The height of the toy is an illustration of the height function
The function of the toy velocityThe given parameters are:
Initial velocity, Vo = 200 ft per secInitial height, H = 50 ftThe function of the height is calculated as:
h(t) = -16t² + Vot + H
This gives
h(t) = -16t² + 200t + 50
Hence, the velocity function is h(t) = -16t² + 200t + 50
The time of maximum heightIn (a), we have:
h(t) = -16t² + 200t + 50
Differentiate
h'(t) = -32t + 200
Set to 0
-32t + 200 = 0
Subtract 200 from both sides
-32t = -200
Divide both sides by -32
t = 6.25
Substitute 6.25 for t in h(t)
h(6.25) = -16 *6.25² + 200 * 6.25 + 50
h(6.25) = 675
Hence, the time to reach the maximum height is 6.25 seconds and the maximum height is 675 feet
When the rocket will be at a height more than 300This is represented as
h(t) >300
So, we have:
-16t² + 200t + 50 > 300
Subtract 300 from both sides
-16t² + 200t - 250 > 0
Using a graphical calculator, we have:
t = 11.09s and t = 1.41 s
Hence, the rocket will be at a height more than 300 at 11.09s and 1.41 s
When it will hit the ground?This means that
h(t) = 0
So, we have:
-16t² + 200t + 50 = 0
Using a graphical calculator, we have:
t = 12.75
Hence, the rocket will hit the ground at 12.75s
Read more about height function at:
https://brainly.com/question/12446886
Solve the system of equations using substitution.
y = 2x + 3
y = 3x + 1
a. (-2,-1)
b. (-2,-5)
c. (2,7)
d. (-1,-2)
Answer:
C. (2,7)
Step-by-step explanation:
2x+3 = 3x+1
x=2
y= 2×2+3
y=7
2. 28 - 3t = 10
Work out the value of t.
Answer:
t = 6
Step-by-step explanation:
28 - 3t = 10
-3t = 10 - 28
-3t = -18
t = -18/-3
t = 6
Note: (-)/(-) = +
Answer:
t=6
Step-by-step explanation:
—3t=—18
t=6
Three students measured the heights of the daffodils they are growing.
2/3
Sofia's daffodil is 4/6
of a foot high
Mateo's daffodil is
of a foot high.
3/8
Deshawn's daffodil is
of a foot high
Which statement correctly compares two of these fractions?
L
Find the measure picture attached
Answer:
30
Step-by-step explanation:
90 - 60 = 30
three different purposes for determining the derivative.
Answer:
A derivative is a slope function. If you want to find the slope anywhere along the function, you can.
Explanation:
Given: What is the purpose of a derivative?
A derivative is a slope function: m=f'(x=value). If you want to find the slope anywhere along the function, you can.
If you want to find a tangent line at a specific point along the function you can, using the slope and the point: y−y1=m(x−x1)
Answer:
See below
Step-by-step explanation:
A derivative is a slope function, so it allows you to find the slope anywhere along a function where it's continuous.
For example, the derivative of velocity is acceleration, which is applicable in real life.
You can also find a tangent line at a specific point by finding the slope of the function at that point and then using point-slope form [tex]y-y_1=m(x-x_1)[/tex] to get your tangent line.
A copy machine makes 44 copies per minute. How many copies does it make in minutes 5 and 15 seconds?
Answer:
231
Step-by-step explanation:
5 minutes + 15 seconds = 5.25 minutes
44 × 5.25 minutes = 231 copies
SOMEONE HELP ME PLEASE!! 100 POINTS FOR ANSWER!!
I took a screenshot of my problem.
Answer:
B it originally cost 12000
Step-by-step explanation:
the depriciation factor is 0.75^t and the original value was 12000
Answer:
(2) The motorcycle cost $12,000 when purchased.
Step-by-step explanation:
[tex]V(t)=12000(0.75)^t[/tex]
[tex]V(0)=12000(0.75)^0=12000[/tex]
[tex]V(1)=12000(0.75)^1=9000[/tex]
[tex]V(2)=12000(0.75)^2=6750[/tex]
etc.
