The bank agrees to give you a loan of $35,000 with 2% simple interest over 8 years. how much will your monthly payments be?

Answer: 60%

Step-by-step explanation:

There are 20 ounces of water in John's water bottle, and 20-8=12 after consumption. Since we want to find the percentages of ounces, we can divide 12 by 20, which can be represented by the fraction 12/20. Simplify, we get 6/10 which is equal to 60%.

Answer:

19 meters

Step-by-step explanation:

209/11 = 19 meters per second

Answer: 19

209 divided by 11 is 19, which means that car moves 19 meters per second.

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The probability that Chauncey Billups misses his first free throw and makes the second is 0.1056. This probability is obtained by multiplying the probability of missing a free throw (0.12) with the probability of making a free throw (0.88). Answer is c) 0.1056.

To calculate the probability, we first determine that the probability of missing a free throw is 1 - 0.88 = 0.12, as Billups makes free throws 88% of the time.The probability that Chauncey Billups misses his first free throw and makes the second can be calculated by multiplying the probabilities of each event.

Given that he makes free throw shots 88% of the time, the probability of missing a free throw is 1 - 0.88 = 0.12.

To find the probability of missing the first shot and making the second, we multiply the probabilities: 0.12 * 0.88 = 0.1056.

Therefore, the correct answer is c) 0.1056.

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(A) Critical numbers: x = 0 and x = -5/12

(B) f(x) is increasing in the intervals (-∞, -5/12) and (0, +∞).

To find the critical numbers of the function \(f(x) = 6x^6 + 3x^5\), we need to find the values of x where the derivative of f(x) is equal to zero or does not exist.

Let's differentiate f(x) to find the derivative:

\(f'(x) = 36x^5 + 15x^4\)

To find the critical numbers, we set the derivative equal to zero and solve for x:

\(36x^5 + 15x^4 = 0\)

Factoring out common terms, we have:

\(x^4(36x + 15) = 0\)

Setting each factor equal to zero:

\(x^4 = 0 -- > x = 036x + 15 = 0 \\36x = -15 \\ x = -15/36 \\ x = -5/12\)

Therefore, the critical numbers of f(x) are x = 0 and x = -5/12.

Now, let's determine where f(x) is increasing. For that, we need to analyze the sign of the derivative f'(x) in different intervals.

Considering the values of x around the critical numbers, we can create the following intervals:

Interval 1: (-∞, -5/12)

Interval 2: (-5/12, 0)

Interval 3: (0, +∞)

Now, we can determine the sign of f'(x) within each interval:

Interval 1: Choose x = -1. Since \((-1)^4 > 0\) and (36(-1) + 15) < 0, we have \(x^4(36x + 15) > 0\). Thus, f'(x) > 0 in this interval, and f(x) is increasing.

Interval 2: Choose x = -1/10. Since \((-1/10)^4 > 0\) and (36(-1/10) + 15) > 0, we have \(x^4(36x + 15) < 0.\) Therefore, f'(x) < 0 in this interval, and f(x) is decreasing.

Interval 3: Choose x = 1. Since \(1^4 > 0\) and (36(1) + 15) > 0, we have \(x^4(36x + 15) > 0.\) Hence, f'(x) > 0 in this interval, and f(x) is increasing.

In summary, f(x) is increasing in the intervals (-∞, -5/12) and (0, +∞), and it is decreasing in the interval (-5/12, 0).

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Answer:

Graph is attached

Step-by-step explanation:

The equation of the line is 3x - 4y = 12

If the point(-4, -6) is to lie on this line then the values x = -4 and y = -6 must satisfy this equation

Plug in these values on the left side
3(-4) - 4(-6) = -12 - (-24) = -12 + 24 = 12

So indeed this point satisfies this equation and therefore it must lie on this line

The statement is True. Mean normalization scales data to have a mean of 0, which allows the gradient descent algorithm to more quickly identify the optimum point.

Mean normalization is a feature scaling technique used to speed up the learning process of gradient descent algorithms. It works by mapping the values of a dataset to a range of [-1, 1], or [0, 1], by subtracting the mean from each data point and dividing by the standard deviation. This scaling process helps to reduce the impact of the outliers and normalize the data, allowing the gradient descent algorithm to more quickly converge on the optimal solution. This results in faster and more accurate models.

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Answer:

This question cannot be solved.

Step-by-step explanation:

because they have different

The cardinality of a set refers to the number of elements in the set. If the set X has cardinality 16 and the set Y has cardinality 24, then the number of elements in set X is 16 and the number of elements in set Y is 2.

If their intersection has cardinality 21, then the number of elements that both sets have in common is 21.To determine the number of elements contained in the union of X and Y, we need to subtract the number of elements in their intersection from the sum of the cardinalities of X and Y. That is,

|X U Y| = |X| + |Y| - |X ∩ Y| = 16 + 24 - 21 = 19

Therefore, the union of X and Y contains 19 elements.

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The fact that f is concave up on (−∞,0) and (0,∞) does not guarantee that f has a local maximum at x.

A continuous function f is said to be concave up on an interval if its graph is always curved upward on that interval.

Let's assume that f has a local maximum at x. This means that there exists an open interval containing x such that f(x) is the highest value within that interval.
Since f is concave up on (−∞,0) and (0,∞), we can conclude that the graph of f is curved upward on these intervals. This means that the function is increasing on these intervals, but it does not necessarily mean that f has a local maximum at x.

To determine whether f has a local maximum at x, we need to consider the behavior of f in a small neighborhood around x. If the function is increasing on both sides of x, then x cannot be a local maximum. However, if the function is decreasing on one side of x and increasing on the other side, then x can be a local maximum.

The behavior of the function in a neighborhood around x determines whether x is a local maximum or not.

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Complete question: Suppose a continuous function $f$ is concave up on $(-\infty, 0)$ and $(0, \infty) .$ Assume $f$ has a local maximum at $x=0 .$ What, if anything, do you know about $f^{\prime}(0) ?$ Explain with an illustration.

Answer: Read the step by step explanation

Step-by-step explanation:

Since sin A = , we can use the Pythagorean identity to find cos A:

cos A = √(1 - sin²A) = √(1 - ( )²) = √(1 - ) = √()

Since A is in Quadrant I, both sin A and cos A are positive. Therefore, we can use the definition of secant to find sec A:

sec A = 1/cos A = 1/√() = √()/

To simplify the expression, we can rationalize the denominator by multiplying both the numerator and denominator by √():

sec A = (√()/)(√()/√()) = √()/ =

Therefore, the exact secant of A in simplest radical form using a rational denominator is .

The volume of the balloon before the addition of the extra gas was 7.01 liters.

We will use ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant and T is the temperature.

Given data:

Initial number of moles of helium in the balloon (before addition) = 4.51 moles

Additional number of moles of helium added = 1.25 moles

The total number of moles of helium in the balloon (after addition) is:

= 4.51 moles + 1.25 moles

= 5.76 moles

Volume of the balloon after addition = 8.97 liters

To find the volume of the balloon before the addition, we can rearrange the ideal gas law equation to solve for V:

V = (nRT)/P

The volume before the addition will be found using: V_initial = (n_initial * V_final) / n_final

V_initial = (4.51 * 8.97) / 5.76

V_initial = 7.02 liters.

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To find the work done in pumping the entire contents of the fuel tank into the tractor, we need to calculate the potential energy difference between the initial position of the gasoline in the truck's tank and its final position in the tractor's tank.

Given:

- Diameter of the cylindrical gasoline tank: 4 feet

- Length of the cylindrical gasoline tank: 5 feet

- Opening on the tractor tank is 5 feet above the top of the tank in the truck

First, let's calculate the volume of the cylindrical gasoline tank using the formula for the volume of a cylinder:

Volume = π * (radius^2) * height

The radius of the tank is half the diameter, so the radius is 4 feet / 2 = 2 feet.

Volume = π * (2^2) * 5 = 20π cubic feet

Since the entire contents of the fuel tank need to be pumped, the volume of gasoline to be pumped is 20π cubic feet.

To calculate the work done in pumping the gasoline, we need to find the vertical height through which the gasoline is lifted. This height is the sum of the height of the tank and the distance between the top of the tank and the opening on the tractor tank.

