A missile is fired such that its height above the ground is given by h=-9.8t^2+38.2t+6.5, where t represents the number of seconds since the rocket was fired. Using the quadratic formula, determine, to the nearest tenth of a second, when the rocket will hit the ground.
Please I need help with this question
Answers
Answer:
4.1 sec
Step-by-step explanation:
-9.8t^2 +38.2t + 6.5 = 0
t = [tex]\frac{-38.2 +-\sqrt{38.2^2{ - 4(-9.8)(6.5)} } }{2(9.8}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1459.24 + 254.8} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- \sqrt{1714.04} }{-19.6}[/tex]
= [tex]\frac{-38.2 +- 41.4}{-19.6}[/tex]
= [tex]\frac{-79.6}{-19.6}[/tex]
= 4.1
The rocket will hit the ground at 0.2 seconds
FunctionThe function is given as:
[tex]h=-9.8t^2+38.2t+6.5[/tex]
When the missile hits the ground, the value of height is 0
This means that:
[tex]h = 0[/tex]
So, we have:
[tex]-9.8t^2+38.2t+6.5 = 0[/tex]
GraphNext, we plot the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
See attachment for the graph of [tex]-9.8t^2+38.2t+6.5 = 0[/tex]
From the attached graph, we have:
[tex]t = (0.163, -4.061)[/tex]
Approximate
[tex]t = (0.2, -4.1)[/tex]
Time cannot be negative.
So, we have:
[tex]t = 0.2[/tex]
Hence, the rocket will hit the ground at 0.2 seconds
Read more about height functions at:
https://brainly.com/question/10837575
Related Questions
Which of the following is equivalent to 3^4?
1. 12
2. 81
3. 7
4. 64
Answers
Answer:
81, Option 2.
Step-by-step explanation:
[tex]3^{4}[/tex] means 3 x 3 x 3 x 3, that is 3 multiplied 4 times with itself.
Here's how to do it:-
3 x 3 = 9
9 x 3 = 27
27 x 3 = 81
So, [tex]3^{4}[/tex] would be 81, Option 2.
Find a:c and a:b:c of the following
b) a:b = 4:5,b:C = 3:5
Answers
Answer:
look at the picture i sent
What is 0.75 = 0.4 + 100
Answers
Answer:
0.75≠100.4
Step-by-step explanation:
Please help ASAP!! It’s due tomorrow please!!
Answers
Answer:
250 lifeguards
(P.S, i dunno if i got it right or not should be correct tho)
Step-by-step explanation:
15 km divide 0.06 for every life guard. therefore, there are 250 lifeguards
There will be 9 lifeguards
.6 x 15 = 9
0.06 x 15 = 0.9
0.9 as a whole number = 9
Therefore There will be 9 lifeguards
What is the area 15mm 10mm
Answers
Answer:
15mm x 10mm = 150mm
Step-by-step explanation:
Aimee lives 8/9 mile of the park. She has walked 3/5 of the way to the park. How far Aimee walked? is it multiplying or adding
Answers
Answer:
Yesterday,Annie walked 9/10 mile to her friend's house.Together,they walked 1/3 mile to the library.Which is the best estimate for how far Annie walked yesterday? a)about 1/2 mile b)about 1 mile c)about 1 1/2 miles d)about 2 miles ===== 0.9 + 0.333 = 1.233 miles
Step-by-step explanation:
find simple interest
Rs.6500 for 2years 3months at
6percent per annum
Answers
find simple interest
Rs.6500 for 2years 3months at
6percent per annum
Solution :To find the simple interest , We'd use the following formula:-
P×R×T/100P= 6500R=62.25 (2 years+ 3 month).°.
S.I = 65×13.5
S.I = Rs.877.50
Hope it helps
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Help me please ! Please
Answers
Answer:
maybe 36
Step-by-step explanation:
3 shirts 4 pants 3 shoes it maybe 3*4*3
1. Jim's vegetable garden looks like this
quadrilateral.
T
2. Which kind of triangle has
no congruent sides?
A equilateral
B horizontal
c isosceles
D scalene
What type of quadrilateral is it?
A trapezoid
B square
c rhombus
D rectangle
Answers
CAN SOMEONE DO THIS FOR ME I WOULD REALLY APPRECIATE IT
Answers
Answer:
ugh
Step-by-step explanation:
PLEASE HELP 35 POINTS
Find the value of x in the triangle shown below.
Answers
Answer:
B sqrt(17)
Step-by-step explanation:
Using pythagoras theorem
Find the surface area of the triangular prisms below.
Answers
10.) 730 m^2
11.) 57.1 mm^2
The scale shown is not balanced.
Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.
HELP PLEASEEEEE
Answers
Answer:
1 (100block)
5 (10block)
3 (1block)
Step-by-step explanation:
221-68=153
1x100=100
5x10=50
3x1=3
The amount that x = 53 needs to be to balance the scale.
What is an equation?The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.
We have an equation,
221 = x + 68
x = 221 - 68
x = 153
In 153,
1 is in place of hundred 100, 5 is in the place of 10 so, 50.
Therefore, x = 53 is the amount that needs to be to balance the scale.
To learn more about the equation;
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#SPJ2
i think im gonna buy human flesh off the darkweb today
Answers
Answer:
i- alrighty then
Step-by-step explanation:
find the missing side length of the right triangle below. Round your answer to the nearest tenth.
Answers
Answer:
24.4
Step-by-step explanation:
14² + 20² = c²
196 + 400 = 596
√596 = 24.4
Simplify.
16 3/8 - 6 7/8
Answers
So this is for my academy class bc we have been learning about kindness and things like that so I am going to give everyone who is reading this a quote to help you get through your r day or night
“You’re off to great places, today is your day. Your mountain is waiting, so get on
your way.”
Answers
Answer: it did mine god blesses you
Step-by-step explanation:
Answer:
Step-by-step explanation:
it did brighten my day
i need help with this problem
Answers
Answer:
evaluate parenthesis first:
67/100(consider 67% out of 100) x 119 = 79.73
Answer:
79.73
Step-by-step explanation:
First, it would be finding 67% of 119
Then we find 10% = 11.9 and 1% = 1.19
The 11.9 multiplied by 6 to equal 71.4 and 1.19 multiplied by 7 to equal 8.33
Then add 71.4 and 8.33 to get the answer of 79.73.
Which of the following is a geometric series?
a 6 + 13 + 20 + 27
b 7 + 21 + 35 + 45
c 14 + 24 + 28 + 35
d 2 + 14 + 98 + 686
Answers
Answer:
Answer is D
Step-by-step explanation:
Got 100%
Answer:
D: 2+14+98+686
Step-by-step explanation:
Correct on edge quiz.
If you conducted a survey on the distribution of M & M colors in 20 packages chosen at random, what type of graph would be best for displaying your results and why?
Answers
Answer:
A bar graph is the best graph to use
Shape B is 2 times the size of Shape A. Which is the perimeter of Shape B? (1 point)
Answers
Answer:
16
Step-by-step explanation:
multiple 1 and 4 by 2 and you will get 2 and 8. Then multiply 2 and 8 and you get 16
Q23. Look at the image
Answers
Answer:
B. First term = 5, Common difference = -3
Step-by-step explanation:
The first term is f(1) = 8 - 3(1) = 8 - 3 = 5.
The common difference is the coefficient of n. Another way to see this is to compute the second term, f(2) = 8 - 3(2) = 8 - 6 = 2. The second term is 3 less than the first. The common difference is -3.
The sequence goes 5, 2, -1, -4, ...
An object moves in simple harmonic motion with amplitude 15m and period 4 minutes. At time t=0 minutes, its displacement from rest is , and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t
Answers
Step by step explanation
The solution to the system is (3,4):
3x – 2y = 1
4y = 7+3x
Pizz help mee
Answers
Answer:
(3,4) is the solution of both equations.
Step-by-step explanation:
The given equations are :
3x – 2y = 1 ....(1)
4y = 7+3x
4y-3x = 7 .....(2)
Put x = 3 and y = 4 in equation (1).
3(3) – 2(4) = 9-8
= 1
So, (3,4) is the solution of the equation (1).
Again put x = 3 and y = 4 in equation (2).
4(4)-3(3) = 16-9
= 7
Hence, (3,4) is the solution of both equations.
1. 6 times a number is 30, what is the number?
2. 5 less than twice a number is 19, what is the number
Answers
5 for the first one and 7 for the second hope this helps
NEED HELP PLEASE ASAP! please don’t waste my time i need this grade.
Answers
1 standard deviation is 13
To find out the range of scores that fit 1 standard deviation from the mean, you would have to take away and add 13 from the mean (133) this gives a range of 120-146 which isn’t right because you’re looking for 107-159.
Next, look for 2 standard deviations from the mean which is just 13 x 2=26.
To find the range of scores that are 2 standard deviations from the mean take away and add 26 to the mean (133) which gives a range of 107-159. This is the correct answer.
2 standard deviations represents 95% of the data. That’s why I think the answer is 95%.
The circus admits children for $2 each and adults for $5 each. How many of each ticket were sold if 160 total tickets were sold for $476?
Answers
So you first make an equation where
c represents numbers of children tickets and ‘a’ represents adult tickets
a+c= 160
2a+ 5c=476
Multiply first equation by -2 to cancel out the a after addition
-2a-2c =-320
When you add the above equation with 2a +5c=476 you get 3c=156 which means that c=52 so the number of children tickets sold = 52
Now you substitute this answer to any of the equations and work out the value of a
a+52=160
a= 108
what is 35 x 345? Solve and I will give you money
Answers
Answer:
12075
Step-by-step explanation:
35 x 345 = 12075
Answer:
12075
Step-by-step explanation:
You randomly choose one of the tiles and flip the coin. Find the probability of the compound event. The probability of choosing a blue tile and tails
Answers
Answer:
2/7
Step-by-step explanation:
The probability of getting tails is 1/2 or 50%;
There are 7 tiles, 4 of them are blue; getting a blue tile has a 4/7 probability.
Multiply the fractions:
1/2*4/7= 4/14 or 2/7
John is putting a fence around his garden that is shaped like a half circle and a rectangle.How much fencing will John need? Use for .32 ft39 ft46 ft57 ft
Answers
Answer:
The perimeter of the garden = 46 ft
Step-by-step explanation:
The exact question is as follows :
Given - John is putting a fence around his garden that is shaped like a half circle and a rectangle.
A rectangle has a length of 14 feet and width of 7 feet. A semicircle with diameter of 7 feet is on top of the rectangle.
To find - How much fencing will John need? Use 22 over 7 for Pi.
A. 32 ft
B. 39 ft
C. 46 ft
D. 57 ft
Solution -
The figure is as follows :
The perimeter of the garden is equal to sum three sides of the rectangle plus the circumference of a semicircle
Now,
Given that,
Length of Rectangle = 14 feet
Breadth of Rectangle = 7 feet
Now,
Sum of three sides of Rectangle = 14 + 14 + 7
= 35
Now,
Circumference of Semicircle = (1/2)[tex]\pi[/tex] D where D is the diameter
So,
Circumference of Semicircle = (1/2)(22/7)(7)
= 11
⇒Circumference of Semicircle = 11
So,
The perimeter of the garden = 35 + 11
= 46 ft
⇒The perimeter of the garden = 46 ft