Answers
Answer:
option 2, 55°
Step-by-step explanation:
Related Questions
Two parachutists jump at the same time from two different planes as part of an aerial show. The height h1of the first parachutist in feet after t seconds is modeled by the function h1 = -16t2 + 5000. The height h2 of the second parachutist in feet after t seconds is modeled by the function h2 = -16t2 + 4000.
a. What is the parent function of the two functions given? b. Describe the transformations needed to obtain the graph of h1 from the parent
function.
c. Which parachutist will reach the ground first?
Answers
a. The parent function of the two given functions is h(t) = -16t².
b. To obtain the graph of h1 from the parent function, we need to vertically shift it upwards by 5000 units since the maximum height reached by the first parachutist is 5000 feet.
c. The second parachutist will reach the ground first.
The parent function of the two given functions is h(t) = -16t². This function represents the height of an object in free fall without considering initial velocity or air resistance. The coefficient -16 represents the acceleration due to gravity, and t² represents the square of time.
To obtain the graph of h1 from the parent function, we need to apply a vertical transformation. The function h1 = -16t²+ 5000 represents the height of the first parachutist. By adding 5000 to the parent function, we shift the graph upward by 5000 units. This shift accounts for the initial height from which the first parachutist jumps, which is 5000 feet.
c. To determine which parachutist will reach the ground first, we need to find the time when each of their heights is equal to zero. For the first parachutist, we set h1 = 0 and solve for t:
-16t² + 5000 = 0
t² = 312.5
t = ±17.68 seconds
Since time cannot be negative, we take the positive solution and find that the first parachutist will reach the ground after approximately 17.68 seconds.
For the second parachutist, we set h2 = 0 and solve for t:
-16t² + 4000 = 0
t² = 250
t = ±15.81 seconds
Again, taking the positive solution, we find that the second parachutist will reach the ground after approximately 15.81 seconds.
Therefore, the second parachutist will reach the ground first.
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the area under the entire probability density curve is equal to___a. 0b. -1c. 1d. [infinity]
Answers
The required area under the whole probability density curve is given by option C. 1.
The area under the entire probability density curve is equal to,
As the probability density function (pdf) represents the probability of a continuous random variable.
And continuous random variable taking on a specific value within a certain range.
Since the total probability of all possible outcomes must be equal to 1.
This implies that the area under the entire probability density function (pdf) curve must also be equal to 1.
Therefore, the area under the entire probability density curve function is equal to option c. 1.
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How many independent variables are in the following factorial combination? 2x2x3 a. 1 b. 12 c. 3
d. 2
Answers
In this case, there are two unique factors: 2 and 3. The expression can be rewritten as (2^2) x 3, showing that the number 2 is raised to the power of 2 and then multiplied by 3. Since there are only two unique factors involved in this expression, the correct answer is: d. 2
The answer is d. 2. In a factorial combination, independent variables refer to the factors or variables that are being manipulated or varied. In the combination 2x2x3, there are two independent variables: the first variable has two levels or options, the second variable also has two levels or options, and the third variable has three levels or options. Therefore, the number of independent variables in this factorial combination is two.
The given expression is 2x2x3, which is a product of three numbers. To determine the number of independent variables in this factorial combination, let's identify how many unique variables or factors are involved in the product.
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If Cody does a job in 87 hours and with the help of Patricia they can do it together in 58 hours, how long would it take Patricia to do it alone? hours
Answers
We can establish a "work rate" or velocity for Cody. It will represent the fraction of the job he does in an hour, or the "job per hour". If he does 1 job in 87 hours, it means that he does 1/87 of the job in an hour.
Similarly, when both Cody and Patricia work at the same time, they can do 1/58 of the job in an hour.
The combined job velocity (when they work together) is the sum of their individual velocities. Let's call P the velocity for Patricia:
\(\frac{1}{87}+P=\frac{1}{58}\)Now we can solve for P, which will give us the fraction of work Patricia is able to do in 1 hour:
\(P=\frac{1}{58}-\frac{1}{87}=\frac{87-58}{5046}=\frac{29}{5046}\)We can simplify the fraction, but for now, let's say Patricia does 29/5046 of the work in an hour. The time she would take to do the hob will be the inverse of that: 5046/29, which simplified gives us:
\(\text{Time Patricia takes}=\frac{5046}{29}=\frac{174}{1}\)Then, Patricia will take 174 hours to do the job alone.
The product of two numbers is 1 the sum of the larger number and twice the smaller number is 11 find the two numbers
Answers
Answer: the two numbers are in the question
Step-by-step explanation:
i took the test
suppose i want to represent the following set of words using a phone lattice: {cattle, battle, cattles,battles}. what is the minimum number of states that i require?
Answers
⇒We can represent this phone lattice in two minimum number of ways and states to represent it.
What is phone lattice?
A state diagram, or directed network in which each node stands for a state of a system, is what is known as a phone lattice. Each edge of a phone lattice has exactly one letter. A word is represented by each route from the start node to the final/end node.
The minimum no. Of states in using a phone lattice to the given requirement is two.
We can represent this phone lattice in two minimum number of ways and states to represent it.
A dual lattice may be defined as the inclusion on the extents. We represent a lattice using a Hasse diagram of the given partial ordering on all the maximal rectangles, transitivity and reflexivity arcs that are omitted. Concepts in the given system are often known as elements of this lattice.
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PLEASE I NEED HELP I DONT UNDERSTAND HOW TO DO ILL GIVW MORE IF RIGHT
Answers
Answer: Choice D
\(\frac{9\sqrt{2}}{2}\)
=============================================
Explanation:
We have a 45-45-90 triangle. If x is the leg length, then y = x*sqrt(2) is the hypotenuse.
Solving for y gets us \(x= \frac{y}{\sqrt{2}} = \frac{y\sqrt{2}}{2}\)
In this case, y = 9 is the hypotenuse which then leads to choice D.
------------
Another way to find the answer is to use the pythagorean theorem
a = x and b = x are the two congruent legs
c = 9 is the hypotenuse
Solving a^2+b^2 = c^2, aka x^2+x^2 = 9^2, will lead to \(x = \frac{9\sqrt{2}}{2}\)
rolling three four-sided dice twice, what is the probability of the second total being larger than the first?
Answers
The probability of the second total being larger than the first when rolling three four-sided dice twice is approximately 42.75%.
To solve this problem, we will calculate the probabilities of all possible outcomes when rolling three four-sided dice twice, and then find the probability of the second total being larger than the first.
Step 1: Find the total number of possible outcomes
Since there are 4 sides on each die and 3 dice rolled in each round, there are 4^3 = 64 possible outcomes in each round. When rolling twice, the total number of possible outcomes is 64 x 64 = 4096.
Step 2: Count the outcomes where the second total is larger than the first
We will create a table with the possible sums of the dice for both rounds, ranging from 3 to 12 (the lowest sum is 3 when all dice show 1, and the highest sum is 12 when all dice show 4).
In the table, count the number of outcomes where the second total is greater than the first. This can be done by counting the outcomes above the diagonal line of equal sums.
Step 3: Calculate the probability
Divide the number of outcomes where the second total is larger than the first by the total number of possible outcomes (4096).
Probability = (Number of outcomes where the second total is larger) / (Total number of possible outcomes)
When you follow the above steps and count the outcomes, you'll find that there are 1752 outcomes where the second total is larger than the first.
So, the probability of the second total being larger than the first is:
Probability = 1752 / 4096 ≈ 0.4275 or 42.75%
Therefore, the probability of the second total being larger than the first when rolling three four-sided dice twice is approximately 42.75%.
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The probability of the second total being larger than the first is 10/4096, or approximately 0.00244, or about 0.244%.
To solve this problem, we can list all the possible outcomes for rolling three four-sided dice twice and finding the sums.
There are 4^3 = 64 possible outcomes for rolling three four-sided dice, and since we're rolling them twice, there are a total of 64 * 64 = 4,096 possible outcomes.
To simplify the calculation, we can use the fact that the distribution of the sum of rolling a single four-sided die is uniform and ranges from 1 to 4. Therefore, the sum of three four-sided dice ranges from 3 to 12, and there are 10 possible sums.
Now, we need to count the number of outcomes where the second total is larger than the first.
We can do this by considering each possible first total and counting the number of outcomes where the second total is larger.
If the first total is 3, there is only one way to roll it (1+1+1), and there are no ways to roll a larger second total.
If the first total is 4, there are three ways to roll it (1+1+2, 1+2+1, 2+1+1), and there are four ways to roll a larger second total (2+2+1, 2+1+2, 1+2+2, 2+2+2).
If the first total is 5, there are six ways to roll it (1+1+3, 1+3+1, 3+1+1, 2+2+1, 2+1+2, 1+2+2), and there are 10 ways to roll a larger second total.
If the first total is 6, there are 10 ways to roll it (1+2+3, 1+3+2, 1+4+1, 2+1+3, 2+3+1, 2+2+2, 3+1+2, 3+2+1, 4+1+1, 1+1+4), and there are 20 ways to roll a larger second total.
If the first total is 7, there are 15 ways to roll it (1+2+4, 1+3+3, 1+4+2, 2+1+4, 2+4+1, 3+1+3, 3+3+1, 4+1+2, 4+2+1, 2+2+3, 2+3+2, 3+2+2, 1+1+5, 1+5+1, 5+1+1), and there are 35 ways to roll a larger second total.
If the first total is 8, there are 21 ways to roll it (1+2+5, 1+3+4, 1+4+3, 1+5+2, 2+1+5, 2+5+1, 3+1+4, 3+4+1, 4+1+3, 4+3+1, 5+1+2, 5+2+1, 2+2+4, 2+4+2, 4+2+2, 3+3+2, 3+2+3, 2+3+3, 1+1+6, 1+6+1, 6+1+1), and there are 56 ways to roll a larger second total.
If the first total is 9,
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-15-(-32) ASAP please!!!
Answers
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
-15-(-32)
= -15 + 32
= 17
Simplify 2x(x - 6) using either Algebra tiles or the Box Method on a sheet of paper
Answers
Answer: 2x^2 - 12x
Step-by-step explanation:
Eleven of 25 kids watch T.V. before falling sleep. What percent of kids watch T.V. before falling asleep?
Answers
Answer:
44%
Step-by-step explanation:
what is the answer +7 – 7???
Answers
Answer:
0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
positive 7 minus 7 just equals zero
How do you know when a sequence is arithmetic vs. geometric?
Answers
Arithmetic Sequence is when each new tear. Is produced by adding a constant to the value of the previous which is like 13,20,27,34 its all adding by 7
Geometric Sequence is when each term is multiplied by the common ratio to get the next term such as 16,64,256,1024 each term is multiplying by 4(common ratio) from the previous number
Jennifer bought 3 shirts for $48.00. At the same rate, how much would Jennifer pay for 10 shirts?
sentence stem:Jennifer would pay $ for 10 shirts.
Answers
Answer:
160 dollars
Step-by-step explanation:
3 for 48.00 dollars meaning that she pays 16 dollars a shirt
16 times 10 is 160
so 160 dollars
Answer:
160
Step-by-step explanation:
48 divided by 3 times 10
Evaluate in closed form the sum f(\Theta)=sin(\Theta)+1/3sin(2\Theta)+1/5sin(3\Theta)+1/7sin(4\Theta)+...(you may assume 0<\Theta<\Pifor definiteness).
Answers
The closed form for the sum f(\Theta) is:
f(\Theta) = π/2 + (1/2)[sin(\Theta) - (1/3)sin(2\Theta) + (1/5)sin(3\Theta) - (1/7)sin(4\Theta) + ...]
To evaluate the sum f(\Theta) in closed form, we can use the formula for the sum of an infinite geometric series.
Let S be the sum of the series 1 + x + x^2 + x^3 + ..., where |x| < 1. Then,
S = 1/(1-x)
We can use this formula to express f(\Theta) as a sum of geometric series.
f(\Theta) = sin(\Theta) + 1/3sin(2\Theta) + 1/5sin(3\Theta) + 1/7sin(4\Theta) + ...
Notice that the coefficient of sin(k\Theta) is given by 1/(2k-1). Therefore, we can express f(\Theta) as a sum of infinite geometric series:
f(\Theta) = (1/(2-1))sin(\Theta) + (1/(2*2-1))sin(2\Theta) + (1/(2*3-1))sin(3\Theta) + (1/(2*4-1))sin(4\Theta) + ...
Using the formula for the sum of an infinite geometric series, we get:
f(\Theta) = sin(\Theta) + (1/3)sin(2\Theta) + (1/5)sin(3\Theta) + (1/7)sin(4\Theta) + ...
= Σ_{k=1}^∞ (1/(2k-1))sin(k\Theta)
= Im[Σ_{k=1}^∞ (1/(2k-1))e^{ik\Theta}]
= Im[Σ_{k=0}^∞ (1/(2k+1))e^{i(2k+1)\Theta}]
= Im[π/2 + (1/2)Σ_{k=1}^∞ ((-1)^k/(k^2-1))e^{ik\Theta}]
= π/2 + (1/2)[sin(\Theta) - (1/3)sin(2\Theta) + (1/5)sin(3\Theta) - (1/7)sin(4\Theta) + ...]
Therefore, the closed form for the sum f(\Theta) is:
f(\Theta) = π/2 + (1/2)[sin(\Theta) - (1/3)sin(2\Theta) + (1/5)sin(3\Theta) - (1/7)sin(4\Theta) + ...]
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Write an inequality for the following statement.
9 is greater than a
Answers
Answer:
9>a
Step-by-step explanation:
The greater than symbol is >
The less than symbol is <
It can be helpful to imagine the signs as little crocodile mouths. They will turn their heads to the biggest catch, or in this case, the greater number. So the open end of the sign will be towards the greater number.
Answer:
9>a
Step-by-step explanation:
the side with the bigger opening means that side of the inequality has a greater value so since 9 is greater than a the bigger opening will go to 9.
I got 13, can someone help make sure this is right?? Algebra 9th grade
Answers
What is the value of x in the equation 5.8(x -11.8) = 0?
I need the work btw
Thx
Answers
Answer:
Step-by-step explanation:
Given
5.8 ( x - 11.8) = 0
5.8x - 68.44 = 0
5.8x = 68.44
x = 68.44 / 5.8
x = 11.8
Hope it helps :)
Answer:
To find
\( = > \)
The value of x. in the Equation =>5.8(x -11.8) = 0
Step-by-step explanation:
\(5.8(x - 11.8) \\ = > 5.8x - 68.44 = 0 \\ = > 5.8x =0 + 64.44 \\ = > 5.8x = 64.44 \\ = > x = 64.44 \div 5.8 \\ = > 11.8\)
Hence,
x =11.82. Which of the following is the correct value of ? Show your reasoning.
Answers
Answer:
b
Step-by-step explanation:
0.22x4
= 0.22+0.22+0.22+0.22
=0.88
Or
0.22*100=22
22*4=88
88:100=0.88
Help me it is do now
Answers
Answer:
x = 9 , y = - 3
Step-by-step explanation:
(1)
8.88 = 4.44(x - 7) ← divide both sides by 4.44
2 = x - 7 ( add 7 to both sides )
9 = x
(2)
5(y + \(\frac{2}{5}\) ) = - 13 ← distribute parenthesis by 5
5y + 2 = - 13 ( subtract 2 from both sides )
5y = - 15 ( divide both sides by 5 )
y = - 3
6th grade math easy helpp
Answers
Answer: 18 degrees
Step-by-step explanation:
If the temperature dropped 12 degrees (48-36) in 10 hours then the ratio is
10hours:12 degrees
to find hours divide both sides by 2 and multiply by 3 to get
15hours: 18 degrees
The SC Electric Company has bid on two electrical wiring jobs. The owner of the company believes that
• the probability of being awarded the first job (Event A) is 0.75;
• the probability of being awarded the second job (Event B) is 0.5; and
• the probability of being awarded both jobs (A and B) is 0.375.
If the owner's beliefs are correct, which of the following statements must be true concerning event A and event B?
Answers
If the owner's beliefs are correct, the probability of being awarded the second job (Event B) is 0.5 . Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.
Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.
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Help!
This is for Patterns, Functions and Algebra!
Answers
Answer:
Option B.
Step-by-step explanation:
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
Answers
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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In San Diego the weather was sunny 83 1/3 of the of the days this past June. How many days was it sunny. (There is 30 days in June)
Answers
Answer: 25 days were sunny
Step-by-step explanation:
Explanation:
How do I solve augmented matrices??
Answers
Write the coefficients of the x-terms as the numbers down the first column.
Write the coefficients of the y-terms as the numbers down the second column.
If there are z-terms, write the coefficients as the numbers down the third column.
Draw a vertical line and write the constants to the right of the line.
ACe
medicine is given in an amount proportional to a patient's body weight. Suppose a patient weighing 119 pounds requires 136 milligrams of medicine.
What is the weight of a patient who requires 200 milligrams of medicine?
Answers
Answer:
weight of the patient = 175 pounds
Step-by-step explanation:
Patient body weight : medicine
119 : 136
What is the weight of a patient who requires 200 milligrams of medicine?
Let
Patient body weight = x
Patient body weight : medicine
x : 200
Equate both proportions
119 : 136 = x : 200
119 / 136 = x / 200
Cross product
119 * 200 = 136 * x
23,800 = 136x
x = 23,800 / 136
= 175
x = 175 pounds
63a-42b
factor expression
Answers
The factor of the given expression 63a-42b will be 21(3a - 2b).
What is an expression?In mathematics, an expression is a combination of numbers, variables, and operators (such as +, −, ×, ÷) that represents a quantity or a value. Expressions can be simple or complex, and they can involve various operations and functions.
The given expression is 63a-42b.
To factor the expression 63a - 42b, we can factor out the greatest common factor, which is 21:
E = 63a - 42b
The greatest common factor is 21 so take 21 as common from the expression,
E = 21(3a - 2b)
Therefore, the factored form of the expression 63a - 42b is 21(3a - 2b).
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The number of seats in the first row of the
stage left section of the Ming-Sun Theater is
9. As with the center section, the number of
seats in each succeeding row is 2 more than
the row in front of it. How many seats are in
the twenty-fifth row of the stage left section?
Answers
The number of the seats within the 25th row is 227.
According to the statement
We have to seek out that the quantity of seats are within the twenty-fifth row of the left section.
So, For this purpose, we all know that the
According to the information:
The number of seats within the first row of the left section of the Ming-Sun Theater is 9.
As with the middle section, the amount of seats in each succeeding row is 2 over the row ahead of it.
From this information, the equation become to search out the seats is:
Number of seats within the given row(x) = 9x+2
And the number of seats is: Number of seats within the 25th row(25) = 9(25)+2
Number of seats within the 25th row(25) = 225+2
Number of seats within the 25th row(25) = 227.
So, The amount of the seats within the 25th row is 227.
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for the surface with parametric equations (,)=⟨, ,−⟩, find the equation of the tangent plane at (2,3,1). .
Answers
The equation of the tangent plane at the point (2, 3, 1) is y = 3.
What is the equation of the tangent plane?
The equation of a tangent plane is a mathematical representation of a plane that touches a surface at a specific point and shares the same slope as the surface at that point. It is commonly used in multivariable calculus to study the local behavior of a function or surface.
To find the equation of the tangent plane at the point (2, 3, 1) for the surface with parametric equations (x(u, v), y(u, v), z(u, v)) = ⟨u, v, −u⟩, we need to calculate the partial derivatives and evaluate them at the given point.
Given the parametric equations:
x(u, v) = u
y(u, v) = v
z(u, v) = -u
First, let's find the partial derivatives with respect to u and v:
∂x/∂u = 1
∂y/∂u = 0
∂z/∂u = -1
∂x/∂v = 0
∂y/∂v = 1
∂z/∂v = 0
Next, we evaluate the partial derivatives at the point (2, 3, 1):
∂x/∂u = 1
∂y/∂u = 0
∂z/∂u = -1
∂x/∂v = 0
∂y/∂v = 1
∂z/∂v = 0
Now, we have the normal vector to the tangent plane given by the cross product of the partial derivatives:
N = (∂z/∂u, ∂z/∂v, -1) × (∂x/∂u, ∂x/∂v, 0)
N = (0, -1, -1) × (1, 0, 0)
N = (0, 1, 0)
So the normal vector to the tangent plane is (0, 1, 0).
The equation of the tangent plane at the point (2, 3, 1) can be written as:
0(x - 2) + 1(y - 3) + 0(z - 1) = 0
Simplifying the equation, we get:
y - 3 = 0
Therefore, the equation of the tangent plane at the point (2, 3, 1) is y = 3.
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