a residential zone requires at least 7,500 square feet per lot. the developer is reserving 25 percent of the land for streets, sidewalks, and a community center. the tract of land for the development consists of 175 acres. how many residential lots are available for development?

Answer:

x = 10

Step-by-step explanation:

First distribute the 2 into the parentheses

2x+20 = 4x

20 = 2x

x = 10

If xn>0 for all nN, and lim (xn)=0, then lim(√(xn))=0

We know that the limit of a sequence is unique. Since lim(xn) = 0, we have that for every ε > 0, there exists an N ∈ ℕ such that for all n ≥ N, we have |xn - 0| < ε, which implies xn < ε. Now, consider the sequence √(xn). Since xn > 0 for all n ∈ ℕ, we can take the square root of both sides of the inequality xn < ε. This gives us:
√(xn) < √(ε).
Since ε > 0 can be arbitrarily small, it's clear that lim(√(xn)) = 0, as for every ε > 0, there exists an N such that for all n ≥ N, we have √(xn) < √(ε).

Given the conditions that xn > 0 for all n ∈ N and lim(xn) = 0, we have shown that lim(√(xn)) = 0.

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A. The average velocity of the marble can be calculated by dividing the change in position (x) by the change in time (t).

Average velocity = (x2 - x1) / (t2 - t1)

Substituting the given values:

Average velocity = (-4.2 cm - 3.4 cm) / (6.1 s - 3.0 s)

                = -7.6 cm / 3.1 s

                = -2.45 cm/s

Therefore, the average velocity of the marble is -2.45 cm/s.

B. The acceleration experienced by the marble can be determined by dividing the change in velocity (Δv) by the change in time (Δt). Since the initial velocity is zero (starting from rest), the change in velocity is equal to the final velocity (v) itself.

Acceleration = Δv / Δt

Substituting the given values:

Acceleration = (v - 0) / (t2 - t1)

            = v / (6.1 s - 3.0 s)

            = v / 3.1 s

Since the given information does not provide the final velocity (v), we cannot calculate the acceleration accurately.

The average velocity of the marble is -2.45 cm/s, indicating that the marble moves in the negative x direction. However, without the final velocity information, we cannot determine the exact acceleration experienced by the marble.

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Answer:

None of the answers provided are equivalent

Step-by-step explanation:

To solve it would be best to simplify each of the expressions you have listed by combining like terms all the x^2 terms have been bolded, the x terms italicized, and the constant terms are underlined

(4x + 1.2) + (2x ^ 2 - 6x + 5) = 2x ^ 2 - 6x + 6.2

(x ^ 2 - 5x + 13) + (x ^ 2 + 3x - 6) = 2x^2 -2x +7

(4x ^ 2 - 6x + 11) + (2x ^ 2 - 4x + 4) = 6x^2 -10x +15

(5x ^ 2 - 8x + 120) + (- 3x ^ 2 + 10x - 13) = 2x^2 + 2x + 107

If A is true, B is false, C is true and D is false, then the truth value of the compound statement (A V B) → [(C ∨ B) ↔~D] is True.

To determine the truth value of the compound statement, follow these steps:

So, the truth value of the compound statement (A V B) → [(C ∨ B) ↔ ~D] when A is true, B is false, C is true, and D is false is True.

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The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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The length of the line segment AB to the nearest tenth as required to be determined is; 19.1cm.

It follows from the task content that it can be inferred that; AB = 2AD.

Since the diameter of the circle is 28cm; it follows that the radius of the circle is; 28/2 = 14cm.

Hence, from trigonometric ratios;

sin ¢ = AD / OA where OA = 14 and ¢ = 86/2 = 43°.

Consequently, AD = 14 sin 43°.

AB = 2 × 14 sin 43°.

AB = 19.1

Consequently, the length of AB is; 19.1.

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Answer:

Holo nomelase ay pa la próxima

Answer:

B. -$0.75

Step-by-step explanation:

that is really very simple.

the value on day 1 (the begin) is $2.50.

the value on day 5 (the end of the week I assume) is $1.75.

so, the value changed by -$0.75 from $2.50 to $1.75.

yes, this is the sum of all little individual changes day by day. but there is no need to do these detailed calculations. at the end it is just

value end - value begin

Answer:

x = 5

Step-by-step explanation:

3x + 6 = 21

3x = 21 - 6

3x/3 = 15/3

x = 5

Answer:

560 $

Step-by-step explanation:

4 shoes is 80

so, we have to multiply

$140

Or

£140

You are American so its the first one

The solution of the given recurrence relation `T(n) = 2T(n/2) + 23n` using all three methods are:`T(n) = Θ(nlog2n)`

Given recursive relation is `T(n) = 2T(n/2) + 23n`.

