The model n(T)= 2^t represents the number of bacteria in a petri dish after c hours
where t= 0 represents the time when the bacteria were first put into the dish.
What is the correct value and interpretation of n (10)

Answer:

75

Step-by-step explanation:

Add 81, 74, 72, and 93 together

add 75 to that total

divide by 5

slaves is the correct answer

Answer:

DWest I think

Step-by-step explanation:

Someone else asked this and this is what they think and it seems right

By using the definition of the inverse cosine function, we will see that:

[tex]cos^{-1}(0) = pi/2[/tex]

We have the expression:

[tex]cos^{-1}(0) = \frac{pi}{?}[/tex]

Remember that if:

[tex]cos(x) = y\\\\cos^{-1}(y) = x[/tex]

Then, in what do we need to evaluate the cosine function to get an output equal to zero?

[tex]cos( pi/2) = 0[/tex]

Then:

[tex]cos^{-1}(0) = pi/2[/tex]

Then we can replace the question sign with a 2.

If you want to learn more about the cosine function, you can read:

https://brainly.com/question/8120556

Answer:

133

Step-by-step explanation:

Answer:

g(3) = 24

Step-by-step explanation:

The question is essentially asking you, "With an input of 3, what is the output of the function?" To find g(3), plug "3" into the "x" variable. Then, simplify as much as you can.

g(x) = x³ - x

g(3) = (3)³ - (3)

g(3) = 27 - 3

g(3) = 24

Answer:

$103

Step-by-step explanation:

T = 6w + 55

T = 6(8) + 55

T = 48 + 55

T = 103

The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.

The dot plot is the way of representation of the data. This data is plotted in the form of points or dots over an x-y axis. The dot plot is also known as the strip plot.

The number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is

James filled a number of bags with apples when he went apple picking. He recorded the weight of each bag. This line plot shows his results.

In the line plot, in the 6th section, we get the highest value as 5 1/2. Similarly, the lowest value in the line plot is 4 1/4.

The difference between these values is,

[tex]d=5\dfrac{1}{2}-4\dfrac{1}{4}\\d=\dfrac{5\times2+1}{2}-\dfrac{4\times4+1}{4}\\d=\dfrac{10+1}{2}-\dfrac{16+1}{4}\\d=\dfrac{11}{2}-\dfrac{17}{4}\\d=\dfrac{11\times2-17}{4}\\d=\dfrac{5}{4}[/tex]

Thus, the number of more does one of the heaviest bags weigh than one of the lightest bags filled by James with apples is 5/4.

Learn more about the dot plot here;

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length = 3 1/3 m

hope it helps...!!!

Answer:

101430

Step-by-step explanation:

A square root cannot be equl to a negative.

answer: C. 0

Answer:

x = 3.25

Step-by-step explanation:

-2(x - 2) * 2 + 5 = 0

Open parathesis

(-2x + 4) * 2 + 5 = 0

Open parenthesis again

-4x + 8 + 5 = 0

-4x + 13 = 0

-4x = -13

Divide -4 on both sides

x = 13/4

x = 3.25

Answer:

-4x+8+5=0

-4x=-13

4x=13

x= 13/4

x=3.25

Answer:

Option C, no real solutions

Step-by-step explanation:

Step 1:  Subtract 140 from both sides

[tex]25z^2 + 140 = -29[/tex]

[tex]25z^2 + 140 -140 = -29 -140[/tex]

[tex]25z^2 = -169[/tex]

Step 2:  Divide both sides by 25

[tex]\frac{25z^2}{25} = \frac{-169}{25}[/tex]

[tex]z^2 = -6.76[/tex]

Step 3:  Square root both sides

[tex]\sqrt{z^2} = \sqrt{-6.76}[/tex]

Since we are trying to square root a negative it would cause imaginary solutions so in conclusion we have no real solutions.

Answer:  Option C, no real solutions

Evaluate 5(a•4)+ b, when a = 1/3 and b=12

The Answer is

hope it's help hshshs

Answer: 1, 15families, 26cars, Mean 1.7

Step-by-step explanation:2families had no car. 5families had 1 car, 4families had 2cars, 3families Had 3cars, 1 family had 4cars

Total 15families and 26 cars

Modal number of cars is 1, owned by 5families

Answer:  [tex]92 \text{ yd}^2[/tex]

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

Work Shown:

[tex]A = \frac{h(b_1+b_2)}{2}\\\\A = \frac{8(19+4)}{2}\\\\A = \frac{8(23)}{2}\\\\A = \frac{184}{2}\\\\A = 92\\\\[/tex]

The [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel bases, while h is the height perpendicular to each base.

