You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answer:

The only even prime number is 2.

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To find the volume of the solid between the sphere ρ = cos(φ) and the hemisphere ρ = 3, with z > 0, we can set up a spherical coordinate integral.

The integral to calculate the volume is given by:

V = ∭ ρ² sin(φ) dρ dφ dθ

In this case, the limits of integration are as follows:

ρ: from the lower bound ρ = cos(φ) to the upper bound ρ = 3

φ: from 0 to π/2 (since we are considering the hemisphere ρ = 3 with z > 0)

θ: from 0 to 2π (full range of azimuthal angle)

Substituting the limits and evaluating the integral, we have:

V = ∫[0 to 2π] ∫[0 to π/2] ∫[cos(φ) to 3] (ρ² sin(φ)) dρ dφ dθ

Calculating this integral will give us the volume of the given solid.

Please note that the provided options (A, B, C, D) do not represent the full calculation, and the correct answer cannot be determined without performing the integration.

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The angular velocity of tip is 5.42/√L rad/s and the speed of the tip of rod is 5.42√L m/s.

In the given question, a long, thin rod of mass M and length L is standing straight up on a table. Its lower end rotates on a frictionless pivot. A very slight push causes the rod to fall over.

Applying conservation of rotational energy to this situation.

At the start, there is only Potential Energy(PE) and no Kinetic Energy(KE) just before impact, all the PE has converted to KE.

In the starting, the center of mass is half way up, so;

The PE of this system is 1/2 MgL;

where L is the length,

The KE at the end is 1/2 Iw^2

where I is the moment of inertia and w is the angular velocity.

I for a stick pivoted at an end I = 1/3 mL^2, so we have

1/2×m×g×L = 1/2×1/3×m×L^2×w^2

1/2×g = 1/6×lw^2

w = √[3g/L]

A) We have to find the angular velocity.

As we know g=9.8 m/sec^2

w = \(\sqrt{3\times9.8/L}\)

w = √(29.4/L)

w = 5.42√L

The angular velocity of tip is 5.42/√L rad/s.

B) We have to find the speed of the tip of the rod.

The speed of the Tip , v = l×w

v = L × 5.42√L

v = 5.42 × √L

The speed of the tip of rod is 5.42√L m/s.

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The ratio of the vertical change to the horizontal change between any two points on a line is called the slope of the line.

A ratio is a relationship between two or more numbers that shows how much bigger or smaller one value is compared to another. In mathematics, ratios are often used to compare quantities or amounts, such as the amount of money spent on two different items or the distance traveled over a certain period of time. The ratio of the vertical change to the horizontal change to any two points on a line is called the slope of the line.

This is a fundamental concept in geometry and algebra, and it is used to describe the steepness of a line. The slope is often denoted by the letter m, and it is calculated as follows:m = (y₂ - y₁) / (x₂ - x₁)Where (x₁, y₁) and (x₂, y₂) are two points on the line. The slope is positive if the line is increasing from left to right, negative if the line is decreasing from left to right, and zero if the line is horizontal.

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Answer:

y = 4x - 3

Step-by-step explanation:

I'm not very sure if this is correct but I used the slope and the y intercept to create a linear equation in slope intercept form.

Answer:

y= 7/2x -3

Step-by-step explanation:

line goes the graph at -3

so b = -3

formula is y = mx + b

ponts on the line are

(2,4

and

(0, -3)

formula

y2-y1/x2-x1

to get the X value or slope

-7/-2 or 7/2

so formula is

y = 7/2x -3

Answer:

for math problems you right out how you solved the problem but for other problems you can backspace the step by step bit on brainly

Answer:

to do step by step explanation, you have to prove your answer with steps.

Normal distribution has a mean of 196 and a standard deviation of 18.5. using the Empirical Rule 68% of the distribution would we expect to fall between 177.5 and 214.5.

The correct answer is B. About 68%.

The Empirical Rule, also known as the 68-95-99.7 Rule, states that for a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% of the data falls within two standard deviations of the mean
- About 99.7% of the data falls within three standard deviations of the mean

In this case, the mean is 196 and the standard deviation is 18.5. One standard deviation from the mean would be between 177.5 (196 - 18.5) and 214.5 (196 + 18.5). Therefore, we would expect about 68% of the distribution to fall between 177.5 and 214.5, according to the Empirical Rule.
Answer: B. About 68%

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The fraction that is equal to 0.84 repeating is 8/9 in simplest form.

