A ball is dropped from 2 meters and rises up by 75%

The equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.

In the given equation we have to find the equation of circle with center and radius.

The given center is (-3, -5).

Radius = 4

The standard equation of a circle with center and radius.

(x−a)^2+(y−b)^2=r^2

where a and b represent a point of center and r represent a radius.

So a=-3, b=-5 and r=4.

Putting the value in the standard equation.

(x−(-3))^2+(y−(-5))^2=(4)^2

Simplifying

(x+3)^2+(y+5)^2=16

Hence, the equation of a circle with center (-3, -5) and radius 4 is (x+3)^2+(y+5)^2=16.

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The solution of the system of equations is (x, y) = (1/3, 1/3).

To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.

1. Substitution method:

We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have

Y + 2x = 3y ...(3)Now substitute equation (3) into equation

(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2

Multiplying both sides by 2:

6y - 4x = 3x - 2 Grouping like terms:

6y - 3x = 2 Adding 3x to both sides:

6y = 3x + 2Dividing both sides by 6:

y = (3/6)x + 2/6y = (1/2)x + 1/3

Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).

2. Elimination method:

We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are

Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,

we get;2Y = 6y - 4x ...(3)Multiplying equation (2)

by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),

we get;-4x = -9x + 8

Simplifying;-4x + 9x = 8x = -8x = -2

Therefore, we found the value of x, which is -2.

Substitute the value of x in either equation (1) or (2);

If we substitute x = -2 in equation (1), we get;

Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)

;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10

Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.

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Answer:

B.

Step-by-step explanation:

I think B is the answer.......

We get more money off when we follow order 1, that is, second deal follows first deal.

Given,

There are two deals in an online electronics retailer.

First deal: 10% off on your total purchase = x × (90/100)

Second deal: $20 off on a purchase of minimum $100 = x - 20

x be the money we spend.

We have to spend a minimum of $100.

They allowed us to use both deals.

We have to find the order of deals.

Lets check:

Order 1:

First deal, then Second deal.

First deal, x = 100

ie, x × (90/100) = 100 × (90/100) = 90

Second deal, x = 90

ie, x - 20 = 90 - 20 = 70

100 - 70 = 30

ie, $30 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 100

x - 20 = 100 - 20 = 80

First deal, x = 80

ie, x × (90/100) = 80 × (90/100) = 72

100 -72 = 28

ie, $28 will get off when we apply this order.

So, we can go for order 1.

Now lets check the same with x = 150 and x = 500

x = 150

Order 1:

First deal, then Second deal.

First deal: x = 150

ie, x × (90/100) = 150 × (90/100) = 135

Second deal, x = 135

ie, x - 20 = 135 - 20 = 115

150 - 115 = 35

ie, $35 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 150

x - 20 = 150 - 20 = 130

First deal, x = 130

ie, x × (90/100) = 130 × (90/100) = 117

150 - 117 = 33

ie, $33 will get off when we apply this order.

So, we can go for order 1.

x = 500

Order 1:

First deal, then Second deal.

First deal: x = 500

ie, x × (90/100) = 500 × (90/100) = 450

Second deal, x = 450

ie, x - 20 = 450 - 20 = 430

500 - 430 = 70

ie, $70 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 500

x - 20 = 500 - 20 = 480

First deal, x = 480

ie, x × (90/100) = 480 × (90/100) = 432

500 - 432 = 68

ie, $68 will get off when we apply this order.

So, we can go for order 1.

Lets  conclude that,

We get more money off when we follow order 1, that is, second deal follows first deal.

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The graph of the linear relationship is represented by the equation y = 3x - 5

An equation is an expression relating two or more numbers and variables.

The standard form of a linear equation is:

Ax + By = C

where A, B and C are constants

The slope - intercept form of a linear equation is:

y = mx + b

Where m is the rate of change(slope) and b is the y intercept.

The graph of the linear relationship was plotted using the points from the table. The graph is attached

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Answer:

10626 different recital programs possible

Step-by-step explanation:

Since  there is no repetition we can tackle this problem in the following manner.

Out of the 23 pieces, the pianist can choose the first one in 23 ways

Out of the remaining 22 pieces she can choose the second one in 22 different ways

Out of the remaining 21 pieces she can choose the third one in 21 different ways

So total number of ways in which 3 pieces can be played without repetition is 23 x 22 x 21 = 10,626 ways

There is a formula for this kind of situation
If there are a total of n items and you want to choose r items from this, the number of possible ways to do this without repetition is given by the formula

\(_{n}P_{r} = \dfrac{n!}{(n-r)!}\)

In this case, n = 23, r = 3 so we get
\(_{23}P_{3} = \dfrac{23!}{(23-3)!} = \dfrac{23!}{20!} = 23 \times 22 \times 21 = 10626\)

Same as the above

Approximate percent increase in how much the student pays with Optin 2 versus Option is 20%

$540 plus 15% sales tax now.=$515

Pay exactly $120 now and then $58 each month for 9 months=$642

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The probability of winning this lottery game is 1/10,000 or 0.0001 (0.01% chance). The probability of winning a state lottery game where the winning number is made up of four digits from 0 to 9 chosen at random can be calculated as follows.

