Answer:
220m
Step-by-step explanation:
The horizontal distance from the cliff to the ship is 300m.
The top of the cliff is at an angle of 45° and the top of the hotel is at an angle of 60°. To find the height of the hotel we need to subtract the total height of hotel + cliff and the height of the cliff. We use the following procedure:
tan45° = Height of cliff (opp.) / distance of ship from cliff (adj.)
tan45° = x/300 -> x=tan45°*300 = 300m
Now,
tan60°=Height of hotel+cliff (opp.) / distance of ship from cliff (adj.)
tan60°=x'/300 -> x'=519.62m
To get the height of the hotel,
Height of hotel = Height of hotel+cliff - Height of cliff
Therefore,
Height of hotel = 519.62-300 = 219.62 ≈ 220m
The distance traveled by a car based on time, t, in seconds is given by the function of d =3t+1.
identify the independent variable, the dependent variable, rate of change and the initial value
The independent variable is 't' and the dependent variable is 'd' while the rate of change is '3' and the initial value is '1'.
In the given function d=3t+1:
The independent variable here is 't' which represents time in seconds.
whereas the dependent variable is 'd' and it represent the distance traveled by a car in some unit. The rate of change is 3, and it represents the constant speed of the car in units of distance per unit of time.
While the initial value is 1, which represents the distance traveled by the car when time is 0.
Hence this function can be interpreted as if the car is travelling at a constant speed of 3 units of distance and has already travelled 1 unit of distance at the start of the journey.
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HEY CAN SOMEONE HELP ASAP IVE BEEN ON THIS QUESTION FOR A WHILE NOW?!
Answer:
y=11.5x
he rides 11.5 miles every hour
List the number of sigma bonds and pi bonds in a triple bond.
2 sigma, 2 pi
1 sigma, 1 pi
2 sigma, 1 pi
1 sigma, 2 pi
A triple bond consists of d)1 sigma bond and 2 pi bonds.
In a triple bond, there is one sigma bond which is formed by the direct overlap of one s-orbital and one p-orbital. The remaining two bonds are pi bonds, formed by the lateral overlap of two p-orbitals. The pi bonds are oriented parallel to each other and perpendicular to the sigma bond.
Therefore, the number of sigma bonds in a triple bond is always 1, and the number of pi bonds is 2. This is true for all molecules that contain a triple bond, such as acetylene (C2H2) or nitrogen gas (N2).
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solve. 4|| = 24
HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The value of x from the given equation is 6
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 4x=24.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 4x=24
x=24/4
x=6
Therefore, the value of x is 6.
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"Your question is incomplete, probably the complete question/missing part is:"
Solve 4x=24.
What is the value of 7x (3x + x), when x = 8? (PLEASE show work/include image) or just answer the question but be specific PLEASE
Answer:
the answer is 1,792!
Step-by-step explanation:
7x (3x+x)
7(8) (3(8)+8)
56 (24+8)
56 (32)
1,792
I hope this helps! :)
Answer:
1792
Step-by-step explanation:
Select the correct answer. what is the value of the third quartile of the data set represented by this box plot? a box plot with lower quartile, median and upper quartile values as 21, 26, and 29, respectively. the whiskers on both the ends end at 19 (minimum) and 33 (maximum). a. 19 b. 21 c. 26 d. 29
Answer:
D. 29
Step-by-step explanation:
just did the test and got it correct. Edmentum, Plato.
The average prison sentence for a person convicted of second-degree murder is 15 years. If the sentences are normally distributed with a standard deviation of 2.4 years, find the following probabilities. Round the final answers to four decimal places and intermediate z -value calculations to two decimal places. Part 1 out of 2 A prison sentence is greater than 18 years. P(X > 18)
The probability of a prison sentence greater than 18 years for a person convicted of second-degree murder is 0.1056 or about 10.56%.
We must normalize the variable using the following method in order to determine the likelihood that a person convicted of second-degree murder will serve a jail term longer than 18 years:
\(z = (x - μ) / σ\)
where: mean of the distribution (15 years), delta: standard deviation, and x: value of interest (18 years in this example) (2.4 years).
When we enter the values, we will get that:
z = (18 - 15) / 2.4 = 1.25
Then, we can use a calculator or table of the standard normal distribution to determine the probability associated with this z-score. The likelihood of a sentence longer than 18 years is represented by the region to the right of the value z = 1.25. We determine that the region to the right of 1.25 is roughly 0.1056 using a common normal distribution table.
