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3 years ago

8

Rene is going to the lake to visit some friends. If the lake is 60 miles away, and Rene is driving at 40 miles per hour the enti

re time, how long will it take her to get to the lake?.

1 answer:

Tpy6a [65]3 years ago

6 0

One hour and twenty minutes????

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In the following expression which terms can be combined?

joja [24]

the answer is none of the above because the variable cant be combined and 56 cant either.

7 0

3 years ago

Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y

Charra [1.4K]

I assume you mean $y_1=t^{-1}$ , and not $y_1=t-1$ , since this doesn't satisfy the ODE.

Assume a second solution of the form $y_2=vy_1$ , where $v$ is a function of $t$ . Then

${y_2}'=v'y_1+v{y_1}'$

${y_2}''=v''y_1+2v'{y_1}'+v{y_1}''$

Substituting into the ODE gives

$t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0$

$\implies tv''+v'=0$

$\implies(tv')'=0$

$\implies tv'=C$

$\implies v'=\dfrac Ct$

$\implies v=C_1\ln|t|+C_2$

$\implies y_2=\dfrac{\ln t}t$

where we omit the second term because it's already accounted for by $y_1$ .

3 0

3 years ago

A $1,500 loan has an annual interest rate of 4 1/2 on the amount borrowed.how much time has elapsed if the interest is now $127.

Vadim26 [7]

Probably none of them except 156.

6 0

3 years ago

Oscar has $1.00 in quarters and dimes. He has 7 coins altogether. How many coins of each kind does he have?

tigry1 [53]

Answer:

2 quarters and 5 dimes

Step-by-step explanation:

6 0

3 years ago

In circle O, AD and BE are diameters. What is MAE?

liraira [26]

Answer:

132°

Step-by-step explanation:

∠AOB = ∠EOD = 3x ( vertical angles )

∠AOB + ∠BOC = 90, that is

3x + 0.5x + 34 = 90

3.5x + 34 = 90 ( subtract 34 from both sides )

3.5x = 56 ( divide both sides by 3.5 )

x = 16

∠AOE + ∠EOD = 180 ( straight angle )

∠AOE + 3x = 180

∠AOE + (3 × 16) = 180

∠AOE + 48 = 180 ( subtract 48 from both sides )

∠AOE = 132°

5 0

3 years ago

Read 2 more answers