determine the rate of change of the following coordinates

Answer:

turn it into a decimal first

Step-by-step explanation:

Yes the two triangles are necessarily congruent as they are right angled so both the angles are equal and having two sides equal by using SAS rule that is Side, Angle, Side rule by the property of congruency.

Two figures are considered to be "congruent" if they can be positioned precisely over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

If two triangles meet all 5 requirements for congruence, then they are congruent. They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SAS) (RHS).

Here the ΔCED and ΔPOR,

∠CED=∠POR

Side PR=CD

Side ED=PO

by using SAS rule,

ΔCED≅ΔPOR

Yes, the two triangles are inherently congruent because they have right angles, which means that both of their angles are equal, and because their sides are equal according to the SAS rule, which stands for Side, Angle, Side.

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Answer:

steps below

Step-by-step explanation:

1. 1 + 1/2*(n-1) : 3, 7/2, 4, 9/2

2. 1 + 1/3*(n-1): 7/3, 8/3, 9/3, 10/3

3. 3/2 + 1/2*(n-1): 4, 9/2, 5

4. 1, 4, 16, 19, 76...79, 316, 319, 1276  ...  

The radius of the pool is 9.01 m.

Given,

In the question:

A circular pool is surrounded by a brick walkway 3 m wide.

The area of the walk- way is 198 m^2.

To find the Radius of the pool.

Now, According to the question:

"Area of the circle bounded by the outside edge of the walkway" minus "area of the pool" = "area of the walkway".

Let R = Radius of the pool

Area of the circle bounded by the outside edge of the walkway is:

\(\pi\)(R +3)^2

Area of the pool is:

\(\pi R^2\)

Now, Our equation is:;

\(\pi\)(R +3)^2 - \(\pi R^2\) = 198

\(\pi\)((R+3)^2 - \(R^2\)) = 198

Open the inner bracket :

\(\pi\)(\(R^2+6R+9-R^2\)) = 198

\(\pi\)(6R +9) = 198

6R+9 = 198/\(\pi\)

6R = 198/\(\pi\) - 9

R = (198/\(\pi\) - 9)/6

R = (198/(3.14) - 9)/6

R = (63.057 - 9)/6

R = 54.057/6

R = 9.01 meters

Hence, The radius of the pool is 9.01 m.

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To determine whether the relation is a function, we need to check if each x-value is associated with only one y-value in the mapping diagram.

A mapping diagram is a picture of two circles that shows the connection between input and output values. Illustration of a mapping diagram. The x-values (inputs) in the image are converted to the associated y-values by drawing an arrow from one x-value to its corresponding y-value (outputs).

From the given mapping diagram, we can see that the x-value -8 is associated with the y-value -4, the x-value -5 is associated with the y-value -2, the x-value -1 is associated with the y-value -2, the x-value 1 is associated with the y-value -2, the x-value 12 is associated with both the y-value -4 and -2.

Since the x-value 12 is associated with two different y-values, the given relation is not a function. To be a function, each x-value must be associated with only one y-value in the mapping diagram.

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Answer: I think its C lmk if I'm wrong

Explanation:

This scenario where one variable increases, then the other increases, as well describes a positive correlation between two variables. So, correct option is A.

Positive correlation occurs when two variables increase or decrease together, meaning that as the value of one variable increases, the value of the other variable also increases.

For example, if we consider the relationship between the amount of time spent studying and the grade achieved on a test, a positive correlation would exist if students who study more tend to get higher grades.

Positive correlation is often represented by a scatter plot, where the points are clustered around a straight line sloping upwards from left to right.

The correlation coefficient, also known as Pearson's r, can be used to quantify the strength and direction of the relationship between two variables, with a value of +1 indicating a perfect positive correlation and a value of 0 indicating no correlation.

In summary, a positive correlation describes a scenario where two variables increase or decrease together, and is represented by a scatter plot with points clustered around a line sloping upwards from left to right.

So, correct option is A.

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Complete question is:

One variable increases, then the other increases, as well.

Which term would best describe this scenario?

A) positive correlation

B) hypothesis

C) transitional form

D) causation

Answer:

Part A:

Setting Up the Problem We Would Do 160 + 180   Because we are trying to figure how Much money he made over the summer.

160 + 180 = 340

So Javonie Made 340$ over the Summer

Part B:

Determine what you need to fine?

We trying to figure Out How Much he charged per dog?

To Set up this Problem We are going to Divide  160 Divided By 8

and 180 divided by 9

160 Divided by 8 is 20 In July

180 divided by 9 is 20

so the Answer Is Javonie Charged 20$ per dog in July.

xXxAnimexXx

Have a great day!

Answer: is c (70 degrees) I hope it helps anyone.

