The slope of the graph is 2, and the y-intercept is 7. Sketching the graph would show a line with a positive slope of 2, crossing the y-axis at the point (0, 7).
The slope of the graph, we can observe that the given equation is in the slope-intercept form y = mx + b, where m represents the slope and b represents the y-intercept. Comparing the equation y = 2x + 7 with the slope-intercept form, we can determine that the slope is 2.
To find the y-intercept, we can set x = 0 in the equation y = 2x + 7. By substituting x = 0, we get y = 2(0) + 7, which simplifies to y = 7. Therefore, the y-intercept is 7.
To sketch the graph, we can start by plotting the y-intercept point (0, 7). Since the slope is positive, we know the line will slant upwards. Using the slope, we can determine additional points on the graph. For example, if we move one unit to the right (x + 1), we move two units upwards (y + 2). Similarly, if we move two units to the right (x + 2), we move four units upwards (y + 4), and so on. By connecting these points, we can draw a straight line with a slope of 2 that passes through the y-intercept (0, 7).
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write 0.004 as a fraction in words.
Step-by-step explanation:
0.004 as a fraction is 1/250
one over two hundred and fifty
Answer:
one over Two hundred and fifty
Step-by-step explanation:
As we can see the 4 is 2 zeros away from the decimal point. This means that 4 must be in the thousandths place.
Therefore our answer is four thousandths.
Remember that we it is behind the decimal point, it becomes ths at the end.
To change this into a fraction we should get 4/1000 by taking the words literally.
Dividing both sides by 4 gives us 1/250
1/250 in words is one over Two hundred and fifty
I guess
Brainliest if helped
If n=20, use a significance level of 0.01 to find the critical value for the linear correlation coefficient r.
A. 0.575
B. 0.561
C. 0.444
D. 0.505
To find the critical value for the linear correlation coefficient r with n = 20 and a significance level of 0.01, we need to determine the correct value from the given options i.e.,: 0.505.
The critical value for the linear correlation coefficient r can be found using a table of critical values or a statistical software. The critical value represents the boundary beyond which the observed correlation coefficient would be considered statistically significant at the given significance level. Since the significance level is 0.01, we need to find the critical value that corresponds to an upper tail probability of 0.01. Among the given options, the correct critical value would be the smallest value that is larger than 0.01. Looking at the options provided, the correct critical value is D) 0.505, as it represents a value larger than 0.01. Therefore, 0.505 is the correct critical value for the linear correlation coefficient in this case.
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1a. Explain why chess is not a static game of complete information?
Chess is not a static game of complete information for several reasons. Firstly, the game is dynamic, meaning that the position of the pieces on the board changes constantly throughout the game.
Unlike in games like Tic Tac Toe or Connect Four, the state of the game at any given point is not fixed, and there are a vast number of possible outcomes. This means that players cannot simply memorize the best moves and outcomes for every situation, as they would in a game of complete information.
Secondly, chess is a game of imperfect information, as both players do not know what moves their opponent will make. Even with a complete understanding of the game's rules, players cannot predict with certainty the moves of their opponent, and must instead make strategic decisions based on their best assessment of their opponent's likely choices.
Finally, chess is a game of hidden information, as players do not know what their opponent is thinking or planning. A player may be able to predict their opponent's next move, but cannot know for sure what their long-term strategy is, making it difficult to make optimal decisions.
Overall, chess is a highly dynamic and complex game that is not static or complete in terms of information. Players must make strategic decisions based on incomplete and uncertain information, making it a challenging and rewarding game for those who play it.
Chess is a strategic board game played between two players, with each player starting with 16 pieces on a 64-square board. The game has been around for centuries and is considered one of the most popular and complex games in the world.
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Draw the angle 0=180 in standard position find the sin(0) and the cos(0)
Solution:
Angle of 180 degrees is shown in the diagram below;
Thus,
\(\begin{gathered} \sin(180^o)=0 \\ \\ \cos(180^o)=-1 \end{gathered}\)
you are selling tickets to a school play. students tickets cost 5.00 dollars and adults tickets cost 7.00. you sell a total of 125 tickets and collect 775.00 dollars. how many of each type of ticket did you sell? PLZ HELP SHOW WORK
Answer:adult tickets - 75 and student tickets - 50
Step-by-step explanation:
75x7=525 and 50x5=250, therefore 525+250=775
hope this helps
25 points) Every year, 20% of the residents of New York City move to Los Angeles, and 25% of the residents of Los Angeles move to New York. Suppose, for the sake of he problem, that the total populations are otherwise stable: that is, the change in the NYC population yearly is determined entirely by the number of residents moving to represent the number of residents of New York and LA, respectively. LA and the number moving from LA. Let (1) (a) (3 points) Write down a 2 x 2 matrix A so that A (1) outputs a 2-vector repre- senting the number of residents of New York and Los Angeles after one year. (b) (9 points) Diagonalize A: that is, find a diagonal matrix D and an invertible matrix X such that A = X-DX. (c) (5 points) Compute A4 using your diagonalization. (d) (8 points) Suppose there are initially 9 million residents of NYC and 9 million residents of LA. Find the steady state vector the populations of NYC and LA stabilize toward? (*): that is, as n + oo, what do
The steady state vector for the populations of New York City (NYC) and Los Angeles (LA) stabilizes towards [15 million, 15 million].
How do the populations of NYC and LA stabilize over time?In this problem, we can represent the populations of NYC and LA using a 2-vector [NYC, LA]. The given information states that every year, 20% of NYC residents move to LA, and 25% of LA residents move to NYC. To analyze the long-term population trends, we need to find the steady state vector, which represents the population distribution that remains unchanged over time.
To find the steady state vector, we can consider the population changes as matrix operations. Let A be the 2 x 2 matrix representing the yearly population changes. The first row of A will have the percentage of residents moving from NYC to NYC and LA, respectively, while the second row will have the percentage of residents moving from LA to NYC and LA, respectively. In this case, A is given by: A = [[0.8, 0.25],
[0.2, 0.75]]
To find the steady state vector, we need to diagonalize matrix A. Diagonalization involves finding a diagonal matrix D and an invertible matrix X such that \(A = XDX^(^-^1^)\). After diagonalization, the diagonal elements of D will represent the eigenvalues of A, while the columns of X will represent the corresponding eigenvectors.
By diagonalizing matrix A, we find that:
D = [[1, 0],
[0, 0.55]]
X = [[-0.993, -0.707],
[0.119, -0.707]]
To compute \(A^4\) using diagonalization, we can use the formula \(A^n\) = X D^n X^(-1). Since D is a diagonal matrix, raising it to the power of 4 is simply done by raising each diagonal element to the power of 4. Thus:
\(D^4 = [[1^4, 0]\),
\([0, (0.55)^4]] = [[1, 0],\)
[0, 0.0915]]
Now we can compute \(A^4:\)
\(A^4 = X D^4 X^(^-^1^)\)
By substituting the values of X, \(D^4\), and \(X^(^-^1^)\) into the equation, we get:
\(A^4 = [[0.8, 0.25],\)
\([0.2, 0.75]]^4 = [[0.816, 0.233],\)
[0.184, 0.767]]
After four years, the population distribution stabilizes towards [0.816, 0.233] for NYC and [0.184, 0.767] for LA. Considering the initial populations of 9 million for both NYC and LA, the steady state vector represents approximately [15 million, 15 million].
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Solve thi ytem of linear eqarion. Separate the x-and t-hirt value with a comma
2x=96-14y
9x=40-14y
The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.
Isolating x,
2x = 9x - 14y
2x-9x = 9x-9x -14y
-7x = -14y
-7x/-7 = -14y/-7
x = 2y
Therefore substituting value of x on equation 2,
9(2y) = 40 - 14y
18y = 40 - 14y
18y+14y = 40 -14y+14y
32y = 40
32y/32 = 40/32
y = 5/4
Therefore , x = 10/4 = 5/2
as because x =2y.
An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y
These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as because we can balance it by subtracting the right-hand side expression from the expressions on both sides.
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Can you help me plz right answer only
Answer:
20
Step-by-step explanation:
To solve this problem use proportions. The tree's proportion is equal to \(\frac{30}{40}\) and the shed's proportion is \(\frac{15}{x}\). These proportions are made by putting the height of the object over the length of the shadow. Then, cross multiply to find x. Do this by multiplying \(30 *x\) and \(40*15\). Next set these equal to each other, \(30x=600\). Finally, divide both sides by 30 to find x. This equals 20 feet.
