Organisms A and B start out with the same population size.
Organism A's population doubles every day. After 6 days, the
population stops growing and a virus cuts it in half every day for 4
days.
Organism B's population grows at the same rate but is not infected
with the virus. After 10 days, how much larger is organism B's
population than organism A's population?

The Correct graph is fourth one !

Answer:

Step-by-step explanation:

QUESTION :

m = (-3--1)/(-5-6) = 2/11

LAST ONE :

m = (-3--1)/(5--6) = -2/11

WITH THE REFLECTION OF F(X) , NORMALLY THE X-INTERCEPTS OF THE REFLECTED VALUE REMAIN THE SAME BUT CHANGE SIGNS. THE Y-INTERCEPTS DON'T CHANGE INCLUDINGVTHE SIGNS.

Rita's estimate of $50 is a good estimate, but it's not precise. If she works 10 hours a week and makes $9 an hour, her total will be $90. Half of 90 is 45. This means her spending money each week is $45.

Answer:

1 lb corn and 4 lb lima beans

Step-by-step explanation:

Let x = weight of corn.

Let y = weight of lima beans.

x + y = 5

0.6x + 1.1y = 5

x = 5 - y

0.6(5 - y) + 1.1y = 5

3 - 0.6y + 1.1y = 5

0.5y = 2

y = 4

x + y = 5

x + 4 = 5

x = 1

Answer: 1 lb corn and 4 lb lima beans

Answer:

A = 12

Step-by-step explanation:

V = Ah ( substitute given values into the formula )

84 = 7A ( divide both sides by 7 )

12 = A

The Boolean function f(x1, x2, x3) in the Product of Sum (Conjunctive Normal Form) is: f(x1, x2, x3) = (x1'x2'x3') + (x1'x2'x3) + (x1'x2x3') + (x1x2'x3')

The given truth table represents the Boolean function f(x1, x2, x3) that outputs 1 for certain combinations of inputs (x1, x2, x3) and 0 for other combinations.

We need to generate the Boolean function using the Product of Sum (Conjunctive Normal Form) approach.

The Product of Sum (POS) form consists of taking the product of the minterms that result in a 1 output and combining them with a logical OR operation. Each minterm represents a conjunction (AND) of the input variables.

Let's generate the Boolean function using the following steps:

1. Identify the minterms that result in a 1 output: From the truth table, we can see that the minterms that output 1 are (x1, x2, x3) = (0, 0, 0), (0, 0, 1), (0, 1, 0), and (1, 0, 0).

2. Express each minterm as a conjunction of the input variables:

(x1, x2, x3) = (0, 0, 0) can be expressed as x1'x2'x3'

(x1, x2, x3) = (0, 0, 1) can be expressed as x1'x2'x3

(x1, x2, x3) = (0, 1, 0) can be expressed as x1'x2x3'

(x1, x2, x3) = (1, 0, 0) can be expressed as x1x2'x3'

3. Combine the minterms using the logical OR operation:

f(x1, x2, x3) = (x1'x2'x3') + (x1'x2'x3) + (x1'x2x3') + (x1x2'x3')

Therefore, the Boolean function f(x1, x2, x3) in the Product of Sum (Conjunctive Normal Form) is:

f(x1, x2, x3) = (x1'x2'x3') + (x1'x2'x3) + (x1'x2x3') + (x1x2'x3')

In this form, the function is represented as a combination of AND and OR operations, where each term (minterm) represents a conjunction of the input variables. The OR operation combines these terms to form the complete Boolean function.

It's important to note that the POS form is just one way to represent the Boolean function, and depending on the specific problem or context, other forms such as the Sum of Products (SOP) form or other logical expressions may be more appropriate or useful.

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Hey there!

10(5 - n) - 1 = 29

10(5) + 10(-n) - 1 = 29

50 - 10n - 1 = 29

49 - 10n = 29

-10n + 49 = 29

ADD 49 to BOTH SIDES

-10n + 49 - 49 = 29 - 49

WORK IT OUT or SIMPLIFY IT!

NEW EQUATION: -10n = -20

DIVIDE -10 to BOTH SIDES

-10n/-10 = -20/-10

WORK IT OUT or SIMPLIFY IT AS WELL!

n = 2

Therefore, your answer is: n = 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

n=2

Step-by-step explanation:

Step #1. Distribute the 10 to (5-n) which is 50-10n

Step #2. Simplify. 50-10n-1= -10n+50-1= -10n+49=29

Step #3. Subtract. -10n+49-49=29-49

Step #4. Simplify again. -10n = -20

Step #5. Divide. -10n/-10= -20/-10

Step #6. Simplify again. n=2

There you have it! N is equal to 2! please mark be as brainliest if you can.