First, we need to determine the total number of possible outcomes. There are 10 digits (0 to 9) and we are choosing four of them, so the total number of possible outcomes is 10 x 10 x 10 x 10 = 10,000.

Next, we need to determine the number of favorable outcomes, which is the number of ways to choose four digits from 0 to 9. This is a combination problem, and we can use the formula nCr = n! / r!(n-r)! where n is the total number of options and r is the number of choices. So in this case, n = 10 and r = 4, giving us 10C4 = 10! / 4!(10-4)! = 210 favorable outcomes.

Finally, we can calculate the probability of winning by dividing the number of favorable outcomes by the total number of outcomes:

Probability of winning = favorable outcomes / total outcomes
Probability of winning = 210 / 10,000
Probability of winning = 0.021 or 2.1%

So the probability of winning a state lottery game where the winning number is made up of four digits from 0 to 9 chosen at random is 0.021 or 2.1%.
Hi! The probability of winning a state lottery game with a four-digit winning number, where each digit ranges from 0 to 9, can be calculated as follows:

There are 10 choices (0 to 9) for each of the four digits. Thus, the total number of possible combinations is 10 x 10 x 10 x 10 = 10,000. Since there is only one winning number, the probability of selecting that number at random is 1 out of the total possible combinations.

So, the probability of winning this lottery game is 1/10,000 or 0.0001 (0.01% chance).

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Answer:

aₙ = 31n -  5

Step-by-step explanation:

The terms of your sequence are.

26, 57, 88, …

This is an arithmetic sequence, because there is a constant difference of 31 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 26 + 31(n - 1) = 26 + 31n - 31

aₙ = 31n - 5

The explicit rule for the arithmetic sequence is aₙ = 31n - 5.

Answer:

It is easy  20.4 miles per gallon

Step-by-step explanation:

All you have to do is divide

I hope this helps :)

Answer:

955

Step-by-step explanation:

1100=5tins (t)

t= 220

3t+2packets=710

3(220)+2p=710

p=25

4t+3p=?

4(220)+3(25)= 955

Answer:955

Step-by-step explanation:

1100=5 tins

1100 ÷5=220

one tin=220

3 tins +2 packets=710

3(220)+2 packets=710

660+2 packets=710

710-660=50

2 packets= 50

50÷2=25

one packet=25

4(220)+3(25)=?

880+75=955

answer is 955 grams

Answer: If F(x) = f (g (x) ), then by the Chain Rule. F ' (x) = f ' (g(x)) g ' (x) Now is simply a matter of plugging in numbers. F ' (5) = f ' (g(5)) g ' (5)

If F(x) = f(g(x)), where f(4) = 5, f '(4) = 6, f '(3) = 4, g(3) = 4 ...

If g (x) = x*f (x) where f (3) = 4 and f' (3) = -2...

Step-by-step explanation:

If F(x) = f(g(x)), where f(−1) = 6, f '(−1) = 7, f '(2) = 5, g(2) = −1, and g'(2) = 2, find F '(2)

a) The speed of the car in front of you appears to be coming towards you is 41t₀. The speed of the car behind you appears to be gaining on you at the same speed is 41t₀. Someone standing on the ground would say that the two cars are moving at t₀ + 41t₀ = 82t₀.

b) We know that the speed of the fish in still water is V, and the speed of the current is C. And the time the fish takes to swim downstream is 61t₀ and upstream is 31t₀. So:

Downstream: V + C = L / (61t₀)

Upstream: V - C = L / (31t₀)

Adding the two equations we get:

2V = (4L / 61t₀) → V = (2L / 61t₀)

Therefore, C = (L / 61t₀) which is the speed of the current.

c)In order to get across the river, you have to swim at a speed perpendicular to the current (so that you don't get drifted away) and with a speed of fa * 3L, as given. Therefore, the required angle can be found by:

f a3L = (V cos α)sin α

= (C cos α)sin αtan α

= (fa * 3L) / C

= 3fa * 61t₀ / Ld)

The width of the river is 31L. The time taken to get across can be found using the formula:

Time = (Distance) / (Speed)

Since the speed of the current is C, the effective speed (in still water) is fa * 3L, the distance to be crossed is 31L, and the time taken is:

Time = (31L) / (fa * 3L - C)  

= (31L) / (3fa * 61t₀ / L)

= (31L²) / (3fa * 61t₀)

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The solution of the expression as a single power is X²⁹.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is (x⁴)(x¹⁰)/(x³)⁵. The equation will be solved by the property of exponents.

E = (x⁴)(x¹⁰)/(x³)⁵

Add all the powers of the same base x.

