Find the circumference

Answer:

For example, the phrase "3 more than an unknown number" becomes the mathematical expression "x + 3." Because the unknown number has no explicitly stated value, we label it with a variable x. To get a value three more than x, simply add 3 to it.

hope it helps ya mate. ~^~

Answer:

3 + x

Step-by-step explanation:

"More than" means addition. 3 more than x is saying 3 plus x. In an algebraic expression, this would look like:

3 + x

Answer:

greater by about 50 bacteria

hope this helps,

T

Step-by-step explanation:

Populations can be modeled by exponential functions and logarithm functions.

Kirk's graph is an exponential function, and it is represented as:

[tex]\mathbf{y = ab^x}[/tex]

From the graph (see attachment);

x = 0, when y =10.

So, we have:

[tex]\mathbf{10 = ab^0}[/tex]

[tex]\mathbf{10 = a\times 1}[/tex]

[tex]\mathbf{10 = a}[/tex]

Rewrite as:

[tex]\mathbf{a = 10 }[/tex]

Substitute [tex]\mathbf{a = 10 }[/tex] in [tex]\mathbf{y = ab^x}[/tex]

So, we have:

[tex]\mathbf{y = 10(b)^x}[/tex]

x = 20, when y =20.

[tex]\mathbf{20 = 10(b)^{20}}[/tex]

Divide both sides by 10

[tex]\mathbf{2 = b^{20}}[/tex]

Take 20th root of both sides

[tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex]

Substitute [tex]\mathbf{b = 2^{\frac{1}{20}}}[/tex] in [tex]\mathbf{y = 10(b)^x}[/tex]

[tex]\mathbf{y = 10(2^{\frac{1}{20}})^x}[/tex]

[tex]\mathbf{y = (10)2^{\frac{x}{20}}}[/tex]

Represent as function

[tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

So, Kirk's function is: [tex]\mathbf{f(x) = (10)2^{\frac{x}{20}}}[/tex]

When x = 60, we have:

[tex]\mathbf{f(60) = (10)2^{\frac{60}{20}}}[/tex]

[tex]\mathbf{f(60) = (10)2^3}[/tex]

[tex]\mathbf{f(60) = (10)8}[/tex]

[tex]\mathbf{f(60) = 80}[/tex] ---- Kirk's model

For Jana's model, we have:

[tex]\mathbf{y = 12log(x + 1) + 10}[/tex]

Substitute 60 for x

[tex]\mathbf{y = 12log(60 + 1) + 10}[/tex]

[tex]\mathbf{y = 12log(61) + 10}[/tex]

Using a calculator, we have:

[tex]\mathbf{y \approx 31}[/tex] --- Jana's model

Calculate the difference between both models

[tex]\mathbf{d = 80 - 31}[/tex]

[tex]\mathbf{d = 49}[/tex]

Approximate

[tex]\mathbf{d \approx 50}[/tex]

Hence, Kirk’s model predict the population will be greater than about 50 bacteria after 60 minutes than Jana’s model

Read more about population models at:

https://brainly.com/question/8993571

Answer:

B

Step-by-step explanation:

give me brainliest 5 star and thank!

Answer:

4 & 2

Step-by-step explanation:

Median is the two middle numbers

Answer:

I think the answer should be 4

Answer:

40%

Step-by-step explanation:

Count the total numbers of tallies. How many tallies you got put over the total number of A&B

Example: A- III B- IIII Total number of the whole chart- IIIII IIIII IIIII

7/15 and then %/100 which would be a number equal to 7/15.

I'm guessing you got the same question as me and my answer was 40%

Answer:

6x+2

-2x+1

=

4x+1

just find the area of each and subtract the non-shaded one from the shades area.

Answer:

Step-by-step explanation:

42

Answer:

Step-by-step explanation:

1.  Find the circumference of the cylinder:  C = 2πr

2.  Multiply this result by the height of the cylinder:  A = 2πr·h

3.  To this result add the surface areas (there are two) of the ends of the cylinder:  2πrh + 2πr²

This is the correct general formula for the surface area of a cylinder of  radius r and height h.  If you want specific numbers, please share the values of r and h.

Answer:

[tex]100 - {(3+ 4)}^{2} [/tex]

Answer:

A=hbb= 2

Step-by-step explanation:

your welcome plz brainlist

Answer:

21.75u2

Step-by-step explanation:

first use pythag for this

use rule c2=b2+a2

reverse the rule so that

b2=c2-a2

b2=100-81

b2=19

b=4.35

how u got the height of the triangle

use formula bh/2

10x4.35/2

=43.5/2

=21.75u2

Answer:

B. 1/2

Step-by-step explanation:

because 8y=4

solve for y which is,

8/8y = 4/8 ( devide by 8 to remove 8 from y to let y alone, so what you to on the right hand side you do on the left and vice versa, so devide 4/8 as well.)

y = 4/8

y = 1 /2 ( simplify )

Answer:

x=74 degrees

Step-by-step explanation:

1:plus 4 2: times 2 3:minus 10

Answer:

C.72

Step-by-step explanation:

angle XYZ is an inscribed angle and arc XZ is the arc it intercepts

If you didn't know the measure of an inscribed angle is equal to half the measure of its arc it intercepts or an intercepted arc equals twice the measure of its inscribed angle

Hence, angle XYZ * 2= arc XZ

If Angle XYZ = 36

then 36 * 2 = arc XZ

36 * 2 = 72

hence the answer is C

The measure of arc is 72 degree, the correct option is C.

An arc is formed by two radii and their intercepted part on the circumference.

According to the theorem of arc and subtended angles, the central angle subtended by the arc is double the angle subtended by it on the circumference.

The angle subtended by arc XZ on the circumference is 36 degree.

The angle subtended by the arc at the center is = 2 * 36 = 72 degree.

The arc subtended by the arc at the center of the circle is the measure of the arc.

To know more about Arc

https://brainly.com/question/18741430

#SPJ5

✍️Answer:

--------------------------

▭ ▭ ▭ ▭ ▭ ▭ ▭ ▭

Answer: 18/91 or ≈ 0.2

Step-by-step explanation:

Bag one: 4 red + 3 blue = 7 total

Bag two: 7 green + 6 yellow = 13 total

probability of picking blue from first bag: 3/7

probability of picking yellow from second bag: 6/13

3/7*6/13 = 18/91 or about 0.2 chance

Answer:

31.6% decrease

Step-by-step explanation:

percent of change = difference between original and new values divided by the original value

n = % change

n = 0.72/2.28

n = .3157

n = 31.6%

Answer:

5,030?

Step-by-step explanation:

Answer:  Choice C

Point D is 8 units to the left of point G

=================================================

Explanation:

Refer to the diagram below. I've graphed both points on the same xy grid. We can draw a horizontal line through points D and G to form a number line of sorts. Count the number of spaces along this number line to go from G to D. You should count 8 spaces to the left.

Effectively, this is the same as drawing a number line and plotting -10 and -2 on this number line. We only worry about the x coordinates of the two points since the y coordinates are the same (both are y = -3). Note how -10 is eight units to the left of -2 on the number line.

Answer:

9ft is hiii

Step-by-step explanation:

Answer:

[tex] {f}^{ - 1} (x) = \frac{ \sqrt{3(x - 5)} }{3}, - \frac{ \sqrt{3(x - 5)} }{3} [/tex]

,

Answer:

2,1  4,2  6,3  8,4  10,5  12,6  14,7  16,8  18,9  20,10  etc.

Step-by-step explanation:

Answer:

B. 1:7

Please give me brainliest, thank you!

Step-by-step explanation:

Information given and needed:

- 40 members

- 5 girls

- 35 boys

Solve:

girls to boys

5 to 35

(You can now simplify)

1 to 7

Answer:

B. 1:7

Answer:

1:4

Step-by-step explanation:

Answer:

[tex] {(x - y)}^{2} = (x - y)(x - y) \\ = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = ( {x}^{2} - 2xy + {y}^{2} )[/tex]

Answer:

Step-by-step explanation:

1) the temperature rise, because 8.5 is C higher than 0 C

2) 8.5 - 0 = 8.5

So it rised by 8.5 degrees ( to know how many dgrees is is rised subtract the second number from the first number)