Hence, the likelihood that a person convicted of second-degree murder will serve a sentence in jail longer than 18 years is 0.1056 or roughly 10.56%.
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an indicator of reliability based on the correlations of each item in a measure with every other item is called:
Inter-Item Reliability is a measure of how consistently different items within a measure are related to each other. It is used to assess the internal consistency of a measure.
An indicator of reliability based on the correlations of each item in a measure with every other item is called: Inter-Item Reliability.
Inter-Item Reliability is a measure of how consistently different items within a measure are related to each other. This is assessed by calculating the correlations between each item and every other item in the measure.
A high level of Inter-Item Reliability indicates that all of the items in a measure are measuring the same construct, providing evidence for the validity and reliability of the measure. Conversely, a low level of Inter-Item Reliability indicates that the items in the measure may not be measuring the same construct, or that the measure may not be reliable or valid.Learn more about Inter-Item Reliability: https://brainly.com/question/13171394
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Zen Inc. manufactures two types of products, the G1 and the T1 model airplane. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work 7-hour shifts. On an average, to produce a G1 model, Zen Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T1 models as G1 models (this is the product mix). The company operates five days per week and makes a net profit of $130 on the G1 model, and $150 on the T1 model. Zen Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. If the numbers of G1 and T1 products produced each week are denoted as G and T respectively, the function that describes Zen, Inc.’s sales product mix for a week is?
Each model should be produced on a weekly basis to maximize net profit is $75,900.
What is Net profit?
In both business and accounting, net income or profit is an entity's revenue less cost of goods sold, costs, depreciation and amortisation, interest, and taxes for a certain accounting period.
As given,
Number of products sold:
T ≥ 1.5G
Maximize Profit Z = 150T + 130G
Labor Constraint:
Labor hours Available:
Production Department:
Number of labor hours available per day = 58 × 7 = 406
Number of days in a week = 5
Number of lobor ours available per week = 406 × 5 = 2030
Assembly Department:
Number of labor hours available per day = 25 × 7 = 175
Number of days in a week = 5
Number of labor hours available per week = 175 × 5 = 875.
Labor hours Required:
Labor hours required for G1 model:
Labor hours required at Production department = 3.5G
Labor hours required at assembly department = 2G
Labor hours required for T1 model:
Labor hours required at Production department = 4T
Labor hours required at Assembly department = 1.5T
Total labor hours required at Production department = 3.5G + 4T
Total labor hours required at Assembly department = 2G + 1.5T.
Constraint:
Labor hours required ≤ Labor hours Available.
Production department Labor constraint
3.5G + 4T ≤ 2030
Assembly department Labor constraint:
2G + 1.5T ≤ 875
The function:
Maximum Profit Z = 150T +130G
Constraint:
3.5G +4T ≤ 2030
2G + 1.5T ≤ 875
T ≥ 1.5G
Suppose that for example:
10.5G +12T = 6090
16G + 12T = 7000
Solve both equations simultaneously,
5.5G = 7000 - 6090
5.5G = 910
G = 910/5.5
G = 363
Since, T > G
Hence,
T = 363,
G = 165
Calculate Profit:
150T + 130G = 150 × 363 + 130 × 165
= 54450 + 21450
= 75900
Hence, each model should be produced on a weekly basis to maximize net profit is $75,900.
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Carlos got 5/6 of the test questions correct. This was 15 questions. How
many questions were on the test?
Answer:
5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified
Step-by-step explanation:
If a watch costs $40 and you must pay 6.5 % sales tax, how much will the tax be?
2. One Sample t - Test hypothesis test (10 points) Test whether artificial sunlight during the winter months affects one's depression. Without the light, a depression test has u=8. With the light, our sample with n=41 produced a sample mean, M=6. The test statistic is calculated and t= -1.83. Use five steps of hypothesis testing to answer the question.
The artificial sunlight during winter months does not have a significant effect on one's depression.
To test whether artificial sunlight during the winter months affects one's depression, a one-sample t-test was conducted. The null hypothesis (H₀) states that there is no difference in depression levels between individuals with and without artificial sunlight, while the alternative hypothesis (H₁) suggests that there is a significant difference. The depression test without the light had a population mean (μ) of 8, and the sample with artificial sunlight (n=41) had a sample mean (M) of 6. The test statistic was calculated as t=-1.83.