⇒ Initial cost = $12,000
⇒ The motorcycle's value is decreasing by 25% each year.
susan has a piggy bank with 32 coins in it, all dimes and quarters. She has been collecting state quarters and so far has no repeats. If the piggy bank has $6.20, how many more quarters does Susan need before she has a quarter from each of the 50 states?
Answer:
26
Step-by-step explanation:
First, you need to find how many quarters there are. You can easily try to see the max amount of quarters you can fit. So, 24 quarters.
There are two dimes.
Susan needs 26 more quarters
What is the area of this trapezoid?
Enter your answer in the box.
__ ft²
Answer:
468 ft²
Step-by-step explanation:
Area = (37+15)/2 × 18
37 + 15 is 52
Divide 52 by 2 which is 26
26 × 18 is 468
We know,
[tex] \text{Area of trapezoid =} \frac{a + b}{2} h[/tex]
Here, a and b are base and h is height
Inserting The Values[tex] = \frac{37 + 15}{2} \times 18 \\ \\ = \frac{52}{2} \times 18 \\ \\ = \cancel\frac {52}{2} \times 18 \\ \\ = 26 \times 18 \\ = 468 \: \text{ft²}[/tex]
Hope This HelpsAnswer this and i mark u branliest
Step-by-step explanation:
5a.
10 white squares
15 shaded squares
5b.
a1 = 1 = 2×1 - 1
a2 = a1 + 2×2 - 1 = 2×1 - 1 + 2×2 - 1 = 2×(1+2) - 2
a3 = a2 + 2×3 - 1 = 2×(1+2+3) - 3
...
an = 2×(1+2+...+n) - n = 2×n×(n+1)/2 - n = n²
so,
a350 = 350² = 122,500
figure350 has 122,500 squares.
5c.
a1 = 1
a2 = a1 = 1
a3 = a2 + 5
a4 = a3 = 6
a5 = a4 + 9
a6 = a5 = 15
a7 = a6 + 13
a8 = a7 = 28
...
a(2n) = a(2n - 1)
a(2n - 1) = a(2(n-1) - 1) + 1 + 4(n - 1) = n×1 + 4(0+1+2+...+n-1) =
= n + 4×(n-1)×n/2 = n + 2×(n² - n) = 2n² - n
therefore,
a350 = a349
a349 = a(2×175 - 1) = 2×175² - 175 = 61,075
figure350 has 61,075 shaded squares.
Using the illustrations below, determine the relationship between the volumes of
the two given solid figures. Put a check ( / ) on the blank if the sentence states
the correct relationship
Answer:
I don't see the illustrations
what is probability scale to the sea will disapper
Pls pls help with this!
What equation represents the linear relationship in this graph?
A :y = 10x
B: y = 6x
C:y = 1/3x
D: y = 3x
Answer:
D: y = 3x
Step-by-step explanation:
The relationship shown is a proportion. The only "unknown" is the constant of proportionality, the slope of the line. That is most easily found by looking for the value of y that corresponds to the value x=1.
__
This graph shows that 1 song costs $3, so the equation is ...
y = 3x
HURRY!!!!
What is the volume, in cubic inches, of the right rectangular prism with a length of 5 inches, a width of 8 inches, and a height of 20 inches?
A printer can print 32 pages in 80 sec.
The rate in lowest terms is______?
Answer:
0.4 pages per second
24 pages per minute
1 page can be printed every 2.5 seconds
Each answer is technically correct, use the one that's most appropiate
Step-by-step explanation:
32 pages in 80 seconds
32 / 80 = 0.4 pages per second
0.4 / 1
If they want it in minutes, multiply both sides by 60 seconds
0.4 * 60 / 1 * 60
24 pages per minute
What is the median of the data set?
-10, -5, -1, 0, 0, 3, 6, 8
0
O 0.125
3
-1
Answer:
0
Step-by-step explanation:
The median of this data set is 0. To find the median, you must arrange the data points from least to greatest (which is already done in this data set), then you must locate the central number, if there is no specific central number, you find the number inbetween these two central numbers, in this case 0 and 0, which is 0.
what is the answer to this equation help please 25x10x^{6}[/tex]
Answer:
I don't know answer It By Your Self
Mr. Jones is building the garage shown below. What is the volume of the garage?
