Adam and Eric went hiking at different times. Adam is currently 73 feet above sea level while Eric is just starting at 24 feet below sea level. What is the difference in their elevations?

Given function is f(x) = 3x³ - 9x² + 12So, f’(x) = 9x² - 18xOn equating f’(x) = 0, 9x² - 18x = 0 ⇒ 9x(x - 2) = 0The stationary points are x = 0 and x = 2.The nature of each stationary point is determined as follows:At x = 0, f’’(x) = 18 > 0, which indicates a minimum point.

At x = 2, f’’(x) = 36 > 0, which indicates a minimum point.Second derivative f’’(x) = 18x - 18The points of inflection can be determined by equating f’’(x) = 0:18x - 18 = 0 ⇒ x = 1The x-coordinate of the point of inflection is x = 1.Now we can find the y-coordinate by using the given function:y = f(1) = 3(1)³ - 9(1)² + 12 = 6The point of inflection is (1, 6).

Therefore, the first derivative is 9x² - 18x and the stationary points are x = 0 and x = 2. At x = 0 and x = 2, the nature of each stationary point is a minimum point. The second derivative is 18x - 18 and the point of inflection is (1, 6).

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The value of x = 0.125 or 1/8

10x^2 + 8x - 3/ 5x^2

=10x^2+ 8x -3 / 5x^2 [ cancel the 5 divisible]

=2 +8x -3/1 [10x^2 is canceled by 5x^2, i.e. 10/5]

=2+8x-3

=-1+8x

Future transfer the constant to other side of the expression

-8x=-1

 -x=-1/8 [- on both the sides get canceled]

  x=1/8

   (or)

  x= 0.125

The is of the type quadratic expression with 2 degree and one variable. It is of the form ax^2 + bx +c. A quadratic equation is a second order equations. Where a, b, c are constants and x is variable. a can never be equal to zero.

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Answer:

14

Step-by-step explanation:

tan41° = opposite / adjacent

tan41 = 12/x

x ( tan41 ) = 12

X = 12/tan41°

X = 13.80

when rounded off = 14

Answer:

17-5

Step-by-step explanation:

lol XD I spent alot of time trying to answer this you better say thanks

The following are the statements with explanation whether the statement is true or false, using rank-nullity theorem and invertible matrix theorem.

a. False. According to the rank-nullity theorem, the rank of a matrix plus its nullity equals the number of columns. As a result, a 7 x 4 matrix can only have a rank of 4, because the nullity cannot be negative.

b. False. According to the rank-nullity theorem, the nullity of a matrix plus its rank equals the number of columns. As a result, because the rank cannot be negative, a 4 x 7 matrix can have a maximum nullity of 3.

c. True. According to the rank-nullity theorem, the nullity of a matrix plus its rank equals the number of columns. As a result, a 7 x 4 matrix has a maximum nullity of 3, implying that it can have a nullity 5.

d. True. According to the rank-nullity theorem, the rank of a matrix plus its nullity equals the number of columns. As a result, if A is a 7 x 4 matrix, rank(A) + nullity(A)= 4 + nullity(A) = 7. When we solve for nullity(A), we get nullity(A) = 3, therefore rank(A) + nullity(A) = 4 + 3 = 7.

e. False. According to the rank-nullity theorem, the nullity of a matrix plus its rank equals the number of columns. As a result, if A is a 6 x 8 full-rank matrix, its nullity is 8 - 6 = 2, rather than nullity(A) = 2² = 4.

f. True. According to the invertible matrix theorem, a full-rank matrix has a unique solution for any non-zero right-hand side vector b. As a result, the system Ax = b is always consistent for every non-zero b.

g. True. According to the invertible matrix theorem, a full-rank matrix has a unique solution for each right-hand side vector b. As a result, the system Ax = b will always have a distinct solution for any b.

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The period of sin(t) is 27 and the period of sin(wt) is also 27.

The period of sin(wt) can be found by using the formula T = 2π/ω,

Where, T is the period and

ω is the angular frequency.

Since sin(t) has a period of 27,

We know that 2π/ω = 27.

Solving for ω,

We get ω = 2π/27.

Now we can use this value of ω to find the period of sin(wt).

Using the same formula as before, we get

T = 2π/ω

  = 2π/(2π/27)

  = 27.

So the period of sin(wt) is also 27.

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Answer:

I wasn't sure on the last two but I got the rest.

Answer:

For point P to be the centroid of triangle JKL, the following must be true:

- P must be the intersection point of the three medians of the triangle, which are the line segments connecting each vertex to the midpoint of the opposite side.

- Each median must pass through P, dividing the median into two equal parts.

- The centroid is the center of mass of the triangle, so the three medians must intersect at a point that divides each median into two parts in the ratio of 2:1.

Option 3 satisfies all these conditions. If LN is a perpendicular bisector of JK, then it passes through the midpoint of JK, dividing it into two equal parts. Similarly, JO is a perpendicular bisector of LK and MK is a perpendicular bisector of JL, so they each pass through the midpoint of the opposite side, dividing it into two equal parts. Therefore, all three medians pass through P and divide each median into two parts in the ratio of 2:1, making P the centroid of triangle JKL.

Answer: C

JM = ML, LO = OK, and KN = NJ.

Step-by-step explanation:

I just finished the review, Good luck y'all.

Answer:

Option 3

Step-by-step explanation:

3/2 times x - 3 = y can also be:

y=3/2 times x-3

-3 is the y-intercept. This is one of the points, (0,-3).

Now, you need to solve for x. Say y equals 0.

3/2 times x-3 will equal 0.

3/2 times 2 = 6/2 which equals 3. You can solve the equation now.

3/2 times 2 - 3 = 0

2 is the x-intercept. This is the other point in the line, (2,0).

So the answer is Option 3

Hey there!

1,000:

= 2 × 2 × 2 × 5 × 5 × 5

= 4 × 2 × 5 × 5 × 5

= 8 × 5 × 5 × 5

= 40 × 25

= 1,000

180:

= 2 × 2 × 3 × 3 × 5

= 4 × 3 × 3 × 5

= 12 × 15

= 180

LOOKING FOR THE LCM (Lowest Common Multiple)

(1,000 × 180) ÷ 20

= 180,000 ÷ 20

= 9,000

[Answer: 9,000]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

4b^2(b^3-8

=4b×2(b×3-8

=8b×2b×3-8

=16b×3-8

=48b-8

=40#

When a coin is weighted, there is a two-thirds chance that it will land on its head. suppose you toss this coin 15 times. let x represent the number of heads. Mean = 10 and Standard deviation = 2.88

The mean of x, which represents the number of heads when the coin is tossed 15 times, is 10. This is because the probability of getting heads is two-thirds, meaning that two out of every three tosses will result in heads.We apply the following formula to determine the standard deviation:

Standard Deviation = √(p*q*n), where p is the probability of getting heads, q is the probability of getting tails, and n is the number of tosses. In this case, p = 2/3, q = 1/3, and n = 15, so the standard deviation of x is 2.88.

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The length of the side of the frame will be 6.33  to the nearest inch.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square would be;

Area of the square = a² square units

We have been given that Rafael is constructing a square-shaped frame. And the frame has a 40 square inches surface area.

A = a²

40 = a²

a = √40

a = 6.33 inches

Hence, The length of the side of the frame to the nearest inches will be 6.33  to the nearest inch.

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Answer:

I believe the answer is D.

Step-by-step explanation:

Probability means how likely something is going to happen.

P(black)= \(\frac{1}{15}\)

P(10) = \(\frac{10}{15} = \frac{2}{3}\)

P(an odd number) = \(\frac{8}{15}\)

P(an even number) = \(\frac{7}{15}\)

P(solid red, yellow, green) = \(\frac{4}{15}\)

P(a number less than 20) = 1

Probability relates to potential. The occurrence of a random event is the subject of this branch of mathematics. The range of values ​​is from 0 to 1. Mathematics incorporated probabilities to predict the probabilities of different events.

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Answer:

9in

Step-by-step explanation:

I´m telling you I just got it Right

Answer:

It’s A

Step-by-step explanation:

GOT IT RIGHT

1. Survey is the method of data collection to  study of the salaries of college professors in a particular state.

2. Option B is correct,  Survey is the method of data collection to  study where a political pollster wishes to determine if his candidate is leading in the polls.

1. A study of the salaries of college professors in a particular state:

To collect data for this study, the most appropriate method would be survey.

Researchers can distribute surveys to college professors in the particular state, asking them to provide information about their salaries.

This method allows for gathering specific data directly from the individuals of interest.

2. A study where a political pollster wishes to determine if his candidate is leading in the polls:

For this study, the most suitable method would be  survey.

The pollster can conduct surveys asking individuals about their voting preferences and whether they support a specific candidate.

By collecting responses from a representative sample of the population, the pollster can estimate the candidate's standing in the polls.

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Based on the given information, Carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle. Autos arrive following a Poisson distribution at the rate of 10 per hour. Using this information, Carl can calculate the expected time it would take to wash a car.

The first step is to calculate the average time between car arrivals, which is equal to 60 minutes divided by the arrival rate of 10 cars per hour, giving an average time of 6 minutes per car. Since the wash cycle time is constant at 4.5 minutes, Carl can add these two values together to get an expected wash time of 10.5 minutes per car.

However, it's important to note that this is just an expected time, and there may be variations due to factors such as queue length, equipment malfunctions, or other unforeseen circumstances. Therefore, Carl should regularly monitor his car wash operation and make adjustments as necessary to ensure efficient and consistent service.

In summary, Carl's car wash takes a constant time of 4.5 minutes in its automated car wash cycle, and with autos arriving at a rate of 10 per hour, the expected time it would take to wash a car is 10.5 minutes.

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Answer:

its easy

Look at the pictures.

Please mark brainlest

If you cant see the result is 24f+24d

Answer:

im sry but i have no idea

Step-by-step explanation:

Answer: Both types of alternate angles and corresponding angles are only congruent when formed by a transversal intersecting parallel lines.

Answer:8% started saving at or before 21

30% believe their children or grandchildren should start saving at or before 21

Step-by-step explanation: on the graph, the ones in lighter color start saving for requirements

That is 3%+5%=8%

The second solution goes thus

13%+17%= 30%

the ones in dark colors believe their children or grandchildren should start saving before 21

To determine the spot price of one Bitcoin, we can use the concept of no-arbitrage pricing. In this case, the futures contract price can be considered as the present value of the expected future spot price, taking into account the risk-free rate.

The futures contract price of $60810 per Bitcoin represents the expected future spot price one year from October 23, 2021. We can calculate the present value of this future price by discounting it at the risk-free rate of 1%. Using the formula for present value, we have:

Present Value = Future Value / (1 + Risk-free rate)

Present Value = $60810 / (1 + 0.01) = $60208.91

Therefore, the spot price of one Bitcoin closest to the given information is approximately $60208, which corresponds to option A.

Insummary, based on the information provided, the spot price of one Bitcoin is closest to $60208 (option A).

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Answer:

HIIiiiiiiiiiiiiiiiiiiIIIIIIIIIIIIIiiiiiiiiiiiiIIIIIIIIIIIIIIII

Step-by-step explanation:

Answer:

\(D.\ 4\frac{1}{2}\)

Step-by-step explanation:

Remember : 1 1/2 = (2+1)/2 = 3/2

Formula :

\(\large \text Volume\ V \ of \ a \ rectangular \ prism \ =base\ \times\ height\)

Then

\(V=\left( 2\times 1\frac{1}{2} \right) \times 1\frac{1}{2}\)

   \(=\left( 2\times \frac{3}{2} \right) \times \frac{3}{2}\)

   \(=3 \times \frac{3}{2}\)

   \(=\frac{9}{2}\)

   \(=\frac{8+1}{2} = \frac{8}{2} +\frac{1}{2} =4+\frac{1}{2} =4\frac{1}{2}\)

Answer:

$79.30

Step-by-step explanation:

22% of 65 is 14.30

14.30 + 65 = 79.30

Stay safe! <3

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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The value of the triple integral ∭E 7x dV, where E is bounded by the paraboloid x = 7y^2 + 7z^2 and the plane x = 7, is 0.

To evaluate this triple integral, we need to determine the limits of integration for each variable. Let's express the paraboloid equation in terms of y and z:

x = 7y^2 + 7z^2

Since the paraboloid is bounded by the plane x = 7, we can set up the following limits:

0 ≤ x ≤ 7
0 ≤ y
0 ≤ z

Now we can rewrite the integral as:

∭E 7x dV = ∫[0 to 7] ∫[0 to ∞] ∫[0 to ∞] 7x dy dz dx

To evaluate this integral, we integrate with respect to y first:

∫[0 to 7] ∫[0 to ∞] 7x dy dz = 7 ∫[0 to 7] xy |[0 to ∞] dz

Simplifying further, we have:

7 ∫[0 to 7] ∞ dz = ∞

Therefore, the value of the triple integral ∭E 7x dV is 0.

In conclusion, the triple integral evaluates to 0, indicating that the integral over the given region is zero.

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Answer:

20

Step-by-step explanation:

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