Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
A.
21 minutes
B.
10 minutes
C.
3 minutes
D.
34 minutes

Using exponential function it will take approximately 2.6 years for the population to reach 26676

Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function). An exponential function can be in one of the following forms.

The formula given in this question is

P(t) = 988(3.5)ˣ

The time it will take to reach a population of 26676 is

26676 = 988(3.5)ˣ

x = 2.6 years

It will take approximately 2.6 years

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bro you need to add the rest of the question

Answer:

53.5

Step-by-step explanation:

by simplifying we get 53.5

Answer:

129/2

Step-by-step explanation:

The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

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The Answers are :

Answer:

9 and 36 = 9

35 and 42 = 7

100 and 120 = 20

84 and 42 = 42

The solution of the function \(\rm \int{sin(t) (1 + cos(t) )} \, dt\) is - cos t - ¹/₄cos 2t + c.

An indefinite integral is a function that practices the antiderivative of another function.

It can be visually represented as an integral symbol, a function, and then a dx at the end.

The given function is;

\(\rm \int{sin(t) (1 + cos(t) )} \, dt\)

Multiply by sint in the function and simplify;

\(\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt\)

Use trigonometric formulas for double angles:

\(\rm 2sintcost =sin2t\\\\sin t cost =\dfrac{1}{2} sin2t\)

Substitute the values in the function

\(\rm \int{sin(t) (1 + cos(t) )} \, dt\\\\\rm \int{sin(t) + sin(t)cos(t) \, dt}\\\\ \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\\)

And now we integrate this trigonometric form.

\(\rm \int{sin(t) + \dfrac{1}{2} sin2t \, dt}\\\\ \int{sin(t) dt } +\dfrac{1}{2}\int{sin(2t)\, dt}\\\\-cost -\dfrac{1}{2} \times \dfrac{1 \times -cos2t}{2}\\\\-cost -\dfrac{{1 \times -cos2t}}{4}+c\)

Hence, the solution of the given function is - cos t - ¹/₄cos 2t + c.

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Answer:

\(n=1.3\times 10^{12}\)

Step-by-step explanation:

Given that,

The radius of a cell, r = 10⁻³ cm

The density of the cell, d = 1.1 g/cm³

The weight of the Koala, m = 6 kg = 6000 grams

The density of an object is given by:

\(d=\dfrac{m}{V}\)

For n cells,

\(nd=\dfrac{m}{V}\\\\n=\dfrac{m}{dV}\)

Put all the values,

\(n=\frac{6000}{\frac{4}{3}\cdot\pi\cdot\left(10^{-3}\right)^{3}\cdot1.1}\\\\n=1.3\times 10^{12}\)

So, there are \(1.3\times 10^{12}\)cells in the average koala.

The simplified expression is 12/11 + (3√5)/11.

To simplify the expression 3/(4 - √5), we need to rationalize the denominator. Rationalizing the denominator involves getting rid of the square root in the denominator to simplify the expression.

To do this, we multiply both the numerator and denominator by the conjugate of the denominator. The conjugate of 4 - √5 is 4 + √5.

Multiplying the numerator and denominator by 4 + √5, we get:

3 * (4 + √5) / ((4 - √5) * (4 + √5))

Expanding the denominator using the difference of squares formula (a^2 - b^2 = (a + b)(a - b)), we have:

3 * (4 + √5) / (16 - 5)

Simplifying further:

3 * (4 + √5) / 11

Therefore, the simplified expression is 12/11 + (3√5)/11.

Hence, the simplified form of 3/(4 - √5) is (12 + 3√5)/11.

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ANSWER:

1.6 kilometers

STEP-BY-STEP EXPLANATION:

We can know how many kilometers are 1600 meters since we know the conversion factor between these units.

1 kilometer is equal to 1000 meters, therefore:

Therefore, 1600 meters is 1.6 kilometers

Answer:

(4,3)

Step-by-step explanation:

f(x) = a(x-h)^2 +k is the vertex form of a parabola

where (h,k) is the vertex

f(x) = (x-4)^2 +3

    yields a  vertex of (4,3)

Answer: The answer is A 4,3

Step-by-step explanation:

Answer:

Step-by-step explanation:

x/12=tan53

x=12tan53

x=15.9

Answer:

Tangent is opposite over hypotenuse, so tan(53)=x/12. Then you can solve easily.

Step-by-step explanation:

Answer:

is 34 degrees

Step-by-step explanation:

to find inscribed angle subtract

100-32=68

68÷2=34

Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store.

Michael is trying to determine where to open two new store locations. He has population data to determine the amount of revenue he will receive for each location.

He is charged a $1000 fee for opening a new store at a certain location. However, he is unsure whether the population of the city would be large enough to warrant opening a new store at that location.

The first step that Michael needs to take is to analyze the population data that he has.

Based on the population data, he needs to make an informed decision about whether or not to open a new store at that location. This would require him to take into consideration the average income of the population as well as the demographics of the city.

Another important factor that Michael needs to take into consideration is the competition in the area. If there are already several stores in the area, then opening a new store might not be a good idea.

This is because the competition would be too high and he would not be able to generate enough revenue to make up for the cost of opening a new store.

However, if there are no stores in the area, then Michael might consider opening a new store. This would require him to invest a significant amount of money, but he could also generate a significant amount of revenue in return.

Additionally, he needs to take into consideration the cost of opening a new store and whether or not he can generate enough revenue to make up for that cost.

Overall, Michael needs to carefully analyze all the data that he has before making an informed decision about where to open new store locations.

In conclusion, Michael needs to analyze the population data, demographics of the city, and the competition in the area to determine whether or not to open a new store. If the population is large enough and there is no competition in the area, then he should consider opening a new store. However, if there is already a significant amount of competition in the area, then he should avoid opening a new store.

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Answer:

7 26/15

Step-by-step explanation:

all you have to do is add 15 to the 11.

Answer:

18.84 mm

Step-by-step explanation:

The side of the square is the diameter of the circle so to find the side of the square we just find the square root of 36 which is 6

And now to find the circumference we multiply 6 by 3.14 and that is equal to 18.84mm

Hopes this helps please mark beainliest

Answer:

A = .600

Step-by-step explanation:

Answer:

y=1/2x+1/2

Step-by-step explanation:

the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2

The equation of line is y= 1/2x+ 1/2.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the graph as (-1, 0) and (3, 2).

So, slope of line = (2 - 0)/ (3 -(-1))

                            = 2/4

                            = 1/2

Now, slope- intercept form

y- 0 = 1/2 ( x-(-1))

y= 1/2x + 1/2

Hence, the equation of line is y= 1/2x+ 1/2

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Answer:

Step-by-step explanation:

The translation vector is the difference between the coordinates of a vertex of the original rectangle and the corresponding vertex of the image. Let's use point A as a reference:

translation vector = A' - A = (1 - (-2), 6 - 6) = (3, 0)

To verify that this translation works for all vertices, we can apply it to each point of the original rectangle:

B' = B + (3, 0) = (2 + 3, 6 + 0) = (5, 6)

C' = C + (3, 0) = (2 + 3, 4 + 0) = (5, 4)

D' = D + (3, 0) = (-2 + 3, 4 + 0) = (1, 4)

We can see that these new points form the image rectangle with the desired vertices.

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These inequalities ensure that Bob buys at least three albums, and no more than 35 individual songs, while staying within his budget of $60.

The system of inequalities that represents the situation is:

x + 10y ≤ 60 (total cost cannot exceed $60)

x ≤ 35 (no more than 35 individual songs)

y ≥ 3 (at least three albums)

Here, x represents the number of individual songs and y represents the number of albums.

The first inequality, x + 10y ≤ 60, ensures that the total cost of Bob's purchases does not exceed $60.

The second inequality, x ≤ 35, ensures that Bob does not buy more than 35 individual songs.

The third inequality, y ≥ 3, ensures that Bob buys at least three albums.

Together, these inequalities ensure that Bob buys at least three albums, and no more than 35 individual songs, while staying within his budget of $60.

Note that this system of inequalities assumes that Bob only buys whole albums, and not individual songs from albums. If he buys individual songs from albums, the system of inequalities would be more complex.

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Answer:

i think 37237

Step-by-step explanation:

Answer:

Step-by-step explanation:

y<=-8 means all values of y less than and equal to 8 so y belongs to negatie infinity to -8 . Here we have an open bracket at negative infinity and a closed square bracket at -8 since its included.

Answer:

x = -3/4

Step-by-step explanation:

Because you have the variable x and you do not know the number of fruit snacks he ate and you need to have the same variables to properly find the answer.

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TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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In a right triangle with cos0 = 4/5, the exact value of cot(0) is 4/3.

In a right triangle, if cos0 = 4/5, then the exact value of cot(0) can be found using the Pythagorean Theorem and the definition of cotangent.

First, let's use the Pythagorean Theorem to find the third side of the right triangle.

If cos0 = 4/5, then the adjacent side is 4 and the hypotenuse is 5. The Pythagorean Theorem states that a^2 + b^2 = c^2, where a and b are the legs of the right triangle and c is the hypotenuse. Plugging in the known values, we get:

4² + b² = 5²
16 + b² = 25
b² = 9
b = 3

Now that we know the third side of the right triangle, we can use the definition of cotangent to find the exact value of cot(0).

Cotangent is defined as the ratio of the adjacent side to the opposite side. In this case, the adjacent side is 4 and the opposite side is 3, so:
cot(0) = 4/3

Therefore, the exact value of cot(0) is 4/3.

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The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

2 3/7

Step-by-step explanation:

Answer:

2^\(\frac{3}{2}\)

Step-by-step explanation:

2^3·1/2 = 2^\(\frac{3}{2}\)

the image you posted is very blurry, but it looks like the answer is the last choice

Answer:

B=1.7

Step-by-step explanation:

-6+2+3B+4=2(4+1)-1

-6+2+4+3B=2(4+1)-1

3B=2-1(4+1)

3B=4+1

3B=5

B=5/3=1.7

Answer:

B

Step-by-step explanation:

the range is about 45

the answer to your question would be D