The rocket's maximum height will be reached in 1.5 seconds.
The rocket has a 39-foot height limit as well.
What is a parabolic function?A function of the form f(x) = ax² + bx + c is called a parabolic function.
The given parabolic function is,
h(t) = -16t²+48t+3 (1),
Initial velocity is 48 feet per second,
And initial height = 3 feet
Differentiate with respect to t,
h'(t)= -32t+48
To find time to substitute this expression to zero.
-32t+48=0
t = 1.5 seconds
For maximum height, substitute this value in equation (1).
h(t) = -16(1.5)²+48(1.5)+3
= -36+72+3
= 39ft
The result is that the rocket rises to its highest point, 39 feet, in 1.5 seconds.
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What is the slope of the line that passes through (−2, −4) and (3, 7) ?
A.9/ 7 B. 11/ 5 C. 3 D. I don't know.
Answer:
11/5
Step-by-step explanation:
-4 - 7 = -11
-2 - 3 = -5
11/5
Answer:
B. 11/5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)Step-by-step explanation:
Step 1: Define
Point (-2, -4)
Point (3, 7)
Step 2: Find slope m
Substitute: \(m=\frac{7+4}{3+2}\)Add: \(m=\frac{11}{5}\)3. Factor x2 + 5x + 6.
Answer:
( x+3) (x+2)
Step-by-step explanation:
x^2 + 5x + 6.
What two numbers multiply to 6 and add to 5
(3*2) = 6
3+2 = 5
( x+3) (x+2)
Answer:
\(\left(x+2\right)\left(x+3\right)\)
Step-by-step explanation:
\(x^2+5x+6\\\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+2x\right)+\left(3x+6\right)\\\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+2x\mathrm{:\quad }x\left(x+2\right)\\\\\mathrm{Factor\:out\:}3\mathrm{\:from\:}3x+6\mathrm{:\quad }3\left(x+2\right)\\=x\left(x+2\right)+3\left(x+2\right)\\\\\mathrm{Factor\:out\:common\:term\:}x+2\\=\left(x+2\right)\left(x+3\right)\)
If g(5)= 0, what point is on the graph of g? What is the corresponding x-intercept of the graph of g? The point is on the graph of g (Type an ordered pair.) os
The point on the graph of g if g(5)= 0 is (5,0). The point is on the graph of g is (5,0) and the corresponding x-intercept of the graph of g is 5.
It is given that, g(5) = 0
It is need to find the point on the graph of g and corresponding x-intercept of the graph of g.
The point (x,y) on the graph of g can be obtained by substituting the given value in the function g(x).
Therefore, if g(5) = 0, g(x) = 0 at x = 5.
Then the point on the graph of g is (5,0).
Now, we need to find the corresponding x-intercept of the graph of g.
It can be found by substituting y=0 in the function g(x).
Therefore, we have to find the value of x for which g(x)=0.
g(x) = 0⇒ x - 5 = 0⇒ x = 5
The corresponding x-intercept of the graph of g is 5.
Type of ordered pair = (x,y) = (5,0).
Therefore, the point is on the graph of g is (5,0) and the corresponding x-intercept of the graph of g is 5.
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in a class of students, the teacher selects four people at random to participate in a geography contest. what is the probability that this group of four students includes at least two of the top three geography students in the class? express your answer as a common fraction.
The probability that this group of four students includes at least two of the top three geography students in the class using hypergeometric distribution is 0.0452 or 4.52%.
In the given scenario, the students are chosen without replacement, hence the hypergeometric distribution is used. The hypergeometric distribution refers to a discrete probability distribution that describes the probability of k successes (random draws for which the object drawn has a specified feature) in n draws, without replacement, from a finite population of size N that contains exactly k objects with that feature, wherein each draw is either a success or a failure. The formula is given as
P(X=x) = h(x, N, n, k) = Ck,x Cn-k,n-x/ CN,n
Cn,x = n!/(x!(n-x)!)
Based on the information provided,
x is the number of successes
N is the size of the population = 28
n is the size of the sample = 4
k is the total number of desired outcomes = 3
The probability that this group of four students includes at least two of the top three geography students in the class is:
P (X ≥ 2) = P(X = 2) + P(X = 3)
P(X = 2) = h(2,28,4,3) = C3,2 C25,2/ C28,4 = 0.044
P(X = 3) = h(3,28,4,3) = C3,3 C25,1/ C28,4 = 0.012
Hence,
P (X ≥ 2) = P(X = 2) + P(X = 3) = 0.044 + 0.012 = 0.0452 or 4.52%
Note: The question is incomplete. The complete question probably is: In a class of 28 students, the teacher selects four people at random to participate in a geography contest. What is the probability that this group of four students includes at least two of the top three geography students in the class.
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I need help with these two problems
-6+2/3y=0
2/3y=6
y=9
y=18
Step-by-step explanation:
The formula C = f1 relates the speed (C), frequency (f), and the wave (d) of light.
Choose from the drop down lists to complete the sentence:
Answer:
Step-by-step explanation:
f(x)=log5x what Is the range of the function
The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.
The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.
The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm
log5(�)log 5 (x) for �>0 x>0.
Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).
In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.
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Answer: All real numbers
Step-by-step explanation:
Edge
solve 5x + 20=75
What is x
Answer:
x = 11
Step-by-step explanation:
this answer can be solved by simple operations
5x + 20 = 75
5x = 55 (subtracted the 20 from 75)
x = 11 (divided the 5 by 55)
hope this helps !!
- emily
In both the Vendor Compliance at Geoffrey Ryans (A) and
Operational Execution at Arrows Electronics there are problems and
challenges. Integrate the problems and challenges from both
cases.
In both the Vendor Compliance at Geoffrey Ryans (A) and Operational Execution at Arrows Electronics cases, there are common problems and challenges. These include issues related to vendor management.
One of the key problems faced by both companies is vendor compliance. This refers to the ability of vendors to meet the requirements and standards set by the company. Both cases highlight instances where vendors fail to meet compliance standards, leading to disruptions in the supply chain and operational inefficiencies. This problem affects the overall performance and profitability of the companies.
Another challenge faced by both companies is operational execution. This encompasses various aspects of operations, including inventory management, order fulfillment, and delivery. In both cases, there are instances where operational execution falls short, leading to delays, errors, and customer dissatisfaction. This challenge requires the companies to streamline their processes, improve communication and coordination, and enhance overall operational efficiency.
Overall, the problems and challenges in both cases revolve around effective vendor management, supply chain optimization, and operational excellence. Addressing these issues is crucial for both companies to improve their performance, meet customer demands, and maintain a competitive edge in the market.
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anyone HELP I WILL GIVE BRAINLIEST - its my sisters and i forgot everything in math shes in grade 9
We have to find horizontal component of Mayosons velocity.
#a
\(\\ \tt\bull\leadsto V_x=vsin\theta\)
\(\\ \tt\bull\leadsto V_x=2.5sin36\)
\(\\ \tt\bull\leadsto V_x=2.5(0.58)\)
\(\\ \tt\bull\leadsto V_x=1.45m/s\)
#b
Here 2 vectors A=8 and B=2.5\(\\ \tt\bull\leadsto \overrightarrow{R}\)
\(\\ \tt\bull\leadsto \sqrt{A^2+B^2+2ABcos\Theta}\)
\(\\ \tt\bull\leadsto \sqrt{8^2+2.5^2+2(8)(2.5)cos36}\)
\(\\ \tt\bull\leadsto \sqrt{64+6.25+40(0.8)}\)
\(\\ \tt\bull\leadsto \sqrt{70.25+32}\)
\(\\ \tt\bull\leadsto \sqrt{102.25}\)
\(\\ \tt\bull\leadsto 10.15m/s\)
A computer processes tasks in the order they are received. Each task takes an Exponential amount of time with the average of 2 minutes. Compute the probability that a package of 5 tasks is processed in less than 8 minutes.
The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.
The probability of X being less than 8 minutes is given by:
P(X ≤ 8) = 1 - P(X > 8)
= \(1 - (1 - e^{(-8/2)}^{5}\)
= 0.963
Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
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Can you solve this inequality? -4x-5>1/4(x+31)
Answer:
x < -3
Step-by-step explanation:
its correct that the answer.
Step-by-step explanation:
<:
i need help please idk what to do
Answer:
(X - 10, y - 5)
Step-by-step explanation:
Just like walking
Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. On sunday, sam hopes to make atleast $150 painting rooms and can work for exactly 10 hours. Which of the following sets represents the range of money (m) that sam can make without violating either his monetary or time restriction?
A. m= {150,250}
B. m={0,150}
C. m={0,250}
D. m={100,250}
Answer: A, {150,250}
Step-by-step explanation:
In 10 hours he can do 5x2 hours work. or 5x$50 = $250 for 5 rooms
$150 is 3x $50 or 3x2 hours work.
He can work 6 hours and make $150
or he can work 10 hours and make $250
the range he can earn so that he makes at least $150 and no more than 10 hours is$150 to $250
($150,$250) in interval notation for working 6 to 10 hours (6,10)
x + y = 10 . If y = 8, find the value of x
Answer:
2
Step-by-step explanation:
x + y = 10
y = 8
Substituting in equation,
x + 8 = 10
=>x = 10 - 8
=>x = 2
Write an equation of the line passing through each of the following pairs of points.(-5,7) (5,1)
PLEASE HELP ME !!!!!!!!!!!!!!
Answer:
y-1 = -⅗(x-5)
Step-by-step explanation:
Determine all values of h and f for which the system x + 3y = h and -4x + ky = -9 has no solution.
For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.
The given system of equations is:
Equation 1: x + 3y = h
Equation 2: -4x + ky = -9
For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.
Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.
For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.
To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.
Solving this equation for ok, we've got:
-1/3 = 4/k
-1 = 12/k
k = -12
Substituting k = -12 returned into the equation -1/3 = 4/k, we've:
-1/3 = 4/(-12)
-1/3 = -1/3
Since the equation holds real for any value of h, there aren't any restrictions at the price of h.
Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.
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The system of equations has no solution when k is equal to 12. The value of h can be any real number.
To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.
The given system of equations is:
x + 3y = h
-4x + ky = -9
We can rewrite the second equation as:
-4x + ky = -9
Dividing both sides of the equation by -4, we get:
x - (k/4)y = 9/4
Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.
Therefore, for the system to have no solution, k must be equal to 12.
As for the value of h, it can be any real number since it does not affect the slopes of the lines.
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Dr Michael prescribes 300mg a day of medicine to a patient. Each pill has 15mg of medicine. How many pills will the patient need for
Answer:
20
Step-by-step explanation:
15 x 10 = 150. 150 x 2 = 300. 300mg = 20 pills.
a produce company is packaging tomatoes into boxes containing 8 tomatoes each. how many boxes do they need to package 416 tomatoes?
Answer:
5.75
Step-by-step explanation:
If
1 box = 8 tomatoes
x boxes = 46 tomatoes
1 = 8
x = 46
You cross multiply giving you
8x = 46×1
8x = 46
8x/8 = 46/8
x = 5.75
how do i solve this?
Answer:
Hi what do you want to solve?
Step-by-step explanation:
b) If the joint probability distribution of three discrete random variables X, Y, and Z is given by, f(x, y, z)=. (x+y)z 63 for x = 1,2; y=1,2,3; z = 1,2 find P(X=2, Y + Z ≤3).
The probability P(X=2, Y+Z ≤ 3) is 13. Random variables are variables in probability theory that represent the outcomes of a random experiment or event.
To find the probability P(X=2, Y+Z ≤ 3), we need to sum up the joint probabilities of all possible combinations of X=2, Y, and Z that satisfy the condition Y+Z ≤ 3.
Step 1: List all the possible combinations of X=2, Y, and Z that satisfy Y+Z ≤ 3:
X=2, Y=1, Z=1
X=2, Y=1, Z=2
X=2, Y=2, Z=1
Step 2: Calculate the joint probability for each combination:
For X=2, Y=1, Z=1:
f(2, 1, 1) = (2+1) * 1 = 3
For X=2, Y=1, Z=2:
f(2, 1, 2) = (2+1) * 2 = 6
For X=2, Y=2, Z=1:
f(2, 2, 1) = (2+2) * 1 = 4
Step 3: Sum up the joint probabilities:
P(X=2, Y+Z ≤ 3) = f(2, 1, 1) + f(2, 1, 2) + f(2, 2, 1) = 3 + 6 + 4 = 13
They assign numerical values to the possible outcomes of an experiment, allowing us to analyze and quantify the probabilities associated with different outcomes.
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Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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what is the sum of three consecutive even numbers is 30?
Answer:
here:
you can make an equation
x + ( x + 2) + (x + 4) = 30
then by combining like items you get
3x + 6 = 30
then solve
3x = 30 - 6 ; then 3x = 24 , and x = 8
so the three numbers are 8 ; 10 and 12.
I need this by tomorrow 3.
Answer:
it's the first one girl! :)
Step-by-step explanation:
Answer:
That is correct at least to what know...
Step-by-step explanation:
divide. give the quotient and remainder 295/4
Answer:73 and remainder of 3
Step-by-step explanation:
295/4=73 and a remiander of 3
Answer:
The quotient is 73 and the remainder is 3
Step-by-step explanation:
295/4 = 73.75 you can take 73 for the quotient. Then do 295 - 73*4 = 3 to calculate the remainder.
Think it likes 12/4 = 3 => 12 - 3*4 = 0
consider the expression 5ab (a b)5ab (a b)5, a, b, plus, (, a, plus, b, ). complete 222 descriptions of the parts of the expression. the entire expression is a sum with . on its own, 5ab5ab5, a, b is the product of .
The part of the expression on its own 5ab is the product of 3 terms when the expression is 5ab(a+ b).
Given that,
The expression is 5ab(a+ b)
We have to say how many terms are in 5ab
We know that,
Take the expression
5ab(a+ b)
On its own 5ab is the product of 3 terms that is
1st term is 5
2nd term is a and the 3rd term is b
Therefore, The part of the expression on its own 5ab is the product of 3 terms when the expression is 5ab(a+ b).
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g you are dealt a hand of three cards from a standard deck of 52 cards. a. how many different combinations of 3 cards can you possibly have? b. how many different combinations of 3 aces can you possibly have?
a) There are 22,100 possible combinations of 3 cards that can be drawn from a standard deck of 52 cards.
b) There are only 4 possible combinations of 3 aces that can be drawn from a standard deck of 52 cards.
How to find the possible combinations of 3 cards?a) The number of different combinations of 3 cards from a deck of 52 cards is given by the combination formula:
C(52, 3) = 52! / (3! * (52-3)!) = 22,100
Therefore, there are 22,100 possible combinations of 3 cards from a deck of 52 cards.
How to find the possible combinations of 3 aces?b) Since there are 4 aces in a standard deck of 52 cards, the number of different combinations of 3 aces is given by the combination formula:
C(4, 3) = 4! / (3! * (4-3)!) = 4
Therefore, there are only 4 possible combinations of 3 aces from a deck of 52 cards.
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PLEASE HELP. WILL GIVE BRAINLIEST
Answer:
B is the correct answer I believe
find the x and y intercepts of the line calculator
The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3).
To determine the x-intercept, let y = 0 and solve for x in the equation y = 3x - 1.
Substitute 0 for y in the equation.0 = 3x - 1
Add 1 to both sides1 = 3x
Divide both sides by 3x = 1/3
The x-intercept of the line is (1/3, 0).
To find the y-intercept, let x = 0 and solve for y in the equation y = 3x - 1.
Substitute 0 for x in the equation.y = 3(0) - 1y = -1
The y-intercept of the line is (0, -1).
Therefore, the x-intercept is (1/3, 0), and the y-intercept is (0, -1).
Therefore, The x-intercept of the line calculator is (-1,0) while the y-intercept is (0,-3). The calculation above supports the conclusion.
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the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation: