find the general solution to "+′−6=3^2

Answer:

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Answer: [tex]x(x+4)[/tex]

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]

Answer:

0.5 ft^2

Step-by-step explanation:

The area in square inches is (6 in )(12 in) = 72 in^2.

Recall that 1 ft^2 = 144 in^2.

Then

  72 in^2         1 ft^2

--------------- * --------------- = 0.5 ft^2

         1           144 in^2

Step-by-step explanation:

y is 72, give other person brainly! :)

Answer:

The value of x is 11.

Explanation:

The opposite sides of a parallelogram being equal, GD will be equal to 17. Equating, the value '11' is obtained.

Answer:

$7

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

Answer:

80

Step-by-step explanation:

You know that 20% of the school band are 16 clarinet players, or 16 is 20% of the band.

You can set up the equation 0.2x = 16 and divide both sides by 0.2. You then get that x = 80, so there are 80 kids in the school band.

Answer:

94.25 feet

Step-by-step explanation:

we can use the formula for the circumference of the circle to determine the diameter of the ferris wheel.

Answer:

0.59049

Step-by-step explanation:

Set of all digit strings of length 5

Digit range = (0 - 9) = 10

Length of digit = 5

Total possible outcomes = 10^5 = 100000

String without a 4 ;

Digit range = (0,1,2,3,5,6,7,8,9) = 9

Length of digit = 5

Required outcome = 9^5 = 59049

Required outcome / Total possible outcomes

59049 / 100000

= 0.59049

Answer:

V≈163.36ft³

Step-by-step explanation:

V=π(d 2)2h=π·(4 2)2·13≈163.36282ft³

Diameter= 4ft

Height=13ft

Heart me pls

Answer:

Solve for x over the real numbers:

x^2 - 12 x - 4 = 0

Add 4 to both sides:

x^2 - 12 x = 4

Add 36 to both sides:

x^2 - 12 x + 36 = 40

Write the left hand side as a square:

(x - 6)^2 = 40

Take the square root of both sides:

x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

Answer: |

| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)

Answer:

No

Step-by-step explanation:

A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

Equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

" Equation is defined as the algebraic expression which represents the relation between variables and the number using sign of equality."

According to the question,

Initial amount is Rodriguez account [tex]= \$8500[/tex]

Plans to spend a month from his account [tex]= $700[/tex]

[tex]'x'[/tex] represents the number of months

Amount spend in [tex]'x'[/tex] months [tex]= 700x[/tex]

[tex]'y'[/tex]  represents the amount left in the account

As per given situation required equation is ,

[tex]y = \$(8500-700x)[/tex]

Hence, equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

Learn more about equation here

https://brainly.com/question/10413253

#SPJ2

Answer:

most likely 12, because you can take half of the time with double the people.

Step-by-step explanation:

I hope this helped!

Answer:

if they are same exact thing but mirrored, then just mirror it the way it needs to.

Example

-1 in the second by -3.4, 3.4 by  1

Answer:

C

D

Step-by-step explanation:

there's nothing to explain here. just basic

Answer: C

Step-by-step explanation: To simplify the first equation given, you use the process of elimination. There are three of the same variable, s, and that would be simplified to 3s. After that everything remains the same. Making C equivalent to the given equation.

Answer:

Median is best suitable, it = 4

Step-by-step explanation:

Median is best suitable as this data' measure of central tendency. As, mean is suitable in a normally distributed data. But, in skewed (uneven) distributions, where outliers exist, median is more suitable - as it is positional average, not effected by extreme values ie outliers.

Median :

Ascending order : 0 , 1 , 2 , 2 , 4 , 4 , 4 , 5 , 5

Number (N) = 9. So, median = (N+1/ 2)th observation

= { (9 +1) / 2 } th = (10 / 2)th = 5th observation = 4

Answer:

median 4

Step-by-step explanation:

Answer:

There are 18 teachers in the auditorium.

Step-by-step explanation:

1/9 of 162

1/9 * 162 = 18.

Answer:

The measure of the angle is 120 degrees

Step-by-step explanation:

Here, we want to find the measure of the angle

Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees

We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle

Thus, we have this as;

360 - (150 + 90)

= 360-240

= 120

Answer:

1.1 : C - x^2 + x - 2

1.2 : A - 4a^2 - 6b^2 + 12

Step-by-step explanation:

When we have the expression p(x) - q(x), we can substitute those functions in:

(x^2 + 2x - 5) - (x - 3)

We can distribute:

x^2 + 2x - 5 - x + 3

and then combine like terms(2x & -x, -5 & 3)

x^2 + x - 2

This is the same as C.

We can start by distributing:

a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4

Now, we can combine all the a^2 terms(a^2 & 3a^2):

4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4

Then, we can combine the b^2 terms(-2b^2 & -4b^2):

4a^2 - 6b^2 + 3 + 4 + 5

and lastly, all the constants:

4a^2 - 6b^2 + 12

This aligns with option A

Answer:

Below in bold.

Step-by-step explanation:

Let x be George's age and y be Genemy's age.

x/y = 5/7

(x + 4)/ (y + 4) = 3/4

From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :

(x + 4)/ (1.4x + 4) = 3/4

3(1.4x + 4) = 4(x + 4)

4.2x + 12 = 4x + 16

0.2x = 16 -12 = 4

x = 4/0.2 = 20 = George's age.

So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.

Answer:

function is h(t) = -16t² + 22t + 6

max height is 13.5 feet

Step-by-step explanation:

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

Answer:

I think the diagram is like this, I am not sure though.

Step-by-step explanation:

Answer:

brainliest please, sorry for the inconveniences

Answer:

A

Step-by-step explanation:

So lets look at the points on the graph.

Actually, lets just look at a and b(We only need 1 of these points, but it doesnt hurt to do a little extra to udnerstand it better)

If we count the coordinates for A, we get:

(-2, 3)

Remember, we need to use a scale factor of 2 for this.

So we need to multiply by 2.

This now gets us:

(-4. 6)

This looks like answer A, which has:  (-4, 6) for A coordinates.

Now, lets check this with B coordinates:

(1, 3)

Multiply by 2:

(2, 6)

For answer A, is this the B coordinates?

Yup, answer A has B coordinates (2, 6)

So the answer is A!

Hope this helps! :)

Answer:

the tickets will cost 384 dollars in all