the number n of bacteria in a culture is given by the model n = 175ekt, where t is the time in hours. if n = 420 when t = 8, then estimate the time required for the population to double in size.

73/100

Is 0.73 as a simplified fraction

-2 is the slope if that's what's asked ?

Answer:

x>2

Step-by-step explanation:

Answer:

Each friend paid $5 for parking.

Step-by-step explanation:

\(23.5\) - \((6.75\)\((2)\)\()\) = \(10\)

\(10\) ÷ \(2 = 5\)

I'm not sure about the rest of the question.

The function that is linear is the function that is a straight line

A linear function can be identified on a graph by its shape.

A linear function will always have a straight line.  So, if the graph of several functions, then the linear function would be a straight line.

To confirm that it is a linear function, you can check if it has the form y = mx + b, where m and b are constants.

In this form, m represents the slope of the line, which is a measure of how steep the line is.  and b is the y-intercept

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Answer:

The answer is 2.)

Step-by-step explanation:

Given initial velocity=135 ft/s

& cliff=76 foot

Given quadratic equation

⇒                      (let h=0 it is given)

⇒  

⇒  

⇒    t=8.96≈9 s (the other root is negative)

Hence, rocket will take 9 s to hit the ground after launched.

Answer:  Choice D

0 = 16t^2 + 135t + 76;  9 s

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

Explanation:

The equation we start with is

\(h = -16t^2 + vt + c\\\\\)

where v is the starting or initial velocity, and c is the starting height.

We're told that v = 135 and c = 76

We let h = 0 to indicate when the object hits the ground, aka the height is 0 ft.

That means the equation updates to \(0 = -16t^2 + 135t + 76\\\\\)

Based on that alone, the answer is between A or D

-------------------

We'll use the quadratic formula to solve for t

We have

So,

\(t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\t = \frac{-135 \pm \sqrt{135^2 - 4(-16)(76)}}{2(-16)}\\\\t = \frac{-135 \pm \sqrt{23,089}}{-32}\\\\t \approx \frac{-135 \pm 151.9506}{-32}\\\\t \approx \frac{-135 + 151.9506}{-32} \ \text{ or } \ t \approx \frac{-135 - 151.9506}{-32}\\\\t \approx \frac{16.9506}{-32} \ \text{ or } \ t \approx \frac{-286.9506}{-32}\\\\t \approx -0.52971 \ \text{ or } \ t \approx 8.96721\\\\\)

We ignore the negative t value because a negative time duration makes no sense.

The only practical solution here is roughly 8.96721 which rounds to 9.0 or simply 9 when we round to the nearest tenth (one decimal place).

In short, the object will hit the ground at the 9 second mark roughly. Or put another way: the object is in the air for about 9 seconds.

From this, we can see that the final answer is choice D.

Keep in mind that we aren't accounting for any wind resistance. Considering this variable greatly complicates the problem and requires much higher level mathematics. So we just assume that there is no wind at this moment.

Answer:

x=6

Step-by-step explanation:

/AB/=2x+12

/BC/=5x+10

3x+2=5x-10 subtract 2 from both sides

3x=5x-12 subtract 5x from both sides

-2x=-12 divide both sides by -2x

x =6

Answer:

x = 2, y = -1.

Step-by-step explanation:

2x - 5y = 9

3x + 4y = 2

Multiply first equation by -3 and the second by 2:

-6x + 15y = -27

6x + 8y = 4            Adding the 2 equations:

23y = -23

y = -1.

Now substitute this value for y in the first equation:

2x - 5(-1) = 9

2x = 9 +5(-1)

2x = 9 - 5

2x = 4

x = 2.

Answer:

24°

Step-by-step explanation:

Complementary angles are the angles whose measurements equal to 90°

To find the complement of 66 you subtract it from 90

90 - 66 = 24

The probability of randomly selecting one shirt, one pair of shorts and one pair of socks from the drawer is  1/14,400.

Let S, Sh and So represent the event that one shirt, one pair of shorts and one pair of socks are randomly selected from the drawer.

The probability of randomly selecting one shirt, one pair of shorts and one pair of socks from the drawer is given by P(S∩Sh∩So). This is given by the following formula:

P(S∩Sh∩So) = P(S) × P(Sh) × P(So)

The total number of articles of clothing in the drawer is 4 shirts, 5 pairs of shorts and 6 pairs of socks. Thus the total number of possible outcomes when randomly selecting 3 articles of clothing is 4 × 5 × 6 = 120.

The probability of randomly selecting one shirt is P(S) = 4/120 = 1/30.

The probability of randomly selecting one pair of shorts is P(Sh) = 5/120 = 1/24.

The probability of randomly selecting one pair of socks is P(So) = 6/120 = 1/20.

Therefore, the probability of randomly selecting one shirt, one pair of shorts and one pair of socks from the drawer is given by P(S∩Sh∩So) = (1/30) × (1/24) × (1/20) = 1/14,400.

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To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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Answer:

There are 3 numbers greater than 7 on this spinner:  8, 9 and 10.  Mariah wrote 4 instead of 3, which makes her probability higher.  

She should have:

3/10(250) = 750/10 = 75

Answer:

equation calculator help u out

Answer:

y = 27.5

Step-by-step explanation:

120 (x) - 55 (y) = 65

65 / 2 = 32.5

60 - 32.5 = 27.5

x = 60 and y = 27.5

I really hope this helps...

Answer: 3 hours and 36 minutes

Step-by-step explanation:

720/400 = 1.8

1.8*2 = 3.6

3.6 hours = 3 hours and 36 minutes

Answer:

30:15 simplifies to 2:1

Step-by-step explanation:

30 hours spent using electronic devices and 15 spent playing sports. 30 divided by 15 = 2 and 15 divided by 15 = 1.

Answer:

2 is the number of hours using electronic devices :

1 hours playing sports

Also known as 2:1

Step-by-step explanation:

The first step is to simplify the ratio of hours using electronic devices to hours playing sports, which is 30 : 15

30 : 15

If I divide each number by 5 to simplify you get:

6 : 3

Then we divide each number by 2 to simplify:

2 : 1

That is how you get the answer for the ratio of 2:1.

I hope I helped and have a great day! ^-^

3 × 17 over 17 × 21 with the first as numerator and second one as denominator

We can see that both the 17 can nullify so we are left with ³/21 and simplify to get ¹/7

The expression, simplified to its lowest form is \(\frac{1}{7}\)

From the question,

We are to evaluate  3/17 x 17/21

First, we will write the expression properly

The expression can be written as

\(\frac{3}{17} \times \frac{17}{21}\)

The expression can be evaluated as shown below

\(\frac{3}{17} \times \frac{17}{21}\) becomes

\(\frac{3 \times 17}{17 \times 21}\)

Simplifying, we get

\(\frac{3}{21}\)

Further simplification gives

\(\frac{1}{7}\)

Hence, the expression, simplified to its lowest form is \(\frac{1}{7}\)

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Answer:

\(x = 40.\)

Step-by-step explanation:

\(if \: \: y = kx \: then \\ k = y \div x \: and \: x = y \div k \\ so \: k = 0.6 \: and \: x = 40 \: when \: y \: is \: 24.\)

Answer:

the fraction would be 34/49

Step-by-step explanation:

this is because the question is asking amount of peanut butter cookies over the total amount of cookies

He will pick a sample of seniors in this instance.

Given statement,

Dr. Stuart wants to study whether there is a relationship between the number of hours a high school senior spends on social networking sites and their grade point average. he obviously cannot study every 12th grader, so instead, he will select a smaller of seniors to study.

→ In this case he will select a sample of seniors.

→ Dr. Stuart is interested in determining whether there is a correlation between a high school senior's grade point average and the number of hours spent on social networking sites. He will instead choose a smaller sample of seniors to study because he certainly cannot study every student in the 12th grade.

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The volume of the cube with a side length of 5 millimeters is 125,000 cubic millimeters. The new function for the volume of the cube with cubic millimeters as the unit is v(x) =

\(1000x^3\)

To convert from cubic centimeters to cubic millimeters, we need to multiply by 1000 (since 1 cubic centimeter = 1000 cubic millimeters). Therefore, the new function v(x) multiplies the original function V(x) by 1000.

For example, if we want to find the volume of a cube with a side length of 5 millimeters, we can use the new function v(x) as follows: v(5) =

\(1000(5^3)\)

= 1000(125)

= 125,000 cubic millimeters.

