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3 years ago

5

Squaring a number is multiplying it by itself. Finding a square root is dividing and trying to find the two numbers that will mu

ltiply to make your original number. PLEASE ANSWER SOON :(

2 answers:

olga nikolaevna [1]3 years ago

7 0

Yes that’s true this is indeed correct

GrogVix [38]3 years ago

4 0

This is correct. True.

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Consider xưy" – 14xy' + 56y = 0. Find all values of r such that y=x" satisfies the differential equation for x > 0. Enter as

beks73 [17]

I bet the ODE is supposed to read

$x^2y''-14xy'+56y=0$

Then if $y=x^r$ , we have $y'=rx^{r-1}$ and $y''=r(r-1)x^{r-2}$ , and substituting these into the ODE gives

$r(r-1)x^r-14rx^r+56x^r=0\implies r(r-1)-14r+56=r^2-15r+56=0$

Solving for <em>r</em>, we find

$r^2-15r+56=(r-8)(r-7)=0\implies \boxed{r=8\text{ or }r=7}$

so that $y_1=x^8$ and $y_2=x^7$ are two fundamental solutions to the ODE. Thus the general solution is

$\boxed{y(x)=C_1x^8+C_2x^7}$

Given that $y(1)=4$ and $y'(1)=3$ , we get

$\begin{cases}4=C_1+C_2\\3=8C_1+7C_2\end{cases}\implies C_1=-25\text{ and }C_2=29$

So the particular solution is

$\boxed{y(x)=29x^7-25x^8}$

4 0

4 years ago

HELP ME PLEASE!

shusha [124]

Answer:

Part A) The probability is closer to 0, because is less than 50%

Part B) The probability is closer to 1, because is greater than 50%

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

$P=\frac{x}{y}$

Part A) Is the probability of hitting the black circle inside the target closer to 0 or 1?

In this problem we have

x------> is the area of the black circle

y------> is the total area of the square target

<em>Find the area of black circle</em>

$r=3/2=1.5\ units$

$x=(3.14)(1.5)^{2} =7.065\ units^{2}$

<em>Find the total area of the square target</em>

$y=9^{2}=81\ units^{2}$

Find the probability

$P=\frac{7.065}{81}=0.0872$

Convert to percentage

$0.0872*100=8.72\%$

The probability is closer to 0, because is less than 50%

Part B) Is the probability of hitting the white portion of the target closer to 0 or 1?

In this problem we have

x------> is the area of the white portion of the target

y------> is the total area of the square target

<em>Find the area of the white portion</em>

The area is equal to the area of the square minus the area of the circle

$x=81-7.065=73.935\ units^{2}$

Find the probability

$P=\frac{73.935}{81}=0.9128$

Convert to percentage

$0.9128*100=91.28\%$

The probability is closer to 1, because is greater than 50%

4 0

3 years ago

A semicircle is attached to the side of a rectangle as shown.

katrin [286]

I think the answer is 43.8.

8 0

3 years ago

What is a equation that represents each mixed number as a sum of whole numbers and unit fractions for 4 1/4?

MrRa [10]

***4 1/2

<span>2 + 9/4

1 + 13/4

3 + 5/4

(2 1/2) + (1 3/4) or 5/2 + 7/4
<span>
(1 1/8) + (3 1/8) or 9/8 + 25/8
</span></span>

***1 5/6

<span>(1 1/6) + (2/3) or 7/6 + 2/3

(1 1/3) + (1/2) or 4/3 + 1/2

(1 1/2) + (1/3) or 3/2 + 1/3
<span>
(1 2/3) + (1/6) or 5/3 + 1/6

I hope my answer has come to your help. God bless and have a nice day ahead!
</span></span>

4 0

3 years ago

How do you count in grams

Ahat [919]

Here, hopefully this picture cane help

8 0

3 years ago