The time for the projectile to hit the ground from the given position is 1.5 s, which is obtained using the concept of time period and velocity of a projectile.
What is a projectile?
A projectile is defined as an object that has the force of gravity as the only force occurring on it. Acceleration in the projectile motion always acts vertically.
Calculation of the time taken by projectile to hit the ground
The given parameters:
The starting velocity of the projectile, u = 48 ft / s
Height of the projectile, h = 190 ft
Model of the projectile path, h(t) = - 16(t)2 + 48t + 190 —-- 1
When the projectile hits the ground, the final velocity, v = 0
differentiating equation 1 w.r.t t, we get,
(dh(t)) / (dt) = - 32t + 48
Putting dh(t) / dt = 0, we have,
- 32t + 48 = 0
32t = 48
t = 48 / 32
t = 1.5 s
Hence, the time taken by the projectile to hit the ground is 1.5 s.
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During 1 hour of television there are 12 commercials. If you watch 3 hours of television how many commercials will there be (please explain in numbers
Answer: 36
Step-by-step explanation: the reason why is that if each hour there is 12 commercials then by the third hour there will be 36 we can also use multiplication 12x3=36 I hope that helps
tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults. in the high season, 1200 people come to the zoo every day. on a certian day, the total revenue at the zoo was $5300. for every 3 teenagers, 8 children went to the zoo. how many teenagers went to the zoo? a. 100 teenagers c. 300 teenagers b. 200 teenagers d. 400 teenagers please select the best answer from the choices provided a b c d
300 teenagers went to the zoo.
How to find the how many teenagers went to the zoo?given that
Tickets to the zoo cost $4 for children.
Tickets to the zoo cost $5 for teenagers.
Tickets to the zoo cost $6 for adults.
1200 people come to the zoo every day.
on a certian day, the total revenue at the zoo was $5300.
Let the number of adults be x.
The number of teenagers be y.
and the number of children that went to the zoo 8y/3.
Consider the question
1200 people come to the zoo every day.
x + y + 8y/3 = 1200
now, take L.C.M between y and 8y/3
[tex]x + \frac{(3y + 8y)}{3} = 1200 \\ x + \frac{11y}{3} = 1200[/tex]
now multiply with 3 to this equation.
3x + 11y = 3600 .......................(1)
tickets to the zoo cost $4 for children, $5 for teenagers and $6 for adults.
according to the question
6x + 5y + 32y/3 = 5300
Now take the L.C.M between 5y and 32y/3
6x + 47y/3 = 5300
now multiply with 3 to this equation.
18x + 47y = 15900 ...................(2)
now, multiply equation (1) with 6
18x + 66y = 21600 .....................(3)
now, subtract equation (1) in equation (2)
(18x - 18x) + (66y - 47y) = (21600 - 15900)
19y = 5700
y = 5700/19
y = 300
Hence, the 300 teenagers went to the zoo.
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jessica is saving money for a new sailboat. she has already saved $1,000 and plans to save $150 per week. this situation can be represented by the function f(x)
This situation can be represented by the function f(x)=1000+150x.
Linear Equation can be defined as the equation that have highest degree 1.
For Example : 3x+6 is a linear equation as it's highest degree is 1.
In the given question
Total money saved=initial amount+(money saved per week)*(number of weeks) …(1)
Given that
Jessica already saved = $1000
money to be saved per week = $150
let the number of weeks she will be saving money =x
let f(x) be the function used to represent money saved
Substituting the values in eqn (1) we get
f(x)=1000+150(x)
Therefore , this situation can be represented by the function f(x)=1000+150x.
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A ticket to see Pink in concert costs $113.50 $ 113.50 at regular price. An online ticket company is offering tickets at a 10% 10 % discount. Your friend bought a ticket at the discounted price but found out he can't go. He's offering the ticket to you at an additional 25% 25 % off what he paid. What price could you get the concert ticket for if you bought it from your friend? Round your answer to the nearest cent, if necessary.
Illustra
i Mathe
4. A student has these scores on their assignments. The teacher is considering droppi
a lowest score. What effect does eliminating the lowest value, 0, from the data set
have on the mean and median?
0, 40, 60, 70, 75, 80, 85, 95, 95, 100
We can conclude that the value of both mean and median increases when we remove the lowest value, 0, from the data set.
What do we mean by mean and median?The mean is the average of a set of values in mathematics and statistics. The mean can be calculated in a variety of ways, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.The median is the number in the middle of a sorted list of numbers, and it is more descriptive of the data set than the average. When there are outliers in the sequence that could skew the average of the values, the median is sometimes used instead of the mean.(1) First, we have to find the value of the mean and median with the value of 0.
(A) Mean: Sum of all values/Number of terms
= 700/10= 70(B) Median: If the number is an even number, add the two middles and divide by 2.
= 75 + 80/2= 155/2= 77.5(2) Now, we have to find the value of the mean and median without the value of 0.
(A) Mean: Sum of all values/Number of terms
= 700/9= 77.77(B) Median: If there are an odd number of observations, the number in the middle of the list is the median.
= 5th term from both sides is the middle value= 80Therefore, we can say that the value of both mean and median increases when we remove the lowest value, 0, from the data set.
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Help
me solve this pls
The constant of proportionality is 28.2.
How to calculate the constant of proportionality?It should be noted that the miles driven and the number of gallons used has been given.
Therefore, the constant of proportionality will be:
= Miles driven / Gallons used
= 930.6 / 33
= 28.2
Therefore, the constant of proportionality is 28.2.
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1. Ralf and Susie share $57 in the ratio 2:1.
(a) Calculate the amount Ralf receives.
(b) Ralf gives $2 to Susie.
Calculate the new ratio Ralf's money: Susie's money.
Give your answer in its simplest form
Ralf receives total amount of 38$.
Susie receives total amount of 19$.
What do you mean by amount?Raff gets 2x
Suzie gets x
2x + x = 57 dollars
3x = 57 dollars
x = 19 dollars
2x = 38 dollars
Aggregation attempting to calculate the time it will take by looking at the overall number or quantity.
To sum up to a total is the definition of amount. A restaurant bill for four individuals that totals $50 is an example of the costs of four meals that come to $50.
To achieve success or importance. The words "amount to anything" or "amount to something," which both indicate the same thing, are almost always used.
Amount can be a noun or a verb, as was said above. Use of the noun: Add a little water to the dish. The quantity of food required vary each dog. It is three bucks and change, to be exact.
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Does anyone know this answer??
Answer: 2y-13
Step-by-step explanation: 2y => double of lenght
-13 => less than
What is the molecular formula of a hydrocarbon with m = 108? fill in the blank 1
M+=108 is a technique to indicate a compound's molecular formula; it only contains simple numbers for each type of atom in a molecule and no structural information.
What do you mean by the term hydrocarbon?An organic chemical molecule that only contains hydrogen and carbon atoms is referred to as a hydrocarbon. Natural hydrocarbons are the building blocks of coal, natural gas, crude oil, and other significant energy sources. They burn easily and emit heat, water, and carbon dioxide when they are burned. As a result, hydrocarbons constitute a very efficient fuel source. The concerned hydrocarbon molecule contains 12 hydrogen atoms and 8 carbon atoms. The resulting chemical is C8H12. C8H12 is composed of one ring and two double bonds.
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A realtor earns a base salary of $30,000 a year +3% of her yearly sales. if victoria want to make a $60,000 annual salary this year how much will she need to sell?
The answer is 2000000$ . Victoria need to sell 2000000$ this year to achieve $60000 this annum.
As per the question , 3 percent of her yearly is equivalent to $30000 ,
If 3 percent is equivalent to $30000 , then 100 % is equal to , ( 30000 × 100/3 = 1000000 $ )
Now , we can conclude , the realtor sold worth of 1000000 $.
If Victoria want to earn 60000$ then She has to sell ( 60000 ×100/3 = 2000000 $ ) as only 3 % is equivalent to 60000 $ .
This year 2000000$ will she need to sell .
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what is the common denominator of 3/5, 4/9, 6/7?
Answer: hi! for the denominators (5, 9, 7) the least common multiple
Step-by-step explanation:
(LCM) is 315.
LCM(5, 9, 7)
Therefore, the least common denominator (LCD) is 315.
Calculations to rewrite the original inputs as equivalent fractions with the LCD:
3/5 = 3/5 × 63/63 = 189/315
4/9 = 4/9 × 35/35 = 140/315
6/7 = 6/7 × 45/45 = 270/315
helppp me solveeeeeee this ty 50+pnts
Answer:
1. 47
2. 4
Step-by-step explanation:
1. 4a + 5b
4(8) + 5 (3)
32+ 15
=47
2. 3a/2b
3(8)/2(3)
24/6
=4
Which is an example of a line segment? the edge of a book the corner of a box a beam of light the floor of a classroom
(D) the floor of a classroom is a perfect example of a line segment.
What do we mean by line segment?A line segment is a section of a straight line that is constrained by two distinct end points and contains every peak on the line between them. The Euclidean distance between the endpoints of a line segment determines its length. A closed line segment contains both endpoints, whereas an open line segment does not; a half-open line segment contains only one endpoint. In real life, a line segment can be represented by a ruler, a pencil, or a stick. The sun's rays are an illustration of a ray. The sun is the origin of the sun's rays, but there is no endpoint. A line segment is a perfect example of a classroom floor.Therefore, (D) the floor of a classroom is a perfect example of a line segment.
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The correct form of the question is given below;
Which is an example of a line segment?
(A) the edge of a book
(B) the corner of a box
(C) a beam of light
(D) the floor of a classroom
The midpoint of AB is M(3, -1). If the coordinates of A are (5, 1) what are the coordinates of B?
The coordinates of B is (1,-3) .
A midpoint formula is a formula used to identify the midpoint between two data points. Except for geometry, research in economics uses this calculation to calculate elastic moduli, etc.The Midpoint Formula is given by [tex](x, y)=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where, [tex](x_1,y_1)[/tex] are the coordinates of the first point and [tex](x_2,y_2)[/tex] are the coordinates of the second point.It is given that midpoint of AB is (3, -1) and coordinates of A is (5, 1) .
Let the coordinate of B be (x, y) .
By using midpoint formula , we get
[tex](3, -1)=(\frac{5+x}{2} , \frac{y+1}{2} )\\[/tex]
On comparing , we get the x- coordinate
[tex]\frac{5+x}{2} =3\\\5+x=6\\x=1[/tex]
On comparing , we get the y- coordinate
[tex]\frac{1+y}{2} =-1\\\\1+y=-2\\y=-3[/tex]
Hence , the coordinates of B is (1,-3) .
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Solve the formula for the indicated variable
A=LWH for H
H=
Answer:
Step-by-step explanation:
[tex]A=LWH\\[/tex]
Divide both parts of the equation by LW:
[tex]\displaystyle\\\frac{A}{LW} =H\\\\Thus,\\\\H=\frac{A}{LW}[/tex]
a game in which one person tries to trap another in a mistake, lie, or some other type of negative situation is known as a game
Answer:
"Wooden leg" is the correct answer.
Charlette reads 8 1/3 pages of a book in 10 minutes. What is her average reading rate in pages per minute?
Answer:
Step-by-step explanation:
8 1/3 pages/10 minutes = 25/3 pages / 10 minutes = 25/30 pages/minute = 5/6 page/minute
Given that m∠ABC = 143°, find m∠ABD and m∠DBC.
Answer:
m<ABD = 24°
m<DBC = 119°
Step-by-step explanation:
m<ABD + m<DBC = m<ABC
2x - 40 + 3x + 23 = 143
5x - 17 = 143
5x = 160
x = 32
m<ABD = 2x - 40 = 2(32) - 40 = 24
m<ABD = 24°
m<DBC = 3x + 23 = 3(32) + 23 = 119
m<DBC = 119°
q+10q+4q q+10q+4qq+10q+4q
3q+30q+12q = 45q
Hope that helped :)
Answer:
35q+8qq
Step-by-step explanation:
i know is ryt
but y did u separate de first 4's other q like dat?
I need help with this, I no understand how complete the activity
Answer:
You have to give proof of why the question is true by slowly giving facts about the angles
Step-by-step explanation:
Please help me get the answer i am curious .
Answer:
197miles
Step-by-step explanation:
because on avg drove 35 miles per gallon. so if we use 6x35 we would have how far he can drive on 6 gallons gas
Evaluate each expression so the equation is 8b-a and a=4 and b=6
Answer: 44
Step-by-step explanation: basically replace b with 6 and a with 4 in the expression 8b-a, which turns out to be 8(6)-(4). We're subtracting 4 from the product of 8(6), which is 48. 48-4 = 44
Joe's employer will reimburse him $0.17 per mile driven. If Joe drives 185.74 miles on a business trip, what is his mileage reimbursement? Round your answer to the nearest cent.
how do you not know how to do this
0.17 times 185 = $136.9 or $137
(0.74 is not 1 mile)
Answer:
$31.58
Step-by-step explanation:
Reimburse for 1 mile,
→ $0.17
Then reimbursement for 185.74 miles,
→ 185.74 × 0.17
→ 31.5758
→ $31.58
Hence, the answer is $31.58.
Helpppppppp 27 points MATHH
Answer:
y
Step-by-step explanation:
x^(-7) * x^7 * y^(-6)/y^(-7)=
x^(-7+7) * y^(-6-(-7))=
x^0 * y^(-6+7)=
1 * y^(7-6)=
y^1=y
Fatoumata has a collection of 280 coins. How many coins represent 20% of her
collection?
Divide/scale down to solve for the missing percent.
The coins that represent the 20 5 of her coins that is 280 are 56 coins.
We know that:
Fatoumata has a collection of 280 coins.
Now, we need to tell how many coins will be its 20 %.
For this we will calculate 20 percent of 280
So, number of coins = N will be:
N = 20 % of 280
N = 20 % × 280
N = 20 / 100 × 280
N = 2 × 28
N = 56 coins
Therefore, we get that, the coins that represent the 20 5 of her coins that is 280 are 56 coins.
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9. Use the graph of the sequence to answer the parts.
a. Is the sequence arithmetic, geometric, or neither Explain.
b. Write a recursive formula for the sequence.
c. Write an explicit formula for the sequence.
The recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19 and the explicit formula for the sequence is Tn = 22 - 3n
a. Is the sequence arithmetic, geometric, or neitherOn the given graph, we have the following points
19, 16, 13, 10, 7
These points represent the nth term of the sequence
See that the points have a common difference of -3
Hence, the sequence is an arithmetic sequence
b. Write a recursive formula for the sequence.In (a), we have
T1 = 19
d = -3
So, we have
T2 = T1 + d
This gives
T2 = T1 - 3
Express 2 as 1 + 1
So, we have
T(1+1) = T1 - 3
Express 1 as n
So, we have
T(n+1) = Tn - 3
Hence, the recursive formula for the sequence is T(n+1) = Tn - 3 where T1 = 19
c. Write an explicit formula for the sequence.In (a), we have
T1 = 19
d = -3
So, we have
Tn = T1 + (n - 1)d
This gives
Tn = 19 + (n - 1) * -3
Evaluate
Tn = 19 + 3 - 3n
Evaluate the sum
Tn = 22 - 3n
Hence, the explicit formula for the sequence is Tn = 22 - 3n
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PLEASEE HELP AGAINNNN!!!!
If a1 = 4 and an = -4an - 1 then find the value of a6
The 6th term of the geometric sequence is of -4096.
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
For this problem, we have that:
The first term is [tex]a_1 = 4[/tex].[tex]a_n = -4a_{n - 1}[/tex], hence the common ratio is q = -4.Thus the 6th term of the sequence is found as follows:
[tex]a_6 = a_1q^5 = 4(-4)^5 = -4096[/tex]
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Solve for the value of r.
52°
(4r-6)⁰
The value of r is 11°
How to determine the valueFrom the information given, we have that;
52°(4r-6)⁰Both angles are complementary angles.
It is important to note that complementary angles sum up to 90 degrees
Then, we have;
52 ° + 4r - 6° = 90°
collect like terms
4r + 46° = 90 °
4r = 90 - 46
4r = 44
Make 'r' the subject of formula
Divide both sides by 4
4r/4 = 44/4
r = 11°
Thus, the value of r is 11°
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suppose you have two bags of marbles that are in a box. bag 1 contains 7 white marbles, 6 black marbles, and 3 gold marbles. bag 2 contains 4 white marbles, 5 black marbles, and 15 gold marbles. the probability of grabbing the bag 1 from the box is twice the probability of grabbing the bag 2. if you close your eyes, grab a bag from the box, and then grab a marble from that bag, what is the probability that it is gold?
The probability that it is gold is (1/3).
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability. If two events are mutually exclusive, then there is a 0 percent chance that they will both happen at the exact moment. Two events are said to be mutually exclusive if they share no elements (their intersection is the empty set). Consequently, P(A∩B)=0.
Let A be the event that a gold marble is picked.
Let B₁ and B₂ be the event that the first bag is chosen and the second bag is chosen respectively.
Given: P (B₁ ) = 2.P(B₂)
Also, P(B₁) + P(B₂) = 1
∴ 2P(B₂) + P(B₂) =1
3P(B₂) = 1
P(B₂) = 1/3 and P(B₁) = 2/3
Now
P(A)
= P(A∩(B₁∪B₂))
= P[(A∩B₁)∪(A∩B₂)]
Probability adds up because the events are mutually exclusive
= P(A∩B₁) + P(A∩B₂)
= P(B₁). P(A/B₁) + P(B₂). P(A/B₂)
= (2/3)×(3/16) + (1/3)×(15/24)
= (1/3)
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Determining a Segment Length
how do i solve 4x-1