please help me please

Given:

The growth of a sample of bacteria can be modeled by the function

[tex]b(t)=1001.06t[/tex]

where, b is the number of bacteria and t is time in hours.

To find:

The number of total bacteria after 3 hours.

Solution:

We have,

[tex]b(t)=1001.06t[/tex]

where, b is the number of bacteria and t is time in hours.

Substituting t=3, we get the number of total bacteria after 3 hours.

[tex]b(3)=1001.06(3)[/tex]

[tex]b(3)=3003.18[/tex]

Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.

[tex]b(3)\approx 3003[/tex]

Therefore, the number of total bacteria after 3 hours is about 3003.

Answer:

y=x+3

Step-by-step explanation

The slope intercept form equation is y=mx+b. m is the slope and b is the y intercept. In this scenario, plug it back in to m and b. m=1 and b=3 so it would be y=1x+3. However, we don't include the one so it would just be y=x+3

The total area of office that the small business needs to carpet is 174ft^2

The area of the rectangle is the region enclosed by the perimeter of the rectangle and is equal to product of length and width. The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'.

So, the Area of Rectangle = (a × b) square units.

The area of a rectangle is length ✕ width.

So, width = area/length

length = 7.2 ft

width = 5.8ftnumber of office = 4

Area of one office = 7.2 * 5.8 Area of one office = 43.5ft^2

The total area of the four offices will be 43.5 * 4 = 174ft^2

Learn more on area of a rectangle here;

https://brainly.com/question/25292087

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The above question is incomplete

Complete Question

Maurice takes a roast out of the oven when the internal temperature of the roast is 165°F. After 10 minutes, the temperature of the roast drops to 145°F.

The temperature of the room is 72°F.

How long does it take for the temperature of the roast to drop to 120°F?

Answer:

27.3143 minutes

Step-by-step explanation:

Using the Newton's law of cooling: The formula is given as:

T (t) = T₀ + T₁ e^ (rt)

Where

T₀ = Original temperature of the room (°F) ; 72°F

T₁ = Temperature of the roast (°F)

This is calculated as:

165 - 72 =93°F

r = Rate of cooling (°F/min)

t = time (min)

Substituting the values, we can obtain:

T (t) = 72 + 93 e ^rt

Step 1

We solve for r

From the question, we know that: the temperature dropped to 145°F after 10 minutes,

t =10 mins and T(10) = 145 °F

Substituting

T(10) = 72 +93 e^10r

145 = 72 + 93 e^10r

145 - 72 = 93 e^10r

Divide both sides by 93

(145-72)/93 = e^(10r)

We take the natural logarithm of both the left and right hand sides

In [(145-72)/93 ] = In (e^10r)

In [(145-72)/93 ] = 10r

-0.24214 =10r

r = -0.24214/10

r = -0.02421 °F/min

Substituting into

-0.02421 °F/min for r in the Equation below

T (t) = 72 + 93 e ^rt

T (t) = 72 + 93 e^ (-0.024214t)

To find the time taken to reach 120°F, we substitute into equation

120 = 72 +93 e^(-0.024214 ×t)

(120-72)= 93 e^ (-0.024214t)

Divide bother sides by 93

[(120-72)/93] = e^-0.024214t

We take the natural logarithm of both sides

In[(120-72)/93] = In(e^-0.024214t)

-0.66139 = -0.024214t

Divide both sides by -0.024214t

t = -0.66139/ -0.024214

t =27.3143 minutes

Answer:

If the population increases by 1.7% every year then

1994 population = 1993 population * .017 + 1993 population

1994 population = 5,491,800

Answer is "d".

Step-by-step explanation:

Answer:

what are the answer questions?

Step-by-step explanation:

?????????????

Answer:

Step-by-step explanation:

f(x) = 4x - 12

f(2) = 4*2 - 12

f(2) = 8 - 12

f(2) = - 4

Jim bought a meal in a town that has no sales tax. He tlps 15%. All the meals Jim could buy for less than or equal to $30 total are $20.54 meal and $26.08 meal.​

Answer:

You can actually draw both points in a graph to find out as it makes it easier to understand. Or you could think, if C has moved from (0,0) to (-2,3). It means it moves to the left of the x axis by 2, then moves up by 3 on the y axis.

So point P should move the same way. (-3, 4) move by -2 on the x axis would make it -5, and for y you go up 3 steps so 4+3=7 making P's final location (-5,7)

Answer:

$13.53

Step-by-step explanation:

78% off means you are paying only 22% of 61.50

.22 x 61.50 = 13.53

or

find 78% of 61.50 (it's 47.97) and deduct that value from 61.50

Answer:

12

Step-by-step explanation:

See attached picture. We have a 3x3x3 cube. If we cut it into 27 cubes, we will end up with a rubik's cube like cube. Each of the small cubes will measure 1x1x1. So if we pay close attention to the cube, we will see that only the cubes on the edges will have two of its faces painted in two colors. We can think of the cube as having three layers. Each of the layers will have 4 edge cubes, so we will have in total:

3x4=12 cubes that will have only two of its faces with paint on them.

Answer:it’s A

Step-by-step explanation:

I got It right on test

mean=30

Step-by-step explanation:

mean=Efx/n

=300+p/10+p

= 30(10+p)/10+p

=30

Answer:

Step-by-step explanation:

25% of $60 is:

She saved $15 so far

Answer:

7/12

Step-by-step explanation:

14/24 people have an a divide by 2 to simplify

Answer:

60,949,324,800

Step-by-step explanation:

We solve the above question using Permutation formula

The formula for Permutation =

nPr = n!/(n - r)!

