On the evening news, the weatherman said their was a 60% chance of rain. Which
value is equivalent to 60%?

After 2 hours (or 6 doubling periods), there will be approximately 128,000 bacteria cells in the petri dish

The number of bacteria cells present in a petri dish under optimal conditions will grow exponentially with a doubling time of 20 minutes. Starting with 2,000 bacteria cells, we can calculate the number of bacteria cells that will be present in 2 hours by repeatedly doubling the population every 20 minutes. The final answer, rounded to the nearest whole number, represents the estimated number of bacteria cells after 2 hours.

Since the doubling time of the bacteria population is 20 minutes, it means that every 20 minutes, the number of bacteria cells will double. We can calculate the number of doubling periods in 2 hours (120 minutes) by dividing the total time (120 minutes) by the doubling time (20 minutes):

Doubling periods = 120 minutes / 20 minutes = 6 doubling periods

Starting with 2,000 bacteria cells, we can calculate the number of bacteria cells after each doubling period:

1st doubling period: 2,000 cells * 2 = 4,000 cells

2nd doubling period: 4,000 cells * 2 = 8,000 cells

3rd doubling period: 8,000 cells * 2 = 16,000 cells

4th doubling period: 16,000 cells * 2 = 32,000 cells

5th doubling period: 32,000 cells * 2 = 64,000 cells

6th doubling period: 64,000 cells * 2 = 128,000 cells

After 2 hours (or 6 doubling periods), there will be approximately 128,000 bacteria cells in the petri dish. Rounding this number to the nearest whole number, we estimate that there will be 128,000 bacteria cells present after 2 hours.

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Using the associative property we will get the equivalent expression:

45*b

The associative property of the product tells us that we can solve the product in any order we want to.

So we can write:

A*(B*C) = (A*B)*C = (A*C)*B

etc...

Now, the given expression is:

8*(5*b)

Then we can take the product of the two first numbers first, so we write:

8*(5*b) = (8*5)*b = 45*b

Then the equivalent expression to the given one is 45*b

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The point that is not coplanar with G, A, and B are E, F, G, H and J.

The cost of one baseball is $4 and the cost of one ping-pong ball is $1.5.  The cost of one baseball can be represented as "2x + 1" dollars.

Let's assume the cost of one ping-pong ball is represented by "x" dollars.

According to the given information, one baseball costs one dollar more than two ping-pong balls. Therefore, the cost of one baseball can be represented as "2x + 1" dollars.

Now, let's set up the equation based on the total cost of the baseballs and ping-pong balls.

The total cost of ten baseballs would be 10 times the cost of one baseball, which is 10(2x + 1) dollars.

The total cost of four ping-pong balls would be 4 times the cost of one ping-pong ball, which is 4x dollars.

According to the problem, the sum of these costs is $46.

So, we have the equation:

10(2x + 1) + 4x = 46

Now, let's solve the equation to find the values of x and y.

Expanding the equation:

20x + 10 + 4x = 46

Combining like terms:

24x + 10 = 46

Subtracting 10 from both sides:

24x = 36

Dividing both sides by 24:

x = 36/24

Simplifying:

x = 3/2 = 1.5

Now that we have found the value of x, we can substitute it back into one of the equations to find the value of y.

Let's use the equation for the cost of one baseball:

y = 2x + 1

y = 2(1.5) + 1

y = 3 + 1

y = 4

Therefore, the cost of one baseball is $4 and the cost of one ping-pong ball is $1.5.

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Answer:

6.14

Step-by-step explanation:

Answer:

They are parallel

Step-by-step explanation:

Same slope but different y-intercept

Answer: It is parallel.

Step-by-step explanation: Both equations have the same slope but different y-intercepts, the -3 and -6 in the picture.

Answer:

Length: 17 ft. Width: 12 ft.

Step-by-step explanation:

x + 5 + x +5 + x + x = 58

4x + 10 = 58

4x = 48

x = 12

12 + 5 = 17

\(7 > -2\\7 -7 > -2-7\\0 > -9\)

Hope that helped!

Let x be the full price of each Mighty Mare toy pony.

During the holiday sale, Pamela purchased each toy at $3 less than its full price. Therefore, the price she paid during the sale was:

x - $3

Since she bought 4 of these toys, her total cost during the sale was:

4(x - $3)

We also know that Pamela paid a total of $52 during the sale. Therefore, we can set up an equation:

4(x - $3) = $52

Simplifying this equation, we get:

4x - $12 = $52

Adding $12 to both sides, we get:

4x = $64

Dividing both sides by 4, we get:

x = $16

Therefore, each Mighty Mare toy pony costs $16 at full price.

Let's assume that the full price of each Mighty Mare toy pony is x dollars. Since Pamela purchased 4 Mighty Mare toy ponies, each at $3 less than its full price, the cost of each toy pony during the sale would be (x - 3) dollars.

To find the equation that represents this situation, we can set up the equation based on the given information:

4 * (x - 3) = 52

In this equation, 4 represents the number of Mighty Mare toy ponies purchased, (x - 3) represents the cost of each toy pony during the sale, and 52 represents the total amount paid by Pamela.

By solving this equation, we can determine the value of x, which represents the full price of each Mighty Mare toy pony.

Answer:

5

Step-by-step explanation:

Simplification:

\(\sqrt{2^3-7} + |-4|\)

\(\sqrt{1} + 4\)

1 + 4

5

Answer:

Hi

Please mark brainliest ❣️

Thanks

Step-by-step explanation:

By collecting like terms

4x - 3x = 14 -8

x = 6

The derivative of \(\(h(x) = x^{-\frac{1}{3}}(x-16)\)\) is given by: \(\[h'(x) = -\frac{1}{3}x^{-\frac{4}{3}}(x-16) + x^{-\frac{1}{3}}\]\) In other words, the derivative of h(x) is equal to \(\(-\frac{1}{3}\) times \(x^{-\frac{4}{3}}\)\) multiplied by \(\((x-16)\)\), plus \(\(x^{-\frac{1}{3}}\)\).

To find the derivative of \(\(h(x)\)\), we can use the product rule of differentiation. The product rule states that if \(\(f(x) = g(x) \cdot h(x)\)\), then \(\(f'(x) = g'(x) \cdot h(x) + g(x) \cdot h'(x)\)\).

In this case, let's consider \(\(g(x) = x^{-\frac{1}{3}}\)\) and \(\(h(x) = x-16\)\). Using the product rule, we differentiate g(x) and h(x) separately.

The derivative of  can be found using the power rule of differentiation. The power rule states that if \(\(f(x) = x^n\)\), then \(\(f'(x) = n \cdot x^{n-1}\)\). Applying this rule, we get \(\(g'(x) = -\frac{1}{3}x^{-\frac{4}{3}}\).\)

Next, we differentiate \(\(h(x) = x-16\)\) using the power rule, which gives us \(\(h'(x) = 1\)\).

Now, using the product rule, we can find the derivative of h(x) by multiplying g'(x) with h(x) and adding g(x) multiplied by h'(x). Simplifying the expression gives us \(\(h'(x) = -\frac{1}{3}x^{-\frac{4}{3}}(x-16) + x^{-\frac{1}{3}}\)\), which is the final result.

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Answer:

40%

Step-by-step explanation:

mark branliest

Answer:

The y-coordinates in quadrant IV are negative. Because y represents profit, negative values of y signify not making a profit. That is, negative values signify loss. The points in quadrant IV represent the baseball team losing money.

Step-by-step explanation:

I took the assignment :).

Answer: 15

Step-by-step explanation:

General terms in AP

f, f+d, f+2d, f+3d, ....  , where f= first term and d= common difference.

The given A.P. : 18, a, b, - 3

here, f= 18    

\(f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\\)

Put f= 18 in (iii) ,

\(18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7\)

Put f= 18 and d= -7 in (i) and (ii) , we get

\(a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4\)

Now, \(a+b= 11+4=15\)

Hence, the correct answer is "15".

Answer:

39

Step-by-step explanation:

Since we are multiply the shorter side by 6.5 (you can find this by dividing 26 over 4) We have to do the same for the longer side and by multiplying we get 39, which is the answer.

Answer:

CED = 172°

Step-by-step explanation:

CDE = 360° - 35° - 50° - 103°

CDE = 172°

Answer:

Step-by-step explanation:

a) (a + b)² = (a + b) * (a +b)

  (a + b)³  = (a + b) * (a +b) * (a +b)

 a²- b² = (a +b) (a - b)

Here (a + b) is common in all the three expressions

HCF = (a + b)

b) (x - 1) = (x - 1)

  x² - 1  = (x - 1) * (x + 1)

  (x³ - 1) = (x - 1) (x² + x + 1)

HCF = (x -1)

Answer: 11,244,000

Step-by-step explanation:

From the question, we are informed that In 2013 the population of New York state was approximately 19.65 million and the population of New York City was 8,406,000.

To know the number of people in New York State did not live in New York City, we subtract 8,406,000 from 19.65 million. This will be:

= 19,650,000 - 8,406,000

= 11,244,000

The value of all the given expression are as follow:

a. Absolute value of -3 / 2 is equal to 3 /2.

b. The value of 32^4 is equal to 1048576.

c. The value ( 32 )^ 1/4 power is equal to (2)^5/4.

d. Value of 4^2 is 16

As given in the question,

Simplification of the given expressions are :

a. The absolute value of ( -3 / 2 )is

| - 3 / 2 | = ( 3/2 )

b. The value of the expression 32^4  is:

32^4

= 32 × 32 × 32 × 32

=  1048576

c. The value of the given expression ( 32 ) ^ 1/4 :

( 32 ) ^ 1/4

= ( 2⁵) ^ 1/4

= 2^(5/4)

d. Value of 4^2 is

4^2

= 4 × 4

= 16

Therefore, the value of the given expression is given by :

a. Absolute value of -3 / 2 is equal to 3 /2.

b. The value of 32^4 is equal to 1048576.

c. The value ( 32 )^ 1/4 power is equal to (2)^5/4.

d. Value of 4^2 is 16

The complete question is:

What is the absolute value of -3/2 ?

what is the value of 32^4?

what is the value of 32 to the one - fourth power?

what is the value of 4^2?

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Statement C) "F is differentiable at x=0" cannot be used to conclude that f(0) exists.

The existence of f(0) refers to the value of the function f at x=0. To conclude that f(0) exists, we need some evidence or conditions that ensure the value at x=0 is well-defined.

A) The statement "Lim x-->0 f(x) exists" indicates that the limit of f(x) as x approaches 0 exists. This provides information about the behavior of the function near x=0 but does not guarantee the existence of f(0) itself.

B) If "F is continuous at x=0," it means that the function f is defined and continuous at x=0, which implies that f(0) exists.

C) If "F is differentiable at x=0," it means that the derivative of f exists at x=0. However, differentiability does not necessarily imply the existence of f(0), as the function may have a sharp corner or a vertical tangent point.

D) If "The graph of f has a y-intercept," it means that the function intersects the y-axis, indicating that f(0) exists.

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To calculate the sample size required to detect a true mean speed of 94 meters per second with a power of at least 0.85, we need to know the significance level and the standard deviation of the population.

Assuming a 5% significance level (alpha = 0.05) and a standard deviation of 10 meters per second, we can use the following formula:

n = (Z_beta + Z_alpha/2)^2 * σ^2 / d^2

where:

Z_beta is the Z-score for the desired power (0.85) from the standard normal distribution, which is approximately 1.04.

