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2 years ago

What frequency does 125/232 represent

Mathematics

2 answers:

dedylja [7]2 years ago

6 0

Uh thinking itz -66/100

Stels [109]2 years ago

3 0

The image is down.

Hope this helps:D!!!!!!

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. Solve the following initial value problem: (t2−20t+51)dydt=y (t2−20t+51)dydt=y with y(10)=1y(10)=1. (Find yy as a function of

Semenov [28]

Answer:

$y=(\frac{t-17}{t-3})^{\frac{1}{14}}$

Step-by-step explanation:

We are given that initial value problem

$t^2-20t+51)\frac{dy}{dt}=y$

$\frac{dy}{y}=\frac{dt}{t^2-20t+51}$

$\frac{dy}{y}=\frac{dt}{t^2-3t-17t+51}$

$\frac{dy}{y}=\frac{dt}{(t(t-3)-17(t-3)}$

$\frac{dy}{y}=\frac{dt}{(t-3)(t-17)}$

$\frac{1}{(t-3)(t-17)}=\frac{A}{t-3}+\frac{B}{t-17}$

$\frac{1}{(t-3)(t-17)}=\frac{A(t-17)+B(t-3)}{(t-3)(t-17)}$

$1=A(t-17)+B(t-3)$ ...(1)

Substitute t-3=0

t=3

t-17=0

t=17

Substitute t=3 in equation (1)

$1=A(3-17)+0$

$1=-14A$

$A=-\frac{1}{14}$

Substitute t=17

$1=B(17-3)$

$1=14B$

$B=\frac{1}{14}$

Substitute the values of A and B

$\frac{1}{(t-3)(t-17)}=-\frac{1}{14}(\frac{1}{t-3})+\frac{1}{14}(\frac{1}{t-17})$

$\int\frac{dy}{y}=-\frac{1}{14}\int\frac{dt}{t-3}+\frac{1}{14}\int\frac{dt}{t-17}$

$ln y=-\frac{1}{14}ln\mid{t-3}\mid+\frac{1}{14}\mid{t-17}\mid+ln C$

By using formula: $\frac{dx}{x}=ln x+C$

$ln y=\frac{1}{14}(-ln\mid{t-3}\mid+ln\mid{t-17}\mid)+ln C$

Using formula: $ln x-ln y=ln \frac{x}{y}$

$ln y=\frac{1}{14}(ln\mid{\frac{t-17}{t-3}}\mid)+ln C$

$ln y=\frac{1}{14}ln\mid{\frac{t-17}{t-3}}\mid+ ln C$

Substitute y(10)=1

$ln 1=\frac{1}{14}ln\mid\frac{10-17}{10-3}\mid+ln C$

$0=0+ln C$

Because ln 1=0

$lnC=0$

$C=e^0=1$

Because $ln x=y\implies x=e^y$

Substitute the value of C

$ln y=\frac{1}{14}ln\mid\frac{t-17}{t-3}\mid+ln1$

$ln y=\frac{1}{14}ln\mid\frac{t-17}{t-3}\mid+0$

$ln y=\frac{1}{14}ln\mid\frac{t-17}{t-3}\mid$

$14ln y=ln\mid\frac{t-17}{t-3}\mid$

$lny^{14}=ln\mid\frac{t-17}{t-3}\mid$

By using identity $blog a= loga^b$

$y^{14}=\frac{t-17}{t-3}$

$y=(\frac{t-17}{t-3})^{\frac{1}{14}}$

6 0

2 years ago

two computers can print out a task in 26 minutes and 78 minutes, respectively. How long will it take to complete the task with b

kari74 [83]

78 minutes cause they are not working when one finishes, if they were doing that the it would take 1 hour and 44 minutes, hope this helps :)

4 0

2 years ago

Henry constructed circle A with a radius of 4 units. He then created a sector as shown in the figure below. Which of the followi

Ksivusya [100]

Answer: option D is the correct answer

Step-by-step explanation:

The shaded portion of the circle is the smaller sector whose radius is the same as the radius of the circle which is given as 4 units. The sector is always bounded by two radii with a common point which is the center of the circle and forming an angle at that point. The given sector forms an angle of 45 degrees.

Area of a sector is expressed as

#/360 × π × r^2 and # is in degrees

Therefore, area of the shaded portion or sector = 45/360 × π × 4^2

= 45/360 × 16π

= 45/360 (16π)

4 0

2 years ago

A used car dealer has 30 cars and 10 of them are lemons (i.e.~ mechanically faulty used cars), and you don't know which is which

Triss [41]

Answer: Hence, the probability that he will get at least one lemon is 0.70.

Step-by-step explanation:

Since we have given that

Number of cars = 30

Number of lemon cars = 10

Number of other than lemon cars = 30-10 = 20

According to question, he bought 3 cars,

we need to find the probability that you will get at least one lemon.

So, P(X≤1)=1-P(X=0)=1-P(no lemon)

Here, P(no lemon ) is given by

$\dfrac{20}{30}\times \dfrac{20}{30}\times \dfrac{20}{30}=(\dfrac{20}{30})^3$

so, it becomes,

$P(X\geq 1)=1-(\dfrac{20}{30})^3=1-(0.67)^3=0.70$

Hence, the probability that he will get at least one lemon is 0.70.

5 0

1 year ago

If y + 3y + 5y = -18, then what is the value of y?

kvasek [131]

Answer:

y=-2

Step-by-step explanation:

In order to find out the value of y, we have to isolate the y. In order to do that, we first have to combine all like terms and we do that by adding the numbers with variables together.

1y+3y+5y=9y

9y=-18

Now we have to get the y by itself so we divide 9 on both sides of the equation because once we do that, we can cancel out the 9.

9/9=1 -18/9=-2

So the answer is y=-2.

3 0

2 years ago

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