In this hypothesis test, the significance level (α) is typically set beforehand. Let's assume α = 0.05 for a 5% significance level. Using this information, we can now evaluate the results.
The calculated t-value of -1.83 can be compared to the critical t-value from the t-distribution table. With n-1 degrees of freedom (41-1=40) and a 5% significance level, the critical t-value is approximately ±2.021. Since the calculated t-value (-1.83) falls within the non-rejection region (-2.021 to 2.021), we fail to reject the null hypothesis.
This means that there is not enough evidence to conclude that artificial sunlight during the winter months has a significant effect on one's depression levels. The sample data does not provide sufficient support to suggest that there is a difference in depression scores when artificial sunlight is present.
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PLSSS HELP 20 POINTS!!!!!!
Answer:
1/4xy(x^2+3y)
Step-by-step explanation:
oh ok last one was missing that y thx for reposting
Classify the following scenarios as one-sided or two-sided tests.
one-sided hypothesis test
test whether incoming students at a business school receive better grades in their classes if they've taken an on-line program covering basic material
test whether there is a difference between men's and women's usage of a mobile fitness app
two-sided hypothesis test
test whether the number of listeners of a streaming music service has changed after they changed the user interface
test whether users of a commercial website are less likely to make a purchase if they are required to set up a user account on the site
One-sided hypothesis test: Incoming students' grades based on the online program.
Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.
We have,
Classifying the scenarios as one-sided or two-sided tests:
One-sided hypothesis test:
Test whether incoming students at a business school receive better grades in their classes if they've taken an online program covering basic material.
Two-sided hypothesis test:
Test whether there is a difference between men's and women's usage of a mobile fitness app.
Two-sided hypothesis test:
Test whether the number of listeners of a streaming music service has changed after they changed the user interface.
One-sided hypothesis test:
Test whether users of a commercial website are less likely to make a purchase if they are required to set up a user account on the site.
Thus,
One-sided hypothesis test: Incoming students' grades based on the online program.
Two-sided hypothesis test: Men's and women's usage of mobile fitness app, listeners of a streaming music service based on user intappserface change, and users of a commercial website making a purchase based on user account requirement.
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PLEASE HELP!! ILL MARK U AS BRAINLIEST!!!
The answer would be \(\frac{1}{2}\).
The probability of getting a 5 is \(\frac{1}{100}\) and the probability of getting a number larger than 50 is \(\frac{49}{100}\) (the 50 doesn't count). Add those up and you get \(\frac{50}{100}\) and can be simplified to \(\frac{1}{2}\).
Answer:
51/100
Step-by-step explanation:
The probability is the ratio of the number of outcomes of interest to the total number of possible outcomes.
__
There is one number 5. There are 50 numbers in the range 1–100 that are greater than 50. So, the total number of outcomes of interest is 1+50 = 51.
The possible outcomes are any of the numbers 1–100, so there are 100 of them.
The probability of interest is ...
P(n=5||n>50) = 51/100
I need help!!!!! Jdjshekosixjsjjejfixis
solve h(x)=x^2-2x-8>7
Answer:
x < -3 and x > 5
Step-by-step explanation:
x² - 2x - 8 > 7
~Rewrite in standard form
x² - 2x - 15 > 0
~Factor
(x + 3)(x - 5) = 0
~Solve for both factors
x + 3 = 0
x = -3
x - 5 = 0
x = 5
Best of Luck!
A store manager kept track of the number of newspapers sold each week over a seven-week period. The results are shown below. \( 87,87,215,154,288,235,231 \) Find the median number of newspapers sold.
The median number of newspapers sold over seven weeks is 223.
The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.
The formula for the median is as follows:
Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)
We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288
The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.
Median = (215 + 231)/2
= 446/2
= 223
In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.
Hence, the median number of newspapers sold over seven weeks is 223.
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DESPARATE WILL GIVE 100 POINTS FOR THIS
Which table represents a nonlinear function?
x y
−2 −1
0 1
2 3
5 6
x y
−7 −3
−5 0
0 3
4 1
x y
−5 7
−2 6
1 5
7 3
x y
−3 3
0 0
6 −6
10 −10
Answer:
The answer is D!
