By dividing the angle of rotation by the duration of one rotation, the angular velocity of the Earth around its axis can be determined. The time it takes the Earth to complete one full rotation, which is equivalent to 360 degrees or 2 radians, is roughly 24 hours.
Angle change divided by time change equals angular velocity (v), as follows:
ω = θ / t
We can substitute the following values into the equation since the Earth completes one rotation every 24 hours:2 radians each day equals.
By multiplying by 3600 (the amount of seconds in an hour), we may convert the time from hours to seconds:
2 radians are equal to (24 hours * 3600 seconds/hour)
Condensing the equation:
learn more about angular here :
https://brainly.com/question/15487308
#SPJ11
need help can’t figure it out!
Answer:
Step-by-step explanation:
This is a trick question, about the red marks again. those marks are important b/c they tell you that the lengths are the same, so that the angles MUST also be the same. That is , D and E are equal
so set up your equations with that info
180 = 84 +2p
now use your algebra skillz to solve
180-84 / 2 = p
96/2 = p
48 = p
see??
If a translation of (x,y) → (X + 6, 7-10) is applied to figure
ABCD, what are the coordinates of D'?
A
B
2
(-5, -2)
(1, -12)
(4, -15)
0 (-9,-6)
3
2
4
D
c
Save and Exit
Next
Submit
Mark this and return
Pls Pls help me it’s rlly important
Answer:
Please find attached the required graph created with Microsoft Excel
4. The solution is x = -1, y = -2
5. Both equations represent the same line and the system of equation has Infinitely many solutions
6. The system of equation represent two parallel lines, therefore, the system of equation has no solutions
Step-by-step explanation:
4. The given system of equation are;
y = -3·x - 5...(1)
y = 9·x + 7...(2)
Equating both values of y from the two equations, gives;
9·x + 7 = -3·x - 5
12·x = -5 - 7 = -12
x = -12/12 = -1
x = -1
y = 9·x + 7 = 9 × (-1) + 7 = -2
y = -2
5. y = -2·x - 5...(1)
6·x + 3·y = -15...(2)
Substituting the value of 'y' from equation (1) in equation (2), gives;
6·x + 3·y = 6·x + 3 × (-2·x - 5) = -15 = -15
Therefore, equations (1) and (2) are the same and has infinitely many solutions
6. y = -4·x + 3
8·x + 2·y = 8
Substituting the value of 'y' from equation (1) in equation (2), gives;
8·x + 2·y = 8·x + 2×(-4·x + 3) = 6
However, 8·x + 2·y = 8, therefore, equations (1) and (2) do not intersect and they have no common solution.
Multiply: (5.8 x 10^-6) x (2 x 10^4). Write answer in scientific notation.
Answer: 1.16 x 10 ^-1
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
the radius of the sphere is 10 units. what is the approximate volume of the sphere? use and round to the nearest whole cubic unit. 42 cubic units 126
The volume of a sphere with radius 10 units was found to be approximately 42 cubic units.
The volume of a sphere can be calculated using the formula:
V = (4/3) * π * r^3
Where, r is the radius of the sphere. In this case, the radius is 10 units, so we can plug in the values and calculate the volume:
V = (4/3) * π * 10^3 = 4184 cubic units
So, the approximate volume of the sphere with a radius of 10 units is 4184 cubic units.
Rounding off to the nearest whole cubic unit, 4184 cubic units becomes 42 cubic units.
Volume of a sphere is the amount of space inside a sphere.
Learn more about volume here brainly.com/question/28058531
#SPJ4
Mai drove 355 miles using 17 gallons of gas. At this rate, how many gallons of gas would she need to drive 284 miles?
Answer: We can use a proportion to solve the problem:
17 gallons / 355 miles = x gallons / 284 miles
Cross-multiplying, we get:
17 * 284 = 355 * x
4844 = 355x
x = 13.66 (rounded to two decimal places)
Therefore, Mai would need approximately 13.66 gallons of gas to drive 284 miles at the same rate.
Step-by-step explanation:
\( \frac{3}{4} \times 2 \frac{2}{9} - \frac{2}{3} \)
Answer:
\(1\)Step-by-step explanation:
\( \frac{3}{4} \times 2 \frac{2}{9} - \frac{2}{3} \)\( \frac{3}{4} \times (2 + \frac{2}{9}) - \frac{2}{3} \)\( \frac{3}{4} \times \frac{20}{9} - \frac{2}{3} \)\( \frac{3}{4} \times \frac{20}{3(3)} - \frac{2}{3} \)\( \frac{1}{4} \times \frac{20}{3} - \frac{2}{3} \)\( \frac{1}{4} \times \frac{4 \times 5}{3} - \frac{2}{3} \)\( \frac{5}{3} - \frac{2}{3} \)\( \frac{5 - 2}{3} \)\( \frac{3}{3} \)\(1\)
Hope it is helpful....what is 5+5x62 divided by 2
Answer:
the answer is 310
Step-by-step explanation: 5+5 = 10 and 10 x62= 620
620 divided by 2 = 310
Answer:
160
Step-by-step explanation:
5+5x62 divided by 2
5+(5x62) divided by 2
5+310 divided by 2
5+ 155=
160
how do the results compare to your hypothesis? explain why your hypothesis was or was not supported by the results.
To compare result to hypothesis, we will start by providing the key result from the each model and then compare and contrast them.
A hypothesis is usually a prediction based on some evidence. Hypothesis must be tested and once tested they can be supported by evidence if a statement is made that cannot be tested or disproof then it is not hypothesis
To compare we will start by providing the key result from the each model and then compare and contrast them then you can then provide any interpretation or future direction to some of the comparison
To prove or disprove your hypothesis you need to be able to do an experiment and take that measurement or make observation to see how two things are related
If you have hypothesis is not supported by the result of the experiment you should really realize the data in order to figure out why your result disprove your hypothesis
You should not alter the observation or experiment so that you reserve proof your hypothesis
To know more about Hypothesis here
https://brainly.com/question/17173491
#SPJ4
What is the volume of this rectangular prism below?
The volume of this rectangular prism is [a] cubic centimeters.
______________
Answer:
225 cm³
Step-by-step explanation:
Volume of a prism = base area × height
The volume of this prism
\( = 5 \times 5 \times 9\)
\( = 225\)
Answer:
225 cu cm ^3
Step-by-step explanation:
can i be brainliest?
Factor 6d2−21d...The factored polynomial is _
Answer:
Then find the product of the common prime factors. 42 = 2 ⋅3 ⋅7. 70 = 2 ⋅5 ⋅7 ... 6d2 − 21d. 27. 3y3 − 9y2. 28. 20x3 + 30x2. 29.
Introduction to Probability
Please show all work
Suppose you are taking an exam that only includes multiple choice questions. Each question has four possible choices and only one of them is correct answer per question. Questions are not related to the material you know, so you guess the answer randomly in the order of questions written and independently. The probability that you will answer at most one correct answer among five questions is
The probability of guessing the correct answer for each question is 1/4, while the probability of guessing incorrectly is 3/4.
To calculate the probability of answering at most one correct answer, we need to consider two cases: answering zero correct answers and answering one correct answer.
For the case of answering zero correct answers, the probability can be calculated as (3/4)^5, as there are five independent attempts to answer incorrectly.
For the case of answering one correct answer, we have to consider the probability of guessing the correct answer on one question and incorrectly guessing the rest. Since there are five questions, the probability for this case is 5 * (1/4) * (3/4)^4.
To obtain the probability of answering at most one correct answer, we sum up the probabilities of the two cases:
Probability = (3/4)^5 + 5 * (1/4) * (3/4)^4.
Therefore, by calculating this expression, you can determine the probability of answering at most one correct answer among five questions when guessing randomly.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
Q2.
Find the number that is exactly half way between -4 and 10
Answer:
3
Step-by-step explanation:
An assembly line with 10 tasks needs be designed. The total time for all tasks is 22 minutes. If you need to produce 30 units/hour, how many minimum work stations will be needed?
A. 8
B. 9
C.10
D.11
The correct answer is option C, 10 workstations.
How 10 workstations will be needed?Let's start by finding the time required to complete each unit:
Time per unit = Total time for all tasks / Number of units
= 22 minutes / 30 units/hour
= 0.733 minutes/unit
Next, we need to determine the cycle time, which is the time between the start of two consecutive units. Since we need to produce 30 units per hour, we can calculate the cycle time as:
Cycle time = 60 minutes / 30 units
= 2 minutes/unit
Now, we need to allocate the 10 tasks into workstations in a way that minimizes the number of workstations required. To do this, we can use the largest task time heuristic, which involves assigning tasks to workstations in order of their longest task time.
Using this method, we get the following allocation:
Workstation 1: Task 1 (2.2 minutes)
Workstation 2: Task 2 (1.8 minutes)
Workstation 3: Task 3 (2.2 minutes)
Workstation 4: Task 4 (1.8 minutes)
Workstation 5: Task 5 (2.2 minutes)
Workstation 6: Task 6 (1.8 minutes)
Workstation 7: Task 7 (2.2 minutes)
Workstation 8: Task 8 (1.8 minutes)
Workstation 9: Task 9 (2.2 minutes)
Workstation 10: Task 10 (1.8 minutes)
The total cycle time for this allocation is 2.2 minutes, which is greater than the target cycle time of 2 minutes. Therefore, we need to add one more workstation to reduce the cycle time. We can allocate the tasks as follows:
Workstation 1: Task 1 (2.2 minutes)
Workstation 2: Task 2 (1.8 minutes)
Workstation 3: Task 3 (2.2 minutes)
Workstation 4: Task 4 (1.8 minutes)
Workstation 5: Task 5 (2.2 minutes)
Workstation 6: Task 6 (1.8 minutes)
Workstation 7: Task 7 (2.2 minutes)
Workstation 8: Task 8 (1.8 minutes)
Workstation 9: Task 9 (1.8 minutes)
Workstation 10: Task 10 (2.2 minutes)
The total cycle time for this allocation is 2 minutes, which meets our target cycle time. Therefore, we need a minimum of 10 workstations to produce 30 units per hour.
So, the correct answer is option C, 10 workstations.
Learn more about workstations
brainly.com/question/13085870
#SPJ11
write the formula that shows the dependence of the surface area s of a cube on the lenfth of a an edge
The surface area S of a cube is directly proportional to the square of the length of one of its edges (S = 6a^2).
A cube has six equal square faces, so to find the surface area of a cube, we need to find the area of one of its faces and then multiply it by six. The area of a square is given by the formula A = s^2, where s is the length of one of its sides. Therefore, the area of one face of a cube is A = a^2, where a is the length of one of its edges.
To find the surface area S of the cube, we can simply multiply the area of one face by six: S = 6a^2. This formula shows that the surface area of a cube is directly proportional to the square of the length of one of its edges. If the length of the edge is doubled, for example, the surface area will be quadrupled (2^2 x 6a^2 = 4 x 6a^2)
Therefore, The surface area S of a cube is directly proportional to the square of the length of one of its edges (S = 6a^2).
To learn more about surface area here:
brainly.com/question/13789496#
#SPJ11
If a1 = 4 and an = -3an-1 - 4 then find the value of a3
The 3rd term in the given sequence is 45
What is sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given that, first and nth term of a sequence a₁ = 4 and aₙ = 3aₙ₋₁ + n
a₁ = 4
aₙ = 3aₙ₋₁ + n
So, a₂ = 3a₂₋₁ + 2
= 3a₁ + 2
= 3×4+2
= 14
Therefore,
a₃ = 3a₋₁ + 3
= 3a₂ + 3
= 14×3+3
= 45
Hence, a₃ = 45
Learn more about sequences, click;
https://brainly.com/question/21961097
#SPJ1
The function, f(x) = e^-x can be used to generate the following table of unequally spaced data: Evaluate the integral from a=0 b=1.2 using (a) analytical rule, (b) the trapezoidal rule, and (c) a combination of the trapezoidal and Simpson's rules: employ Simpson's rules (1/3, 3/8) wherever possible to obtain the highest accuracy. For (b) and (c) compute the percent relative error.
If the function is f(x) = e^-x, then integral from a=0 b=1.2 using,
(a) Analytical Rule: 0.6442176816
(b) Trapezoidal Rule: 0.6393844344, with a percent relative error of 0.7488%
(c) Combination of Trapezoidal and Simpson's Rules: 0.6442172275, with a percent relative error of 0.0000708%
To evaluate the integral from a=0 to b=1.2 of f(x) = e^(-x), we can use the following methods
(a) Analytical Rule
The integral of f(x) from a to b is given by F(b) - F(a), where F(x) is the antiderivative of f(x). The antiderivative of f(x) is -e^(-x). Therefore, the integral from 0 to 1.2 is
F(1.2) - F(0) = -e^(-1.2) - (-e^(0)) = 0.6442176816.
