An ocean sunfish was swimming 125 meters below the ocean's surface. While hunting for jellyfish, it swam down another 115 meters.
What is the position of the sunfish now relative to the ocean's surface?

Answer:

1) 59

2) 31

3) 59

4) 31

5) 31

6) 59

7) 118

8) 62

9) 62

10) 118

11) 31

Step-by-step explanation:

The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!

In statistics, variance is defined as the measure of the spread or dispersion of a set of data. It is the average of the squares of the deviations from the mean.

The formula for variance is:

σ2=(Σ(x−μ)2)/nwhere σ2 is the variance, Σ is the sum, x is the value of each element, μ is the mean, and n is the total number of elements in the set of data.

In Excel, the sample variance can be calculated using the VAR.S function. The syntax of the function is:VAR.S(number1,[number2],…)where number1, number2, etc. are the numeric values or the range of values whose variance is to be calculated.Here’s an example of how to use the VAR.S function in Excel to find the sample variance:

Step 1: Enter the data in a column in Excel, for example, A1 to A10.

Step 2: Calculate the mean of the data using the AVERAGE function in Excel.Step 3: Use the VAR.S function in Excel to calculate the sample variance of the data. The syntax of the function is VAR.S(A1:A10). The result will be the sample variance of the data rounded to two decimal places.

Note: The VAR.S function is used to calculate the sample variance. To calculate the population variance, the VAR.P function should be used instead. The formula for

is slightly different from the formula for sample variance.

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Answer:

y = 5/4 x

Step-by-step explanation:

We already know the slope, so now we need to find the y-intercept. To do that, you need to simply plug the coordinates into the equation which is

y = 5/4 x + b

-5 = 5/4 (-4) + b

-5 = -5 + b

0 = b

y = 5/4 x + 0 or simply just y = 5/4 x.

Answer:

Step-by-step explanation:

Use the words in the problem to write the equation you need to solve it. The word "of" means to multiply, the word "is" means "equals", and we always put a percentage in the form of a decimal when we use it in an equation.

Our equation would look like

.20y = 40 so

y = 200

Answer:

m = 3 , n = 4

Step-by-step explanation:

Using Section Formula.

\(If \ the \ line \ segment \ AB \ where \ A = (x _1, y_1) \ and \ B = (x_2, y_2) \ divided \ by \ P =(x , y) \ in \ the \ ratio \ a : b,\\\\Then \ the \ points \ of \ P \ \\\\x = \frac{ax_2 + bx_1}{a+b} \ and \ y = \frac{ay_2 + by_1}{a+b}\)

   \(Here (x_1 , y_ 1 ) = ( -7 , 1 ) \ and \ (x_ 2 , y _ 2 ) = (m , 6)\\\\ratio\ a:b = 3 : 2\\\\Therefore, P (x, y) \\\\x = \frac{3m + (2\times -7)}{5} \ \ \ \ \ \ \ \ \ \ \ [ \ x = -1 \ ] \\\\-1 = \frac{3m - 14}{5}\\\\- 5 = 3m - 14\\\\-5 + 14 = 3m\\\\9 = 3m \\\\m = 3\)

  \(y =\frac{3\times 6 + 2 \times 1}{5}\\\\n = \frac{18 + 2}{5} = \frac{20}{5} = 4\)

The true statement about the end behavior of f(x) is (b)

The equation of the function is given as;

f(x) = -4x^6 +6x^2-52

The leading coefficient of the above function is

Leading coefficient = -4

-4 is less than 0 i.e. negative

This means that options (a) and (c) are false

Also;

The ends of even functions face the same direction, and not opposite directions.

Hence, the true statement about the end behavior of f(x) is (b)

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Answer:

Yes it's a function.

Step-by-step explanation:

To know if it's a function check if there is two x-intercepts. If there is them it's not a  if there isn't then, it's a function.

1.The total cost would be:50 cash registers x 450 AED per cash register = 22,500 AED

2.the cost of one new cash register at the end of 8 years would be approximately 661.39 AED.

3. the value of one old cash register after 8 years would be approximately 222.19 AED.

4.It is not possible to determine whether the money from selling the old cash registers is enough to pay for the new ones without knowing the selling price of the old cash registers.

5.It would take approximately 19 years for the value of the cash registers to reach 95 AED.

1. The company needs to buy at least 50 cash registers, each costing 450 AED. Therefore, the total cost would be:

50 cash registers x 450 AED per cash register = 22,500 AED

 2. The continuous compounding formula is A = \(Pe^(^r^t^)\), where A is the resulting amount, P is the initial amount, e is Euler's number, r is the annual interest rate, and t is the time in years. We can apply this formula here by setting P = 450 AED, r = 6%, t = 8 years and solving for A:

A = 450*e^(0.06*8) = 661.39 AED (rounded to two decimal places)

 3. The value of each old cash register decreases at a rate of 7.5% per year. We can use the formula for exponential decay, P = , where P is the resulting amount, P is the initial amount, e is Euler's number, r is the rate of change, and t is the time in years. Setting P to 450 AED, r to -7.5%, and t to 8 years, we can solve for the resulting value:

P = 450*e^(-0.075*8) = 222.19 AED (rounded to two decimal places)

 4. If the selling price is greater than the value of the old cash registers after 8 years (i.e., 222.19 AED), then the company would make a profit on each old cash register sold to help pay for the new ones; if the selling price is less than 222.19 AED, then the company would incur a loss on each old cash register sold.

 5. To find when the value of the cash register will be approximately 95 AED, we can use the formula from part (3).

95 = 450*e^(-0.075t)

Dividing both sides by 450 and taking the natural logarithm of both sides, we get:

ln(95/450) = -0.075t

Solving for t, we get:

t = -(1/0.075) * ln(95/450) ≈ 19.01 years

With a lifespan of only 8 years, it is not a realistic scenario for the cash registers to depreciate to such a low value. Therefore, it is important for the company to properly maintain and replace the cash registers on a regular cycle to ensure that their value remains close to the original purchase price.

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To find the area of the resulting surface when the given curve y = 1/4x^2 - 1/2 ln(x) is rotated about the y-axis, we can use the Surface of Revolution formula:

Surface Area = 2 * pi * ∫[x * sqrt(1 + (dy/dx)^2)] dx from a to b

Here, a = 3 and b = 5.

First, we need to find the derivative of y with respect to x (dy/dx):

y = 1/4x^2 - 1/2 ln(x)
dy/dx = (1/4 * 2x) - (1/2 * 1/x) = x/2 - 1/(2x)

Now, let's plug this into the Surface of Revolution formula:

Surface Area = 2 * pi * ∫[x * sqrt(1 + (x/2 - 1/(2x))^2)] dx from 3 to 5

We will now integrate the expression within the brackets with respect to x from 3 to 5. This might be challenging to solve analytically, so we may need to use a numerical integration method or a calculator to find the exact value.

Once the integration is completed, you will obtain the surface area of the curve when rotated about the y-axis.

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Answer:

Ok, when we have an equality, like:

A = B

That says that A is the same as B.

Then if a multiply, divide, add or subtract (or do a lot of other operations) in both sides of the equality, the equality does not change.

I suppose that we start with something like:

(4/3)*x = 2

(i will work with this, because you did not post the actual equations)

the thing that Carrie did is:

She multiplies both sides by 3, and get:

3*(4/3)*x = 2*3

4*x = 6

Now she divides bot sides by 4

4*x/4 = 6/4

x = 6/4 = 3/2.

Now, a simpler step is considerin (4/3) as a number A, then we have:

A*x = 2

Now we divide both sides by A.

A*x/A = 2/A

x = 2/A

and we have A = (4/3) then 1/A = (3/4)

x = 2*(3/4) = 3/2

Answer:

25%

Step-by-step explanation:

Answer:

100%

Step-by-step explanation:

Got it correct on khan

Answer:

42.75 pounds

i think :))

Step-by-step explanation:

The length of the missing leg of the right triangle is 8sqrt(5) inches. To find the length of the missing leg of the right triangle, we can use the Pythagorean theorem.

It states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. This is Pythagorean theorem

In this case, we know that one leg measures 8 inches, and the hypotenuse measures 12 inches. Let's call the missing leg x, then we have:

8^2 + x^2 = 12^2

Simplifying, we have:

64 + x^2 = 144

Subtracting 64 from both sides, we get:

x^2 = 80

Taking the square root of both sides, we get:

x = sqrt(80)

Simplifying, we get:

x = 8sqrt(5)

Therefore, the length of the missing leg of the right triangle is 8sqrt(5) inches.

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The value of k that satisfies the condition for a probability density function(PDF) over the unit square is k = 1.

To find the value of k in the given density function f(x,y) = k(x^2 + y^2), we need to determine the constant k that satisfies the condition for a probability density function (PDF) over the unit square.

The PDF of a continuous random variable over a region must integrate to 1 over that region. In this case, we integrate f(x,y) over the unit square bounded by (0,0), (1,0), (1,1), and (0,1).

∫∫[0,1] [0,1] k(x^2 + y^2) dx dy = 1

Integrating with respect to x first, we have:

∫[0,1] k(x^2 + y^2) dx = ky^2 + (k/3)x^3 |[0,1]

Substituting the limits, we get:

k(1^2 + y^2) - k(0^2 + y^2) = k(1 + y^2) - ky^2 = k + ky^2 - ky^2 = k

Now, integrating the result with respect to y over [0,1], we have:

∫[0,1] k dy = k[y] |[0,1]

Substituting the limits, we get:

k(1) - k(0) = k

Therefore, the value of k that satisfies the condition for a PDF over the unit square is k = 1.

