All categories

3 years ago

May I please receive help?

Mathematics

1 answer:

liq [111]3 years ago

3 0

Answer:

Circumference: 12.56 yd
Area: 12.56 yd²

Step-by-step explanation:

The circumference is given by ...

C = πd

C = (3.14)(4 yd) = 12.56 yd

The area is given in terms of diameter by ...

A = (π/4)d²

A = (3.14/4)(4 yd)² = 12.56 yd²

You might be interested in

Find the general solution of the nonhomogeneous differential equation x^2y''-2y=3(x^2) -1, (x>0).

Ira Lisetskai [31]

Answer:

G.S= $C_1\frac{1}{x}+C_2x^2+x^2logx+\frac{1}{2}$

Step-by-step explanation:

We are given that non-homogeneous differential equation

$x^2y''-2y=3(x^2)-1$

It is Cauchy Euler equation

Substitute x=e^t x>0

Auxillary equation

$D'(D'-1)-2=0$

$D'^2-D'-2=0$

$(D'-2)(D'+1)=0$

$D'-2=0 \implies D'=2$

$D'+1=0\implies D'=-1$

Complementary solution

$y=C_1e^{-t}+C_2e^{2t}$

$y=C_1\frac{1}{x}+C_2x^2$

Particular solution

$y_p=\frac{3e^{2t}}{D'^2-D'-2}-\frac{e^{0t}}{D'^2-D'-2}$

$y_p=te^{2t}+\frac{1}{2}=x^2logx+\frac{1}{2}$

G.S= $C_1\frac{1}{x}+C_2x^2+x^2logx+\frac{1}{2}$

Hence, general solution G.S= $C_1\frac{1}{x}+C_2x^2+x^2logx+\frac{1}{2}$

6 0

4 years ago

John placed $2,000 in a savings account which compounds interest annually at a rate of 4.3%. How much will he have in the accoun

Semenov [28]

Answer:

The amount of money he has in the account after 3 years:

A = Money x (1 + rate)^year

= 2000 x (1 + 4.3/100)^3

=2269.3 dollar

Hope this helps!

6 0

3 years ago

Read 2 more answers

Pleas help me and thank you

aleksklad [387]

It is the second one down

6 0

3 years ago

Read 2 more answers

Anyone know this one??

egoroff_w [7]

I’d say option 3
Good luck!

8 0

3 years ago

Which of the following are solutions to | x+3= 4x - 7? Check all that apply.

Arturiano [62]

Answer: B.x=10/3

Step-by-step explanation: x+3-4x=4x-7-4x −3x+3−3=−7−3 −3x/−3=−10/−3 x=10/3

5 0

3 years ago