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2 years ago

59 POINTS!!!! Show all work and circle your final answer for credit.

Mathematics

1 answer:

devlian [24]2 years ago

8 0

Answer:

Exact Form:

$\frac{\sqrt{10} }{4}$

Decimal Form:

0.79056941

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Milo walks 40 meters in 15 seconds and Mira walks 30 meters in 10 seconds. Who's walking rate is faster?

mestny [16]

Mira is walking faster because her pace is faster than Milo

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3 years ago

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Rectangle JKLM is congruent to a 4 inch by 7 inch rectangle. How many different values are possible for the length

MissTica

I believe the answer to your question is three you have to be three usually always three

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3 years ago

INTELLIGENT STUDENT IN TRIG?.Ill give brainlest

faltersainse [42]

Answers:

x = 6

y = 6*sqrt(2)

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

Explanation:

To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios

tan(45) = 1

tan(angle) = opposite/adjacent

tan(45) = x/6

1 = x/6

6*1 = x

x = 6

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sin(45) = 1/sqrt(2)

sin(angle) = opposite/hypotenuse

sin(45) = 6/y

1/sqrt(2) = 6/y

1*y = sqrt(2)*6

y = 6*sqrt(2)

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3 years ago

A group of 10 kids got together at the playground to play basketball. Before the game, every

8_murik_8 [283]

I believe the answer is between 90-100.

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3 0

3 years ago

Consider the differential equation y'' − y' − 30y = 0. Verify that the functions e−5x and e6x form a fundamental set of solution

Alex Ar [27]

Answer:

Step-by-step explanation:

We have to take the derivatives for both functions and replace in the differential equation. Hence

for y=e^{-5x}:

$y(x)=e^{-5x}\\y'(x)=-5e^{-5x}\\y''(x)=25e^{-5x}\\$

for y=e^{6x}:

$y(x)=e^{6x}\\y'(x)=6e^{6x}\\y''(x)=36e^{6x}\\$

Now we replace in the differential equation y'' − y' − 30y = 0

for y=e^{-5x}:

$25e^{-5x}+5e^{-5x}-30e^{-5x}=0\\25+5-30=0$

for y=e^{6x}:

$36e^{6x}-6e^{6x}-30=0\\36-6+30=0$

Now, to know if both function are linearly independent we calculate the Wronskian

$W(f,g)=fg'-f'g$

$W(e^{-5x},e^{6x})=(e^{-5x})(6e^{6x})-(-5e^{-5x})(e^{6x})\neq 0$

I hope this is useful for you

Best regard

7 0

3 years ago