Piper is located at (3, -12) on a map. Bobbi is located at
(3, 2). How far apart are they?

Using the power and chain rules, the derivative of

y = sin²(x) - cos²(x)

is

dy/dx = 2 sin(x) cos(x) - 2 cos(x) (-sin(x))

dy/dx = 2 sin(x) cos(x) + 2 sin(x) cos(x)

dy/dx = 4 sin(x) cos(x)

and using the double angle identity for sine, this is equivalent to

dy/dx = 2 sin(2x)

Alternatively, we can first simplify y using the double angle identity for cosine:

cos(2x)= cos²(x) - sin²(x)

so that

y = -cos(2x)

and the derivative is

dy/dx = sin(2x) • 2

dy/dx = 2 sin(2x)

Answer:

( 6 , 8 )

Step-by-step explanation:

y = kx

k = [tex]\frac{y}{x}[/tex]

( 3 , 4 )

k = [tex]\frac{4}{3}[/tex]

[tex]\frac{4}{3}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{12}{9}[/tex] = ....

( 6 , 8 )

Answer:

Use the equation for Average Rate of Change which will give you 2.7 feet per month

Step-by-step explanation:

The equation is:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Now insert your values:

[tex]\frac{48.2-5}{16-0}[/tex]

The answer is: 2.7 feet per month

Step-by-step explanation:

how much did it grow per month ?

well, it grew from 5 to 48.2 ft in 16 months.

that means it grew 48.2 - 5 = 43.2 ft.

per month that is 43.2/16 = 2.6875 ft per month.

so, the equation would look like

x = (48.2 - 5)/16

Answer:

5x+35

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

Answer:

30 mm.

Step-by-step explanation:

The longest side = sqrt(5^2 + 12^2)

= sqrt169

= 13.     (Using Pythagoras).

So the perimeter = 5+12+13

= 30 mm.

Perimeter of the piece of jewelry = 30mm

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides".

Given,

Shape of jewelry is right angle triangle ABC

length of shorter sides,

AB = 5mm

BC = 12mm

By Pythagoras theorem,

AC² = AB²+BC²

AC = √(5² + 12²)

AC = √169

AC = 13 mm

Perimeter of Triangle = AB + BC + AC

                                    = 5 + 12 + 13

Perimeter of Triangle = 30

Hence, 30 mm is the perimeter of jewelry.

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[tex]28+24=4(7)+4(6)=4(7+6)[=4(13)=52][/tex]

The answer: 4(7+6)

ok done. Thank to me :>

Using the z-distribution, it is found that since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

At the null hypothesis, it is tested if they are not above average, that is, their mean is of 500 or below, hence:

[tex]H_0: \mu \leq 500[/tex]

At the alternative hypothesis, it is tested if they are above average, that is, their mean is of more than 500, hence:

[tex]H_1: \mu > 500[/tex]

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

The parameters are:

For this problem, the values of the parameters are: [tex]\overline{x} = 541, \mu = 500, \sigma = 100, n = 50[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{541 - 500}{\frac{100}{\sqrt{50}}}[/tex]

[tex]z = 2.9[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with the standard 0.05 significance level, is of [tex]z^{\ast} = 1.645[/tex].

Since the value of the test statistic is greater than the critical value for the right-tailed test, there is sufficient evidence to support the principal’s claim.

A similar problem is given at https://brainly.com/question/25728144

Answer:

x = 18

Step-by-step explanation:

10 - x/3 = 4

=> - x/3 = -6

=> -x = -18

=> x = 18

Hoped this helped.

Answer: 18

Step-by-step explanation:

10 -1/3y = 4

1/3y = 10 - 4

1/3y = 6

y = 6 x 3 = 18

Answer: DE, EW WD

Step-by-step explanation:

It looks shortest to longest...i think its the best answer. good luck :>

Answer: D, neither A nor B

Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.

Answer: B

Step-by-step explanation:

Functions and Relations

A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.

