Samuel is deep sea. diving he dives down 735 feet from the surface of the water, and then rises back up 418 feet. he dives down another 271 feet. how far is he from the surface.

There is no linear combination of the first two vectors that is as close as possible to [0, 0, 5].

To find the linear combination of the first two vectors that is as close as possible to the third vector [3, -1, 0], we need to find coefficients x and y such that the linear combination x*[i, 2, 1] + y*[2, 0, -1] is as close as possible to [3, -1, 0].

Let's set up the system of equations:

x*[i, 2, 1] + y*[2, 0, -1] = [3, -1, 0]

This system can be rewritten as:

x + 2y = 3

2x - y = -1

Solving this system of equations, we find x = 1 and y = 1. Therefore, the linear combination that is as close as possible to [3, -1, 0] is [i, 2, 1] + [2, 0, -1] = [3, 2, 0].

(b) To find the linear combination of the first two vectors that is as close as possible to the third vector [0, 0, 5], we set up the system of equations:

x*[1, 0, 1] + y*[0, 1, 1] = [0, 0, 5]

This system can be rewritten as:

x + y = 0

x + y = 0

x + y = 5

Since the third equation is inconsistent with the first two equations, there is no solution that satisfies all three equations. Therefore, there is no linear combination of the first two vectors that is as close as possible to [0, 0, 5].

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Answer:

C. 2.75x + 2.50 ≤ 12

Explanation:

The cost of 1 hotdog = $2.75

Therefore, the cost of x hotdogs = $2.75x

Stacey also bought a bottle of water for $2.50.

Thus, the total amount Stacey spent will be:

Since she did not spend more than $12, it means:

She spent less than or exactly $12.

Thus, the inequality is:

The correct choice is C.

According to the given statement the probability that the mean sleep time per night is greater than 8 hours is very close to 1.

This means that it is highly likely for the mean sleep time to exceed 8 hours based on the given data.

To find the probability that the mean sleep time per night is greater than 8 hours, we will use the z-score formula and the standard normal distribution.

1. Calculate the standard error of the mean (SEM) using the formula:

SEM = standard deviation / sqrt(sample size).
  SEM = 2.1 / sqrt(23) ≈ 0.439.

2. Next, calculate the z-score using the formula:

z = (sample mean - population mean) / SEM.
  z = (8 - 6.3) / 0.439 ≈ 3.86.

3. Look up the z-score in the z-table or use a calculator to find the corresponding cumulative probability.

  The probability corresponding to z = 3.86 is very close to 1.

The z-score measures how many standard deviations the sample mean is from the population mean.

In this case, a z-score of 3.86 indicates that the sample mean of 8 hours is almost 3.86 standard deviations above the population mean of 6.3 hours.

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Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

First we need to place the j on one side only

So we can move "j" from left to right, doing the opposite operation

We can do the same for -9

We can operate the terms that have j and do the sum to the both sides

Then, to leave

Answer:

6.8 inches

Step-by-step explanation:

inch= 1 x

feet= 5 34

1×34÷5

The correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

Let's evaluate each option one by one:

I. x² < 2x < 1/x² < 2 < 1

If x is positive, x² will always be greater than 1/x². Therefore, this ordering is not possible.

II. x² < 1/x² < 2x < 1 < 2

Similarly, x² will always be greater than 1/x². Therefore, this ordering is also not possible.

III. 2x < x² < 2 < 1/x² < 1

For this ordering to be true, we need to confirm that 2x is indeed less than x². Since x is positive, we can divide both sides of the inequality by x to preserve the inequality direction. This gives us 2 < x. As long as x is greater than 2, this ordering holds true. Therefore, the correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

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Answer: Ix - 65°F I ≤ 5°F.

Where the solutions of this equation are the set of possible temperatures that we can have.

Step-by-step explanation:

We know that the mean temperature is 65°F.

And it may be 5°F colder or warmer.

Then the minimum temperature is 65°F - 5°F = 60°F

The maximum temperature is 65°F + 5°F = 70°F

Then the range of possible temperatures is [60°F, 70°F]

Now we can model this with an absolute value equation.

Now we have:

the mean, M = 65°

Half the difference between maximum and minimum:

d = (70°F - 60°F)/2 = 5°F.

Now we can write the absolute equation:

I x - M I ≤ d

Where x represents the possible temperatures that we can have

in this case are:

Ix - 65°F I ≤ 5°F.

Answer:

30

Step-by-step explanation:

What is 6, 5 five times?

Or 5x6?

Answer:

16, 8, 36

Step-by-step explanation:

To solve for x for the first answer, multiply 4 by y

\(y = \frac{x}{4} \\\\y (4) = x\\\\x = 4(4)\\ x= 16\)

To solve for x for the second answer, multiply 2 by y

\(y = \frac{x}{4} \\\\y (4) = x\\\\x = 2(4)\\ x= 8\)

To solve for x for the third answer, multiply 9 by y

\(y = \frac{x}{4} \\\\y (4) = x\\\\x = 9(4)\\ x= 36\)

Answer:

52

Step-by-step explanation:

£:€

3:4

39:x

we need to figure out what to multiply three to get 39

So we write the following equation

3x=39

divide and get x=13

then mulitply 4 by 13 and get 52

52 euros

Answer:

2

Step-by-step explanation:

You are trying to find (f' o f)(2).  This means that you need to put f(x) into f'(x) and solve for 2.

First, find f'(x).  To do this, take the original function and switch the x and y values.

y = 2x⁵ + 12

x = 2y⁵ + 12

x - 12 = 2y⁵

(x - 12)/(2) = y⁵

y = ⁵√(x - 12)/(2)

Now, you need to put f(x) into the inverse function through the x-value.  Simplify completely.

y = ⁵√((2x⁵ + 12) - 12)/(2)

y = ⁵√((2x⁵)/(2)

y = ⁵√x⁵

y = x

Now plug in the value given to you.

(f⁻¹ o f)(2) = 2

The answer is 2.

The (d^2 y / dt^2) (0) = -28/125.

The ordinary differential equation given is dy/dt = (4 - 4y) / (5 + 3y) with the initial condition y(0) = 0. To find (d^2 y / dt^2) (0), we need to find the second derivative of y with respect to t at t = 0.

First, let's find the first derivative of y with respect to t at t = 0. Using the initial condition y(0) = 0, we can plug in t = 0 into the equation to find dy/dt at t = 0:

dy/dt = (4 - 4y) / (5 + 3y)

dy/dt = (4 - 4(0)) / (5 + 3(0))

dy/dt = 4/5

So the first derivative of y with respect to t at t = 0 is 4/5.

Next, we need to find the second derivative of y with respect to t at t = 0. To do this, we can take the derivative of the first derivative with respect to t:

d^2 y / dt^2 = d/dt (dy/dt)

d^2 y / dt^2 = d/dt (4 - 4y) / (5 + 3y)

Using the quotient rule, we can find the derivative of the right hand side of the equation:

d^2 y / dt^2 = [(5 + 3y)(-4dy/dt) - (4 - 4y)(3dy/dt)] / (5 + 3y)^2

Now we can plug in t = 0 and dy/dt = 4/5 into the equation to find the second derivative at t = 0:

d^2 y / dt^2 = [(5 + 3(0))(-4(4/5)) - (4 - 4(0))(3(4/5))] / (5 + 3(0))^2

d^2 y / dt^2 = (-16/5 - 12/5) / 25

d^2 y / dt^2 = -28/125

So the second derivative of y with respect to t at t = 0 is -28/125.

Therefore, (d^2 y / dt^2) (0) = -28/125.

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The function that is represented in the diagram is y/-1 = f(x + 5).

As per the information provided, it is given that there are two graphs

There are two diagrams available in black and white.

Let the graph of the function is y = f(x).

If the function is shifted vertically to the left, then the function can be rearranged as,

y = f(x + k), k > 0.

The function is shifted vertically 5 units to the left.

Therefore, the function can be rewritten as,

y = f(x + 5).

Now, the red part of the function is symmetric about the x-axis with respect to y.

Therefore, the function can be rewritten as,

y/-1 = f(x + 5).

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The complete question:

The black graph is the graph of y = f(x). Choose the equation for the red graph. A. y - 5 = f() B. = f(x + 5) C. = f(x - 5) D. y + 5 = f(x/-1)​

The experimental design of randomly assigning identical clones to teaching methods A and B minimizes the random variability attributable to individual differences, allowing for a clearer assessment of the impact of the teaching methods on the outcome of interest.

In this experimental design, 16 identical clones of a PSYC1040 student are created, which means that there is no variability attributable to individual differences among the participants. Since the clones are identical, they share the same genetic makeup and characteristics, eliminating the influence of individual differences on the outcome of the experiment. As a result, the random assignment of these clones to teaching methods A and B ensures that any observed differences in the outcomes can be attributed to the effect of the teaching methods rather than individual variability.

In the context of experimental design, random assignment is used to minimize the impact of confounding variables. Confounding variables are factors other than the treatment being studied that can influence the outcome. By randomly assigning the clones to the teaching methods, the influence of confounding variables is controlled, as any potential confounding variables would be evenly distributed among the two groups.

The experimental design described does not mention the manipulation of situational variables, as the focus is on comparing the effects of the two teaching methods. Therefore, the random variability attributable to situational variables is not a major concern in this scenario.

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Answer:quotient property

Product property

Step-by-step explanation:

Just took the test

Product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

A logarithm is the power to which a number must be raised in order to get some other number

The given expression is

log 200+log 5-log 100.

The sum property of logarithms is

log a+ log b= log ab

This is also a product property.

log 1000-log 100

Now we use quotient property

log 1000/100

log 10

Hence, product and quotient properties are required to solve or simplify the  log 200 + log 5 - log 100

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Answer:

Let the number be x,

x ≥ 4

If my answer helped, please mark me as the brainliest!!

Thank You!!

Answer:

Divide each term in

0.3x<6 by 0.3 and simplify.

Inequality Form:

x<20

Interval Notation:(−∞,20)

Step-by-step explanation:

The result is approximately 0.0366. Comparing this value with the given options, the closest answer is e. 0.04.

Given X is an exponential random variable with λ = 4. We want to find f_Y(0), where Y = -2X + 2.
First, let's find the inverse transformation of Y:  X = (2 - Y)/2
Now, we'll find the Jacobian of the transformation:
dX/dY = -1/2

Next, we'll find the probability density function (PDF) of X: f_X(x) = λe^(-λx) = 4e^(-4x)
Now we can find the PDF of Y using the formula: f_Y(y) = f_X((2 - y)/2) * |dX/dY|
Substitute the values: f_Y(y) = 4e^(-4(2 - y)/2) * |-1/2|
Now we can find f_Y(0): f_Y(0) = 4e^(-4(2 - 0)/2) * |-1/2| f_Y(0) = 4e^(-4) * 1/2

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No Solutions

5−4+7x+1 =

x + 2

One Solution

5−4+7x+1 =

x - 2

There are 90 moon marshmallows in a large box of Fortunate Flakes.

Let the number of rainbow marshmallows = r

Let number of sun marshmallows = cloud marshmallows = s

Let the number of moon marshmallows = 3r

r + s + 3r + s = 150

4r + 2s = 150

If there are twice as many rainbow marshmallows as sun marshmallows, our new equation becomes;

r = 2s

4(2s) + 2s = 150

10s = 150

s = 150/10

s = 15

Now we have 15 sun marshmallows, 15 cloud marshmallows, and 2s = 30 rainbow marshmallows.

Also, there are 3r = 3(30) = 90 moon marshmallows.

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Answer:

Step-by-step explanation:

My friend is a virtue because he is very upright. The patience that he has is very virtuous, and during school, he shows high moral standards and you can see it by the grades he gets.

Hope this helped a little!

Check the picture below.

\(\textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left( ~~ \cfrac{\pi \theta }{180}-\sin(\theta ) ~~ \right) \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =60 \end{cases} \\\\\\ A=\cfrac{8^2}{2}\left( ~~ \cfrac{\pi (60) }{180}-\sin(60^o ) ~~ \right)\implies A=32\left( ~~ \cfrac{\pi }{3}-\sin(60^o ) ~~ \right) \\\\\\ A=32\left( ~~ \cfrac{\pi }{3}-\cfrac{\sqrt{3}}{2} ~~ \right)\implies A=\cfrac{32\pi }{3}-16\sqrt{3}\implies A\approx 5.8~in^2\)

Answer:

The first question's answer is c 1.0, 2.0, 3.0

Step-by-step explanation:

Answer:

1. A) 4.0; 4.5; 5.0

2. A) Shadow hours are when a student follows a professional who is working in a job that the student is interested in pursuing.

3. C) Extracurricular activities show that a student is an active well-rounded individual.

4. D) All of the above

5. A) Associte's degree

6) D) A Doctoral degree

I hope this helps you

The slope of the tangent line to a given polar curve at a specified point

1. Determine the polar equation: Identify the equation that describes the polar curve. It should be in the form

\( r = f(θ).\)
2. Convert to Cartesian coordinates: Use the relationships

\( x = r*cos(θ) and y = r*sin(θ)\)

to convert the polar equation to Cartesian coordinates.
3. Find the derivatives: Compute the first derivatives of x and y with respect to

\(θ (dx/dθ and dy/dθ) \)

using the chain rule and product rule.
4. Determine the slope dy/dx: Use the quotient rule to find the slope of the tangent line by dividing

\(dy/dθ by dx/dθ (dy/dx = (dy/dθ) / (dx/dθ)).\)
5. Plug in the specified value of θ: Substitute the given value of θ into the slope equation to find the slope of the tangent line at that point.
Remember to simplify your expressions as much as possible throughout the process, and be careful with trigonometric identities and rules of differentiation.

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