Step-by-step explanation:

RS is a tangent ⇒ ∠OSR = 90°

RT is a tangent ⇒ ∠OTR = 90°

OSRT is a quadrilateral, so has an angle sum of 360°

⇒ ∠OSR + ∠SRT + ∠OTR + ∠SOT = 360°

⇒ 90° + 40° + 90° + ∠SOT = 360°

⇒ 220° + ∠SOT = 360°

⇒ ∠SOT = 140°

Now use the Angle at the Center Theorem

∠SUT = ½ × ∠SOT = ½ × 140° = 70°

Answer:

  x = -3/2

Step-by-step explanation:

The removable discontinuity is at the value of x where a denominator factor cancels a numerator factor, and those factors are zero.

  \(p(x)=\dfrac{2x+3}{4x^2-9}=\dfrac{2x+3}{(2x+3)(2x-3)}=\dfrac{2x+3}{2x+3}\cdot\dfrac{1}{2x-3}\\\\p(x)=\dfrac{1}{2x-3}\qquad x\ne-3/2\)

That cancellation occurs where 2x+3 = 0, at x=-3/2.

The function p(x) has a removable discontinuity when x = -3/2.

(C) A parabola is the best representation of the situation that a second-degree polynomial regression equation would be used to mimic.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.

It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.

A parabola can be described using a point and a line.

The situation that a second-degree polynomial regression equation would be used to simulate is best described by a parabola.

The phrase "parabolic move" originated as trader jargon.

It describes when a stock experiences an increase in price that resembles the right side of a parabolic curve: A parabolic move happens when the stock's price rises at an exponentially faster rate.

Therefore,(C) a parabola is the best representation of the situation that a second-degree polynomial regression equation would be used to mimic.

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There are 9 ways to construct a sequence using the integers 1 to 10 such that each term is either larger than all the numbers to its left or smaller than all the numbers to its left. But the final count is 2 - 2 = 0.

To construct the sequence, we start by choosing the first number. We have two options: either choose the smallest number (1) or the largest number (10). Once we have chosen the first number, we continue by selecting the second number. If we chose the smallest number (1) as the first number, then the second number must be the largest number (10). Similarly, if we chose the largest number (10) as the first number, then the second number must be the smallest number (1).

For each subsequent number, the pattern continues: if the previous number was the smallest, we choose the largest, and if the previous number was the largest, we choose the smallest.

Since we have two options for the first number and then only one option for each subsequent number, we have a total of 2 × 1 × 1 × ... × 1 = 2 × 1^8 = 2 × 1 = 2^1 = 2 possibilities. However, we need to exclude the case where all the numbers are in increasing order or all the numbers are in decreasing order, so the final count is 2 - 2 = 0.

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Answer:

\(f(x)=\displaystyle \frac{6}{x}=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

Step-by-step explanation:

Recall the formula for Taylor Series:

\(\displaystyle f(x)=f(c)+f'(c)(x-c)+\frac{f''(c)(x-c)^2}{2!}+\frac{f'''(c)(x-c)^3}{3!}+...+\frac{f^n(c)(x-c)^n}{n!}=\sum^\infty_{n=0}\frac{f^n(c)}{n!}(x-c)^n\)

Determine the derivative function fⁿ(c):

\(\displaystyle f(c)=\frac{6}{c}=\frac{6}{1}=6\\ \\f'(c)=-\frac{6}{c^2}=-\frac{6}{1^2}=-6\\ \\f''(c)=\frac{12}{c^3}=\frac{12}{1^3}=12\\\\f'''(c)=-\frac{36}{x^4}=-\frac{36}{1^4}=-36\\\\....\\\\f^n(c)=6(-1)^{n}n!\)

Therefore, the infinite series can be written as:

\(\displaystyle f(x)=\frac{6}{x}=\sum^\infty_{n=0}\frac{6(-1)^nn!}{n!}(x-1)^n=\sum^\infty_{n=0}6(-1)^n(x-1)^n\)

The car reaches the speed of 60 miles per hour (i.e., 88 feet per second) in 40 seconds. Using a definite integral, it is determined that from the time the driver hits the gas pedal to the time the car reaches seconds the speed of 60 miles per hour, the car has traveled 1760 feet.

(a) To find the time it takes for the car to reach a speed of 60 miles per hour (88 feet per second), we can set up the equation:

v(t) = 88

2.2t = 88

Dividing both sides by 2.2:

t = 88 / 2.2

t = 40

Therefore, it takes the car 40 seconds to reach a speed of 60 miles per hour.

(b) To determine the distance traveled by the car from the time the driver hits the gas pedal to the time the car reaches a speed of 60 miles per hour, we can use a definite integral.

The integral of the velocity function v(t) gives us the displacement:

∫[0, 40] 2.2t dt

Integrating with respect to t:

[1.1t^2] evaluated from 0 to 40

[1.1(40)^2] - [1.1(0)^2]

[1.1(1600)] - [0]

1760 feet

Therefore, the car has traveled 1760 feet during the time it takes to reach a speed of 60 miles per hour.

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Answer: Jana

Step-by-step explanation: because she has the highest ratio 48 over 60 > 45 over 60

I did the test

Answer:

40x40/2 = 800

Step-by-step explanation:

step 1: 40x40= 1600

step 2: 1600/2=800

done

also did your father went out to get milk?

Answer:

800

Step-by-step explanation:

Answer:

(4+7x)(4-7x)

Step-by-step explanation:

Answer:

-82

Here you go :D

Answer:

7

Step-by-step explanation:

42/6=7

The minimum requirements for a class i aluminum main lightning conductor are a strand size, 95 pounds/1,000 feet weight per length, and a cross-sectional area of 98,600 circular mils.

These requirements are set by industry standards and regulations to ensure the safety and effectiveness of the lightning protection system. The strand size refers to the diameter of the individual wires that make up the conductor, which must meet a minimum size to withstand the forces of a lightning strike. The weight per length is a measure of the conductor's strength and durability, with a higher weight indicating a more robust design. Finally, the cross-sectional area is the total area of the conductor's circular shape, which impacts its ability to conduct electrical current and dissipate the energy from a lightning strike.

Overall, meeting these minimum requirements is essential for ensuring that a lightning protection system is capable of effectively capturing and directing the energy from a lightning strike to the ground, protecting the building and its occupants from potential harm.

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Answer:

x-2 =0

x=2

Step-by-step explanation:

we take -2 to the anther side it becomes 2

Answer:

-2

Step-by-step explanation:

A function is a rule for working out the values y for the given values x

For example, h = 3x and y = x^2 are functions. The notation g(x) is read as g of x. g is the function. g(x) = 3x means the function of x is 3x

So, when solving to find the value of x, you must substitute x for any given value.

For example, f(x) = 10/x. Work out f(5), you must substitute the 5 into the denominatior of the fraction 10/x . This becomes 10/5, which equals to 2.

But for your question, to find the value of x, substitute x with 0

You end up with -2

Hope this helps

BtW. the above statements are just notes. i thought they might help.

The value of m =  87 kg

The magnitude of force = 978.87 N

use Newton's second law (F = ma) to determine the mass of the man.

Then Tension force

= 192 kg.wt * 9.81 N/kg

≈ 1883.52 N

Net force = (Mass of lift + Mass of man) * Acceleration

Net force = (98 kg + m) * 1.4 m/s²

Net force = Tension force - Gravitational force

(98 kg + m) * 1.4 m/s²

= 1883.52 N - (98 kg + m) * 9.81 m/s²

Now, we can solve for m:

137.2 kg + 1.4m = 1883.52 N - 960.18 kg - 9.81m

10.61m = 923.34

m ≈ 87 kg

The mass of the man is approximately 87 kg

Force exerted by man = (87 kg * 9.81 m/s²) + (87 kg * 1.4 m/s²)

≈ 857.07 N + 121.8 N

≈ 978.87 N

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Answer:

Step-by-step explanation:

If the given is x^2 then the degree is 2.

Degree: 4 - x^2 = 2.

It is what is on the x to the highest power. If the question was

x^3 - 3x^2 + 2x + 4

The the degree would be 3

The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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Answer:

72% of 30 is 21.6

Step-by-step explanation:

Write 72/100 as a fraction, then multiply it by 30.

72/100 X 30 = 21.6

Calucator 72 ÷ 100 x 30 = 21.6

72 percent of the value 30 will be:  \(\frac{18}{25} * 30 = 21.6\) we get this value by using  fraction method.

A fraction represents a whole object or part of a collection. A fraction consists of two parts. The number at the top of the line is called the counter. Indicates how many equal parts of the whole or collection are taken. The number below the line is called the denominator. This gives the total number of equal parts divided into a whole, or the total number of equal objects in a collection.

If you divide the whole evenly, the number of parts will be a fraction.

If you divide the pie into 8 halves and place one of them on a plate, each plate is said to contain one-eighth of his pie. It is read as "one eighth" or "one times eight".

We know that:

4% of a number = \(\frac{1}{25}\)

therefore 4*18 = 72% of the same number will be: \(\frac{18}{25}\)

So we can say that \(\frac{18}{25} * 30 = 21.6\)

So the value of 72% of thee number 30 will be: 21.6

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Answer in

Step-by-step explanation:

2+2=4 total earring in the box.

If you put the earring back into the box before taking out the second, it would be

1/2*1/2=1/4,25%

If you leave the first earring out of the box,then it would be 1/2*1/3=1/6,16.7%.

Answer: To find r'(1), we need to use the chain rule of differentiation, which states that:

r'(x) = f'(g(h(x))) * g'(h(x)) * h'(x)

In this case, we know that:

h(1) = 2, g(2) = 4, h'(1) = 4, g'(2) = 4, and f '(4) = 7

Therefore:

r'(1) = f'(g(h(1))) * g'(h(1)) * h'(1) = f'(g(2)) * g'(2) * h'(1) = 7 * 4 * 4 = 112

So, the derivative of r(x) with respect to x at x = 1 is 112

Step-by-step explanation:

Answer:

-11°F<8°F lol why does this have to be 20 characters long