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2 years ago

Kevin gates flew at 18 miles per hour for 3 hours. Then at 15 miles per hour for 2 hours. How far did kevin gates fly in all?

Mathematics

1 answer:

mr_godi [17]2 years ago

3 0

Do 18 times 3 and 15 times 2 then add the 2 answers

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Find the distance between each pair of parallel line<br>y=x-6 and y=x+8

myrzilka [38]

Both these lines are linear and have the same slope, just different y-intercepts. This means one line is shifted higher than the other. y=x+8 is 14 units higher than y=x-6. The answer to you question therefore is 14 units!

5 0

2 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

A computer store bought a program at a cost of $40 and sold it at a selling price of $32.5. Find the percent markdown (Rounded

nikklg [1K]

Answer:

answer is 18.76 percent.

Step-by-step explanation:

CP= $40

SP= $32.5

Markdown percent=?

now,

markdown %= CP-Sp/CP×100%

=7.5/40×100%

=750/40

=18.75%

4 0

2 years ago

Read 2 more answers

Can anybody help me find what 11x-21=

vfiekz [6]

Piggly wiggly farting piggly wiggly pooping

7 0

1 year ago

Nelson decides to invest $1,000,000 in a period annuity that earns 4.8% APR

Lyrx [107]

Answer:

<h2> 21years</h2>

Step-by-step explanation:

Amount invested by Nelson = $1,000,000

Interest rate per month = 4.8%

Simple Interest = Principal * Rate * Time/100

simple Interest = $1,000,000 * 4.8 *(1/12)/100

simple Interest = $1,000,000 * 4.8/1200

simple interest = $4,000/ month

Simple interest for one year = $4,000*12 = $48,000

In order to determine the number of years it will take Nelson to earn back his initial investment, we will divide its initial investment by the interest earned on the investment yearly as shown;

amount of years = $1,000,000/ $48,000

Amount of years = 20.8years ≈ 21years

6 0

2 years ago