To convert a function from cubic centimeters to cubic millimeters, we need to multiply the function by 1000. The new function for the volume of a cube in cubic millimeters is v(x) =

\(1000x^3\)

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Answer:

24.5kg

Step-by-step explanation:

The largest possible weight is also known as the upper bound which is the largest possible number that would round to 24kg

this would equal to 24.4999999999999...

but to simplify we just round to 24.5

When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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When  \(x^3\)+4x-24 is divided by x-2 then the remainder is -8.

What is remainder theorem?

 Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder. The remainder theorem asserts that when a polynomial p(x) is divided by (x - a), the remainder equals f. (a). Using Euclid's Division Lemma, this may be demonstrated. To put it another way, p(x) = q(x) (x - a) + r if q(x) is the quotient and 'r' is the remainder.

Here the given \(x^3\)+4x-24 and x-2

When a function f(x) is divided by x+a, then the remainder is given by f(−a):

So, in this case remainder will be f(2) .

=> f(x)= \(x^3\)+4x-24

put x=2 then

=> f(2)= \(2^3\)+4(2)-24

=> f(2) =8+8-24

=> f(2) = 16-24 =-8

Hence the remainder is -8.

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what are the situations? tell me and i will gladly help you! :)

Answer:

The situation that is represented is 24 ÷ 6 which equals 4

Step-by-step explanation:

- Events A, B, C, and D are exhaustive.
- Events A and B, B and D are not mutually exclusive.
- Events A and C, C and D, A and D are mutually exclusive.

To determine whether the events are exhaustive or mutually exclusive, we need to understand the definitions of these terms:
1. Exhaustive events: Events are considered exhaustive if the union of all the events covers the entire sample space S. In other words, there are no outcomes in the sample space that are not included in any of the events.
2. Mutually exclusive events: Events are considered mutually exclusive if they have no outcomes in common. In other words, the events cannot occur simultaneously.
Now let's analyze the given events:
A = {1, 2, 4}
B = {1, 2, 4, 5, 6}
C = {5, 6}
D = {2, 3, 6}
To determine if the events are exhaustive, we need to check if their union covers the entire sample space S.
The union of A, B, C, and D is {1, 2, 3, 4, 5, 6}, which covers the entire sample space S. Therefore, the events A, B, C, and D are exhaustive.

To determine if the events are mutually exclusive, we need to check if any outcomes are shared between the events.
The outcomes 1, 2, and 4 are shared between events A and B. Therefore, events A and B are not mutually exclusive.
The outcomes 2 and 6 are shared between events B and D. Therefore, events B and D are not mutually exclusive.
No outcomes are shared between events A and C, C and D, or A and D. Therefore, events A and C, C and D, and A and D are mutually exclusive.

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Answer: total 480 liters of ice creams is in the cartons

Step-by-step explanation: cuz yea

Answer:

8000

Step-by-step explanation:

The relationship between the data, the line and the unit price of apples of $1.50 per pound is best represented by option C Graph.

What is the slope of a line?

The slope of a line is the tangent of the angle that the line makes with the positive direction of the x-axis. It signifies the rise in the y-variable for a unit change in the x-variable.

If the line passes through the points (x, y) and (x, y), then the slope of the line, m = (y - y)/(x - x).

(2, 3) representing the purchase by Logan,

(5, 7.5) representing the purchase by Lin,

(3, 4.5) representing the purchase by Chita.

The unit price can be calculated by the slope of the line;

m = (7.5 - 4.5)/(5 - 3) = 3/2 = 1.5.

Hence, The relationship between the data, the line and the unit price of apples of $1.50 per pound is best represented by option C Graph.

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The problem provides a table showing the probability of a salesperson making a certain number of sales per day. We are asked to find the expected sales per day, the variance, and the standard deviation of the number of sales.

The expected sales per day is the sum of the products of the number of sales and their corresponding probabilities. The variance is a measure of how much the number of sales varies from the expected value, and it is calculated as the sum of the squared differences between each value and the expected value, multiplied by their corresponding probabilities.

Finally, the standard deviation is the square root of the variance.

In summary, the problem involves using probability to find the expected value, variance, and standard deviation of a random variable representing the number of sales made by a salesperson in a day.

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