Height = 5 feet + 5 feet = 10 feet

The work done in pumping the gasoline can be calculated using the formula:

Work = Force × Distance

In this case, the force is the weight of the gasoline, and the distance is the height through which it is lifted. To calculate the weight of the gasoline, we need to know the density of gasoline. The density of gasoline can vary, but an average value is around 6.3 pounds per gallon.

Let's convert the volume of gasoline from cubic feet to gallons:

1 cubic foot = 7.48052 gallons (approximately)

Volume in gallons = 20π * 7.48052 ≈ 149.61π gallons

Weight of gasoline = Volume in gallons * Density of gasoline

Assuming the density of gasoline as 6.3 pounds per gallon:

Weight of gasoline = 149.61π * 6.3 ≈ 940.06π pounds

Finally, we can calculate the work done:

Work = Weight of gasoline * Height

Work = 940.06π * 10 ≈ 9400.6π foot-pounds

Therefore, the work done in pumping the entire contents of the fuel tank into the tractor is approximately 9400.6π foot-pounds.

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Answer:

51

Step-by-step explanation:

they are congruent so they are equal to eachotjer

The congruent triangles is solved and the triangles are congruent by AAS postulate

Given data ,

Let the two triangles be represented as ΔRQT and ΔTQS

And , the side TQ is the common side of both the triangles

Now , the measure of ∠TQR ≅ measure of ∠TQS ( given )

And , the measure of ∠TRQ ≅ measure of ∠TSQ ( given )

So , Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Hence , the triangles are congruent by ASA postulate

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For the given scenario: the Probability of making both shots are A. 0.64 and B. 0.72

a) If a player makes 80% of his foul shots, the probability of making a single foul shot is 0.8. Since the two shots are considered independent events, the probability of making both shots is the product of the individual probabilities.

Therefore, the probability of making both shots is 0.8 * 0.8 = 0.64.

To calculate the probability of making exactly one shot, we need to consider two scenarios: making the first shot and missing the second, or missing the first shot and making the second. Each scenario has a probability of 0.8 * 0.2 = 0.16.

Therefore, the probability of making exactly one shot is 0.16 + 0.16 = 0.32.

Similarly, the probability of missing both shots is 0.2 * 0.2 = 0.04.

b) In this case, the outcome of the second shot depends on the outcome of the first shot. If the player makes the first shot (with a probability of 0.8), the probability of making the second shot is 0.9.

Therefore, the probability of making both shots is 0.8 * 0.9 = 0.72.

If the player misses the first shot (with a probability of 0.2), the probability of making the second shot is 0.7.

Therefore, the probability of making exactly one shot is 0.2 * 0.7 = 0.14.

Since there are only two possible outcomes (making both shots or making exactly one shot), the probability of neither shot being made is 1 - (0.72 + 0.14) = 0.14.

Therefore, for the given scenario:

a) Probability of making both shots: 0.64

  Probability of making exactly one shot: 0.32

  Probability of missing both shots: 0.04

b) Probability of making both shots: 0.72

  Probability of making exactly one shot: 0.14

  Probability of missing both shots: 0.14

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Answer:

a= 32

Step-by-step explanation:

Since "a" is a part of a supplementary angle (An angle that adds up to 180º)

What you would need to do is add 58º and 90º (90º because the right angle = 90)

so 58+90 = 148

Then you would subtract 148 from the total of the angle (Which is 180)

so 180 - 148 = 32, And that shows that a = 32

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Considering that y is between x and z, we have that:

We consider that y is between x and z, hence the length of the segment is given by:

xz = xy + yz

The separate lengths are given as follows:

Hence:

4k + 38 = 3k - 2 + 7k + 4.

4k + 38 = 10k + 2

6k = 36

k = 6.

Hence the length of yz is given by:

yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.

