Answer:
negative
Step-by-step explanation:
An angle whose measure is
is rotated more than halfway around a circle.
Answer: 210
Step-by-step explanation: the correct answer on edge2020
A company rented a computer $800 a month. 5 years later the treasurer that if the company had purchased the computer and paid $100 maintenance charge the company would have saved $1000. what was the purchase price for the computer?
The purchase price of the computer is $41,000.
We know that,
1 year = 12 months
5 year =( 12 * 5 ) months
∴5 year = 60 months
According to the question,
The company rented a computer for $800 a month.
The company had purchased the computer and paid a $100 maintenance charge.
The company would have saved $1000.
Purchase price=(800×60)- [(5×12 month×100)+1,000]
Apply BODMAS Rule,
⇒Purchase price=48,000-[60 * 100+1,000)
⇒Purchase price=48,000-[6,000+1,000)
⇒Purchase price=48,000-7,000 ( using subtraction)
⇒Purchase price=41,000
So, the purchase price of the computer is $41,000.
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for a nonsingular matrix a and nonzero scalar β, show that (βa)^(-1) = 1/β A^(-1)
To show that (βa)^(-1) = 1/β A^(-1), we can use the definition of the inverse of a matrix.
To show that (βA)^(-1) = 1/β A^(-1) for a nonsingular matrix A and a nonzero scalar β, follow these steps:
1. Let's consider a nonsingular matrix A and a nonzero scalar β.
2. Multiply both sides of the equation by (βA).
On the left side, we have:
(βA)(βA)^(-1)
On the right side, we have:
(βA)(1/β A^(-1))
3. Apply the property of inverse matrices:
(βA)(βA)^(-1) = I, where I is the identity matrix.
4. On the right side, distribute the (βA) to both terms in the parentheses:
(βA)(1/β A^(-1)) = β(1/β) A(A^(-1))
5. β(1/β) simplifies to 1, and applying the property of inverse matrices again, A(A^(-1)) = I, so:
1 * I = I
Thus, we have shown that (βA)^(-1) = 1/β A^(-1) for a nonsingular matrix A and a nonzero scalar β.
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The London Eye Ferris wheel has a diameter of 135 m and completes one revolution in 30 min. a) Determine the angular velocity, w, in radians per second. b) How far has a rider travelled at 10 min into the ride?
Hence, the rider has traveled 282.98 meters at 10 minutes into the ride.
Given: Diameter of the London Eye Ferris wheel = 135 m
One revolution completed in = 30 minutes
a) Angular Velocity,
w = ?
The circumference of the Ferris wheel = πd (where d = diameter)
So, Circumference of Ferris wheel = π x 135 = 423.93 m
In one revolution, distance covered by Ferris wheel = Circumference = 423.93 m
Time taken to complete one revolution = 30 min
Angular Velocity (w) = Distance / Time taken
w = 423.93 / (30 x 60)w = 0.234 rads-1
Therefore, the Angular Velocity of the Ferris wheel is 0.234 radians per second.
b) How far has a rider traveled at 10 minutes into the ride?
At t = 10 minutes = 1/3 hour
Since one revolution of Ferris wheel takes 30 minutes = 0.5 hour
So, the fraction of the ride completed = t/T = (1/3) / (0.5) = 0.67
In this time period, the angle of rotation made by the Ferris wheel is given by:
Angle rotated = 2π x 0.67 = 4.19 radians
Distance covered = Arc Length of Sector of Circle formed in this time
Period of Ferris wheel = 30 minutes = 0.5 hour
Radius of Ferris wheel = (1/2) x 135 = 67.5 m
So, Arc Length of Sector = (θ/2π) x πd = θd= 4.19 x 67.5 = 282.98 m
Hence, the rider has traveled 282.98 meters at 10 minutes into the ride.
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what is the circumference
Answer: 69.43 cm
Step-by-step explanation:
Given: Arc length (JK) = 40.5 cm
Central angle ∠ JLK = 210°
Arc length = \(\dfrac{x}{360}\times\text{Circumference}\)
\(\Rightarrow\ 40.5=\dfrac{210}{360}\times\text{Circumference}\\\\\Rightarrow \text{Circumference} =40.5\times\dfrac{360}{210}\\\\\approx69.43\ cm\)
Hence, Circumference = 69.43 cm
what is the fourth step of the risk assessment process? a. determine probability b. estimate severity c. determine current level of preparedness/mitigation d. identify hazards
The fourth step of the risk assessment process is to determine current level of preparedness/mitigation.
The correct option is C.
What exactly is the risk assessment process?A risk assessment is a procedure for identifying potential dangers and analyzing what might happen if one happens. A business impact analysis (BIA) is a procedure that determines the probable consequences of interrupting time-sensitive or important business processes. There are various potential hazards to be mindful of.
What exactly is the goal of risk assessment?The ultimate goal of risk assessments is to improve workplace safety and health. However, to order to accomplish this, your risk assessment process must identify occupational hazards and eliminate or reduce the risks they represent.
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which of the following terminating decimals is equivalent to -1 3\4
Answer:
Step-by-step explanation:
-1 3/4 = -1.75.
pls help I’m not understanding !
The triangle ABC ≅ triangle DEC using the SSS criteria.
Given that, BA ≅ ED. Also C is midpoint of BE and AD thus,
BC = CE
AC = CD
Now, for the triangle ABC and triangle DEC we have:
BA = ED (Given)
C is the midpoint of BE and AD (given)
BC = CE (C is the midpoint)
AC = CD (C is the midpoint)
Thus, the triangle ABC ≅ triangle DEC using the SSS criteria.
BA = ED (Given). C is the midpoint of BE and AD (given). BC = CE (C is the midpoint). AC = CD (C is the midpoint), The triangle ABC ≅ triangle DEC using the SSS criteria.
What are similar triangles?Two triangles that are similar in shape but not necessarily in size are said to be similar triangles. This indicates that the respective sides and angles in the two triangles are proportional to one another. There are numerous uses for similar triangles in geometry, such as discovering missing side lengths or angles or resolving problems with indirect measurements. Other shapes besides triangles, like circles, rectangles, and polygons, are also included in the concept of resemblance.
Given that, BA ≅ ED. Also C is midpoint of BE and AD thus,
BC = CE
AC = CD
Now, for the triangle ABC and triangle DEC we have:
BA = ED (Given)
C is the midpoint of BE and AD (given)
BC = CE (C is the midpoint)
AC = CD (C is the midpoint)
Thus, the triangle ABC ≅ triangle DEC using the SSS criteria.
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GRAPHINGRELATIONSHIPS:
sketch a graph
Sherry read 1/3 of a book,then went to bed. The next day she finished reading the entire book 
Sherry's commitment and love for reading allowed her to embark on a literary adventure that spanned two days. From the initial taste of 1/3 to the final bite of the remaining line 2/3, she had read the entire book, savoring every word and getting lost in the magic of storytelling.
Sherry's reading adventure began with her diving into a book, eager to explore its contents. She managed to devour a portion of the book, specifically 1/3 of it, before feeling the sweet embrace of sleep and deciding to call it a night.
The following day arrived, and Sherry's desire to unravel the remaining mysteries of the book was still burning bright within her. Determined to quench her thirst for knowledge, she dedicated herself to reading the rest of the book. With focused determination, she turned page after page, immersing herself in the story's captivating world.
As the hours ticked by, Sherry felt the satisfaction of progress. With each passing chapter, she could sense herself inching closer to the climax and resolution of the story. The characters became like old friends, and the plot twists kept her on the edge of her seat.
Finally, as the sun dipped below the horizon, Sherry turned the last page and completed the final chapter. She had done it. She had finished reading the entire book. The sense of accomplishment washed over her, accompanied by a bittersweet feeling that the journey had come to an end.
Reflecting on her reading experience, Sherry realized that she had initially read 1/3 of the book before retiring for the night. That meant there were still 2/3 of the book left for her to discover on the subsequent day. And indeed, she did just that. She dedicated her time and energy to devouring the remaining 2/3 of the book, leaving no page unturned.
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Haematuria + frequency + dysuria what is the diagnosis and investigations?
Solve the multiple-angle equation. (Enter your answers as a comma-separated list. Use n as an arbitrary integer. Enter your response in radians.)2 cos 2x − 1 = 0
Given:
The function is:
\(2\cos2x-1=0\)Find-:
The value of "x"
Explanation-:
The value of x is:
\(\begin{gathered} 2\cos2x-1=0 \\ \\ 2\cos2x=1 \\ \\ \cos2x=\frac{1}{2} \\ \end{gathered}\)Solve for x is:
\(\begin{gathered} \cos2x=\frac{1}{2} \\ \\ 2x=\cos^{-1}(\frac{1}{2}) \\ \\ 2x=\frac{\pi}{3}+2\pi n\text{ and }2x=\frac{5\pi}{3}+2\pi n \end{gathered}\)The value of "x" is:
\(\begin{gathered} 2x=\frac{\pi}{3}+2\pi n \\ \\ x=\frac{\pi}{2\times3}+\frac{2\pi n}{2} \\ \\ x=\frac{\pi}{6}+\pi n \end{gathered}\)Another value of "x" is:
\(\begin{gathered} 2x=\frac{5\pi}{3}+2\pi n \\ \\ x=\frac{5\pi}{3\times2}+\frac{2\pi n}{2} \\ \\ x=\frac{5\pi}{6}+\pi n \end{gathered}\)So, the answer is:
\(x=\frac{\pi}{6}+\pi n,\frac{5\pi}{6}+\pi n\)The lifespans of lions in a particular zoo are normally distributed. The average lion lives 12. 5 years and the standard deviation is 2. 4 years.
Use the empirical rule (68-95-99. 7%) to estimate the probability of a lion living more than 10. 1 years.
The probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).
To use the empirical rule, we first need to convert the value of 10.1 years into a z-score:
z = (x - μ) / σ
where x is the value we want to find the probability for, μ is the mean, and σ is the standard deviation.
z = (10.1 - 12.5) / 2.4
z = -1.00
Using the empirical rule, we know that approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean
Since we want to estimate the probability of a lion living more than 10.1 years, we need to find the area under the normal curve to the right of this value. This is equivalent to finding the area to the left of the z-score of -1.00 (since the standard normal distribution is symmetric).
From a standard normal distribution table or calculator, we can find that the area to the left of z = -1.00 is approximately 0.1587.
Therefore, the probability of a lion living more than 10.1 years is approximately 1 - 0.1587 = 0.8413, or 84.13% (rounded to the nearest hundredth).
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Find the volume of this sphere.
Use 3 for TT.
¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿???????????????
Very sry to tell that I really don't know it...
TS
Not everyone pays the same price for
the same model of a car. The figure
illustrates a normal distribution for the
prices paid for a particular model of a
new car
99. 7%
95%
188%
nber of Car Buyers
What is the standard deviation: $
Enter your answer in the answer box.
The standard deviation for the prices paid for this particular model of car is $6,250.
How do pay within three standard deviations?Based on the figure you provided, we know that the data is normally distributed and approximately 68% of car buyers pay within one standard deviation of the mean, approximately 95% pay within two standard deviations, and approximately 99.7% pay within three standard deviations.
Since we know that 95% of the prices paid fall within two standard deviations of the mean, we can say that the distance between the mean and the upper or lower limit of this range is equal to two standard deviations. This is also known as the "95% confidence interval."
Therefore, to find the standard deviation, we can calculate the distance between the mean and either the upper or lower limit of the 95% confidence interval and then divide it by two.
From the figure, we can see that the 95% confidence interval extends from approximately $23,500 to $48,500. The midpoint of this interval is approximately $36,000, which we can take as the mean.
So, the distance between the mean and either end of the 95% confidence interval is:
$48,500 - $36,000 = $12,500
Dividing this by two gives us the standard deviation:
$12,500 / 2 = $6,250
Therefore, the standard deviation for the prices paid for this particular model of car is $6,250.
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what is the sum of the first five terms in this series?(picture of problem below)
Provided information:
We know the first 4th terms of the series:
\(6,-\frac{6}{3},\frac{6}{9},-\frac{6}{27}\)We can express this series in summation notation as:
\(\sum_{i\mathop{=}1}^n\frac{6}{(-3)^{i-1}}\)Therefore, the 5th term of the series is:
\(\frac{6}{(-3)^{5-1}}=\frac{6}{(-3)^4}=\frac{6}{81}\)Now, we have to add the first five terms:
\(6+(-\frac{6}{3})+\frac{6}{9}+(-\frac{6}{27})+\frac{6}{81}\)The next step is to convert all fractions to have the same denominator, so:
\(\begin{gathered} 1st:6*\frac{81}{81}=\frac{486}{81} \\ 2nd:-\frac{6}{3}*\frac{27}{27}=-\frac{162}{81} \\ 3rd:\frac{6}{9}*\frac{9}{9}=\frac{54}{81} \\ 4th:-\frac{6}{27}*\frac{3}{3}=-\frac{18}{81} \end{gathered}\)Now, they have the same denominator, it remains the same and we just need to add the numerators:
\(\frac{486-162+54-18+6}{81}=\frac{366}{81}\)And now, let's simplify the fraction by dividing the numerator and denominator by 3:
\(\frac{\frac{366}{3}}{\frac{81}{3}}=\frac{122}{27}\)The answer is A. 122/27
how should a firm record an impairment in the value of property, plant, or equipment?
A firm should record an impairment in the value of property, plant, or equipment by reducing the carrying amount of the asset and recognizing the impairment loss as an expense in the financial statements.
When the value of property, plant, or equipment is impaired, meaning its recoverable amount is lower than its carrying amount, a firm should recognize this impairment in its financial statements. The impairment is recorded by reducing the carrying amount of the asset to its recoverable amount, which is the higher of its fair value less costs to sell or its value in use. The difference between the carrying amount and the recoverable amount is recognized as an impairment loss and recorded as an expense in the income statement. This adjustment reflects the decrease in the value of the asset and allows the firm to accurately report its financial position and performance.
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graph the equation y=4(x+6)(x+4)
Answer: I posted a picture
Step-by-step explanation:
After school, Maya and Naomi headed to the beach, 6 miles away. Maya decided to bike while Naomi took a bus. The graph below shows their journeys, indicating the time and distance traveled. What was the difference, in miles per hour, between Naomi's and Maya's average speeds?
Answer:
24
Step-by-step explanation:
You take the end points for the graphs and ignore the bumpy areas since it is taking the average and that is irrelevant to the question. naomi is 6 m/10 min which is 36 mph and maya is 12 mph. 36-12=24.
Answer:
Step-by-step explanation:
a fair bet is a: wager entered into with honesty and concern for the welfare of the other party. gamble that provides net gains to all participants so there is no loser. wager entered into when the rules are clear to all participants. gamble that, on average, will leave a person with the same amount of money.
Answer:gamble that,on average,will leave a person with the same amount of money.
Step-by-step explanation:
The driver of a truck loaded with 900 boxes of books will be fined if the total weight of the boxes exceeds 37,350 pounds. If the distribution of the weight of a box has a mean of 41.1 pounds and a standard deviation of 6 pounds, find the approximate probability that the driver will be fined.
The approximate probability that the driver will be fined is 0.25.
If the driver of a truck loaded with 900 boxes of books will be fined if the total weight of the boxes exceeds 37,350 pounds, then the weight of each box of book must not exceed 41.5 pounds.
37,350 pounds / 900 boxes = 41.5 pounds
Suppose that distribution of the weight is a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 41.5
μ = mean = 41.1
σ = standard deviation = 6
z-score = (41.5 - 41.1) / 6
z-score = (0.4) / 6
z-score = 0.06667
Find the probability that corresponds to the z-score in the z-table. (see attached images)
at z = 0.06667, p = 0.7472
Since the fine will be given if the load exceeds 41.5, we have to consider the values greater than 41.5. Subtract the answer from 1.
probability = 1 - 0.7472 = 0.25
Hence, the approximate probability that the driver will be fined is 0.25.
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find an equation of the plane through the point (-1, 5, -1) and parallel to the plane −2x 2y 2z=4. do this problem in the standard way or webwork may not recognize a correct answer
The equation of the plane through the point (-1, 5, -1) and parallel to the plane -2x + 2y + 2z = 4 is -2x + 2y + 2z = 16.
Find the normal vector of the given plane by extracting the coefficients of x, y, and z and putting them into a vector:
Normal vector = <-2, 2, 2>
Use the normal vector to write the equation of the plane in point-normal form, where (x, y, z) represents any point on the plane:
(-2)(x - a) + 2(y - b) + 2(z - c) = 0, where (a, b, c) is the point (-1, 5, -1) on the plane.
Substitute the values of (a, b, c) and simplify:
(-2)(x + 1) + 2(y - 5) + 2(z + 1) = 0
Simplify the equation to get it in the standard form Ax + By + Cz = D:
-2x + 2y + 2z = 16
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Jackson is trying to find the density, in g/cm³, of a block of wood. The block of wood is in the shape of a cuboid. He measures the length as 13.2 cm, correct to the nearest mm the width as 16.0 cm, correct to the nearest mm the height as 21.7 cm, correct to the nearest mm He measures the mass as 1970 g, correct to the nearest 5 g. By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy.
Answer:is tht suga
Step-by-step explanation:
The graph below represents the water path of a fire hose.
Fire Hose Water Path
15
10
15 20 20
Hortzontal Destine)
Part B: What is the x-intercept and what does the x-intercept of the graph represent in terms of the water
spray? Use specific information about the coordinates of the x-intercept in your answer.
PLEASE HELP IMMEDIATLEY ILL MARK U AS BRAINLIEST
Step-by-step explanation:
The x intercept is 42.
The 42 tells us where the water coming from the hose is touching the ground.
It takes 6 hours to drive 342 mi. He will drive for 8 hours tomorrow. if he drives at the same rate, how far will Aron drive in 8 hours?
Answer:
456 miles
Step-by-step explanation:
We can use proportions to solve
342 miles x miles
------------ = --------------
6 hours 8 hours
Using cross products
342 * 8 = 6x
2736 = 6x
Divide by 6
2736/6 = x
456 miles
Answer:
Aron will drive 456 miles in 8 hours
Step-by-step explanation:
set up as proportion and cross multiply to solve:
6 hours/342 miles = 8 hours/x
x = 456
A major television manufacturer has determined that its 50-inch LED televisions have a mean service life that can be modeled Page by a normal distribution with a mean of six years and a standard deviation of one-half year. a. What probability can you assign to service lives of at least (1) five years? (2) Six years? (3) Seven and one-half years? b. If the manufacturer offers service contracts of four years on these televisions, what percentage can be expected to fail from wear-out during the service period? c. What service period would achieve an expected wear-out rate of (1) 2 percent? (2) 5 percent?
a. To determine the probabilities associated with different service lives, we can use the properties of the normal distribution. Given that the mean service life is six years with a standard deviation of one-half year, we can calculate the probabilities as follows:
(1) Probability of service lives of at least five years:
We need to calculate the area under the normal curve to the right of five years. Using the Z-score formula, we find the Z-score corresponding to five years: Z = (5 - 6) / 0.5 = -2. We can then look up the corresponding probability in a standard normal distribution table or use statistical software to find the probability associated with a Z-score of -2. This gives us the probability of service lives of at least five years.
(2) Probability of service lives of exactly six years: Since the service life follows a normal distribution, the probability of exactly six years is zero since it is a continuous distribution. We can assign a very small positive probability to approximate "exactly" six years. (3) Probability of service lives of seven and one-half years: Similarly, we calculate the Z-score corresponding to seven and one-half years: Z = (7.5 - 6) / 0.5 = 3. We find the probability associated with a Z-score of 3 to determine the probability of service lives of seven and one-half years or longer. b. If the manufacturer offers service contracts of four years, we want to find the percentage of televisions that fail from wear-out during this period. We can calculate this by finding the area under the normal curve to the left of four years. Using the Z-score formula, we find the Z-score corresponding to four years: Z = (4 - 6) / 0.5 = -4. The corresponding probability gives us the percentage of televisions expected to fail during the four-year service period.
c. To achieve an expected wear-out rate of 2 percent or 5 percent, we need to determine the service period corresponding to these rates. We can use the Z-score formula in reverse to find the Z-score that corresponds to the desired wear-out rate. From there, we can calculate the corresponding service period by rearranging the Z-score formula and substituting the desired wear-out rate and the given mean and standard deviation values.
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Line l will be graphed on the same coodinate grid. The only solution to the system of linear equations formed by lines k and l is (4/3,0). Whitch equation could represent line l. A y=3/4x B y= x+4/3 C y= -3/4x+1 D y= -3/4x+4
Answer:
C
Step-by-step explanation:
1. Plot each equation + (4/3,0)
How do I solve this inequality?
*PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST*
Write an expression equivalent to 3n2 + 12n that is a product of two expressions.
Enter numbers, variables, or expressions in the boxes.
Answer:
3n(n + 4) = 0
n = 0, -4
Step-by-step explanation:
3n(n + 4) = 0
3n = 0
n = 0
n + 4 = 0
n = -4
Answer:
Step-by-step explanation:
3n2 + 12n factors into (3n)(n + 4n).
Water has a density of about 0.0361 pounds/cubic inch. you might know that wood floats on water. what can you conclude about the densities of objects that float and the densities of objects that do not? review your results from parts b and c before deciding.
Objects that float typically have densities less than or equal to the density of the liquid they are placed in, while objects that do not float have densities greater than the density of the liquid.
The principle behind floating and sinking lies in the concept of density. Density is defined as the mass of an object divided by its volume. When an object is placed in a liquid, such as water, it experiences an upward buoyant force equal to the weight of the liquid it displaces.
If the density of the object is less than the density of the liquid, the buoyant force will be greater than the weight of the object, causing it to float. In the case of wood floating on water, wood has a lower density than water, allowing it to float.
On the other hand, if the density of an object is greater than the density of the liquid, the buoyant force will be less than the weight of the object, causing it to sink. Objects with densities higher than that of water will sink in water because their weight exceeds the buoyant force exerted by the water.
Based on the given information about water's density, which is approximately 0.0361 pounds/cubic inch, we can conclude that objects with densities less than or equal to 0.0361 pounds/cubic inch will float on water, while objects with densities greater than 0.0361 pounds/cubic inch will sink.
In summary, the densities of objects that float are generally less than or equal to the density of the liquid they are placed in, while objects that do not float have densities greater than the density of the liquid.
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the chemical ________ can be used to trace the paths of afferent axons.
The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."
Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.
The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.
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