\( \frac{ \frac{8}{5} }{ \frac{2}{25} - \frac{5}{16} } \)

What is the answer of this?​

The distance from the base of the stand to the campfire is 285.6 feet.

The angle of depression of 35 degrees.

Let's denote the distance from the base of the stand to the campfire as "x."

Since we know that,

The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.

Using the tangent function, we have:

tan(35 degrees) = opposite/adjacent

tan(35 degrees) = 200/x

To find the value of x, we can rearrange the equation:

x = 200 / tan(35 degrees)

x ≈ 200 / 0.7002

x ≈ 285.6 feet

Therefore, the distance from the base of the stand to the campfire is 285.6 feet.

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To evaluate the integral by reversing the order of integration, we first need to draw the region of integration. From the given limits of integration, we can see that the region is a rectangle with vertices at (0,4), (0,12), (11,4), and (11,12).

Now, we can reverse the order of integration by integrating with respect to y first, and then x. The new limits of integration will be y = 4 to y = 12 and x = 0 to x = 11e^(2y/3).

So, the new integral will be:

∫(0 to 11) ∫(4 to 12) 3y e^(2x/3) dy dx

We can evaluate this integral using integration by parts. Integrating with respect to y gives us:

∫(0 to 11) [3y^2/2 e^(2x/3)] from y = 4 to y = 12

Simplifying this expression gives us:

∫(0 to 11) [36e^(2x/3) - 6e^(8x/3)]/2 dx

Now, integrating with respect to x gives us:

[27e^(2x/3) - 9e^(8x/3)] from x = 0 to x = 11

Substituting these values and simplifying gives us the final answer:

(27e^22/3 - 9e^88/3) - (27 - 9) = 27e^22/3 - 9e^88/3 - 18

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Answer:

and in other pic its me .....lol

slope intercept form: y = mx + b    [ where m is slope and b is y-intercept ]

\(\dashrightarrow \ \sf9x + 3y = 27\)

\(\dashrightarrow \ \sf 3y = 27 -9x\)

\(\dashrightarrow \ \sf y = \dfrac{27 -9x}{3}\)

\(\dashrightarrow \ \sf y = -3x + 9\)

Here, the "slope is -3"  and  "y-intercept is 9"

Slope intercept form:-

Now convert

Cancel 3

Kathleen Ledecky was swimming at a speed of approximately 0.0597 miles per minute during the 1500m freestyle swim

To convert the time in minutes, we can convert 15 minutes and 35 seconds to a decimal of a minute

15 minutes + 35 seconds = 15 + 35/60 = 15.58 minutes

Now, to find the speed in miles per minute, we need to know the distance she swam in miles. The 1500m is approximately 0.932 miles (since 1 mile is approximately 1609.34 meters).

So, her speed in miles per minute would be:

Speed = Distance / Time

Speed = 0.932 miles / 15.58 minutes

Speed = 0.0597 miles per minute

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Answer:

d

Step-by-step explanation:

If on  Monday Tom work for 11 extra hours the total amount of money that tom made on Monday is £885.

As per the given data, the extra money he earns can be calculated as,

= [(11 - 7) × 15] × 13 + (7 × 15)]

= (4 × 15 × 13) + 105

= 780 + 105

= £885

Therefore, the amount of money  is £885.

Time and work are concerned with how long it takes a person or a group of people to finish a task and how well each of them completes it.

Indirect proportion is related to time and work. In both directions, when one quantity rises, the other falls, and vice versa. It takes less time to finish the same amount of work when people work more hours.

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Answer:

B.) \(6^{\frac{1}{2}}\)

Step-by-step explanation:

Use the exponent rule that states \(a^{\frac{1}{m}}=\sqrt[m]{a}\).  For this problem, let

a=6

m=2

So,

\(\sqrt6=6^{\frac{1}{2}}\)

Answer:

A

Step-by-step explanation:

\( - 3(2x + 8) \\ = - 3(2x) - 3(8) \\ = - 6x - 24\)

The analyst should use the alpha aesthetic. The alpha aesthetic makes some points on a plot more transparent than others to call out specific data points.

A set of points plotted on a horizontal and vertical axis is known as a scatter plot. Because they can demonstrate the degree of correlation, if any, between the values of observed quantities or phenomena, scatter plots are crucial in statistics (called variables). In an effort to demonstrate the degree to which one variable is influenced by another, scatter plots are used to plot data points on a horizontal and vertical axis. The values of the columns set on the X and Y axes determine the position of the marker that represents each row in the data table.

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Answer:

b. 12 and 13

Step-by-step explanation:

I hope I was of use to you! (. ❛ ᴗ ❛.)

The probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

To solve this problem, we'll use the M/M/1 queueing model with Poisson arrivals and exponential service times. Let's calculate the required values: (a) Percentage of time Judy is idle: The utilization of the system (ρ) is the ratio of the average service time to the average interarrival time. In this case, the average service time is 10 minutes, and the average interarrival time is 12 minutes. Utilization (ρ) = Average service time / Average interarrival time = 10 / 12 = 5/6 ≈ 0.8333

The percentage of time Judy is idle is given by (1 - ρ) multiplied by 100: Idle percentage = (1 - 0.8333) * 100 ≈ 16.67%. Therefore, Judy is idle approximately 16.67% of the time. (b) Average waiting time for a student:

The average waiting time in a queue (Wq) can be calculated using Little's Law: Wq = Lq / λ, where Lq is the average number of customers in the queue and λ is the arrival rate. In this case, λ (arrival rate) = 1 customer per 12 minutes, and Lq can be calculated using the queuing formula: Lq = ρ^2 / (1 - ρ). Plugging in the values: Lq = (5/6)^2 / (1 - 5/6) = 25/6 ≈ 4.17 customers Wq = Lq / λ = 4.17 / (1/12) = 50 minutes. Therefore, on average, a student spends approximately 50 minutes waiting in line.

(c) Average length of the line: The average number of customers in the system (L) can be calculated using Little's Law: L = λ * W, where W is the average time a customer spends in the system. In this case, λ (arrival rate) = 1 customer per 12 minutes, and W can be calculated as W = Wq + 1/μ, where μ is the service rate (1/10 customers per minute). Plugging in the values: W = 50 + 1/ (1/10) = 50 + 10 = 60 minutes. L = λ * W = (1/12) * 60 = 5 customers. Therefore, on average, the line consists of approximately 5 customers.

(d) Probability of finding at least one student waiting in line: The probability that an arriving student finds at least one other student waiting in line is equal to the probability that the system is not empty. The probability that the system is not empty (P0) can be calculated using the formula: P0 = 1 - ρ, where ρ is the utilization. Plugging in the values:

P0 = 1 - 0.8333 ≈ 0.1667. Therefore, the probability that an arriving student will find at least one other student waiting in line is approximately 0.167.

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An algebraic expression like (3+5) x (4-1) is a combination of numbers and at least one operation.

The value of m in the right triangle to the nearest tenth is 7.2 units.

The figure above is a right triangle.

The right triangles are similar.

Therefore, right triangle ABC is similar to right triangle BDC.

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Therefore, let's find the value of m using the similar triangle principle,

m / 13 = 4 / m

cross multiply

m × m  = 13 × 4

m² = 52

square root both sides

√m² = √52

m = 7.21110255093

Therefore,

m = 7.2 units.

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Answer:

2/12

Step-by-step explanation:

7/12 -5/12 = 2/12

the number 2 can go into 2 once and 12 six times so you should get 1/6 as your answer

Answer:

Step-by-step explanation:

Sing robbery and ur done

Answer:

the answer is c

Step-by-step explanation:

im dumb don't listen but I know you will figure it out if you use you brain and you notes ; )

-185/100 = -1.85

a) -1.08 this number id greater than -1.85

b) 190/100 = 1.9 this number is greater than -1.85

c) -35/20 = -1.75 this number is greater than -1.85

All these numbers are greater than -185/100

Answer:

\(288 {x}^{2} + x + 18\)

Step-by-step explanation:

Ayan po ang answer sana po makatulong

Paki heart nalang po kung nakatulong

#carrying learning

a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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Yes, given explanation is correct.if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

For test the claim that the proportion of people who smoke is less than 22.5%.

A one-tailed test of hypothesis can be used. Specifically, a one-sample z-test for a proportion can be used where:

Null hypothesis: p ≥ 0.225 (the proportion of people who smoke is equal to or greater than 22.5%)

Alternative hypothesis: p < 0.225 (the proportion of people who smoke is less than 22.5%)

The test statistic for the one-sample z-test for a proportion is calculated as:

z = (p - P0) / √[(P0 × (1 - P0)) / n]

where p is the sample proportion, P0 = the hypothesized proportion under the null hypothesis and n = The sample size.

If the calculated test statistic falls in the rejection region which is determined by the chosen significance level (e.g., alpha = 0.05) then the null hypothesis can be rejected and it can be concluded that there is evidence to support the claim that the proportion of people who smoke is less than 22.5%.

For a one-tailed test with alpha = 0.05, the critical value is -1.645.

Hence, if the calculated test statistic is less than -1.645 then the null hypothesis can be rejected.

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Since w is not connected to u or v by a path, it must be connected to some other vertex in the graph. Let's call this vertex x. Since x is connected to w and not connected to u or v, the path from u to v must pass through x and w. this creates a cycle in the graph, which contradicts our assumption that the graph is circuit-free.