If the top and bottom have no common components other than 1, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and still remain full numbers. You may sometimes hear the phrase "lowest words" when referring to the simplest form.

0.84 repeating can be represented as a fraction in simplest form by using the following method:

Let x = 0.84 repeating,

Then 10x = 8.4 repeating.

Subtracting the two equations,

we have 9x = 8.

Dividing both sides by 9,

we have x = 8/9.

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Answer: -2.55

Explanation: First add 10.2, and then the equation becomes -4x = 10.2.

Then, you just divide by -4 from both sides of the equation, and you get x = -2.55. :]

Answer:

21 - 4x

Step-by-step explanation:

Multiply 10 and 2 to get 20.

41 - 4x - 20

Subtract 20 from 41 to get 21.

21 - 4x

Answer:

Yes any number can be substituted for h

Step-by-step explanation:

The term 'h' is an independent variable any number can be substituted for h, so long as the number represents the hours worked

So if she walks pets for 8 hours

Her pay is 4*8= $32

Answer:

b

Step-by-step explanation:

The statement describes the slope of the line of best fit for the data is the temperature decreases by about 1.2 degrees Fahrenheit for each

1-degree increase north in latitude.

A line of best fit is a straight line that is used to model the relationship between two variables in a set of data.

The line is drawn so that it comes as close as possible to all the data points in the set, and is also known as the trend line or regression line.

We have,

To determine the slope of the line of best fit for the given data, we need to calculate the correlation coefficient between the latitude and the high temperature.

If the correlation coefficient is negative, it means that the temperature decreases as latitude increases, and the slope will also be negative.

If the correlation coefficient is positive, it means that the temperature increases as latitude increases, and the slope will also be positive.

Using a spreadsheet or calculator, we can find that the correlation coefficient between latitude and high temperature is approximately -0.89, which indicates a strong negative correlation.

Therefore, the temperature decreases as latitude increases.

To find the slope of the line of best fit, we can use the formula:

slope = correlation coefficient * (standard deviation of y / standard deviation of x)

where x represents latitude and y represents high temperature.

Using the given data, we can calculate the standard deviation of latitude as approximately 5.22 degrees and the standard deviation of high temperature as approximately 7.05 degrees Fahrenheit.

Substituting these values into the formula, we get:

slope = -0.89 x (7.05 / 5.22) = -1.2

Therefore,

The temperature decreases by about 1.2 degrees Fahrenheit for each

1-degree increase north in latitude.

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9514 1404 393

Answer:

  5.87

Step-by-step explanation:

The tangent relation tells you ...

  Tan = Opposite/Adjacent

  tan(50°) = 7/BC

  BC = 7/tan(50°)

  BC ≈ 5.87

Answer:

91. The probability that Caroline will be ready before Andrew is 0.25 (Option B). Since the service times are exponentially distributed with a mean 15 minutes, the remaining service time for Andrew when Caroline arrives is also exponentially distributed with the mean 15 minutes. The service time for Caroline is also exponentially distributed with mean 15 minutes. The probability that Caroline’s service time is less than Andrew’s remaining service time is given by the formula P(X < Y) = 1 / (1 + λY / λX), where λX and λY are the rates of the exponential distributions for X and Y respectively. Since both service times have the same rate (λ = 1/15), the formula simplifies to P(X < Y) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Andrew is 0.25.

92. The probability that Caroline will be ready before Bob is 0.35 (Option A). Since Bob arrived 10 minutes after Andrew, his remaining service time when Caroline arrives is exponentially distributed with mean 15 minutes. Using the same formula as above, we get P(X < Y) = 1 / (1 + λY / λX) = 1 / (1 + 1) = 0.5. Therefore, the probability that Caroline will be ready before Bob is 0.35.

Answer:

the answer is

Step-by-step explanation:

There are more students in biology than students in geometry.

The following statements does not support the given venn diagram:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

What are Venn diagrams?

The components of a set or group are schematically represented by a Venn diagram. It is a diagram that depicts every conceivable logical connection between a finite collection of sets or groups. It is also known as set diagram.

In a Venn diagram, sets of various elements are represented by many overlapping shapes (often circles). It seeks to give a pictorial representation of the components, emphasizing their similarities and differences.

Solution:

                                   17₊ 22 ₊8 = 47

The result of the addition operation is not equal to the number of        students, hence it does not support to the statement.

                                    17 ₊ 22 = 39

The result of the addition operation is equal to the number of        students, hence it supports the statement.

                                     17 ₊ 8 = 25 and 8 ₊ 22 = 30

                                            where, 25 < 30

Here, we can observe that students are less in biology and more in geometry, hence the result does not support the statement.

                                     22 ₊ 8 = 30

                                       30 > 17

Here, we can observe that students are more in geometry than students taking only biology, hence the result supports the statement.

So the following statements does not support the venn diagram given:

There are 55 students taking geometry and biology.

There are more students in biology than students in geometry.

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Answer:

apoco la propiedad asociativa en los siguiente ejercicio 25x11x18=

The algebraic terms of the addition expression y + 6x are given as follows:

The expression for this problem is defined as follows:

y + 6x.

The expression is an addition expression, hence the algebraic terms of the addition expression y + 6x are given as follows:

(which are the two terms of the addition).

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Answer:

20???

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Using the inverse operation of division which is multiplication I can do 37×1/5 to get 7.4 or 7 2/5.

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Answer:

C 185

Step-by-step explanation:

Well you need 5 1/5th to make on whole, so all we need to do is 5×37 is 185

Answer:

3/4 = 0.75

- 1 - 2 - 3 - 4

3/4 so its 321 colored

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ans:percentage increased by 20

Gross profit/Cost of sales=20percent

Gross profit=20percent x cost of sales

Sales=120percent x cost of sales

Sales=120x40

        =$48

48-40=$8

8/40x100percent=20percent

Answer: Decrease? not 100% sure

Step-by-step explanation:

(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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Answer:

300cl

Step-by-step explanation:

5 : 3

? : 180

Divide 180 by 3 to find out how much more orange squash has been used.

180 / 3 = 60

Multiply 5 by 60.

5 x 60 = 300 (5 x 6 x 10)

300 : 180

The two numbers are 3 and 11 respectively

From the information given, we have that

The first number is x

The second number is y

Also,

2x - y = -5

x + y = 14

Make 'x' the subject from equation 2

x = 14 - y

Make 'x' the subject

2(14-y) - y = -5

28 - 2y - y= -5

collect like terms

-3y = -33

y = 11

Substitute the values

x = 3

Hence, the values are 3 and 11

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Answer

Explanation:

Volume of a cylinder is expressed as;

If the radius is doubled and the height is unchanged, then;

r2 = 2r

h2 = h

Get the volume of the new cylinder

Answer:

y-4=-7(x-3) and y=-3/8x-8

Step-by-step explanation:

Point slope form: y-y1=m(x-x1)

the slope is already -7.

We can the just plug in the values: y-4=-7(x-3)

For the 2nd problem we can plug in values as well: -2=3/8(16)+b.

-2=6+b. the y intercept is -8. The final form is y=-3/8x-8

Step-by-step explanation:

A

3(6+15)

=3(21)

=63

B

5[15-(6+1)]

=5(8)

=40

B

⅓(15)

=5

C

⅓(6+15)

=⅓(21)

=7

E

15/6

=2/1/2 or 2.5

W

2(6)(15-3)

=2(7)

=36

L

4(⅓+⅓+⅓)

=4(1)

=4

L

6/15 - 15/6

=36/90 - 225/90

= -189/90

= -21/10

Answer:

minimum

Step-by-step explanation:

Answer:

The answer is

Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:

STATEMENTS | REASONS

(1) BC = CD | Given

m(2) AC = AC | Reflexive Property

(3) triangle ACD = triangle ACB | SAS Congruence

(4) AD = AB | CPCTC

when  CPCTC means Congruent Parts of Congruent Triangles are Congruent.

Therefore, the distance from first base to home plate, and from home plate to third plate are equal.

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149

4.0

(91 votes)

Answer

3.0/5

Step-by-step explanation:

Answer:

The answer is

Converting this into a geometry problem requires us to name the points. Let give the home plate a symbol A, first base will be B, second base will be C, and the third base will be D. Now, we can present a geometrical proof:

STATEMENTS | REASONS

(1) BC = CD | Given

m(2) AC = AC | Reflexive Property

(3) triangle ACD = triangle ACB | SAS Congruence

(4) AD = AB | CPCTC

when  CPCTC means Congruent Parts of Congruent Triangles are Congruent.

Therefore, the distance from first base to home plate, and from home plate to third plate are equal.Step-by-step explanation: