Answer:
minus 1
Step-by-step explanation:
Answer:
2.5, 1.5
Step-by-step explanation:
should be easy, but that's my opinion
Hope this helps :)
the vertices of triangle wxy are located at w(-14,20). x(10,4) and y (-2,-4). what is the approximate length of the midsegment parallel to xy?
The approximate length of the midsegment parallel to xy is 6.63
The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.
To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.
Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.
First, let's find the midpoint of side xw:
Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)
Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )
The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Length line of midpoint xw and midpoint yw :
√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44
So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63
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Can someone please help my son on his work he broke both of his arms in a car crash please
Answer:
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Step-by-step explanation:
taco=3.50
burrito = 9.50
raised 1,020
Sold-120 items
How many tacos and burritos did they sell?
By using substitution method to solve the given equation they sold 20 tacos and 100 burritos .
Substitution method:The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
For example - x +y = 2 , x = 2-y
3x+3y = 6
substituting value of x in equation 2 we get
y = 1
x = 1
According to the given information:
Let's assume x is the number of tacos sold and y is the number of burritos sold.
We know that:
The total amount raised from selling tacos and burritos is $1,020
The cost of one taco is $3.50
The cost of one burrito is $9.50
The total number of items sold is 120
Using this information, we can set up two equations:
3.50x + 9.50y = 1020 (total amount raised)
x + y = 120 (total number of items sold)
We can solve for x and y by using any method of solving systems of equations, such as substitution or elimination.
Let's use the substitution method:
x + y = 120 (equation 2)
y = 120 - x (solve for y)
3.50x + 9.50y = 1020 (equation 1)
3.50x + 9.50(120 - x) = 1020 (substitute y from equation 2)
3.50x + 1140 - 9.50x = 1020 (distribute)
-6x = -120 (subtract 1140 from both sides)
x = 20 (divide both sides by -6)
Now that we know x = 20, we can substitute it back into either equation to find y:
x + y = 120 (equation 2)
20 + y = 120 (substitute x = 20)
y = 100
Therefore, they sold 20 tacos and 100 burritos.
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The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers.
a) set up the variables
Let _______ represent the first number Then _______ will represent the second number.
b) What is the equation that represents the above situation? c) Solve the equation.
Answer:
34 and 17
Step-by-step explanation:
x+y=51
2y=x
2y+y=51
3y=51
y=17
2(17)=x
x=34
.Kwan is driving at a constant speed. After 141 hours he has driven a total distance of 90 miles. (a) How far will Kwan drive in 2 hours at this rate? (b) If D represents the distance Kwan has driven in miles and t represents the time he has been driving, in hours, then write an equation for D in terms of t. (c) Use your equation from (b) to determine how far Kwan drives in 15 minutes. (d) Kwan is driving a total of 234 miles. How long will his trip take him, to the nearest tenth of an hour, assuming he travels at this constant rate? Use proper units.
(a) Kwan will drive approximately 1.276 miles in 2 hours at his constant speed. (b) The equation representing the distance Kwan has driven (D) in terms of time (t) is D = 0.638t. (c) Kwan will drive approximately 0.1595 miles in 15 minutes, and (d) Kwan's trip of 234 miles will take approximately 366.8 hours at his constant rate.
(a) To determine how far Kwan will drive in 2 hours at the same constant speed, we can use the concept of proportionality. We can set up a ratio between the distance and time:
Distance / Time = Constant Speed
Let's calculate the constant speed first:
Constant Speed = Distance / Time
= 90 miles / 141 hours
≈ 0.638 miles per hour
Now we can use the constant speed to find the distance Kwan will drive in 2 hours:
Distance = Constant Speed × Time
= 0.638 miles per hour × 2 hours
≈ 1.276 miles
Therefore, Kwan will drive approximately 1.276 miles in 2 hours at this rate.
(b) The equation for D (distance) in terms of t (time) can be written as follows:
D = Constant Speed × t
Using the constant speed calculated earlier (0.638 miles per hour), the equation becomes:
D = 0.638t
(c) To determine how far Kwan drives in 15 minutes (0.25 hours), we can substitute t = 0.25 into the equation from part (b):
D = 0.638 × 0.25
= 0.1595 miles
Therefore, Kwan will drive approximately 0.1595 miles in 15 minutes at this rate.
(d) If Kwan is driving a total of 234 miles, we can rearrange the equation from part (b) to solve for t:
D = 0.638t
234 = 0.638t
Dividing both sides of the equation by 0.638:
t = 234 / 0.638
≈ 366.77 hours
Kwan's trip will take approximately 366.8 hours.
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solve in 25 mins thanks
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1) Water is pumped from a lower reservoir to a higher reservoir by a pump that provides mechanical power to the water. The free surface of the upper reservoir is 45m higher than the surface of the lower reservoir. If the flow rate of water is measured to be 0.03m3/s and the diameter of the pipe is 0.025m determine the mechanical power of the pump in Watts. Assume a pipe friction factor of 0.007.
The mechanical power of the pump is 2,648,366.75 W (approx).
Given Data:
Flow rate of water = 0.03 m³/s
Diameter of the pipe = 0.025 m
Pipe friction factor = 0.007
Difference in height between two reservoirs = 45 m
We have to find the mechanical power of the pump in watts.
Power is defined as the amount of work done per unit time.
So, we can write the formula for power as:
P = W/t
Where,
P is the power in watts
W is the work done in joules and
t is the time taken in seconds.
The work done in pumping the water is given as:
W = mgh
where
m is the mass of the water,
g is the acceleration due to gravity and
h is the height difference between the two reservoirs.
To calculate the mass of water, we have to use the formula:
Density = mass/volume
The density of water is 1000 kg/m³.
Volume = Flow rate of water/ Cross-sectional area of the pipe
Volume = 0.03/π(0.025/2)²
Volume = 0.03/0.00004909
Volume = 610.9 m³/kg
The mass of water is given by:
M = Density x Volume
M = 1000 x 610.9
M = 610900 kg
So, the work done is given by:
W = mgh
W = 610900 x 9.8 x 45
W = 2,642,710 J
Let's calculate the power now:
V = Flow rate of water/ Cross-sectional area of the pipe
V = 0.03/π(0.025/2)²
V = 0.03/0.00004909
V = 610.9 m/s
Velocity head = V²/2g
Velocity head = 610.9²/2 x 9.8
Velocity head = 19051.26 m
Pipe friction loss = fLV²/2gd
where,
L is the length of the pipe
V is the velocity of water
d is the diameter of the pipe
f is the pipe friction factor
Given, L = 150m
Pipe friction loss = 0.007 x 150 x 610.9²/2 x 9.8 x 0.025⁴
Pipe friction loss = 5,656.75 m
Mechanical power = (W+pipe friction loss)/t Mechanical power
= (2,642,710 + 5,656.75)/1Mechanical power
= 2,648,366.75 W
Therefore, the mechanical power of the pump is 2,648,366.75 W (approx).
Hence, the required solution.
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Find the equation of a line that passes through the point (-4,1) and has a gradient of -2.
Answer:
y= -2x -7
Step-by-step explanation:
y=mx+b
y= -2x+b
1 = -2(-4) +b
1 = 8+b
b= -7
y= -2x -7
The boiling pint of jet fuel is 329 Fahrenheit! Rounded to the nearest degree, what is the temperature in sergers Celsius? Use the formula F= 9/5 C + 32, where C represents degree Celsius and F represents degree Fahrenheit!
Answer:
165 degrees Celsius
Step-by-step explanation:
In a talent show, the ratio of female performers to male performers is 6:2. If there are 80 performers in total, how many more male performers are there than female performers?
Answer:
There are 40 more females than males.
In total there would be 60 females, and 20 males.
Step-by-step explanation:
Two standard number cubes are rolled. What is the probability that the sum is greater than 9 or less than 6?
To find the probability that the sum of two standard number cubes is greater than 9 or less than 6, we need to consider the possible outcomes.
A standard number cube has 6 sides, numbered from 1 to 6. When two number cubes are rolled, there are 6 x 6 = 36 possible outcomes, as each cube has 6 possible outcomes.
To find the outcomes that satisfy the given condition, we can make a table to list all the possible sums:
Sum | Outcomes
2 | 1 + 1
3 | 1 + 2, 2 + 1
4 | 1 + 3, 2 + 2, 3 + 1
5 | 1 + 4, 2 + 3, 3 + 2, 4 + 1
6 | 1 + 5, 2 + 4, 3 + 3, 4 + 2, 5 + 1
7 | 1 + 6, 2 + 5, 3 + 4, 4 + 3, 5 + 2, 6 + 1
8 | 2 + 6, 3 + 5, 4 + 4, 5 + 3, 6 + 2
9 | 3 + 6, 4 + 5, 5 + 4, 6 + 3
10 | 4 + 6, 5 + 5, 6 + 4
11 | 5 + 6, 6 + 5
12 | 6 + 6
From the table, we can see that there are 7 outcomes where the sum is greater than 9 or less than 6 (i.e., 10, 11, and 12).
The total number of possible outcomes is 36, so the probability of getting a sum greater than 9 or less than 6 is 7/36.
The probability that the sum is greater than 9 or less than 6 when two standard number cubes are rolled is 7/36.
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Mario is 68.5 inches tall. Tyler is 63.25 inches tall. How much taller is Mario than Tyler
Answer:
5.25inches
Step-by-step explanation:
difference in height = 68.5-63.25 =5.25
Height of Mario Hm = 68.5 inches
Height of Tyler Ht = 63.25 inches
Evidently, Hm > Ht
Now difference = Hm - Ht = 68.5 - 63.25
= 5.25 inches
Answer: Mario is 5.25 inches taller than Tyler.
what is 9x2y-3 if x = 5 and y = 3.
Answer:
267
Step-by-step explanation:
How do you solve problems involving sequence? Discuss the mathematics concepts and principles applied when solving problems involving sequence
Step-by-step explanation:
Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into
1) Arithmetic
2) Geometric
Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.
Given a sequance of numbers say;
T1, T2, T3...
The first term "a" of the sequence is T1
Common difference d = T2-T1 =T3-T2
Common ratio = T2/T1 = T3/T2
The formula for calculating nth term of an Arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
The nth term of a Geometric sequence is expressed as;
Tn = ar^{n-1}
r is the common ratio
Numbers are arranged in a sequence when they follow a predetermined or established pattern. Sequences can be divided into
1) Mathematics
2) Graphitic
Geometric sequences are characterized by their common ratio, whereas arithmetic sequences are distinguished by their common difference.
Suppose a sequence of numbers is given;
T1, T2, T3...
The sequence's initial term "a" is T1.
common distinction d = T2-T1 =T3-T2
T2/T1 Common Ratio T3/T2
The following is the formula for finding the nth term in an arithmetic sequence:
Tn = a+(n-1)d
The first term is a.
The number of terms is n.
d is the typical discrepancy
The nth term of a Geometric sequence is expressed as;
\(T_{n} =ar^{n-1}\)
r is the common ratio
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HELP GIVING BRAINIEST
1 If angle DAC is 40 degrees how many degrees is Angle ACD. Show all of your work. Show Your work
Answer:
m<ACD = \(50^{o}\)
Step-by-step explanation:
From the question given, ΔACD is a right angled triangle. Then we can apply one of the properties of a triangle to it.
In the triangle ACD:
<ACD + <DAC + <ADC = 180 (sum of angles in a triangle)
<ACD + 40 + 90 = 180
<ACD + 130 = 180
<ACD = 180 - 130
<ACD = \(50^{o}\)
With the application of the property of the sum of interior angles of a triangle, the measure of <ACD is \(50^{o}\).
TJ's Cat Food plans to use tins that are the shape of cylinders. Find the height of the tin, if its bottom diameter is 12 cm and volume is 757.36cm.
Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm
Ruby bought 8 notebooks for $24.50. Some of the notebooks were $2.50 each, and others were $3.25 each. If x represents the number of least expensive notebooks, which equation can be used to find the number of least expensive notebooks purchased?
Answer:
equation: 24.50 = 2.50x + 3.25(8 -x)
solution: x = 2
Step-by-step explanation:
You can solve this problem by writing an equation for the total value of the purchase. It is the sum of products of the number of notebooks and their cost.
__
If x of the 8 notebooks were the least expensive, then (8-x) were the most expensive.
total cost = cost of least expensive + cost of most expensive
24.50 = 2.50x + 3.25(8 -x) . . . . . . . . one way to write the equation
24.50 = -0.75x +26.00 . . . . . . . . . simplified equation
-1.50 = -0.75x . . . . . . . . . . . . . . . after subtracting 26
2 = x . . . . . . . . . . . . divide by -0.75
Two (2) of the least-expensive notebooks were purchased.
_____
Additional comments
This problem statement asks "which equation," but does not provide any choices. We hope that one of the equations shown above will give you a sufficient clue to make the correct answer choice.
__
We like to let the variable represent the most-expensive contributor in the problem. That way, it ends up with a positive coefficient when the equation is simplified. There tends to be fewer errors when the math is done with positive numbers.
A 20-N force acts on an object with a mass of 2.0 kg. What is the objects acceleration?
Answer:
10 N/kg
Step-by-step explanation:
F=ma
therefore,a=F/m
This meal costs $19.00 .A sales tax is applied, followed by an automatic tip of 18 %.What is the total with tax and tip?
The total cost of he meat with tax and tip is $ 22.42
How to find the totalTo calculate the total cost with tax and tip, we need to follow these steps:
multiply the meal cost by the tip rate. when the tip rate is 18%, we have:
Tip amount = $19.00 * 0.18 = $3.42
Add the meal cost, sales tax, and tip amount to get the total cost:
Total cost = Meal cost + Sales tax + Tip amount
= $19.00 + $3.42
= $ 22.42
Therefore, the total cost with tax and tip is $22.42
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-14+8 I also need to explain it to
Answer:
-6
Step-by-step explanation:
14 - 8 = 6
Answer:
-6
Step-by-step explanation:
u subtracted right but its a negative and a positive and the -14 is bigger than the 8 so it would be a negative answer which is -6
Instructions: Find the missing length indicated.
Answer:If you are following a area of a triangle is bxhx1/2 or bxh/2
1,800
Step-by-step explanation:100x36=3,600/2=1,800
the scores on a standardized test are normally distributed with a mmean of 90 and a standard deviation of 15. what is the percentage of scores that are greater than 69?
Approximately 91.92% of test-takers scored higher than 69 on this standardized test.
To find the percentage of scores that are greater than 69, we need to standardize the score by calculating its z-score:
z = (69 - 90) / 15 = -1.4
The z-score represents the number of standard deviations away from the mean a score is. Since the normal distribution is symmetric, we can find the percentage of scores greater than 69 by finding the area under the curve to the right of the z-score.
Using a standard normal distribution table or calculator, we find that the area to the right of a z-score of -1.4 is 0.9192.
Therefore, the percentage of scores greater than 69 is:
0.9192 x 100% = 91.92%
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random variables x and y have the joint cdf fx,y (x, y) = (1 − e−x )(1 − e−y ) x ≥ 0; y ≥ 0, 0 otherwise
The marginal CDF for y is Fᵧ(y) =\(y + e^{(-y) }- 1\), for y ≥ 0
How to find the marginal CDF?The given joint cumulative distribution function (CDF) for random variables x and y is:
Fₓ,ᵧ(x, y) = \((1 - e^{(-x)})(1 - e^{(-y)})\), for x ≥ 0 and y ≥ 0
= 0, otherwise.
From the joint CDF, we can determine the marginal CDFs for x and y by integrating the joint CDF with respect to the respective variable.
Marginal CDF for x:
Fₓ(x) = ∫[0,x] ∫[0,∞] fₓ,ᵧ(u, v) dv du
Since fₓ,ᵧ(u, v) is zero outside the domain x ≥ 0 and y ≥ 0, we can simplify the integration limits:
Fₓ(x) =\(\int _{[0,x]} \int _{[0,\infty]}\) \((1 - e^{(-u)})(1 - e^{(-v)})\) dv du
= ∫\([0,x] [1 - e^{(-u)}]\) du
= \([u + e^(-u)]\)|[0,x]
= \(x + e^{(-x)} - 1\), for x ≥ 0
Therefore, the marginal CDF for x is given by:
\(Fₓ(x) = x + e{(-x)} - 1\), for x ≥ 0
Marginal CDF for y:
Fᵧ(y) = ∫[0,∞] ∫[0,y] fₓ,ᵧ(u, v) du dv
Using similar reasoning as above, we can simplify the integration limits:
Fᵧ(y) = \(\int _{[0,\infty]} \int_{[0,y]}\)(1 - \(e^{(-u)}\))(1 - \(e^{(-v)}\)) du dv
= \(\int_{[0,y]}\) [1 -\(e^{(-v)}\)] dv
= [v +\(e^{(-v)}\)]|[0,y]
= y + \(e^(-y)\) - 1, for y ≥ 0
Therefore, the marginal CDF for y is given by:
Fᵧ(y) =\(y + e^{(-y)} - 1\), for y ≥ 0
These are the marginal CDFs for the random variables x and y based on the given joint CDF.
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Consider the Solow growth model with neither technological nor population change. The parameters of the model are given by s=0.3 (savings rate) and
δ=0.08(depreciation rate).
Let k denote capital per worker; y output per worker;
Solve for output per worker (y*) in the steady state. Show your derivations.
