Scientists are conducting trials on a new disinfectant for use in hospitals and doctor’s offices. After conducting several trials, they found that it decreases the presence of bacteria by 35% each second that it is applied to a surface. The next trial will apply it on a desk surface with approximately 20,000 cells of bacteria on it.

Which logarithmic function models the time, , in seconds, it will take the number of cells to decrease to a value of n?

A.

B.

C.

D.

Answer:

$33.25

Step-by-step explanation:

Taking Eric's hours as a ratio to the total hours :

Multiply the ratio into the amount paid :

Eric's share of the money is $33.25

Answer:

$33.25

Step-by-step explanation:

The combined, total number of hours they worked is

3.5 hours + 2 hours = 5.5 hours

The total pay is $52.25

The pay rate is $52.25/(5.5 hours) = $9.50/hour

Eric worked 3.5 hours.

Pay = 3.5 hours × $9.50/hour = $33.25

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t. The period of the circular motion of the alpha particles is closest to 0.11μs.

The period of the circular motion of the alpha particles moving along an in the presence of the magnetic field is given by;

[tex]T = \dfrac{2\pi m}{qB}[/tex]

Alpha particles are accelerated in a cyclotron to a final orbit radius of 0. 50 m. The magnetic field in the cyclotron is 0. 90 t.

We are given;

Mass; m = 6.68 × 10^(-27) kg

Magnetic field;B = 0.90 T

Charge;q = 2e

Now, e is the charge on an electron and it has a value of 1.6 × 10^(-19) C

So, q = 2 × 1.6 × 10^(-19)

q = 3.2 × 10^(-19) C

we know that,

[tex]T = \dfrac{2\pi m}{qB}[/tex]

we have;

[tex]T =\dfrac{ (2\pi \times 6.68 \times 10^{-27})}{(3.2 \times 10^{-19}\times 0.9)}\\T =11.798 \times 10^{-8} s[/tex]

This can also be written as;

T ≈ 0.11 μs

Learn more about cyclotrons;

https://brainly.com/question/17192943

#SPJ4

Answer:

The area of the 3d figure

Step-by-step explanation:

the area of the one of triangle is 8.7

and the reactangle is 5 x 7 = 35

and the big one is 10 x 7 = 70

so 8.7 + 8.7 + 35 + 35 + 70 = 157.4

The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of contacts = 25

Total number of contacts of neighbors = 20

Total number of contacts which is not of the neighbors = 25 - 20 = 5

The probability of call a person not from his neighborhood:

P = 5/25 = 1/5

P = 0.2

Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25

Learn more about the probability here:

brainly.com/question/11234923

#SPJ1

Answer: 1/5 or 0.2

Step-by-step explanation:

Answer:

i think the answer is 4

Step-by-step explanation:

hope it's correct

Answer:

A. 6/10

Step-by-step explanation:

Answer:

the answer is a 6

                          _

                         10

Step-by-step explanation:

Answer:

-63

Find common difference:

nth term:

So 31st term:

Answer:

55

Step-by-step explanation:

since, it is a parallelogram we can find the area easily just by multiplying the base and height

A=bh

A=55m2

Answer:

0.5

Step-by-step explanation:

Half the natural numbers picked are going to be even numbers:  

{2, 4, 6, 8, 10}.  Thus the probability of the picked number being even is 5/10, or 0.5.

Answer:

option c, 20

Step-by-step explanation:

Interquartile range is Q3 - Q1

Q3 is the upper end of the box: 35

Q1 is the lower end of the box: 15

35 - 15 = 20

Answer:

Step-by-step explanation:

[tex]\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=13\\ \theta =115 \end{cases}\implies \begin{array}{llll} s=\cfrac{(115)\pi (13)}{180}\implies s=\cfrac{299\pi }{36} \\\\\\ s\approx 26.09~in \end{array}[/tex]

Answer:

1. Height of the prism= h

2. area of the base= B

3. Perimeter of the base= P

Step-by-step explanation:

Here are what the letters mean:

P = perimeter of the base

h = height of the prism

B = area of the base

The surface area of the rectangular box = the amount of wrapping paper needed to cover the rectangular box = 394.24 in.²

Surface area = 2(wl + hl + hw).

Volume = lwh.

Given the following:

Volume = 476.16 in.³

Length = 4.8 in.

Width = 8 in.

Find the height (h) using the volume formula:

476.16 = 4.8 × 8 × h

476.16 = 38.4 × h

476.16/38.4 = h

h = 12.4 in.

Surface area = 2(wl + hl + hw) = 2(8 × 4.8 + 12.4 × 4.8 + 12.4 × 8) = 394.24 in.²

The amount of wrapping paper needed to cover the rectangular box = Surface area = 394.24 in.²

Learn more about the surface area of rectangular box on:

https://brainly.com/question/13103197

#SPJ1

Answer:

7858

Step-by-step explanation:

hope it helps you bye

An equation that can be used to determine the value of x is x² + 5x - 36 = 0.

To answer the question, we need to know what equations are

An equation is an expression which shows the relationship between two variables.

Given that the x represents the length of side of the square picture and the rectangular sheet poster leaving a border around the picture of 2 inches on the bottom and 1 inch on each remaining sides.

Then,

So, the area of the rectangular sheet poster is A = LW

= (x + 2)(x + 3)

Since the rectangular sheet poster has an area of 42 square inches, A = 42 in².

So, (x + 2)(x + 3) = 42

x² + 3x + 2x + 6 = 42

x² + 5x + 6 - 42 = 0

x² + 5x - 36 = 0

So, an equation that can be used to determine the value of x is x² + 5x - 36 = 0.

Learn more about equations here:

https://brainly.com/question/1884491

#SPJ1

The area of the region which is inside the curve r = -4 sinθ but outside r = 2 will be 4.21 square units

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The region outside the circle r = 2 and inside the circle r = - 4 sinθ.

Then the intersection point will be given as

[tex]\rm 2 = -4 \sin \theta\\\\\theta = 3.66519 ,5.7595[/tex]

Then by the integration, we have

[tex]\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [(-4\sin \theta)^2 - (2)^2] dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [16 \sin ^2 \theta - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [ 8(1- \cos 2\theta -) - 4]dx\\\\\\\rightarrow \dfrac{1}{2} \int _{3.6652}^{5.7595} [4 - \cos 2\theta] dx\\\\\\[/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4\theta + \dfrac{1}{2} \sin 2\theta \right ]_{3.6652}^{5.7595} \\\\\\\rightarrow \dfrac{1}{2} \left [ 4(5.7595 - 3.6652) + 0.5 (0.19969-0.12759) \right ][/tex]

[tex]\rightarrow \dfrac{1}{2} \left [ 4(2.0943) + 0.5 (0.0721) \right ]\\\\\rightarrow \dfrac{1}{2} \left [ 8.41325 \right ]\\\\\rightarrow 4.2066 \approx 4.21[/tex]

Thus, the area of the region is 3.75 square units.

More about the area bounded by the curve link is given below.

brainly.com/question/24563834

#SPJ4

Answer:

100m^2

Step-by-step explanation:

All sides of a square are equal so 10m x 10m = 100m. The answer is 100m^2 because it is a 2D figure.

Answer:

It wont work for me

Step-by-step explanation:

my school computer.

How To Find the surface area for a normal prism

To find the surface area of a prism, use the formula SA=2B+ph, where SA stands for surface area, B stands for the area of the base of the prism, p stands for the perimeter of the base, and h stands for height of the prism.

Explanation: To find surface area of the rectangular prism.

The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

Shapes.

Right rectangular prisms or cuboids are all around us. A few examples are books, boxes, buildings, bricks, boards, doors, containers, cabinets, mobiles, and laptops. Non-examples of a right rectangular prism: This shape is a prism but its top and base do not have right angles in the shape.

HOPE THIS HELPS,

CoDBiarex

Answer:

Mean - 63

Median - 57

The Mean affects the outlier the most.

Step-by-step explanation:

Mean is where u add all the numbers up and then divide them by how many are there. So  50 + 50 + 52 + 57 + 66 + 67 + 99 = 441. There are 7 numbers so 441/7 which equals 63. So mean is 63.

For median u order them least to greatest which is 50,50,52,57,66,67,99. The median is the middle number of this set which is 57.

Outlier is the first number which is 50. So the mean is the answer for which measure does the outlier affect the most bc 63 is bigger than 57 the median. So basically which is a more difference.

Answer:

m = 13

Step-by-step explanation:

51 = m + 2m + 12

3m = 39

m = 13

Area and perimeter of figure be: 562.08 m² and 123.68 m

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The figure comprises of a parallelogram and semicircle.

1. For Area

Area of parallelogram = base x height

                                     = 24 x 14

                                     = 336 m²

Area of semicircle = (π x r²)/2

                               = (3.14 * 12 * 12)/2

                              = 226.08 m²

Total Area of the figure = 336+ 226.08 =562.08 m²

2. Perimeter

Perimeter of parallelogram=  2 (a+b)

                                             = 2 (19 +24)

                                            = 86 m

Perimeter of semicircle= π * r

                                      = 3.14 * 12

                                     = 37.68 m

Total Perimeter of the figure= 86 + 37.68 = 123.68 m

Learn more about perimeter and area is:

https://brainly.com/question/11957651

#SPJ1

Answer:

Answer:

36

Step-by-step explanation:

12 multiplied by 3 is 36

Answer:

B is correct because it has the exact same numbers

Answer:

C

Step-by-step explanation:

Linear functions will be greater than exponential functions at first- however, exponential equations will gradually surpass the linear equation.

Answer:

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Step-by-step explanation:

Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.

First Differences

41 − 18 = 23

67 − 41 = 26

82 − 67 = 15

69 − 82 = −13

17 − 69 = −52

Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.

Second Differences

26 − 23 = 3

15 − 26 = −11

−13 − 15 = −28

−52 − (−13) = −39

Because the second differences of the independent variable are not constant, a quadratic model is not the best model of the data. Check the third differences to see if the data set can be modeled by a cubic function.

Third Differences

−11 − 3 = −14

−28 − (−11) = −17

−39 − (−28) = −11

The third differences are approximately the same so we will use a cubic function to represent the data.

Enter the data into a calculator. Plot the data and find the cubic regression equation that best models the data.

f(x) ≈ −2.42x3 + 15.89x2 − 7.55x + 12

Answer:

false, true, fale

Step-by-step explanation: hi