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Misha Larkins [42]
3 years ago
9

John wanted to estimate the product of 5.2 and 6.7. What is the best estimate for his problem?

Mathematics
2 answers:
NNADVOKAT [17]3 years ago
8 0
Round 5.2 down to 5 and Round 6.7 to 7.
5+7=12
Black_prince [1.1K]3 years ago
3 0
The product of 5.2 and 6.7

5.2 rounds to 5
6.7 rounds to 7

so the estimate is : 5 * 7 = 35 <===
the actual is : 5.2 * 6.7 = 34.84
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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If
attashe74 [19]

Answer:

t=7.85 years

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

\frac{dP}{dt}=aP

Where a is proportional constant, P the population variable, and t the time.

\frac{dP}{P}=adt

Integrating each side of the equation.

\int \frac{dP}{P}=\int adt

ln(P)=at+c

P=e^{at+c}

P=e^{c}e^{at}=Ce^{at}

To find C we need to use the initial condiction, it means evaluae P at t=0.

P_{0}=Ce^{0}=C

P=P_{0}e^{at}

Now, we use the sentence  the population has doubled in 5 years.

2P_{0}=P_{0}e^{a5}

We can find "a" in this condition.

2=e^{a5}

ln(2)=a5

a=\frac{ln(2)}{5}

a=0.14

Finally, let's find how long will it take to triple.

3P_{0}=P_{0}e^{0.14t}

3=e^{0.14t}

t=\frac{ln(3)}{0.14}

t=7.85 years

I hope it helps you!

4 0
2 years ago
Correct expression for 10 decreased by 3x
liberstina [14]

Answer:

10 - 3x

Step-by-step explanation:

Since the number 10 is decreased by 3x, that would mean the expression is 10 - 3x.

Hope this helped!

5 0
2 years ago
Read 2 more answers
What is the slope of the line? 2 x − 5 y = 9
Alex777 [14]

Answer:

The slope of this line is -2

Step-by-step explanation:

2x - 5y  =9

-5y = -2x + 9 (Subtract 2x from each side)

y= -2x + 14 (add 5 to each side)

-2 is the slope

4 0
3 years ago
Read 2 more answers
Help plz!
julia-pushkina [17]
She uses four pounds because 4/5 of five pounds is four.
4 0
3 years ago
An electric company charges a certain rate per kilowatt-hour (\text{kWh})(kWh)left parenthesis, start text, k, W, h, end text, r
Studentka2010 [4]

Step-by-step explanation:

The equation is given by :

63.25=800r+3.50

Here,

63.25 is the electric company charges

3.5 is an administrative fee

800 is charge per kilowatt hours

r is rate per kilowatt hour

In this proble, we need to tell that what does r represents. Hence, r shows kilowatt per hour.

We can solve it as follows :

63.25-3.5=800r+3.50-3.50 (Subtracting 3.50 to the both sides)

59.75=800r

r=\dfrac{59.75}{800}\\\\r=0.0746

8 0
3 years ago
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