Total Amount in a Set (n) = 20 persons

Amount in each Sub-Set (r) = 9 batting order

Hence:

20P9 = 20!/(20 - 9)!

= 60,949,324,800

Therefore, the different batting orders they would have are: 60,949,324,800

Answer:

6.5

Step-by-step explanation:

Answer:

The equation of the line passes through (3, -2) and parallel to the given line:

The equation of the line passes through (3, -2) and perpendicular to the given line:

Step-by-step explanation:

Given the points on the graph line

(2, -1)

(1, -4)

Finding the slope between (2, -1) and (1, -4)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)[/tex]

[tex]m=\frac{-4-\left(-1\right)}{1-2}[/tex]

[tex]m=3[/tex]

Equation of the line passes through (3, -2) and parallel to the given line.

We know that parallel lines have the same slope.

so the equation of the line parallel to the given line = 3

Thus, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (3, -2)

[tex]y - (-2) = 3(x-3)[/tex]

[tex]y+2 = 3x-9[/tex]

[tex]y = 3x-9-2[/tex]

[tex]y = 3x-11[/tex]

Therefore, the equation of the line passes through (3, -2) and parallel to the given line:

[tex]y = 3x-11[/tex]

The equation of the line passes through (3, -2) and perpendicular to the given line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Therefore, substituting the values of perpendicular slope = -1/3 and the point (3, -2) in the point-slope form of the line equation

[tex]y-\left(-2\right)=-\frac{1}{3}\left(x-3\right)[/tex]

[tex]y+2=-\frac{1}{3}\left(x-3\right)[/tex]

subtract 2 from both sides

[tex]y+2-2=-\frac{1}{3}\left(x-3\right)-2[/tex]

[tex]y=-\frac{1}{3}x-1[/tex]

Therefore, the equation of the line passes through (3, -2) and perpendicular to the given line:

[tex]y=-\frac{1}{3}x-1[/tex]

Conclusion:

The equation of the line passes through (3, -2) and parallel to the given line:

The equation of the line passes through (3, -2) and perpendicular to the given line:

Answer:

The volume of the top toy is 67.1175 cubic feet

Step-by-step explanation:

The toy top is a composite figure of a cylinder and an hemisphere, the volume of the figure is therefore, the sum of the volume of the cylinder and the hemisphere

The dimensions of the cylinder are;

The height of the cylinder = 6 feet

The diameter of the cylinder, [tex]D_{cylinder}[/tex] = 1.5 feet

Therefore, the radius of the cylinder, [tex]r_{cylinder}[/tex]= 1/2 × [tex]D_{cylinder}[/tex] = 1/2 × 1.5 ft. = 0.75 ft.

The volume of the cylinder = Area of the base × Height =  π × [tex]r_{cylinder}^2[/tex] × (The height of the cylinder)

Where;

π = 3.14

∴ The volume of the cylinder = 3.14 × (0.75 ft.)² × 6 ft.= 10.5975 ft.³

The dimensions of the hemisphere are;

The diameter of the hemisphere, [tex]D_{hemispher}[/tex] = 6 feet

Therefore, the radius of the hemisphere, [tex]r_{hemisphere}[/tex]= 1/2 × [tex]D_{hemispher}[/tex]  = 1/2 × 6 ft. = 3 ft.

The volume of the hemisphere = 2/3×π×[tex]r_{hemisphere}^3[/tex]

∴ The volume of the hemisphere = 2/3 × 3.14 × (3 ft.)³ = 56.52 ft.³the

The volume of the top toy = The volume of the cylinder + The volume of the hemisphere

∴ The volume of the top toy = 10.5975 ft.³ + 56.52 ft.³ = 67.1175 ft.³.

Answer:

a is the awnsers don't ask why

Answer:

60,260,360

Step-by-step explanation:

pretty sure this is it PLEASE GIVE ME BRAINLIEST IM DESPERATE

Answer:

See below

Step-by-step explanation:

I think ratio is different, it should be 9:13:18

I'll answer both options

Shares are:

Shares are:

Answer:

Theory

Step-by-step explanation:

The theory refers to an explanation of something. It should be understandable also it contains some logic behind that

It is a formal, logical for events that involved the descriptions that related the things to one another

Therefore the above represent the theory

Hence, the same is to be considered

Answer:

25%

Step-by-step explanation:

[tex]percentage \: loss \\ \\ = \frac{28 - 21}{28} \times 100 \\ \\ = \frac{7}{28} \times 100 \\ \\ = \frac{1}{4} \times 100 \\ \\ = 25\% [/tex]

Answer:

19.9 is the answer

Step-by-step explanation:

10 percent of 199 is 19.9

Answer:

whats up

Step-by-step explanation:

Answer:

With what?

Step-by-step explanation:

Answer:

8 > -8.       -1 > -12

Step-by-step explanation:

8 would be larger because its positive.... and -1 would be larger becasue it is closer to the positives

Given that,

Length of 4 pieces of wood are 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.

To find,

The length of the strip of wood.

Solution,

Mark glues together four pieces of wood to make one long strip.

Long strip = The sum of 16.75 inches, 9 inches, 24.25 inches, and 12.5 inches.

L = 16.75 + 9 + 24.25 + 12.5

= 62.5 inches

Hence, the strip of wood is 62.5 inches long.

Answer:

B

Step-by-step explanation:

1.5*2.5 = 3.75

15/4 = 3.75