13.10 − Let Mn be the maximum of n independent U(0,1) random variables. a. Derive the exact expression for P(∣Mn−1∣>ε). Hint: see Section 8.4. b. Show that limn→[infinity]P(∣Mn−1∣>ε)=0. Can this be derived from Chebyshev's inequality or the law of large numbers?
This can be derived using Chebyshev's inequality, as Chebyshev's inequality and the law of large numbers are different in nature.
Let M_n be the maximum of n independent U(0, 1) random variables.
To derive the exact expression for P(|M_n − 1| > ε), we need to follow the below steps:
First, we determine P(M_n ≤ 1-ε). The probability that all of the n variables are less than 1-ε is (1-ε)^n
So, P(M_n ≤ 1-ε) = (1-ε)^n
Similarly, we determine P(M_n ≥ 1+ε), which is equal to the probability that all the n variables are greater than 1+\epsilon
Hence, P(M_n ≥ 1+ε) = (1-ε)^n
Now we can write P(|M_n-1|>ε)=1-P(M_n≤1-ε)-P(M_n≥1+ε)
P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n.
Thus we have derived the exact expression for P(|M_n − 1| > ε) as P(|M_n-1|>ε) = 1 - (1-ε)^n - (1+ε)^n
Now, to show that $lim_{n\to\∞}$ P(|M_n - 1| > ε) = 0 , we can use Chebyshev's inequality which states that P(|X-\mu|>ε)≤{Var(X)/ε^2}
Chebyshev's inequality and the law of large numbers are different in nature as Chebyshev's inequality gives the upper bound for the probability of deviation of a random variable from its expected value. On the other hand, the law of large numbers provides information about how the sample mean approaches the population mean as the sample size increases.
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Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9
There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.
In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.
A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.
So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.
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Daniel had $30 to spend at the fair if she admission to the fair is $7 and the rides cost 1.50 each what is the greatest number of rides Daniel can go on write an inequality that represents Daniels situation. How many rides can Daniel go on?
Answer:
Daniel can go on 22 rides.
Step-by-step explanation:
Rodger put $1,000 in a bank account that pays 5% annual simple interest. At the end of four years, how much interest has he earned and what is the balance of his account
Answer: He has earned $200 interest and the balance of his account is $1,200.
Step-by-step explanation:
Given: Principal : P = $1,000
Simple interest rate : r = 5% = 0.05
Time: t = 4 years
Simple interest = \(Prt\)
\(=1000\times0.05\times4=200\)
i.e. Simple interest = $200
Balance of account = Principal + Simple interest
= $1,000 + $200
= $1,200
Hence, he has earned $200 interest and the balance of his account is $1,200.
Adam bought note pads at a 1.45 each and 10 towels he gave the cashier $100 and received $46 change find the cost of the towel
A piece of manufacturing equipment can produce enough items to fill an order
in 10 hours. If an auxiliary piece of equipment is used also, it will take 7 hours
How long would it take the auxiliary equipment to fill the order working alone
It take the auxiliary equipment to fill the order working alone x is 70/3
How long would it take?Formulate based on the conditions stated:
10 * x/(10+x) = 7
In a defined fraction, the denominator cannot be zero.
10+x is not equal 0
Equation from inequality:
10+x=0
Unknown terms should be moved to the left side of the equation:
x = -10
Equation to inequality conversion
x is not equal to 10
As the domain, append the inequality:x is not equal to 10
Divide the common denominator by both sides of the equation:
10x(10+x)/10+x = 7(10+x)
Cut the fractions in half:
10x = 7(10+x)
Use the law of multiplicative distribution
10x = 70 +7x
Unknown terms should be moved to the left side of the equation:
10x-7x=70
combining similar terms 3x =70
Subtract the coefficient of the variable from both sides of the equation:
x = 70/3
the intersection, then: 70/3
get the outcome:x = 70/3
It take the auxiliary equipment to fill the order working alone x is 70/3
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The side lengths 5, 12, and 13 are called a Pythagorean Triple. What is so special about these three side lengths
The 13 has a "3" in it.
This triple is special because it contains two prime numbers.
The longest side is just one unit longer than the middle side.
They are positive integers that form a right triangle.
Answer:
D
Step-by-step explanation:
Only way you apply Pythagoras is if the triangle is a right triangle. it won't work anyway else
Two augmented matrices for two linear systems in the variables x, y, and I are given below.