(b) Trapezoidal Rule:
Using the trapezoidal rule with 3 intervals, we get:
h = (1.2 - 0)/3 = 0.4
integral = h/2 × (f(0) + 2f(0.4) + 2f(0.8) + f(1.2))
integral = 0.2 × (1 + 2e^(-0.4) + 2e^(-0.8) + e^(-1.2)) = 0.6393844344
The percent relative error is
(0.6442176816 - 0.6393844344|/0.6442176816) × 100% = 0.7488%
(c) Using the Simpson's 1/3 rule with one interval from 0 to 0.4, and the Simpson's 3/8 rule with two intervals from 0.4 to 1.2, we get
integral = (h/3 × (f(0) + 4f(0.2) + f(0.4))) + (3h/8 × (f(0.4) + 3f(0.6) + 3f(0.8) + f(1.0)) + h/3 × (f(1.0) + 4f(1.2) + f(1.2)))
integral = 0.2/3 × (1 + 4e^(-0.2) + e^(-0.4)) + 0.3/8 × (e^(-0.4) + 3e^(-0.6) + 3e^(-0.8) + e^(-1.0) + 3e^(-1.0) + 12e^(-1.2) + 3×e^(-1.2) + e^(-1.2)) = 0.6442172275
The percent relative error is
|0.6442176816 - 0.6442172275| / 0.6442176816 × 100% = 0.0000708%
Learn more about Trapezoidal Rule here
brainly.com/question/31418056
#SPJ4
The director wrote her back saying "women are not physiologically able to run marathon distances, and we wouldn't want to take the medical liability. That was ...
The director's response stating that "women are not physiologically able to run marathon distances" is factually incorrect and perpetuates a gender stereotype that has long been debunked.
Women are indeed physiologically capable of running marathon distances, and there is ample evidence to support this.
Numerous women have successfully completed marathons and have even achieved remarkable feats in long-distance running. In fact, women have been participating in marathons for many years and have demonstrated their physical capabilities and endurance in these events.
It is important to challenge and correct such misconceptions and stereotypes, as they undermine the achievements and abilities of women in sports. Women athletes have proven time and again that they can excel in long-distance running and other physically demanding activities.
Furthermore, it is essential to promote inclusivity and equal opportunities for all individuals, regardless of their gender, in sports and other domains. Upholding outdated and incorrect beliefs about gender-based limitations can hinder progress and perpetuate discrimination.
In conclusion, the director's response is based on inaccurate and outdated information. Women are physiologically capable of running marathon distances, and their achievements in long-distance running should be acknowledged and celebrated.
Learn more about Marathons here -: brainly.com/question/29938416
#SPJ11
10
14)
Which equation represents a proportional relationship?
1)
A)
3x
y =
4
3
B)
y =
C)
3x
y =
+ 1
D)
3
y =
+ 1
4x
Answer:
295275392
2864263924729
8639253925339
9739373027303
9283634828
293682537474(483
926338286328+
92632926282727
93739363825282
92362836273
9263935392628
9273926382639
926329638392
92639236926
92632863922
9273936
Is the answer C or D? Please explain as well so I can understand
Answer:
c
Step-by-step explanation:
i think it's correct and helping you
p = 923.2
p = -923.2
p = 74.8
p = -74.8
Answer:
\(\huge\boxed{\sf p = 932.2 \ millibars}\)
Step-by-step explanation:
\(\sf v(p) = 5.7\sqrt{998 - p} \\\\Given \ that \ v(p) = 49.3 m/s. Also \ Finding \ p\\\\49.3 = 5.7 \sqrt{998-p} \\\\Divide \ both \ sides \ by \ 5.7\\\\49.3 / 5.7 = \sqrt{998-p} \\\\8.649 = \sqrt{998-p} \\\\Square \ both \ sides\\\\74.8 = 998 - p\\\\p = 998 - 74.8\\\\p = 923.2\ millibars\\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Mark each vertex with a large dot. How many edges and vertices does this polygon
have?
The image attached with the solution represents the polygon with 12 edges and 12 vertices. The straight green line represents the edges and red circles represents the vertices in the polygon.
What is a polygon?
Simple polygons do not overlap one another. Mathematicians frequently define a polygon in accordance with their focus on the bounding polygonal networks of basic polygons. Star polygons as well as other self-intersecting polygons can be produced by allowing a polygonal border to cross over itself.A polygon is a more specific type of polytope that can have any amount of dimensions and is a 2-dimensional object. There are numerous further generalizations of polygons that are created for various uses.Every polygon has the same number of corners as sides. Every corner has a number of angles.The image attached with the solution represents the polygon with 12 edges and 12 vertices. The straight green line represents the edges and red circles represents the vertices.
Learn more about polygon here:
https://brainly.com/question/1592456
#SPJ9
Helpppppppnmeeeeeeee plsss I will give you brainliest
Answer:
5) Slope is 6/5
6) Slope is -3
7) Slope is 2/5
8) Slope is 2
Step-by-step explanation:
You're welcome :D
true or false, Inflation occurs in an economy when there's a reduction in the total amount of money.
Answer:
False.
Inflation occurs in an economy when there is an increase in the overall price level of goods and services over time. It is usually caused by factors such as an increase in the money supply, higher demand for goods and services, or a decrease in the supply of goods and services. Therefore, a reduction in the total amount of money in an economy would generally lead to deflation, which is the opposite of inflation.
2.
Which set of angle measures can be used to construct a triangle?
A. O 50°, 65°, 75°
B.
45°, 60°, 75°
C
45°, 650, 75°
DO 50°, 45°, 75°
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
C. $140
Step-by-step explanation:
Company C; $60 + ($20×4)
= 140
Answer:
Company C
Step-by-step explanation:
Sara ha $25,000 to buy cell phone and charger for her employee. She buy 38 phone for $640 each. Each charger cot $18. How much money will be left after he buy a many charger a poible?
The amount of money Sara will have left after she buy as many chargers as possible is $680
What is the amount of money Sara will have left after the purchase?Total amount of money Sara has = $25,000Cost of each phone = $640Number of phones = 38Cost of each charger = $18Number of chargers = xTotal amount of money Sara has = (Cost of each phone × Number of phones) + (Cost of each charger × Number of chargers)
25,000 = (640 × 38) + (18 × x)
25,000 = 24,320 + 18x
subtract 24,320 from both sides25,000 - 24,320 = 18x
680 = 18x
divide both sides by 18x = 680 / 18
x = 37.78 chargers
Approximately, 37 chargers
Amount of money left for charger = Total amount of money Sara has - (Cost of each phone × Number of phones)
= 25,000 - 24,320
= $680
In conclusion, the greatest possible number of chargers Sara can purchase is 37
Read more on cost:
https://brainly.com/question/2004396
#SPJ1
What about this one?
Answer:
108
Step-by-step explanation:
Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.
Which function has the graph shown below? *
a. f(x) = x² - 4
b. f(x) = x² + 4
c. f(x) = (x + 4)²
d. f(x) = (x - 4)² opps dont forget to change the sign
Answer:
C
Step-by-step explanation:
yeah-ya......... right?
a survey of 50 young professionals found that they spent an average of $19.31 when dining out, with a standard deviation of $12.11. can you conclude statistically that the population means is greater than $18.00?
We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.
Define hypothesis.A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). In a scientific setting, a hypothesis is a tested claim regarding the relationship between two or more variables or a hypothesized cause of an observed occurrence.
Given,
The formula for our hypothesis is
H₀ u< 18, which states that the population mean cannot be higher than $18.
H₁ u > 18 denotes that the average income of the population is higher than $18.
They spent an average of $19.31 when dining out, with a standard deviation of $12.11.
Using given values,
= 19.31 -18/12.11÷√50
= 0.764
Now,
n - 1 = 49
P(tₙ₋₁ > Test statistics)
P(t₄₉ > 0.764)
Using t distribution table,
= 0.224
We draw the conclusion that the population mean is not higher than $18 and do not reject the null hypothesis.
To learn more about hypothesis, visit:
https://brainly.com/question/13025783
#SPJ4