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3 years ago

i need this answer asap (as soon as possible) i spelled it so the ones who dont know what asap means:/

Mathematics

1 answer:

sineoko [7]3 years ago

3 0

Answer:

3 root 2, a

Step-by-step explanation:

goodluck on your test

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What value of x makes this equation true? x/3 −6=10

Setler [38]

Answer:

Step-by-step explanation:

x/3 - 6 = 10

+6 +6

x/3=16

16*3=48

5 0

3 years ago

Help please!! Step by step!!

GarryVolchara [31]

Answer:

$P(Ice Cream|Frogtown) = 67.4\%$

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

$P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}$

From the attachment;

$P(Ice\ Cream\ n\ Frogtown) = 0.31$

$P(Frogtown) = 0.31 + 0.15 = 0.46$

So, we have:

$P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}$

$P(Ice Cream|Frogtown) = \frac{0.31}{0.46}$

$P(Ice Cream|Frogtown) = 0.6739$

Express as percentage

$P(Ice Cream|Frogtown) = 0.6739 * 100\%$

$P(Ice Cream|Frogtown) = 67.39\%$

$P(Ice Cream|Frogtown) = 67.4\%$ -- approximated

5 0

3 years ago

Consider the initial value problem yâ€²+2y=4t,y(0)=8.

Xelga [282]

Answer:

Please read the complete procedure below:

Step-by-step explanation:

You have the following initial value problem:

$y'+2y=4t\\\\y(0)=8$

a) The algebraic equation obtain by using the Laplace transform is:

$L[y']+2L[y]=4L[t]\\\\L[y']=sY(s)-y(0)\ \ \ \ (1)\\\\L[t]=\frac{1}{s^2}\ \ \ \ \ (2)\\\\$

next, you replace (1) and (2):

$sY(s)-y(0)+2Y(s)=\frac{4}{s^2}\\\\sY(s)+2Y(s)-8=\frac{4}{s^2}$ (this is the algebraic equation)

$sY(s)+2Y(s)-8=\frac{4}{s^2}\\\\Y(s)[s+2]=\frac{4}{s^2}+8\\\\Y(s)=\frac{4+8s^2}{s^2(s+2)}$ (this is the solution for Y(s))

$y(t)=L^{-1}Y(s)=L^{-1}[\frac{4}{s^2(s+2)}+\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+L^{-1}[\frac{8}{s+2}]\\\\=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}$

To find the inverse Laplace transform of the first term you use partial fractions:

$\frac{4}{s^2(s+2)}=\frac{-s+2}{s^2}+\frac{1}{s+2}\\\\=(\frac{-1}{s}+\frac{2}{s^2})+\frac{1}{s+2}$

Thus, you have:

$y(t)=L^{-1}[\frac{4}{s^2(s+2)}]+8e^{-2t}\\\\y(t)=L^{-1}[\frac{-1}{s}+\frac{2}{s^2}]+L^{-1}[\frac{1}{s+2}]+8e^{-2t}\\\\y(t)=-1+2t+e^{-2t}+8e^{-2t}=-1+2t+9e^{-2t}$

(this is the solution to the differential equation)

5 0

3 years ago

The measure of an angle is 12° less than twice the measure of its supplement. What is the measure of the angle?

kupik [55]

Here is the equation you should use: x + 2x - 12 = 180
You will be solving for x.

Combine like terms then add twelve to both sides of the equation.

3x = 192

Divide by 3 on both sides of the equation.

x = 64

Now, plug 64 in the equation for x.

2(64) - 12 = 116

8 0

2 years ago

A square garden has trees 30m,50m and 40m at three successive corners.What is the area of the land ?

Masteriza [31]

15m because if we add all of the you will get 12 but atleast you need some for backyard

8 0

2 years ago

Read 3 more answers