Answer: 891 ft³
Step-by-step explanation:
We can break the garage into two different parts. The roof, triangular, and the rest, rectangular. I will start by solving for the rectangular part.
V = L * W * H
V = 12 ft * 9 ft * 7.5 ft
V = 810 ft³
Now, I will solve for the triangular part, the roof. First, 9 ft - 7.5 ft = 1.5 ft, so the height of just the roof is 1.5 ft.
V = [tex]\frac{L * W * H}{2}[/tex]
V = [tex]\frac{12 * 9* 1.5}{2}[/tex]
V = [tex]\frac{162}{2}[/tex]
V = 81 ft³
Lastly, I will add the two different parts together.
810 ft³ + 81 ft³ = 891 ft³
a student needs to fill a tank with 9 liters of waters how many 1/3 liters of water will it take to fill the tank
It will take 27 containers of 1/3 liter to fill the tank.
Since you need 3 containers of 1/3 to have a full liter, and 9 liters for the tank, 9*3=27.
Answer:
27
Step-by-step explanation:
1= 1/3x3
3x9=27
Help picture below problem 8
Answer:
C. never
Step-by-step explanation:
A trapezoid has exactly one pair of opposite sides parallel.
A parallelogram has exactly two pairs of opposite sides parallel.
A trapezoid is never a parallelogram.
What is the volume of a cube with an edge length of 7.3 cm?
Enter your answer in the box
Answer:
389.017 cm³
Step-by-step explanation:
Given:
Side length of cube = 7.3 cmThe volume of a cube is the cube of the side length.
V = (side length)³Substitute the side length of the cube to determine the volume of the cube.
⇒ V = (s)³
⇒ V = (7.3)³
⇒ V = (7.3)(7.3)(7.3) = 389.017 cm³
Answer: 389.017
Step-by-step explanation: I just took the test.
all of these are service industries except zoo bakery law firm or travel agency
Answer:
A zoo
Step-by-step explanation:
A zoo can't be consisdered a "service industry" compared to the other ones.
So
A.) Zoo
is your answer
Write and solve an inequality.
The sides of a regular hexagon are equal in length. The perimeter of the hexagon is at most 48 inches.
Find the possible side lengths of the hexagon. Let the lengths of the sides bex.
Answer:
ok
Step-by-step explanation:
the average of 15 pupils in a room is 11. if a man of 27 years enter the room. what will be the new average age?
Answer:
12
Step-by-step explanation:
→ Find the total age of the children
15 × 11 = 165
→ Add the mans age
165 + 27 = 192
→ Divide by 16
192 ÷ 16 = 12
Name the theorem or postulate that justifies the congruence.
JAJSAS
[B] ASA
[C] AAS
[DJ HL
Find the median of the following data: 19, \ 21, \ 18, \ 17, \ 18, \ 22, \ 4619, 21, 18, 17, 18, 22, 46
Check the picture below.
Hello, pls help. Ty!
[tex] [/tex]
Answer:
See below ↓↓↓
Step-by-step explanation:
Question #1
line DE is the segment bisector as it bisects the line segment ACQuestion #2
A bisector divides a line in halfSo, AB = 1/2ACAB = 1/2 x 20 = 10 cmQuestion #3
Similarly, it divides the line in half in this case as wellBC = 1/2AC or AC = 2BCAC = 2 x 7 = 14 cmThe value of (2i3)3 is
IS
Answer:
Assuming you mean (2^3)3, the answer is 24
Step-by-step explanation:
using pemdas you do 2 to the third power first
2x2=4 4x2=8
then you mutiply by the number not in parenthesis; 3
8x3 = 24
Explain why 0.323232 is greater than 0.32
Answer:
0.323232 is the greater number
Step-by-step explanation:
This is because if you write the numbers the same way, there is a difference between the first 0 and the 3.
Look here: 0.323232 0.320000
You can see that there is a 3 after the first 2, therefore that shall deem the greater number.
What is the difference between a copyright and a trademark, and how are they used to protect intellectual property?
Answer: Copyright protects original work, whereas a trademark protects items that distinguish or identify a particular business from another.
The trademark laws protect the product or service name and any slogans used in the advertising, while the copyright laws protect the additional creative written expression contained in the ad. Hope this helps!
Step-by-step explanation: