A volleyball player serves the ball and makes contact 6 feet above the ground with an initial vertical velocity of 20 ft./s how long will it be before the ball hits the ground
Answers
Answer:
1.5 seconds
Step-by-step explanation:
You want to know when a ball launched from a height of 6 ft with a vertical velocity of 20 ft/s will hit the ground.
Ballistic motionThe equation for the height of the ball is ...
h(t) = -16t² +v0·t +h0
where v0 and h0 are the initial vertical velocity and height, respectively.
ApplicationFor the given parameters, the equation is ...
h(t) = -16t² +20t +6
The solution to h(t) = 0 can be found using the quadratic formula:
0 = -16t² +20t +6 . . . . . . . a=-16, b=20, c=6
\(t=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-20\pm\sqrt{20^2-4(-16)(6)}}{2(-16)}\\\\\\t=\dfrac{20\pm\sqrt{784}}{32}=\dfrac{20\pm28}{32}=\{-0.25,1.5\}\)
The ball will hit the ground after 1.5 seconds.
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Related Questions
The original price of a phone was reduced by $200.
If p = the phone's original price in dollars, which algebraic expression
represents the reduced price?
Answers
Answer:
B. p - 200
Step-by-step explanation:
Start with the original price, p.
When the price is reduced by $200, you are taking away $200 from the price, so you need to subtract $200 from the original price, p.
Answer: B. p - 200
A supermarket gives a special
offer to cus-
tomers who purchase at least a pack of
vests and a pack of T-shirts. The offer is
restricted to a total of 7 of these items.
a) Write down three inequalities which
must be satisfied.
(b) Draw the graphs of the above condi-
tions and shade the region that satis-
fies them.
(c) If the supermarket makes a gain of N5
on each vest and N8 on each T-shirt,
find the maximum gain made by the
supermarket.
Answers
A) the three inequalities that must be satisfied are:
The number of vests, represented by x, must be a non-negative integer: x ≥ 0.The number of T-shirts, represented by y, must also be a non-negative integer: y ≥ 0.The total number of vests and T-shirts must not exceed 7: x + y ≤ 7.B) Graph shaded and satisfying all conditions is attached.
What is an inequality?An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.
It is most commonly used to compare the sizes of two numbers on a number line.
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Problem 2 A local girls soccer team decides to sell chocolate bars to raise some money for new uniforms. The girls are to receive 10% of all the sales they make. Once the bars arrive the girls see that they have to sell each bar for $2.50. They think this price is too high. Are the girls being altruistic or is there something else going on? (Assume the girls face a downward sloping demand curve).
Answers
The girls' reluctance to sell the chocolate bars at $2.50 per bar may not be purely altruistic but instead driven by their understanding of market demand and the potential impact of pricing on sales volume.
The girls' perception that the selling price of $2.50 per chocolate bar is too high may not necessarily indicate altruism but rather a response to market demand. When faced with a downward sloping demand curve, higher prices can lead to lower sales volume.
The girls' concern may be rooted in their understanding that a higher price could potentially deter potential buyers from purchasing the chocolate bars, resulting in lower overall sales and potentially lower earnings for themselves.
By considering the demand curve, the girls are likely taking into account the price elasticity of demand. Elastic demand implies that a change in price will have a relatively larger impact on the quantity demanded. If the girls perceive the demand for chocolate bars to be elastic, they might believe that a lower price would attract more customers and lead to increased sales volume.
Their concerns could also be motivated by their desire to achieve a balance between maximizing their sales and ensuring a reasonable profit margin. They might be aware that setting the price too high could lead to reduced demand and lower overall revenue, thereby limiting their earnings.
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Suppose on a highway with a speed limit of 65 mph, the speed of cars are independent and normally distributed with mean speed μ = 65 mph and standard deviation σ = 5 mph. What is the standard deviation for the sample mean speed in a random sample of n = 100 cars?
Answers
The standard deviation for the sample mean speed in a random sample of 100 cars is 0.5 mph.Therefore, the standard deviation for the sample mean speed in a random sample of n = 100 cars is 0.5 mph.
The standard deviation for the sample mean speed in a random sample of n = 100 cars can be calculated using the formula:
σ/√n
where σ is the population standard deviation (given as 5 mph) and n is the sample size (given as 100 cars).
Plugging in the values, we get:
σ/√n = 5 mph/√100 = 5 mph/10 = 0.5 mph
Therefore, the standard deviation for the sample mean speed in a random sample of n = 100 cars is 0.5 mph.
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Express the repeating decimal as the ratio of two integers. 1.34 789=1.34789789789… The ratio of two integers is (Type an integer or a fraction.)
Answers
The repeating decimal 1.34789789789... can be expressed as the ratio of two integers: 1346.55 / (10^11 - 1).
To express the repeating decimal 1.34789789789... as the ratio of two integers, we can use the method of converting repeating decimals to fractions.
Let's denote the repeating decimal as x = 1.34789789789...
To convert this repeating decimal to a fraction, we'll follow these steps:
Step 1: Let's multiply x by a power of 10 to eliminate the repeating part. Since the repeating part has 11 digits, we'll multiply x by 10^11.
10^11x = 1347.89789789...
Step 2: Now, let's subtract the original x from the equation obtained in Step 1 to eliminate the repeating part:
10^11x - x = 1347.89789789... - 1.34789789789...
Simplifying the equation:
(10^11 - 1)x = 1346.55
Step 3: Divide both sides of the equation by the coefficient of x to solve
for x:
x = 1346.55 / (10^11 - 1)
Since the numerator and denominator are both integers, we have expressed the repeating decimal as the ratio of two integers.
Therefore, the ratio of two integers that represents the repeating decimal 1.34789789789... is:
1346.55 / (10^11 - 1)
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Which equation best represents the linear function formed by the table?
Answers
Answer:
what table?
Step-by-step explanation:
What’s the answer I need it ASAP
Answers
Answer:
(3) HL is an angle bisector.
Vincent is watching a movie that last one hour and 37 minutes.he has watched 52 minutes so far how many minutes are left in the movie
Answers
lasts= 1 hour 37 minutes
watched= 52 mins
to find:how many minutes left in the movie.
solution:to find the time left just find the difference.
\(52 - 37\)
\( = 15\)
\(60 - 15\)
\( = 45\)
therefore, there's 45 mins left in the movie.
Answer:
\(45 \: minutes\)
Step-by-step explanation:
Before you can find what's left you have to ensure that both values you are working on are in the same unit. In this question you are working with hours and minutes and as such you need to ensure that you either convert the hours into minutes, or minutes into hours. Let's change the hours into minutes.
\(1hr \: \: 37min \\ 1hr = 60mins \\ 60 + 37 = 97mins\)
Since the movie in 97 mins and he watched 52 mins of it. The time left is
\(97 - 52 = 45 \: min\)
Find the sum of 7489, 4223 and 245
Answers
Answer:
the sum of 7489, 4223 and 245 is :
11,957
Step-by-step explanation:
The word "sum" means to add so I just added it .
The sum of given numbers is 11957.
What is sum of numbers?In mathematics, summation is the addition of a sequence of any kind of numbers, called addends or summands; the result is their sum or total.
The given numbers are 7489, 4223 and 245.
Here, sum =7489+4223+245
= 11957
Therefore, the sum is 11957.
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A teacher recorded unit 4 test scores from her class.
58, 64, 66, 70, 71, 75, 77, 80,
84, 85, 87, 90, 93, 95, 96.
Find the percentile rank of a score of 71 on this street -
Victor is in the 60th percentile, what was his score?
Answers
The percentile score of 71 on test score is 27 and the score of victor is 71.
What is Statistics?Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
Given, the teacher recorded unit 4 test scores from class.
The scores are: 5,4,66,70,71,75,77,80,84,85,87,90,93,95 and 96.
A percentile is a value on a scale of one hundred that indicates the percent of a distribution that is equal to or below it.
The percentile rank of a score of 71 on the test is find by formula
\(R_{100} =\frac{100(N < )+\frac{1}{2} }{N}\)
=100×4+1/2(1)/15
=400+0.5/15
=400.5/15
=26.7=27th
Now we need to find the score of victor who has 60th percentile.
60=Score/15
score=71
Hence, the percentile score of 71 on this test score is 27 and the score of victor is 71.
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3 căn x bằng 6
căn x trừ 3 bằng 5
Answers
Answer:
x=4
x=64
Step-by-step explanation:
3\(\sqrt{x}\)=6 => \(\sqrt{x}\) = 2 => x=4\(\sqrt{x}\) - 3 = 5 => \(\sqrt{x}\) = 8 => x=64What is the slope of this graph?
Answers
To the nearest tenth of a foot, what is the thickness, T, of the cantilever at x=6 feet?
Answers
The nearest tenth of a foot, the thickness T of the cantilever at x = 6 feet is 7.6 feet.
The given equation for the bottom edge of the cantilever is y = 2Vx, where V is the height of the cantilever. Therefore, the height of the cantilever is:
V = y / (2x)
At x = 6 feet, the value of y is:
y = 2Vx = 2(3.2) = 6.4 feet
To find the thickness T at x = 6 feet, we can use the Pythagorean Theorem:
T² = b² - y²
where b is the height of the cantilever. We have already calculated V to be 3.2 feet, so:
b = 3.2 + y = 3.2 + 6.4 = 9.6 feet
Substituting these values into the equation for T², we get:
T² = (9.6)² - (6.4)² = 57.76
Taking the square root of both sides, we get:
T ≈ 7.6 feet
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Point Y is the circumcenter of triangle DEF.
Point Y is the circumcenter of triangle D E F. Lines are drawn from the points of the triangles to point Y. Lines are drawn from point Y to the sides of the triangle to form right angles and line segments Y L, Y M, and Y N. The line segments cut the sides of the triangles into 2 equal parts.
Which statement is true about point Y?
Point Y is the center of the circle that passes through points D, F, and N.
Point Y is the center of the circle that passes through points M, N, and E.
Point Y is the center of the circle that passes through points L, M, and N.
Point Y is the center of the circle that passes through points D, E, and F.
Answers
Answer:
Point Y is the center of the circle that passes through points D, E, and F.
Step-by-step explanation:
Point Y is the center of the circle that passes through points D, E, and F. Therefore, option D is the correct answer.
What is circumcenter of a triangle?The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter.
If we draw a circle through all the vertices of a triangle then the circle obtained is the circumcircle of the given triangle.
And the circumcenter is the center point of the circumcircle which is obtained by the point of intersection of the perpendicular bisector of all the sides of the triangle.
Therefore, since Y is the circumcenter of the triangle DEF, so, point Y is the center of the circle that passes through points D, E, and F.
Therefore, option D is the correct answer.
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Which expression equals value 4? OA) (4+5) 3² - 9 ÷ 3² B) 4+5 (3²-9) ÷ 3² - OC) 4+5.3 (9÷3²) OD) 4+5.3² - 9-3 -
Answers
Answer:
B)
Step-by-step explanation:
4+5*(3^2-9)/3^2=4+5*0/9=4
PLEASE HELP WITH ALL QUESTIONS WORTH ALOT OF POINTS
Answers
Answer:
1) -311
2) 26 p^6 h^4
3) 18 x^2 y^5 z^7
4) -20 c^4
is correct answer.
i guess you dont know this '' ^ '' . this mean take that number in power,
All the best
Step-by-step explanation:
need to find the volume in both terms of π and the nearest tenth
Answers
Answer: why do u need help again? this is easy boy
Step-by-step explanation:
Delia works from 8:00 A.M. to 4:30 P.M. and has one hour each day forlunch. How much does she earn each week if she gets paid $4.80 per hour?a. $216b. $36c. $180d. $168
Answers
Assuming Delia works 5 days a week:
Since she works from 8:00 to 16:30, she works 8.5 hours a day. However, she takes one hour off for lunch, so in reality she works 7.5 hours a day.
Since we're assuming she works 5 days a week, she works
\(7.5\cdot5=37.5\)hours a week. If her hourly wage is $4.80, then she earns
\(37.5\cdot4.80=180\)so she earns $180 per week. Option c. is the correct answer.
Suppose that angle ABC and angle DEF are both supplementary to angle XYZ, and angle XYZ is a right angle. Name all of the remaining right angles
Answers
The remaining angles of angle ABC and angle DEF are right angles since they add up to 90 degrees.
Under the condition that angle ABC and angle DEF are both supplementary to angle XYZ, and angle XYZ is a right angle, then angle ABC and angle DEF are both right angles.
This is due to the supplementary angles add up to 180 degrees and since angle XYZ is a right angle (90 degrees), then angle ABC and angle DEF must be right angles since they add up to 90 degrees.
Supplementary angles are known as two angles whose sum is 180 degrees . For instance, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°. When supplementary angles are put together, they form a straight line and a straight angle.
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Please find all stationary solutions using MATLAB. I get how to do this by hand, but I don't understand what I'm supposed to do in MATLAB. Thanks!dx = (1-4) (22-Y) Rady = (2+x)(x-2y) de - this Find all stationary Solutions of System of nonlinear differential equations using MATLAB.
Answers
The first two arguments of the "solve" function are the equations to solve, and the last two arguments are the variables to solve for.
To find all the stationary solutions of the given system of nonlinear differential equations using MATLAB, we need to solve for the values of x and y such that dx/dt = 0 and dy/dt = 0. Here's how to do it:
Define the symbolic variables x and y:
syms x y
Define the system of nonlinear differential equations:
dx = (1-4)(2-2y);
dy = (2+x)(x-2y);
Find the stationary solutions by solving the system of equations dx/dt = 0 and dy/dt = 0 simultaneously:
sol = solve(dx == 0, dy == 0, x, y)
sol =
x = 4/3
y = 1/3
x = -2
y = -1
x = 2
y = 1
The stationary solutions are (x,y) = (4/3,1/3), (-2,-1), and (2,1).
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Bull Run Bicycles is having a sale. All bikes are 20% off. What is the sale price of a bike that is $184.99?
Answers
36.99 or 37 rounded, 184.99 x .20 gets you the answer, basic maths
6. What's the Error? Abram said the table at the right
does not show a function. Explain the error.
Answers
Which of the following correlation coefficients represents the strongest relationship between two variables? -.75 +.60 .00 +.30
Answers
The correlation coefficient that represents the strongest relationship between two variables is -0.75.
In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.
The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.
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Helpppppppppppppppppp plssssssssssss
Answers
Answer:
Step-by-step explanation:
watch da help vid
find the value of x in the Triangle shown below 6. 10
Answers
We can use Pythagoras's theorem expression:
\(h^2=a^2+b^2\)Where h is the hypotenuse of the triangle and a and b are its legs, in this case, we have the value of the length of one leg and the value of the length of the hypotenuse, then we can solve for the other leg length like this:
\(\begin{gathered} h^2=a^2+b^2 \\ h^2-a^2=b^2 \\ b^2=h^2-a^2 \\ b=\sqrt[]{h^2-a^2} \end{gathered}\)Now let's replace the values from the figure, b is x, h is 10 and a is 6
\(\begin{gathered} b=\sqrt[]{h^2-a^2} \\ x=\sqrt[]{10^2-6^2} \\ x=\sqrt[]{100-36} \\ x=\sqrt[]{64} \\ x=8 \end{gathered}\)Then, x equals 8
PLEASE HELPP!!! (look at pic)
Answers
Answer:
1/5 miles per minute
Step-by-step explanation:
1/10 is equivalent to 1/2 so you multiply both by 2:
1/5 is equivalent to 1
Is the following statement true or false statements
Answers
Answer:
false
Step-by-step explanation:
not 100% certain though
How do you find the surface area of an acute triangle?
Answers
The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.
According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.
The area of the acute triangle can be calculated by the formula:
area of acute triangle = (1/2) × b × h
b = base, and
h = height
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- Please help this is a Rational Inequality problem
1. A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s(t) = -16t^2 + 64t + 400. (solve step by step pls)
2. In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.
Answers
1. The solution for the equation is -16t² + 64t > 0
2. The interval notation for the equation is (0, 4)
Given,
The height of the building = 400 feet
A ball is thrown straight up from the top of the building.
The initial velocity of the ball = 64 feet/second
The height of the object is modeled by, s(t) = -16t² + 64t + 400
1. Solution for the equation:
s(t) > 400
So,
-16t² + 64t + 400 > 400
Add -400 to both sides
ie, -16t² + 64t + 400 - 400 > 400 - 400
We get,
-16t² + 64t > 0
2. Now find the interval notation for the equation:
-16t² + 64t > 0
Here, 64/16 = 4
So,
-16t (t - 4) > 0
Now,
t = 0 and t - 4 = 0
The interval notation for the equation is (0, 4)
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How do you simplify a fraction formula?
Answers
The simplest form of a fraction is when the numerator (top number) and denominator (bottom number) have no common factors.
A fraction is a mathematical expression that represents a part of a whole, where a numerator is divided by a denominator. To simplify a fraction, we must divide both the numerator and the denominator by the same number until we cannot divide any further. To simplify a fraction, you must divide both the numerator and denominator by their greatest common factor (GCF).
For example, let's simplify the fraction 24/36. The GCF of 24 and 36 is 12. So, dividing both numbers by 12 will give us the simplified fraction 2/3.
24 ÷ 12 = 2
36 ÷ 12 = 3
Therefore, the simplified fraction of 24/36 is 2/3.
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