Find the value of y is x = -3

y = 4x² + 2x - 9

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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When grouping the given numbers according to congruence mod 13, we find the following groups:

Group 1: {-63}(equivalent to -11 mod 13)

Group 2: {-54, -41}(equivalent to -2 mod 13)

Group 3: {11, 76}(equivalent to 11 mod 13)

Group 4: {13,130}(equivalent to 0 mod 13

Group 5: {80,132}(equivalent to 2 mod 13)

Group 6: {137}(equivalent to 7 mod 13)

Here, we have,

To group the given numbers according to congruence mod 13, we need to find the remainders of each number when divided by 13.

We can find the remainder of a number when divided by 13 by using the modulo operator (%). For example, the remainder of 17 when divided by 13 is 4 (17 % 13 = 4).

Using this method, we can find the remainders of all the given numbers as follows:

=> (-63) % 13= -11

=> -54 % 13 = -2

=> -41 % 13 = -2

=> 11 % 13 = 11

=> 13 %13 = 0

=> (76) % 13 = 11

=> (80) % 13 = 2

=>130 % 13 = 0

=>132 %13 = 2

=>137 % 13 = 7

Now, we can group the numbers according to their remainders as follows:

Group 1: {-63}(equivalent to -11 mod 13)

Group 2: {-54, -41}(equivalent to -2 mod 13)

Group 3: {11, 76}(equivalent to 11 mod 13)

Group 4: {13,130}(equivalent to 0 mod 13

Group 5: {80,132}(equivalent to 2 mod 13)

Group 6: {137}(equivalent to 7 mod 13)

The given numbers have been grouped according to congruence mod 13. Numbers in the same group are equivalent mod 13, i.e., they have the same remainder when divided by 13.

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Answer:

Answer 1:Angles forming a linear pair sum to 180°

Answer 2: Substitution

Answer 3: Definition of perpendicular line

Step-by-step explanation:

hope this helps you...

The overall range of mixtures = \(^{52}C_5\)= 52*51*50*49*48/one hundred twenty = 2598960. Decide the chance that exactly four of these playing cards are Aces.

In view that four playing cards are aces, the fifth can are available 48 methods.

=> possibility = 49*100/2598960

Solution: 0.0018%

Decide the opportunity that all 5 of those cards are Spades.

Given that they may be all spades, they can are available  \(^{13}C_2\)  methods = 13*12*11*10*9/one hundred twenty = 1287 approaches.

=> possibility = 1287*100/2598960

Answer: 0.0495%

Determine the possibility that exactly 4 of those playing cards are face playing cards.

There are four*3 = 12 face playing cards.

The four face cards may be chosen in  \(^{12}C_2\)  approaches = 12*eleven*10*nine / 24 = 495.

The remaining card can be any of the forty non-face cards. So it may be selected in forty methods.

=> chance = 495*forty*100/2598960

Solution: zero.7618%

Decide the probability of selecting precisely 2 Aces and precisely 2 Kings

The two aces may be chosen in  \(^4}C_2\)  approaches. the two kings can be selected in \(^4}C_2\) methods. The ultimate card may be any of the closing forty four.

So total mixtures =  \(^4}C_2\)  *  \(^4}C_2\)  * forty four = 6*6*44 = 1584

=> probability = 1584*one hundred/2598960

Solution: 0.0609%

Determine the opportunity of choosing precisely 1 Jack.

The 1 jack may be chosen in 4 ways.

The ultimate four playing cards can be selected in  \(^{51}C_2\)  approaches

= fifty one*50*49*48 / 24

= 249900

=> probability = 4*249900*one hundred/2598960

Answer: 38.46%

The study of chance and uncertainty is covered in the mathematical field of probability. It is a way to gauge how likely or unlikely something is to happen. We can measure and analyse uncertain occurrences using a framework provided by probability theory, which also enables us to forecast the future and make wise judgements.

An event's probability is always in the range of 0 and 1, with 0 denoting that it won't happen and 1 denoting that it will definitely happen. By dividing the number of favourable outcomes by the total number of potential outcomes, one may determine the probability of an occurring.. The rules of probability include the addition rule, the multiplication rule, and the complement rule, which are used to calculate the probability of complex events. Probability theory finds its application in various fields, including statistics, economics, physics, and computer science.

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Complete Question:-

A poker hand consists of five cards randomly dealt from a standard deck of 52 cards. The order of the cards does not matter. Determine the following probabilities for a 5-card poker hand. Write your answers in percent form, rounded to 4 decimal places.

Determine the probability that exactly 4 of these cards are Aces. Answer: %

Determine the probability that all five of these cards are Spades. Answer: %

Determine the probability that exactly 4 of these cards are face cards. Answer: %

Determine the probability of selecting exactly 2 Aces and exactly 2 Kings Answer: %

Determine the probability of selecting exactly 1 Jack. Answer: %

Answer:

Question number 8 u place the number 1 line before -1 on the left.

Step-by-step explanation:

cuhcuhcuhcuchcuhcuhc

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Answer:

Step-by-step explanation:

Vertex (a max) is at (-3, 2).

Axis of symmetry is the vertical line x = -3.

y-intercept is (0, -1)

You can read this info directly from the illustration.

Answer:

B

Step-by-step explanation:

30 + 10 (x - 20) = 5

you cant add the numbers in the parenthesis so you add the first two numbers and distribute.

40 (x - 20) = 5

40x - 800 = 5

Approximately 368 people must be included in the experiment to estimate the probability accurately.

To estimate the probability p that a person will react in manner a, the experimenter wants the error of estimation ε to be less than 0.06 with a probability of 0.95. The expected value of p is around 0.4. To determine the number of people needed for the experiment, we can use the formula:

n = (Z^2 * p * (1-p)) / (ε^2)

where Z is the standard normal value corresponding to the desired level of confidence. For a 95% confidence level, Z is approximately 1.96. Plugging in the values, we get:

n = (1.96^2 * 0.4 * (1-0.4)) / (0.06^2)

Simplifying this equation, we find that approximately 368 people must be included in the experiment to estimate the probability accurately.

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Answer: 120

Step-by-step explanation: divide 24 by 5 to get 4.8 so its 4.8 minutes for one question

25 x 4.8 = 120

The derivative dy/dx of the equation ysin(x^2) = xsin(y^2) is given by (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

In the given equation, y and x are both variables, and y is implicitly defined as a function of x. To find dy/dx, we differentiate each term using the chain rule and product rule as necessary.

Differentiating the left-hand side of the equation, we apply the product rule to ysin(x^2). The derivative of ysin(x^2) with respect to x is dy/dxsin(x^2) + ycos(x^2)*2x.

Differentiating the right-hand side of the equation, we apply the product rule to xsin(y^2). The derivative of xsin(y^2) with respect to x is sin(y^2) + x*cos(y^2)2ydy/dx.

Now we have two expression for the derivative of the left and right sides of the equation. To isolate dy/dx, we can rearrange the terms and solve for it.

Taking the derivative of ysin(x^2) = xsin(y^2) with respect to x using implicit differentiation yields:
dy/dxsin(x^2) + ycos(x^2)2x = sin(y^2) + xcos(y^2)2ydy/dx.

By rearranging the terms, we can solve for dy/dx:
dy/dx * (sin(x^2) - 2yxcos(y^2)) = sin(y^2) - y*cos(x^2)*2x.

Finally, we can obtain the value of dy/dx by dividing both sides by (sin(x^2) - 2yxcos(y^2)):
dy/dx = (sin(y^2) - ycos(x^2)2x) / (sin(x^2) - 2yxcos(y^2)).

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Answer:

1. or a

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

The values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

We can use the logarithm properties to find the value of log57 given that log75 is 0.83.

