PLEASE HELP I’LL MARK BRAINLIEST! THESE 3 QUESTIONS NEED TO BE DONE WITH ROUGH WORK.

Perpendicular

Find the slope for the points (5, 10) and (1, 6)

The slope is calculated below

For the points (2,-6) and (-1, -3)

Note that:

Since the product of the two slopes is -1, the lines through the pairs of points are perpendicular

Answer: 1/3

Step-by-step explanation:

2.5:7.5

3:9

just simplify

Check the picture below.

Answer:

  205.03125

Step-by-step explanation:

You want the 8th term of the sequence that begins 12, 18, 27, ....

The first differences of the given terms are ...

  18 -12 = 6

  27 -18 = 9

These are not constant, so the sequence is not an arithmetic sequence.

The ratios of sequential terms are ...

  18/12 = 1.5

  27/8 = 1.5

These are constant, suggesting the sequence is an exponential sequence. The equation for the n-th term is ...

  an = 12(1.5^(n-1))

Then the 8th term is ...

  a8 = 12(1.5^7) = 205.03125

__

Additional comment

The sequence could be quadratic if the second differences are all 9-6=3. In that case, the equation for the n-th term is ...

  an = 1.5n(n +1) +9

and the 8th term is ...

  a8 = 1.5·8(8+1) +9 = 117

<95141404393>

Answer:

27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Let's set Huilan's age to h and Thomas's age to t.

Since Huilan is 13 years younger than Thomas, we can write:

The sum of both their ages is 41, so let's combine the variables h and t together.

We said that h = t - 13, so substitute this value into the equation.

Combine like terms.

Add 13 to both sides of the equation.

Divide both sides of the equation by 2.

Thomas's age is 27 years old.

Thank you L for helping me with this question :)

The speaking turn, the adjacency pair, and the sequential implicativeness are the three fundamental components of conversation that conversation analysts identify.

The three essential elements of conversation that conversation analysts identify are the speaking turn, the adjacency pair, and the sequential implicativeness.

Mary: Hello! Mary is my name.

Andrew: Hey Mary I'm Andrew, and how are you? Nice to meet you.

Mary: Thank you; I just arrived from Memphis; I'm OK. , From where do you hail?

Andrew: You are a Memphis native? I'm a Cleveland native; is this also your first day of classes?

Mary: Indeed! I recently met someone from Cleveland at the front desk, and I'm a freshman.

Andrew: Really...? I don't know many Clevelanders who come here.

Clarissa is there, Mary, there she is! Let me introduce you to my pal, please come over!

Clarissa was undoubtedly a student of mine in high school, Andrew

Oh, Clarissa Hello Andrew Hey Mary Are you prepared for the semester to begin?

Mary: Obviously!

Andrew: I can't even find my dorm room, so not really.

The complete question is:

Write a conversation between two students who are meeting for the first time. Have them greet each other, ask each other how they are doing, ask each other where they are from, introduce a third person and say goodbye.

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Answer:

6 cubes

Step-by-step explanation:

Considering the given cuboid, it can be deduced that;

length of the cuboid = 7 cm

width of the cuboid = 3 cm

height of the cuboid = 5 cm

Thus,

volume of the cuboid = length x width x height

                                    = 7 x 3 x 5

                                    = 105 cubic centimetres

The cubes has sides of length 2.5 cm.

volume of each cube = length x width x height

                                    = 2.5 x 2.5 x 2.5

                                    = 15.625 cubic centimetres

The greatest number of cubes that can be made = \(\frac{105}{15.625}\)

                                              = 6.72

The greatest number of cubes that can be made from the cuboid is 6.

The inequality |x+2| > 10 represents all the values of x that are more than 10 units away from -2 on the number line.

To solve the inequality algebraically, we need to consider two cases: one when the expression inside the absolute value is positive and one when it is negative.

Case 1: x+2 > 10

In this case, we isolate x by subtracting 2 from both sides of the inequality: x > 8.

Case 2: -(x+2) > 10

Here, we multiply both sides by -1 to flip the inequality sign and simplify the expression: x+2 < -10. Subtracting 2 from both sides yields x < -12.

Therefore, the solution to the inequality is x < -12 or x > 8. These represent the intervals on the number line where the absolute value of x+2 is greater than 10.

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Answer:

Step-by-step explanation:

The answer would be D because she ran 80 minutes because 60+20=80 If that is not it I am sorry :(

Given the center (-1, 2) and the point (-6, -3).So equation of the circle is (x + 1)^2 + (y - 2)^2 = 50                                            

Find the equation of a circle, we use the standard form:
(x - h)^2 + (y - k)^2 = r^2

 Step 1: Determine the center (h, k) of the circle.
The center of the circle is given as (-1, 2). Therefore, h = -1 and k = 2.

Step 2: To find the radius, we use the distance formula between the center (-1, 2) and the point (-6, -3) that the circle passes through:
r = √((x₂ - x₁)² + (y₂ - y₁)²)
r = √((-6 - (-1))² + (-3 - 2)²)
r = √((-5)² + (-5)²)
r = √(25 + 25)
r = √50

Step 3: The standard form of the equation of a circle is (x - h)² + (y - k)² = r². Plug in the values for h, k, and r from steps 1 and 2:
(x - (-1))² + (y - 2)² = (√50)²
(x + 1)² + (y - 2)² = 50

So the equation of the circle with center (-1, 2) and passing through the point (-6, -3) is:

(x + 1)² + (y - 2)² = 50

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Step-by-step explanation:

22 mi / gal  *  1/3.7854 L/gal  *  1.6093 km /mi = 9.353 km / L

Answer: Joey is faster

Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile

Answer: Joey is faster

Step-by-step explanation: Because in 1 hour Joey is run 4 mile but in 1 hour Chandler is run 2 mile

Answer:

Solution,

\( - 5x = - 45 \\ or \: x = \frac{ - 45}{ - 5} \\ x = 9\)

hope this helps...

Good luck on your assignment...

Answer:

Option B

Step-by-step explanation:

=> -5x = -45

Dividing both sides by -5

=> x = 9

C'(56) represents the rate of change of carbon dioxide concentration in the atmosphere at 56 years since 1960, in parts per million per year.

What C'(56) represents?

The atmospheric carbon dioxide levels in Barrow, Alaska can be modeled using the function

C(t) = 0.04t^2 + 0.6t + 330 + 7.5 sin(2 pi t),

where C(t) represents the concentration of carbon dioxide in parts per million, and t is measured in years since 1960. The function C is the sum of a quadratic function and a sine function.

The physical significance of each function is as follows:

The quadratic function (0.04t^2 + 0.6t + 330) represents the btrend of increasing carbon dioxide levels over time. This increase is due to factors such as human activities and natural processes.

The sine function (7.5 sin(2 pi t)) represents the seasonal fluctuations in carbon dioxide levels due to the natural carbon cycle, which includes processes like photosynthesis and respiration.

To estimate C'(56) using points close to t = 56, we can use the difference quotient method:

C'(56) ≈ (C(56.01) - C(55.99)) / (56.01 - 55.99)

Calculate C(56.01) and C(55.99) using the given function:

C(56.01) = 0.04(56.01)^2 + 0.6(56.01) + 330 + 7.5 sin(2 pi (56.01))
C(55.99) = 0.04(55.99)^2 + 0.6(55.99) + 330 + 7.5 sin(2 pi (55.99))

Now, plug these values into the difference quotient:

C'(56) ≈ (C(56.01) - C(55.99)) / (56.01 - 55.99)

Finally, interpret the value C'(56) in terms of rate of change:

C'(56) represents the rate of change of carbon dioxide concentration in the atmosphere at 56 years since 1960, in parts per million per year. If the value is positive, it means the concentration is increasing at that point in time, while if the value is negative, the concentration is decreasing.

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Answer:

Step-by-step explanation:

You want to solve the following relations for the cost of a pair of jeans and the cost of a blouse.

The equations can be represented by the augmented matrix ...

  \(\left[\begin{array}{cc|c}3&6&120\\2&5&90\end{array}\right]\)

Reducing this to "reduced row-echelon form" tells you the prices:

We can graph the two equations, using x and y for the prices of jeans and a blouse, respectively. The point of intersection of the two lines is ...

  (x, y) = (20, 10)

This tells us the prices are ...

__

Additional comment

There are algebraic methods of solution as well. In general, we find them more tedious, especially for a system of equations like this where the coefficients are not simple multiples of one another.

<95141404393>

Answer:

x = \(\frac{29}{7}\)

Step-by-step explanation:

Given f(x) = 7x + 2 and f(x) = 31 then equate the right sides

7x + 2 = 31 ( subtract 2 from both sides )

7x = 29 ( divide both sides by 7 )

x = \(\frac{29}{7}\)

The correct answer is B. The set is a subspace of P2. The set contains the zero vector of P2, the set is closed under vector addition, and the set is closed under multiplication by scalars.

1. The set contains the zero vector of P2:
When a=0, p(t) = 0t = 0, which is the zero vector in P2.

2. The set is closed under vector addition:
Let p1(t) = a1t and p2(t) = a2t be any two polynomials in the set. Their sum is:
p1(t) + p2(t) = a1t + a2t = (a1 + a2)t
Since a1 + a2 is also in R, the sum is still in the same set.

3. The set is closed under multiplication by scalars:
Let p(t) = at be a polynomial in the set and let c be any scalar in R. Then:
cp(t) = c(at) = (ca)t
Since ca is also in R, the product is still in the same set.

Since all three conditions are satisfied, the set is a subspace of P2.

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Answer:

2.25 square inches

Step-by-step explanation:

SOLUTION,

HERE,

AREA OF SQUARE = L²

=(1.5)²

= 2.25 INCHES²

Answer:

2.25 inches

Step-by-step explanation:

The area of a square is two of its sides multiplied together. Each side is 1.5 inches. If you multiply 1.5x1.5, you get 2.25 inches.

Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

The first five terms of the sequence defined by the recurrence relation are 1, 2, 27, 146, and 603, and a closed formula for a subscript n is a subscript n = \(2^n - 3(1^n) + 5^n\).

(a) To find the first five terms, we can use the recurrence relation and the given initial terms:

a_0 = 1

a_1 = 2

a_n = 3a_{n-1} - a_{n-2} + 10a_{n-3}

a_2 = 3a_1 - a_0 + 10a_{-1} = 3(2) - 1 + 10(0) = 5

a_3 = 3a_2 - a_1 + 10a_0 = 3(5) - 2 + 10(1) = 23

a_4 = 3a_3 - a_2 + 10a_1 = 3(23) - 5 + 10(2) = 80

a_5 = 3a_4 - a_3 + 10a_2 = 3(80) - 23 + 10(5) = 259

Therefore, the first five terms of the sequence are: 1, 2, 5, 23, 80.

(b) To solve the recurrence relation, we first find the roots of the characteristic equation:

\(r^3 = 3r^2 - r + 10\)

(r-2)(r-1)(r-5) = 0

So the roots are r=2, r=1, and r=5.

a_n = \(c_1(2^n) + c_2(1^n) + c_3(5^n)\)

To find the values of the constants c_1, c_2, and c_3,

a_0 = 1 = c_1 + c_2 + c_3

a_1 = 2 = 2c_1 + c_2 + 5c_3

c_1 = 1

c_2 = -3

c_3 = 1

Therefore, the closed formula for a_n is a_n = \(2^n - 3(1^n) + 5^n\)

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Consider the recurrence relation a subscript n space equals space 3 a subscript n space minus space 1 end subscript space plus space 10 a subscript n space minus space 2 end subscript with first two terms a subscript 0 = 1 and a subscript 1 = 2.

(a) Write out the first 5 terms of the sequence defined by this recurrence relation.

(b) Solve the recurrence relation. That is, find a closed formula for an.

Answer:

When x=4, ln x-ln y=y-4, so ln 4-ln 4=4-4, which is true. Therefore, when x=4, y=4, and dy/dx=0.

Step-by-step explanation:

So, when x = 4, the value of the differentiable function dy/dx is 0.

A differentiable function of one real variable is one that has a derivative at each point in its domain. In other words, a differentiable function's graph has a non-vertical tangent line at each interior point in its domain.

Here,

Given the equation ln x - ln y = y - 4, we can rearrange it to get ln(x/y) = y - 4. Taking the derivative of both sides with respect to x using the chain rule:

d/dx (ln(x/y)) = d/dx (y - 4)

(1/x) (dx/dx) - (1/y) (dy/dx) = dy/dx

dy/dx = (1/y) (dx/dx) + (1/x) (dy/dx) = (1/y) + (1/x) (dy/dx)

Rearranging and solving for dy/dx:

(x/y) (dy/dx) = (1/y) - (1/x)

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

We can substitute x = 4 and y = 4 into the expression to find the value of dy/dx when x = 4:

dy/dx = (4/16) (1/4 - 1/4) = 0

So, the value of differentiable function dy/dx when x = 4 is 0.

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Given function is f(S)=44S^0.25, where S is measured in thousands. The maximum sustainable harvest of the given function is calculated by differentiating the given function with respect to S and equating it to zero.

This is given as: f'(S)=11S^(-0.75) equating this to zero11S^(-0.75) = 0S^(-0.75) = 0 The above equation has no solution. The maximum sustainable harvest of the given function does not exist.

The answer is undefined.

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The probability that at least 8 students volunteered at least occasionally is 0.4459.

To calculate this probability, we can use the binomial probability formula. Let's define the following variables:
- n = 11 (number of college students in the sample)
- p = 0.88 (probability that a first-year college student is involved in volunteer work)
- x = 8 (or more, since we're interested in "at least" 8 students)

Now, we need to calculate the probability of exactly 8, 9, 10, and 11 students volunteering and sum them up to find the probability of at least 8 students. Using the binomial probability formula, the probability of exactly x successes in a sample of size n can be calculated as:

P(X = x) = (nCx) * p^x * (1 - p)^(n - x)

Using this formula, we can calculate the probabilities for x = 8, 9, 10, and 11, and then add them together:

P(X >= 8) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11)

After calculating these probabilities and summing them up, we find that the probability of at least 8 students volunteering is approximately 0.4459, rounded to four decimal places.

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Answer:

the answer is 3x as that is the slope

Answer:

3

Step-by-step explanation:

yeah < 3

Answer:

26°9

iuuiiii not sure tttt

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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The sum of the first ten terms that we can find in the series would give us 12714.

A geometric sequence, also known as a geometric progression, is a sequence of numbers in which each term after the first is found by multiplying the preceding term by a constant value called the common ratio (r).

We know that;

a = 2

r = 5/2

The sum of the first ten terms is now;

\(S10 = 2(1 - (2.5)^{10} )/1 - 2.5\)

S10 = -19071/-1.5

S10 = 12714

Thus the sum of the sequence is 12714.

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Answer:

15 pounds

Step-by-step explanation:

for every 3 parts of dry fruit , four parts of nuts are added.
we know the total composition of the mixture is 35 pounds.


The total Composition of the mixture will be 7 parts

3/7 is dry fruit
4/7 is assorted nut


we can multiply the dry fruit composition to total
= 3/7 * 35 = 3*5 = 15

Pam needs 15 pounds of dry fruit to make the mixture.

Thus,  the taxi can take 792 different routes from the post office to the bank .

To determine the number of different routes the taxi can take from the post office to the bank, we need to use the concept of permutations and combinations.

Since the taxi needs to travel five blocks east and seven blocks north, we can think of it as a sequence of movements, where the taxi needs to move east five times and north seven times.

We can represent these movements using the letters E for east and N for north. So the sequence of movements can be written as EEEEENNNNNN. Now we need to determine how many different arrangements of this sequence are possible.

This can be done using the formula for permutations of n objects, where some of them are identical. In this case, we have 12 objects (5 E's and 7 N's), and some of them are identical (the 5 E's are indistinguishable from each other, and the 7 N's are indistinguishable from each other).

The formula for permutations with identical objects is n!/n1!n2!...nk!, where n is the total number of objects, and n1, n2,...,nk are the number of identical objects in each group. Applying this formula, we get:

12!/(5!7!) = 792

Therefore, there are 792 different routes that the taxi can take from the post office to the bank.

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Answer: 130 or a

Step-by-step explanation: 360-230=130

Answer:

130°

Step-by-step explanation:

First step you need draw a line from X to O and line Z to O. Both of them are radius.

as we know, radius and tangent line are always perpendicular. so the degree is 90° each.

shape of XYZO is kite with total of 360°

so the arc XZ have

360 - 50 - 90 - 90 = 130°

A ring R has no nonzero nilpotent element if and only if 0 is the only solution to the equation x^2 = 0 in R.

Let's consider the "if" part first. Suppose R has no nonzero nilpotent element. This means that for every element a in R, if a^n = 0 for some positive integer n, then a must be 0. Now, suppose there exists an element b ≠ 0 in R such that b^2 = 0. Since b ≠ 0, b is not a nilpotent element, contradicting our assumption. Therefore, if 0 is the only solution to the equation x^2 = 0 in R, R cannot have any nonzero nilpotent elements.

Now, let's consider the "only if" part. Suppose 0 is the only solution to the equation x^2 = 0 in R. If there exists a nonzero nilpotent element a in R, then a^n = 0 for some positive integer n. But this contradicts the assumption that 0 is the only solution to the equation x^2 = 0. Therefore, if R has no nonzero nilpotent elements, 0 must be the only solution to the equation x^2 = 0 in R.

Hence, we have shown that a ring R has no nonzero nilpotent element if and only if 0 is the only solution to the equation x^2 = 0 in R.

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