Hope this helps!

Answer:

Should be : The Ball Pushing On The Person

Step-by-step explanation:

while the Air resistance answers have a point this question is asking about the reaction and the only reaction answer is the ball pushing on the person. every action has a reaction,

The ball wants to stay still so it pushes back on the person with all it's force, but the person pushes the ball with more force then the ball has so the ball rolls.

(may have explained it to much or weirdly sorry)

Answer:

p = 4

Step-by-step explanation:

3p + 8 = 20

3p = 20 - 8

3p = 12

p = 12/3

p = 4

Answer:

see below

Step-by-step explanation:

2p + 8 = 20 - p

add p to both sides

2p + p + 8 = 20 - p + p

combine like terms

3p + 8 = 20

subtract 8 from both sides

3p + 8 - 8 = 20 - 8

combine like terms

3p = 12

divide both sides by 3

3p / 3 = p

12/3 = 4

we're left with p = 4

Answer:

The z-score for this data point is -1.5

Step-by-step explanation:

Mean = M = 150

Standard Deviation = S = 20

Value = x = 120

We find the z value,

\(z = (x-M)/S\\z = (120 - 150)/20\\z = (-30)/20\\z=-3/2\\z=-1.5\)

Hence the z value is z = -1.5

answer: 5%

explanation: subtract the principal from the total amount, then divide the difference by the principal

>> 73.50 - 70 = 3.50

3.50 / 70 = 0.05

0.05 x 100 = 5%

Answer:

D. -∞ < y < 5

Step-by-step explanation:

The range are all the possible values for y that the function can take. In the graph we can see that the highest value for y is 5 and there isn't a lowest value for y. It means that the range are values between -∞ and 5.

So the range is:

-∞ < y < 5

Answer:

Multiply the number by 3 to get the next number.

Step-by-step explanation:

The correlation between average 2007 price and number of 2007 is 0.207

To compute the correlation between the average 2007 price and the number of 2007 wins for the 16 National League baseball teams, we can use the formula for Pearson's correlation coefficient.

First, we need to calculate the following sums:

Sum of prices (ΣX) = 19.68 + 17.07 + 34.30 + 17.90 + 14.72 + 16.70 + 26.66 + 20.09 + 18.11 + 25.28 + 26.73 + 17.08 + 20.83 + 24.53 + 29.78 + 20.88 = 387.47

Sum of wins (ΣY) = 90 + 84 + 85 + 72 + 90 + 71 + 73 + 82 + 83 + 88 + 89 + 68 + 89 + 71 + 78 + 73 = 1296

Sum of products of prices and wins (ΣXY) = (19.68 * 90) + (17.07 * 84) + (34.30 * 85) + (17.90 * 72) + (14.72 * 90) + (16.70 * 71) + (26.66 * 73) + (20.09 * 82) + (18.11 * 83) + (25.28 * 88) + (26.73 * 89) + (17.08 * 68) + (20.83 * 89) + (24.53 * 71) + (29.78 * 78) + (20.88 * 73) = 24839.87

Sum of squared prices (ΣX^2) = (19.68)^2 + (17.07)^2 + (34.30)^2 + (17.90)^2 + (14.72)^2 + (16.70)^2 + (26.66)^2 + (20.09)^2 + (18.11)^2 + (25.28)^2 + (26.73)^2 + (17.08)^2 + (20.83)^2 + (24.53)^2 + (29.78)^2 + (20.88)^2 = 19151.7899

Sum of squared wins (ΣY^2) = (90)^2 + (84)^2 + (85)^2 + (72)^2 + (90)^2 + (71)^2 + (73)^2 + (82)^2 + (83)^2 + (88)^2 + (89)^2 + (68)^2 + (89)^2 + (71)^2 + (78)^2 + (73)^2 = 94518

Using these sums, we can calculate the correlation coefficient (r):

r = (n * ΣXY - ΣX * ΣY) / sqrt((n * ΣX^2 - (ΣX)^2) * (n * ΣY^2 - (ΣY)^2))

where n is the number of data points, which in this case is 16.

Substituting the values:

r = (16 * 24839.87 - 387.47 * 1296) / sqrt((16 * 19151.7899 - (387.47)^2) * (16 * 94518 - (1296)^2))

Calculating this expression gives us:

r ≈ 0.207

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Answer:2.7=n

Step-by-step explanation:

n+27=11n

Move the variable to one side so subtract n

27=10n

Divide by 10

2.7=n

I'm not sure if this what you were asking for

28.26 inches of wax is needed to make a candle.

