Simplify this expression 4^9/4^3

Answer:

85 meters in total

Step-by-step explanation:

The submarine first descended 45 meters and then 40 meters

45+40=85

Answer:

The concession stands needs to sell 14 or more bags.

Step-by-step explanation:

Given that:

Cost per bag of popcorn = $2.50

Number of bags already sold = 30

Cost of 30 bags = 30*2.50 = $75

Bags needs to be sold to make $110 = x

2.50x + 75 ≥ 110

2.50x ≥ 110-75

2.50x ≥ 35

Dividing both sides by 2.50

\(\frac{2.50x}{2.50}\geq \frac{35}{2.50}\\x\geq 14\)

Hence,

The concession stands needs to sell 14 or more bags.

Randomization will be used to ensure that every participant has an equal chance of being assigned to either the control or the experimental group. A placebo will be used to ensure that the participants in the control group do not know whether they are receiving the actual treatment or not. Finally, the experiment can be made double-blind to reduce the risk of bias and ensure that the study is more accurate.

Randomized comparative experiments are the gold standard for testing the effectiveness of treatments. In this experiment, fluoxetine will be tested to determine its effectiveness in reducing depression. Here is how a randomized comparative experiment to test whether fluoxetine is effective at reducing depression can be designed:1. Randomization:Randomization will be used to ensure that every participant in the study has an equal chance of being assigned to either the control or the experimental group. In this study, the participants will be randomly assigned to either the experimental group (which will receive fluoxetine) or the control group (which will receive a placebo). Randomization is essential to reduce the risk of bias and ensure that the two groups are comparable.

2. Placebo:A placebo will be used to ensure that the participants in the control group do not know whether they are receiving the actual treatment or not. The placebo should look and taste like fluoxetine to make it difficult for the participants to know which group they are in. The placebo effect can also be taken into account in the study design.3. Double-blind:The experiment can be made double-blind by ensuring that both the participants and the researchers are unaware of which group each participant is in. This is essential to reduce the risk of bias and ensure that the study is more accurate. To make the experiment double-blind, the pills will be coded, and the code will be kept by an independent observer who is not involved in the study.

The researcher will only know the code after the study has been completed and the data has been collected. This will prevent the researchers from influencing the results of the study based on what they know about the participant's group assignment.In conclusion, a randomized comparative experiment can be designed to test whether fluoxetine is effective at reducing depression. Randomization will be used to ensure that every participant has an equal chance of being assigned to either the control or the experimental group. A placebo will be used to ensure that the participants in the control group do not know whether they are receiving the actual treatment or not. Finally, the experiment can be made double-blind to reduce the risk of bias and ensure that the study is more accurate.

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Answer:

336

Step-by-step explanation:

Find the volume of a rectangular prism is V = Length * width * height = 6*4*14 = 336 inch^3

If it is helpful, plz give me Brainliest.

Answer:

The answer would be (C) 336

Step-by-step explanation:

V = l x w x h

The area of the rectangular backyard  where Liesa will put down the grass seed is equal to 480 square yards.

Shape of the backyard is rectangular.

length of the rectangular backyard is equal to 80 feet

Width of the rectangular backyard is equal to 54 feet.

Area of Liesa's backyard in square feet is,

Area of the rectangular backyard = Length x Width

Substitute the values we have,

⇒Area of the rectangular backyard = 80 feet x 54 feet

⇒Area of the rectangular backyard = 4,320 square feet

Now, convert square feet to square yards,

Divide by the number of square feet in one square yard.

3 feet = one yard,

⇒ one square yard =  3 x 3

⇒ one square yard = 9 square feet.

Convert square feet to square yards, divide by 9.

Area in square yards = Area in square feet / 9

⇒Area in square yards = 4,320 square feet / 9

⇒Area in square yards = 480 square yards

Therefore, area where the Liesa will need to put down 480 square yards of grass seed in her backyard.

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Answer:

$820 for the week and $42640 for the year

Step-by-step explanation:

40x20.50 for weekly wage = $820

and 40x20.50x52 for yearly wage = $42640

The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

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Answer:

The point where f(x), g(x), and h(x) have the same value is (8, 11)

Step-by-step explanation:

The points where g(x) and h(x) have the same value is given as follows;

2x - 5 = 8/x + 10

2x² - 15x - 8 = 0

Using an online tool, we have;

(x - 8)(2x + 1) = 0

x = 8 or x = -1/2

∴ g(x) and h(x) = 11 or y = -6

For x = 8, we have;

f(x) = 2^(x - 5) + 3 = 2^(8 - 5) + 3 = 2^3 + 3 = 11

For x = -1/2, we have;

f(x) = 2^(-1/2 - 5) + 3 = 3.022

Therefore, the point where f(x), g(x), and h(x) have the same value is (8, 11), therefore, for x = 8, f(x) = g(x) = h(x) = 11.

Answer:

92.75 miles

Step-by-step explanation:

3.71 / 2 = 1.855

1.855 * 50 miles = 92.75 miles

When the batter is halfway to first base in a baseball diamond, the rate at which his distance from second base is decreasing is 0 ft/s, while the rate at which his distance from third base is increasing is √2 ft/s.

To analyze the situation, we can consider the geometry of the baseball diamond. Since the diamond is a square, each side has a length of ft.

When the batter is halfway to first base, he forms a right triangle with second base and third base. The hypotenuse of this triangle represents the distance from second base to third base, which is √2 times the length of one side of the square.

At this moment, the batter is moving directly towards first base, which is perpendicular to the line connecting second and third base. Therefore, the rate at which his distance from second base is decreasing is 0 ft/s since he is not changing his distance from second base.

On the other hand, the rate at which his distance from third base is increasing can be calculated. Since the hypotenuse (distance from second base to third base) is √2 times the length of one side, we can differentiate with respect to time to find the rate of change. Thus, the rate at which his distance from third base is increasing is √2 ft/s.

Therefore, when the batter is halfway to first base in a baseball diamond, his distance from second base is not changing, while his distance from third base is increasing at a rate of √2 ft/s.

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Anita is 48 years old and Britney is 6 years old. Let's denote Britney's age as B. According to the given information, Anita is four times older than Britney, which means Anita's age is 4B.

Additionally, it is stated that six times Britney's age, plus three times Britney's age, is equal to 36. This can be written as 6B + 3B = 36, which simplifies to 9B = 36. Solving for B, we find B = 4.

Therefore, Britney is 4 years old. Since Anita's age is four times that of Britney, Anita is 4 × 4 = 16 years old.

Hence, Anita is 48 years old and Britney is 6 years old.

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The probability of a student completing the final examination in less than 65 minutes is 13.45%.

The time it takes to complete a final examination in a particular college course is normally distributed with a mean of 77 minutes and a standard deviation of 12 minutes. This can be expressed mathematically as X~N(77, 12).

The probability of a student completing the final examination in less than 65 minutes can be calculated by using the Z-score formula:

Z = (x - μ) / σ

Where x = 65 minutes, μ = 77 minutes, and σ = 12 minutes.

Plugging these values into the formula, we get:

Z = (65 - 77) / 12 = -1.17

Using a Z-score table, we can find the probability of a student completing the final examination in less than 65 minutes, which is equal to 0.1345, or 13.45%. Therefore, the probability of a student completing the final examination in less than 65 minutes is 13.45%.

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There is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate.

There is evidence of a negative correlation between systolic blood pressure and heart rate. In a sample of 200 patients, a sample correlation of -0.057 was found. Correlation is a statistical measure used to assess the degree to which two variables are related to one another. A correlation coefficient ranging from -1 to 1 is used to represent this relationship. A negative correlation exists when two variables move in opposite directions.

It means that as one variable increases, the other variable decreases or vice versa.In the given case, there is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate. Systolic blood pressure is the amount of pressure exerted by blood against the walls of the arteries when the heart pumps. It is the top number in a blood pressure reading.

When your heart beats and pushes blood out, the systolic pressure is created.Heart rate is the number of times your heart beats per minute. It is also known as the pulse rate. It represents the number of times your heart contracts and relaxes with each heartbeat.

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Answer:

the solution is (5,5)

Step-by-step explanation:

if you plug in (5,5) where the x and y are you will find that the equation will balance out.

eu ainda n sei mas se alguém responde vai me ajudar tmb

Answer:

- 2x - 8

Step-by-step explanation:

\( - 7x + 4 - 5x - 12\)

Collect like terms

-7x - 5x +4 - 12

= -2x - 8

Answer:

x=-4

Step-by-step explanation:

-3x +5 = 17

-3x+5-5=17-5

    -3x=12

 -3x/3 = 12/-3

       x=-4

Answer:

its choice 2

Step-by-step explanation:

6b is the amount of bracelets that were bought, times the cost of 1 bracelet. 3s is the cost of 1 pair of socks times the amount of socks bought. when you add together 6b+3s it should =300

Answer:

Range = 31

Step-by-step explanation:

Range = Highest No. - Lowest No.

Where Highest No. = 41, Lowest No. = 10

So,

Range = 41 - 10

Range = 31

Answer:

31

Step-by-step explanation:

You order them from lowest to highest and the you would subtract the lowest from the highest, or 41-10, which would give you the range of 31

Answer:

9506

Example:

Multiply the 7 and 8 to get 56.

Since 56 is greater than 9, you'll have to carry the 5.

       5

       9 7

x 9 8

___________

               6

Multiply the 9 and 8 to get 72.

And, add the carried 5 to get 77.

77 is greater than 9, but there are no more digits to carry over, so just write the 7 down in front.

   7  5

       9 7

x 9 8

___________

       7    7   6

Multiply the 7 and 9 to get 63.

Since 63 is greater than 9, you'll have to carry the 6.

       6

       9 7

x 9 8

___________

       7    7   6

             3   0

_____________

Multiply the 9 and 9 to get 81.

And, add the carried 6 to get 87.

87 is greater than 9, but there are no more digits to carry over, so just write the 8 down in front.

   8  6

       9    7

x 9    8

___________

       7    7   6

  8   7    3   0

_____________

Then add 776 + 8730 to get your answer which is 9506! :)

  1    1

      7   7  6

+  8  7  3  0

_________

    9  5  0  6

The given series E-1(-1)^n * cos(n) is divergent.

To determine whether the series E-1(-1)^n * cos(n) is conditionally convergent, absolutely convergent, or divergent, we need to analyze the convergence behavior of both the alternating series E-1(-1)^n and the cosine term cos(n) individually.

Let's start with the alternating series E-1(-1)^n. An alternating series converges if two conditions are met: the terms of the series approach zero as n approaches infinity, and the magnitude of the terms is decreasing.

In this case, the alternating series E-1(-1)^n does not satisfy the first condition for convergence. As n increases, (-1)^n alternates between -1 and 1, which means the terms of the series do not approach zero. The magnitude of the terms also does not decrease, as the absolute value of (-1)^n remains constant at 1.

Next, let's consider the cosine term cos(n). The cosine function oscillates between -1 and 1 as the input (n in this case) increases. The oscillation of the cosine function does not allow the series to approach a fixed value as n approaches infinity.

When we multiply the alternating series E-1(-1)^n by the cosine term cos(n), the alternating nature of the series and the oscillation of the cosine function combine to create an erratic behavior. The terms of the resulting series do not approach zero, and there is no convergence behavior observed.

Therefore, we conclude that the series E-1(-1)^n * cos(n) is divergent. It does not converge to a finite value as n approaches infinity.

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Answer:

A' (5.5, 4.5)

B' (8.5, 4.5)

C' (8.5, 1.5)

D' (5.5, 1.5)

A'' (1, 9)

B'' (13, 9)

C'' (13, -3)

D'' (1, -3)

Step-by-step explanation:

The vertices of the quadrilateral ABCD in the given diagram are:

The sides of quadrilateral ABCD are congruent, therefore quadrilateral ABCD is a square.

The x-coordinate of the center P is halfway between the x-coordinates of A and B, and the y-coordinate of the center P is halfway between the y-coordinates of A and D.  Therefore, the center of ABCD is:

To dilate an image when the center of dilation is not the origin, observe the horizontal and vertical distances of each vertex from the center of dilation.

From inspection of the diagram:

Under a scale factor of 1/2, points A', B', C' and D' need to be half as far away from the center as A, B, C and D:

⇒ 3 × 1/2 = 1.5

Therefore:

So the vertices of A'B'C'D' are:

Similarly, under a scale factor of 2, points A'', B'', C'' and D'' need to be twice as far away from the center as A, B, C and D:

⇒ 3 × 2 = 6

Therefore:

So the vertices of A''B''C''D'' are:

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Answer:

For the first question the answer is 50(0.2 + 1)^2 = 72

For the second question it is y = 32

Step-by-step explanation:

In case you need to see how i got it...it's below

For number 1, y is proportional to (x + 1)^2

The equation would be y(x +1)^2 = k(the constant). Then I substituted numbers you gave me in the equation which was : 50(0.2 + 1)^2 = k(72)

For number 2 I used this equation: y (x + 1)^2 = 72. I substituted x for 0.5. The equation will be: y(0.5 + 1)^2 = 72. Then I got 32 for y.

Hope this helps:)

Step-by-step explanation:

The statement "on the final pass through the selection sorting algorithm two values are brought over from the unsorted list into the sorted list" is false.

To answer your question regarding the selection sort algorithm: On the final pass through the selection sorting algorithm, only one value is brought over from the unsorted list into the sorted list. So, the statement is false.

In a selection sort algorithm, during each pass, the minimum (or maximum, depending on the order) value in the unsorted part of the list is selected and then swapped with the first unsorted value. This process continues until there is only one value left in the unsorted part of the list, which is then automatically considered sorted.

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Answer:

1) 17 units

Step-by-step explanation:

using pythagoean theorm you need to square 8 and 15 and add them and then take the sqaure root and finally you will get 17