Z_alpha/2 is the Z-score for the desired significance level (0.05/2 = 0.025) from the standard normal distribution, which is approximately 1.96.

σ is the standard deviation of the population, which is 10 meters per second.

d is the difference between the true mean speed and the hypothesized mean speed, which is 100 - 94 = 6 meters per second.

Substituting these values into the formula, we get:

n = (1.04 + 1.96)^2 * 10^2 / 6^2

≈ 49.56

Therefore, a sample size of at least 50 would be required to detect a true mean speed as low as 94 meters per second with a power of at least 0.85, assuming a 5% significance level and a standard deviation of 10 meters per second.

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Answer:

8.5 cups per day

Step-by-step explanation: The answer is very simple. 85/10 equals 8.5 cups per day! Good Luck! Stay Brainy!

Tom first makes an error in step 4.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3,912 ÷ 12

12 ) 3912 ( 326

      36

        312

        240

           72

           72

             0

Step 1.

There are 300 12s in 3,912

Step 2.

3,912 − 3,600 = 312

Step 3.

There are 20 12s in 312

Step 4.

312 − 240 = 72

Step 5.  
There are 7 12s in 72

Step 6.

72 − 72 = 0

Step 7.

Quotient = 300 + 20 + 7 = 326 with a remainder of 0

Thus,

Step 4 is an error.

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A minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean, assuming a normal distribution of the number of words per sentence in the book and a population standard deviation of 4 words.

To determine the minimum sample size needed to be 95% confident that the sample mean is within 2 words of the true population mean, we can use the formula for the margin of error:

Margin of error = z * (standard deviation / sqrt(n))

Where z is the z-score for the desired confidence level, standard deviation is the population standard deviation (given as 4 words), and n is the sample size.

We want the margin of error to be no more than 2 words, so we can set up the inequality:

z * (4 / √n) ≤ 2

To find the value of z for 95% confidence level, we can use a z-table or calculator and find that z = 1.96.

Substituting this value into the inequality and solving for n, we get:

1.96 * (4 / √n) ≤ 2

Simplifying and solving for n, we get:

n >= 61.05

Since we can't have a fractional sample size, we can round up to the nearest whole number and conclude that a minimum sample size of 62 is needed to be 95% confident that the sample mean is within 2 words of the true population mean.

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the probability that he drove the small car is 0.890 (option A).

Using Bayes' theorem to solve the problem given, let us represent the following events:

A: Friend drives the small carB: Friend drives the large carC: Friend is on timeGiven that three-quarters of the time he drives the small car and one-quarter of the time he drives the large car, we can calculate the prior probabilities:

P(A) = 3/4 and P(B) = 1/4.

Also, given that he usually has little trouble parking with probability 0.9 when driving the small car and is on time with probability 0.6 when driving the large car, we can calculate the likelihoods:

P(C|A) = 0.9 and P(C|B) = 0.6

Using Bayes' theorem, we can calculate the posterior probability of driving the small car given that he was on time on a particular morning:

P(A|C) = P(C|A) * P(A) / (P(C|A) * P(A) + P(C|B) * P(B))= 0.9 * 3/4 / (0.9 * 3/4 + 0.6 * 1/4) = 0.890

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Answer:

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

Use circumference formula:

Find the radius by rearranging the formula and substituting 32 for C:

Answer:

5.09 in

Step-by-step explanation:

We know that the formula to find the circumference of a circle is:

C = 2πr

Here,

C → Circumference → 32 in

r → radius

Let us find the radius of the circle by substituting the given values.

\(\sf C = 2\pi r\\\\\sf 32 = 2\pi r\\\\Divide\:both\:sides\:by\:2 \pi \:and\:make\:r\:the \:subject\\\\\dfrac{32}{2 \pi} =\dfrac{2 \pi r}{2 \pi} \\\\\red{5.09 \:in=r}\)