Let r(t)= < -4/-t-5, t/3t^2 +5, 5t^2/2t^3 -4>
Find r′(t)
Answers
The correct value of r'(t) is given by the above expression r'(t) = ⟨\(4/(t+5)^2\), \((-3t^2 + 5) / (3t^2 + 5)^2,\) \((-10t^4 - 40t) / (2t^3 - 4)^2\)⟩
To find the derivative of the vector function r(t) = ⟨-\(4/(-t-5), t/(3t^2 + 5), 5t^2/(2t^3 - 4)\)⟩, we differentiate each component with respect to t.
The derivative of r(t) is denoted as r'(t) and is given by:
r'(t) = ⟨d/dt (-4/(-t-5)), d/dt \((t/(3t^2 + 5)), d/dt (5t^2/(2t^3 - 4))\)⟩
To find the derivative of each component, we'll use the quotient rule and chain rule as necessary.
For the first component:
\(d/dt (-4/(-t-5)) = (4/(-t-5)^2) * d/dt (-t-5)\)
=\((4/(-t-5)^2) * (-1)\)
\(= 4/(t+5)^2\)
For the second component:
\(d/dt (t/(3t^2 + 5)) = [(3t^2 + 5) * (1) - t * (6t)] / (3t^2 + 5)^2\)
\(= (3t^2 + 5 - 6t^2) / (3t^2 + 5)^2\)
\(= (-3t^2 + 5) / (3t^2 + 5)^2\)
For the third component:
\(d/dt (5t^2/(2t^3 - 4)) = [(2t^3 - 4) * (10t) - (5t^2) * (6t^2)] / (2t^3 - 4)^2\)
\(= (20t^4 - 40t - 30t^4) / (2t^3 - 4)^2\)
\(= (-10t^4 - 40t) / (2t^3 - 4)^2\)
Putting all the derivatives together, we have:
r'(t) = ⟨\(4/(t+5)^2, (-3t^2 + 5) / (3t^2 + 5)^2, (-10t^4 - 40t) / (2t^3 - 4)^2\)⟩
Therefore, r'(t) is given by the above expression.
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Related Questions
Which statements should be included when teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home
Answers
When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.
When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:
1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.
2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.
3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.
4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.
5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.
6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.
7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.
By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.
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A local grocery store sells 32.5 oz bags of mixed nuts that contain 56% peanuts. To make their product they combine Planters mixed nuts which contain 50% peanuts and Emerald mixed nuts which contain 60% peanuts. How much of each do they need to use
Answers
The local grocery store mixed 13 oz of planters mixed nuts with 19.5 oz of emerald mixed nuts to get 32.5 oz bags of mixed nuts that contain 56% peanuts.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of planters mixed nuts and y represent the amount of emerald mixed nuts, hence:
x + y = 32.5 (1)
Also:
0.5x + 0.6y = 0.56(32.5) (2)
From both equations:
x = 13, y = 19.5
The local grocery store mixed 13 oz of planters mixed nuts with 19.5 oz of emerald mixed nuts to get 32.5 oz bags of mixed nuts that contain 56% peanuts.
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1. According to the podcast, why and how is chicken the reason American trucks dominate the truck market in the United States? Briefly explain. 2. Name two reasons a party (e.g., a politician or an industry association) may want to impose a tariff? 3. Who are they usually trying to protect? Who would be hurt by a tariff on automobiles? Explain. 4. Describe how competition encourages innovation? In your answer to this question, include a discussion on why American trucks "basically stayed the same over the years. 5. Describe ways foreign companies tried to get around American-imposed tariffs on automobiles. 6. Do you think the methods you described in your previous answer are efficient for an economy? Why or why not? 7. Lastly, how can a tariff be used as a bargaining chip? In your opinion, is that a good reason to impose tariffs - why or why not?
Answers
1. Chicken became the key product that drove the creation of the Interstate Highway System, which led to the dominance of American trucks in the US truck market.
2. A party may want to impose a tariff to protect domestic industries from foreign competition or to generate revenue for the government.
3. A party is usually trying to protect domestic industries, but a tariff on automobiles would hurt both domestic consumers who would pay higher prices and foreign producers who would face reduced demand.
4. Competition encourages innovation by providing incentives for companies to improve their products and services to stay ahead of their rivals; American trucks stayed the same because they faced little competition due to protectionist policies.
