Jivesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is
the height of the rocket in centimeters, and the rocket was fired from the ground at time t = 0, where t is
measured in seconds.
Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h =-81012+1,980t.
When is the height of the Model B rocket 1,210 centimeters? Round your answers to the nearest
hundredth.
After how t “” seconds, the rocket will have reached a height of 1,210 centimeters
Answers
Answer:
1.22 s
Step-by-step explanation:
h = -810t² + 1980t
This is the equation of a parabola.
We must solve the equation to find the maximum height (h).
The coefficient of x² is negative, so the parabola opens downward, and the vertex is a maximum.
One way to solve this problem is to convert the equation to the vertex form.
We do that by completing the square.
Calculation:
h = -810t² + 1980t
Divide both sides by -810 to make the coefficient of t² equal to 1.
(-1/810)h = t² - (22/9)t
Square half the coefficient of t
(-11/9)² = 121/81
Add and subtract it on the right-hand side
(-1/810)h = t² - (22/9)t + 121/81 - 121/81
Write the first three terms as the square of a binomial
(-1/810)h = (t - ¹¹/₉)² -121/81
Multiply both sides by -810
h = -810(t - ¹¹/₉)² + 1210
You have converted your equation to the vertex form of a parabola:
y = a(t - h)² + k = 0,
where (h, k) is the vertex.
h = ¹¹/₉ and k = 1210, so the vertex is at (¹¹/₉, 2100).
The maximum height of the rocket is 2100 cm.
After ¹¹/₉ s ≈ 1.22 s, the rocket will have reached a height of 1210 cm.
The graph below shows the rocket reaching 1210 cm at 1.22 s.
Related Questions
Write the power in words and as a product. 12^5
Answers
Answer:
12 to the 5th power and is it 248,832
Step-by-step explanation:
please answer in full sentences , and show your work.
Answers
Answer:
b) ∠4 = m∠U + m∠L
∠4 = 25° + 52°
∠4 = 77°
Step-by-step explanation:
a) Exterior Angle Theorem. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
The ratio of the number of students at the zoo in the morning to the number of students at the zoo in the afternoon was 5:3. There were 145 students at the zoo in the morning. What was the number of students at the zoo in the afternoon?
Answers
Answer:
6:8
Step-by-step explanation:
Hope this helps!!!
Two times the difference of five and three
Your answer
Answers
Answer:
4
Step-by-step explanation:
5-3=2
2x2=4
5-3 = 2
2(2) = 4
Which of these tables represents a linear function?
Answers
Answer:
The first one
Answer:
Number 1 I think
Step-by-step explanation:
Tony will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an additional $0.13 per mile driven
The second plan has an initial fee of $49 and costs an additional $0.09 per mile driven
for what amount of driving do the two plans cost the
What to the cout when the two plans cout the same?
Answers
Answer:
He need to cover 275 miles for same cost for both plans
Step-by-step explanation:
Let x be the no. of miles
Case 1 :
Initial fee = $38
Additional cost of 1 mile = 0.13
Additional cost of x miles = 0.13x
So, total cost = 38+0.13x
Case 2 :
Initial fee = $49
Additional cost of 1 mile = 0.09
Additional cost of x miles = 0.09x
So, total cost = 49+0.09x
Now we are supposed to find amount of driving do the two plans cost the same
So, 38+0.13x=49+0.09x
0.13x-0.09x=49-38
0.04x=11
[tex]x=\frac{11}{0.04}[/tex]
x=275
Hence he need to cover 275 miles for same cost for both plans
(2x+8)−(x+8)=
math 10 points
Answers
Answer:
x
Step-by-step explanation:
(2x+8)-(x+8)
Distribute
2x+8-x-8
Combine like terms
2x-x= x
8-8= 0
x
plz help me find it
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
360 - 285 = 75
It would be 75.
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
=75
The answer is 75
Julie and Ryan want to refinish the gym floor at the community center. The rectangular floor is 15.2 meters wide and 25.6 meters long. If each gallon of polyurethane covers about 180 square meters, how many gallons should they buy?
Answers
Answer:
3 gallons
Step-by-step explanation:
We need to find the area of the floor first:
25.6*15.2=389.12
Now we divide the surface area by gallons of polyurethane.
389.12÷180=2.161777777777777777777777777777....≈2.16 gallons needed. But OH WAIT! You can't buy 0.16 of a gallon so you need 3 gallons.
Calculate how much it would cost for you to borrow $100,000 at 10.5% interest
Answers
Answer:
$110,500
Step-by-step explanation:
100000 * 0.105 + 100000
initial investment * interest rate + down payment
Because 100000*.105+100000
3. If a snail moves
[tex]1 \times \frac{1}{2} [/tex]
feet in
[tex]3 \times \frac{3}{4} [/tex]
hours, what is its speed in feet per hour? Show your work and
simplify your answer.
Answers
We know that the snail lives 1 x 1/2 feet in 3 x 3/4 hours. First you have to simplify or solve the expressions. 1 x 1/2 is equal to 1/2 and 3 x 3/4 is 9/4 or 2.25 in decimal form.
You need to divide 2.25 by 1/2 or 0.5 which is 4.5.
So the snail moves 4.5 or 9/2 feet per hour.
Hope this helps !
What is the value of n?
Answers
Answer:
The correct answer of this question is A. 95
Drag and drop the correct volume of the cylinder into the box to find the volume of the figure. Use 3.14
for a.
14 in.
19 in.
The volume of the cylinder is approximately
in?
835.2
11693.4
417.6
2923.3
153.9
2.
Answers
Answer:
2923.34 in^3
Step-by-step explanation:
Volume = Pi x (r) ^2 x height
PI =3.14,
, R = 7inch (d =radius /2 >> 14/2)
H =19 inch
Volume = 3.14 x 49in^2 x 19 inch
= 2923.34 in^3
4 Happy Tam cat food can be purchased in four different packages.
Pack 1: 24 x 250 g cans for $39.99
Pack 2: 12 X 300 g cans for $24.99
Pack 3: 9 X 400 g cans for $25.99
Pack 4:6 X 1 kg can for $38.50
Which of the following shows the packs ordered from best to worst buy? Select the correct
answer A, B, C or D.
A 4213
B 3214
C 4123
D 2134
Answers
Answer:
C. 4123.
Step-by-step explanation:
We calculate the cost of a gram of cat food for each package.
Pack 1: Cost of 1 gram = total cost / number of grams
= 39.99 / (24 * 250)
= $0.00665 '
Pack 2: The cost is 24.99 / (12 * 300)
= $0.00694.
In a similar way
Pack 3: The cost is $ 0.0722
Pack 4: The cost is $0.00642 .
So the answer is
4123
So it is C.4123
In ΔUVW, the measure of ∠W=90°, UV = 3.5 feet, and VW = 3.1 feet. Find the measure of ∠V to the nearest degree.
Answers
Answer:
28
Step-by-step explanation:
its 28
Answer:
28
Step-by-step explanation:
is cos -1 (3.1 / 3.5)
Please Help Me! I am giving you all my points to whoever answers this question because I don't know how to do this questions.
Using first principle, find the slope of a tangent line to the curve f(x) = x^2 - 3x +5 at x=3
Answers
Answer:
y=3x−4
Step-by-step explanation:
find the tangent line to f(x)=x2−3x+5 at x=3
First, find the value of the function at the given point: y0=f(3)=5
Second, find the slope of the tangent line, which is the derivative of the function, evaluated at the point: m=f′(3)
Find the derivative: f′(x)=2x−3
Next, we evaluate the derivative at the given point to find the slope.
m=f′(3)=3
Finally, the equation of the tangent line is y−y0=m(x−x0)
Plug the values that we found, we get that y−(5)=3(x−(3))
So basically: y=3x−4
write an equation in standard form for the line that passes through (3,-1) and (-5,-3)
Answers
Answer:
y = 1/4x - 1.75
Step-by-step explanation:
standard form is y = mx + b
to get m you need to calculate the slope between the given points
m= (y1-y2)/(x1-x2)
m = (-1 - (-3))/(3 - (-5)) = 2/8 = 1/4
now you need to find the constant b by plugging in one of your points
y = 1/4x + b
-1 = 1/4(3) + b
b = -1 - (3/4)
b = -7/4 or -1.75
Answer:
0 = x - 4y - 7
Step-by-step explanation:
Moving from (-5, -3) to (3, -1), we see that x (the run) increases by 8 and y (the rise) incrases by 2. Thus, the slope of the line connecting these two points is m = rise / run = 2/8, or 1/4.
Use the slope-intercept form of the equation of a straight line first:
y = mx + b becomes -1 = (1/4)(3) + b, or (after multiplying all three terms
by 4) -4 = 3 + 4b. Then 4b = -7, and b = -7/4.
Then the desired equation is y = (1/4)x - 7/4, or
4y = x - 7, or
0 = x - 4y - 7. This is the desired equation in standard form.
How many significant figures will the answer to the following problem have?
You do not have to solve the problem.
811.82 - 309.4 =
Answer here
Answers
Answer:
72
Step-by-step explanation:
you do this this then this. did it help?
The figure is made up of 2 cones and a cylinder. The cones and cylinder have a 4 cm diameter.
What is the exact volume of this figure?
Answers
Answer:
62.84
Step-by-step explanation:
Volume of both cones is approximately 12.57
formula= pi*r^2*h/3
Volume of the cylinder is approximately 37.7
formula= pi*r^2*h
you add the volumes
12.57+12.57+37.7
= 62.84
second attempt. anyone know?
Answers
Answer:
it is -16
Step-by-step explanation:
A cylinder has a base diameter of 8 centimeters and a height of 7 centimeters.what is its volume in cubic centimeters,to the nearest tenths place
Answers
The volume of the cylinder is approximately 351.9 cubic centimeters.
What is a cylinder?A cylinder is a 3-D figure that has a radius and a height.
The volume of a cylinder is given as πr²h.
Example:
The volume of a cup with a height of 5 cm and a radius of 2 cm is
Volume.
= 3.14 x 2 x 2 x 5
= 62.8 cm³
We have,
The volume of a cylinder can be calculated using the formula:
V = πr²h,
where r is the radius of the base and h is the height.
Since the base diameter is given as 8 centimeters, the radius is half of that or 4 centimeters.
Substituting these values into the formula, we get:
V = π (4 cm)² (7 cm)
V ≈ 351.86 cm³
Rounding this answer to the nearest tenth gives a final answer of V ≈ 351.9 cm^3.
Therefore,
The volume of the cylinder is approximately 351.9 cubic centimeters.
Learn more about cylinder here:
https://brainly.com/question/15891031
#SPJ2
If x varies directly as y, and x = 200 when y = 11, find y when x = 500. Please algebraic solution :) thanks!
Answers
Answer:
x⠀⠀⠀⠀⠀|⠀⠀⠀⠀200⠀⠀⠀⠀|⠀⠀⠀⠀500
y⠀⠀⠀⠀⠀|⠀⠀ ⠀⠀ 11⠀⠀⠀⠀⠀|⠀⠀⠀⠀a
As x directly varies with y:
200 × a = 500 × 11
a = 5/2 × 11 = 27.5
Plez halp with question bc im smol brain
Answers
Answer:
B. y= 2x–15
Step-by-step explanation:
The equation that represents the line that passes through the points (8, 1) and (10,5) is y= 2x–15
"x" is found on the left hand side of the bracket and "y" is found on the right hand side of the bracket :)
(8, 1) and (10, 5)
x in the first bracket is 8 and x in the second bracket is 10.
y in the first bracket is 1 and y in the second bracket is 5.
When this equation is applied to find the value for y we get:
y= 2x-15
y= 2(8)-15
y= 16-15
y= 1
y= 2x-15
y= 2(10)-15
y= 20-15
y= 5
We got back the values of y and this means that the equation was correctly chosen and the answer is correct :)
express (x-3)(x+5) as a trinomial
Answers
[tex]x^{2}[/tex]+2x-15
:):)
x^2 + 5x - 3x - 15
x^2 + 2x - 15
Which expression is equivalent to 3 times 5 times 5 times 5 times 5 times 5 times 5? 15 Superscript 6 15 Superscript 7 3 (5) Superscript 6 3 (5) Superscript 7
Answers
Answer:
3 (5) Superscript 6Step-by-step explanation:
Given the expression [tex]3*5*5*5*5*5*5[/tex]
In order to get the equivalent expression, first we must note the repetition of the value 5. Since the value of 5 is repeated 6 times during the multiplication, it can be written in indicinal form as shown;
[tex]3*5^{6}[/tex]
[tex]5^{6}[/tex] in the equation means that 5 is being repeated 6 times.
The required answer is 3[tex](5)^{6}[/tex]
Answer: its C
Step-by-step explanation:
I WILL GIVE BRAINLIEST!!!!!
PLEASE HELP
A.y = 4 x + 12
B.y = negative 4 x
C.y = negative 12
D.y = negative 4 (x + 3)
Answers
Answer:
Option B
Step-by-step explanation:
When all options are graphed along withe the equation in the question,
[tex]y=-4x[/tex] does not intercept with [tex]y=-4x-12[/tex].
This means that y=-4x and y=-4x-12 will have no solution.
Option B should be the correct answer.
2
You put $939 into an investment at 8% for six years. What will the balance be at the end of
six years?
Answers
You put $939 into an investment at 8% for six years. What will the balance be at the end of
six years?
Answer:
$1490.074.
Megan has 45.12 in her purse. She spend 7.89 for lunch and 21.25 for a pair of sunglasses
Answers
Answer:
If you want to know hw much she has here: 74.26
Step-by-step explanation:
Sara went to the store and bought 4 apples, 5 peaches and 10 bananas. What is the ratio of peaches to all fruit?
4:5
5:10
1:2
19:5
5:19
5:4
Answers
Answer:
i might be wrong but i think its 5:19
Step-by-step explanation:
Answer:
5:19
Step-by-step explanation:
You would just add 5 and 4 and 10 to get 19 and since there are 5 peaches it would be 5:19.
PLEASE HELP IM TRYING TO PASS MY FINIALS!
Answers
Answer:
There is no real solution
Step-by-step explanation:
If you are finding the square root of a number, it cannot be negative. No number can be multiplied by itself to get a negative number. Negative numbers multiplied with themselves make a positive number. Positive numbers are obviously going to stay positive. Therefore there is no square root of -9