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3 years ago

3.) In gym class, Antonio ran 384 decimeters on Monday an 321 decimeters

Mathematics

2 answers:

Elodia [21]3 years ago

6 0

Answer:

The answer in meters is 6.3 meters

docker41 [41]3 years ago

4 0

Answer:

6.3 meters.

Step-by-step explanation:

10 decimetres equals one meter.

384-321=63

63 converted to meters is 6.3 meters.

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What is the result when the number 15 is increased by 20%

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Answer:

Step-by-step explanation:

15 divided by .20 = 75

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4 years ago

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

tensa zangetsu [6.8K]

Answer:

$y=3t^9+C$

Step-by-step explanation:

Given: $\dfrac{dy}{dt}=27t^8$

We want to obtain the general solution of the given differential equation.

$dy=27t^8$ dt\\$Take the integral of both sides\\\int dy =\int 27t^8$ dt$\\y=\dfrac{27t^{8+1}}{8+1} +C$, (where C is the constant of integration)$\\y=\dfrac{27t^{9}}{9} +C\\\\y=3t^9+C$

The general solution of the differential equation is: $y=3t^9+C$

CHECK:

$\dfrac{d}{dt} y=\dfrac{d}{dt}(3t^9+C)=\dfrac{d}{dt}(3t^9)+\dfrac{d}{dt}(C)\\\\\text{Since derivative of a constant is zero}\\\\\dfrac{dy}{dt}=27t^{9-1}\\\dfrac{dy}{dt}=27t^8$

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3 years ago

What is the equation of the following graph in vertex form? PLEASE HELP ME!

viktelen [127]

Answer: Choice B

y = (x+3)^2 - 1

==================================================

Recall that vertex form is y = a(x-h)^2 + k with the vertex being (h,k)

From the given graph, it shows that (h,k) = (-3,1) is the vertex. So we plug this pair of values into the general function above to get

y = a(x-h)^2 + k

y = 1(x-(-3))^2 + (-1)

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note: a = 1 is the case for all four answer choices, so we don't have to worry about the value of 'a'

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3 years ago

Two numbers are in the ratio 9:2. If the

ArbitrLikvidat [17]

Answer:

Large number from two numbers = 1,440

Step-by-step explanation:

Given:

Ratio of two numbers = 9 : 2

Smaller number from two numbers = 320

Find:

Large number from two numbers

Computation:

Large number from two numbers / Smaller number from two numbers = Ratio of two numbers

Large number from two numbers / 320 = 9 / 2

Large number from two numbers = 2,880 / 2

Large number from two numbers = 1,440

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3 years ago