For the second part of the question, the joint probability density function f(x,y) given is incomplete. Therefore, the answer could not be given.

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Answer:

15 gallons per mile

Im Not sure.

Hope it helps.

Answer:

the graph has two relative maximums

Step-by-step explanation:

Let's denote the age of the daughter as 'x' years.

According to the given information, the mother is 30 years older than her daughter, so the mother's age would be 'x + 30' years.

Five years ago, the mother's age was 'x + 30 - 5' years, and the daughter's age was 'x - 5' years.

At that time, the mother was four times as old as her daughter, which gives us the equation:

x + 30 - 5 = 4 * (x - 5)

Simplifying the equation:

x + 25 = 4x - 20

Combining like terms:

25 + 20 = 4x - x

45 = 3x

Dividing both sides by 3:

x = 15

Therefore, the daughter is 15 years old.

Substituting this value back into the equation for the mother's age:

Mother's age = x + 30 = 15 + 30 = 45

Therefore, the mother is 45 years old.

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Answer:

I hope this helps! I you have any more questions, then contact me at 3856026122

Step-by-step explanation:

Since we have given that Sherman goes golfing every 6th day ,

And, Brad goes golfing every 7th day,

According to question, if Sherman and Brad both went golfing today,

We need to find the "Day at which they will go golfing together again" .

For this we need to find the  first common multiple of 6 and 7 which is given by doing 6X7=42

Hence,

At 42nd day, Sherman and Brad will go golfing together again.

The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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Given:

Present value = 150,000

Future value=223000

rate = 4.90% compunded quarterly.

To find the number of periods,

Answer: 32.6 years that means 32 years and 6 months.

The chi-square statistic should not be used under certain circumstances, specifically when the expected frequencies in any cell of the contingency table meet certain criteria.

The two conditions that indicate when the chi-square statistic should not be used are if the expected frequencies are greater than 5 for any cell or if the expected frequencies are less than 5 for any cell. When the expected frequencies are greater than 5, it implies that the sample size is large enough, and the chi-square test can be considered valid and reliable. However, when the expected frequencies are less than 5, it may lead to unreliable results and less accurate statistical inference. In such cases, the assumptions underlying the chi-square test may not hold, and alternative methods or tests should be considered, such as Fisher's exact test or Monte Carlo simulation. Using the chi-square test with expected frequencies that do not meet these criteria can lead to inflated type I error rates and unreliable conclusions. Therefore, it is important to assess the expected frequencies in each cell of the contingency table before applying the chi-square test and consider alternative approaches if the conditions are not met.

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The justification for each step in the flowchart proof is given as:

A. given

B. definition of congruent

C. definition of bisect

A segment that divides an angle into two equal halves is known as an angle bisector.

In the image attached below, we want to prove that BC is an angle bisector of angle ABD.

The following justofy each step in the flowchart proof:

m∠ABC ≅ ∠CBD (given)

m∠ABC ≅ ∠CBD (definition of congruent)

BC bisects ABD (definition of bisect)

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Answer:

Step-by-step explanation:

The original claim was based on 12 parts, the fraction of the pizza you ate is 10/12= 5/6. Therefore, you ate 5/6 of a large pizza.

If you initially claimed that you could eat 12 of a large pizza, it means that the whole pizza can be divided into 12 equal parts, and you thought you could consume all of them. However, you ended up eating only 5/6 of what you believed you could eat.

To determine the fraction of the pizza you actually consumed, we need to compare the amount you ate with the total amount of the pizza.

The amount you ate is given as 5/6 of what you claimed you could eat, which means you ate (5/6) ×12 = 60/6 = 10 parts of the pizza.

Since the original claim was based on 12 parts, the fraction of the pizza you ate is 10/12. To simplify this fraction, we can divide the numerator and denominator by their greatest common divisor, which is 2:

10/2 divided by 12/2 equals 5/6.

Therefore, you ate 5/6 of a large pizza. This means you consumed five out of six equal parts of the pizza you initially claimed you could eat.

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

3 whole 1/3

So to convert mixed to improper, you multiply the denominator with the whole number and then add your answer to THAT to the numerator

Like 3(d) x 3(w)=9

9(ans) + 1(n)= 10

So 10 is your answer and since the denominator always stays the same.it'll remain three and your final answer will be:

10/3

Answer:

8x^6

Step-by-step explanation:

Answer:

It depends on what shape your talking about, like: a rectangle - Length  multiplied by Width

Step-by-step explanation:

Hope this helped, plz mark as brainiest :)