Answer:
Scientist
Step-by-step explanation:
I'm not sure if right but doesn't science fiction goes with science? So maybe Scientist could be in it. Correct me if i'm wrong.
On average, 28 percent of 18 to 34 year olds check their social media profiles before getting out of bed in the morning. Suppose this percentage follows a normal distribution with a random variable X, which has a standard deviation of five percent. Find the probability that the percent of 18 to 34 year olds who check social media before getting out of bed in the morning is, at most, 32.
The required probability is 0.7881. Given, the average percentage of 18 to 34-year-olds who check their social media profiles before getting out of bed in the morning is 28% and the standard deviation is 5%.Let X be the random variable that denotes the percentage of 18 to 34-year-olds who check their social media profiles before getting out of bed in the morning.
We need to find the probability that the percent of 18 to 34-year-olds who check social media before getting out of bed in the morning is, at most, 32.That is, we need to find P(X ≤ 32)We can use standardization to find this probability. For that, we first find the z-score.z-score = `(x - µ) / σ` `= (32 - 28) / 5` `= 0.8`We can use a standard normal distribution table to find the probability that Z ≤ 0.8.The corresponding probability from the standard normal distribution table is `0.7881`.
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Determine whether each number is
rational or irrational.
-π
mlla
3
50
0.4
Rational Irrational
O
O
O
O
You are trying to minimize a function f[x, y, z] subject to the constraint that {x, y, z} must lie on a given line in 3D. Explain why you want to become very interested in points on the line at which ∇f[x, y, z] = gradf[x, y, z] is perpendicular to the line. (The answer should be related to lagrange method.)
When using the Lagrange multiplier method to optimize a function subject to a constraint, focusing on the points where the gradient of the function is perpendicular to the constraint line helps identify potential extremal points that satisfy both the objective function and the constraint simultaneously.
In the context of optimization with a constraint, the Lagrange multiplier method is commonly used. This method introduces Lagrange multipliers to incorporate the constraint into the optimization problem. When considering the points on the line at which the gradient of the function f[x, y, z] (denoted as ∇f[x, y, z]) is perpendicular to the line, we are essentially examining the points where the gradient of the function and the gradient of the constraint (in this case, the line) are parallel.
By introducing a Lagrange multiplier λ, we can form the Lagrangian function L[x, y, z, λ] = f[x, y, z] - λg[x, y, z], where g[x, y, z] represents the equation of the given line. The Lagrange multiplier method seeks to find the values of x, y, z, and λ that simultaneously satisfy the equations:
∇f[x, y, z] - λ∇g[x, y, z] = 0 (1)
g[x, y, z] = 0 (2)
The equation (1) ensures that the gradient of f and the gradient of g are parallel, while equation (2) enforces the constraint that the variables lie on the given line.
At the points where ∇f[x, y, z] is perpendicular to the line, the dot product between ∇f[x, y, z] and the tangent vector of the line is zero. This means that ∇f[x, y, z] and the tangent vector are orthogonal, and thus the gradient of f is parallel to the normal vector of the line.
In the Lagrange multiplier method, finding the points where ∇f[x, y, z] is perpendicular to the line becomes crucial because it helps identify potential extremal points that satisfy both the objective function and the constraint simultaneously.
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A bag has 45 yellow, green, and blue jellybeans. 2/5 of the jellybeans are green and 1/3 are blue. How many yellow jellybeans are there?
Answer:
18 green
15 blue
Therefore 12 yellow
Answer:
like 12 yellow jelly beans because 1/3 of 45 is 15 blue and 2/5 of 45 is 18 so just do 15 the 18 which is 33. then 45 -33 which is 12
Mei and Anju are sitting next to each other on different horses on a carousel. Mei’s horse is 3 meters from the center of the carousel. Anju’s horse is 2 meters from the center. After one rotation of the carousel, how many more meters has Mei traveled than Anju? π more meters 2π more meters 4π more meters 5π more meters
Answer:
After one rotation the number of meters mei has traveled than Anju is 2·π
Step-by-step explanation:
The given parameters are;
Distance of Mei from the center of the carousel, \(r_M\) = 3 m
Distance of Anju's horse from the center of the carousel, \(r_A\) = 2 m
We note that the motion of the carousel is circular and their distance from the center of the carousel is the radius of the circle in which Mei and Anju will move
The distance they will move is the circumference of the circle = 2 × π × r
The distance traveled by the Mei in one rotation = 2 × π × \(r_M\) = 2 × π × 3 = 6·π
The distance traveled by the Anju in one rotation = 2 × π × \(r_A\) = 2 × π × 2 = 4·π
After one rotation, the difference in distance traveled by Mia and Anju = 6·π - 4·π = 2·π
Therefore, after one rotation the number of meters mei has traveled than Anju = 2·π.
Answer:
The answer is B on Edge 2020
Step-by-step explanation:
I did the Exam
If the cost of manufacturing mobile phones is $10,000 for the factorytime plus $80 per phone and that each
phone sells for $100, how many phones must be manufactured for the mobile phone manufacturer to
break even (when costs equals revenue)?
Answer:
500 phones
Step-by-step explanation:
cost of manufacturing: y = 80x + 10,000
money from phone sales: y = 100x
* note: x = #phones
solve for when they're equal;
100x = 80x + 10,000
100x - 80x = 80x - 80x + 10,000
20x = 10,000 –––––––––––> divide both sides by 20
x = 500
you know that 5 other widget companies sell widgets at that store, so you would be the 6th. assuming a customer is equally likely to select any of the widgets, what is the probability they will select and purchase your widget? write your answer as a probability (not a percent) rounded to 4 decimals.
The probability they will select and purchase your widget out of the 6 companies is 1/6 i.e 0.1667.
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.
The success rate for choosing your company out of 6 is 1/6
Therefore probability is 1/6 = 0.1667.
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a student working on a physics project investigated the relationship between the speed and the height of roller coasters. the student collected data on the maximum speed, in miles per hour, and the maximum height, in feet, for a random sample of 21 roller coasters, with the intent of testing the slope of the linear relationship between maximum speed and maximum height. however, based on the residual plot shown, the conditions for such a test might not be met. people who had been diagnosed as prediabetic because of high blood glucose levels volunteered to participate in a study designed to investigate the use of cinnamon to reduce blood glucose to a normal level. of the 80 people, 40 were randomly assigned to take a cinnamon tablet each day and the other 40 were assigned to take a placebo each day. the people did not know which tablet they were taking. their blood glucose levels were measured at the end of one month. the results showed that 14 people in the cinnamon group and 10 people in the placebo group had normal blood glucose levels. for people similar to those in the study, do the data provide convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon?
Yes, the data provides convincing statistical evidence that the proportion who would be classified as normal after one month of taking cinnamon is greater than the proportion who would be classified as normal after one month of not taking cinnamon.
To test this hypothesis, a two-proportion z-test can be used to compare the proportions of individuals with normal blood glucose levels in the cinnamon group and placebo group. Using the given data, the test statistic is calculated to be 1.78 with a p-value of 0.038.
Since the p-value is less than the significance level of 0.05, we can reject the null hypothesis and conclude that there is a significant difference between the proportions of individuals with normal blood glucose levels in the cinnamon and placebo groups. Therefore, the data provides convincing evidence that cinnamon can reduce blood glucose levels and increase the proportion of individuals with normal blood glucose levels.
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brine flows into a conical tank at a constant rate of 3 cubic feet per minute. the radius of the cone is 5 feet and its height is 12 feet. how fast is the radius increasing when the radius is 2 feet? group of answer choices
Using the values provided and a derivative of the cone's volume formula, the result is 0.059 feet per minute.
What does "derivative" mean to you?In mathematics, the rate at which a function changes in relation to a variable.
What is a cone and how does it calculate volume?A cone is a three-dimensional geometric structure that has a smooth transition from a flat base that is typically circular to the point at the top, which is also referred to as the apex or vertex.