Step-by-step explanation:
3 of 25 After running a coiled tubing unit for 81 minutes, Tom has 9,153 feet of coiled tubing in the well. After running the unit another 10 minutes, he has 10,283 feet of tubing in the well. His call sheet shows he needs a total of 15,728 feet of tubing in the well. How many more feet of coiled tubing does he need to run into the well? feet 4 of 25 Brendan is running coiled tubing in the wellbore at a rate of 99.4 feet a minute. At the end of 8 minutes he has 795.2 feet of coiled tubing inside the wellbore. After 2 more minutes he has run an additional 198.8 feet into the wellbore. How many feet of coiled tubing did Brendan run in the wellbore altogether? 5 of 25 Coiled tubing is being run into a 22,000 foot wellbore at 69.9 feet per minute. It will take a little more than 5 hours to reach the bottom of the well. After the first four hours, how deep, in feet, is the coiled tubing? feet
3) The extra number of feet of coiled tubing Tom needs to run into the well is: 5445 ft
4) The total length of coiled tubing Brendan ran in the wellbore is: 994 ft
5) The distance that the coiled tubing has reached after the first four hours is: a depth of 16,776 feet in the well.
How to solve Algebra Word Problems?3) Initial amount of coiled tubing he had after 81 minutes = 9,153 feet
Amount of tubing after another 10 minutes = 10,283 feet
The total tubing required = 15,728 feet.
The extra number of feet of coiled tubing Tom needs to run into the well is: Needed tubing length - Current tubing length
15,728 feet - 10,283 feet = 5,445 feet
4) Speed at which Brendan is running coiled tubing = 99.4 feet per minute.
Coiled tubing inside the wellbore after 8 minutes is: 795.2 feet
Coiled tubing inside the wellbore after 2 more minutes is: 198.8 feet
The total length of coiled tubing Brendan ran in the wellbore is:
Total length = Initial length + Additional length
Total length = 795.2 feet + 198.8 feet
Total Length = 994 feet
5) Rate at which coiled tubing is being run into a 22,000-foot wellbore = 69.9 feet per minute. After the first four hours, we need to determine how deep the coiled tubing has reached.
A time of 4 hours is same as 240 minutes
Thus, the distance covered in the first four hours is:
Distance = Rate * Time
Distance = 69.9 feet/minute * 240 minutes
Distance = 16,776 feet
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Find the area of the shape shown below.
Answer:
the answer is 32
Step-by-step explanation:
brainliest?
Find value of Y X and ABHG
9514 1404 393
Answer:
y = 26.25x = 8perimeter = 141.5Step-by-step explanation:
Corresponding segments of the non-parallel lines are proportional:
12/15 = 21/y = x/10
Solving for y, we have ...
y = 21(15/12) = 26.25
Solving for x, we have ...
x = 10(12/15) = 8
__
Then AB = y-14 = 26.25 -14 = 12.25, and HG = 5x -3 = 5(8) -3 = 37.
The perimeter is ...
P = AB +BD +DF +FH +HG +GE +EC +CA
P = 12.25 +15 +26.25 +10 +37 +8 +21 +12
P = 141.5
The value of y is 26.25.
The value of x is 8.
The perimeter is 141.5.
what word are you reminded of when you hear the word radian? discuss this with your team and make a conjecture about how this might relate to a way to measure angles. be prepared to share your ideas with the class.
Radians are a unit of measurement for angles used in mathematics and physics. They are defined as the ratio between the length of an arc of a circle and the radius of that circle.
One of the most important benefits of using radians to measure angles is that they simplify calculations involving angles, making them easier to work with.
Additionally, they allow for a more elegant and unified approach to mathematical and physical problems involving angles. So, in short, the word "radian" might be associated with concepts such as circles, arcs, and the measurement of angles in mathematics and physics.
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Lawrence knows his race car can accelerate from 0 miles per hour to 100 miles per hour in 60 seconds. He assumed the acceleration was constant and created the graph below. If his graph is accurate, what point on the graph would give him the speed of the race car after 30 seconds of accelerating
Answer:
50 miles at 30 seconds
Step-by-step explanation:
It is that half way point of both the x and the y axis for the first minute of driving
Answer:
Lawrence knows his race car can accelerate from 0 miles per hour to 100 miles per hour in 60 seconds
andre lives with his wife and three children. approximately how many pounds of municipal solid waste does andre and his family generate each day?
If andre lives with his wife and three children. 22 pounds of municipal solid waste his family generates each day.
