The perimeter of a square is increasing at a rate of 555 meters per hour. At a certain instant, the perimeter is 303030 meters. What is the rate of change of the area of the square at that instant (in square meters per hour)

Answer:

SA = 2πr² + 2πrh

Step-by-step explanation:

2πr² will provide the surface area of the top and bottom of the cylinder

2πrh will provide the surface area of the cylinder portion that connects the top and bottom

Answer:

Add those 3 numbers together, it's been awhile since I've done this but you have all 3 numbers so now you add them together

Answer:

x = 11

Step-by-step explanation:

By using angle bisector theorem,

"Bisector of an angle divides the opposite side of the angle into two segments such that they are proportional to the other two sides.

[tex]\frac{AC}{CD}= \frac{AB}{BD}[/tex]

[tex]\frac{8}{4}=\frac{x+3}{x-4}[/tex]

8(x - 4) = 4(x + 3)

8x - 32 = 4x + 12

8x - 4x = 32 + 12

4x = 44

x = 11

Therefore, value of x is 11.

Step-by-step explanation:

1 2/3, 1 1/2, 1 1/4 1 7/12 =>

1 8/12 , 1 6/12, 1 3/12, 1 7/12

Answer:

1 2/3

Step-by-step explanation:

x-5x+5=2x-3x

-4x+5= -1x

5=3x

5/3=x

1 2/3=x

Answer:

The formula for exponential growth is f(x)=a(1+r)^x, where a is the initial amount/number, r is the growth rate, and x is the number of years/month/etc. The problem tells us that the initial area is 4500. Every year, it decreases by 7.25%, which is technically -0.0725. "t" is the time. Therefore, we plug in those values into the formula. Then, we have:

f(x) = 4500(1-0.0725)^t

f(x) = 4500(0.9275)^t.

Answer:

PITYPEEPOEPEO

jdskfdslmf

Step-by-step explanation:

fnkasmkml;cmensa

Now if the lemonade is 1.50 he can only buy two because the total amount is 8.30 so it will be 3.00 and the amount left will be 5.00 and you can only buy one cupcake so you will buy two lemonades one cupcake

Answer:

3

Step-by-step explanation:

You spend $8.30 total. Subtract the $5 for the cupcakes, and you're left with $3.30 to spend on lemonade.

Since you bought the dozen cupcakes, you get the lower price for the lemonade. Lemonade was $1.25, but subtract $0.15 and it's now $1.10/quart

3.30 divided by 1.10 = 3

Answer:

"Certain" Maby I dont know

Answer:

45°

Step-by-step explanation:

Let :-

We know :-

On adding :-

→ x + 3x = 180°

→ 4x = 180°

→ x = 180°/4

→ x = 45°

Answer: 540

Step-by-step explanation: You get 540 when you round to the tenth place because it's already rounded.

Answer:

$1.11

Step-by-step explanation:

Find the price per roll by dividing the cost by the number of rolls:

9.99/9

= 1.11

So, the price per roll of toilet paper is $1.11

Answer:

you forgot the question

Step-by-step explanation:

Answer:

where is the question? we need the question lol

Answer:

x = 119°

Step-by-step explanation:

The angle between chord KJ and chord LM is half the sum of the arcs intercepted by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (75 + 47)° = 0.5 × 122° = 61°

This angle and x are adjacent angles and sum to 180° , then

x = 180° - 61° = 119°

Answer:

D)

Step-by-step explanation:

Answer:

2304

Step-by-step explanation:

a1 = 9

a2 = 4*a1 = 4*9 = 36

a3 = 4*a2 = 4*4*a1 = 4*4*9 = 144

a4 = 4*a3 = ... = 4*4*4*9 = 576

a5 = 4*a4 = ... = 4*4*4*4*9 = 2304

in other words

an = a1*4^(n-1)

you have to run through the calculation (in our case a simple multiplication by 4) n-1 times with the starting value of a1.

so, a5 = 9 * 4^4

for example a20 would then be

a20 = 9 * 4^19

Answer:

68.

Step-by-step explanation:

We have adjacent and hypotenuse given.

So, cosФ= adj/hpt

cos inverse=3/8

Ф=67.97=68.