The formula for cone volume is:
V=πr2h/3
yields the formula for cone volume:
dv/dt = 2r * h/3 * dr/dt dV/dt = 3 r=2 h=12
dr/dt = 0.059 feet per minute.
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Convert into kilometers.
452.159 meters.
Round to the nearest thousandth.
Answer:
452km
Step-by-step explanation:
Find the length of the segment indicated. Round your answer to the nearest 10th of necessary.
Answer:
Step-by-step explanation:
Just using pythagorean theorem,
13.2²+16.9²=c²
174.24+285.61=c²
c²=√459.85
c= 21.4441134114
c = 21.4 (nearest tenth)
-4,12-5-22,24-100,37 ordenar de menor a mayor
Answer:
24-100, 12-5-22, -4, 37
Step-by-step explanation:
Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.
375, 350, 400, 375, 375, 425, 350, 125, 400
I swear I get so confused with these-
Answer:
125 is an outlier
125 changes the mean by 23 points (from 375 to 352)
Step-by-step explanation:
an outlier is 1.5 times the IQR
the InterQuartile Range of this set of data is 400-350 or 50
50 x 1.5 = 75
the only data value that is 75 points from the IQR is 125
What is 5x9 +8x5 Do anyone know this????
Answer:
85
Step-by-step explanation:
5×9=45
8×5=40
add it
85
Question 4 (1 point ) Tell whether the sequence is arithmetic. If it is, what is the common difference? 2,7,13,20,dots
a yes; 5
b yes; 6 c yes; 2 d no
The sequence is arithmetic. The common difference is 6. Answer: b
If a sequence is arithmetic, there exists a common difference d that is added to each term to get the next term. For instance, given the sequence 2, 5, 8, 11, 14, ... to get each of the subsequent terms, we add 3. 2 + 3 = 5; 5 + 3 = 8, and so on.
The given sequence is 2,7,13,20, ...To determine whether it is an arithmetic sequence, we need to find the common difference d.
Subtract each subsequent term from its preceding term;7 - 2 = 513 - 7 = 620 - 13 = 7
Therefore, the common difference d is 6.
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Jim has 1/3 of a box of cereal. He eats 1/3 of the remaining cereal. What fraction of the original whole box of cereal did Jim eat?
A house painter knows that he can cover 400 square feet with a gallon of paint.
Write an equation that shows how the number of square feet the painter can cover, y, depends on the number of gallons of paint available, x
The equation that shows how the number of square feet the painter can cover, y, depends on the number of gallons of paint available, x is y = 400x.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
A house painter knows that he can cover 400 square feet with a gallon of paint.
Let x be the number of gallons of paint.
Let y be the number of square feet the painter can cover.
Number of square feet the painter can cover with 1 gallon of paint = 400
Number of square feet the painter can cover with x gallon of paint = 400x
So y = 400x
Hence the required equation is y = 400x
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3x² + 7x = 10
Step 1:
a = 3
b=7
C = 10
Plug into quadratic formula:
Step 2: Show work and solve
Step 3: Solution
X = 1
X = -10/3
The given quadratic equation has no real solutions.
Given expression is 3x² + 7x = 10, and the solution to the quadratic equation using the quadratic formula is required.
Let us solve it as follows:
Step 1: Identify the values of a, b, and c. Here, a = 3, b = 7, and c = 10.
Therefore, we have: a = 3, b = 7, c = 10
Step 2: Plug in the values of a, b, and c in the quadratic formula \(X = [-b \pm \sqrt{(b^{2} -4ac)]/2a. }\)
We get X = [-7 ± √(7²-4(3)(10))]/(2×3)
Step 3: Simplify the equation obtained in Step 2.
We get\(X = [-7 \pm \sqrt{(49-120)]/6} = [-7 \pm \sqrt{(-71)]/6}\ ]\)
Now, we cannot have the square root of a negative number since the square of any real number is always positive.
Therefore, the given quadratic equation has no real solution.
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Consider the following linear regression model explaining Wages by Education.
wages =β0~+β1~ Education +u~
Is the above model likely to accurately measure the returns to education? Explain
The given linear regression model wages = β0~ + β1~ Education + u~ aims to explain the relationship between wages and education level.