What is population density?It is defined as the ratio of the population to the total area. The population density represents the average number of people living in each square unit.
It is given that and lives with his wife and three children.
We have to find the mass of municipal solid waste Andre and his family generate each day.
From the data research 22 pounds of municipal solid waste, his family generates each day.
Thus, if Andre lives with his wife and three children. 22 pounds of municipal solid waste his family generates each day.
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Which of the following quadratic equations has roots at (-4, 0) and (10, 0) and goes through the point (5,45)
Y=(x-4) (x+ 10)
Y=(x+4) (x- 10)
y= -(x+4) (x- 10)
The quadratic equation which satisfy all the condition is y= -(x+4) (x- 10)
What is the simple quadratic formula?
The quadratic formula is as follows. The equation Ax2+Bx+C=0 can be divided by A to get x2+B/Ax+C/A=0, and the procedure repeated to get the more generic version.
How do you square a number?
How to use the Quadratic Formula to solve a quadratic equation.
Ax2 + bx + c = 0 is the quadratic equation in standard form. Find the values of a, b, and c.
the quadratic formula in writing. Then enter the values for a, b, and c.
Simplify.
Verify the answers.
Given that :
Roots are (-4, 0) and (10, 0)
and goes through the point (5,45)
So as we can see that that only second and third option satisfy the roots and the third one satisfy the point conditions.
hence the quadratic equation which satisfy all the condition is y= -(x+4) (x- 10)
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Solve for x in the triangle. Round your answer to the nearest tenth.
1
X
41°
Answer:
x= 9.2 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
The Pythagorean theorem states that for any given right triangle a+b+=c. Using the Pythagorean theorem, what should be that the relationship between the areas of the three squares
The Pythagorean Theorem is a fundamental concept that relates to the sides of a right-angled triangle, and it can also be used to understand the relationship between the areas of the squares constructed on the sides of the triangle.
The area of a square is given by the formula A = s², where s is the length of one of its sides. Therefore, the areas of the three squares are:
Area of the square with side a = a²
Area of the square with side b = b²
Area of the square with side c = c²
Now, let's compare the areas of the squares. We can start by subtracting the area of the square with side a from the area of the square with side c:
c² - a²
Using the Pythagorean Theorem, we know that c² = a² + b². Substituting this into the above expression, we get:
c² - a² = (a² + b²) - a² = b²
This tells us that the difference between the area of the square with side c and the area of the square with side a is equal to the area of the square with side b. In other words:
c² - a² = b²
This is known as the Pythagorean identity. It states that in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. We can also rearrange this identity to obtain the following:
c² = a² + b²
This is the Pythagorean Theorem that we are familiar with. Therefore, we can conclude that the relationship between the areas of the squares constructed on the sides of a right-angled triangle is given by the Pythagorean identity: the difference between the area of the square on the hypotenuse and the area of the square on the shorter side is equal to the area of the square on the other shorter side.
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express the limit as a definite integral on the given interval. lim n→[infinity] n i = 1 xi* (xi*)2 4 δx, [1, 6]
The limit you're seeking can be expressed as the definite integral ∫[1, 6] 4x^3 dx. The limit as a definite integral on the given interval: lim n→∞ Σ (i=1 to n) (xi*)(xi*)^2 * 4δx, [1, 6].
To do this, follow these steps:
1. First, recognize that this is a Riemann sum, where xi* is a point in the interval [1, 6] and δx is the width of each subinterval.
2. Convert the Riemann sum to an integral by taking the limit as n approaches infinity: lim n→∞ Σ (i=1 to n) (xi*)(xi*)^2 * 4δx = ∫[1, 6] f(x) dx.
3. The function f(x) in this case is given by the expression inside the sum, which is (x)(x^2) * 4.
4. Simplify the function: f(x) = 4x^3.
5. Now, substitute the function into the integral: ∫[1, 6] 4x^3 dx.
6. Finally, evaluate the definite integral: ∫[1, 6] 4x^3 dx.
So, the limit can be expressed as the definite integral ∫[1, 6] 4x^3 dx.
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Perry wants to use a 12-foot ladder to reach a shelf that is 11 feet above the ground. How far from the wall should Perry place the base of the ladder so that the top of the ladder reaches the shelf? Round to the nearest tenth.
Answer:
I believe 1 foot away
Step-by-step explanation:
because if you take 1 away from 12 you get 11 and that is how tall the shelf is.