One of the logarithm properties states that:

log(a * b) = log(a) + log(b)

Using this property, we can express log57 in terms of log75:

log57 = log(5 * 3 * 19)

Now, we can use the fact that log75 is 0.83 to find log5, log3, and log19, and then add them together to get the value of log57:

log57 = log(5 * 3 * 19)

log57 = log5 + log3 + log19

However, since the values of log5, log3, and log19 are not provided, we cannot determine the exact value of log57 without this information.

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The equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

To find log57 using the given information log75 = 0.83, we can use the change of base formula:  

if log75 = 0.83, then log57 ≈ 0.827. To find log57 using the given information log75 = 0.83, we can use the change of base formula:log_b(a) = log_c(a) / log_c

Here, we want to find log57 (log_7(5)) using the given information log75 (log_5(7)).

We can rewrite the change of base formula as:log_7(5) = log_x(5) / log_x(7)We know that log_5(7) = 0.83,

so we can substitute this value into the equation:log_7(5) = log_x(5) / 0.83

Now we can use any common base, like base 10 or base e, to find the value of log_7(5). Let's use base 10:log_7(5) = log_10(5) / log_10(7)Now

we can calculate the values of log_10(5) and log_10(7) using a calculator:log_10(5) ≈ 0.69897log_10(7) ≈ 0.84510

Now substitute these values back into the equation:log_7(5) = 0.69897 / 0.84510Now divide to get the value of log_7(5):log_7(5) ≈ 0.82706So, if log75 = 0.83, then log57 ≈ 0.827.

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To calculate the value of the reward function V(s), you can use the following equation:

V(s)=max a,b R(s,a,b) where,max a,b represents taking the maximum value over all possible actions a and b for state s.

The value of the reward function V(s) represents the maximum possible reward that can be obtained in state s. It is calculated by considering all possible actions a and b in state s and selecting the action pair that results in the maximum reward.

The player is placed in a random room with a randomly selected quest at the beginning of each game episode. The reward function R(s,a,b) provides the rewards for different combinations of actions a and b in state s. The goal is to find the action pair that yields the highest reward for each state.

By calculating the maximum reward over all possible action pairs for each state, we obtain the value of the reward function V(s). This value can be used to evaluate the overall potential reward or value of being in a particular state and guide decision-making in the game.

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The value of the expression z + 3x4 using arithmetic operation where z = 15, is 27. The answer is A) 27.

The given expression is z + 3x4, where z = 15. To evaluate this expression, we substitute 15 for z and perform the multiplication. First, we multiply 3 and 4, which gives us 12. Then, we add 15 and 12 to get the final result of 27.

z + 3x4 = 15 + 3x4

= 15 + 12

= 27

Therefore, the value of the expression when z = 15, is 27. In other words, using arithmetic operation of multiplication and addition, which gives us the final answer of 27. So, the correct answer is option A).

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____The given question is incomplete , the complete question is given below:

Evaluate the expression, where z = 15

z + 3x4

A. 27

B. 32

C. 56

D. 1,304

Answer:

\(6x^2-3x\)

Step-by-step explanation:

\(3x(2x-1)\)

\(3x(2x)+3x(-1)\)

\(6x^2+-3x\)

After apply distributive property, required solution is,

⇒ 6x² - 3x

We have tp given that,

An expression to simplify,

⇒ 3x (2x - 1)

We can simplify it by distributive property,

⇒ 3x (2x - 1)

⇒ 3x × 2x - 3x × 1

⇒ 6x² - 3x

Therefore, The required solution is,

⇒ 6x² - 3x

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Answer:

b no solution

Step-by-step explanation:

there is no solution

Answer:

The answer is B

Step-by-step explanation:

And B is no solution.

Hope this helps!

A rule for the reflection over the y-axis followed by a translation left 2 units and up 4 units is (x, y) → (-x - 2, y + 4).

Consider an original figure.

Let (x, y) be any point on that figure.

When this figure is reflected over the y axis, the point on the original figure will be (-x, y).

So the first rule after reflection is,

(x, y) → (-x, y)

The second transformation is the translation of the reflected figure to the left by 2 units and to the upwards direction by 4 units.

