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3 years ago

Estimate 14.75 divided by 2.85 by using compatible numbers.

Mathematics

1 answer:

otez555 [7]3 years ago

4 0

To be honest the correct answer would be just 5 because of estimation
so it would be 5.1754386 circle the 5 underline the 1 and Badda bing Badda boom because if something is bigger than 5 you round up one if its lower than leave your beautiful number

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shawn has two fields on his farm. he plants two types of corn. each field has 60 rows of cornstalks. type a grows better so ther

WINSTONCH [101]

Type a= 8x60

=480

b=3x60

=180

6 0

3 years ago

Evaluate this function at x = 2: f(x)= 3x + 20 *

trasher [3.6K]

Answer:

Step-by-step explanation:

Fitst, you substitute

f(2) = 3(2) + 20

f(2) = 6 + 20

f(2) = 26

your answer is 26

5 0

2 years ago

Read 2 more answers

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integ

atroni [7]

Answer: $y=Ce^(^3^t^{^9}^)$

Step-by-step explanation:

Beginning with the first differential equation:

$\frac{dy}{dt} =27t^8y$

This differential equation is denoted as a separable differential equation due to us having the ability to separate the variables. Divide both sides by 'y' to get:

$\frac{1}{y} \frac{dy}{dt} =27t^8$

Multiply both sides by 'dt' to get:

$\frac{1}{y}dy =27t^8dt$

Integrate both sides. Both sides will produce an integration constant, but I will merge them together into a single integration constant on the right side:

$\int\limits {\frac{1}{y} } \, dy=\int\limits {27t^8} \, dt$

$ln(y)=27(\frac{1}{9} t^9)+C$

$ln(y)=3t^9+C$

We want to cancel the natural log in order to isolate our function 'y'. We can do this by using 'e' since it is the inverse of the natural log:

$e^l^n^(^y^)=e^(^3^t^{^9} ^+^C^)$

$y=e^(^3^t^{^9} ^+^C^)$

We can take out the 'C' of the exponential using a rule of exponents. Addition in an exponent can be broken up into a product of their bases:

$y=e^(^3^t^{^9}^)e^C$

The term e^C is just another constant, so with impunity, I can absorb everything into a single constant:

$y=Ce^(^3^t^{^9}^)$

To check the answer by differentiation, you require the chain rule. Differentiating an exponential gives back the exponential, but you must multiply by the derivative of the inside. We get:

$\frac{d}{dx} (y)=\frac{d}{dx}(Ce^(^3^t^{^9}^))$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*\frac{d}{dx}(3t^9)$

$\frac{dy}{dx} =(Ce^(^3^t^{^9}^))*27t^8$

Now check if the derivative equals the right side of the original differential equation:

$(Ce^(^3^t^{^9}^))*27t^8=27t^8*y(t)$

$Ce^(^3^t^{^9}^)*27t^8=27t^8*Ce^(^3^t^{^9}^)$

QED

I unfortunately do not have enough room for your second question. It is the exact same type of differential equation as the one solved above. The only difference is the fractional exponent, which would make the problem slightly more involved. If you ask your second question again on a different problem, I'd be glad to help you solve it.

7 0

2 years ago

kallie has a pottery business to make a certain piece she spends 3.68 on materials and 6.52 on labor. she then sells the pottery

Mrac [35]

Answer:

3/5 + 7/10 = 6/10 + 7/10 = 13/10 = 1 and 3/10 lbs. needed

She has 4/5 *3/1 bags = 12/5 = 2 and 2/5 pounds

2 2/5 - 1 3/10 = 2 4/10 - 1 3/10 = 1 and 1/10 pounds left over

7 0

3 years ago

According to the line plot, what is the total distance run for all of the runners combined?

Ostrovityanka [42]

Answer:

Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles

Step-by-step explanation:

1/5 + 2(1/4) + 4(1/3) + 3(1/2)

3 0

2 years ago