Of the following numbers: 36, 56, 78, 98, 100, 1,000, 5,000, 10,000, 100,000, 500,000; what is the range.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

6 0

Answer:

the is x 10

Step-by-step explanation:

You might be interested in

4x + 3y = −6<br> 6x + 3y = −6

Lena [83]

Answer:

no solution

Step-by-step explanation:

If first equation is divided by 2 and the second equation is divided by 3, we get two equations 2x+y=3 and 2x+y= 4. These two lines are parallel and there cannot be any solution to the system

8 0

3 years ago

A school dance committee is made up of 2 freshman, 6 sophomores, 3 juniors, and 2 seniors.

wlad13 [49]

Answer:you put the differnet people in grades together like one grade goes first then the other then the other

Step-by-step explanation:

7 0

3 years ago

Solve y'' + 10y' + 25y = 0, y(0) = -2, y'(0) = 11 y(t) = Preview

svetlana [45]

Answer: The required solution is

$y=(-2+t)e^{-5t}.$

Step-by-step explanation: We are given to solve the following differential equation :

$y^{\prime\prime}+10y^\prime+25y=0,~~~~~~~y(0)=-2,~~y^\prime(0)=11~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Let us consider that

$y=e^{mt}$ be an auxiliary solution of equation (i).

Then, we have

$y^prime=me^{mt},~~~~~y^{\prime\prime}=m^2e^{mt}.$

Substituting these values in equation (i), we get

$m^2e^{mt}+10me^{mt}+25e^{mt}=0\\\\\Rightarrow (m^2+10y+25)e^{mt}=0\\\\\Rightarrow m^2+10m+25=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }e^{mt}\neq0]\\\\\Rightarrow m^2+2\times m\times5+5^2=0\\\\\Rightarrow (m+5)^2=0\\\\\Rightarrow m=-5,-5.$

So, the general solution of the given equation is

$y(t)=(A+Bt)e^{-5t}.$

Differentiating with respect to t, we get

$y^\prime(t)=-5e^{-5t}(A+Bt)+Be^{-5t}.$

According to the given conditions, we have

$y(0)=-2\\\\\Rightarrow A=-2$

and

$y^\prime(0)=11\\\\\Rightarrow -5(A+B\times0)+B=11\\\\\Rightarrow -5A+B=11\\\\\Rightarrow (-5)\times(-2)+B=11\\\\\Rightarrow 10+B=11\\\\\Rightarrow B=11-10\\\\\Rightarrow B=1.$