Answer:
to differential calculus, because I don't know how to answer this question without
using it.
We're told that Jason's height above the water is H(t) = -16t² + 16t + 480 .
We can observe many things from this equation:
-- Up is the positive direction; down is the negative direction.
-- The acceleration of gravity is 32 ft/sec² .
-- Jason jumps upward from the cliff, at 16 ft/sec .
-- The cliff is 480-ft above the water.
(This tells us why the question is only concerned with his maximum height,
and then it ends ... 480-ft is one serious cliff, and what happens after the
peak of his arc is too gruesome to contemplate.)
In any case, his vertical velocity is the first derivative, with respect to time,
of his height above the water.
V = -32 t + 16
At the peak of his arc, where gravity takes over, his velocity changes from
upward to downward, and it's momentarily zero.
0 = -32t + 16
Add 32t to each side: 32t = 16
Divide each side by 32: t = 1/2 second
His height at that instant is H(0.5) = -16(0.5)² + 16(0.5) + 480 =
4-ft above the cliff, 484-ft above the water,
and then he begins falling from that altitude.
The duration of his dive is 484 = 16 t²
t = √(484/16) = 5.5 seconds
and he hits the water at V = a t = (32) x (5.5) = 176 ft/sec = exactly 120 mph
Step-by-step explanation:
1/3+ blank =3/4 plsssss help
Answer:
= 5 /1 2
Step-by-step explanation:
How many ways can you write one whole as a fraction
Answer:
infinite
Step-by-step explanation:
you could say 1/1 or 4/4 or 146798245/146798245
any number over itself is a whole
Does that answer it? I feel like I'm missing something
Answer:
Any
Step-by-step explanation:
You can write one whole by making the numerator and denominator the same number. Examples: 2/2 3/3 4/4 5/5 6/6 7/7 8/8 9/9 10/10 100/100 20/20
what is -9 = -6r simplified
Answer:
Exact Form:
r = 3/2
Decimal Form:
r = 1.5
Mixed Number Form:
r =1 1/2
Step-by-step explanation:
find the slope of the line of best fit shown below.
I need help on this question
Answer:
1. equal
2. add to 180
3. equal
4. add to 180
Step-by-step explanation:
as 1 and 3 are linear pairs
2 and 4 are vertically opposite angles
A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was the total budget for their student film?
C=5x+4y
What points maximize and minimizes
Answer: There is no points
Step-by-step explanation:
Can someone answer this
Which ordered pair describes the location of the point shown on the
coordinate system below?
10.
10
10
A. (3,-5)
B. (-5,3)
C. (3,5)
D. (-5, -3)
Your answer is A!
Step-by-step explanation:
Your answer is A!
The coordinate point from the given graph is (3, -5). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given coordinate plane, the coordinate point lies in fourth quadrant.
Where, x-coordinate is positive and y-coordinate is is negative.
The coordinate point correspond to x-axis is 3 and coordinate point correspond to y-axis is 5.
So, the coordinate point is (3, -5)
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
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A corporate team-building event cost $7, plus an additional $2 per attendee. How many attendees can there be, at most, if the budget for the corporate team-building event is $17?
Pls answer fast thank you
Answer:
5
Step-by-step explanation:
17-7=10
2x5=10
Find the volume of the cone.
Either enter an exact answer in terms of # or use 3.14 for and round your final answer to the nearest hundredth.
Answer:
v ≈ 78.54
Step-by-step explanation:
v = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
so v ≈ 78.54
calculate 3(8-6)
[tex]3(8 - 6)[/tex]
Answer:
6
Step-by-step explanation:
3(8−6)
=(3)(2)
=6
Answer:
3(8-6)=6
Step-by-step explanation:
8-6
=2
=3*2
=6
Find the value of x and y
Answer:
X is 90 y is 43
Step-by-step explanation:
What is the BEST first step in converting the standard equation below to slope intercept form?
x + 2y = 4
What is the range for the third size of the triangle 13,24?
Answer:
third side range
5
<
C
<
11
Step-by-step explanation:
10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4
b. 4 fewer than the product of 2 and a number k
c. The product of 2 and the quantity 4 and a number k
d. 4 less than 2 times a number k
A rectangle is a parallelogram. What is true of the diagonals of a rectangle
that is not true of the diagonals of a parallelogram, in general?
Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths
Step-by-step explanation:
What is true of a rectangle that is not true of a parallelogram is that; the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.
We are dealing with rectangles and parallelogram here.
Now, both rectangle and parallelogram have 4 sides respectively with 2 of the sides being equal.
Now, for a rectangle, the diagonals are always equal because all the internal angles are equal.
However, for a parallelogram, all the internal angles are not equal and as such the diagonals are also not equal.
In conclusion, what is true of a rectangle that is not true of a parallelogram is that the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.
Read more about diagonals of Quadrilaterals at; https://brainly.com/question/25806235
MATH HELP WILL MARK BRANLIEST
In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
6/21 or 2/7
Step-by-step explanation:
on delta math
An arts academy requires there to be 5 teachers for every 125 students and 4 tutors for every 88 students. How many students does the academy have per teacher? per tutor? How many tutors does the academy need if it has 81 students? Pleaseee help
Answer:
25 students peer teacher, 22 students per tutor, 4 tutors for 81 students
Step-by-step explanation:
You need to find the unit rate,
for the teachers, to find the unit rate would be 125 divided by 5. For tutors it would be 88 divided by 4.
Then to find how many tutors you need for 81 students you would need 4 tutors because you want to divide 81 by the unit rate we got (22), and since the answer would be a decimal (3.68.....) you would need to round the whole number up to four because you cant have a decimal of a person.
A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density
Answer:
The density of the prism is 0.453 kilograms per cubic meter.
Step-by-step explanation:
Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:
[tex]\rho = \frac{m}{V}[/tex] (1)
Where:
[tex]m[/tex] - Mass, in kilograms.
[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.
Besides, the volume of the right angle triangle prism is:
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)
Where:
[tex]b[/tex] - Breadth of the base, in meters.
[tex]h[/tex] - Height of the base, in meters.
[tex]l[/tex] - Length of the base, in meters.
If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:
[tex]V = 7.5\,m^{3}[/tex]
[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]
The density of the prism is 0.453 kilograms per cubic meter.
The number 70 is decreased to 41. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
Decreased percent = 41.4 % (Approx.)
Step-by-step explanation:
Given:
Old number = 70
New number = 41
Find:
Decreased percent
Computation:
Decreased number = 70 - 41
Decreased number = 29
Decreased percent = [29 / 70]100
Decreased percent = 41.42%
Decreased percent = 41.4 % (Approx.)
Suppose a coordinate plane contains line l, line m, line p, and line q. If all that is known is that line l is parallel to line m, and line p is parallel to line q, which of these statements must be true after all of the lines are reflected across the y–axis. Select two that apply.
Line l is parallel to line m.
Line l is parallel to line p.
Line m is parallel to line q.
Line l is parallel to line q.
Line m is parallel to line p.
Line p is parallel to line q.
Answer:
A and E
Step-by-step explanation:
After all of the lines are reflected across the y-axis, the true statements are Line l parallels Line m, and Line m parallels Line p.
What is meant by Parallel lines?Parallel lines are two lines in the same plane that are equal distance apart and never intersect. Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet. Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.To learn more about Parallel lines, refer to:
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Angela invests $2,550 at 3% interest compounded annually. What will be the balance in the account after 1.5 years?
Answer:
$ 2,665.61
Step-by-step explanation:
I plugged it into a compound interest calculator
Rectangular Prism lateral and total surface area
Answer:
give me sec waitttttttt give me sec is their any answer choice
which function is equivalent to
f(x) = -4 (x+7)^2 - 6
Answer:
A
Step-by-step explanation:
-4(x^2+14x+49)-6
-4x^2-56x-196-6
-4x^2-56x-202
Answer:
F(x)=-4x^2 - 56x - 202
Step-by-step explanation:
Two families planned to go to the zoo. The entry ticket for one adult was $7.31 and the entry ticket for one
child was $5.66. There were two adults in the group. The families intend to spend no more than
$46.00. What is the greatest number of child tickets that can be purchased?
Answer:
5 children
Step-by-step explanation:
$7.31 x2 = $14.62
$46- 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
and $33 is bigger than $31
So the greatest number of children tickets can be purchased is only 5.
Answer:
5 children
Step-by-step explanation:
Solve
$7.31 x2 = $14.62
$46 - 14.62 =$32
5.66 divided by 5 = 28.3
5.66 divided by 6 = 33
$33 is bigger than $31
Therefore, the greatest number of children tickets can be purchased is only 5.
Dan took out a 24-year loan for $111,000 at an APR 0f 7.7%, compounded monthly, while Forrest took out a 24-year loan for $96,000 at an APR of 7.7%, compounded monthly. Who would save more by paying off his loan 13 years early?
Answer: Dan Would save more Since he has $15,000 more in principal.
Answer: he would save15,000
Step-by-step explanation:
Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2
Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
I need help, please please please
Answer:
A.
Step-by-step explanation:
There is a picture of a graph
S
What is the solution to this system of equations?
3x + y = 2
2 + 3y
-
--18
re
O (2,-6)
ware
O (3,-7)
(-6, 2)
aphing
O (-7,3)
Answer:
-7,3
Step-by-step explanation:
look at the pictire