Answer:
i) 524.25feet
ii) 11secs
Step-by-step explanation:
1) Given the height of the rocket modelled by the equation
h = -16t² + 180t + 18 where
t is in seconds
At the maximum height, the velocity of the object is zero.
v(t) = dh/dt = 0
dt/dt = -32t + 180
0 = -32t + 180
32t = 180
t = 180/32
t = 5.625secs
Get the maximum height
h = -16t² + 180t + 18
h = -16(5.625)² + 180(5.625) + 18
h = -16(31.640625)+ 180(5.625) + 18
h = -506.25+1,012.5+18
h = 524.25feet
Hence the maximum height a launched item could reach is 524.25feet
ii) The item will hit the water at h = 0
Substitute inti the expression
h = -16t² + 180t + 18
0 = -16t² + 180t + 18
16t² - 180t - 18 = 0
Divide through by 2
8t² - 90t - 9 = 0
t = 90±√90²-4(8)(-9)/2(8)
t = 90±√8100+288/16
t = 90±√8,388/16
t = 90±91.586/16
t = 90+91.586/16
t = 181.586/16
t = 11.35sec
Hence the item hit the water after 11secs (to nearest whole number)
Antoine buys 8 caramel apples for 20.00. Each caramel apple costs the same amount. What is the cost, in dollars, per caramel apple?
Answer:
2.5 per Caramel apple , just divide it , I hope that's correct and I'm sorry if it's not.
Answer:
2 dollars
Step-by-step explanation:
Solve for t -7/4 =2/5t
Answer:
t = 35/12
Step-by-step explanation:
t - 7/4 = 2/5 t
t = 2/5 t + 7/4
t - 2/5 t = 7/4
t*(1-2/5) = 7/4
t*3/5 = 7/4
t = (7/4)/(3/5)
t = 7*5/4*3
t = 35/12
4x + y = 7
- x - y = 2
If (x, y) is the solution to the given system of equations, what
is the value of x?
a) -8
b) 26
c) -5
d) 3
I’m giving brainliest to who answers correct!
Answer:
y = 1/2x + 2
Step-by-step explanation:
for x=10, y=7
for x=20, y=12
for x=30, y=17
y = 1/2x + 2
Solve for x. For your answer, you
Answer:
62
Step-by-step explanation:
x+37+81=180, x=62
find the distance between each pair of points. Round your answer to the nearest 10th if necessary
Answer:
5.4
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-2 - (-7)]² + (7 - 5)²
√(5)² + (2)²
√25 + 4
√29
= 5.4
10ft/2in simplified so the units are the same
Please help me it would mean the world. A lot of points!
The answer is 80cm^2 provided by my teacher I just need the work.
h(v)=5v2–28v+11, use synthetic division to find h(4).
Answer:
h(4)=-21
Step-by-step explanation:
h(v)=5x^2-28v+11
h(4)=5(4)^2-28(4)+11
h(4)=5(16)-112+11
h(4)=80-101
h(4)=-21
If this helps please mark as brainliest
In the year 2000, the population of a city was 600,000 citizens. The population increases at a rate of 1.8% per year.
a. Create and graph a function to model the population, y , (in thousands), x years after 2000.
b. In complete sentences, interpret the relationship between the rate of change of the function and its graph.
c. Predict the population of the city in the year 2012.
In your final answer, be sure to include your model, graph, interpretation, and prediction of the function.
Answer:
a) 600,000 (1.018)ᵗ, the graph is below:
* "t" is the years. 2000 is the first year, so "t" would be 1. 2012 is the 12th year so "t" would be 12.
b) As the years go by, the population increases. The years (X), and population (Y) both increase together. The graph shows that when the years increase the population increases.
c) In 2012, which would be 12 years later, I predict the population would be around 743,232 people.
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZ
a farmer has 20,000 soybeans seeds he has already planted 6,000 seeds he is planting 2,000 seeds on each acre of land how many acres can the framer plant with the remaining seeds
Answer: Acres he can plant with the remaining seeds
Step-by-step explanation: hope this helps sry if wrong pls don’t be mad but if right you welcome
The sum of two numbers is 41. The larger number is 21 more than the smaller number. What are the numbers?
Please help!
Answer:
srry its 31 and 10
Step-by-step explanation:
the numbers are 20 and 21
Hope I helped! :)
What is the value of x in the equation 3x − 2 = x + 8?
Answer:
x=5
Step-by-step explanation:
We need to find the value of x the given equation: 3x-2=x+8
the goal when solving for equations is to isolate the variable onto one side, and have the number (value of what x is) on the other side
here's the equation:
3x-2=x+8
first, add 2 to both sides
3x-2=x+8
+2 +2
___________
3x=x+10 (2 goes away on the left side, as -2+2=0)
now, subtract x from both sides
3x=x+10
-x -x
______
2x=10 (x goes away on the right side, as x-x=0)
we have the variable isolated on one side, with the number on the other, but we need the value of x by itself (1x)
divide both sides by 2
x=5 (because 2x/2=1x, or x. 10/2=5).
therefore, the value of x is 5
Hope this helps!
Which expression equals 9 3sqrt10
Answer:
2nd choice
Step-by-step explanation:
Look at the radical, if two radicals can add, they must have the same root. The answer must also have the same root.
Answer:
B on edge
Step-by-step explanation:
Definition: This is a polygon with three sides.
Example: Obtuse, right, acute, scalene, isosceles, equilateral, and equiangular are classifications of this
I bought 10 shirts. Some were R4 and some were R4,50. If the total cost was R43,50. How many of each type did I buy?
Answer:
Step-by-step explanation:
Solution:
Given dimensions of the rectangular sheet
Length = 28 cm
Breadth =22 cm
If the sheet is rolled to form a cylinder then the length becomes height and breadth becomes circumference of the base of a cylinder.
So Height of the cylinder (h)= 28 cm
Circumference of the base of a cylinder
What are some numerical expressions for 9 times x?
Answer:
9x
9 • x
9(x)
9*x
I think that's what the question means?
please help and show work
Answer:
?
Step-by-step explanation:
I need help with 13 ABCD
Answer:
a. n (table) : 1 2 3 4 5 6
s (students):4 6 8 10 12 14
b. Arithmetric, since it is adding and corresponding with the numbers
d. 32
not sure about c though. hope this helped.
Given: sintheta=5/13
Find sin: 2theta
Answer:
sin 2θ=120/169
Step-by-step explanation:
Fill the empty slots by dragging tiles from the left to show
the next step for solving the equation
Solve the two-step equation
- 3x - 21 = 27
NG
No
Show result
Please help
Answer:
x =-16
Step-by-step explanation:
Given the equation
-3x - 21 = 27
We are to find the next step in solving the equation
Step 1: Add 21 to both sides
-3x - 21 + 21 = 27 + 21
-3x = 48
Step 2: Divide both sides by -3
-3x/3 = 48/3
-x = 16
x = -16
Hence the value of x is -16
HELP ME PLEASE!. 20 points!
Answer:
Part 1: She will make $1,944.00 In 4 days.
Part 2: 0.38
Which holds more, a cylinder with a height of 10.0 cm and a diameter of 7.0 cm or a cylinder with a height of 7.0 cm and a diameter of 10.0 cm? Explain your answer using calculations. *
Answer:
The cylinder with a height of 7.0 cm and a diameter of 10.0 cm
Step-by-step explanation:
v = πr²h
---------------------
cylinder with a height of 10.0 cm and a diameter of 7.0 cm
v = π(3.5²)10
v = 384.65 cm³
cylinder with a height of 7.0 cm and a diameter of 10.0 cm
v = π(5²)7
v = 549.5 cm²
549.5 > 384.65
The second cylinder holds more
Please help me find the missing side and show your work
Answer:
9 yards
Step-by-step explanation:
The Pythagorean theorem: [tex]a^2+b^2=c^2[/tex]
Where a and b are legs, and c is the hypotenuse.
The hypotenuse is the side opposite from the right angle in the right triangle.
The hypotenuse would be AC, measured 15 yards, because it is opposite from the right angle. BC, the unmeasured side would be a leg. I can call that the "b" leg and AB, the 12 yard side the "a" leg.
Substitute the measures into the theorem to get: [tex]12^2+?^2=15^2[/tex]
[tex]144+?^2=225 ; ?^2=81; ?=\sqrt{81} =9[/tex]
What is the end behavior of the function f(x)=8x^5-3x^3 +8x+5
Answer:
x → +∞, y → +∞
x → -∞, y → -∞
Step-by-step explanation:
The trick to identify its behavior is to determine the degree of the function and the coefficient of the term with the highest exponent.
Negative coefficient and odd degree (x → +∞, y → -∞) (x → -∞, y → +∞).Negative coefficient and even degree (x → +∞, y → -∞) (x → -∞, y → -∞).Positive coefficient and odd degree (x → +∞, y → +∞) (x → -∞, y → -∞).Positive coefficient and even degree (x → +∞, y → +∞) (x → -∞, y → +∞).The graph of y = f(x) is shown below. Find the value of f(9).
Answer:
f(9) = 4
Step-by-step explanation:
Locate x = 9 on the x- axis, go vertically up to meet the line at (9, 4 ) , then
The value of f(9) = 4
how many triangles are there
*image insert here*
I really need help! is my answer correct ?
12, 15, 18, ...
Find the 32nd term.
what is the area of the truck?
Answer:
yes because the truck is smaller than the parking space. the area is 66.25 sq. ft
Step-by-step explanation: