The ball hits the ground at a time of 1.433 seconds.
How to calculate the time until the ball hits the ground
In this problem we have the case of a ball that experiments a free fall, that is, an uniform accelerated motion due to gravity. The position of the ball in time is described by a quadratic equation:
y = y' + v' · t + 0.5 · g · t²
Where:
y' - Initial position, in meters.v' - Initial speed, in meters per second. t - Time, in seconds. g - Gravitational acceleration, in meters per square second.y - Final position, in meters.If we know that y' = 3 m, v' = 5 m / s, g = - 9.807 m / s², y = 0 m, then the time of the ball until it hits the ground is:
0 = 3 + 5 · t - 4.904 · t²
Then, by the quadratic formula:
t = - v' / g ± (1 / g) · √[v'² - 2 · g · y']
t = - 5 / (- 9.807) ± [1 / (- 9.807)] · [5² - 2 · (- 9.807) · 3]
t₁ = 1.433 s. or t₂ = - 0.424 s.
The hitting time of the ball is 1.433 seconds.
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please help me with this question
Answer:
C
Step-by-step explanation:
Hope this helped! :D
PLEASE HELP!!!!! Need answer immediately
Rania redesigned the bottom of one of the Landing pools. the equation that describes the bottom of the redesigned pool is y = 2/5x -60 in this equation y represents the depth of the water and x is the distance a guest lands away from the far wall all measurements are in inches. How deep is the water in the pool where a guest lands in the water 36 inches from the wall?
A. Y=74.4 in
B. Y=38.4 in
C. Y=45.6 in
D. Y=60 in
Answer:
C. y = 45.6 in
Step-by-step explanation:
Given equation:
[tex]y=\dfrac{2}{5}x-60[/tex]
where:
y is the depth of the water (in inches).x is the distance a guest lands away from the far wall (in inches).If a guest lands 36 inches from the wall, then x = 36.
Substitute x = 36 into the equation:
[tex]\implies y=\dfrac{2}{5}(36)-60[/tex]
[tex]\implies y=\dfrac{2 \cdot 36}{5}-60[/tex]
[tex]\implies y=\dfrac{72}{5}-60[/tex]
[tex]\implies y=14.4-60[/tex]
[tex]\implies y=-45.6[/tex]
Therefore, the depth of the water is 45.6 inches (since -45.6 inches means it is that distance below the surface).
What is the product of a number and 18
Answer:
18n
Step-by-step explanation:
Product : Multiplication result
number : n
18 : 18
of a number and 18 : n*18
The product of a number and 18 is n*18, or 18n.
2/5 kilogram of soil fills 1/3 of a container. Can 1 kilogram of soil fit in the container?
Answer:
25
yes
Step-by-step explanation:
The table shows the lowest and highest record temperatures for three cities.Which city had the greatest change in the record temperature?
The city that had the greatest change in the recorded temperature is; 115°F
How to find the change in the function table?We are given the following as the table showing the lowest and highest recorded temperatures for three cities
City: Barrow Budapest Prague
Highest Temperature: 73 103 98
Lowest Temperature: -42 -10 -16
The temperatures are given in Fahrenheit.
We have to find the cities with difference between their highest and lowest temperatures .
Change in temperature for the city of barrow = (73 - (42)) = 115°F
Change in temperature for the city of Budapest = (103 - (-10)) = 113°F
Change in temperature for the city of Prague = (98 - (-16)) = 114°F
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Complete question is;
The table gives the highest and lowest recorded temperatures for six cities. Which cities recorded a difference between their highest and lowest temperatures that is greater than or equal to 115°F? Select two answers.
A.Barrow
B.Budapest
C.Prague
D.Tehran
E.D e a t h Valley
F.London
Ajit has five coins that make up $.51 what coins does Ajit has
Answer:
Step-by-step explanation:
Ajit has 5 coins in total
1 quarter = 25 cents
1 nickel = 5 cents
2 dimes = 20 cents
1 penny = 1 cent
The required coins that Ajit has are 1 quarter, 1 nickel, 2 dimes, and 1 penny.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let,
Quarter = x
Nickle = y
Dimes = z
penny = a
So, accoding to the quesiton
0.25x + 0.5y + 0.10z + 0.01a = $0.51
Ajit has 5 coins in total
So that the sum of x + y + z + a = 5
Apply hit and trial,
1 quarter = 25 cents
1 nickel = 5 cents
2 dimes = 20 cents
1 penny = 1 cent
Total coins value = $0.51
Similarly, various cases can be determined.
Thus, the required coin that Ajit has is 1 quarter, 1 nickel, 2 dimes, and 1 penny.
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solve the next fractions
Answer:
[tex]-\frac{19}{50}[/tex]
Step-by-step explanation:
[tex]-\frac{\frac{38}{25} }{4}[/tex]
[tex]-\frac{38}{25 * 4}[/tex]
[tex]-\frac{19}{50}[/tex]
Gayla Ojeda is trying to decide which of two different kinds of candy to sell in her retail candy store. One type is a name-brand candy that will practically sell itself. The other candy is cheaper to purchase but does not carry an identifiable brand name. Ms. Ojeda believes that she will have to incur significant advertising costs to sell this candy. Several cost items for the two types of candy are as follows: Brandless Candy Name-Brand Candy Cost per box $ 4.00 Cost per box $ 6.00 Sales commissions per box 1.00 Sales commissions per box 1.00 Rent of display space 900.00 Rent of display space 900.00 Advertising 3,000.00 Advertising 2,000.00
Required Identify each cost as being relevant or irrelevant to Ms. Ojeda’s decision and indicate whether it is fixed or variable relative to the number of boxes sold.
The costs as being relevant to Mrs. Ojeda's decision are Rent of display space 900.000 advertisement 3000 and irrelevant costs are commission,
How to determine relevant costsWe should know that the cost that differs from other costs in terms of alternative decision is called relevant cost, the irrelevant cost does not change as the result of a management decision.
Sales commission by brand 1.00 ........ Irrelevant to number of boxes
Rent of display space =900.000 ............ Relevant to number of boxes
Advertising cost = 3,000.00........................ Relevant to number of boxes
Cost per unit = 6.00 .................................. irrelevant to number of boxes
cost per unit of $4.00 ...................... Relevant to number of boxes
Fixed cost include the following
Rent of display 900.000
Variable costs are
Sales commission 1.00
Advertisement 2000
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Factory XYZ has already produced 280 units today. The factory produces 92 units per hour. Today's goal is to produce at least
1,108 units. If x represents the number of production hours, which of the following inequalities symbolizes this situation?
The inequlity according to the given statement will be equal to 280 + 92(x) ≥ 1,108.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the given information in the question,
Rate of production per hour by the factory = 92 per hour
The factory has to produce at least 1,108 units.
Number of units produced today = 280
Assume x is the number of production hours,
Then, the equation will be,
280 + 92(x) ≥ 1,108 units.
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Can you please help me with this
Answer: 100 ft sq.
Step-by-step explanation:
The equation for surface area is S = 2lw + 2lh + 2wh.
l=2, h=7, w=4.
S = 2(2)(4) + 2(2)(7) + 2(4)(7)
S = 16 + 28 + 56
S = 100
Find the slope-intercept equation of the line that passes
through (5, -3) and has a slope of -3.
Only need the answer
Answer:
y=-3x+12
Step-by-step explanation:
Plug in (5, -3) for x in the slope-intercept form. This gives -3 = 5*-3 + b, or -3 = -15 + b. We want to solve for b, so add 15 to both sides, giving b = 12.
Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, and swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
what distance did stanley swim run and bike
PLEASE HELP
The time did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles is 1.5 hrs, 1 hrs, 3 hrs. The distance is 13.5 miles, 2.5 miles , 48 miles.
How to find the distance and time?Let t represent the time he ran
Let t -.5 represent time he swam
Let 2t represent the biking time
Hence,
9t + 2.5(t-.5) + 16(2t) = 64
9t + 2.5t - 1.25 + 32t = 64
Collect like terms
43.5t = 64 + 1.25
Divide both side by 43.5t
t = 65.25/43.5
t = 1.5 hrs (Time he ran)
So,
Time he swam
t -.5 where t is 1.5 hrs
1.5-.5 = 1 hr (Time he swam)
Biking time
2t where t is 1.5 hrs
2(1.5) = 3 hrs (biking time)
Distance of each
1.5(9) = 13.5 miles (running)
1(2.5) = 2.5 miles (swimming)
3(16) = 48 miles (biking)
Total distance = 13.5 miles + 2.5 miles + 48 miles
Total distance = 64 miles
Therefore the time is 1.5 hrs, 1 hrs, 3 hrs and the distance is 13.5 miles, 2.5 miles , 48 miles.
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Solve the equation 8 −7/10 c = 6−1/5 c for c. please show how you got it
Answer:
the answer is 0.5
Step-by-step explanation:
Write 64 × 32 as a power of 2.
Answer:
2⁶×2⁵
Step-by-step explanation:
64×32
= 2⁶×2⁵ ans
thank you for questioning ....
Find the slope of the line that passes through all of the points
on the table.
X
2
7
12
17
y
2
-3
-8
-13
Only need the answer
Answer:
Step-by-step explanation:
so first you need to find the slope
you can draw the line on a graph and use a protractor
final answer=46 degrees
Answer:-5/-19
the answer is -5/-19 and can not be simplify
Negative and zero exponents 36 x¹⁵y²⁰/ 12 x³y⁵=
The negative and zero exponents of the given exponents will be 3 x¹⁵y²⁰ × x⁻³y⁻⁵z⁰.
What is the law of indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
The mathematics of power or exponent of any number is called indices.
For example 5³ = 5²5 here we break 5³ into 5² and 5 so it is called the law of indices.
Another example could be 7² = 7³/7 here we divide to obtain power 2.
As per the given,
36 x¹⁵y²⁰/ 12 x³y⁵ = [(36/12) (x¹⁵y²⁰)/(x³y⁵)]
36 x¹⁵y²⁰/ 12 x³y⁵ = 3x¹⁵y²⁰ × x⁻³y⁻⁵z⁰
Hence "The negative and zero exponents of the given exponents will be 3 x¹⁵y²⁰ × x⁻³y⁻⁵z⁰".
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Please helppp its worth 10
Answer: Choose 15 and 20
Step-by-step explanation:
Both 15 and 20 will work because if you subtract 8 from both, you will get 7 and 12 and both numbers are still greater than 5.
Help quick if you can!
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Function f is an exponential function
By what factor does the output value increase as each input value increases by 1?
Answer:
4
Step-by-step explanation:
You are given a table of function values in which x increases by 2, and you want to know the factor by which f(x) increases when x increases by 1.
FactorLet k represent the factor by which f(x) increases when x increases by 1. This means ...
f(2) = k·f(1)
f(3) = k·f(2) = k·(k·f(1)) = k²·f(1)
64 = k²·4
k² = 64/4 = 16
k = √16 = 4
The output value increases by a factor of 4 as the input value increases by 1.
__
Additional comment
The table values would also be obtained if the factor of increase were -4. That is, f(x) = -(-4)^x would give the same table. In that case, f(x) would not be a continuous function.
what is the raito 40 to 18
Answer:
20:9
Step-by-step explanation:
Here we will simplify the ratio to 40:18 for you and show you how we did it.
To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.
The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:
20:9
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Jack bought a tree to plant in his front yard. The tree grows at an approximate rate of 9 inches per year. After 4 years, the tree is 5 feet tall. Write an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years. Then, find the number of years it will take the tree to reach 20 feet
The equation in slope-intercept form to find the height is y = 0.75x + 5 and the number of years it will take the tree to reach 20 feet is 24
The linear equation to find the height (in feet) of the treeThe given parameters in the question are
Growth = 9 inches per year
Length of the tree after 4 years = 5 feet
Convert inches to feet
So, we have
Growth = 0.75 feet per year
A linear equation of this scenario is represented as
Length = Growth * Number of years + Initial length
So, we have
y = Growth * x + Initial length
This gives
5 = 0.75 * 4 + Initial length
Evaluate
Initial length = 2
So, the equation is
y = 0.75x + 2
The number of years it will take the tree to reach 20 feetThis means that
y = 20
Recall that
y = 0.75x + 2
So, we have
0.75x + 2 = 20
Evaluate
0.75x = 18
Divide by 0.75
x = 24
Hence, the number of years is 24
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-2.3x + 9.3x = 19.6
Show your work.
Answer:
here you go !!
hope his helps
y=m×+b
1.
m=6
b=12
2.
m=20
b=4
3.
m=10
--
16
b=8
Answer:
m=20
b=4
m=10
Step-by-step explanation:
An underwater robot takes a picture at an elevation of -8 5/12m relative to sea level. What is the robot’s elevation expressed sans decimal?
The value of the expression to the nearest tans is -8.4
What is rounding a number?Adjusting a number's digits so that it produces an approximation of a result is known as rounding
The given expression is -8 (5/12).
Rewrite the expression:
-8 (5/12)
= - 101/12
= - 8.4
Hence, the value of the expression to the nearest tans is -8.4
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How do you solve 3x2-5(-2)
Answer:
Step-by-step explanation:
you do the math
Answer:
16
Step-by-step explanation:
I'm solving this question according to PEMDAS.
3x2-5(-2)
3x2+10
6+10
16
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Find the value of X that makes m n
The value of x is 6 degree that makes m || n.
What is parallel lines?
Parallel lines are coplanar, straight lines in geometry that don't cross at any point. When two planes in the same three-dimensional space are parallel, they never cross. Curves that maintain a set minimum distance from one another and do not touch or intersect are said to be parallel curves.
(8) Given: m || n
We have to find the value of x that makes m || n.
The lines m and n are divides by the line l of angle 90 degree.
⇒ 16x - 6 = 90
Add 6 on both sides,
16x - 6 = 90 + 6
16x = 96
Divide both sides by 16
16x/16 = 96/16
x = 6
Hence, the value of x is 6 degree that makes m || n.
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Find the Banzhaf power distribution of the weighted voting system
[30: 17,15,13,1]
Give each player's power as a fraction or decimal value
p₁ ____
p₂ ____
p₃ ____
p₄ ____
These are the possible combination of winning players:
{P1, P2}( weight :32) {P1, P2, P4} (weight: 31)
{P1, P2, P3} (weight: 45) {P1, P2, P3, P4} (weight: 46)
{P1, P3, P4} (weight: 31) {P1, P3} (weight: 30)
What is the distribution?
The mathematical expression known as a distribution function expresses the likelihood that a system would adopt a certain value or range of values. The traditional examples include games of chance.
The voting system tells us that the quota is 30, that Player 1 has 17 votes (or equivalently, has a weight of 17), Player 2 has 15 votes, Player 3 has 13 votes, and Player 4 has 1 votes.
A coalition is any group of one or more players. What we're looking for is winning coalitions - coalitions whose combined votes (weights) add to up to the quota or more. So the coalition {P3, P4} is not a winning coalition because the combined weight is 13 + 1 = 14, which is below the quota.
So we look at each possible combination of players and identify the winning ones:
{P1, P2}( weight :32) {P1, P2, P4} (weight: 31)
{P1, P2, P3} (weight: 45) {P1, P2, P3, P4} (weight: 46)
{P1, P3, P4} (weight: 31) {P1, P3} (weight: 30)
Hence, these are the possible combination of winning players.
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David was at the
airport for 2 hours.
He spent 45 minutes of
that time waiting in
the security line.
What percentage of
time did he spend in
the security line?
Answer:
37.5%
Step-by-step explanation:
2 hours = 120 mins
(Units need to be the same in order to work with them)
45/120 = x/100
45 * 100 = 120x
x= 37.5%
Complete the sentence using sum, difference, product, qoutient, or factor
1- The expression 20 + (8/2) is the _____ of 20 and (8/2). The expression 8/2is the _____ of 8 and 2.
2- The expression 11 x 6 has two ___, namley 11 and 6, because it is the _____ of those expressions.
Answer:
1- The expression 20 + (8/2) is the 30 of 20 and (8/2). The expression 8/2 is the 10 of 8 and 2.
2- The expression 11 x 6 has two 6s, that is, 11 and 6, because it is the 66 of those expressions.
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A regular polygon is shown, with one of its angle measures labeled a.
If ma = (5z + 65)°, find the value of z.
Oz=15
Oz=20
Oz=23
Oz=41
a
Answer:
z = 15
Step-by-step explanation:
I got it right on my exam ( i luckily guessed it, but trust me.)