What is the volume of a cylinder?

The density of a cylinder is determined by its volume, which represents how much material may be immersed in it or carried inside of it. The formula πr2h where r is the radius of the circular base and h is the height of the cylinder determines the volume of a cylinder.

Here, we have

Given: Sean uses a candle mold to make candles that are perfect cones. the diameter of the cone is 6 inches with a height that is half as long as the diameter.

The volume of cylinder =  π · r² · h

r = 3 inches

h = 3 inches

= π  (3)² · 3

= 27π

Volume of sphere = 4/3πr³

= 4/3π(3)³

= 36π

Total volume = 36π - 27π

= 9π  = 9×3.14 = 28.26

Hence, 28.26 inches of wax is needed to make a candle.

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Malena's steps arranged sequentially are :

The first step :

2x + 5 = -10 - x

collecting like terms

2x + x = -10 - 5

step 2 : Using the appropriate numerical operator:

3x = -15

step 3 : divide both sides by 3 to isolate x

x = -5

Hence, the required steps as arranged above .

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The Maclaurin series expansion of f(x) = cos(x⁴) is f(x) = 1 - (x⁸)/2! + (x¹⁶)/4! - (x²⁴)/6! + ... . This expansion provides an approximation of the original function in the form of an infinite sum of powers of x.

The Maclaurin series expansion of f(x) = cos(x⁴) can be found by substituting the series expansion of cosine function into the given function. The series expansion of cosine function is cos(x) = 1 - (x²)/2! + (x⁴)/4! - (x⁶)/6! + ... .

To find the Maclaurin series of f(x) = cos(x⁴), we substitute x^4 in place of x in the cosine series expansion. Thus, f(x) = cos(x⁴) = 1 - [(x⁴)²]/2! + [(x⁴)⁴]/4! - [(x⁴)⁶]/6! + ... .

Simplifying further, we get f(x) = 1 - (x⁸)/2! + (x¹⁶)/4! - (x²⁴)/6! + ... .

In summary, the Maclaurin series expansion of f(x) = cos(x⁴) is f(x) = 1 - (x⁸)/2! + (x¹⁶)/4! - (x²⁴)/6! + ... .

This expansion provides an approximation of the original function in the form of an infinite sum of powers of x. The more terms we include in the series, the more accurate the approximation becomes within a certain range of x values.

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Answer:

Step-by-step explanation:

just try

Answer:

Side length: 28

Area: 784

Step-by-step explanation:

Pythagorean

Hope This helps

Answer:

Side lengths of the square are 10 units. The area of the square is 100 units squared

Step-by-step explanation:

Use the Pythagorean theorem to find the hypotenuse of the right triangles. The lengths of the hypotenuses is the same as the side lengths of the square. Since it's a square all the sides are congruent(same length) To find the area of the square multiply the base times the height(10x10) because it's a square the area is squared. Therefore, the area is 100 units squared.

The equation 3(2d-1) - 2d = 4(d-2+5)  Isolate the variable 'd' on one side of the equation ,has no solution.

The equation 3(2d-1) - 2d = 4(d-2+5), we will simplify and

Step 1: Distribute the multiplication on the left side:

6d - 3 - 2d = 4(d - 2 + 5)

Simplifying, we have:

4d - 3 = 4(d + 3)

Step 2: Distribute the multiplication on the right side:

4d - 3 = 4d + 12

Step 3: Move the variables to one side and the constants to the other side:

4d - 4d = 12 + 3

Simplifying, we have:

0 = 15

Step 4: Conclusion:

We have obtained the equation 0 = 15, which is not a true statement. This means that there is no solution to the equation. The original equation is inconsistent and does not have a valid value for 'd' that satisfies the equation

Therefore, the equation 3(2d-1) - 2d = 4(d-2+5) has no solution.