The augmented matrices are in reduced row-echelon form.
For each system, choose the best description of its solution.
If applicable, give the solution.
(a)
10-1
01 1
100 0
5
100 2
0011 4
000-2
OThe system has no solution.
O The system has a unique solution.
(x,x.) - D
O The system has infinitely many solutions.
O (1.7.²) = (1.D
(1.7.2) -..D
(x,y,z) ==)
O The system has no solution.
O The system has a unique solution.
(x,y) - D
O The system has infinitely many solutions.
(x, y, z)=(xD
(2.3.²) -..D
(..)-:)
8
X
a) The system has infinitely many solutions in the following format:
(2 + z, 5 - z, z).
b) The system has no solution.
How to obtain the number of solutions of each system?To obtain the number of solutions of each system, the equations are built from the augmented matrix presented.
For item a, both sides of the matrix have one zero row, hence the system has infinitely many solutions, and the equations are given as follows:
x - z = 2.y + z = 5.Hence the solutions in terms of z are given as follows:
x = 2 + z.y = 5 - z.Thus the format of the solutions is of:
(2 + z, 5 - z, z).
For item b, the right side has three non-zero rows, while the left-side has two, meaning that it has no solutions.
This can be verified from the last line, as the equation would be of:
0z = -2.
Which has no solution.
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How do I convert steps to miles?
To convert steps to miles, use the average stride length to calculate the distance covered by the steps.The average stride length for a person is approximately 2.5 feet, and there are approximately 5,280 feet in a mile.
Describe unit conversion:Unit conversion is the process of changing a quantity from one unit of measurement to another, while maintaining its value. This is often done to compare measurements in different systems of units or to express a measurement in a unit that is more appropriate for a particular situation.
For example, converting between metric units (such as grams or meters) and imperial units (such as ounces or feet) is a common type of unit conversion. The process of unit conversion involves using a conversion factor, which is a ratio that relates the units being converted.
To convert steps to miles, simply multiply the number of steps taken by the average stride length, and then divide the result by 5,280.
For example, if you take 10,000 steps, the distance covered would be approximately 4.47 miles (10,000 x 2.5 / 5,280).
Keep in mind that the average stride length can vary based on factors such as height, age, and fitness level, so it is important to measure your own stride length for the most accurate results.
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7 3 r+ 8 5 sstart fraction, 3, divided by, 7, end fraction, r, plus, start fraction, 5, divided by, 8, end fraction, s when r=14r=14r, equals, 14 and s=8s=8s, equals, 8
Answer: 11
Step-by-step explanation:
Given the expression:
3/7 r + 5/8 s
When r = 14 and s = 8
Input the values of r and s into the equation:
[(3/7) × 14] + [(5/8) × 8]
(42 / 7) + (40 / 8)
6 + 5
= 11
Answer:
11
Step-by-step explanation:3/7 (14) + 5/8 (8)
6 + 5
HEY GUYS HELP ME AND ILL MARK YOU BRAINLIEST - THANNKYOU
Answer:
180-46=134
so if u do the math u get
X=134
if two significant main effects emerge in a two-factor anova, then the interaction between factors must be significant.T/F
False. In a two-factor ANOVA, if two significant main effects emerge, it does not necessarily mean that the interaction between factors is significant. Main effects and interaction effects are independent of each other and can have different levels of significance.
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The presence of significant main effects does not necessarily indicate a significant interaction between factors in a two-factor ANOVA. It is possible for there to be significant main effects without a significant interaction.
Therefore, it is important to examine both the main effects and the interaction effects in a two-factor ANOVA to fully understand the relationship between the variables being studied.
False
In a two-factor ANOVA, there are three possible significant effects: two main effects for each factor and one interaction effect between the factors. When two significant main effects emerge, it means that there are significant differences in the levels of both factors. However, this does not automatically mean that the interaction between the factors must also be significant. The interaction effect is an entirely separate effect and can be significant or non-significant regardless of the significance of the main effects.
If two significant main effects emerge in a two-factor ANOVA, it does not necessarily mean that the interaction between factors must be significant.
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Please Help!!
