Write an equation of the line that passes through the given point and is parallel to the given line.
(4, 3); y = –x + 5

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

18. ∆PQR =~ ∆RPA ( by SAS )

19. ∆DQR =~ ∆PQR ( by AAS )

20. ∆ARO =~ ∆PQO ( by AAS )

The solutions of the system are y = -8 and x = 9.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Given:

A system of equations,

5x + 6y = -3   {Equation 1}

8x + 8y = 8     {Equation 2}.

Multiply 8 into equation 1 and multiply by 5 into equation 2,

and subtract the equation,

we get,

40x + 48y - 40x - 40y = -24 - 40

8y = -64

y = -8 and x = 9

Therefore, the solutions are y = -8 and x = 9.

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\(8^2 +B^2 = 14^2\\\\\implies B^2 = 14^2 -8^2 \\\\\implies B^2 = 132\\\\\implies B=\pm\sqrt{132} = \pm 2\sqrt{33}\)

your answer shall be 1.2

The given statement is an example of "Principle of specificity or specific adaption to imposed demands (SAID Principle) ".

What is Principle of specificity ?

According to the specificity of training principle, each physical activity has a very unique physiological response. For instance, someone who jogs can anticipate that both their running performance and their level of aerobic fitness will be favorable.

if someone repeatedly lifts heavy weights, that person will produce higher levels of maximal strength.

This an example of  "Principle of specificity or specific adaption to imposed demands (SAID Principle) "

Tenet according to which the body will adjust to the unique demands imposed upon it.

Higher degrees of endurance can be attained by regularly lifting lesser weights for a large number of repetitions.

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Answer: 7:1, 7/1, 7 to 1 (according to school learning)

Step-by-step explanation:

first 7:1 second 7/1 third 7 to 1

Answer:

it would be A

Step-by-step explanation:

Answer:

what do you want to do with this

Step-by-step explanation:

Answer:

25 quarters, 75 dimes, and 5 nickels

Step-by-step explanation:

Let's start by defining some variables to represent the number of each type of coin Steve has:

Let's call the number of quarters Q.

The number of dimes will be 3 times the number of quarters, so we can call the number of dimes D = 3Q.

Finally, the number of nickels will be the remaining coins, which we can represent as N = 105 - Q - D.

Now we can set up an equation based on the total value of the coins:

0.25Q + 0.1D + 0.05N = 11.55

We can substitute the expressions we defined earlier for D and N:

0.25Q + 0.1(3Q) + 0.05(105 - Q - 3Q) = 11.55

Simplifying and solving for Q:

0.25Q + 0.3Q + 2.625 - 0.2Q = 11.55

0.35Q = 8.925

Q = 25.5

We can't have half a coin, so we know that Steve has 25 quarters. Using the expressions we defined earlier, we can find the number of dimes and nickels:

D = 3Q = 3(25) = 75

N = 105 - Q - D = 105 - 25 - 75 = 5

Therefore, Steve has 25 quarters, 75 dimes, and 5 nickels.

The random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.

We have a sequence of independent uniform [0,1] random variables, denoted as x1, x2, x3, and so on. We also have a fixed constant c, which belongs to the interval [0,1].
Now, we want to define a random variable called n using these terms. The random variable n represents the smallest integer value k, such that the sum of the first k random variables in the sequence (x1 + x2 + ... + xk) is greater than or equal to the constant c.

To illustrate this, let's break down the steps involved in finding the value of n:
1. Start with k = 1.
2. Calculate the sum of the first k random variables: (x1 + x2 + ... + xk).
3. If the sum obtained in step 2 is greater than or equal to c, then stop and assign the value of n as k.
4. If the sum obtained in step 2 is less than c, increment k by 1 and repeat steps 2 and 3.
5. Continue repeating steps 2 to 4 until we find the smallest k such that the sum is greater than or equal to c. Assign this value of k as n.

So, in summary, the random variable n is defined as the smallest integer value of k for which the sum of the first k random variables in the sequence is greater than or equal to the constant c.
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Answer:

B is the correct answer

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

i think

Answer: 44

EC is basically EF times 2

Answer: EC=44

Step-by-step explanation:

Answer:

The answer is C or the 3rd one.

Step-by-step explanation:

Answer: -1

Step-by-step explanation:

If k is equal to negative one then we can input it into it for the exponent and solve.

\(10^{-3} * 10^{1} * 10^{-1}\)   If  multiplying exponents and they have the same base then you will just add the exponents and let the exponents stay the same.

The exponents are  -3,1, and -1 add them.

-3 + 1 - 1 = -3

The base is 10 so we will raise 10 to the negative 3rd power.

\(10^{-3}\)

Answer:

Step-by-step explanation:i think its -3

To find the volume of a solid, we need to know its shape and dimensions. If the solid is composed of prisms, pyramids, and cones that are right, we can use the appropriate formulas to calculate their volumes. Once we have the volumes of each individual shape, we can add them together to find the total volume of the solid.

It's important to note that when rounding the answer to two decimal places, we should look at the third decimal place and round up if it is 5 or higher. For example, if the calculated volume is 12.345, rounding to two decimal places would give us 12.35.

In summary, to find the volume of a solid composed of right prisms, pyramids, and cones, we use the appropriate formulas for each shape and add the volumes together. We then round the final answer to two decimal places, rounding up if necessary.  

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Complete Question

A recipe calls for ! 3/4 ! Cup of walnuts and ! 2/3 ! Cup of pecans. Which type of nut is used more in the recipe? How much more?

Answer:

a) Which type of nut is used more in the recipe?

Cup of walnuts is used more

b) How much more?

1/12 more

Step-by-step explanation:

a) Which type of nut is used more in the recipe?

A recipe calls for

! 3/4 ! Cup of walnuts

Converting to decimal = 0.75 cup of walnuts

2/3 ! Cup of pecans.

Converting to decimal = 0.67 cup of pecans

The size of the cup of walnuts is greater than that of the pecans hence, the cup of walnuts is used more.

b) How much more?

This is calculated as:

3/4 cups - 2/3 cups

= 1/12 cups more

Answer:

m  = −3

Step-by-step explanation:

Use the slope formula to find the slope  m .

33 ducks and 12 turtles are the kind of animals in the pond

Let's solve the problem using a system of equations. Let "d" represent the number of ducks and "t" represent the number of turtles.

We know that the total number of animals is 45, so we can write the equation: d + t = 45.

We also know that the total number of legs is 114. Since ducks have 2 legs and turtles have 4 legs, we can write the equation: 2d + 4t = 114.

Now we have a system of equations:

d + t = 45

2d + 4t = 114

To solve this system, we can use substitution or elimination method. Let's use the substitution method.

From the first equation, we can express d in terms of t as d = 45 - t.

Substituting this value of d in the second equation, we get:

2(45 - t) + 4t = 114

90 - 2t + 4t = 114

2t = 24

t = 12

Substituting the value of t back into the first equation, we find:

d + 12 = 45

d = 33

Therefore, there are 33 ducks and 12 turtles in the pond.

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Vertex: V(-3/4, 41/8), Axis of symmetry: x = -3/4, Maximum value: 41/8

Range: (-∞, 41/8]

The vertex, axis of symmetry, maximum/minimum value, and range of the parabola y = -2x² - 3x + 4 are as follows:

The vertex is V(-3/4, 41/8).

The axis of symmetry is x = -3/4.

The parabola has a maximum value of 41/8.

The range of the parabola is (-∞, 41/8].

Let's dive deeper into the explanation:

To find the vertex of a parabola, we can use the formula h = -b/(2a) to determine the x-coordinate of the vertex. In the equation y = -2x² - 3x + 4, the coefficient of x² is -2 and the coefficient of x is -3. Applying the formula, we get h = -(-3)/(2*(-2)) = -3/4. To find the y-coordinate of the vertex, we substitute the x-coordinate into the equation: y = -2(-3/4)² - 3(-3/4) + 4 = 41/8. Hence, the vertex is located at V(-3/4, 41/8).

The axis of symmetry of a parabola is a vertical line that passes through its vertex. Since the x-coordinate of the vertex is -3/4, the equation of the axis of symmetry is x = -3/4.

The coefficient of the x² term is -2, which is negative. Therefore, the parabola opens downward and has a maximum value. The maximum value corresponds to the y-coordinate of the vertex, which is 41/8. This means that the parabola reaches its highest point at y = 41/8.

The range of the parabola is the set of all possible y-values. Since the parabola opens downward, the range is all real numbers less than or equal to the maximum value, which in this case is (-∞, 41/8].

In summary:

- Vertex: V(-3/4, 41/8)

- Axis of symmetry: x = -3/4

- Maximum value: 41/8

- Range: (-∞, 41/8]

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Answer:

The probability is 2/9

Step-by-step explanation:

Firstly, the total number of hats is 18

Now, from this 18, we have that the number of Fedora hats is 4

So to find the probability, we have to divide the number of Fedora by the total number of hats

Mathematically, we have this as 4/18 = 2/9

Answer:

(-1, -3/2)

Step-by-step explanation:

The number of individuals who took the quiz is D) 21.

To determine the total number of individuals who took the quiz (N), we need to sum up the frequencies (f) in the given frequency distribution. The frequency (f) represents the number of individuals who obtained each score.

Let's add up the frequencies:

6 + 5 + 5 + 3 + 2 = 21

The total frequency is 21, which means that 21 individuals took the quiz. Each score represents a certain number of individuals who obtained that score, and by adding up all the frequencies, we get the total number of individuals.

Therefore, the correct answer is D. 21.

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Hey there!

\(Answer:\boxed{\text{4 rows and 3 columns}}\)

\(Explanation:\)

A matrix has 4 rows and 3 columns. 4 rows means it has 4 system of equations and 3 columns means 3 variables in the system of equations. 3 columns means like x, y, z.

Hope this helps!

Answer:

3

Step-by-step explanation: e3

Height = 7cm

Surface area = 462 cm2

The surface area of a cylinder is equal to the area of each circle ( pi x radius^2) plus the area of the side (2 pi x radius x height)

Surface area of a cylinder = pi r2 + pi r2 + 2pi r h

Since it is closed at one end, we only add one circle area:

S = pi r2 + 2pi r h

Replacing with the values given:

462 = pi r^2 + 2pi (r) 7

462 = pi r^2+ 43.98 r

462 -44r = pi r^2

(462-44r)/pi = r^2

147-14r = r^2

0= r^2 +14r -147

(r+21 ) (r-7)=0

r=-21 or r=7

Since it can be negative:

radius = 7

it is important to note that the sample size of 1000 subjects is large enough for statistical inference, but the significance level must be taken into account when interpreting the results.

No. Since the tests were performed at the 1% significance level, as many as 10 subjects may have done significantly better than random guessing.

When conducting hypothesis testing, the significance level (in this case, 0.01 or 1%) is the probability of rejecting the null hypothesis when it is actually true. This means that there is a 1% chance of observing a significant result purely by chance, even if the null hypothesis (in this case, that the subjects do not have ESP) is true.

In this scenario, nine subjects performed significantly better than random guessing, which may suggest that they have ESP. However, due to the possibility of observing significant results by chance, it is not proper to conclude that these nine people have ESP. There is still a chance that these results are purely coincidental.

Additionally, it is important to note that the sample size of 1000 subjects is large enough for statistical inference, but the significance level must be taken into account when interpreting the results.

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