So the rule will be then,

(-x, y) → (-x - 2, y + 4)

So the complete rule from the first figure can be represented as,

(x, y) → (-x - 2, y + 4)

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The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is (b) The 95% C.I. is more precise in estimating a mean than the 90% C.I.

You have a 5% probability of being incorrect with a 95% confidence interval. You have a 10% probability of being incorrect with a 90% confidence interval.

The upper and lower numbers of a range with a 95% confidence interval (CI) of the mean are determined from a sample. This range describes potential possibilities for the mean because the actual population mean is unknown. Hence, the 95% C.I. is more precise in estimating a mean than the 90% C.I.

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Answer:

7

Step-by-step explanation:

21/3

3 will council it self one and 21 7times

Answer:

(B)

Step-by-step explanation:

You are welcome and can you please give me brainliest

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Given statement solution is :-The price of the less expensive car is $31, and the price of the more expensive car is $31 + $4 = $35.

Let's denote the price of the less expensive car as "x" dollars. According to the given information, the more expensive car costs $4 more than the less expensive car, so its price would be "x + $4" dollars.

The owner can buy 5 more of the less expensive cars for $120 than the more expensive car. This means that the price of 5 less expensive cars is $120 more than the price of one more expensive car. Mathematically, we can express this as:

5x = (x + $4) + $120

Now let's solve this equation to find the value of "x":

5x = x + $4 + $120

5x = x + $124

4x = $124

x = $124 / 4

x = $31

Therefore, the price of the less expensive car is $31, and the price of the more expensive car is $31 + $4 = $35.

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(a) We have shown that there exists an element b ∈ B that is an upper bound for A.

(b) The statement in part (a) is not always the case if we only assume sup A ≤ sup B.

(a) If sup A < sup B, show that there exists an element b ∈ B that is an upper bound for A.

Proof:
1. By definition, sup A is the least upper bound for set A, and sup B is the least upper bound for set B.
2. Since sup A < sup B, there must be a value between sup A and sup B.
3. Let's call this value x, where sup A < x < sup B.
4. Now, since x < sup B and sup B is the least upper bound of set B, there must be an element b ∈ B such that b > x (otherwise, x would be the least upper bound for B, which contradicts the definition of sup B).
5. Since x > sup A and b > x, it follows that b > sup A.
6. As sup A is an upper bound for A, it implies that b is also an upper bound for A (b > sup A ≥ every element in A).

Thus, we have shown that there exists an element b ∈ B that is an upper bound for A.

(b) Give an example to show that this is not always the case if we only assume sup A ≤ sup B.

Example:
Let A = {1, 2, 3} and B = {3, 4, 5}.
Here, sup A = 3 and sup B = 5. We can see that sup A ≤ sup B, but there is no element b ∈ B that is an upper bound for A, as the smallest element in B (3) is equal to the largest element in A, but not greater than it.

This example shows that the statement in part (a) is not always the case if we only assume sup A ≤ sup B.

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Answer:

Options b) d) e)

Answer:

The answer is "Option C".

Step-by-step explanation:

There are goats behind two curtains, one behind every door.  

Whenever a contender chooses a curtain, this contender is told the curtain had a goat behind all this by one of the certain to curtains.  

Currently, one of two curtains another containing the car and one bearing a goat is provided to be chosen by the contestant. There is therefore an equal probability of \(\frac{1}{2}\).  Picking a car or a goat.  

Similarly, provided that

Strategies and tactics likelihood A= 10 % = 2 in 20 trails effective.  

Stratery B's chance = 80 % = 16 achievements in 20 directions = 80%  

Therefore,

\(\to \text{16 success} = 2 \ success+2\ success + 2\ success + 2\ success+ 2\ success +2\ success + 2\ success+ 2\ success + 2\ success}\\\\\to 16 \ success = 8(2 \ success) \\\)

\(\to 80 \% = 8 \times 10 \% \\\\\to 80 \% = 80 \%\)

its result value is expected not surprising.