Will mark brainliest! HELP MEEE!!

Answer:

False

Step-by-step explanation:

The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.

The calculation of the provided data, according to the question, is as follows:

$8000 is the credit limit on the card.

Paid in Full = $2,500

$1,500 has been credited to the account.

The value of recent purchases made by Pavi is $3,000

Applied finance charges equal $7.50

The card's current balance is equal to $4,007.50.

Using the formula below, we can now determine the amount of credit that is now available on the card:

The credit line on the card = Available Credit - New Balance

By entering values into the formula provided, we obtain

Credit available on the current card: $8,000 - $4,007.50= $3,992.50.

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Answer:

50,000,000

Step-by-step explanation:

10,000,000 has 7 0's I just counted backward from the last three 6x and that gave me the answer of 3,000,000 sorry if it's wrong :c

Solution:

To multiply the number 2.49 by 0.21

Rounded to two decimal places,

Therefore, the answer correct to two decimal places is 0.52

OPTION 3 is correct.

In summary, fy(a,b) is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

The given expression represents the partial derivative of f(x, y) with respect to y, evaluated at (a, b):

fy(a,b) = lim┬(y→b)⁡〖[f(a,y) - f(a,b)]/(y - b)〗

Geometrically, this partial derivative represents the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

To see why this is the case, consider the following argument:

Let L be the limit in the expression given above.

Let h = y - b be the change in the y-coordinate from b to y.

Then, we can rewrite the limit as:

fy(a,b) = lim┬(h→0)⁡〖[f(a,b + h) - f(a,b)]/h〗

This expression represents the average rate of change of f(x, y) with respect to y over the interval [b, b + h].

As h approaches 0, this average rate of change approaches the instantaneous rate of change, which is the slope of the tangent line to the surface defined by f(x, y) at the point (a, b) in the y-direction.

Therefore, fy(a,b) is the partial derivative of f(x, y) with respect to y, evaluated at (a, b).

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Answer:

23

Step-by-step explanation:

23

Answer:

-449.28

Step-by-step explanation:

I used a calculator

Stephanie walked 6 more blocks to the coffee shop from her sister's work place.

Finding the difference between two numbers is done using the subtraction technique. If you have an object group and remove a couple of them, the object group gets smaller. For example, suppose you purchased 9 cupcakes for your birthday party and your guests consumed 7 cupcakes. You're now down to two cupcakes. This can be expressed as a reduction formula:  9 - 7 = 2, which means "nine less seven equals two." The result of subtracting 7 from 9 is 2, or (9 - 7) Here, we divided two numbers, 9, and 7, by one another to get the difference of 2.

How to solve?

total number of blocks from the store to the coffee shop = 8

number of blocks between store and Stephanie's sister's work = 2

Number of blocks Stephanie has to walk to get coffee from her sister's work = 8 - 2 = 6

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Answer:

a) 0.3

Step-by-step explanation:

The probability of getting a red ball, the number of black balls and total balls are 0.3, 2 and 10 respectively.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of getting a black ball is 0.2.

The probability of getting a white ball is 0.5.

(a) As the bag contains only black, white and red balls, the probability of getting a red ball is,

1 - (0.2 + 0.5)

= 0.3

(a) The probability of getting white balls can be written as,

P (white ball) = Number of white balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 5 ÷ 0.5

                                   = 10

Similarly, for black balls it can be written that,

P (black ball) = Number of black balls ÷ Total number of balls

Substitute all the given values to get,

Number of black balls = 10 × 0.2

                                    = 2

(c) When number of red balls are three then,

P (red ball) = Number of red balls ÷ Total number of balls

Substitute all the given values to get,

Total number of balls = 3 ÷ 0.3

                                    = 10.        

Hence, the answers for all the parts are 0.3, 2 and 10 respectively.

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Answer:

The angle for each slice is 45 degrees.

Step-by-step explanation:

In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:

pizza area = pi*r²

r = d / 2 = 14 /2 = 7 inches

pizza area = pi*(7)² = 153.86 square inches

Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:

slice area = pizza area  / 8 = 153.86 / 8 =19.2325 square inches

Each slice is a circle sector, therefore it's area is given by:

slice area = (angle*pi*r²)/360

Therefore we can solve for angle:

19.2325 = (angle*pi*7²)/360

angle*pi*49 = 6923.7

angle = 6923.7 / pi*49 = 45 degrees

The angle for each slice is 45 degrees.

False. According to the regression equation y Ì = 16 + 2.3x, an increase in x of 2.0 would lead to an average increase of y of 4.6 is not expected.

The slope of the regression equation, which is 2.3 in this case, represents the average change in y for a unit change in x. Therefore, if x increases by 2.0, the expected increase in y would be 2.3 multiplied by 2.0, which is 4.6 (2.3 x 2.0 = 4.6). So the statement in the question that an increase in x of 2.0 would lead to an average increase of y of 4.6 is incorrect as it should be 2.3 multiplied by 2.0, which is 4.6.

As for the second part of the question, the statement is True. In simple linear regression, the values for the slope (2.3 in this case) and the intercept (16 in this case) are chosen in a way that minimizes the sum of squared errors between the predicted values and the actual values of the dependent variable (y). This is done using a statistical method called the method of least squares, where the goal is to find the line that best fits the data by minimizing the overall squared differences between the predicted and actual values.

Therefore, the values of the slope and the intercept are indeed chosen to minimize the sum of squared errors in simple linear regression.

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Answer:

(5,2)

Step-by-step explanation:

5 how much to the right you will go and 2 is how much you would go up by.

(I don’t know if I explained it well but it makes sense to me)

Anyway hope it helps

Answer:

The discriminant is less than 0, so there are two complex roots.

Step-by-step explanation: i think

The length of the side of the frame will be 6.33  to the nearest inch.

All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.

Then the area of the square would be;

Area of the square = a² square units

We have been given that Rafael is constructing a square-shaped frame. And the frame has a 40 square inches surface area.

A = a²

40 = a²

a = √40

a = 6.33 inches

Hence, The length of the side of the frame to the nearest inches will be 6.33  to the nearest inch.

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The equation of the line that is parallel to y=-5x+6 and passes through the point (-4,-1) is y = -5x-21.

Given data :

Here, given equation of line is y = -5x+6

Required line is parallel to this given line, so we can say that the slope is same for the lines.

General equation of a line be y = mx+c ,  where m is the slope

Comparing given equation with this equation we get,

m = -5

The required line also passes through the point (-4, -1)

Now, we know that,

m = (y2-y1)/(x2-x1).

⇒ -5 = (-1 - Y ) / ( -4 - x )

⇒ -5 = y + 1 / x + 1

⇒ y+1 = -5x-20

⇒ y = -5x-21

Hence the equation proved.

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Answer: 4.5

Step-by-step explanation:

This equation holds true, which confirms that AB is indeed the hypotenuse of the right triangle.

If the Pythagorean equation holds for all right triangles and ∠C is a right angle, then we can use the Pythagorean theorem to show that side AB is indeed the hypotenuse of the triangle.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So in this case, we have side AB as the hypotenuse, and sides AC and BC as the other two sides.

According to the Pythagorean theorem, we have:
AB^2 = AC^2 + BC^2

Since ∠C is a right angle, AC and BC are the legs of the triangle. By substituting these values into the equation, we get:
AB^2 = AC^2 + BC^2
AB^2 = AB^2

This equation holds true, which confirms that AB is indeed the hypotenuse of the right triangle.

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Answer:

The first option.

Step-by-step explanation:

Domain is anything less than or equal to 2, but anything greater than or equal to -4

Range is anything greater than or equal to -4, but also less than or equal to 4

The equivalent expression of square root of -64 is 8i

We have:

square root of -64

Rewrite as:

√-64

Expand

√64 * √-1

Take the square root of 64

8√-1

In complex numbers

√-1  = i

So, we have:

8i

Hence, the equivalent expression of square root of -64 is 8i

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A. Angle 4 and angle 6 are a pair of alternate exterior angles

The pair of angles from the given options that are a pair of alternate exterior angles is:

C. ∠2 and ∠8

Alternate exterior angles are pairs of exterior angles that lie alternate to each other along a transversal that cuts across two parallel lines.

Thus, in the image given, we have the following alternate exterior angles:

Therefore, the pair of angles from the given options that are a pair of alternate exterior angles is:

C. ∠2 and ∠8

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Newton's method for optimization takes 1 iteration to find a minimum of the function to a tolerance of  \(10^{-10\).

To apply Newton's method to find the minimum of the function f(x)=23x² - 4x + 3, we need to find its derivative first:

f'(x) = 46x - 4

The Newton iteration formula is given by:

For this particular function, the second derivative is f''(x) = 46, which is constant.

Plugging in the values into the Newton iteration formula, we get:

\(x_{n+1}\\\) = \(x_n\)- (46\(x_n\) - 4)/46

= \(x_n\) - \(x_n\)+ 1/11

= 1/11

This means that the iteration will converge to the minimum of the function in one step with quadratic convergence.

Therefore, the answer is 1 iteration.

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Complete Question:

Newton iteration count:

Given a starting guess of X0 = 1, how many iterations does Newton's method for optimization take to find a minimum of the function f(x)=23x^2 - 4x + 3 to a tolerance of 10-^10? If needed, you may assume quadratic convergence.

Among the given options, an R-squared value of 0.5 is the most satisfactory as it indicates a moderate level of relationship between the variables. So, the correct option is b.

R-squared is a statistical measure that represents the proportion of the variance in the dependent variable that can be explained by the independent variable(s). It ranges from 0 to 1, with 1 indicating a perfect fit and 0 indicating no relationship between the variables.
In this case, an R-squared value of 0.5 means that 50% of the variance in the dependent variable can be explained by the independent variable(s). This is considered a moderate level of explanatory power.