Answer:

Step-by-step explanation:

[tex] \: \: \: \: \: \: [/tex]

[tex] = 25x - 104[/tex]

Step-by-step explanation:

[tex] - x + x26 - 104[/tex]

[tex] - x + 26x - 104[/tex]

[tex] = 25x - 104[/tex]

Answer:

bick in my vaogina toes Step-by-step explanation:

Step-by-step explanation:

x³ + 3x² - 19  ÷ x - 2 = x² + 5x + 10 rem 1

x³ -  2x²

      5x² - 19

      5x² - 10x

               10x - 19

               10x - 20

                         1

Answer:

quickly:

x-2=0 x^3+3x^2-19

x=0+2 = 2^3+3(2)^2-19

x=2 = 8+6^2-19

=8+36-19

=42-19

=23

The remainder is 23

Answer:

34.700+98.42+98.775+132.435+132.980+133.128

Answer:

1276.02

Step-by-step explanation:

25.02*51=(25*51)+(.02*51)=1275+1.02=1276.02

Answer:

1.3

Step-by-step explanation:

Answer: y-(-2)=-2/3(x-5)

Step-by-step explanation:y-y1=m(x-x1)

Plug-in

Answer:

-3<lxl<5

Step-by-step explanation:

take least number than use x in absolute value bars than take highest number sorry if this is wrong I'm just a kid

Answer:

d. 2

Step-by-step explanation:

-2y +10+2y-8

10-8. ( -2y+2y = 0)

2

Answer:

d) 2

Step-by-step explanation:

We can first combine like terms

-2y + 2y = 0

Now, our expression is simply 10 - 8, which is 2

So, the answer is

d) 2

Answer:

{},{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}

Step-by-step explanation:

Answer:

f(3) = g(6)

Step-by-step explanation:

Answer:

a. 810

b. 27

c. 30

Step-by-step explanation:

Part a.

The volume is 9 * 9 * 10.

9 * 9 = 81, and 81 * 10 = 810.

Part b.

The volume of a cube is x^3, where x is the side length of the cube.

If x = 3, then 3^3 = 27.

Part c.

If each notebook has a volume of 27, then the maximum amount of notebooks that will fit in a box with volume 810 is 810/27 = 30 notebooks

a. The volume of the rectangular box is 810 inch³.

b. The volume of the notepad is 243 inch³.

c. The maximum number of notepads that will fit inside the box is 3.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall.

Therefore, The volume of the box is, = (9×9×10) inch³.

= 810 inch³.

The dimensions of the notepad are 9 inches by 9 inches with an height of 3 inches.

Therefore, The volume of the notepad is = (9×9×3) = 243³ inches.

The maximum number of notepads that will fit inside thebox is,

= (810/243).

= 3.33 but it sholud only be 3 notepads.

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Answer: 92,700

Step-by-step explanation:

9,270,000 / 100 = 92,700

Answer:

So x=2.32956156226

Step-by-step explanation:

First subtract 1 on both sides

2^3x=127

Now you can rewrite this as

(2^3)^x

As it still equals the same thing

Now 2^3 is 8

So the equation is now

8^x=127

So we use log formula

log8 127=x

So how many times do we have to multiply 8 by itself to get 127?

The answer is: 2.32956156226

Hope this helps!

Answer:

Step-by-step explanation:

I'll use y for quantity and x for price [love my x and y] and rewrite the demand and supply functions:

Demand:    y=1204−11x

Supply:       y = -3 + 6x

==

We want to know the equilibrium price and quantity.  The quantities purchased and sold would be equal to the quantities supplied:

  1204−11x = -3 + 6x

-17x = - 1207

 x = 71  The price of a widget is 71 units ($, €,£,¥, etc.) at equilibrium

A price of 71 would lead to a demand and supply of:

y = 1204−11x

y = 1204−11(71)

y = 423 Widgets

We can also plot this to find the point (71,423).  See the attachment.

At this point, I'm uncertain how to answer the "producer surplus" and "unmet demand" at equilibrium.  This is what I did, so please judge if it is correct.

The demand line, y=1204−11x, tells us that if the price were 0, the demand would be 1204, which I'll assume in the maximum, since it is stipulated that x > 0  (I imagine it may no longer be a straight line when the price goes into negative territory.  I'd be the first in line to accept a widget and $5 if they were priced at -$5).

At equilibrium, therefore, we would still have an unmet demand of (1204 - 423) or 781 widgets that customers wanted, but wouldn't pay the price.

It seems to me that this would also be the unmet demand:  Product that could have been sold, but wasn't, due to the price.  I'm unsure, however.

Answer:

7.5 gallons

Step-by-step explanation:

the 50% of 5 gallons is 2.5 then add up 5 gallons so the answer is 7.5 gallons of gas