The steady-state output per worker (y*) is given by y* = A*(k*)^(1/3), and the level of technology (A) remains constant in the steady state.
To derive the steady-state output per worker (y*) in the Solow growth model, we start with the production function:
y = Ak^(1/3)
Where y represents output per worker, A is the level of technology, and k is capital per worker. In the steady state, capital per worker remains constant, so we have dk/dt = 0, where d represents the derivative.
Taking the derivative of the production function with respect to time (t), we get:
dy/dt = (dA/dt)k^(1/3) + A(1/3)k^(-2/3)dk/dt
Since dk/dt = 0 in the steady state, the equation simplifies to:
dy/dt = (dA/dt)k^(1/3)
In the steady state, output per worker does not change over time, so dy/dt = 0. This leads to:
(dA/dt)k^(1/3) = 0
Since k^(1/3) is positive, we must have dA/dt = 0. This means that the level of technology (A) remains constant in the steady state.
Now, substituting A = A* (where A* represents the steady-state level of technology) into the production function, we have:
y* = A*(k*)^(1/3)
where k* represents the steady-state capital per worker.
Therefore, the steady-state output per worker (y*) is given by y* = A*(k*)^(1/3), and the level of technology (A) remains constant in the steady state.
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how to read a q q q q q q q q q q q q q q q q q
Your read from left to right. Read intensively if you want to practice the fundamentals and learn vocabulary. Intensive reading is focused more on individual details of what you’re reading.
hope this helped <3
Answer:
This is how to read a
Pronounce it with your mouth open as in "ah" then smile with an "ee" sound. Say "Ay" and that's how you say A or "Ah"
How to read Q? Just pronounce it as "Kyuu" or when reading it say "Ck" with a sharper sound.
Hope this helped!
The derivative of a function is given by for e^sinx - cosx - 1 on what intervals is decreasing?
The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).
What is the derivative?A derivative is known to be a tool that help us to know the altering relationship that between two variables. The derivative formula is known to be ddx. xn=n.
Note that:
F¹(x) = e^sinx - cosx - 1
Set:
F¹(x) > 0
e^sinx > cosx - 1
0.633 < x < 4.155 and 6,916 < x < 9
So, if you look at the equation, the option that fits into the equation is option c:
Therefore, The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).
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If f(x)=sin√(2x+3), then f ′(x) = ____
The derivative of f(x) = sin√(2x+3) is f'(x) = (cos√(2x+3)) / (2√(2x+3)). This derivative formula allows us to find the rate of change of the function at any given point and can be used in various applications involving trigonometric functions.
The derivative of f(x) = sin√(2x+3) is given by f'(x) = (cos√(2x+3)) / (2√(2x+3)).
To find the derivative of f(x), we use the chain rule. Let's break down the steps:
1. Start with the function f(x) = sin√(2x+3).
2. Apply the chain rule: d/dx(sin(u)) = cos(u) * du/dx, where u = √(2x+3).
3. Differentiate the inside function u = √(2x+3) with respect to x. We get du/dx = 1 / (2√(2x+3)).
4. Multiply the derivative of the inside function (du/dx) with the derivative of the outside function (cos(u)).
5. Substitute the values back: f'(x) = (cos√(2x+3)) / (2√(2x+3)).
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what is the smallest possible perimeter, in units, of a triangle whose side-length measures are consecutive integer values?
If a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units
If a, b and c are the sides of the triangle
Then it will be
a + b > c
b + c > a
c + a > b
Given that the side length of the measures are consecutive integer
Smallest consecutive integer is 1, 2 and 3
But
1 +2 > 3
3 = 3
Therefore it will not be the sides of the triangle
Next smallest consecutive integers are 2, 3 and 4
Then,
2+3 > 4
5 > 4
3+4 > 2
7 > 2
2+4 > 3
6 > 3
This will be the sides of the triangle
The perimeter of the triangle is the sum of sides of the triangle
The perimeter = 2 + 3 + 4
= 9 units
Hence, if a triangle whose sides length measures are consecutive integers, then the smallest possible perimeter is 9 units
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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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For every 3 girls in Mr Hegarty's class there are 5 boys. What is the ratio of boys to girls in the class?
Give your answer in its simplest form. HELP
Solve for x: (3x + 134)° (5x + 6)°
Answer:
x = 5
Step-by-step explanation:
3x + 134 + 3x + 134 + 5x + 6 + 5x + 6 = 360
16x + 280 = 360
16x + 280 = 360
16x = 80
x = 5
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