5. Foreign companies tried to get around American-imposed tariffs on automobiles by establishing factories in the US, forming joint ventures with American companies, or exporting through third countries.
6. The methods used to get around tariffs can be efficient in the short term, but they may not be sustainable or desirable in the long term as they can lead to trade imbalances and undermine the competitiveness of domestic industries.
7. Tariffs can be used as a bargaining chip to negotiate better trade deals, but they should be imposed judiciously and only as a last resort to avoid damaging the economy and harming consumers.
1. In the podcast, chicken is cited as the reason why American trucks dominate the truck market in the United States.
This is because in the 1960s, the government imposed regulations on the trucking industry that limited the amount of weight a truck could carry.
To get around these regulations, the industry started using smaller trucks to transport goods, which were often not strong enough to handle the weight.
However, they found that if they put chicken on the back of the trucks, the weight of the cargo would distribute more evenly and the smaller trucks could handle the load.
This led to the development of the modern pickup truck, which is now a staple of the American automobile market.
2. Parties may want to impose tariffs for various reasons, such as to protect domestic industries and jobs from foreign competition, to raise revenue for the government, or to level the playing field in international trade.
Two specific reasons for imposing tariffs could be to protect national security interests or to address unfair trade practices by other countries.
3. Tariffs are usually imposed to protect domestic industries and jobs, and the parties that are being protected are typically the producers of the goods or services in question.
However, tariffs can also harm consumers who may have to pay higher prices for imported goods or may have fewer choices in the marketplace. For example, if a tariff is imposed on automobiles, domestic car manufacturers may benefit, but consumers may have to pay more for cars, and foreign automakers may lose market share.
4. Competition encourages innovation by creating incentives for companies to improve their products or services to gain a competitive advantage.
In the case of American trucks, the lack of competition may have contributed to their lack of innovation over the years. Since they dominated the market, there was little pressure to improve or innovate, and as a result, they have largely stayed the same.
However, the rise of foreign competition in recent years has led American truck manufacturers to invest more in innovation to stay competitive.
5. Foreign companies have tried to get around American-imposed tariffs on automobiles in various ways, such as by moving production to countries not subject to the tariffs, by exporting parts and assembling them in the United States, or by lobbying the government for exemptions or tariff reductions.
6. The methods used by foreign companies to get around tariffs may not be efficient for the economy as a whole because they can lead to higher costs and inefficiencies in the supply chain.
However, they may be necessary for individual companies to remain competitive in the short term.
Ultimately, a more efficient solution would be to address the root causes of the trade imbalances that lead to tariffs in the first place.
7. A tariff can be used as a bargaining chip by threatening to impose tariffs on imports from a country unless they make concessions in trade negotiations.
While this can be an effective strategy in certain situations, it can also lead to a trade war and harm both economies.
In general, tariffs should be used sparingly and as a last resort, and efforts should be made to address underlying trade issues through diplomacy and negotiation.
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A particle moves along the x-axis so that time t>0 the position is given by x(t)=0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1. What is the velocity of the particle at the first instance the particle is at the origin?
Answers
The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.
Since the particle is at the origin when x(t) = 0, we have:
\(0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0\)
Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.
Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).
Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):
v(t) = dx/dt
\(v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6\)
Now, we can find the velocity at t ≈ 2.944:
\(v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6\)
v(t ≈ 2.944) ≈ 16.885
So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
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An aeroplane is 800 m above the ground. The angle of elevation from a point P on the ground is 30°. How far is the plane from point P by line of sight? WAEC] The angle of elevation of the top To vertical tower from a point X is 45 com a point Y on the straight line
Answers
The distance of the plane from point P by line of sight is 1385. 76 meters
How to determine the distanceUsing the trigonometric identities, we have that these identities are enumerated as;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
The opposite side = 800 m
The angle of elevation = 30 degrees
The distance of the plane from point P is the adjacent side
Using the tangent identity
tan 30 = 800/m
cross multiply the values
m = 1385. 76 meters
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e. on a single roll of two number cubes, are rolling a sum of 6 and rolling doubles mutually exclusive events?
Answers
Yes, rolling a sum of 6 and rolling doubles on a single roll of two number cubes are mutually exclusive events.
To understand this, let's define the events first. Rolling a sum of 6 means that the two numbers on the number cubes add up to 6, such as rolling a 2 and a 4, or rolling a 3 and a 3. Rolling doubles means that the two numbers on the number cubes are the same, such as rolling two 2s or two 5s.
Since rolling doubles requires both number cubes to have the same number, it is not possible to have a sum of 6 in this case. Conversely, when rolling a sum of 6, the numbers on the number cubes must be different to add up to 6.
Therefore, rolling a sum of 6 and rolling doubles on a single roll of two number cubes are mutually exclusive events. They cannot occur at the same time, making it impossible to roll doubles and have a sum of 6 simultaneously.
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Find the value of k and yz if y is between x and z. x y = 3 k − 2 , y z = 7 k 4 , x z = 4 k 38
Answers
Considering that y is between x and z, we have that:
The value of k is of k = 6.The length of yz is 46 units.How to find the value of k and of yz?We consider that y is between x and z, hence the length of the segment is given by:
xz = xy + yz
The separate lengths are given as follows:
xz = 4k + 38.xy = 3k - 2.yz = 7k + 4.Hence:
4k + 38 = 3k - 2 + 7k + 4.
4k + 38 = 10k + 2
6k = 36
k = 6.
Hence the length of yz is given by:
yz = 7k + 4 = 7(6) + 4 = 42 + 4 = 46 units.
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What is the coefficient of 8b+3.2
Answers
Answer:
8
it's the prefix to the variable
Step-by-step explanation:
Answer:
Step-by-step explanation:
8
Twenty horses take part in the Kentucky Derby. (a) How many different ways can the first second, and third places be filled? (b) If there are exactly three grey horses in the race, what is the probability that all three top finishers are grey? Assume the race is totally random.
Answers
(a) There are 8,840 different ways to fill the first, second, and third places in the Kentucky Derby. (b) If there are exactly three grey horses in the race, the probability that all three top finishers are grey depends on the total number of grey horses in the race and the total number of horses overall.
(a) To calculate the number of different ways the first, second, and third places can be filled, we use the concept of permutations. Since each place can only be occupied by one horse, we have 20 choices for the first place, 19 choices for the second place (after one horse has already been placed in first), and 18 choices for the third place (after two horses have been placed).
Therefore, the total number of different ways is 20 × 19 × 18 = 8,840.
(b) To calculate the probability that all three top finishers are grey given that there are exactly three grey horses in the race, we need to know the total number of grey horses and the total number of horses overall. Let's assume there are a total of 3 grey horses and 20 horses overall (as mentioned earlier).
The probability that the first-place finisher is grey is 3/20 (since there are 3 grey horses out of 20).
After the first-place finisher is determined, there are 2 grey horses left out of 19 horses remaining for the second-place finisher, resulting in a probability of 2/19.
Similarly, for the third-place finisher, there is 1 grey horse left out of 18 horses remaining, resulting in a probability of 1/18.
To find the overall probability of all three top finishers being grey, we multiply these individual probabilities: (3/20) × (2/19) × (1/18) = 1/1140. Therefore, the probability is 1 in 1140.
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Determine the value of y in the inequality.
18 + 3y < 27
y > 3
y < 3
y > −9
y < −9
Answers
Answer:
y < 3
Step-by-step explanation:
Hot tub area equals 10.85 feet. Garden area equals 45 feet. Wood for the hot tub is $7.37 per board and soil for the garden is $1.80 a yard plus 35 dollars Delivery fee. how much will Mrs. Philip spend on materials for the deck and garden together, explain your answer in detail
Answers
Answer: 315 dollars for board and for the garden its 12
Step-by-step explanation:
which ordered pairs are solutions to the equation 4x + 2y equals 4
Answers
The given equation is equivalent to
\(x+\frac{1}{2}y=1\)Let's check each one of the options.
(2,-6):
if we replace x by 2 in the equation, we obtain y=-2, then the point is not a solution.
(1,5)
if we replace x by 1 in the equation we obtain y=0, then the point is not a solution of the equation.
(-5,5)
if we replace x by -5 in the equation, we obtain: y=12, then the point is not a solution of the equation.
(5,3)
if we replace x by 5 in the equation, we obtain y=-8 then the point is not a solution for the equation.
Then, we have that the correct option is the last one "none of the above"how do u find this plssss tell me how?
Answers
Answer:
The sin of 20 degrees is 0.34202, the same as sin of 20 degrees in radians. To obtain 20 degrees in radian multiply 20° by / 180° = 1/9 . Sin 20degrees = sin (1/9 × .
Step-by-step explanation:
Your welcome! :)
the point (a,-a) does not lie on the grap of a. y=x b x+y=0 c.x=a d.y=-a
Answers
Answer:
y=v-''h=hndjudududjdjdjududududjd
the student lockers at olympic high are numbered consecutively beginning with locker number 1. the plastic digits used to number the lockers cost two cents a piece. thus, it costs two cents to label locker number 9 and four cents to label locker number 10. if it costs $137.94 to label all the lockers, how many lockers are there at the school?
Answers
The number of lockers in the school, given that each locker costs two cents, would be 2, 001 lockers.
How to find the number of lockers ?The number of lockers can be found by finding the cost of the first 9 lockers to be :
= 2 x 9 lockers
= 18 cents
The next 90 lockers till 99 locker:
= 4 x 90
= $ 3.60
Then 100 lockers till 999 lockers :
= 6 cents x 900
= $ 54
Then 1, 000 lockers to 1, 999 lockers :
= 8 cents x 1, 000
= $ 80
This gives :
= 0. 18 + 3. 60 + 54 + 80
= $ 137. 78
We are left with 16 cents to reach $ 137. 94 which means that there are 2 more lockers with 4 digits:
= 1, 999 + 2
= 2, 001 lockers
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If P = (4,7), Find:
r 180° (P)
([?], [])
Answers
Answer: (-4,-7)
Step-by-step explanation:
![If P = (4,7), Find:r 180 (P)([?], [])](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/zwmVmYL0p2jF8GBL4LuYUdWhWCWK8SxI.png)
John deposits 4000 into an account that pays simple interest at a rate of 2% per year. How much interest will he be paid in the first 5 years
HELPPPP
FAST
please!!!!!
Answers
5 years
5 * 2 = 10 (10%)
4000 * .10 = 400 ($400 in the first 5 years)
What is m∠2 + m∠3
*Picture included*!!
Answers
Answer:
90
Step-by-step explanation:
Angles 2 and 3 are complementary; this means that they sum 90 degrees. You know that they are complementary because the 2 non-right angles in a right triangle always sum to 90. This makes sense because all triangles equal 180 and one of the angles is 90 degrees; therefore, the others must equal 90. In this case, angles 1 is 90 degrees because it forms a linear pair with a 90-degree angle.
Ms. McCarty uses 11 inches of wire making jewelry. She uses 2/5 of the wire to make a ring and uses the rest to make a bracelet. How much more wire does Ms. McCarty use for the bracelet than the ring?
Answers
Ms. McCarty used 51/5 inches wire for the bracelet than the ring.
The amount of wire used for the bracelet = total amount of wire - the amount of wire used for the ring
The amount of wire used for the bracelet = 11 - 2/5
Taking LCM, we get 5
The amount of wire used for the bracelet = (55 - 2)/5
Performing subtraction on Right Hand Side of the equation
The amount of wire used for the bracelet = 53/5 inches
Extra wire required for the bracelet than the ring = 53/5 - 2/5
Performing subtraction on Right Hand Side of the equation
Extra wire required for the bracelet than the ring = 51/5 inches
Hence, 51/5 inches extra wire was required.
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Answer:
Step-by-step explanation: the answer is 2 3/4, i just got the answer from zearn :)
The length of a rectangle i 2cm greater than the width of the rectangle. The perimeter of the rectangle i 24cm
Answers
The length of the rectangle is 7 cm and the width is 5 cm.
Perimeter of a rectangle:The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.
The formula for the Perimeter of the rectangle is given by
Perimeter = 2( Length + Width )Here we have
The length of a rectangle is 2cm greater than the width of the rectangle
And perimeter of the rectangle = 24 cm
Let x be the width of the rectangle
From the given data,
Length of the rectangle = (x + 2) cm
As we know Perimeter of rectangle = 2(Length+width)
=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)
From the given data,
Perimeter of rectangle = 24cm
=> 2(2x +2) = 24 cm
=> (2x +2) = 12 [ Divided by 2 into both sides ]
=> 2x = 12 - 2
=> 2x = 10
=> x = 5 [ divided by 2 into both sides ]
Length of rectangle, (x+2) = 5 + 2 = 7 cm
Therefore,
The length of the rectangle is 7 cm and the width is 5 cm.
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The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
2, 7, 12,...
Find the 46th term.
Answers
Answer: 227
Step-by-step explanation:
To find the 46th term of the sequence, we need to first determine the pattern of the sequence. We can see that the sequence increases by 5 between each consecutive term. Therefore, the common difference of the sequence is 5.
Using this information, we can find the \(n\)th term of the sequence using the formula:
\(\Large \boxed{an = a1 + d(n-1)}\)
where
\(an = \text{nth term of the sequence}\)\(a1 = \text{first term of the sequence}\)\(d = \text{common difference}\)Using the given terms, we have:
\(a1 = 2\)\(d = 5\)To find the 46th term, we substitute \(n = 46\) into the formula:
\(a46 = 2 + 5(46-1)\)\(a46 = 2 + 225\)\(a46 = 227\)Therefore, the 46th term of the sequence is 227.
________________________________________________________
To find the pattern in the sequence, we can observe that each term is obtained by adding 5 to the previous term. Therefore, we can write the recursive formula for the sequence as:
\(\large a_1 = 2\)
\(\large a_n = a_{n-1} + 5\)
To find the 46th term, we can use the recursive formula to generate each term until we reach the desired term:
\(\large a_1 = 2\)
\(\large a_2 = a_1 + 5 = 2 + 5 = 7\)
\(\large a_3 = a_2 + 5 = 7 + 5 = 12\)
\(\large a_4 = a_3 + 5 = 12 + 5 = 17\)
\(\vdots\)
\(\large a_{46} = a_{45} + 5 \approx \boxed{227}\)
\(\therefore\) The 46th term of the sequence is approximately 227.
We can also write the explicit formula for the sequence as:
\(\large a_n = 5n - 3\)
To verify that this formula generates the same sequence as the recursive formula, we can substitute the value of n = 1, 2, 3, etc. and compare the results.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
Kiley spent $45 on food and rides at a carnival. Write an equation for the relationship between the amount she spent on snacks and y, the amount she spent on rides.
Answers
total spent is = 45$
let money spent on snack is x
let money spent on rides is y
so the equation of the expenses is ,
x + y = 45
thus, the answer is
x + y = 45
Question 4. [3*2= 6 marks] 1. Sketch the graph and find the slope of the curve at t = -1 (x=1-2 ly=r=1 2. Sketch the plane curve defined by the following parametric equations: [x = 2 cost ly=3 sint
Answers
To sketch the graph and find the slope of the curve at t = -1 for the given parametric equations:
1. Sketching the graph:
The parametric equations are:
x = 2cos(t)
y = 3sin(t)
To sketch the graph, we can plot points by substituting different values of t into the equations. Let's choose a range for t, such as t = -2π to 2π, and calculate corresponding values for x and y.
When t = -2π, x = 2cos(-2π) = 2 and y = 3sin(-2π) = 0.
When t = -π, x = 2cos(-π) = -2 and y = 3sin(-π) = 0.
When t = 0, x = 2cos(0) = 2 and y = 3sin(0) = 0.
When t = π, x = 2cos(π) = -2 and y = 3sin(π) = 0.
When t = 2π, x = 2cos(2π) = 2 and y = 3sin(2π) = 0.
Plotting these points, we find that the graph is a straight line along the x-axis, passing through the points (-2, 0) and (2, 0).
2. Finding the slope of the curve at t = -1:
To find the slope of the curve at t = -1, we need to calculate the derivative dy/dx. Since we have the parametric equations, we can use the chain rule to find dy/dx.
dx/dt = -2sin(t)
dy/dt = 3cos(t)
Now, we can calculate the derivative dy/dx at t = -1:
dy/dx = (dy/dt)/(dx/dt) = (3cos(-1))/(-2sin(-1)) = -3cos(1)/2sin(1)
This gives us the slope of the curve at t = -1.
Note: If the provided parametric equations are different or if there are any corrections, please provide the correct equations for a more accurate solution.
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1
1
15. Ratan bought 2 - m of iron wire and 3.
4
3
of copper wire.
a) What is the total length of wires he
bought?
b) How much more copper wire than
iron wire did he buy?
Answers
can u send me the question once more correctly so that I can help u
My username is Ayaan707.
