It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:

Answer:

(4 , -3)

Step-by-step explanation:

Put "y" by itself on one side to isolate it

3x - y = 15

3x = 15 + y

3x - 15 = y

Substitute "y" in the second equation for "3x - 15"

x + (3x - 15) = 1

4x - 15 = 1

4x = 16

x = 4

Then, plug 4 into x in any of the equations

4 + y = 1

y = -3

(4 , -3)

Answer:

13

Step-by-step explanation:

divide 4x by 4 making it x divide 52 by 4 making it

x=13

Answer:

13

Step-by-step explanation:

Answer:

$3

Step-by-step explanation:

You divide 6 by 2

the answer is 16.77

fdmlksafndslakgfnlksdaajglsdanlkfsdalkfsad

If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0

then the answer is; 2ln(x + 3) = 0

ln[(x + 3)²] = 0      

(x + 3)² = 1

x + 3 = ±√1

x + 3 = ±1

x = 1 - 3, -1 - 3

x = -2, -1 - 3

x = -2, -4

when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.

therefore;

x = -2

hope this helps, God bless!

Answer:

c

Step-by-step explanation:

Answer:

the correct answer is

4i^2 +6i +21

The solution of this system of linear equations is (3,13)

The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.

Given here:  x−2y=−7 & 3x+2y=3

Thus solving these two equations we get -8y=-24 or y=3

Therefore x=13

Hence, The solution of this system of linear equations is (3,13)

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Answer:

it's answer is C. .80

Step-by-step explanation:

With reference angle A

base (b) = 8

Hypotenuse (h) = 10

Now

Cosine A

= b / h

= 8 / 10

= 0.8

It is A as the answer

Step-by-step explanation:

1.multiply 8×10

2.multiply 80 ×6

3.the answer will be over 100 so it has to be A

Answer:

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 69, \sigma = 6[/tex]

What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall?

This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 68. So

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 69}{6}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a pvalue of 0.5675

X = 68

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68 - 69}{6}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

0.5675 - 0.4325 = 0.1350

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

Answer:Umm you can do ratios if you learned it or you can times it

Step-by-step explanation:

Hope this helps

Answer:

Not cool

Step-by-step explanation:

Answer:

7 hours

Step-by-step explanation:

Answer:

s=vt

t=s/v=315/45=7hours

9514 1404 393

Answer:

  y = 7

Step-by-step explanation:

Opposite sides are the same length:

  LM = NO

  2y -9 = y -2

  y = 7 . . . . . . . add 9-y to both sides

Answer:

C

Step-by-step explanation:

Wolid like

Answer:

7 is the coefficient of 7y

Step-by-step explanation:

explanation in the text book pls refer TB

Answer:

7

Step-by-step explanation:

Sience the 7 is the number multiplied by the variable y, 7 is the coefficient.

7 is the coefficient

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer: 127.23 in. ^2

Step-by-step explanation: if the radious is 9 with is half of 18in that area of a whole cicle would be 254.47in. so just divide by 2

Answer:

Solution: x= -36, y=51

Step-by-step explanation:

Solve the system:

  x +   y = 15

-5x - 3y = 27

By using the reduction method.

Multiply the first equation by 3:

 3x + 3y = 45

Add it to the second equation:

3x - 5x = 45 + 27

Simplifying:

-2x = 72

Dividing by -2:

x = 72/(-2)

x = -36

From the first equation:

-36 + y = 15

Adding 36:

y = 15 + 36 = 51

y = 51

Solution: x= -36, y=51

Answer: 12x−18

If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

140

Step-by-step explanation:

25 x4=100 subtract to the total which is 240 and get 140

Answer:

140

Step-by-step explanation:

Plug 4 into w, so it's C = 240 - 25(4) -> 240 -100 -> C = 140

Answer:

111

Step-by-step explanation:

the answer is 111

Answer:

A.

Step-by-step explanation:

Answer:

A line parallel to line AB through C & arc IJ and draw an arc centered at K intersecting the second arc

Step-by-step explanation:

This image may result from the construction of a line parallel to line AB through C.

The next step in this construction is to set the compass width to arc IJ and draw an arc centered at K intersecting the second arc.

Geometric constructions are precise drawings of geometrical shapes, angles, and lines. We will need a pencil, a ruler (or other straight edge), and compasses to do this.

Given:

From the image we can see that there is an attempt to make a copy of angle and proceeds to draw a parallel line.

So, This image may result from the construction of a line parallel to line AB through C.

Now, the next step can be measure the arc IJ from compass and put the pointer on K with same measurement and cut the Arc.

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Answer:

128.

Step-by-step explanation:

The equation we need is going to be 32,000 multiplied by 0.04% written as a decimal.

Since 0.04% written as a decimal is 0.004, the equation will be:

32000*0.004= ?

32000*0.004= 128.

I hope this helps!

Answer:

Step-by-step explanatmkjion:

The Correct statements is [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

To determine which statement is true, let's evaluate each statement one by one:

[tex]\sqrt[m]{x} * \sqrt[m]{y} = 2\sqrt[m]{xy}[/tex]

This statement is false. The correct product of two nth roots ([tex]\sqrt[m]{x}[/tex] and [tex]\sqrt[m]{y}[/tex]) is [tex]\sqrt[m]{x*y}[/tex], not 2[tex]\sqrt[m]{x*y}[/tex].

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

This statement is true. When raising an nth root to a power, you can simply multiply the exponents. So, [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]..

[tex]a \sqrt[n]{x}+ b \sqrt[n]{x} = ab \sqrt[n]{x}[/tex]

This statement is false. The correct result of adding two nth roots is not the product of the coefficients. It's simply (a + b) [tex]\sqrt[n]{x}[/tex].

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{xy}[/tex]

This statement is false. The correct division of two nth roots ([tex]\sqrt[m]{x}[/tex] divided by [tex]\sqrt[m]{y}[/tex]) is not equal to the product of the roots. The correct division is:

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{x/y}[/tex]

So, [tex]\sqrt[m]{x} /\sqrt[m]{y}[/tex] is equal to [tex]\sqrt[m]{x/y}[/tex], not [tex]\sqrt[m]{xy}[/tex].

Correct statements:

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]

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