We have to solve the above recursion using all three methods in any order we choose and label each solution as recursion tree, substitution, or Master Theorem.

Now, let's solve the above recursion using all three methods one by one:

1. Recursion Tree method:

To solve the above relation using recursion tree method, we will create a tree and the value of each level will be the sum of the values of all nodes present in that level or the sum of all previous levels + current level.

The tree will look like:

Therefore, the answer of the given recurrence relation `T(n) = 2T(n/2) + 23n` using the recursion tree method is:

`T(n) = Θ(nlog2n)`

2. Substitution method:

To solve the above recurrence relation using the substitution method, we can assume a solution and prove it by the Mathematical induction method.

Let `T(n) = 2T(n/2) + 23n`

Then, `T(n/2) = 2T(n/4) + 23n/2`

Also, `T(n/4) = 2T(n/8) + 23n/4`

Therefore, `T(n) = 2(2T(n/4) + 23n/2) + 23n`Or, `T(n) = 2²T(n/2²) + 23n(1 + 2)`

In general, we have `T(n) = 2kT(n/2k) + 23n(1 + 2 + ... + 2k-1)`

When `n/2k = 1`Or, `k = log2n`

Therefore, `T(n) = 2log2nT(1) + 23n(1 + 2 + ... + 2log2n-1)`Or, `T(n) = 2log2nT(1) + 23n(2log2n - 1)`

As `T(1) = 1`

Therefore, `T(n) = Θ(nlog2n)`

Hence, the answer of the given recurrence relation `T(n) = 2T(n/2) + 23n` using the substitution method is:

`T(n) = Θ(nlog2n)`

3. Master Theorem method:

To solve the above recurrence relation using the Master theorem, we have to compare the function `nlogba` with the function `f(n)`.

Here, `a = 2`, `b = 2`, and `f(n) = 23n`.

As per the Master theorem:

`If f(n) = Θ(nlogba),

then T(n) = Θ(nlogba log2n)` `

               = Θ(nlog2n)` if

`f(n) = 23n

      = Θ(nlog2n)`

Therefore, the solution of the given recurrence relation `T(n) = 2T(n/2) + 23n` using the Master theorem is:

`T(n) = Θ(nlog2n)`

Hence, the solution of the given recurrence relation `T(n) = 2T(n/2) + 23n` using all three methods are:`T(n) = Θ(nlog2n)`

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Answer:

14

Step-by-step explanation:

PEMDAS:

P: Parentheses

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Step 1:

7 ( 6 - 4 )      Equation

Step 2:

7 ( 2 )     Subtract

Answer:

14

Hope This Helps :)

Answer:

a=28

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

a−6=22

Step 2: Add 6 to both sides.

a−6+6=22+6

a=28

Answer:

Step-by-step explanation:

First of all, remember that \(sin(0)=0\) and \(cos(0)=1\). As you can see, the sine function won't be affect by \(a\), because its value is null.

However, the x-intercept of the cosine function depends on the \(a\) value, because the function is equal to the unit.

On the other hand, the variable \(b\) won't affect any function, because it would be always zero.

Therefore, the sine function won't be affected, but the consine function will.

Answer:

answer would be -10 for x

Answer:

your answer is x= -10

Step-by-step explanation:

i cant put in the image from the calculator but i hope this still helps

if im wrong pls let me know

but if im right may i please be marked braniliest

Answer:

\(x= 6+ \sqrt {6}\)

Step-by-step explanation:

\(-\sqrt {2x-5}+x=5\\-\sqrt {2x-5}=-x+5\\\\\frac {-\sqrt {2x-5}}{-1} = \frac {-x+5}{-1}\\\\\sqrt {2x-5}=x-5\\2x-5=(x-5)^2\\2x-5=x^2-10x+25\\2x-5-(x^2-10x+25)=x^2-10x+25-(x^2-10x+25)\\-x^2+12x-30=0\\\\x=\frac {-12(+/-)\sqrt {12^2-4(-1)(-30)}}{2(-1)}\\\\x=6+\sqrt {6}\)

Answer:

120,640

Step-by-step explanation:

Answer:

the first one ithink

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Answer: It's D

Step-by-step explanation:

Because you have to square root it and look back at the answer, so the number is 19, and look back at the line where is 19? That's your answer.

