179 to the power of 179

The population of the bacteria culture can be modeled using the differential equation dp/dt = 0.2p, where p(t) is the population at time t. Solving this differential equation, we get p(t) = 20e^(0.2t). Thus, the population of the bacteria after 40 days is approximately 363.9.

(1) To find the population after 40 days, we simply plug in t = 40 into the equation: p(40) = 20e^(0.2*40) = 104857.6. Therefore, the population after 40 days is 104857.6 (do not round).
(2) To find the time it takes for the population to double, we set p(t) = 2*20 = 40 (since the initial population is 20) and solve for t:
40 = 20e^(0.2t)
2 = e^(0.2t)
ln(2) = 0.2t
t = ln(2)/0.2 ≈ 3.5
Therefore, it takes approximately 3.5 days for the population to double.
To find the population of a culture of bacteria after a certain time period, we can use the formula for exponential growth: p(t) = p0 * e^(rt), where p0 is the initial population, r is the growth rate, and t is the time in days.
(1) To find the population after 40 days, we can plug the given values into the formula: p(40) = 20 * e^(0.2*40). Solving for p(40), we get p(40) ≈ 363.933.
(2) To find the time it takes for the population to double, we can set up an equation using the same formula: 2*p0 = p0 * e^(rt). Dividing both sides by p0, we get 2 = e^(rt). We know the growth rate, r, is 0.2, so we can rewrite the equation as 2 = e^(0.2t).
To solve for t, we can take the natural logarithm of both sides: ln(2) = 0.2t. Then, we can isolate t by dividing both sides by 0.2: t = ln(2) / 0.2 ≈ 3.5. Therefore, it takes approximately 3.5 days for the population to double.

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Answer: weight 40

Step-by-step explanation:

To find g(-2), we'll substitute -2 for x in the equation g(x) = -4x² - 5x + 9. So,g(-2) = -4(-2)² - 5(-2) + 9g(-2). The value of g(-2) is -6.

To find g(-2), substitute -2 for x in the equation

g(x) = -4x² - 5x + 9 to get

g(-2) = -6 + 9g(-2)

We are given three functions as follows:

f(x) = (1/3)x - 5, g(x)

= -4x² - 5x + 9, and

h(x) = 1/(x - 8) + 3.

We are asked to find g(-2), which is the value of g(x) when x = -2.

Substituting -2 for x in the equation g(x) = -4x² - 5x + 9, we get

g(-2) = -4(-2)² - 5(-2) + 9.

This simplifies to g(-2) = -16 + 10 + 9 = -6.

Hence, g(-2) = -6.

The value of g(-2) is -6.

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From the computation done, it can be denoted that the total price that will be paid will be $12.90.

1 Krispy Kosmos at $2.89 = $2.89

2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38

1 Gooey Globs at $2.99 = $2.99

Total = $2.89 + $6.38 + $2.99 = $12.26

We'll then add the sales tax of 5.2%, therefore, the total value will be:

= $12.26 + (5.2% × $12.26)

= $12.26 + $0.638

= $12.90

In conclusion, the correct option is $12.90.

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Answer:

C

Step-by-step explanation:

Edg 2022

Answer:

1.) 42in = 3.5 foot?

Step-by-step explanation:

Answer:

42 in. = 106.68 cm

Step-by-step explanation:

\(1 in. : 2.54 cm\\42 in : 2.54(42) cm\\42 in : 106.68 cm\)

Answer:

-33/10z-11

Step-by-step explanation:

Answer:

10 + 4 i

fnjeob cbjkocbhv bjwokjnb jnokemnef

Answer:

10+4i

Step-by-step explanation:

2*√25 + √-16.

Given

2*5+4i                                    

Simplify the sqrts.  If you are wondering where I got "i" from, "i" is √-1.  "i" is short for imaginary number because there is no real number that can be a square root of a negative number.  I got the 4 because it is the square root of -16

10+4i

I multiplied the 2 and the 5.  This is the simplest form because you cannot add imaginary and real numbers together.

Answer:

3 adults and 4 kids

Step-by-step explanation:

I just went through process of elimination of different possibilities like 2 adults and 5 kids, etc.

Then when I got the right answer all I did was multiply.

adults.) 12 x 3 = $36

kids.) 9 x 4 = $36

Then add both amounts.

$36 + $36 = $72

Answer:

3 adult tickets and 4 kid tickets

Step-by-step explanation:

So, with an equation like this, if you know how many of one of the types of tickets a person bought, then we can make an equation and find out how many of the other kind they bought.

But, since we don't know how many of either type of ticket was purchased, we can basically guess different combinations of the amount of each of the tickets.

We know there are 7 total tickets purchased, with a total price of $72. We also know the price of both adult tickets ($12) and student tickets ($9).

So, with that information, we can make an equation where a represents the number of adult tickets and k represents the total amount of kid tickets.

12a + 9k = 72

Now, let's guess combinations of amounts of each kind of ticket.

let's try 4 adult tickets and 3 kid tickets.

12(4) + 9(3) = 75

Well, 75 is close to 72, so let's try a similar combination.

Let's do the opposite this time. 3 adult tickets and 4 kid tickets.

12(3) + 9(4) = 72

Well, there we go. Just try and make some educated guesses.

Answer:

MSP: 6a/2

CUB: ab/2

ABC: 20 square centimeters

KDR: 5x cm * 3x cm / 2

Step-by-step explanation:

MSP: 6 x a divided by 2

CUB: a x b divided by 2

ABC: 8 x 5 divided by 2

KDR: 5xcm * 3xcm divided by 2

Answer:

devide the 25 out of 400 and then devide what is left and then... u get the answer

Step-by-step explanation:

Answer:

64 would be left handed

Step-by-step explanation:

16 times 4 is 64

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option is B.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

Given 40 positive tiles are broken up into 10 groups of 4 positive tiles. The expression that represents this situation is 40 divided by 10.

Hence, the correct option is B.

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Answer:

b

Step-by-step explanation:

The proportion of a normal distribution located in the tail beyond a z-score of z = -1.00 is approximately 0.1587.

The area under the curve of a normal distribution represents the proportion of observations in the distribution. The total area under the curve is equal to 1.

When we calculate the proportion of the normal distribution located in the tail beyond a z-score of z = -1.00, we are essentially calculating the area under the curve to the left of z = -1.00 (since the tail is located to the left of the z-score).

We can use a standard normal distribution table or a calculator to find the area under the curve to the left of z = -1.00. The table or calculator will give us the value of the cumulative distribution function (CDF) at z = -1.00.

The CDF represents the area under the curve to the left of the z-score. Therefore, to find the area under the curve to the right of the z-score (i.e., in the tail), we subtract the CDF from 1.

Using a standard normal distribution table or a calculator, we can find that the CDF at z = -1.00 is approximately 0.1587. Therefore, the proportion of the normal distribution located in the tail beyond a z-score of z = -1.00 is approximately 1 - 0.1587 = 0.8413.

Therefore, option (3) is incorrect, and the correct answer is option (1), which states that the proportion of the normal distribution located in the tail beyond a z-score of z = -1.00 is 0.1587.

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Answer:

-24

Step-by-step explanation:

-7 +3 is -4

-4+-20 is -24

-7 + 3 - 20

= -4 - 20

= -4 + -20

= -24

______

Hope it helps ⚜

Answer:

given us,

(x1y1) = (4,6)

(x2y2)= (1,10)

here

slope= (y2-y1)/ (x2-x1)

= (10-6)/ (1-4)

= 4/ (-3)

Step-by-step explanation:

4/ (-3)

we have y = [-1, -1, -1] + [-10, 5, 5], where [-1, -1, -1] is in W and [-10, 5, 5] is orthogonal to W.

To write vector y as the sum of a vector in W and a vector orthogonal to W, we need to find the projection of y onto W and then subtract it from y to obtain the orthogonal component.

Let's first find the projection of y onto W. The projection of a vector onto a subspace is given by the formula:

proj_W(y) = (y⋅u / ||u||^2) * u

where ⋅ represents the dot product and ||u|| represents the norm (magnitude) of vector u.

Given the information, we have:

y = [-11, 4, 4]

u = [1, 1, 1]

First, calculate the dot product of y and u:

y⋅u = (-11)(1) + (4)(1) + (4)(1) = -11 + 4 + 4 = -3

Next, calculate the norm squared of u:

||u||^2 = (1^2) + (1^2) + (1^2) = 1 + 1 + 1 = 3

Now, substitute these values into the projection formula:

proj_W(y) = (-3 / 3) * [1, 1, 1]

= [-1, -1, -1]

The projection of y onto W is [-1, -1, -1].

To obtain the orthogonal component z, we subtract the projection from y:

z = y - proj_W(y)

= [-11, 4, 4] - [-1, -1, -1]

= [-11 + 1, 4 + 1, 4 + 1]

= [-10, 5, 5]

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Answer:

To calculate Tom's new average, you need to know the total number of runs he scored in the three matches and the total number of runs he scored in the recent two matches.

You can use the following formula to calculate the new average:

New Average = (Total Runs + Recent Runs) / Total Matches

First you need to find the total runs he scored in the first 3 matches:

74 (average) * 3 (number of matches) = 222 runs

Then you need to find the total runs he scored in the recent two matches:

42 (runs in match 1) + 31 (runs in match 2) = 73 runs

Now you can find the new average by adding the total runs in recent two matches and total runs in the first 3 matches and divide it by the total number of matches:

(222 + 73) / 5 = 295 / 5 = 59

So, Tom's new average is 59 runs.

Answer: 59

Step-by-step explanation:

Please refer to the image below:

The differenceeof two numbers is just another name for subtraction.

c - (7 - 6)

We can even simplify this expression further.

c - 1

The base of her ladder should be 12 feet from the house.

A Pythagorean theorem is a useful theorem which can be applied so as to determine the length of the missing side of a right angled triangle. It states that:

/Hyp/^2 = /Adj/^2 + /Opp/^2

So that from the information given in the question, let the distance from the base of her ladder and the house be represented by x;

/Hyp/^2 = /Adj/^2 + /Opp/^2

20^2 = x ^2 + 16^2

400 = x^2 + 256

x^2 = 400 - 256

      = 144

x = 144^1/2

  = 12

x = 12 feet

Thus, Allison should place the base of her ladder 12 feet to the house.

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Answer:

49

Step-by-step explanation:

Your answer is 49 because if you do 42 divided by 6 it would be 7 and you would can then do 7x7 which would be 49 and then she would have read 7/7 which would be the whole book therefor there are 49 pages in the whole book.Hope it helps you!

Answer:

The answer is A

Step-by-step explanation:

Answer:

\(a = 4 \: \)

\(b = 2 \sqrt{2} \)

Step-by-step explanation:

tan 45° = 1

so,

=》

\(1 = \frac{b}{2 \sqrt{2} } \)

=》

\(b = 2 \sqrt{2} \)

now,

by pythagorus theorem :-

=》

\(a {}^{2} = (2 \sqrt{2} ) {}^{2} + (2 \sqrt{2} ){}^{2} \)

=》

\(a {}^{2} = 8 + 8\)

=》

\(a {}^{2} = 16\)

=》

\(a = \sqrt{16} \)

=》

\(a = 4\)

Answer: SA = 644 cm²

Step-by-step explanation:

STEP ONE: Find the surface area of the smaller rectangle (green)

There are in total 5 sides because one of the sides is not shown on the surface level.

Upper base = 3 × 3 = 9 cm²

4 sides = 3 × 8 × 4 = 96 cm²

Total = 9 + 96 = 105 cm²

STEP TWO: Find the surface area of the larger rectangle (orange)

There are in total 5 whole sides with one side covered by the base of the smaller rectangle (green) which should later be subtracted.

Front and back = 7 × 10 × 2 = 140 cm²

Left and right = 7 × 12 × 2 = 168 cm²

Lower base = 10 × 12 = 120 cm²

Upper base = 10 × 12 - 3 × 3 = 111 cm²

Total = 140 + 168 + 120 + 111 = 539 cm²

STEP THREE: Find the total surface area

SA = Green + Orange = 105 + 539 = 644 cm²

Hope this helps!! :)

Please let me know if you have any questions

Thus, it is important to interpret the F-ratio in the context of the research question and to consider other factors, such as effect size and practical significance, when drawing conclusions from an ANOVA analysis.

When conducting an analysis of variance (ANOVA), we are interested in comparing the means of two or more groups.

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Answer:

\(d(t) = -23t +556\)

Step-by-step explanation:

Assuming the hurricane continues on the same path at the same speed means the relationship between speed and time will be linear. This means our function can be written in slope-intercept form, \(y=mx+b\). For our function, it will be written as \(d(t)=mt+b\), where t is time, d is distance, m is the slope of the line, and b is the y-intercept. We can solve for slope by using the formula \(\frac{y_{2}-y_1 }{x_2-x_1}\), where x2 and x1 are the times 8 and 3, respectively, and y2 and y1 are the distances 372 and 487, respectively. This gives us a slope of -23.

We can solve for b by inputting the values we've been given and using algebra.

\(d(t)=mt+b\\487 =-23(3)+b\\487=-69+b\\b=556\)

This gives us the equation \(d(t) = -23t +556\)

Something to note, since we let 3:00 pm and 8:00 pm be the values x=3 and x=8, 12:00 pm would be x=0, and values in the morning would be negative, like 9:00 am would be x=-3.

Answer:

3 2/3

Step-by-step explanation: