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To find the distance between x and y, we need to know their coordinates. Let's assume x is located at point (x1, y1) and y is located at point (x2, y2). The distance between them can be calculated using the distance formula:

Distance = √[(x2 - x1)^2 + (y2 - y1)^2]

The distance formula is derived from the Pythagorean theorem and can be used to find the distance between any two points in a plane. The formula involves taking the square root of the sum of the squared differences in x and y coordinates between the two points.

In order to find the distance between x and y, we need to know their coordinates and then apply the distance formula. It is a useful formula to know when working with geometric figures and can be applied in various real-life situations such as calculating the distance between two cities on a map.

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The distance between x and y can be calculated using the distance formula, which is √((x2 - x1)^2 + (y2 - y1)^2).

In order to find the distance between x and y, we need to know the coordinates or positions of x and y. Without this information, we cannot calculate the distance between them. Therefore, we cannot provide a specific answer to this question.

To use this formula, you need the coordinates of the points x and y (x1, y1) and (x2, y2). Plug the coordinates into the formula, then calculate the differences between the x and y values, square them, add them together, and finally, find the square root of the sum. This will give you the distance between x and y.

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The average rate of change of y with respect to x over the interval [1, 5] for function \(y=4x^{2}\) is 24.

To find the average rate, follow these steps:

Therefore, the average rate of change of y with respect to x over the interval [1, 5] for the function \(y=4x^{2}\)  is 24.

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Answer:

-1

Step-by-step explanation:

Given:

\(i^{50}\)

Rewrite 50 as the product of 2 and 25:

\(\implies i^{(2 \cdot 25)}\)

\(\textsf{Apply the exponent rule} \quad a^{bc}=(a^b)^c:\)

\(\implies \left(i^2\right)^{25}\)

Apply the imaginary number rule  i² = -1 :

\(\implies \left(-1\right)^{25}\)

\(\textsf{Apply the exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:\)

\(\implies -1^{25}\)

As 1²⁵ = 1 then:

\(\implies -1\)

Answer:

(i)⁵⁰ = -1

Step-by-step explanation:

The problem is,

→ (i)⁵⁰

Formula we use,

→ i² = -1

Let's solve the problem,

→ (i)⁵⁰

→ (i²)²⁵

→ (-1)²⁵

→ -1

Hence, the answer is -1.

Answer:

o

0 F x>o v 0 cover the interval (-4,-3

The statement which is true about the graphed function is that F(x) > 0 over the interval (-∞, -4).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Given is a graph of a function.

The options contains the open interval (-∞, -3) and (-∞, -4).

It is clear that along this interval, the graph is situated above the X axis.

This means that the values of y is all greater than 0.

At x = -4, F(x) = 0

For all x < -4, F(x) > 0

So the correct statement is F(x) > 0 over the interval (-∞, -4).

Hence F(x) > 0 over the interval (-∞, -4).

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Answer:

? = 9

Step-by-step explanation:

you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!

hope this helps!

The value of v is 13 degrees.

Supplementary angles are a set of given measure of angles which add up to 180 degrees. Thus producing a measure of the sum of angles on a straight line.

To determine the value of v in the given diagram, we have;

60 + (9v + 3) = 180       (sum of angles on a straight line)

So that;

9v + 3 = 1890 - 60

9v + 3 = 120

9v = 120 - 3

    = 117

v = 117/ 9

  = 13

v = 13^o

The value of v in the question is 13 degrees.

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Answer:

The volume of sphere  = 268.08

Step-by-step explanation:

Below is the calculation for the volume of melon (sphere).

Given the diameter of the sphere is = 8 inches

Now find the radius by dividing the diameter by 2 = 8/2 = 4 inches

Now use the below formula to find the volume.

The volume of sphere  = \(\frac{4}{3} \times \pi \times r^{3}\)

The volume of sphere  = 268.08

Answer:

The answer is

\(y = \frac{1}{4} x - 2\)

Step-by-step explanation:

Remmeber:

\(Slope = \frac{rise}{run} \)

The equation is number of muffins left = 34 - 17 And the solution is number of muffins left = 17

Let's define the variables:

M = Number of muffins Mary baked originally (34 muffins)

G = Number of muffins given to her neighbour (17 muffins)

The equation that represents the number of muffins Mary had left after giving some to her neighbour is:

Number of muffins left = Original number of muffins - Number of muffins given

M - G

Substitute the values:

Number of muffins left = 34 - 17

Solving this equation:

Number of muffins left = 17

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Random sampling do not complicates the analysis of cross-sectional data

Sampling is just an action of taking samples or subsets of a given data set for analysis. This means that when sampling is done, the next stage for the samples, are for them to be analyzed.

There different methods of sampling including random sampling. In this type, each member of the samples have equally probability of being chosen.

A cross-sectional data analysis is the analysis of samples or subsets at a fixed point in time. A systematic random sampling method is used in the analysis of cross-sectional data. And when this used, then each combinations of individuals samples in a data set has an equal chance of being selected.

Hence, the statements that says random sampling complicates the analysis of cross-sectional data is False.

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The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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Miles will be remaining after 57 minutes of driving 58.7 miles.

What is Linear Function?

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

Write the linear function as:

remaining distance = -0.85(drive time) + (intercept)

After 39 minutes of driving, Martina has 74 miles left to go.

That gives you the following:

74 = -0.85(39) + intercept

intercept = 107.15

Equation is rd = -0.85t + 107.15

remaining after 15 minutes of driving:

rd(57) = -0.85*57+107.15

rd(57) = 58.7 miles

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Answer:

y = - 7

Step-by-step explanation:

Assuming you require the equation

The equation of a line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (- 3, - 7) with y- coordinate - 7, thus

y = - 7 ← equation of line

Part 1

There are many ways to go about this, but one possibility is the following:

You are building a tree house. Your ladder is 10 feet long and the portion in the tree you're trying to get to is 8 feet off the ground. How far should the base of the ladder be from the tree so you can reach that portion?

==========================================================

Part 2

The drawing is shown below. The diagram is shown in 2D to keep things as simple as possible. Adding a third dimension greatly complicates everything.

We have a right triangle, so it has a 90 degree angle as shown by the square marker. The vertical leg is 8 feet. The horizontal leg is unknown. The hypotenuse (longest side) is 10 feet long to indicate the ladder.

==========================================================

Part 3

Use the pythagorean theorem to get...

a^2 + b^2 = c^2

x^2 + 8^2 = 10^2

x^2 + 64 = 100

x^2 = 100-64

x^2 = 36

x = sqrt(36)

x = 6

The base of the ladder should be 6 feet away from the tree, so that you can reach 8 feet off the ground.

Answer:

3x10^4

Step-by-step explanation:

here is the complete question:

9x10^2 is how many time as much as 3x10^-2?

9x10^2=9x100=900

3x10^-2=3x0.01=0.03

we then the divide, this will be:

=900/0.03

=30000

This can represented as:

30000=3x10^4

Answer:

g(x) = (-1/25)x + (203/25)

Step-by-step explanation:

The general equation for a line is slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).

To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".

g(x) = mx + b                                    <----- General equation

g(x) = (-1/25)x + b                             <----- Plug (-1/25) in "m"

8 = (-1/25)(3) + b                               <----- Plug in "x" and "y" from point

8 = (-3/25) + b                                  <----- Multiply (1/25) and 3

200/25 = (-3/25) + b                       <----- Covert 8 to a fraction

203/25 = b                                      <----- Add (3/25) to both sides

Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).

g(x) = (-1/25)x + (203/25)

Answer:

So the equation and solution will be:

Total time taken = 3 × number of shirts + 19.87 min (setup time)

                            = 3 × 143 + 19.87

                           \(=429+19.87\)

                             \(=448.87\)

Step-by-step explanation:

From the question statement, it is clear that

we have to determine how long does it take to screen-print a batch of 143 shirts.

so the equation and solution will be:

Total time taken = 3 × number of shirts + 19.87 min (setup time)

                           = 3 × 143 + 19.87

                           \(=429+19.87\)

                             \(=448.87\)  min

Answer:

152.7 cm/s

Step-by-step explanation:

The radius of DVD, r = 6 cm

The angular speed of DVD, \(\omega=243\ rev/min=25.45\ rad/s\)

We need to find the linear speed of the DVD.

The relation between linear speed and angular speed is given by :

\(v=r\omega\\\\v=0.06\times 25.45\\\\v=1.527\ m/s\)

or

v = 152.7 cm/s

So, the linear speed of the DVD is 152.7 cm/s.

The graph of the linear equation can be seen in the image below.

Here we have a linear equation:

y = -x

To graph it, we just need to find two points and the line, and then connect the points with a line.

Evaluating in x = 0, we get:

y = -0 = 0

Then we have the point (0, 0).

Evaluating in x = 1 we get:

y = -1

So we have the point (1, -1)

Now we just need to graph these two points and connect them with a line, the graph can be seen below.

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Using the inner product,

(a) {p, q} is -6

(b) ||p|| is √t{30}.

(c) ||q|| is √{2}.

(d) d(p, q) is √{38x^4 - 56x^3 + 22x^2 - 6x + 30}.

(a) To find {p, q}, we need to compute the inner product of the two polynomials:

{p, q} = a0b0 + a1b1 + a2b2

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

= -6

Therefore, {p, q} = -6.

(b) To find ||p||, we first need to find p , which is the norm of p. Using the formula p(x) = √{<p, p>} = √{a0^2 + a1^2 + a2^2}, we get:

p(x) = sqrt{<p, p>} = √{2^2 + (-1)^2 + 5^2}

= √{30}

Therefore, ||p|| = √{30}.

(c) Similarly, we can find ||q|| by finding q , which is the norm of q. Using the formula q(x) = √{<q, q>} = √{b0^2 + b1^2 + b2^2}, we get:

q(x) = √{<q, q>} = √{0^2 + 1^2 + (-1)^2}

= √{2}

Therefore, ||q|| = √{2}.

(d) Finally, to find the distance d(p, q) between p and q, we can use the formula:

d(p, q) = ||p - q|| = √{<p-q, p-q>}

First, we need to find p - q:

p - q = (2 - x + 5x^2) - (x - x^2)

= 2 - 2x + 6x^2

Now, we can compute d(p, q):

d(p, q) = ||p - q|| = √{<p-q, p-q>}

= √{(2-2x+6x^2)^2 + (-x+x^2)^2 + 5^2}

= √{38x^4 - 56x^3 + 22x^2 - 6x + 30}

Therefore, d(p, q) = √{38x^4 - 56x^3 + 22x^2 - 6x + 30}.

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Answer:

B. x = 31; m∠ROS = 62°

Step-by-step explanation:

Complementary angles add to 90

∠ROQ + ∠ROS = 90

28+2x = 90

Subtract 28 from each side

2x = 90-28

2x=62

Divide by 2

2x/2 = 62/2

x = 31

∠ROQ =28

∠ROS = 2x=2*31 = 62

Answer:

x<3

Step-by-step explanation:

-13x>-39

x<3

Based on the provided informations and given values , the expected payout of the game is calculated out to be  $177.

We can calculate the expected payout of the game by multiplying each payout amount by its corresponding probability and summing up the results:

Expected payout = ($200 x 0.126) + ($3,800 x 0.03) + ($190,000 x 0.0002)

Expected payout = $25.20 + $114 + $38

Expected payout = $177 (rounded to the nearest dollar)

Therefore, it can be concluded that the expected payout of the game is found to be $177.

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Answer:

Step-by-step explanation:

-20z+8+(-6)

-20z+2

Answer:

it is (-20z+8)+(-24)

Step-by-step explanation:

the operation that is done here is multiplication. so, now you can just multiply each term, -5z times 4, 2 times 4, -6 times 4.

-5z times 4: -20z

2 times 4: 8

-6 times 4: -24

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

Expansion of the function f(A,B,C,D):

f(A,B,C,D) = (A+B+D')(A'C)(C+D)

= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)

= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D

= BA'C + BC + BD'A'C + BD'C + BD'D

Minterms SOP for the function with K-map 5.16:

The truth table for the given function is:

A B C F

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

The K-map for this function is:

BC

A 00 01 11 10

0 |  0  1  0  1

1 |  1  0  0  1

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C) = A'B' + A'C + BC

Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:

The truth table for the given function is:

A B C D F

0 0 0 0 0

0 0 0 1 1

0 0 1 0 0

0 0 1 1 0

0 1 0 0 1

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 0

1 1 0 0 1

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

The K-map for this function is:

   CD

AB 00 01 11 10

00 |   0  1  0  0

01 |   1  0  0  1

11 |   1  1  1  1

10 |   0  0  1  0

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

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OK! SO, I'm not accurately sure, But I typed your problems into any online (Problem Solver) and got (3,2) for the first one and (4,4) for the second equation.

I'm sorry if this answer isn't right.

Step-by-step explanation:

Just type them into any online problem solver.

Answer:

45,000 + 2,500x = 54,000 + 1,500x

Step-by-step explanation:

no explanation

The 3 combinations of coins with the value of 30% of a dollar are 2 dimes + 1 Nickel + 5 Pennies, 1 dime + 2 Nickels + 10 Pennies, 3 Nickels + 1 dime + 5 Pennies.

How many types of coins are there?

There are 4 types of coins. They are Quarter, Nickel, dime, and Penny.

1 Quarter = 25 cent

1 dime = 10 cents

1 Nickel = 5 cents

1 penny = 1 cent

Now calculate 30 percentage of a dollar.

1 dollar = 100 cents.

30% of 100 cents = (30/100) × 100 = 30 cents.

2 dimes + 1 Nickel + 5 Pennies = 20 cents + 5 cents + 5 cents = 30 cents

1 dime + 2 Nickels + 10 Pennies = 10 cents + 10 cents + 10 cents = 30 cents

3 Nickels + 1 dime + 5 Pennies = 15 cents + 10 cents + 5 cents = 30 cents

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Answer:

5.36 is the answer thats what the calculator said.