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anastassius [24]
3 years ago
13

III

Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer:

120km/h

600km in 5 hours.

Step-by-step explanation:

1000 meters is equal to 1 kilometer. 1 meter is equal to .001 kilometer.

You can set up an equation like this to solve for the car's rate in kilometers.

\frac{1 km}{1000 m} = \frac{x km}{35m}  or  \frac{1000 m}{1000 km} = \frac{x m}{35km}.

Now crossmultiply either fraction to solve for x.

\frac{1 km}{1000 m} = \frac{x km}{35m}\\\frac{1 km}{1000 m}*35 = \frac{x km}{35m}*35\\\frac{35 km}{1000 m} = xkm

The car is going at .035km/sec. Now we need to multiply this to get kilometers per hour. There are 60 seconds in a minute and there are 60 minutes in a hour.

\frac{35}{1000} * 60 * 60

The car travels at 120km per hour.

Since we now know the rate in kilometers per hour. We can multiply the rate by 5 since the question asks how many kilometers the car will travel in 5 hours.

120 * 5 = 600

The car will travel 600km in 5 hours.

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What is the solution to y + 8.5 = 17.2?
Flura [38]

Answer:

y =8.7

Step-by-step explanation:

y + 8.5 = 17.2

Subtract 8.5 from each side

y +8.5-8.5 = 17.2 -8.5

y =8.7


8 0
3 years ago
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Solve for X and then pick a answer at the bottom. This is basically angles in transversal if I'm correct.
Sonbull [250]
The correct answer would be c but im not sure im really right

5 0
3 years ago
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World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha
dezoksy [38]

Answer:

A) P(t)=77.2\cdot e^{0.016t}

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form y=a\cdot e^{kx}, where,

a = Initial value,

k = Growth rate in decimal form.

1.6\%=\frac{1.6}{100}=0.016

Upon substituting our given values, we will get:

P(t)=77.2\cdot e^{0.016t}

Therefore, our required function would be P(t)=77.2\cdot e^{0.016t}, where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute t=2013-2004=9 in above formula as:

P(9)=77.2\cdot e^{0.016(9)}

P(9)=77.2\cdot e^{0.144}

P(9)=77.2\cdot 1.1548841085249135

P(9)=89.1570531781\approx 89.157

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

95=77.2\cdot e^{0.016t}

Divide both sides by 77.2:

1.2305699481865285=e^{0.016t}

Take natural log of both sides:

\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})

\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)

0.20747743456981035=0.016t*1

Divide both sides by 0.016:

t=12.9673396606

t\approx 13

Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.

4 0
3 years ago
Help me get this:<br>Y=3x+C<br>​
Sedbober [7]

Hi there!

~

Y = 3x + c

Simplifying

Y = 3x + c

Reorder the terms:

Y = c + 3x

Solving

Y = c + 3x

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Simplifying

Y = c + 3x

Hope this helped you!

4 0
3 years ago
How do I do #5? I don’t really get it
vichka [17]

Answer:

H=20

Step-by-step explanation:

Its asking what times 1.2 equals 24

1.2 times 20 equals 24

3 0
3 years ago
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