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Answer:

The answer is C. -11

Step-by-step explanation:

The average acceleration is - 1.24 m/s². The result is calculated by using calculator. See the picture in the attachment!

Average acceleration is the rate of change in velocity per unit time. The formula can be expressed as

\(\overline{a} = \frac{v_{2} - v_{1}}{t_{2} - t_{1}}\)

Where

Calculate this average acceleration using calculator!

\(\overline{a} = \frac{-3.7 \: m/s \: - 13.9 \: m/s}{21.4 \: s- 7.2 \: s}\)

See the picture in the attachment!

The average acceleration after rounding is

\(\overline{a} = -1.23943661972 \: m/s \: /s\)

\(\overline{a} = -1.24 \: m/s^{2}\)

Hence, the average acceleration from the data is - 1.24 m/s².

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only Outcome D is a Pareto efficient outcome. In this given scenario, "A and D" are Pareto efficient outcomes.What is Pareto efficiency? Pareto efficiency is a state of allocation of resources in which it is impossible to make any one individual better off without making at least one individual worse off.

What are the given allocations and benefits of individuals? The net benefit for each individual in each allocation is given below: (The two numbers in each of the following brackets indicate the net benefits for individual 1 and individual 2, respectively.) Outcome A: (10, 25) Outcome B: (20, 10) Outcome C: (14, 20)Outcome D: (15, 15) Which of the outcomes are Pareto efficient?

Now, let's see which of the given outcomes are Pareto efficient: Outcome A: If we take Outcome A, then individual 1 gets 10 and individual 2 gets 25 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome B, then individual 1 gets 20 which is greater than 10 as his net benefit, and the net benefit for individual 2 would become 10 which is still greater than 25. Therefore, Outcome A isn't Pareto efficient. Outcome B: If we take Outcome B, then individual 1 gets 20 and individual 2 gets 10 as their net benefits.

But the allocation isn't Pareto efficient because if we take Outcome C, then individual 1 gets 14 which is less than 20 as his net benefit, and the net benefit for individual 2 would become 20 which is greater than 10. Therefore, Outcome B isn't Pareto efficient.Outcome C: If we take Outcome C, then individual 1 gets 14 and individual 2 gets 20 as their net benefits. But the allocation isn't Pareto efficient because if we take Outcome A, then individual 1 gets 10 which is less than 14 as his net benefit, and the net benefit for individual 2 would become 25 which is greater than 20. Therefore, Outcome C isn't Pareto efficient.

Outcome D: If we take Outcome D, then individual 1 gets 15 and individual 2 gets 15 as their net benefits. The allocation is Pareto efficient because there is no other allocation where one individual will be better off without harming the other individual.Therefore, only Outcome D is a Pareto efficient outcome.

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There is a 136.13 probability that 3 won't increase.

Only 0.65% of seeds will grow into robust plants.

There is a 0.35 probability that a seed won't grow into a robust plant.

In this case, n = 12 and r = 3.

11 seeds will sprout if 1 seed doesn't germinate. Raising 0.65 to the power of 11 and 0.35 to the power of 3 will result in the following: 11 seeds develop, and we use the 11th power; 3 seeds do not grow, so we use the power of 3:

So, the response is:

\({}^{12}C_3\) × \({(chance of successful growth) }^{11}\)x \((chance of Unsuccessful growth)^3\)

= \({}^{12}C_3\) × \(0.65^{11}\) × \({0.35}^3\)

= 362880 × 0.008750 × 0.042875

= 136.13

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Answer:

∠2

Step-by-step explanation:

Vertical angles are angles that are opposite to each other. since ∠2 is opposite of ∠5, ∠2 is the answer

Hope this helps :)

Answer:

x = 17

Step-by-step explanation:

the sum of the 3 angles in the triangle = 180° , that is

50 + 75 + 3x + 4 = 180

3x + 129 = 180 ( subtract 129 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17

The circumference of the circle with a radius of 9 inches is approximately 56.52 inches if we use 3.14 to approximate pi.

The circumference of a circle is the distance around the edge of the circle. It can be calculated using the formula C = 2πr, where r is the radius of the circle and π is the mathematical constant pi.

In this problem, we are given the radius of the circle, which is 9 inches. We can substitute this value into the formula C = 2πr and simplify:

C = 2π(9)

C = 18π

Since we are asked to use 3.14 for pi, we can approximate the value of 18π by substituting 3.14 for π:

C ≈ 18 × 3.14

C ≈ 56.52

So, the circumference of the circle with a radius of 9 inches is approximately 56.52 inches if we use 3.14 to approximate pi. However, as I mentioned earlier, pi is an irrational number, and the exact circumference of the circle cannot be expressed as a finite decimal.

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Answer:

3:5

Step-by-step explanation:

Divide both numbers by 2

Keep dividing by 2 until you can't anymore.

12/2=6

20/2=10

6/2=3

10/2=5