The graph is circuit-free, there is no cycle that includes both u and v. Therefore, the only way to reach vertex v from vertex u is to go through other vertices in the graph. Let's assume that the shortest path between u and v has length k.
Since the graph is simple and has n vertices, the maximum degree of any vertex in the graph is n-1. This means that there are at most n-1 vertices adjacent to vertex u.

Therefore, we have shown that if a graph is circuit-free, simple, and has n vertices and at least n-1 edges, then it must be connected.

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a) 10 additional days are required for both to cost the same.

b) The cost is 70$.

At Johan's Rental:

Rent= (50+2x)$

At Martinez Rent:

Rent= (30+4x)$

For both the cost same

By using Elimination method,

50+2x = 30+4x

50-30 = 4x-2x

20 = 2x

x = 10

10 additional days are required for both to cost the same.

Cost = 50+2x

= 50+2*10

=50+20

=70.

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To determine the FIT (Federal Income Tax) withheld for Carrie Burnside, we need to consider her earnings, filing status, and number of allowances.

Based on the given information, Carrie earns $350.15 weekly. The specific tax rates and brackets for calculating FIT may vary depending on the tax year and jurisdiction, so I will provide a general explanation.

First, we need to determine Carrie's taxable income by subtracting any applicable deductions or exemptions. Assuming no additional deductions or exemptions are mentioned, her taxable income would be equal to her earnings, $350.15 per week.

Next, we would use the tax brackets and rates applicable for Carrie's filing status, which in this case is single. The tax brackets have different income ranges, and each range has an associated tax rate.

We would apply the tax rate to Carrie's taxable income to calculate the FIT liability. The withheld amount would be the estimated tax liability divided by the number of pay periods in a year (assuming weekly pay periods).

Since the specific tax rates and calculations can vary, it's recommended to use a reliable tax calculator or consult a tax professional to determine the exact FIT withheld for Carrie Burnside's situation.

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Hi there!

\(\large\boxed{-40 + 20i}\)

Recall the rules for the imaginary number "i":

i = √-1          i² = -1

Given:

(5i) (5i) + (5i) (4 + 3i)

Multiply:

(25i²) + 20i + 15i²

Simplify using the rule above:

25(-1) + 20i + 15(-1)

-25 + 20i - 15

-40 + 20i

a = -40

b = 20

Answer:

Domain: all real numbers

Step-by-step explanation:

The function is:

\( f(x) = \dfrac{2}{9}x^2 + 18x - 216 \)

The domain of a function is the set of values of the x-coordinates of the points of the function.

In this function, there is no restriction on x, so the domain is all real numbers.

a. To test the independence of occupation and personality preferences, we will run a chi-square goodness-of-fit test because both variables are categorical and we are comparing observed frequencies to expected frequencies.

b. Null hypothesis: Occupation and personality preference are independent.

Alternative hypothesis: Occupation and personality preference are dependent.

c. To calculate the p-value, we first need to calculate the expected frequencies for each cell under the assumption that the null hypothesis is true. We can do this by finding the row and column totals and using these to calculate the expected frequencies based on the proportion of E's and I's in each row and column.

For example, the expected frequency for Clergy with an E preference would be (534*1087)/2408 = 240.9. Using this method, we can calculate all the expected frequencies:

Occupation  |  E     |   I    | Row Total

Clergy      | 240.9  | 293.1 |   534

M.D.        | 845.7  | 757.3 |  1603

Lawyer      |   0.4  | 270.6 |   271

Column Total|1087    |1321    |  2408

Next, we calculate the chi-square statistic using the formula:

χ2 = Σ [(O - E)²/E]

where O is the observed frequency and E is the expected frequency. Summing over all cells, we get:

χ2 = [(308-240.9)²/240.9] + [(226-293.1)²/293.1] + [(667-845.7)²/845.7] + ... + [(159-270.6)²/270.6]

= 84.09

Using a chi-square distribution table with degrees of freedom equal to (number of rows - 1) * (number of columns - 1), we find the critical value for a 1% level of significance with 2 degrees of freedom to be 9.21.

Finally, we calculate the p-value as the probability of observing a chi-square statistic of 84.09 or greater with 2 degrees of freedom:

p-value = P(χ² ≥ 84.09) = 0 (from statistical software or calculator)

d. Since the p-value is less than the level of significance of 0.01, we reject the null hypothesis and conclude that there is evidence to suggest that occupation and personality preference are dependent.

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Answer:

A=80 square feet.

Step-by-step explanation:

Answer:

4x6=24

Step-by-step explanation:

for Area you just have to multiply in this case 6 and 4 6x4=24 and put square feet bc is area thats all.

there you have it I am a noob can I have brainliest thx hope I help