PLEASE HELP, NEEDS TO BE A PARAGRAPH


Scientists believe that some other planets in the universe might have a geologic structure similar to Earth’s, including a mantle and an outer layer made of plates.


Imagine that scientists have found a planet with an outer layer divided into plates made of hard, solid rock, but the mantle below the plates is made of hard, solid rock instead of soft, solid rock as it is on Earth.


Do you think plate motion would take place on that planet? Why or why not?

(Use the words in the Word Bank if it helps you answer the question.)



Word Bank

mantle outer layer plate plate boundary

Answer:

k=1

Step-by-step explanation:

\(3k + 8 = 11\\\)

Subtract 8 from both sides

\(3k = 3\)

Divide

\(\frac{3k}{3} = \frac{3}{3}\)

Simplify

\(k =1\)

Answer:

k=1

Step-by-step explanation:

No, f is not a function from Z to R because it is undefined for n = ±2, and a function must be defined for all inputs in its domain.

(a) f(n) = ±n:

No, f is not a function from Z to R because for each n, it has two possible outputs, +n and -n. A function must have only one output for each input.

(b) f(n) = √(n^2 + 1):

Yes, f is a function from Z to R because for each n, it has only one possible output which is a real number.

(c) f(n) = 1/(n^2 - 4):

No, f is not a function from Z to R because it is undefined for n = ±2, and a function must be defined for all inputs in its domain.

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The equation of the plane tangent to the given surface at the point (0,-2,-4) is given by:
2x + 8y + 16z = -192.

To derive this equation, let's first recall the general equation of a plane, which is given by ax + by + cz + d = 0.
Since the plane is tangent to the surface, the plane passes through the given point (0,-2,-4). Substituting these values in the general equation of a plane, we get:

0 + 8(-2) + 16(-4) + d = 0

Solving for d gives us d = 192. Substituting this value in the general equation of a plane, we get:

ax + by + cz + 192 = 0

Since the given surface is given by yze^(xz)-8 = 0, we can calculate the partial derivatives of the given surface w.r.t. x, y, and z. This gives us:

2x + 8y + 16z = 0

Adding 192 to both sides gives us the required equation of the plane, which is 2x + 8y + 16z = -192.

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ANSWER :

Two ordered pairs (Solution) : (-4, -4) and (-3, -3)

Two ordered pairs (Not a solution) : (1, 1) and (2, 3)

EXPLANATION :

From the problem, we have :

Note that the boundary line is dashed or broken if the inequality symbol is < or >.

Otherwise, the boundary line is a solid line.

Graph the first inequality :

Change the symbol to "="

Solve for the x and y intercepts.

Test the inequality at the origin (0, 0)

The region will pass through the origin if it satisfy the inequality.

Therefore, the region will NOT pass through the origin.

Plot the points (0, 3) and (-1, 0).

Connect it with a solid line.

The region will NOT pass the origin.

Graph the second inequality :

Change the symbol to "="

Since y must be less than -2, the region is from y = -2 to the negative infinity.

Plot the point (0, -2) and draw a horizontal dashed line since the symbol is <.

That will be :

The solution to the inequality is the overlapping region.

Any point in the overlapping region is a solution.

Two ordered pairs solution are (-3, -3) and (-4, -4)

Two ordered pairs that are NOT a solution : (1, 1) and (2, 3)

Answer:

High

Step-by-step explanation:

The probability is high because those 66 students could have 10 really fast readers that change that wpm. Or they could have 15 slow readers that could change the wpm and make it go down.

There are many possibilities.

Answer:

Step-by-step explanation:

Simply divide the numbers, the result is the quotient

The quotient of the given expression when 1,224 divided by 9 is 136.

The quotient is defined as the number obtained on dividing a number with some number.

The number left after the division is called as the remainder.

Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.

The quotient of the following expression can be calculated as:

When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.

So, it can be said that 136 is the quotient when 1,224 divided by 9.

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Answer:

sup!

the answer is

a point on (0,-1) and (1,3)

Step-by-step explanation:

hope this helps

Answer:

4a²-9

Step-by-step explanation:

(2a+3)(2a-3) = (2a)²-3² {Difference of two squares}

= 4a²-9

The diagram given is a sector, and from the diagram

Radius(r) = 9 in

Answer:

AA' = BB'

Step-by-step explanation:

Because it's being translated in the same plane, the orientation is preserved and the lines will be parallel. That means the length of AA' and BB' are the same.

The following statements are true:

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of \(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

What is matrix?

In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns. Matrices are used in many areas of mathematics, including linear algebra, calculus, and statistics.

The first statement is false. A least-squares solution of Ax = b is a vector x that minimizes the Euclidean norm ||b - Ax||, not necessarily making it smaller than any other norm.

The second statement is true. If b is in the column space of A, then Ax = b has at least one solution, and any solution is also a least-squares solution.

The third statement is true. Any solution of \(A^TAX = A^Tb\) can be written as \(x = (A^TA)^{-1}A^Tb\), and it is a least-squares solution of Ax = b because \((A^TA)^{-1}A^T\) is the left-inverse of A (if A has full column rank), and \((A^TA)^{-1}A^Tb\) is the projection of b onto the column space of A.

The fourth statement is false. A solution of \(A^TAX = A^Tb\) is not necessarily a solution of Ax = b, so it cannot be a least-squares solution of Ax = b.

The fifth statement is false. A least-squares solution of Ax = b is a vector x that satisfies the normal equation \(A^TA x = A^Tb\), not necessarily Ax = b. Moreover, x is the orthogonal projection of b onto Col A only if A has full column rank, in which case the projection matrix is \(A(A^TA)^{-1}A^T.\)

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Complete question : let a be an m x n matrix and b be a vector in rm. which of the following is/are true? (select all that apply)

A least-squares solution of Ax = b is a vector such that ||b - Ax|| ≤ b - Ax|| for all x in Rº.

The general least-squares problem is to find an x that makes Ax as close as possible to b.

If b is in the column space of A, then every solution of Ax = b is a least-squares solution.

Any solution of\(A^TAX = A^Tb\) is a least-squares solution of Ax = b.

A least-squares solution of Ax = b is a vector x that satisfies Ax = b, where is the orthogonal projection of b onto Col A.

Answer:

65

Step-by-step explanation:

Since we know that a rectangle is 360 degrees

90+88+117 = 295

360-295=

65

Answer:

Depth after 9 minutes is -253 feet

Step-by-step explanation:

Since we can find the submarine's depth as a function of time, m (in minutes), lets use the function to calculate the answer.

We are given the equation for depth: Depth(m) = -370+13m

Depth(x) means that the equation will tell us the submarine's depth after m minutes. The equation is missing the units, but we know from the statement that the initial depth is -370 feet and the rate of ascention is +13 feet/min. So we can enhance the equation by rewriting it with the units.

Depth(m) = -370ft+13(feet/minute)*m [m is minutes]

The sub's depth after 9 minutes is:

Depth(9) = -370ft+13(feet/minute)*(9 minutes)

Depth(9) = -370ft + 13*(9)

Depth(9) = -370+117

Depth(9) = -253 feet

Answer:

25% of 64

Step-by-step explanation:

because the answer is 16 when you do 25% of 64 and then divide 64/4 you get the same answer for both

Answer:

Answer: 25% of 64

Step-by-step explanation:

Answer:

Step-by-step explanation:

since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore  ∠2 ≈ ∠3

:)

Answer:

$34.10

Step-by-step explanation:

55 Divided by 5 is 11, multiply 3.10 by 11, and you get your answer.

Answer:

18:2

36:4

81:9

Step-by-step explanation:

(WHAT ARE YOU DOING?) You are adding 1 cup per 9 tablespoons of oil

(EVIDENCE) You looked at the multiples of 9 and added 1 cup of kernels per multiple until you got to 9 cups.

(REASONING) It it the most simple way to get the answer.

Answer:

a+b=b+a

Step-by-step explanation:

2+3=3+2

=5

:)))))

Answer:

5/9 x 2/9 = 10/81 is a rational number.

Step-by-step explanation:

5/9 x 2/9 = 10/81 is a rational number.

Commutative Property : Multiplication of rational numbers is commutative. Therefore, Commutative property is true for multiplication.

commutative property under rational numbers with an example

Commutative property of addition of rational numbers: Two rational numbers can be added in any order. Associative property of addition of rational numbers: While adding three rational numbers, they can be grouped in any order.

-20 = x/8 -8) oh ya and please subscribe to iwpp

The minimum price necessary for the firm to earn a profit is $30.

Hence,.option C is correct

The profit of a firm is calculated as the difference between total revenue and total cost. To find the minimum price necessary for a firm to earn a profit, we need to determine the revenue and cost functions first. Then we can find the break-even point and determine the minimum price for the firm to earn a profit.

Total cost function: TC = 50 + 2q²

where

q = quantity produced

We know that the profit equation is:

Total revenue (TR) = price (p) x quantity (q)

Profit (π) = TR - TC

Now we need to determine the revenue function:TR = p × q

We can substitute this into the profit equation to obtain:π = TR - TCπ = p × q - (50 + 2q²)

To find the break-even point, we can set the profit to zero:

0 = p × q - (50 + 2q²)

p × q = 50 + 2q²

We can rearrange this equation to solve for p:p = (50 + 2q²) / q

Let's substitute q = 5:p = (50 + 2(5)²) / 5 = $30

Therefore, the minimum price necessary for the firm to earn a profit is $30. So, the correct option is O c. p-$30.

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Answer:

(2,1.5)

Step-by-step explanation:

I think, by looking at the information given on this question, your just looking to see where the lines intersect (which is at 2, 1.5)

Therefore, After 20 minutes, there are approximately 11.9 kg (rounded to one decimal place) of salt in the tank.

To solve this problem, we need to consider the rate of change of the amount of salt in the tank over time.

(a) Let's denote the amount of salt in the tank after t minutes as y (in kg). We can set up a differential equation to represent the rate of change of salt:

dy/dt = (rate of salt in) - (rate of salt out)

The rate of salt in is given by the concentration of salt in the incoming water (0 kg/L) multiplied by the rate at which water enters the tank (90 L/min). Therefore, the rate of salt in is 0 kg/L * 90 L/min = 0 kg/min.

The rate of salt out is given by the concentration of salt in the tank (y kg/9000 L) multiplied by the rate at which water leaves the tank (90 L/min). Therefore, the rate of salt out is (y/9000) kg/min.

Setting up the differential equation:

dy/dt = 0 - (y/9000)

dy/dt + (1/9000)y = 0

This is a first-order linear homogeneous differential equation. We can solve it by separation of variables:

dy/y = -(1/9000)dt

Integrating both sides:

ln|y| = -(1/9000)t + C

Solving for y:

y = Ce^(-t/9000)

To find the particular solution, we need an initial condition. We know that at t = 0, y = 12 kg (the initial amount of salt in the tank). Substituting these values into the equation:

12 = Ce^(0/9000)

12 = Ce^0

12 = C

Therefore, the particular solution is:

y = 12e^(-t/9000)

(b) To find the amount of salt in the tank after 20 minutes, we substitute t = 20 into the particular solution:

y = 12e^(-20/9000)

y ≈ 11.8767 kg (rounded to one decimal place)

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The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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Answer:

64

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

I've never explained multiplication but here we go:

Multiplication is literally repeated addition

So 16*4 would just be 16+16+16+16 which we can do the addition out and get 64

We can also do 4 sixteen times and do 4+4+4+4+4+4+4+4+4+4+4+4+4+4+4+4

If we add that up, we'll get 64

We can also do distributive property, so we do 4^15 which is 60 and then we do 4*1 which equals 4, then we do 60+4 to get 64. The equation will look like this:

4(15+1)

You can always just use a calculator but you don't learn from doing that

You can also do it how they teach it to you in school which looks like this

2

16                                                                                                                          x4                                                                                                                             ----                                                                                                                        64

Let me know if you have any questions

Answer:

4. 10m+50=200

Step-by-step explanation:

10m meaning hes getting 10 each month that's why the m is there and on too he is getting another 50 which is why you would need to add 50 and obviously a total of 200 is at the end

Answer:

4) 10m+50 = 200

Step-by-step explanation:

As here "m" denotes "month" , Maxs save $10 a month so it is - 10m .

$50 for grandma and he need to save $200.

So we get the equation :

10m+50=200

Answer:

0,1-0,9

-0,8

Step-by-step explanation:

Subtract the second point from the first point.

Since Jenny's total sales for the week were only £2,322.00, her bonus is only 0.02 x £2,322.00 = £46.45.

Jenny will receive a bonus of £46.45 this week. She is ranked third in terms of sales, so she does not qualify for the top two positions that receive the bonus.

The bonus is calculated as 0.02 of the total sales made that week, which is £38,121.70 (£902.00 + £1,275.25 + £1,385.20 + £1,637.80 + £1,640.50 + £1,628.95).

The bonus is then divided in a ratio of 4:1 between the salesperson in first and second place, which means the first-place salesperson will receive £726.87 (0.8 x £38,121.70 x 0.04) and the second-place salesperson will receive £181.72 (0.2 x £38,121.70 x 0.04).

Jenny's bonus is calculated by subtracting the bonuses received by the first and second-place salespeople from the total bonus pool and dividing the remaining amount by the number of salespeople who did not receive a bonus.

Since there are four salespeople who did not receive a bonus (including Jenny), the remaining bonus pool is £38,121.70 - £726.87 - £181.72 = £37,213.11.

Dividing this by four gives £9,303.28, which is the bonus amount that each of the remaining salespeople will receive.

However, since Jenny's total sales for the week were only £2,322.00, her bonus is only 0.02 x £2,322.00 = £46.45.

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