hank is studying a population of bacteria and notices that the bacteria population increases by 5% each hour. the function that represents that populations of bacteria has a constant percent of change. true or false

Given:

Radius of a cylinder = 5 units.

Surface area of the cylinder = [tex]160\pi[/tex]

To find:

The height of the right cylinder.

Solution:

Surface area of a cylinder is:

[tex]A=2\pi rh+2\pi r^2[/tex]

Where, r is radius and h is the height of the cylinder.

Putting [tex]r=5, A=160\pi[/tex] in the above formula, we get

[tex]160\pi =2\pi (5)(h)+2\pi (5)^2[/tex]

[tex]160\pi =10\pi h+2\pi (25)[/tex]

[tex]160\pi =10\pi h+50\pi [/tex]

Subtract [tex]50\pi[/tex] from both sides.

[tex]160\pi -50\pi=10\pi h [/tex]

[tex]110\pi=10\pi h [/tex]

Divide both sides by [tex]10\pi[/tex].

[tex]\dfrac{110\pi}{10\pi}=h[/tex]

[tex]11=h[/tex]

Therefore, the height of the cylinder is 11 units.

Answer:

Step-by-step explanation:

since there is no table included with the question I'm concluding that you need to find values of y using values of x, simply substitute the x values in the equation and you'll get the y value like this

if x = 1 y = 4

Answer:

x - 0 1 2 3 4 5

y - 3 4 5 6 7 8

It is very simple, all you have to do is add three to x every time, for example if x is 153, y will be 156. 3 should be the beginning, the y intercept in graphs, and the beginning means x should be 0.

Answer:

He sold 12 chocolates for 1 Re.

Step-by-step explanation:

He bought 15 chocolates for 1 Rupee

He sold for a profit of 25%

Sale price = profit + cost price

SP= 25%of 1 + 1 Re

SP = 0.25*1+ 1

SP = 1.25 Rs

He sold 15 chocolates fro 1.25 Rs

Chocolates            Rupees

15                            1.25

x                                1

Applying cross product

x*1.25= 15*1

x= 15*1/1.25

x= 12

He sold 12 chocolates for 1 Re.

Answer:

95

Step-by-step explanation:

jdisusyhsyysysyydyydyyddhdhhdhhdhhd random

Answer:

Farah bought 1 sandwich which cost $7 and three snack mix bags which also cost (2 + 2 + 2)$

2+2+2+7=$13

Answer:

1. 8:15

2. 6

3. 32

4. 12.4

Answer:

D.

Step-by-step explanation:

I don't really know how to explain this over a computer, but it is correct.

Hope that this helps!

Answer:

compressibility, particle motion, shape

Step-by-step explanation:

just took it

Answer:

I think the answer is yes

Multiply x by 12 to get y

Answer:

x = -2    

x=-12

Step-by-step explanation:

5 | x+7| +14 = 39

Subtract 14 from each side

5 | x+7| +14-14 = 39-14

5 | x+7|  = 25

Divide each side by 5

5 | x+7| /5 = 25/5

| x+7|  = 5

Make two equations, one positive and one negative

x+7 =5     x+7 = -5

Subtract 7 from each side

x+7-7 = 5-7    x+7-7 = -5-7

x = -2               x=-12

Note: Options are missing. So, the general solution of the given inequality is shown below.

Given:

The inequality is:

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

To find:

The point lies in the solution set of the given inequality.

Solution:

We have,

[tex]\dfrac{1}{2}(x+2)+3y<8[/tex]

It can be written as:

[tex]\dfrac{1}{2}(x)+\dfrac{1}{2}(2)+3y<8[/tex]

[tex]\dfrac{1}{2}x+1+3y<8[/tex]

[tex]\dfrac{1}{2}x+3y<8-1[/tex]

[tex]\dfrac{1}{2}x+3y<7[/tex]

All the points that satisfy the above inequality are in the solution set of the given inequality.

For example (0,0).

[tex]\dfrac{1}{2}(0)+3(0)<7[/tex]

[tex]0<7[/tex]

This statement is true. It means (0,0) is in the solution set.