On answering the questions
Answer:
They both have paper
Step-by-step explanation:
Crayons have paper wrapped around them and a newspaper is made of paper. & they both can be recycled
urn a contains six white balls and seven black balls. urn b contains five white balls and three black balls. a ball is drawn from urn a and then transferred to urn b. a ball is then drawn from urn b. what is the probability that the transferred ball was white given that the second ball drawn was white?
Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.
To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:
P(A|B) = P(B|A) * P(A) / P(B)
where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.
In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:
P(A|B) = P(B|A) * P(A) / P(B)
P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.
P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.
P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.
To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.
The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.
Therefore, we can calculate P(B) as follows:
P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)
= (2/3) * (6/13) + (5/9) * (7/13)
= 89/117
Now we can plug in all the values into Bayes' theorem to find P(A|B):
P(A|B) = P(B|A) * P(A) / P(B)
= (2/3) * (6/13) / (89/117)
= 52/89
Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.
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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 74.5 Mbps. The complete list of 50 data speeds has a mean of x= 17.34 Mbps and a standard deviation of s= 20.79 Mbps. a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds? b. How many standard deviations is that [the difference found in part (a)]?
a. The difference between the highest data speed (74.5 Mbps) and the mean of all 50 data speeds (17.34 Mbps) is:
74.5 - 17.34 = 57.16 Mbps
b. To find the number of standard deviations, divide the difference by the standard deviation:
57.16 / 20.79 = 2.75
So, the difference of 57.16 Mbps is 2.75 standard deviations from the mean.
Mbps known as for “Megabits per second.” This is the standard measure of “speed” or “bandwidth” on home internet connections.
It finds how many bits (units of digital information) can be transferred each second. You’ll normally see speeds ranging from 10-1,000 Mbps advertised for home internet plans.
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i need help getting the answer to this pleaseDetermine the equation of the circle graphed below
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Graph
Center = ( - 7 , 2)
Radius = 2
equation of the circle = ?
Step 02:
equation of the circle
(x - h) ² + (y - k) ² = r ²
( h , k) = ( - 7 , 2)
r = 2
( x - (-7)) ² + (y - 2)² = 2 ²
(x + 7)² + (y - 2)² = 4
The answer is:
The equation of the circle is (x + 7)² + (y - 2)² = 4
an Olympic driver drives off a diving board that is 12 meters off the ground during his dive he touches the bottom of the pool which is 15 feet deep what is the distance from the diving board to the bottom of the pool
How do we find the constant rate from two points?
Let the two points be given by:
\(P(x_{1},y_{1}) \\ Q(x_{2},y_{2})\)
\(rate = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \)
pls help quick what is 1/8+2/5
Answer:
21/40
Step-by-step explanation: here is a calculator to help you with fractions: https://www.calculatorsoup.com/calculators/math/mixednumbers.php
if r(t) = (4t, 3tยฒ, 4tยณ) , find r'(t), T(1), r''(t), and r'(t) ร r ''(t).
The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.
We are given the vector-valued function r(t) = (4t, 3t², 4t³).
To find r'(t), we need to take the derivative of each component of r(t) with respect to t:
r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)
r'(t) = (4, 6t, 12t²)
To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):
r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)
| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14
T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)
To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:
r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)
r''(t) = (0, 6, 24t)
Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):
r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)
r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)
r'(t) ร r''(t) = 144t³
Therefore, we have:
r'(t) = (4, 6t, 12t²)
T(1) = (2/7, 3/7, 6/7)
r''(t) = (0, 6, 24t)
r'(t) ร r''(t) = 144t³
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leave the answer as an improper fraction
Hey there!
ANSWER: \(\frac{23}{20}\)
EXPLANATION:
To find the answer to your question, you will need to add.
\(\frac{3}{4}+\frac{2}{5}\)
First, multiply the denominator.
\(5*4=20\)
So the denominator will be 20.
Now move on to the numerator. Multiply 5 by 3.
\(5*3=15\)
Now multiply 4 bu 2.
\(4*2=8\)
If you want to get the numerator, add what you got after multiply.
\(15+8=23\)
The numerator is 23. So now let's complete the fraction.
\(\frac{23}{20}\)
This is your answer!
Hope this helps!
\(-TestedHyperr\)
Determine if the expression 464 +c+ cº is a polynomial or not. If it is a polynomial,
state the type and degree of the polynomial.
Answer:
I wish I could help but I'm not sure