50 P0!NTS!
Favorite hobby/activity?
mines dirt biking

Answer:

Step-by-step explanation:

(5x - 2)° = (4x + 5)°

5x - 2 = 4x + 5

x = 7

The set T consists of the following elements: \({(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)}.\)

Let T be the set of pairs of natural numbers such that the sum of the numbers in each pair is at most 4: \(T = {(x, y) E NXN: 1 < = x, y < = 3}.\)

The set T is an example of a finite set.

A finite set refers to a set that contains a fixed number of elements. It can be a null set or an empty set.

A finite set has no infinity of elements.

The set T contains nine elements and each of the elements is a pair of natural numbers whose sum is at most four.

The set T can be expressed as \(T = {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)}.\)

Therefore, the set T consists of the following elements:

\({(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)}.\)

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answer:

1.25 %

explanation:

25 - 20 = 5 (5 plants didn't produce)

25 ÷ 100 × 5 = 1.25 %

Answer:

2 years and 13 days

Step-by-step explanation:

Kevin deposits $1000 at 9% annual interest, compounded quarterly. How long will it take the account to earn $1000 in interest? Round to the nearest year. 11+0)46 = 21 7.79 -t 2 years 13 MOVI2.

Answer:

58 degrees

Step-by-step explanation:

The answer is 58 degrees.

180 degrees in a triangle, subtract the angles of 65 and 57, you get 58 degrees.

180 - 57 -65 = 58

The Binomial probability of 20 or more adults sleepwalking is 0.8651

The Binomial probability of an experiment or event can be calculated using the relationship:

The probability of having 20 or more adults can be defined as :

Using a binomial probability calculator to save time and avoid computational mistakes :

P(X ≥ 20) = 0.8651

Therefore, the probability of having 20 or more adults sleepwalking is 0.8651.

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Answer:

About  1.01$ - 1.02$

Step-by-step explanation:

Answer:

$1.02

Step-by-step explanation:

16 divided by 15.75 is $1.02 (rounded)

We need to find the percentage of prates own a pet crab

There are 20 prates

4 of them own pet

Then we need the percent of 4 out of 20

We will divide 4 by 20 and multiply the answer by 100%

We will simplify it

The percentage of prates on the ship own a pet is 20%

Answer:

the E is the same as the circles

Step-by-step explanation:

The standard deviation of the sampling distribution of sample means, based on samples of the amounts of weight lost by 72 people on this diet, is approximately 0.695 pounds.

To calculate the standard deviation of the sampling distribution of sample means, we need to use the formula for the standard deviation of a sample mean. This formula states that the standard deviation of the sampling distribution (σ) is equal to the standard deviation of the population (σ) divided by the square root of the sample size (n).

Given that the population standard deviation (σ) is 5.9 pounds and the sample size (n) is 72, we can plug these values into the formula:

Standard Deviation of the Sampling Distribution (σ) = σ / √n

σ = 5.9 pounds

n = 72

Substituting these values, we get:

Standard Deviation of the Sampling Distribution (σ) = 5.9 / √72

To find the standard deviation of the sampling distribution, we need to evaluate the square root of 72. Using a calculator or mathematical software, we find that √72 is approximately 8.49.

Now, let's calculate the standard deviation of the sampling distribution:

Standard Deviation of the Sampling Distribution (σ) = 5.9 / 8.49 ≈ 0.695 pounds (rounded to two decimal places)

Therefore, the standard deviation of the sampling distribution of sample means, based on samples of the amounts of weight lost by 72 people on this diet, is approximately 0.695 pounds.

This value represents the average amount of variation or dispersion in the means of different samples taken from the population. It indicates how much the sample means are likely to deviate from the population mean.

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The number of additional gifts Jeff can buy with the remaining cost is 1.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given,

Total cost = $15 + $20 = $35

Total spent = $50

Remaining = $50 - $35 = $15

Since one gift cost $10

Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.

Hence "With the money still available, Jeff can purchase 1 more present".

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Answer:

35

Step-by-step explanation:

6 pies = 21 cups of apples

1 pie =  3.5 cups of apples

10 pies = 35 cups of apples

Answer:

4/13

Step-by-step explanation:

Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13

Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

To determine the time Edna should leave, we need to subtract the travel time from the desired arrival time.

If Edna needs to be at Jake's party at 2:30 PM and it takes her 23 minutes to drive there, she should leave 23 minutes before 2:30 PM.

To calculate the departure time, we subtract 23 minutes from 2:30 PM:

2:30 PM - 23 minutes = 2:07 PM

Therefore, Edna should leave at 2:07 PM in order to arrive at Jake's party by 2:30 PM

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Answer:

Uh where is the question

I don't see it I'm sorry.

As we can see, the derivative of F(x) does indeed match the original function f(x) = 2x^5 sinh(x). Therefore, our antiderivative is correct.

To find the most general antiderivative of the function f(x) = 2x^5 sinh(x), we'll integrate term by term.

The antiderivative of 2x^5 with respect to x is (2/6)x^6 = (1/3)x^6.

Now, let's find the antiderivative of sinh(x). Recall that the derivative of sinh(x) is cosh(x), and the integral of cosh(x) is sinh(x).

Therefore, the antiderivative of sinh(x) with respect to x is sinh(x).

Combining both results, the most general antiderivative F(x) of f(x) = 2x^5 sinh(x) is:

F(x) = (1/3)x^6 sinh(x) + C,

where C is the constant of integration.

To verify our result, let's differentiate F(x) and see if we obtain the original function f(x):

F'(x) = d/dx[(1/3)x^6 sinh(x) + C]

= (1/3)(6x^5 sinh(x) + x^6 cosh(x))

= 2x^5 sinh(x) + (1/3)x^6 cosh(x).

As we can see, the derivative of F(x) does indeed match the original function f(x) = 2x^5 sinh(x). Therefore, our antiderivative is correct.

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5. An action or process of solving a problem

Thats all I can answer for u :D

The radius of the table top, rounded to 1 dp is 5.6 cm

From the question,

We are to determine the radius of the table top

First, we will determine the volume of the cylindrical wooden table

From the given information

Density = 0.42 g/cm³

Mass = 0.25 kg = 250 g

Using the formula

\(Volume = \frac{Mass}{Density}\)

∴ \(Volume = \frac{250}{0.42}\)

Volume = 595.238 cm³

Now, for the radius of the table top

Using the formula for volume of a cylinder

\(V = \pi r^{2}h\)

Where V is the volume

r is the radius

and h is the height or depth

From the given information

h = 6cm

Putting the parameters into the formula

\(595.238 = \pi r^{2} \times 6\)

∴ \(r^{2} = \frac{595.238}{6\pi }\)

\(r^{2} =31.57835667\)

\(r =\sqrt{31.57835667}\)

r = 5.6 cm

Hence, the radius of the table top, rounded to 1 dp is 5.6 cm

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The hight above the first floor to second floor is 15 ft , for this we have Trigonometry angles.

Angles determined by the ratios of the trigonometric functions are known as trigonometric angles.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths.

Given h = 60 ft, we have to find p

Sin 15° = p/h

0.25 = p/60

p = 15 ft

So, the hight above the first floor to second floor is 15 ft.

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Answer:

$9.77

Step-by-step explanation:

I hope this helps you out!

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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Answer:

the second one

Step-by-step explanation:

y = 2/3 (x +6)-5

Answer:

B

Step-by-step explanation:

Answer:

x∈(-∞,3]

Step-by-step explanation:

2x-6<=5*3-5x

2x-6<=15-5x

+5x        +5x

7x-6<=15

+6       +6

7x<=21

:7     :7

x<=3

x∈(-∞,3]

To determine the monthly payment on a 5-year car loan with a monthly percentage rate of 0.625%, we need to calculate the present amount borrowed (Pn) and then use the given formula to solve for the monthly payment (PMT).