E =  (x⁴)(x¹⁰)/(x¹⁵)

E = x⁽⁴⁺¹⁰⁺¹⁵⁾

E = x²⁹

Therefore, the solution of the expression as a single power is X²⁹.

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Answer:

the lines are perpendicular. the reason it will be perpendicular is because its going to be intersected by those right angles.

Answer:

IF TWO LINES ARE PERPENDICULAR ,THEN THEY MEET TO FORM RIGHT ANGLES .

Step-by-step explanation:

Answer: The expected value of V can be calculated as the sum of the products of the possible values of V and their corresponding probabilities. Let's consider the three possible scenarios:

Using the utility function, we can see that the expected value of V is:

E[V] = 0 * 0.2 + (1/2) * (0.8 * 9/10) + 10 * (0.8 * 1/10)

E[V] = 0 + 0.36 + 0.8

E[V] = 1.16

Therefore, the expected value of V is 1.16. However, since V represents the number of healthy vacation days, it must be a non-negative integer. So, the closest integer to 1.16 is 1. Therefore, the answer is c. 2.

Answer:

6,428

Step-by-step explanation:

solo usa una calculadora o una hoja de papel

Espero que esto te ayude y que tengas un gran dia.

Answer:

10,001 is a bigger number and 3,573 is smaller

Step-by-step explanation:

10,001 is a bigger number and 3,573 is smaller

Answer:

hope this helps :)

Answer:

12 should be 1 as in 1 foot. 1' 1/4"

Step-by-step explanation:

Answer:

3rd graph

Step-by-step explanation:

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

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The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

8x+9

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Combine like terms:

2x+9+6x=8x+9

Step-by-step explanation:

Combine like terms:

2x+9+6x=8x+9

Answer:

8x+9

Plzzzz give me Brainliest!  

Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

Answer:

100km

Step-by-step explanation:

Time taken to travel to Bangi:

x/80 hours

15min = 1/4hrs

Time taken to travel back:

x/80 - 1/4

x= x/(x/80-1/4)

x^2-100x=0

x(x-100)=0

x=0 (rejected) or x=100

Answer:

B. 100km

Step-by-step explanation:

Brainliest please

An organized list of all the possible color combinations for the car is g1, g2, g3, g4

h1, h2, h3, h4

j1, j2, j3, j4

There are a total of 3 exterior colors (g, h, j) and 4 interior colors (1, 2, 3, 4), so there are 3*4 = 12 total possible color combinations for the car. Here is an organized list of all the possible color combinations:

g1, g2, g3, g4

h1, h2, h3, h4

j1, j2, j3, j4

This means that a car can have exterior color g and interior color 1, exterior color h and interior color 2, and so on. There are a total of 12 possible color combinations in this case.

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The DFT of y = [2, 1, 0, 3] in terms of x0, x1, x2, x3 is given by Y(k) = (2 + 3*exp(-j*2π*k/4)) + (exp(-j*2π*k/4)) * (x0 - 3*exp(-j*2π*k/4) + x3).



To determine the DFT of y = [2, 1, 0, 3], we can use the definition of the DFT formula. The formula for the kth element of the DFT of a sequence x of length N is:

X(k) = Σ[n=0 to N-1] (x(n) * exp(-j*2π*k*n/N))

Given that the DFT of x = [2, 0, 6, 4] is x = [x0, x1, x2, x3], we can substitute these values into the formula to find the DFT of y.

Y(k) = Σ[n=0 to N-1] (y(n) * exp(-j*2π*k*n/N))

    = y0*exp(-j*2π*k*0/N) + y1*exp(-j*2π*k*1/N) + y2*exp(-j*2π*k*2/N) + y3*exp(-j*2π*k*3/N)

Substituting the values of y = [2, 1, 0, 3], we get:

Y(k) = 2*exp(-j*2π*k*0/4) + 1*exp(-j*2π*k*1/4) + 0*exp(-j*2π*k*2/4) + 3*exp(-j*2π*k*3/4)

Simplifying the exponential terms and rearranging, we can express the DFT of y in terms of x0, x1, x2, x3:

Y(k) = (2 + 3*exp(-j*2π*k/4)) + (exp(-j*2π*k/4)) * (x0 - 3*exp(-j*2π*k/4) + x3)

Therefore, the DFT of y can be expressed in terms of x0, x1, x2, x3 as shown above.

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Answer:

this is a positive correlation

Step-by-step explanation:

it is going up so its positive

Answer:

Positive Correlation

Step-by-step explanation:

The graph shown as a positive correlation.

Two variables move in the same direction in a positive correlation.

You can also tell that the graph has a correlation that is positive because of the line moving in a upward direction from left to right.

Hope this helps.  

Answer:

the second one the positive correlation

Step-by-step explanation:

the x and y are both positive

The graph shown as a positive correlation.

Two variables move in the same direction in a positive correlation.

You can also tell that the graph has a correlation that is positive because of the line moving in a upward direction from left to right.

Hope this helps.