Answer: A

Step-by-step explanation: Because 32=23=12321=33+23123

Answer:

1 x 36 in

2 x 18in

3 x 12  in

4 x 9 in

6 x 6 in

Step-by-step explanation:

volume of a prism = length x width x height

or

volume of a prism = base area x height

the base is the shape of a rectangle , so area of the base = length x width

360 = base area x 10

base area = 360 / 10 = 36 cm^2

the two possible pairs of base area can be determined by determining the factors of 36

factors of 36 = 1,2,3,4, ,6,9. 12, 18, 36

Possible dimensions are 1 x 36

2 x 18

3 x 12

4 x 9

6 x 6

Answer:

Pretty sure its C?

Answer:

the first answer is 17. The second is 24. good luck!

Answer:

17 units

25 units

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

26

Answer:

x = -2/15.

Step-by-step explanation:

Finding the second derivative:

f'(x) = 15x^2 +4x - 3

f"(x) = 30x + 4

30x + 4 = 0   for a point of inflection

x = -4/30 =  -2/15

So 30x + 4 is negative up to x =  -2/15 and positive thereafter.

So the curve passes from concave downward to concave upward at x = -2/15.

Answer:

[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]

Step-by-step explanation:

to figure out the infection point

take derivative both sides:

[tex] \displaystyle f'(x) = \frac{d}{dx} {5x}^{3} + 2 {x}^{2} - 3x[/tex]

By sum derivation rule we acquire:

[tex] \displaystyle \rm f'(x) = \frac{d}{dx} {5x}^{3} + \frac{d}{dx} 2 {x}^{2} - \frac{d}{dx} 3x[/tex]

apply exponent derivation rule which yields:

[tex] \displaystyle f'(x) = {15x}^{2} + 4{x}^{} - 3[/tex]

take derivative in both sides once again which yields:

[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - \frac{d}{dx} 3[/tex]

remember that, derivative of a constant is always 0 so,

[tex] \rm\displaystyle f''(x) = \frac{d}{dx} {15x}^{2} + \frac{d}{dx} 4{x}^{} - 0[/tex]

by exponent derivation rule we acquire:

[tex] \rm\displaystyle f''(x) = {30x} + 4{}^{} [/tex]

substitute f''(x) to 0 figure out the x coordinate of the inflection point:

[tex] \rm\displaystyle {30x} + 4{}^{} = 0[/tex]

cancel 4 from both sides:

[tex] \rm\displaystyle {30x} = - 4[/tex]

divide both sides by 30:

[tex] \rm\displaystyle {x} = - \frac{2}{15} [/tex]

now plugin the value of x to the given function to figure out the y coordinate of the inflection point:

[tex] \rm \displaystyle f(x) = {5 \left( - \frac{2}{15} \right) }^{3} + 2 {\left( - \frac{2}{15} \right) }^{2} - 3 \left( - \frac{2}{15} \right)[/tex]

By simplifying we acquire:

[tex] \displaystyle f(x) = \frac{286}{675} [/tex]

hence,

the coordinates of inflection point are

[tex] \displaystyle \left( - \frac{2}{15} , \frac{286}{675} \right)[/tex]

Answer:

16in

Step-by-step explanation:

Plz help me too

Answer:

a^2 + b^2 = c^2...a and b are the legs and c is the hypotenuse

90^2 + 120^2 = c^2

8100 + 14400 = c^2

22500 = c^2.....take the sq rt of both sides...this gets rid of the ^2

sq rt 22500 = c

150 = c

so side a = 90 ft, side b = 120 ft, and side c = 150 ft

this is called the pythagorean theorem and it only works on right triangles

Step-by-step explanation:

done sorry if im wrong

-18x

you first times the numbers, which becomes -18

Next you add the exponent from the veriables (x) (if you're diving you're subtractiong example: x^a/x^b = x^a-b)

Sooo when you add them you get 8-7=1 which means.. x^1 (but you don't need to put the 1)

-18x

Answer: Select the first one

Step-by-step explanation:

-6 multiplied 3 is -18

AND they both have power x which means  -6x⁸   multiply 3x ⁻⁷

                                                         =  -18 x⁸ ⁺⁽⁻⁷ ⁾(As the have same variable )

                                                         =  -18 x⁸⁻⁷

                                                           =-18 x

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

70+85+150+x=360 degree(sum of 4 angles is always 360 degree)

305+x=360

x=360-305

x=55 degree

Answer:

85+1 50+70+x=360{ sum of interior angels of of quadrilateral}

305+x=360

x=360-305

x=55degree