Answer:

x = -9, 10

Step-by-step explanation:

\(x^2 - x = 90\\\)

Solve this as a quadratic equation, so subtract 90 from both sides:

\(x^2-x-90=0\)

Factoring:

\((x+9)(x-10) = 0\)

This means that:

\(x + 9 = 0\\\\x=-9\\or\\x - 10 = 0\\x = 10\)

x can be -9 or 10.

The scenario described is binomial since the following conditions are met:
- The exam consists of a fixed number of 10 questions
- Each question has only 3 possible answers, making each guess a Bernoulli trial
- The probability of guessing correctly for each question is constant and independent of the other questions

Therefore, X, the number of exam questions a student got correct by guessing, follows a binomial distribution.

The situation described is an example of a binomial experiment or not. Let's analyze the given information:

1. There are a fixed number of trials (10 exam questions).
2. Each trial has two possible outcomes: correct or incorrect answer.
3. The probability of a correct answer is the same for each question (1/3, as there are 3 possible answers).
4. The trials are independent, meaning guessing the answer to one question doesn't affect the others.

Given these conditions, the situation is indeed a binomial experiment. So, X, which denotes the number of exam questions a student got correct by guessing, follows a binomial distribution.

Your answer: X is binomial.

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NONONONONONONONONONONONO

The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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The answer is that there are 2¹⁰ (or 1024) possible outcomes in total.

When a coin is flipped 10 times, each flip has 2 possible outcomes: heads or tails. To find the total number of possible outcomes, you can use the formula for calculating the number of outcomes in an experiment with independent events:

Total outcomes = (Number of outcomes for each event)ⁿ (n=Number of events)

This is because each flip has two possible outcomes (heads or tails), and since there are 10 flips, we need to multiply 2 by itself 10 times (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 1024).  

Total outcomes = 2¹⁰ = 1,024

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An example of a linear function table is y=3x

A linear function is used to relate an independent variable and a dependent variable by introducing a rate of change(function) of which the independent variable is equated to find the dependent variable. Linear functions are those whose graph is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

for example:

y=3x hence is the dependent variable as it depends on the change of x and 3 is the rate of change which is a constant and is determined by the division of the values of y/x hence to make a table of y over x of which y is determined by the rate of change the unrelated variable x, 3.

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Answer:

84in

Step-by-step explanation:

10 times 5 = 50 (top half)

7 times 4 = 28 (bottom half)

3 times 4 = 12 / 2= 6 (triagle)

By Euclidean geometry, the measure of the missing angle, the other acute angle, of the right triangle is equal to 47°.

Right triangles are triangles of which one of its angles is a right angle and the other two angles are acute angles. According to the statement, the measure of an acute angle of the right triangle is equal to 43°.

By Euclidean geometry, the sum of the internal angles in any triangle equals a measure of 180°. Then, the measure of the missing angle is:

90° + α + β = 180°

If we know that α = 43°, then the value of β is:

α + β = 90°

43° + β = 90°

β = 47°

The measure of the missing angle is equal to 47°.

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a) The anomalous result in the table is the Durablast battery in the second trial, which recorded a time taken of 768 seconds.

b) The mean averages for each brand of battery are 955.33, 852 and 908 seconds.

c) the amount of charge stored by each brand of battery is 1098.6 coulombs, 1065 coulombs and 1089.6 coulombs.

d) The results of this experiment can be presented in a table format, showing the current flowing, the mean time taken, and the amount of charge stored for each brand of battery.

It is an unexpected or unusual outcome that does not agree with the expected or accepted outcome. It may be a result of a mistake, an anomaly in the data, or a misinterpretation of the data.

a) The anomalous result in the table is the Durablast battery in the second trial, which recorded a time taken of 768 seconds.

b) The mean averages for each brand of battery are:

Longalast: 955.33 seconds

Durablast: 852 seconds

Morelife: 908 seconds

c) The amount of charge stored by each brand of battery can be calculated by multiplying the current flowing into the toothbrush (amps) by the mean time taken (seconds) for each battery:

Longalast: 1.15 amps x 955.33 seconds = 1098.6 coulombs

Durablast: 1.25 amps x 852 seconds = 1065 coulombs

Morelife: 1.20 amps x 908 seconds = 1089.6 coulombs

d) The results of this experiment can be presented in a table format, showing the current flowing, the mean time taken, and the amount of charge stored for each brand of battery. This would allow the reader to easily compare the performance of each battery, as well as to identify any anomalous results.

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