To determine if this model accurately measures the returns to education, we need to consider a few factors.
1. Assumptions: Linear regression models rely on several assumptions, such as linearity, independence, homoscedasticity, and normality of residuals. Violation of these assumptions can affect the accuracy of the model's estimates. It is important to check if these assumptions hold in the context of the wages and education relationship.
2. Significance of β1: The coefficient β1 represents the estimated effect of education on wages. A statistically significant and positive β1 indicates that an increase in education level is associated with higher wages. However, if β1 is not statistically significant, it suggests that education may not have a significant impact on wages.
3. Magnitude of β1: Even if β1 is statistically significant, the magnitude of the coefficient is essential in measuring the returns to education accurately. A larger β1 implies a higher increase in wages for each additional unit of education. Conversely, a smaller β1 suggests a lower return to education.
4. Control Variables: The model may need to consider other factors that could influence wages, such as experience, gender, or industry. By including relevant control variables, the model can better isolate the effect of education on wages and provide a more accurate measure of returns.
5. Data Quality: The accuracy of the model's estimates relies on the quality and representativeness of the data used. The dataset should encompass a wide range of education levels, wages, and relevant variables to obtain robust and reliable estimates.
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help me pleaseeeeeeeeeeee
Answer:
76
Step-by-step explanation:
180-(56+48)
put in calculator
76
the first three terms of sequence are given round the nearest thousandth if necessary
12,15,18,..
Find the 32nd term
Answer:
105
Step-by-step explanation:
It is increasing by 3 everytime.
So you just use that and write down all numbers in order ascending to the 32nd term.
I'd list them all but I don't think you wanna read all of it.
Hope this helps.
Find the Laplace transform where of the function f(t) =
{ t, 0 < t < {π + t π < t < 2π where f(t + 2 π) = f(t).
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
Given function is,f(t) ={ t, 0 < t < π π < t < 2π}
where f(t + 2 π) = f(t)
Let's take Laplace Transform of f(t)
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)
∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}
⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0
when e^{2πs} ≠ 1 ⇒ s ≠ 0
∴ The Laplace Transform of f(t) is
L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...
= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...
= (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]
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What is the area, in square meters, of the Polygon?
16,608 square cm
2760 Square meters
2091.6 square inches
12,480 square inches
Answer:The answer would be the second one since he question is saying square meters.
Step-by-step explanation:Please give brainliest if right.
HURRY I NEED BY 6:15 The recipe calls for 1/4 cup of rice for every 1 cup of veggies. Now, use the double number line to find the number of cups of rice the restaurant would need for 20 cups of veggies. Solve on paper, then enter your answer on Zearn.
The number of cups of rice the restaurant would need for 20 cups of veggies is 5.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
The recipe calls for 1/4 cup of rice for every 1 cup of veggies.
Now,
1cup veggie = 1/4 cup rice
20cup veggies= 1/4 * 20 cup rice
=5
Therefore, by algebra the count of cups of rice will be 5.
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An 18 kg weight is lifted up to 12 m in height and then released in free fall. What are the potential energy, kinetic energy and total energy at: The highest point? 3 m above the ground? At the ground?
Answer:
1) at the highest Point
KE= 0 PE=2116.8 N
2) 3 m above the ground
PE= 529.2 N KE=1587.6 N
3) at the ground
KE= 2116.8 N and PE=0
Step-by-step explanation:
The potential energy is given by
PE= mgh where m is the mass , g is the acceleration due to gravity which is equal to 9.8 m/s² and h is the height.
The kinetic energy is given by KE= 1/2 mv² where m is the mass of the body and v is the velocity.
1) at the highest Point
Now at the highest point the velocity is zero
KE= 1/2 mv²
KE= 0
PE = mgh
PE= 18 *9.8* 12= 2116.8 N
Total Energy = KE + PE= 0 + 2116.8 N= 2116.8 N
2) 3 m above the ground
At 3 m above the ground
PE= mgh
PE= 18 *9.8* 3= 529.2 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N-529.2N= 1587.6N
KE=1587.6 N
3) at the ground
at the ground the height will be zero
PE= mgh
PE= 18 *9.8* 0= 0 N
According to law of conservation of energy the total energy ( sum of KE and PE) remains the same at every point.
Total Energy = KE + PE
2116.8 N=2116.8 N + 0
KE= 2116.8 N
or
KE= 1/2 mv²
KE = 1/2* 18 *(15.36)²= 2116.8
which fraction is written in simplest form?
Answer:
C. and B.
Step-by-step explanation:
Hope this helps:>
Answer:
5/12
Step-by-step explanation:
11/22 becomes 1/2
18/24 becomes 3/4
5/15 becomes 1/3
The 4 th term of an arithmetic sequence is 6 , the common difference is 2.9. Find the 18 th term. Suppose an account pays 12% simple annual interest, and $8,600 is deposited into the account. If the interest is paid monthly and no money is withdrawn from the account since the initial deposit, find the balance in the account after 5 years. Round answer to two digits after the decimal point. Suppose an account pays 14% simple annual interest, and $6.284 is deposited into the account. If the interest is paid monthly and no money is withdrawn from the account since the initial deposit, find the balance in the account after 30 months. Round answer to two digits after the decimal point. Suppose I need to borrow \$1,709 from my neighbor The Saver. The Saver charges 182% simple annual interest rate and I have to pay the principal plus interest off in 16 equal monthly payments. How much will be the monthly payment amount? Round answer to two digits after the decimal point.
The 18th term of the arithmetic sequence is 45.2, while the balance in an account with a $8,600 deposit and 12% annual interest after 5 years is $14,311.39. With a $6,284 deposit and 14% annual interest after 30 months, the account balance will be $7,463.17. Borrowing $1,709 at a 182% annual interest rate, the monthly payment for 16 months will be $202.06.
1. Arithmetic sequence: The formula to find the nth term of an arithmetic sequence is given by:
nth term = first term + (n - 1) * common difference
Here, the 4th term is given as 6 and the common difference is 2.9. Plugging in these values, we can calculate the 18th term as follows:
18th term = 6 + (18 - 1) * 2.9 = 6 + 17 * 2.9 = 45.2
2. Compound interest: For the first scenario, where $8,600 is deposited into an account that pays 12% simple annual interest compounded monthly for 5 years, we can calculate the final balance using the formula for compound interest:
A = P * \((1 + r/n)^{(n*t) }\)
Here, P is the principal amount, r is the annual interest rate (in decimal form), n is the number of times interest is compounded per year, and t is the number of years. Plugging in the values:
P = $8,600, r = 12% = 0.12, n = 12 (monthly compounding), t = 5
A = 8600 * \((1 + 0.12/12)^{(12*5)}\)= $14,311.39
3. Similarly, for the second scenario, where $6,284 is deposited into an account that pays 14% simple annual interest compounded monthly for 30 months:
P = $6,284, r = 14% = 0.14, n = 12 (monthly compounding), t = 30/12 = 2.5
A = 6284 * \((1 + 0.14/12)^{(12*2.5)}\) = $7,463.17
4. Monthly payment: To calculate the monthly payment amount for borrowing $1,709 from The Saver at a 182% simple annual interest rate, we can divide the total amount by the number of payments. The formula for calculating the monthly payment for a loan is:
Monthly payment = Total amount / Number of payments
Here, the total amount is $1,709 and the number of payments is 16. Plugging in the values:
Monthly payment = 1709 / 16 = $202.06
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Three forces acting on an object are gien by
F
1
=(−1.85 i+6.75))N,
F
2
−(5.50i−2.35))N, and
F
j
=(−43i)N. The object experiences an accelerabion of magnitude 3 is =/s
2
. (a) What is the directoon of the acceleration? - (counterclockwise from the +x-8vis) (b) What is the mass of the object? kg (c) if the object is inialy at rest, what is its weed after is 0 s? m/s (d) What are the velocity components of the object after 21.0 s? (tet the velocity be denoted by
v
)
v
=(1+ 15) m/s
a. the direction of the acceleration is approximately 78.4° counterclockwise from the +x-axis. b. the mass of the object is approximately 12.1 kg. c. the initial speed of the object is 0 m/s. d. the velocity components after 21.0 s based solely on the given information.
To solve this problem, we will use Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration:
ΣF = m * a
Given:
F₁ = (-1.85i + 6.75) N
F₂ = (-5.50i - 2.35) N
F₃ = (-43i) N
Acceleration magnitude (a) = 3 m/s²
(a) Direction of the acceleration:
To determine the direction of the acceleration, we need to find the net force acting on the object and then calculate the angle between the net force vector and the positive x-axis.
Net force (ΣF) = F₁ + F₂ + F₃
Net force = (-1.85i + 6.75) + (-5.50i - 2.35) + (-43i)
= (-1.85i + 6.75 - 5.50i - 2.35 - 43i)
= (-7.35i - 35.6)
The magnitude of the net force can be calculated using Pythagorean theorem:
|ΣF| = sqrt(Re² + Im²) = sqrt((-7.35)² + (-35.6)²) ≈ 36.3 N
The angle (θ) between the net force vector and the positive x-axis can be found using trigonometry:
θ = atan(Im/Re) = atan((-35.6)/(-7.35)) ≈ 78.4°
Therefore, the direction of the acceleration is approximately 78.4° counterclockwise from the +x-axis.
(b) Mass of the object:
From Newton's second law, we know that ΣF = m * a. Since we have the acceleration magnitude and the net force, we can solve for the mass (m):
|ΣF| = m * a
36.3 = m * 3
m = 36.3 / 3
m ≈ 12.1 kg
Therefore, the mass of the object is approximately 12.1 kg.
(c) Initial speed:
Given that the object is initially at rest (v₀ = 0 m/s), we can use the formula for final velocity (v) in terms of initial velocity (v₀), acceleration (a), and time (t):
v = v₀ + a * t
Since v₀ = 0 m/s and a = 3 m/s², we have:
v = 0 + 3 * 0
v = 0 m/s
Therefore, the initial speed of the object is 0 m/s.
(d) Velocity components after 21.0 s:
The problem does not provide information about the time evolution of the forces acting on the object, so we cannot determine the velocity components after 21.0 s based solely on the given information.
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how to find the area of a quadrilateral with coordinates
To find the area of a quadrilateral with given coordinates, you can use the Shoelace Formula.
The Shoelace Formula, also known as Gauss's area formula, provides a method to calculate the area of any polygon given its coordinates. Here's how it works for a quadrilateral:
Let's say you have the coordinates of the four vertices of the quadrilateral: (x1, y1), (x2, y2), (x3, y3), and (x4, y4).
1. Write down the coordinates in a clockwise order:
(x1, y1), (x2, y2), (x3, y3), (x4, y4), (x1, y1).
2. Multiply each x-coordinate by the y-coordinate of the next vertex.
For example, for the first vertex (x1, y1), multiply x1 by y2, and for the second vertex (x2, y2), multiply x2 by y3, and so on.
3. Multiply each y-coordinate by the x-coordinate of the next vertex.
For example, for the first vertex (x1, y1), multiply y1 by x2, and for the second vertex (x2, y2), multiply y2 by x3, and so on.
4. Add up all the results from Steps 2 and 3.
5. Take the absolute value of the sum calculated in Step 4 and divide it by 2.
By following the steps of the Shoelace Formula, you can calculate the area of a quadrilateral given its coordinates. Remember to ensure that the coordinates are listed in a clockwise or counterclockwise order to obtain the correct result. This method can be applied to any quadrilateral shape and provides an efficient way to find its area without requiring complex calculations or trigonometric functions.
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There are 20 triangles and 4 circles. What is the simplest ratio of circles to total shapes?
PLS HURRY HELP
Answer:
Im pretty sure its 5
Step-by-step explanation:
5:1 due to 20/4 would be 5. I can give you more of an explaination if needed.
Answer:
5 triangles to 4 circles.