Using the equation, the time the object will hit the ground after it is launched is 3.4 seconds.
To model the path of a projectile launched from ground level (h = 0), we can set h = 0 in the equation for y:
[tex]y = (v_0sin \theta)t - 16t^2[/tex]
Therefore, the parametric equations for the path of the projectile are:
[tex]x = (v_0cos\theta)t \\y = (v_0sin \theta)t - 16t^2[/tex]
Substituting θ = 40∘ and v0 = 128 feet per second, we get:
[tex]x = (128 cos 40^o)t\\y = (128 sin 40^o)t - 16t^2[/tex]
To determine the maximum height, we need to find the vertex of the parabolic path, which is given by:
t = -b/2a
where a = -16, b = 128 sin 40∘, and c = 0 (since the projectile starts and ends at ground level). Substituting the values, we get:
t = -128 sin 40∘ / (2*(-16)) = 2.3 seconds (approx)
The maximum height can be found by substituting this value of t into the equation for y:
y = (128 sin 40∘)(2.3) - 16(2.3)^2 = 230.3 feet (approx)
Therefore, the maximum height is 230.3 feet and it is reached at 2.3 seconds.
To find the horizontal distance at this point, we can substitute the value of t into the equation for x:
x = (128 cos 40∘)(2.3) = 172.8 feet (approx)
Therefore, the approximate horizontal distance the object is at this point is 172.8 feet.
To determine the time the object will hit the ground after it is launched, we need to find the time when y = 0:
[tex]0 = (128 sin 40)t - 16t^2[/tex]
Solving for t using the quadratic formula, we get:
t = 0 or t = 8 sin 40∘ / 2 = 3.4 seconds (approx)
Therefore, the time the object will hit the ground after it is launched is 3.4 seconds.
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Use the simple interest formula i= prt. What is the value of i, if p=$6000, r=5%, and t= 3 years
Answer: $6,945.75
6000(1+.05)^3
Knowing that P = X x i / 100, C = main, e = Rate. Calculate the rate for the formula: A principal of R $ 105,000.00 obtained a percentage of R $ 35,000.00. What is the rate applied?
Answer:
Interest expressed as a percent of the principal will be referred to as an ... earned on an investment of P at the annual interest rate r for a period of t ... (c) monthly, (d) weekly, (e) daily, and (f) continuously at a nominal annual ... and substitute x = 3−2y in for x in second equation and find 4y−3(3−2y) = 1.
Step-by-step explanation: sorry if that doesn't help :(
Simplify the expression, sin2x + sinx + cos2x - 1
Answer:
2sinxcosx + sinx +1-2sin²x-1
2sinxcosx+sinx-2sin²x
sinx (2cosx+1-2sinx)
Does anyone know the answer to this?
Answer:
0.4032
Step-by-step explanation:
1. We assume, that the number 72 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 72 is 100%, so we can write it down as 72=100%.
4. We know, that x is 0.56% of the output value, so we can write it down as x=0.56%.
5. Now we have two simple equations:
1) 72=100%
2) x=0.56%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
72/x=100%/0.56%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
Answer:
no
Step-by-step explanation:
your a fattie
Please help <3
Don’t guess
Answer:
median
Step-by-step explanation:
answer is the best measure of center for this dot plot is a median
answer options d
tina solved a quadratic equation and found the solution to be -3/2 and 6 which of the following is equivalent to the quadratic equations that tina solved
Answer:
[tex]x^2-\dfrac{9}{2}x-9=0[/tex]
Step-by-step explanation:
The solutions of a quadratic equation are :
x = -3/2 and x = 6
or we can write it as :
[tex]x+\dfrac{3}{2}=0\ and\ x-6=0\\\\(x+\dfrac{3}{2})(x-6)=0[/tex]
Multiplying both values,
[tex](x+\dfrac{3}{2})(x-6)=0\\\\x^2-6x+\dfrac{3}{2}x-9=0\\\\x^2-\dfrac{9}{2}x-9=0[/tex]
Hence, the required quadratic equation is [tex]x^2-\dfrac{9}{2}x-9=0[/tex].
A barrel contains 56 litres of kerosene. It has two taps. One tap draws 500 ml every 6 minutes. After first 5 litres are drawn from the barrel, the second tap also starts. It draws 1 litre in every 5 minutes. How many hours will be taken in all to empty the tank?
Answer:
The tank will empty in 4 hours.
Step-by-step explanation:
Since a barrel contains 56 liters of kerosene, and it has two taps, one tap that draws 500 ml every 6 minutes and after first 5 liters are drawn from the barrel, the second tap also starts, and it draws 1 liter in every 5 minutes, to determine how many hours will be taken in all to empty the tank, the following calculation must be performed:
0.5 x X = 5
X = 5 / 0.5
X = 10
10 x 6 = 60
1 hour = 51 liters
1 hour 30 minutes = 51 - (1 x 6) - (0.5 x 5) = 42.5
2 hours = 42.5 - (1 x 6) - (0.5 x 5) = 34
2 hours 30 minutes = 34 - (1 x 6) - (0.5 x 5) = 25.5
3 hours = 25.5 - (1 x 6) - (0.5 x 5) = 17
3 hours 30 minutes = 17 - (1 x 6) - (0.5 x 5) = 8.5
4 hours = 8.5 - (1 x 6) - (0.5 x 5) = 0
Therefore, the tank will empty in 4 hours.
please help ASAP ! ! !
What is the circumference of a circle with a diameter of 58 centimeters?
Step-by-step explanation:
by using the formula of circumference with diameter pie ×diameter
How much it is 16.8 ÷ 0.2 =
Answer:
84
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
16.8 would be multiplied by 5 since 0.2 is 1/5 of 1, therefore it would like
16.8 times 5 = 84
A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?
Answer:
1,236.33
Step-by-step explanation:
Answer:1,236.33
Step-by-step explanation:
Is the 645 the highest score in the 2018 3rd grade state test
Answer:
I think it is 655.
Step-by-step explanation:
How would you graph this function?
[tex]y=-2x^2-16x-30[/tex]
Answers Attached
__________________________________________________________
calculate the surface area of the net
[tex]\red {incomplete \: question}[/tex]
To survey clients at a massage-therapy spa, a researcher alphabetically lists all of the customers the spa had last month. The researcher sends a survey to the 13th person on the list (with the number 13 being randomly chosen), then surveys every 20th customer after that. Which sampling method was used?
cluster sampling
simple random sampling
stratified random sampling
systematic random sampling
Answer:
Systematic Random Sampling
Step-by-step explanation:
Edge 2021
Answer:
Systematic Random Sampling
Step-by-step explanation:
Took the test.
Solve algebraically:
1. e^-3x=2
2. ln(3x-5)=ln11+ln2
3.logof4(x-1)+logof4(x+2)=1
4.8^x=4^x-3
Answer:
Step-by-step explanation:
1) 2e^3
2) x = 9
3) ln (16f^2o^2)
4) No solution
A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?
#2Need help ???!!! For an exam. Please don’t send any links !!! Cannot open. Thank you and answer below please and thank!
Add the following and simplify if possible.
Answer:
2x+3
Step-by-step explanation:
does anyone need help on anything
Answer:
yus can you answer this for me
Step-by-step explanation:
find the value of x 3,9,10,8,7,x the mean is 7
i solved using brainly but i need to show my work what are the steps in solving please
Answer:
Step-by-step explanation:
to find the inverse first switch the x and y
y=log(x+3) inverse is x=log(y+3)
then change to exponential form to solve
[tex]log_{a} b=c[/tex] turns to[tex]a^{c}=b[/tex]
a is 10
b is y+3
c is x
[tex]10^{x} =y+3[/tex] subtract 3 from both sides
[tex]10^{x} -3=y[/tex]
Marley loves to draw and color. She bought 6 boxes of crayons. There are 8 crayons in each box. What is the total number of crayons Marley bought? What operation did you use to find your answer? Be sure to write your answer in a complete sentence.
Answer:
48 crayons
Step-by-step explanation:
There are 6 boxes total, each with 8 crayons in them. Notice that if you would count all the crayons, you would add 8 to the total number of crayons each time you counted a box. There are 6 boxes, so that would be equivalent to adding 8 a total of six times. You would use multiplication: 6 x 8 which is 48.
Answer:
marley has 48 crayons he bought
step by step equation:
6 times 8 =48
you use multiplication to answer this question
7,8+ 65 — 4
the expression has a degree of degree of ..
pls what is 15=2d-0.5?
Answer:
d=7.75
Have a good day:>
PLEASE HELP! (No links!)
What is the volume of the salt shaker??
Answer:
10
Step-by-step explanation:
Solve for x. 3(x+2)=2(2-x)
Answer: -2/5
1. Multiply out like using distributive property
3x+6 = 4-2x
2. Now just simplify
5x+6=4
5x=-2
x=-2/5
Answer:
Heyaa!!! Im Pinky! Im here to inform you that your answer is....
Step-by-step explanation:
1st. We need to Distribute:
3(+2)=2(2−)
3+6=2(2−)
Just like That!
2nd. We have to Rearrange terms:
3+6=2(2−)
3+6=2(−+2)
3rd. Distribute One Last Time:
3+6=2(−+2)
3+6= −2+4
4th. Simplify:
3=−2−2
5th. Add 2 to both sides of the equation:
3=−2−2
3+2=−2−2+2
6th. Simplify:
5=−2
7th. Divide both sides of the equation by the same term:
5=−2
5/5 = -2/5
8th. Solve:
x = -2/5
Have an Amazing day!!
~Pinky~
help me plzzzzzzzzzz⏳zzzzzzzzzz
Answer:
X=41
Step-by-step explanation:
40x40 =1600
9x9=81
1600+81=1681
[tex] \sqrt{1681} [/tex]
=41
The relay race is 5 kilometers long. If there are 12 racers
per team, how far would each racer need to run?a.5/12 b.12/5 c.1 2/5 d.5 1/12
Answer:
A
Step-by-step explanation:
Andre sets up a rain gauge to measure rainfall in his backyard. On Tuesday, it rains off and on all day, use the graph to determine how much total rain fell on Tuesday
The total amount of rainfall is an illustration of the sum operator
The total amount of rainfall that fell on Tuesday is 35 mm
How to determine the total amount of rainfall?From the graph (see attachment), we have the following function values
f(10) = 2
f(11) = 3
f(12) = 2
f(1) = 4
f(2) = 6
f(3) = 8
f(4) = 10
f(5) = 0
Add up the function values to determine thet total amount of rainfall
Total = 2 + 3 +2 + 4 + 6 + 8 + 10 + 0
Evaluate the sum
Total = 35
Hence, the total amount of rainfall that fell on Tuesday is 35 mm
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