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neonofarm [45]
3 years ago
5

johns popcorn sales vary directly with the time he spend selling. If John made $2300 of popcorn salee.s over 2 years,find the am

ount he would make after 9 years. Write a direct variation equation and solve.
Mathematics
1 answer:
solong [7]3 years ago
4 0
<span>"f (x) is o(g(x))" to show that 2x + 17 is o(3x ). </span>
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What is the simplified expression for 3^3•3^3 divided by 3^4<br> 3^0<br> 3^1<br> 3^2<br> 3^4
Alex17521 [72]

Answer:

3^2

Step-by-step explanation:

When multiplying, add the powers.

When dividing, minus the powers

3^3 * 3^3 / 3^4 = 3^(3 + 3 - 4) = 3^2

7 0
4 years ago
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page
Kazeer [188]

Answer:

31.3 minutes were spent reading

Step-by-step explanation:

If it takes 1.2 minutes to read each page for science and you read 9.75 pages of science, then you must multiply these two numbers together

9.75 pages × 1.2 mins = 11.7

If it takes 0.8 of a minute to read each page of the play and you read 24.5 pages of a play, then you also multiplying these two numbers

24.5 pages × 0.8 mins = 19.6

If we must find out the time spent reading, we must add these two numbers together

11.7 + 19.6 = 31.3

7 0
3 years ago
Read 2 more answers
Jese hangs 3 t shirt on a line. any t shirt next to each other share a peg. he uses 4 pegs. how may peg jess use to hang 6 t shi
Ivenika [448]
He will use 7 pegs in total to hang 6 t shirts in line

7 0
4 years ago
It takes Mark 1 hour to get to work each day. Mark drives from home 20 minutes to the train station at a constant rate of 42 mph
9966 [12]

Answer:D.54

Step-by-step explanation: it takes 20 minutes in the car which is 1/3 of an hr so 42/3= 14 then that leaves 40 minutes left for the train which is 2/3 of 60 and 60/3=20 and 20x2= 40 so 40+14=54

7 0
3 years ago
Read 2 more answers
In problem solve the given differential equation by underdetermined coefficients y''-2y+y=xe^x
Alexus [3.1K]

Answer:

Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

Step-by-step explanation:

Given Differential Equation,

y"-2y'+y=xe^x ...............(1)

We need to solve the given differential equations using undetermined coefficients.

Let the solution of the given differential equation is made up of two parts. one complimentary solution and one is particular solution.

\implies\:y(x)=y_c(x)+y_p(x)

For Complimentary solution,

Auxiliary equation is as follows

m² - 2m + 1 = 0

( m - 1 )² = 0

m = 1 , 1

So,

y_c(x)=C_1e^x+c_2xe^x

Now for particular solution,

let y_p(x)=Ax^3e^x

y'=Ax^3e^x+3Ax^2e^x

y"=Ax^3e^x+6Ax^2e^x+6Axe^x

Now putting these values in (1), we get

Ax^3e^x+6Ae^2e^x+6Axe^x-2(Ax^3e^x+3Ax^2e^x)+Ax^3e^x=xe^x

Ax^3e^x+6Ae^2e^x+6Axe^x-2Ax^3e^x-6Ax^2e^x+Ax^3e^x=xe^x

6Axe^x=xe^x

6A=1

A=\frac{1}{6}

\implies\:y_p(x)=\frac{x^3e^x}{6}

Therefore, Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

8 0
4 years ago
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