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Complete Question

The data for this question is shown on the first uploaded image

Answer:

The 95% confidence interval estimate of the population percentage is  

   \( 33.2\% <  p < 76.8 \% \)

Step-by-step explanation:

On the data the first value is the height of the president while the other value is the height of his opponent

    The sample size is  n  =  20  

Looking at the data we see that out of the 20  presidents that only 11 is taller than their opponent

 So the proportion of presidents that are taller than their opponents is  

      \(\^ p = \frac{11}{20}\)  

=>   \(\^ p = 0.55\)

From the question we are told the confidence level is  95% , hence the level of significance is    

      \(\alpha = (100 - 95 ) \%\)

=>   \(\alpha = 0.05\)

Generally from the normal distribution table the critical value  of   is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Generally the margin of error is mathematically represented as  

   \(E = Z_{\frac{\alpha }{2} } *  \sqrt{\frac{\^ p (1- \^ p) }{n}} \)

  \(E = 1.96 *  \sqrt{\frac{0.55 (1- 0.55) }{20}} \)

   \(E = 0.218\)

Generally 95% confidence interval is mathematically represented as  

      \(\r p -E <  p <  \r p +E\)

=>    \(0.55-0.218 <  p < 0.55+ 0.218 \)

=>    \(0.332 <  p < 0.768 \)

Converting to percentage

        \((0.332*100)\% <  p < (0.768 *100) \% \)

=>    \( 33.2\% <  p < 76.8 \% \)

"Yes, the Mean Value Theorem can be applied."

The Mean Value Theorem states that if a function is continuous on the closed interval [a,b] and differentiable on the open interval (a,b), then there exists a point c in the interval (a,b) such that the derivative at c is equal to the average rate of change of the function over [a,b].

Given the function f(x) = x / (x - 10) on the interval [1,9], let's examine its continuity and differentiability.

The function has a discontinuity at x = 10 because the denominator becomes zero. However, this point is not within the given interval [1,9]. Thus, the function is continuous on the interval [1,9].

Now, let's check for Mean Value Theorem . We can find the derivative of the function: f'(x) = (x - 10 - x) / (x - 10)^2 = -10 / (x - 10)^2. The derivative exists for all points except x = 10. Since this point is not in the interval (1,9), the function is differentiable on (a,b).

Therefore, the Mean Value Theorem can be applied to f(x) = x / (x - 10) on the closed interval [1,9]. So the answer is: "Yes, the Mean Value Theorem can be applied."

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Using the normal curve to estimate the following percentages. The answer that is closes to being correct is 39.4%. So, the correct answer is C.

Since the distribution is approximately normal, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages.

a. 10.6%: This corresponds to the area under the curve that is more than 2 standard deviations below the mean. Using the rule, we know that about 2.5% of the area under the curve is more than 2 standard deviations below the mean. So 10.6% is too high. The answer is not a.

b. 89.4%: This corresponds to the area under the curve that is less than one standard deviation above the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 89.4% is too high. The answer is not b.

c. 39.4%: This corresponds to the area under the curve that is within one standard deviation of the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 39.4% is the closest to being correct. The answer is c.

d. 78.8%: This corresponds to the area under the curve that is less than two standard deviations above the mean. Using the rule, we know that about 95% of the area under the curve is within two standard deviations of the mean. So 78.8% is too high. The answer is not d.

e. 68.27%: This corresponds to the area under the curve that is within one standard deviation of the mean. This is the same as c. So e is not the correct answer.

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Answer:

.................. ........

The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

A=P(1+r)^t

where A is the value after t period of time,

P is the value of the asset at the beginning, and,

r is the rate of interest.

The value of the home doubles once each decade.

Given to us

The value of a home increases by 7% each year.

As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.

We know the formula of compounding,

A=P(1+r)^t

Why does the value doubles?

Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,

A=P(1+r)^t

Substitute the rate at which the value is increasing,

A=P(1+0.07)^t

We know that in a decade there are 10 years,

A=P(1+0.07)^10=P(1.07)^10

=1.967P

Approximately

=2P

As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.

Hence, the value of the home doubles once each decade.

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The perimeter of a rectangle is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides. Since the perimeter is a linear measure, therefore, the unit of the perimeter of rectangle will be in meters, centimeters, inches, feet, etc.

Perimeter of rectangle = 42 cm.

2 × (l + b) = 42

l + b = 21

So l + b = 2 + 19 ; 3+ 18; 4+17; 5+16; 6+ 15 ; 7+14 ; 8+13 ; 9+12; 10 +11:

Area for l × b =  2× 19= 38 sq.cm

Area for second case = 3* 18=54sq.cm

Area for third case = 4* 17=68sq.cm

Area for fourth case = 5* 16=80sq.cm

Area for fifth case = 6* 15=90sq.cm

Area for sixth case =7* 14=98sq.cm

Area for seventh case =8* 13=104sq.cm

Area for eighth case =9* 12=108sq.cm

Area for ninth case =10* 11=110sq.cm

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