answer:

12.846 liters

Step-by-step explanation:

Efficiency of car is  39.0 mi/gal

using the conversion given, converting the efficiency of the car from miles/gallon to kilometers/liters.

So,  39.0 mi/gal ÷ 2.352 km/liter

16.5808 km/liter

if  16.5808 km/liter is consuming gas of 1 liter

therefore, for 213 km, it takes gas = 213/ 16.5808

=> 12.846 liters

Thus, you will need 12.846 liters of gas will you need to complete a 213 km trip

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An orange is shot up into the air with a catapult. The function h given by h(t)=15+60t-16t^2 models the orange’s height, in feet
Studentka2010 [4]

Complete question is:An orange is shot up into the air with a catapult. The function h given by h(t) = 15 + 60t - 16t² models the orange’s height, in feet, t seconds after it was launched.

Select all the true statements about the situation.

Options:

1. The domain of function h only contains values greater than or equal to 0.

2. The orange is at the same height 1 second after launch and 2 seconds after launch.

3. After 3 seconds, the orange has hit the ground.

4. The orange is 15 feet above the ground when it is launched.

5. The value t = 10 does not belong to the domain of h.

Answer:

Option 1 - True

Option 2 - False

Option 3 - False

Option 4 - True

Option 5 - True

Step-by-step explanation:

Looking at the options,

-The domain is the x or t value and it is time. Now, time can only be positive or greater than or equal to zero i.e. t ≥ 0. Thus, option 1 is true.

- At t = 1 second;

h = 15 + 60(1) - 16(1)²

h = 15 + 60 - 16 = 59 ft

Also, at t = 2 seconds;

h = 15 + 60(2) - 16(2)²

h = 15 + 120 - 64 = 71 ft

So,value of h is not the same at t = 1 and t = 2. Thus, option 2 is not true.

- The orange will hit the ground when h(t) = 0.

However, at t = 3;

h(t) = 15 + 60(3) - 16(3)²

h(t) = 51 ft

h(t) is not equal to zero at t = 3, so option 3 is false

- when the orange is launched it is at time t = 0.

Thus,

h(0) = 15 + 60(0) - 16(0)²

h(0) = 15 ft

So option 4 is true.

- At t=10, h(t) = 15 + 60(10) - 16(10)²

h(10) = -985

This means the orange would be below ground level and thus doesn't belong to the domain of h, so option 5 is true.

6 0
2 years ago
the population of Ketcham high school has been decreasing by 5 % per year.if it's population is currently 2600 which of the foll
kap26 [50]
5% = .05
2600 x .05 = 130
130 x 2 = 260
2600 - 260 = 2340

The population will be 2340 people.
6 0
2 years ago
Which is a zero of the quadratic function f(x) = 16x2 32x − 9?
tankabanditka [31]
A zero of a function is the value of x for which f(x) = 0
f(x) = 16x^2 + 32x - 9 = 0
16x^2 - 4x + 36x - 9 = 0
(16x^2 - 4x) + (36x - 9) = 0
4x(4x - 1) + 9(4x - 1) = 0
(4x + 9)(4x - 1) = 0
4x + 9 = 0 and 4x - 1 = 0
4x = -9 and 4x = 1
x = -9/4 and x = 1/4
8 0
2 years ago
Read 2 more answers
Mike earned x dollars the first week of his new job. He earned 5% more the second week than the first week. Which expression rep
gregori [183]

The expression represents the total amount of money Mike earned for both weeks is 2.05x dollars

<em><u>Solution:</u></em>

Given that, Mike earned x dollars the first week of his new job

He earned 5% more the second week than the first week

To find: Total amount earned in both weeks

From given,

Amount earned in first week = "x" dollars

Amount earned in second week = 5 % more than first week

Therefore,

Amount earned in second week = x + 5 % of x

\rightarrow x + 5 \% \times x\\\\\rightarrow x + \frac{5}{100} \times x\\\\\rightarrow x + 0.05x = 1.05x

Thus amount earned in second week = 1.05x dollars

<em><u>The total amount earned in both weeks:</u></em>

Total amount = Amount earned in first week + Amount earned in second week

Total\ Amount = x + 1.05x = 2.05x

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5 0
2 years ago
What is m? 49° 77° 98° 161°
Mariana [72]

we know that

The measurement of <u>the external angle</u> is the semi-difference of the arcs it includes.

In this problem

21\°=\frac{1}{2}[arc\ RU-arc\ SU]

Solve for the measure of arc SU

42\°=[arc\ RU-arc\ SU]

arc\ SU=arc\ RU-42\°

arc\ SU=119\°-42\°=77\°

therefore

the answer is

The measure of the arc SU is 77\°

4 0
2 years ago
Read 2 more answers
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