Given:

Original cost of the car (Pn) = $21,000

Down payment = $1,000

Monthly interest rate (i) = 0.625% = 0.00625

Number of monthly pay periods (n) = 5 years * 12 months/year = 60 months

First, calculate the present amount borrowed (Pn):

Pn = Original cost - Down payment

Pn = $21,000 - $1,000

Pn = $20,000

Now, use the formula to calculate the monthly payment (PMT):

PMT = Pn * ((1 - (1 + i)^(-n)) / i)

PMT = $20,000 * ((1 - (1 + 0.00625)^(-60)) / 0.00625)

Calculating this expression using a calculator or spreadsheet, the monthly payment (PMT) is approximately $377.42 (rounded to the nearest cent).

Therefore, the monthly payment on the 5-year car loan is approximately $377.42.

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Answer:

16.3333333333

Step-by-step explanation:

happy to help ya :)

The price of the call option should be approximately $7.03.

To calculate the price of the call option using the Black-Scholes model, we need the following inputs:

- Stock price (S): $95

- Exercise price (X): 11% below the stock price = $95 - (11% * $95) = $95 - $10.45 = $84.55

- Time to expiration (T): 6 months = 0.5 years

- Variance of the stock return (σ^2): 0.0144

- Annual interest rate (r): 10% = 0.10

- Dividend yield (q): 0 (no dividend involved)

Using these inputs, we can calculate the price of the call option as follows:

d1 = [ln(S/X) + (r + σ^2/2) * T] / (σ * sqrt(T))

d2 = d1 - σ * sqrt(T)

N(d1) and N(d2) represent the cumulative standard normal distribution function, which can be looked up from a standard normal distribution table or calculated using software.

Call option price (C) = S * N(d1) - X * exp(-r * T) * N(d2)

Let's calculate the price of the call option step by step:

First, calculate d1:

d1 = [ln(S/X) + (r + σ^2/2) * T] / (σ * sqrt(T))

  = [ln(95/84.55) + (0.10 + 0.0144/2) * 0.5] / (sqrt(0.0144) * sqrt(0.5))

  = [ln(1.1211) + (0.10 + 0.0072) * 0.5] / (0.12 * 0.7071)

  ≈ [0.113 + 0.0536] / 0.0848

  ≈ 1.51

Next, calculate d2:

d2 = d1 - σ * sqrt(T)

  = 1.51 - 0.12 * 0.7071

  ≈ 1.51 - 0.0848

  ≈ 1.43

Now, calculate N(d1) and N(d2) using a standard normal distribution table or software. Let's assume N(d1) = 0.9357 and N(d2) = 0.9251.

Finally, calculate the call option price:

C = S * N(d1) - X * exp(-r * T) * N(d2)

 = $95 * 0.9357 - $84.55 * exp(-0.10 * 0.5) * 0.9251

 ≈ $88.91 - $84.55 * 0.9512

 ≈ $88.91 - $80.42

 ≈ $8.49

Therefore, according to the Black-Scholes model, the price of the call option in this case would be approximately $8.49.

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Answer:

siudsckjznc

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

Use the triangle angle sum theorem which states that the interior angles of a triangle sum to 180. Notice the box in the corner of the triangle. This means that angle is 90 degrees.

61+90+x= 180. Combine like terms.

151+x=180. Subtract 151 from both sides.

x= 29

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

a.) The statement P(1) is obtained by substituting n=1 into the equation. So, P(1) would be: 1³ = (1(1 + 1) / 2)²

b.) To show that P(1) is true, we need to prove that both sides of the equation are equal:

Left side: 1³ = 1

Right side: (1(1 + 1) / 2)² = (1(2) / 2)² = (2 / 2)² = 1² = 1

Since both sides of the equation are equal, we have completed the basic step of the proof, showing that P(1) is true.

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a) The equation is not true for n = 1, so P(1) is false.

b) The positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1

a) To find P(1), we substitute n = 1 into the equation given:

13 = (1(1 + 1) / 2)²

13 = (1 / 2)²

13 = 1/4

The equation is not true for n = 1, so P(1) is false.

b) To complete the basic step of the proof, we need to show that P(1) is true.

However, we have just shown that P(1) is false.

This means that the statement "for the positive integer n, 13 + 23 + … + n3 = (n(n + 1) / 2)²" is not true for n = 1.

Therefore, the proof cannot proceed and is incomplete.

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