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Answer:

70.8%

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please give brainliest if this helped:)

Answer:

-7/4

Step-by-step explanation:

(-1,2) (3,-5)

x1 y1 x2 y2

-5-2=-7

3-(-1)=4

-7/4

Answer: The pancake map also has smaller distance errors than any other 2D flat map. For instance, its layout means distances cannot be more or less than 22.2 percent of what they are in reality, Gott said. In comparison, the Mercator and Winkel Tripel projections have remarkably high distance errors near the poles and at the left and right edges of the map.

Step-by-step explanation:

A better map is one that has less errors and can locate areas more accurately. The paragraph above shows that the Pancake map has less errors and is generally accurate for areas within a 22.2% band.

This means that it is better than 2D maps made in the past especially the Mercator and Winkel Tripel projections which have some very significant distance errors especially in relation to the poles and the edges of the map.

a.)The probability of getting a sum which is a multiple of 3 = 1/3

b.)The probability of getting a sum which is a multiple of 4 = 1/4

To calculate the probability of the given event, the formula that should be used is given as follows;

Probability = possible event/sample space.

For a.)

sample space = 36

possible event = 12

probability = 12/36 = 1/3

For b.)

sample space = 36

possible event = 9

probability = 9/36 = 1/4

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Answer:

Step-by-step explanation:

The linear equation that is also a proportional relationship is the second option:

y = (-1/7)x

A linear relation is of the general form:

y = ax + b

Where a is the slope and b is the y-intercept.

And a proportional relation is a linear relation such that the y-intercept is zero, so we will have:

y = ax

Here the linear relations in the options are:

y = (1/7)x - 2

y = -(1/7)x

y = -7x + 3

y = -7

The only option that shows a proportional relatiopn is the second one, where we have a slope and no y-intercept.

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1. A softball player can have six (6) possible outcomes

2. Six (6) combinations can be made.

Since the player bats six times, it means that there is possibility of having six outs, or six on base, or six homerun or even a mixture of the three outcomes in six times. The constant touch is six times

Since the sandwiches are just three types and can be ordered with either white bread or multi-grain bread, it means that there is possibility of having two different pairs each making six possible combinations of the available toppings.

Therefore, there will be six possible outcomes and six possible combinations of the sandwiches.

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The complete question goes thus:

1. A softball player bats six times in a game. Each at-bat results in an out, getting on base or hitting a homerun. How many possible outcomes can the player have?

2. A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each s andwich can be ordered with white bread or multi-grain bread. Customers can add any combination of the six available toppings. How many combinations can be made?

Answer:

D. 54​

Step-by-step explanation:

Right angle = 90°

3/5 of 90°

3/5 × 90°

270 ÷ 5 = 54°

The probability of a randomly selected American Airlines flight not arriving on time is 0.197 or 19.7%.

If 80.3% of American Airlines flights arrive on time, then the probability of a randomly selected American Airlines flight arriving on time is 0.803.

To find the probability of a randomly selected American Airlines flight not arriving on time, we can subtract this probability from 1 since the sum of all possible outcomes must equal 1.

Probability of not arriving on time = 1 - Probability of arriving on time

Probability of not arriving on time = 1 - 0.803

Probability of not arriving on time = 0.197

Therefore, the probability of randomly selecting an American Airlines flight that does not arrive on time is 0.197 or 19.7%.

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Answer:

Answer is 3.306

Step-by-step explanation:

4/1.21 becasue its a square it is 4 divided by 1.21

The solution accurate to equation within \(10^{-2}\) for \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) lies in [0,2].  

Given the equation  \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) and range is  \(10^{-2}\).

We are required to find the interval in which the solution lies.

The attached table shows the iterations. At each step, the interval containing the root is bisected and the function value at the mid point of the interval is found. The sign of its relative to the signs of the function values at the ends of the interval tell which half interval contains the root. The process is repeated until the interval width is less than \(10^{-2}\).

Interval:[0,2], signs [+,-],mid point:1, sign at midpoint +.

[1,2]                                                       3/2

[1,3/2]                                                    5/4

The rest is in the attachment. The listed table values are the successive interval mid points.

The final midpoint is 181/128=1.411406.

This solution is within 0.0002 of the actual root.      

Hence the solution accurate to equation within \(10^{-2}\) for \(x^{4}-2x^{3} -4x^{2} +4x+4=0\) lies in [0,2].

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