How is the quotient of 3,419 and 11 determined using an area model?

Answer:

1. 6%

2. what is the radius of 2

Step-by-step explanation:

Answer:

#1 = Rate = 0.025

#2 = m^2

Step-by-step explanation:

#1

1. starting balance = 200

balance at the end of 4 years = 220.82

2. 200.82 = 200(1+r)^4

220.82

________  = (1 + r)^4

  200

1 + r = (1.1041)^1/4

1 + r = 1.025 - 1

r = 0.025

Rate = 0.025

#2

62.3m⋅m^3=62.3m^4

3.14=62.3m^4

m⋅m=m^2

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Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

The joint relative Frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

The joint relative frequency of students who do not like to run and enjoy swimming, we need to find the intersection of the row and column corresponding to those categories in the two-way frequency table.

Given the following information from the table:

Likes running: 28

Does not like running: 46

Column totals: 74

Enjoys swimming: 62

Enjoys cycling: 90

Row totals: 110

The joint relative frequency, we divide the number of students who do not like running and enjoy swimming by the total number of students:

Joint relative frequency = (Number of students who do not like running and enjoy swimming) / (Total number of students)

From the table, the number of students who do not like running and enjoy swimming is given as 46.

Total number of students is given as 74.

Joint relative frequency = 46 / 74

Calculating this value, we find that the joint relative frequency is approximately 0.6216, which is equivalent to 62.16%.

Therefore, the joint relative frequency of students who do not like to run and enjoy swimming is approximately 62.16%.

In conclusion, the joint relative frequency of students who do not like to run and enjoy swimming, based on the given two-way frequency table, is approximately 62.16%.

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The input x = 1 has a unique output (x) = 6, satisfying the definition of a function. Option C

To find (x) when given f(x) = 6x, we substitute the value of x into the function f(x).

If we have (x) = f(1), we substitute 1 for x in the function:

(x) = f(1) = 6(1) = 6.

So, (x) = 6 when x = 1.

Now, let's determine whether (x) is a function.

A function is a relation where each input (x-value) is associated with exactly one output (y-value). In other words, for every x-value, there should be only one corresponding y-value.

In this case, we have (x) = 6. Since we have a specific value of x (1), and it corresponds to a specific value of (x) (6), we can say that (x) is a function. The input x = 1 has a unique output (x) = 6, satisfying the definition of a function.

Therefore, the correct answer is (c) (x) is a function.

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Answer:

1/3

Step-by-step explanation:

The slope of a perpendicular line is always the negative reciprocal of the slope of the original line.

-1/-3 = 1/3

Given the points:

(x1, y1) = (-12, 1)

(x2, y2) ==> (-8, 6)

To find the slope, use the slope formula below:

The slope of the line is:

If the order of the points is reversed, let's find the slope.

First swap the order of the points:

(x1, y1) ==> (-8, 6)

(x2, y2) ==> (-12, 1)

Therefore, if the order of the points is reversed, the slope will still be the same.

ANSWER:

If the order of the points is reversed, the slope will remain the same.

The output value of (g/f)(x) is 9x/(7x + 28).

The domain of g/f is (-∞, -4) U (-4, ∞)..

In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;

(g/f)(x) = (9/(x + 4)) ÷ 7/x

By rearranging the mathematical expression using the multiplication operation, we have the following:

(g/f)(x) = (9/(x + 4)) × x/7

(g/f)(x) = 9x/(7x + 28)

For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;

7x + 28 ≠ 0

7x ≠ -28

x ≠ -4

Domain = (-∞, -4) U (-4, ∞).

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Original expression

Reduced

The answer would be

The second difference of the given number table is: Option A: -2

The second difference method can be used to determine a quadratic model.  In order for us to calculate the second difference, we will select 3 consecutive y-values, and then subtract the first y-value from the second and the second y-value form the third. Then we will find the difference of these two resulting values. That difference is what we refer to as the second difference.

Thus, Applying the second difference concept to our problem, we have:

First difference:

-4 - (-9) = 5

-1 - (-4) = 3

Thus, second difference is:

3 - 5 = -2

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Answer:

(1, -1, 3)

Explanation:

The third equation says that z is equal to 3. So, we can replace this value on the second equation and solve for y as:

Now, we can replace z by 3 and y by -1 on the first equation, so:

Therefore, the answer as an ordered triple is (x, y, z) = (1, -1, 3)

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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If you are only considering sides that are whole numbers, then you're basically looking for all the possible ways to multiply two numbers to get 48. In other words, we're listing all the ways to factor 48.

That list is

The order for each pairing doesn't matter. Something like 3*16 is the same as 16*3.

If x and y were not positive integers, but instead positive real numbers, then x*y = 48 has infinitely many (x,y) solutions.

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

10.

Step-by-step explanation (the required tall of the tree is AQ):

1) ΔBCP ~ ΔBAQ, it means BC/AB=CP/AQ=BP/BQ;

2) BC/AB=CP/AQ, it means 4/20=2/AQ, then AQ=2*20/4=10 [m].

Answer:

21

Step-by-step explanation:

I am 90% sure but tell me if i'm wrong

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

I think it would 12 and 14

The solution for the inequality in the context of this problem is given as follows:

x < (cb - b²)/a.

The inequality in the context of this problem is given as follows:

-ax/b > c - b.

To obtain the solution, first we must isolate the variable x in this problem.

Applying cross multiplication, we have that:

-ax > cb - b².

Due to the negative symbol, we must exchange the symbol, hence:

x < (cb - b²)/a.

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The slope-intercept form is y = (11/8)x - (3/8).

The slope of a line is defined as the  measure of  steepness of that line.

The general  slope-intercept form is

y=mx+b

where m is the slope of the line and b is a constant.

The given equation is

11x-8y=3

It can be converted to slope-intercept form by rearranging the equation.

y=(11/8) - (3/8)

Hence, y=(11/8) - (3/8) is the slope-intercept form.

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Answer:

-6

Step-by-step explanation:

Answer:

24 square inches

Step-by-step explanation:

Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

The area of a figure is known to be the rate or the number of unit squares that is said to have cover the surface of a closed figure.

Note that the area is often measured in square units such as (cm²) and in the case above, the Based on the diagram or figure given, The  area of the figure is known to be 24 square inches.

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Answer:

9

Step-by-step explanation:

-2a + b

-2 (-7) + -5

14 + -5

9

9514 1404 393

Answer:

  7x +5y = -5

Step-by-step explanation:

You can find the perpendicular line by swapping the x- and y-coefficients, and negating one of them. The new constant can be found by using the given point.

  7x +5y = 7(-5) +5(6) = -5

The perpendicular line through (-5, 6) is ...

  7x +5y = -5

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.

In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.

This ultimately implies that, an exponent is represented by the following mathematical expression;

bⁿ

Where:

By applying the multiplication law of exponents for powers to each of the expressions, we have the following:

4 × n × n × n × n = 4n⁴

4 × n⁴ = 4n⁴

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Answer:

64.6

Step-by-step explanation:

127.6-63=64.6

Due to the difference in their price elasticity of demand, if a per-unit excise tax of the same amount is imposed on goods X and Y, the quantity demanded for good Y will decline more than the quantity demanded for good X.

1. Consider Good X with Price Elasticity of Demand (-0.5):

The demand for good X is inelastic if the price elasticity of demand is less than zero (-0.5).

This suggests that consumers are not particularly responsive to price changes and that changes in price do not considerably affect the quantity demanded.

Excise tax effects on good X:

When good X is subject to excise tax, its price will rise. The quantity demanded won't drastically decrease because the demand is inelastic.

2. Good Y with a (-2) demand price elasticity

Demand for good Y is elastic if price elasticity of demand is -2. This shows that consumers react quickly to price fluctuations and that the amount requested fluctuates considerably as well.

Excise tax effects on good Y:

Good Y's price will rise if the excise tax is applied. The quantity needed will significantly decrease since the demand is elastic.

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Answer: 75%

Step-by-step explanation: