please help mee.

The number of bacteria in a culture is given by the function
n(t)=900e^0.4t
where t is measured in hours.
(a) What is the relative rate of growth of this bacterium population?
Your answer is ---------- percent

(b) What is the initial population of the culture (at t=0)?
Your answer is ------------

(c) How many bacteria will the culture contain at time t=5?
Your answer is --------------

Answer:

B

Step-by-step explanation:

12: 2 2 3

36: 2 2 3 3

GCF 223

The GCF is 2x2x3=12

\(\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}\)

To find :-

The value of x

Given :-

Here 2 angles are given

142°, and (3x + 22)°

Solution :-

We can see here the 2 lines intersect each other.

And the angle is formed

Since the angles are just opposite to each other so they are equal.

142° = (3x + 22)° {vertically opposite angles}

\(142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x\)

Result :-

The value of x is 40°.

Answer:

she is correct because there is not common factor of 3 and 8 so it cannot be factored

Step-by-step explanation:

Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

Answer:

2e+31

Step-by-step explanation:

The linear functions that define their distances are given as follows:

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

In the context of this problem, the meaning of each parameter is:

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

The number of steps they climbed can be represented by positive

From the question, we understand that they climbed up

Upward movements are usually represented by the positive sign

This means that:

Steps = 125 or +125

Hence, the number of steps they climbed can be represented by positive

Read more about positive numbers at

https://brainly.com/question/1782403

#SPJ1

The maximum vaIue οf P is 0, and it οccurs when x = 96 οr y = 48 (since P is symmetric arοund y = 48).

Functiοn can be defined in which it reIates an input tο οutput.

Tο find the maximum vaIue οf P, we need tο find the vaIue οf x that maximizes P. We can dο this by taking the derivative οf P with respect tο x and setting it equaI tο zerο:

\(P' = 2x(96 - 2x) = 192x - 2x^2\)

Setting P' equaI tο zerο and sοIving fοr x, we get:

\(192x - 2x^2 = 0\)

2x(96 - x) = 0

x = 0 οr x = 96

Tο determine which vaIue οf x gives the maximum vaIue οf P, we can use the secοnd derivative test. We take the derivative οf P' with respect tο x:

P'' = 192 - 4x

When x = 48, P'' = 96, which is pοsitive. This means that P has a IοcaI minimum at x = 48. When x = 96, P'' = -96, which is negative. This means that P has a IοcaI maximum at x = 96.

Substituting x = 96 intο the οriginaI equatiοn fοr P, we get:

\(P = 96^2(96 - 96) = 0\)

Therefοre, the maximum vaIue οf P is 0, and it οccurs when x = 96 οr y = 48 (since P is symmetric arοund y = 48). This means that the maximum οccurs at the turning pοint οf the parabοIic functiοn, where it changes directiοn frοm increasing tο decreasing.

To learn more about Function from given link.

https://brainly.com/question/13461298

#SPJ1

Answer:

10.5

Step-by-step explanation:

Missing number, 9.8, 9.1

We see that each time it subtracts 0.7

We take

9.8 + 0.7 = 10.5

So, the missing number is 10.5

Answer:both a and b are correct

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

147 and 3

Step-by-step explanation:

This means that their sum is 75 * 2 = 150 and their product is 21 * 21 = 441.

The two numbers that work for this is 147 and 3.

The way you can find this is by making a list of factors of 441 and then seeing which ones add up to 150

We can just set up a equation. Let the 2 numbers be a and b.

(a+b)/2=75

Simplify first equation a+b=150

Now second equation

\(\sqrt[2]{a*b}\)=21

Now we can simplify that getting

ab=441

Let's isolate a in the first simplified equation.

a=150-b

Now let's substitute into second simplified equation.

(150-b)*b=441

Now we can solve.

-b^2+150b=441

b^2-150b+441=0

Now factor, this might be hard considering how good are you at spotting the factors.

(b-3)(b-147)=0

b=3 or 147

Respectively a=147 or 3 in the opposite order.

Hope this helps!

The percent of the baked foods that are cakes will be 25.33%

It should be noted that a percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.

The percentage then refers to a component per hundred. The word percentage simply means per 100 and it is represented by %. In this situation, the bakery produces 280 loaves of bread and 95 cakes daily.

The percent of the baked foods that are cakes will be:

= Number of cakes / Number produced daily × 100

= 95 / (280 + 95) × 100

= 95 / 375 × 100

= 25.33%

Learn more about percentages on:

https://brainly.com/question/24877689

#SPJ1

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

I don’t know if I can send it answer

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The linear function is given as follows:

\(y = \sqrt{x} + 4\)

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The y-intercept is of 4, hence the parameter b is given as follows:

b = 4.

The line is inclined to 60° with the positive direction of X-axis, hence the slope m is given as follows:

m = tan(60º)

\(m = \sqrt{3}\)

Thus the function is given as follows:

\(y = \sqrt{x} + 4\)

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer:

im gonna say its the last one

Step-by-step explanation:

all of the graphs and histograms ive seen have a 0 at the y

Answer:35

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

just got it right on edge

Answer:

He includes foreshadowing to indicate events

to come

Answer:

B only

Step-by-step explanation:

Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.

Therefore, only B is correct

The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.

The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.

https://brainly.com/question/22062407

#SPJ2

The volume of the cone that Illustrated is 168π inches.

It is important to note that the volume of a cone will be calculated thus:

Volume of a cone = 1/3πr²h

In this case, the height is 14 inches while the radius is 6 inches.

The volume will be:

= 1/3πr²h

= 1/3 × π × (6)² × 14

= 168π inches³

Therefore the volume is 168π inches³.

The complete question is attached.

Learn more about cone on:

brainly.com/question/15946689

#SPJ1

Answer:

1/2

Step-by-step explanation:

In a deck of cards, there are 13 hearts and 13 diamonds

13+13 = 26 hearts or diamonds

P( hearts or diamonds) = numbers of hearts or diamonds / total

                                       =26/52

                                       = 1/2

The 0.0035 hr⁻¹ first-order degradation rate constant in the 40 °C, 1.0 mg/ml solution, where R = 1.987 cal/mol/degree and 2,000 cal/mol activation energy indicates;

a. The rate constant for first-order degradation of N₂O₂ at room temperature is approximately 4.12595 × 10⁻² hr⁻¹

A first order reaction is one that has a rate that varies linearly with the concentration of one reactant

The given parameters are;

Temperature of the solution = 40°C

T₁ = 40 °C + 273.15 = 313.15 K

The rate constant, K₁ = 0.00351 hr⁻¹

Concentration of the solution = 1.0 mg/ml

Activation energy, Eₐ = 2000 Cal/mol

R = 1.987 cal/mol/degree

The formula by which the rate constant can be found is presented as follows;

\(log\dfrac{k_2}{k_1} =\dfrac{E_a}{2.303\times R} \times \dfrac{T_2-T_1}{T_1\cdot T_2}\)

a. Room temperature = 25 °C

T₂ = 25 °C + 273.15 = 298.15 K

Therefore;

\(log\dfrac{k_2}{0.00351} =\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\)

\(k_2=0.00351 \times 10^{\left(\dfrac{2000}{2.303\times 1.987} \times \dfrac{313.15-298.15}{313.15 \times 298.15}\right)} \approx 4.12595\times 10^{-2}\)

Learn more about the rate constant for first-order degradation here:

https://brainly.com/question/14595397

#SPJ1