The units are in square yards, abbreviated as [tex]\text{yd}^2[/tex]

Think of a 1 yard by 1 yard square that has an area of [tex](1 \text{ yd})*(1 \text{ yd}) = (1)^2(\text{yd})^2 = 1 \text{ yd}^2[/tex]

The side of 9 yards is never used and put in there as a distraction.

Answer:

Vertex: (3,5)

Focus: (3,8)

Directrix: y = 2

Step-by-step explanation:

Get y by itself by adding 5 over to the other side. The equation is now y = 1/12(x-3)^2 + 5.

The value inside of the parentheses is -3. Since it's within the parentheses, switch the signs for the x value of the vertex. The "+ 5" represents the y value. Therefore the vertex is (3,5).

The value "a" on the parabola is 1/12. To find the distance from the vertex to the focus/directrix, use the equation a = 1/4p. 1/12 = 1/4p. p = 3. This parabola opens up, so "p" must be added onto the y value of the vertex for the focus. The focus is therefore (3,8).

For the directrix, subtract "p" from the y value of the vertex. The directrix is a horizontal line at y = 2.

Answer:

almonds: $10.20

cashews: $12.40

Step-by-step explanation:

The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"

System of equation are made of two or more equations with unknowns

Given the system of equation

4x=5-2y

y-2x=7

From equation 2:

y = 7 + 2x

The expression y = 7 + 2x can be substituted into the first equation to find the variable "x"

Learn more on system of equation here: https://brainly.com/question/14323743

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Answer:

About 53022 bacteria present.

Step-by-step explanation:

We can use the continuous growth formula:

[tex]\displaystyle P = A e^{kt}[/tex]

Where k is some constant.

With an initial population of 5000, it grew to 6500 after two hours.

In other words, P = 6500 when A = 5000 and t = 2:

[tex]\displaystyle (6500) = (5000)e^{k(2)}[/tex]

Solve for k:

[tex]\displaystyle \begin{aligned} 6500 & = 5000e^{2k} \\ \\ e^{2k} & = \frac{6500}{5000} = \frac{13}{10} \\ \\ \ln\left(e^{2k}\right) & = \ln\left(\frac{13}{10}\right) \\ \\ 2k & = \ln\frac{13}{10} \\ \\ k & = \frac{1}{2}\ln\frac{13}{10}\end{aligned}[/tex]

Therefore, our equation is:

[tex]\displaystyle P = \bigg{5000e}^{\dfrac{1}{2}\ln\dfrac{13}{10}t[/tex]

After 18 hours, t = 18. Hence:

[tex]\displaystyle \begin{aligned} P(18) & = \bigg{5000e}^{\dfrac{1}{2}\ln\dfrac{13}{10}(18)} \\ \\ & \approx 53022\end{aligned}[/tex]

Therefore, after 18 hours, there will be about 53022 bacteria present.

Answer:

step by step lang Po keep learning

Answer:

14.48=11.99+y

or

y=14.48-11.98

Step-by-step explanation:

it should be one of these (the variable might be different)

y is the price of the drink

Answer:

38

Step-by-step explanation:

16 - 10 = 6

21 - 16 = 5

26 - 21 = 4

31 - 26 = 5

31 + 6 = 38

The next missing number is 38.

From there, continue the pattern.

Answer:

b

Step-by-step explanation:

Answer:

122 miles

Step-by-step explanation:

Let n = number of miles driven

Given:

⇒ 14.95 + 0.95n = 130.85

Subtract 14.95 from both sides:

⇒ 0.95n = 115.90

Divide both sides by 0.95

⇒ n = 122

Therefore, he drove 122 miles.

Answer:

n = - 19

Step-by-step explanation:

8n - 9n - 2 = 17 , that is

- n - 2 = 17 ( add 2 to both sides )

- n = 19 ( multiply both sides by - 1 )

n = - 19

Answer:

c = 12.73

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + 9^2 = c^2

81 + 81 = c^2

162 = c^2

c = [tex]\sqrt{162}[/tex]

c = 12.7279221

c = 12.73

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