For example (0,3).

[tex]\dfrac{1}{2}(0)+3(3)<7[/tex]

[tex]9<7[/tex]

This statement is false. It means (0,3) is not in the solution set.

The graph of the inequality [tex]\dfrac{1}{2}x+3y<7[/tex] is shown below.

All the points in the shaded region are in the solution set but the points on the boundary line are not in the solution set.

Answer:

We have the inequality:

3*(2*x - 1) < 9

Where the given options are:

0, 1, 2, 3, 4

(you wrote k instead of x, but before you wrote "select all the values of x that make that inequality true", then I assume that the variable is x instead of k).

Again, let's start with the inequality:

3*(2*x - 1) < 9

and let's isolate the variable x.

(2*x - 1) < 9/3 = 3

(2*x - 1) < 3

2*x < 3 + 1 = 4

2*x < 4

x < 4/2

x < 2

Then all the values of x that are strictly smaller than 2 make the inequality true.

From the given options (0, 1, 2, 3, 4) the two that make the inequality true are:

x = 0

and

x = 1.

Answer:

625 N

Step-by-step explanation:

First, find the area of the square.

Area = side x side

        = 5 x 5

        = 25 m²

Force = pressure x area

          = 25 x 25

          = 625 N

Hope this helps!

Answer:

x = 30

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

4x-18  = 2x+6 + 36

Combine like terms

4x-18 = 2x+42

Subtract 2x from each side

4x-18-2x =2x+42-2x

2x-18 =42

Add 18 to each side

2x-18+18 = 42+18

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

Answer:

Exposed group has 2 times the odds of bladder cancer than not exposed group based on our odds ratio.

The disease is bladder cancer.

Explanation:

Calculate odds for exposed group =

1293 with bladder cancer had used artificial sweeteners in the past/

855 without bladder cancer had used sweeteners= 1.51

Calculate odds for not exposed group=

1707 with bladder cancer had never used artificial sweeteners/ 2145 without bladder cancer had never used artificial sweeteners=0.795

Odds ratio=odds for exposed group/odds for not exposed group

= 1.51/0.795

= 1.899

Therefore exposed group has two times the odds of bladder cancer than not exposed group.

Answer:

[tex]h^-^1(x)=0.5x+1.5[/tex]

Step-by-step explanation:

Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.

[tex]h(x) = 2x - \frac{4}{3}[/tex]

Inverse operations,

[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]

Simplify,

[tex]0.5(h(x))+1.5=x[/tex]

Write in inverse function notation,

[tex]h^-^1(x)=0.5x+1.5[/tex]

Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

[tex]r=\sqrt{a^2+b^2}[/tex] and filling in:

[tex]r=\sqrt{(-9\sqrt{3})^2+(9)^2 }[/tex] (notice we do not put the i in there with the 9).

[tex]r=\sqrt{243+81}[/tex] so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

[tex]tan^{-1}(\frac{b}{a})[/tex] so filling that in, we have:

[tex]tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }[/tex] Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is [tex]\frac{5\pi}6}[/tex], so the polar form of that number is (18, [tex]\frac{5\pi}{6}[/tex])

Answer:

its d

Step-by-step explanation:

i guessed lol

Answer:

f(4) = 9

Step-by-step explanation:

f left parenthesis x right parenthesis equals x squared minus 3 x plus 5

f(x) = x² - 3x + 5

f left parenthesis 4 right parenthesis equals

f(4) =

f(x) = x² - 3x + 5

When x = 4

f(4) = 4² - 3(4) + 5

= 16 - 12 + 5

= 9

f(4) = 9

Answer:

Pretty sure its A

Step-by-step explanation:

Answer:

9 and 2

Step-by-step explanation:

9+2=11

9×2=18

Answer:

9 and 2

Step-by-step explanation:

Answer:

(3x + 4)²

Step-by-step explanation:

Let the unknown number be x.

(3x + 4)²

Answer:

The answer I'd the option D

Answer:

Step-by-step explanation:

Distributive

Step-by-step explanation:

41+29=70

41 +(9+20)=70

(41+9)+20=70

hope it help

Answer:

27

Step-by-step explanation:

V_cylinder = pi r^2 h

h = 36

V_cylinder = 36 pi r^2

V_Sphere = 4/3 * pi * r^3

But the volumes are given as equal

36pi r^2 = (4/3) pi r^3                           divide by pi r^2

36 =  4/3 r                                             Multiply both sides by3/4

36 * 3/4 = r

r = 27

Answer:

Step-by-step explanation:

Like that on the graph but on the x axis

Answer:

I hope this helps!

Step-by-step explanation:

Answer:

128.57 degrees per each interior angle

Step-by-step explanation:

For interior angles of regular polygons, all you have to do is add 180 degrees to the sum for each side added. For example, from triangle to quadrilateral, you would do 180 + 180 to get 360. Then from quadrilateral to pentagon, you would do 360 + 180 = 540. Do that all the way up to a heptagon and you get a sum of 900 degrees. 900 divided by seven angles will get you 128.57 degrees per interior angle.

Answer:

each interior angle = 128.6°

Step-by-step explanation:

Sum of interior angles of  a polygon with n sides = ( n - 2) x 180°

Given n = 7

So, sum of interior angles = ( 7 - 2 ) x 180 = 900°

Given it is regular,

      therefore each interior angle :

                                             [tex]\frac{900}{7} = 128.6^\circ[/tex]

Answer:

a)[tex]ms^{-1}[/tex]

b)[tex]71ms^{-1}[/tex]

Solution:

a)

we are finding the derivative from position to velocity thus

units = [tex]ms^{-1}[/tex]

b)

[tex]m=\frac{y(2)-y(0)}{2-0}=\frac{139+3}{2}=71ms^{-1}[/tex]

The polynomial, [tex]5x^3 - x^2 + 2[/tex], is a trinomial and the degree of the polynomial is 3.

A polynomial is an algebraic expression consisting of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

The given polynomial, [tex]5x^3 - x^2 + 2[/tex], has three terms separated by addition and subtraction symbols, making it a trinomial.

The highest exponent in the polynomial is 3, which determines its degree.

So, the degree of the polynomial is 3.

To learn more on Polynomial click here:

https://brainly.com/question/11536910

#SPJ4

Answer:

B. Parallelogram

Step-by-step explanation:

1. It can't be a square since all 4 sides need to be equal. Squares have 4 equal angles (90 degrees angles)

2. A parallelogram is a four-sided figure with two pairs of parallel sides. This fits exactly with the image that is shown. But let's check the other answers first.

3. While rectangles also have 2 pairs of parallel sides, rectangles have 4 equal angles (90 degrees angles) just like squares do, it can't be a rectangle.

4. A rhombus has four equal sides, meaning this figure can't be a rohmbus.

5. It can't be a trapezoid since trapezoids only have one pair of parallel sides. This figure has 2 pairs of parallel sides.

6. Only B. Parallelogram could possibly be right. Therefore, the answer to this question is that  B. Parallelogram is the type of polygon that this figure is.

9514 1404 393

Answer:

  A) r = d/t

  B) 221,760 ft/h

  C) 42 mi/h

  D) miles; the number is more comprehensible

Step-by-step explanation:

A) Given d = rt

Divide by the coefficient of r to solve for r.

  r = d/t

__

B) Fill in the given numbers to find the rate in ft/h.

  r = (665,280 ft)/(3 h) = 221.760 ft/h

__

C) Multiply by the conversion factor (1 mi)/(5280 ft) to convert to miles.

  (221,760 ft/h)(1 mi)/(5280 ft) = 42 mi/h

__

D) For this scenario, miles per hour is a better unit for speed. Many people have seen that speed registered on a speedometer, so have some sense of what it means. Often numbers outside the range of 1 to 1000 are beyond ready comprehension.

Answer:

y = 5/2x + 8

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-2) / -2 - (-4)

5 / 2

= 5/2

y = 5/2x + b

3 = 5/2(-2) + b

3 = -5 +  b

8 = b