^_^
Answer:
Total length of wire bought = 2 1/4 + 3 1/3
=9/4 + 10/3
=9*3/4*3 + 10*4/3*4 (LCM)
= 27/12 + 40/12
=67/12= 5 7/12metre is the answer
Ayaan707 avatar
difference btw copper and iron wire = 40/12 - 27/12
=13/12= 1 1/12 metre of copper wire
Step-by-step explanation:
HOPE IT HELPS , JENNY
if you are dealt three (3) cards from this 16-card deck, what is the probability that you are dealt a pair?
Answers
Answer: So, there is only a 72/22100 chance of being dealt a pair?
Step-by-step explanation:
Now change matrix B to a 3 x 3 matrix and enter these values for B:
B =
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
Then select A • B to calculate the product:
77 39 −33
1.2 1.4 3.1
2.2 1.1 5.6
3.7 4.2 6.7
=
c11 c12 c13
c11 =
c12 =
c13 =
Answers
Answer:
Step-by-step explanation:
56.1,12.1,23.6
If an archer shoots an arrow straight upward with an initial velocity of 128ft/sec from a height of 9ft, then its height above the ground in feet at time t in seconds is given by the function h(t)=−16t 2+128t+9. a. What is the maximum height reached by the arrow? b. How long does it take for the arrow to reach the ground? a. The maximum height reached by the arrow is ft. (Simplify your answer.) b. It takes seconds for the arrow to reach the ground. (Round to two decimal places as needed.)
Answers
Given:An archer shoots an arrow straight upward with an initial velocity of 128ft/sec from a height of 9ft, then its height above the ground in feet at time t in seconds is given by the function h(t) = −16t² + 128t + 9.
We need to determine the maximum height reached by the arrow and how long does it take for the arrow to reach the ground?We know that the arrow will reach its maximum height when the velocity of the arrow becomes zero.Maximum height:When the arrow reaches maximum height, velocity v = 0Hence, -16t² + 128t + 9 = 0Solving for t: ⇒ -16t² + 128t + 9 = 0 ⇒ -16t² + 144t - 16t + 9 = 0 ⇒ -16t(t - 9) - 1(t - 9) = 0 ⇒ (t - 1/16)(-16t - 1) = 0Thus, t = 1/16 sec (ignore the negative value)So, maximum height reached by the arrow is h(1/16) = -16(1/16)² + 128(1/16) + 9 = 17 ftTherefore, the maximum height reached by the arrow is 17 ft.How long does it take for the arrow to reach the ground?When the arrow reaches the ground, the height of the arrow will be zero.Hence, h(t) = 0 = -16t² + 128t + 9Solving for t: ⇒ -16t² + 128t + 9 = 0 ⇒ -16t² + 144t - 16t + 9 = 0 ⇒ -16t(t - 9) - 1(t - 9) = 0 ⇒ (t - 1/16)(-16t - 1) = 0So, t = 9 sec (ignore the negative value)Therefore, it takes 9 seconds for the arrow to reach the ground.
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What value of x can you substitute into each of these expressions to give you the same answer?
x + 12
6x - 8
4x
Answers
Answer:
\(x = 4\)
\(4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16\)
Step-by-step explanation:
x4
\begin{gathered}4 + 12 = 16 \\ 6 \times 4 - 8 = 16 \\ 4 \times 4 = 16\end{gathered}
4+12=16
6×4−8=16
4×4=16
Find the measure of the indicated angle. (image included)
I'm sorry I keep posting these it's just cause I don't understand still but i'm learning.
Answers
Answer: 88
The unknown angle in the left triangle is 80 since the sum of the angles in a triangle is 180.(180-60-40=80)
The unknown angle (the one that doesn't have a "?") is 36 since there's a straight angle which equals 180.(180-80-64)
Therefore the angle with the "?" is 88 since the sum of the angles in a triangle are 180(180-36-56)
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a 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter. a) true b) false
Answers
The given statement is true. A 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.
A 97% confidence interval is a range of values that you can be 97% certain contains the true mean of the population. This is not the same as a range that contains 97% of the values.
It means that repeated samples of the same sample size will produce confidence intervals such that 97% of the intervals will contain the true but unknown parameter prior to drawing the sample. This is called the initial precision of the confidence interval.
Confidence intervals:
Confidence interval computes the range in which the true value lies with a specified confidence level and is generally denoted by a small c.
Therefore we get that a 97% confidence interval for a population parameter means that if a large number of confidence intervals were constructed from repeated samples, then on average, 97% of these intervals would contain the true parameter.
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