Answer:
y = 841.25 feet
Step-by-step explanation:
Given that,
The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation as follows:
[tex]y = -16x^2 + 212x + 139[/tex] ....(1)
We need to find the maximum height reached by the rocket.
For maximum height, put dy/dx = 0
So,
[tex]\dfrac{d(-16x^2 + 212x + 139)}{dx}=0\\\\-32x+212=0\\\\x=\dfrac{212}{32}\\\\x=6.625\ s[/tex]
Pu x = 6.625 in equation (1).
[tex]y = -16(6.625)^2 + 212(6.625) + 139\\\\y=841.25\ feet[/tex]
So, the maximum height reached by the rocket is equal to 841.25 feet.
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# 84 square inches
4
4. Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the total.
surface area of his cylinder in cubic inches? 8.7B-R
F
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345.6 in?
251.3 in?
188.5 in
471.2 in?
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Use Pi symbol on ca This assignment has been submitted and is no longer editable.
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Complete Question
Luke has a cylinder with a radius of 5 inches and a height of 6 inches. What is the volume of his cylinder in cubic inches?
Answer:
471.24 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder =
πr²h
r = Radius = 5 in
h = Height = 6 in
Hence,
Volume = π × (5 in)² × 6 in
= 471.24 cubic inches
Therefore, the volume of his cylinder in cubic inches = 471.24 cubic inches
Write the expression representing the total number of miles run: Jazmin ran 3 miles on Monday. For the next 4 days, she ran x miles each day.
Answer:
4 + x
Step-by-step explanation:
Use the net to find the surface area of the rectangular prism
Answer:
52
Step-by-step explanation:
There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color
Answer:
Blue = 30
Green = 24
Red = 54
Orange = 12
Step-by-step explanation:
hahahshahhahahahahahauehfudbrog f ghg
Given f(x) = x^4 -3x^3 +10x^2 -9x +1. Is (x-2) a factor? Is x=-3 a zero? Find f(-1) show all work.
Step-by-step explanation:
(x-2) is not a factor
x = -3 is not a zero
Please mark my answer as the brainliest for further answers :)
In a survey of 232 students, about 5.5% have attended more than one play. Which is closest to the number of students in the survey who have attended more than play? 5 7 13 16
Answer:
13
Step-by-step explanation:
Number of students that attended more than play = percentage of students that attended more than play x total number of students
5.5% x 232
0.055 x 232 = 12.76 students
to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Since the first term is 7 which is greater than 5, 1 would be added to it.
This gives 13
Solve for x and show work.
Answer:
44
Step-by-step explanation:
since 88 is the whole angle and your trying to find 1 side you would divide 88 by 2 which gives u 44
Rewrite 2.7 ÷ 0.3 as a fraction.
Answer:
the answer is 9
check the picture for workings
How can you evaluate 2 to the power of 0
Answer:
How about this: There's always an implicit 1 in the expansion:
23=2⋅2⋅2⋅1=8
22=2⋅2⋅1=4
21=2⋅1=2
20=1=1
ANSWER CORRECTLY AND ILL MARK YOU AS BRAINIEST
Six containers have the following ounces in them: 6.2, 8.07, 9.4. 2.11, 5, 6.173 (Do not round your answer
Answer:
what is the question tho?
Answer:
Hi! The answer to your question is 36.953
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
Math equations giving Brainliest
Bruce drewa scale of a resturaunt the scale he used was 1 milimeter 10 meters the resteraunt kitchen is 3 milimeters long in the drawing how long is the actual kitchen
Answer: 30 meters.
Step-by-step explanation:
Since the scale used by Bruce in the drawing that she made is:
1 milimeter = 10 meters
If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:
1/3 = 10/x
Cross multiply
1 × x = 3 × 10
x = 30
Therefore, the actual length is 30 meters.
After winning a soccer game, the coach took the team out for ice cream cones. He spent $21 on 12 single-scoop ice cream cones. If all the ice cream cones cost the same amount, what was the cost of one ice cream cone?
Answer:
Unitary cost= $1.75
Step-by-step explanation:
Giving the following information:
He spent $21 on 12 single-scoop ice cream cones.
To calculate the unitary cost, we need to use the following formula:
Total cost= number of units*unitary cost
Unitary cost= total cost / number of units
Unitary cost= 21 / 12
Unitary cost= $1.75
What is the equation of this
Answer:
it's correct
Step-by-step explanation:
InO0, mCA=150andAB=CD
What is mBD?
Answer: I’m pretty sure that BD should also be 150
Step-by-step explanation:
The measure of angle O is 75 because the angle is always half of the arc, so knowing that, and also cd and abs are congruent, the other side of o is probably the same as the other, so it’d be 75, multiply by 2 and itll be 150.
33/q = 8/12 q=?
What is q
Answer:
q= 49.5
Step-by-step explanation:
[tex] \frac{33}{q} = \frac{8}{12} [/tex]
Cross multiply:
8q= 33(12)
8q= 396
Divide by 8 on both sides:
q= 396 ÷8
q= 49.5
let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5
Find the measure of CGD.
Answer:
23°
Step-by-step explanation:
For this scenario say point G is the center point,
If we look to the left, we see angle FGE has a value of 23
and in this case angle CGD is a congruent angle to FGE therefore the two angles must be the same
so therefore angle CGD should be 23 degrees
up
Write an equation for the translation of x2 + y2 = 49 by 3 units left and 4 units
O(x + 3)2 + (y + 4)2 = 49
O(x + 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y – 4)2 = 49
O(x – 3)2 + (y + 4)2 = 49
Answer: (x+3)^2+(y-4)^2=49
The answer is b :)
Step-by-step explanation:
Please Help me out I just need the answers and pls make sure they are right idrc for an explantion
1. 215.10
2. 57.60
3. 16.11
4. 8.24
5. 89.40
6. 149.10
7. 476
8. 48
9. 59.50
10. 13.49
A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?
Answer:
380 cubic inches
Step-by-step explanation:
The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height
I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)
Help me out here plz
Answer:
I think that it would be [tex]28^{2}[/tex] cm
Step-by-step explanation:
8 x 7 = 56
56/2 = 28
Calculate the surface area of the square pyramid below.
yd2
Answer:
155
Step-by-step explanation:
Anyone know how to do this?
Answer:
y = -1/2 x + 25
The relationship is linear, but it takes some doing.
Step-by-step explanation:
Remark
This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.
You have to introduce another variable which I labeled as z.
Let time = x
Let distance = y
Let the step away from the starting point = z which will be the same for x and y. So 18 and 16 the step away from the start is 3.
So as the time increases, the distance decreases. What we are going to do sort of resembles a parametric relationship.
t starts with 10
x = 10 + 4*(z - 1) and increases by 4 with each step
d starts with 20 and decreases by 2 with each step
y = 20 - (z - 1)*2
Now solve for z in each of the forgoing equations.
x = 10 + 4z - 4
x = 6 + 4z
x - 6 = 4z
(x - 6)/4 = z
y = 20 - 2z + 2
y = 22 - 2z
y - 22 = - 2z
(y - 22)/-2 = z
Since the zs must be kept the same, the left sides are equated
(x - 6)/4 = (y - 22)/-2 Cross multiply
-2(x - 6) = 4(y - 22) Remove the brackets.
-2x + 12 = 4y - 88 add 88 to both sides.
-2x + 100 = 4y Switch the sides
4y = - 2x + 100 Divide by 4
y = -1/2 x + 25
Now for sure you have to try this.
Let x = 14
y = -1/2 * 14 + 25
y = -7 + 25
y = 18
Try another one
Let x = 22
y = -1/2 * 22 + 25
y = - 11 + 25
y = 14
Those two at least check.
Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it
Percy wrote a total of 15 pages over 5 hours. After spending 6 hours writing this week, how many pages will Percy have written in total? Assume the relationship is directly proportional. pages
1. Find the probability that you will roll a six and then a five when you roll a die twice
2. A bag contains 3 red, 4 blue, and 6 yellow marbles. One Marble is selected at a time, and once a marble is selected, it is replaced, find each probability.
What fraction does point S represent?
Answer:
C
Step-by-step explanation:
So what you gotta do is count the lines. You don't count the one with one on it, but you count all the way through to 2. That gets you eight, so each line is 1/8. 1-2 in 1/8 intervals. 1 1/4 multiply 2 on the numerator and denominator gets 1 2/8, 1 1/2 multiply 4 on the numerator and denominator gets you 1 4/8. Counting the lines, each of those matches up. The first interval is 1 1/8.
Find the slope of the line that contains (−3,5) and (3,−9).
If the slope is not an integer, enter it is a fraction in simplest form. Do not enter a mixed number. Remember, a fraction in simplest form never contains a negative sign in the denominator. If the slope is undefined, “undefined” should be entered.
Hello :”) how to do 5(a)?
Answer:
[tex] f'(x) = \frac{sin( \frac{1}{x}) }{ {x}^{2} } [/tex]
Step-by-step explanation:
Please see the attached picture for the full solution.
• Differentiate cosine
• Then multiply it with the derivative of the term inside the bracket