Scientists are creating a material that may replace damaged cartilage in human joints. This hydrogel can stretch to 21 times its original length. If a strip of hydrogel is 3.2 centimeters, what would its length be when stretched to capacity?

We have been given that a particular type of cell increases by 75% in number every hour. We are asked to find the number of cells present at the end of 12 hours if there are initially 4 of these cells.

We will use exponential growth formula to solve our given problem.

\(y=a\cdot (1+r)^x\), where,

y = Final amount,

a = Initial amount,

r = Growth rate in decimal form,

x = Time.

\(75\%=\frac{75}{100}=0.75\)

Upon substituting initial value \(a=4\) and \(x=12\) in above formula, we will get:

\(y=4\cdot (1+0.75)^{12}\)

\(y=4\cdot (1.75)^{12}\)

\(y=4\cdot 825.0050068497657776\)

\(y=3300.020027\)

\(y\approx 3300\)

Therefore, there will be approximately 3300 cells at the end of 12 hours.

Answer:

IT C BECUASE THEY FOLLOWING A LINE IN A CLUSTER THAT RIGHT BECUASE IT CANT BE D BECUASE IT NOT DESCRIBING THE ENTIRE THING BRAINLITS PLS

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

The plot looks like an inverted parabola with a point in the middle that does not belong to the parabola.

Answer: D.

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The highest power in this function is x^4, which is an even function.  If we start at the y-axis and move left, the graph goes UP; similarly if we move right, the graph goes UP.  The first possible answer is the correct one.

Answer:

The left side continues up, and the right side continues up

Step-by-step explanation:

I took the test:)

Answer:

this is the simplest form

Step-by-step explanation:

since there is a variable in the fraction, you can't simplify it any further until we know that term.

Answer:

-7y/2

Step-by-step explanation:

-7y/2 cannot be simplified any further as there are no common factors of -7y and 2

Answer:

0.125 is the answer teraminitng means to have an end

Answer:

I think the answer is 5

Step-by-step explanation:

Answer:

Cant help but wanna be fri3nds though <3 brainliest please

Step-by-step explanation:

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth

Hope my answer helps you✌️

Answer:

Option A is correct answer

Step-by-step explanation:

mark me brainliest

Answer:

Width          Length            Perimeter

2m               32m                68m

4m               16m                 40m

8m               8m                  32m

Region #3 would use the least amount of tape with a perimeter of 32m

Step-by-step explanation:

We know the area is 64m²

Area is length x width and Perimeter is length+width+length+width

If the width is 2 then the length has to be 32 (32x2=64) and the perimeter is 68 (32+32+2+2=68)

If the width is 4 then the length has to be 16 (16x4=64) and the perimeter is 40 (16+16+4+4=40)

If the width is 8 then the length has to be 8 (8x8=64) and the perimeter is 32 (8+8+8+8=32)

Answer:

                  Width    Length   Perimeter  

Region #1      2 m     32 m     68 m

Region #2     4 m     16 m      40 m

Region #3     8 m      8 m       32 m

Region #3 needs the least amount of tape because it has the shortest perimeter

Answer:id say the 2nd and 5th is right

Step-by-step explanation:if im wrong sorry

Answer below:

4 x (58 x 25) = 4 x (25 x 58) = (25 x 4) x 58 = 5800

(293 x 50) x 20 = 293 x (50 x 20) = 293000

The required solutions would be below which are commutative Properties of Multiplication illustrated here:

4 × (58 × 25) = 4 × (25 × 58) = (25 × 4) × 58 = 5800

(293 × 50) × 20 = 293 × (50 × 20) = 293000

The commutative property of multiplication says that the result is unchanged by how we multiply the two integers.

If 3 and 7 are the numbers, then 3 × 7 = 21, and 7 × 3 is also equal to 21. Thus 3 × 7 = 7 × 3. Therefore, the commutative property holds true for the multiplication of numbers.

According Commutative Property of Multiplication,

4 × (58 × 25) = 4 × (25 × 58) = (25 × 4) × 58 = 5800

(293 × 50) × 20 = 293 × (50 × 20) = 293000

Hence, the numbers are commutative Property of Multiplication is illustrated here.

Learn more about the commutative property of multiplication here:

brainly.com/question/13217193

#SPJ2

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

The smallest number is the one closest to zero, or after zero, if it's a negative number, while the largest number is the number with the largest difference from the smallest, or the highest of value (not considering all situations). Usually, you would use the ascending order method for graphing numbers based on their value, which is indeed smallest to largest. According to thefreedictionary.com, "A function or variable continuously approaching zero as a limit." Tip: In ordering numbers based on value, the whole numbers that aren't negative are considerably believed to be the easiest numbers to order.

With that being said, here is the order of the numbers from smallest to largest:

4.38

4.5

4.6

4.9

Answer:

Here are the numbers ordered from closest to zero to farthest from zero:

4.38 (closest to zero)

4.5

-4.6

-4.9 (farthest from zero)

Step-by-step explanation:

Answer:

3^6 is the same as 3 to the power of 6.

3*3*3*3*3*3

=729

Answer:

Step-by-step explanation:

welp 32 divided by 2 is 16 soooooo

if you need it to be a scientific notation i gootchuuu

steps

1.)a×10n.

2.)to write it in it's original form you have to multiply it by 10 = 10^1.

3.)⇒16=1.6×101.

basically its the power is gonna be positive which is just 1

and you move left one time and your answer is just 1.6^1

Answer:

B

Step-by-step explanation:

trust rhhfhghthtjttjrhhrhr

Answer:

By -66° because -30°(2 1/5) = -66°

Answer:

48.1 somewhere around 36 and 57

Step-by-step explanation:

Answer:

36-57

Step-by-step explanation:

18.50 x 2.6 = 48.10, which is between those two numbers

Answer:

I am pretty sure it is 1.

Step-by-step explanation:

I am doing addition and subtraction methods.

Answer:

fish a has a great interest

      Answer:         44 comic books

Step-by-step explanation:

Answer: 92, 46, 23

Step-by-step explanation:

184/2 = 92

92/2= 46

46/2= 23

Answer:

z>15+w

Step-by-step explanation:

Answer: 80 mL

Step-by-step explanation:

Add all percents together= 80%

Leftover= 20%
20% of 400 is 80.

The answers is: 33

33 is the integer that represents her location relative to the surface after 7 seconds.

And 33 feet far the diver have to go to return to the surface.

Step-by-step explanation:

Given:

A scuba diver is 15.5 feet below the surface of the water.

The diver continues to swim downward at a rate of 2.5 feet per second.

Now, to find the integer represents her location relative to the surface after 7 seconds.

And to find how far does the diver have to go to return to the surface.

So, to get the integer represents her location relative to the surface after 7 seconds.

Initial depth = 15.5 feet.

Distance traveled down = 7 × 2.5 = 17.5 feet.

Final depth of water surface = Initial depth + Distance traveled down.

Final depth of water surface = 15.5 feet + 17.5 feet.

Final depth of water surface = 33 feet.

Thus, 33 is the integer represents her location relative to the surface after 7 seconds.

Now, to get how far does the diver have to go to return to the surface:

As, the diver goes to 33 feet down to the surface.

Thus, the diver to return she have to go through the same distance.

So, to return to the surface she need to go to 33 feet far.

Therefore, 33 is the integer that represents her location relative to the surface after 7 seconds.

And 33 feet far the diver have to go to return to the surface.