8) A diver is swimming 20 feet below sea level. He sees asea turtle 10 feet below him. How deep is the sea
turtle? Write a mathematical expression to represent
the situation.

Answer:

How do I ask a question on here?

Step-by-step explanation:

Answer: 12

Step-by-step explanation: you welcome

Answer:

The expression simplified is a^2

Step-by-step explanation:

Here, we are interested in writing the product as a single value.

We have; a^5 • a^-3

This is same as a^5 * a^-3

We proceed here using the first law of indices;

It would result to a^5 * a^-3 = a^(5-3) = a^2

Answer:

Step-by-step explanation:

In the Complete Model of the Household, where β(1+r)=1, the relationship between the optimal levels of consumption today (C) and consumption tomorrow (C') is such that C and C' are equal.

In the Complete Model of the Household, the objective is to maximize the household's lifetime utility. The subjective discount factor, β, represents the household's preference for consumption today versus consumption in the future. The interest rate, r, reflects the rate at which the household can trade consumption today for consumption in the future.

The equation β(1+r)=1 implies that the household values consumption in the present and future equally. This means that the optimal levels of consumption today and consumption tomorrow are the same. The household is indifferent between consuming a unit of a good today or saving it to consume in the future. Therefore, the household will allocate its resources in a way that allows for equal consumption levels in both periods.

In other words, if the household saves a portion of its income to increase consumption in the future, the discount factor β ensures that the utility gained from future consumption is equivalent to the utility gained from present consumption. The relationship between C and C' being equal suggests that the household achieves intertemporal consumption smoothing, maintaining a constant level of consumption over time.

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Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b

where m is the slope of the line and b is the y intercept (value of y when x = 0).

Given the equation of two lines as \(y=m_1x+b_1\ and\ y=m_2x+b_2\), the two lines are parallel to each other if \(m_1=m_2\). Also the lines are perpendicular if

\(m_1m_2=-1\)

Given line BC:

3x + 2y = 8

2y = -3x + 8

y = -3x/2 + 4

Hence the slope of the line BC = -3/2

For line AD:

-3x - 2y = 6

-2y =3x + 6

y = -3x/2 - 3

Hence the slope of line AD is -3/2

Since both line BC and AD have equal slope (-3/2), hence both lines are parallel to each other

The most appropriate choices of origin and scale for the graph are given as follows:

The most appropriate scale one of a graph is one that permits the reader to visualize the data and noting the differences in the data.

In the context of this problem, the values of x from the table increase 1 by 1, hence a large scale would not give the reader a chance to visualize the data, hence a scale of 1 should be used.

The values of y, otherwise, range from 300 to 1200, meaning that a small scale would be bad for the readability of the graph, and thus a scale of 100 should be used for the values of y, giving the readers a chance to visualize the differences between 300 and 1200.

The origin of the graph should be the point (0,0), as both x and y assume only positive values, hence only the first quadrant is needed to plot the graph.

The table is missing and is given by the graph at the end of the answer.

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The solution to the cubic expression by using the long division method is \(\mathbf{2x^2-2x-1+\dfrac{8}{4x+5}}\)

Long division is a method for calculating the quotient by dividing one integer (the dividend) by another number (the divisor). It is named "long division" because it consists of a succession of stages that are performed one after the other, much like lengthy division by hand.

A long division method is a dependable approach for determining the precise quotient of two integers. From the given information, we have:

\(\ \ \ \ \ \ \ \ \ \ \ \ 2x^2 -2x-1 \\ \\ ------------\\ \\ 4x+5||8x^3+2x^2-14x+3} \\ \\\)

\(. \ \ \ \ \ \ \ \ -8x^3-10x^2 \\ \\ . \ \ \ \ \ \ \ \ \ ----------\)

\(. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -8x^2-14x \\ \\ . \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ + 8x^2+10x \\ \\ . \ \ \ \ \ \ \ \ \ ----------\)

\(. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -4x+3 \\ \\ . \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ + 4x+5 \\ \\ . \ \ \ \ \ \ \ \ \ ----------\)

\(. \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ +8\)

Therefore, we can conclude that the final answer for this long division method is the quotient plus the remainder over the divisor.

\(\mathbf{2x^2-2x-1+\dfrac{8}{4x+5}}\)

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the answer is c.C. The opposite sides in a rectangle are equal.

Answer:

I think is C

Step-by-step explanation:

well i just know

Answer:

no solution

Step-by-step explanation:

5n + 1 = 5n - 1 ( subtract 1 from both sides )

5n = 5n - 2 ( subtract 5n from both sides )

0 = - 2 ← not possible

this indicates that the equation has no solution

The measure of <1 is 147 degree.

Given:

m∠2 = 12x - 15

m∠7 = 3x + 21

Since angles 2 and 7 are alternate Exterior angles, they are congruent.

So, 12x - 15 = 3x + 21

12x - 3x = 21 + 15

9x = 36

x = 4

So, <2 = 12x - 15= 48 - 15 = 33

Now, <1 + <2 = 180 (Linear Pair)

<1 + 33 = 180

<1 = 147 degree

Thus, the measure of <1 is 147 degree.

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The limit from the left and the right are not equal, limx→−1f(x) does not exist.

The given piecewise function is:

f(x) =

2x^2 − 3x − 2, if x ≤ -1

−x^2 + 2x + 1, if -1 < x < 2

−2x^2 − x − 1, if x ≥ 2

To evaluate limx→−1f(x), we need to find the limit of the function as x approaches -1 from both the left and the right sides.

From the definition of the piecewise function, we can see that the middle piece of the function is undefined at x = -1, so we cannot use that piece to evaluate the limit at this point.

However, we can evaluate the limits of the other two pieces. For x ≤ -1, the limit is:

limx→-1- f(x) = limx→-1- (2x^2 − 3x − 2) = 3

For x ≥ 2, the limit is:

limx→-1+ f(x) = limx→-1+ (−2x^2 − x − 1) = -2

Since the limit from the left and the right are not equal, limx→−1f(x) does not exist.

In calculus, finding the limit of a function is an important concept. The limit of a function is the value that the function approaches as its input approaches a particular value or point. In this problem, we are asked to evaluate the limit of a piecewise function at a specific point.

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The total cost of building the raised garden bed and adding mulch will be $12 + $39.90, which is $51.90.

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To determine if building a raised garden bed with mulch is within your budget of $40, you need to calculate the cost of the materials.

Assuming each panel is 12 inches by 12 inches, six panels will cover an area of 2 feet by 2 feet or 48 inches by 48 inches.

So the total area of the garden bed will be 48 inches by 48 inches, which is 2,304 square inches.

To build the garden bed, you will need 6 panels, which cost $2 each, for a total of $12.

To calculate the amount of mulch you need, divide the area of the garden bed (2,304 square inches) by the coverage of one bag of mulch (240 square inches), which gives you 9.6 bags of mulch.

Since you can't buy a fraction of a bag, you'll need to round up to 10 bags of mulch.

The total cost of the mulch will be 10 bags x $3.99 per bag, which is $39.90.

Therefore, the total cost of building the raised garden bed and adding mulch will be $12 + $39.90, which is $51.90.

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Answer:

\( x = \frac {30}{r} + 2 \)

Step-by-step explanation:

Given the following data;

To find how many times greater is the S.A compared to the area, we would have to divide the surface area (S.A) of the cylinder by the area of circle.

Let the unknown variable be x.

\( x = \frac {30 \pi r + 2 \pi r^{2}}{\pi r^{2}} \)

Factorizing the numerator, we have;

\( x = \frac {\pi r(30 + 2r)}{\pi r^{2}} \)

Dividing both sides by πr, we have;

\( x = \frac {30 + 2r}{r} \)

Simplifying further, we would have;

\( x = \frac {30}{r} + 2 \)

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

Answer:

if all the corners are 90 degree angles:

x = -12

Step-by-step explanation:

2x+3 = x-9

x = -12

Answer:

2x+3=x-9

2x-x=-9-3

x=-12

Step-by-step explanation:

or it is 6

2x+3=x-6

2x-x=-6-3

x=-9

The test statistic would be 1.545.

To calculate the test statistic, we would need to use a one-tailed z-test for proportions, which is:

test statistic = (p (sample) - p (null hypothesis)) / (SE (p))

In this case,

p (sample) = 83/113 = 0.7346

p (null hypothesis) = 0.69

SE (p) = √(p (1-p) / n) = √(0.69 × 0.31 / 113) = 0.0269

So, the test statistic would be:

(0.7346-0.69) / 0.0269 = 1.545

Therefore, the test statistic would be 1.545.

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Answer:

185/198

Step-by-step explanation:

Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways

Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have

For the first selection 3 of one category, and 1 each of the other categories.

The second selection is 2 each of two categories and 1 of the last category.

So, doing this for each category, we have

⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁

= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)

= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4

= 60 + 180 + 20 + 90 + 360 + 30

= 740 ways

So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198

The absolute maximum value of f on R does not exist, while the absolute minimum value of f on R is 6.

To find the absolute maximum and minimum values of f on R, we need to consider the critical points in the interior of R and the points on the boundary of R.

First, we find the critical points by taking the partial derivatives of f with respect to x and y, and setting them equal to 0:

fx = 6x - 6 = 0, fy = 7 = 0

Solving these equations gives us the critical point (1, 0).

Next, we find the values of f at the corners of R:

f(0, 1) = 10, f(0, -1) = 22, f(2, 1) = 6, f(2, -1) = 18

Finally, we check the values of f on the boundary of R by parametrizing the boundary curve as (t, 1-t^2) for 0 ≤ t ≤ 2. Evaluating f at these points gives us a minimum value of 6 at t = 2.

Since there is no maximum value of f on R, we conclude that the absolute maximum value does not exist. The absolute minimum value of f on R is 6.

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Answer:

4 batches: \(2\frac{2}{3}\) cups

7 batches: \(4\frac{2}{3}\) cups

Step-by-step explanation:

If he uses 2/3 cup of flour for each batch, then that is 2/3 four times, or 2/3 · 4.

\(\frac{2}{3}\) × \(\frac{4}{1}\)

= \(\frac{8}{3}\)  = \(2\frac{2}{3}\)

If he makes three more, than that will be 7 batches in total. We can multiply 2/3 by 3 to find out how much will be needed for those extra three, then add that product to \(2\frac{2}{3}\).

\(\frac{2}{3}\) × \(\frac{3}{1}\)

= \(\frac{6}{3}\)  = 2

\(2\frac{2}{3} +2\)  = \(4\frac{2}{3}\)

Thus, \(2\frac{2}{3}\) and \(4\frac{2}{3}\) are the answers.

hope this helps!

In the first circle, the measure of angle ABC is 24°

In the second circle, the measure of angle ABC is 20°

From the question, we are to determine the measure of angle ABC

In the first diagram,

The measure of the arc is 48°

From one of the circle theorems, we have that

The angle subtended by an arc in a circle is twice the angle subtended at the circumference.

Then, we can write that

2 × ∠ ABC = 48°

∠ ABC = 48°/2

∠ ABC = 24°

Question 5

Using the same theorem,

The angle subtended by an arc at the center of the circle is twice the angle subtended at the circle

∠ ABC = 1/2 × 40°

∠ ABC = 20°
Hence, the measure of the angle is 20°

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Answer: 3:4

Step-by-step explanation:

If you actually divide it’ll make since , so first you want to divide the 2 , then you want to multiply the third of the two when you do that you have your answer

There are 360 possible pizza configurations possible.

To find the number of pizza configurations that a customer can choose, use the fundamental principle of counting where we multiply the number of choices for each category.

For the pizza size, there are 3 options to choose from.

For the toppings, there are 10 options for the first topping, 9 options for the second topping, and 8 options for the third topping.

However, since the order of the toppings doesn't matter (e.g. pepperoni, sausage, and mushroom is the same as mushroom, sausage, and pepperoni), we have to divide the result by the number of ways to arrange each group of toppings, which is 3! (factorial of 3).

So, the number of pizza configurations that a customer can choose can be calculated as follows:

Number of configurations = 3(10)(9)(8) / 3!

= 3(720) / 6

= 3(120)

= 360

Therefore, there are 360 possible pizza configurations that a customer can choose.

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The internal rate of return on the investment for Burgundy Basins is 13.33%.

The internal rate of return on the investment for Burgundy Basins represents the percentage return expected from the investment, which is 13.33% in this case. It indicates the rate at which the investment's net present value is zero, meaning it is expected to generate returns equal to its cost. This makes the investment financially attractive as it offers a return higher than the company's cost of capital.

Burgundy Basins, a sink manufacturer, is considering an average-risk investment worth $36 million. The investment is projected to generate a perpetual annual return of $4.8 million. To evaluate the attractiveness of the investment, the internal rate of return (IRR) is calculated. The IRR represents the rate at which the net present value of the investment becomes zero.

In this case, the IRR is determined to be 13.33%, indicating that the investment offers a return higher than its cost. This implies that the investment is financially viable and can potentially enhance the company's profitability. However, it's important to note that other factors such as market conditions and potential risks should also be taken into consideration before making a final decision.

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Answer:

Interval Notation: (-∞, ∞)

Any value of x makes the equation always true.

There is no other answer.

Step-by-step explanation:

\( {2}^{x - 2} = \\ {2}^{0 } = 1\)

\( {2}^{x - 2} = {2}^{1} = 2\)

Answer:

The value of the slope of the line is 1

Step-by-step explanation:

Here, we want to find the value of the slope of the line that passes through the given points

Mathematically, we have the equation as;

m = (y2-y1)/(x2-x1)

(x1,y1) = (4,-11)

(x2,y2) = (7,-8)

substituting these values in the slope equation, we have;

m = (-8-(-11))/(7-4) = 3/3 = 1

Answer:

a. A number c is less than 4. A number c is less than 4. c. < An inequality is c < 4.

b. A number k plus 5 is greater than or equal to 8. A number k plus 5 is greater than or equal to 8. k + 5. ≥ ...

Step-by-step explanation:

Answer:

\(26m^{2}\)

Step-by-step explanation:

To solve this problem you find the total area of the entire rectangle and subtract the area of the sand from it. That will give you the area of the grass.

To find the total area you need to do \(b*h\), in this case, the base is \(2+3+2\) or 7. The height is 5. So to find the area, you have to multiply  \(7*5\) to get\(35m^{2}\).

To find the area of the grass you multiply the \(b*h\) or \(3*3\) to get the area of 9.

Now the last step is to subtract \(35 - 9\), doing so gives you your answer of 26 m

I would love to get Brainliest. I'm trying to get to the Genius status on Brainly.

Answer:

→Boys=6

→Girls=14

Step-by-step explanation:

\(Solution,\\\\Ratio\:of\:boys\:to\:girls=3:7\\\\Total\:students=20\\\\Let,\\\\\hookrightarrow Boys=3x\\\\\hookrightarrow Girls=7x\\\\Now\:we\: have,\\\\\hookrightarrow 3x+7x=20\\\\\hookrightarrow 10x=20\\\\\hookrightarrow x=20/10=2\\\\Again,\\\\\hookrightarrow Boys=3x=3\times2=6\\\\\hookrightarrow Girls=7x=7\times2=14\)