At a model rocket competition, Mrs. Jennings launches a rocket is launched upward
from the ground with an initial velocity of 138 feet per second.
The formula for vertical motion is
h(t) = 0.5at? + vt +s, where the gravitational constant, a, is -32 feet per second squared, v
is the initial velocity, and s is the initial height. Time t is measured in seconds, velocity
v is measured in feet per second, and heights h and s are measured in feet.
Write the function that describes the height, h in feet, of the rocket l seconds into
launch
Answers
Answer:
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t
Step-by-step explanation:
The given parameters are;
The initial velocity of the rocket, v = 138 feet per second
The vertical motion formula = h(t) = 0.5·a·t² + v·t + s
The gravitational constant, a = -32 ft./s²
s = The initial height of the rocket
Therefore, he have;
The height of the rocket, t seconds seconds into launch is given as follows;
Height = h = h(t) - s = 0.5·a·t² + v·t
Substituting the known values gives;
h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t
h = -16·t² + 138·t
The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.
Related Questions
Travis was attempting to make muffins to take to a neighbor that had just moved in down the street. The recipe that he was using required 3/4 cup of sugar and 1/8 cup of butter.
1. Travis accidentally put a whole cup of butter in the mix.
A. What is the ratio of sugar to butter in the original recipe? What amount of sugar does Travis need to put into the mix to have the same ratio of sugar to butter that the original recipe calls for?
B. If Travis wants to keep the ratios the same as they are in the original recipe, how will the amounts of all the other ingredients for this new mixture compare to the amounts for a single batch of muffins?
C. The original recipe called for 3/8 cup of blueberries. What is the ratio of blueberries to butter in the recipe? How many cups of blueberries are needed in the new enlarged mixture?
Answers
Answer:
A. (3/4) : (1/8)
Travis must add 6 cups of sugar to maintain the ratio.
B. Travis must multiply the ratio of all other ingredients by 8.
C. (3/8) : (1/8)
Travis must add 3 cups of blueberries to maintain the ratio.
Step-by-step explanation:
A.
3/4 * 8
24/4
6 cups of sugar to maintain the same ratio.
B. 1/8 turned into 1 so that means it was multiplied by 8
C. 3/8 are blueberries and 1/8 is butter
(3/8) * 8
3
This took a long time to do... reward?
Can someone help me find the measure of each angle in the triangle?
Answers
Answer:Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?
Step-by-step explanation:
Answer-
the sum of the degree measures of angles in any triangle equals 180 degrees. ... So, the measure of angle A + angle B + angle C = 180 degrees. ... If a triangle is equilateral, what is the degree measure of each of its angles?
A student builds a model of her bathroom. The scale is 1:25. In the scale model, the students bed is 3 inches long.
HOW LONG IS THE STUDENTS ACTUAL BED?
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
75
Step-by-step explanation:
The answer is 75 because you have to cross mutiply:
1 3
25 x
3 x 25 is 75
Write the equation of a line in slope intercept form that has a slope of -3 and passes through the point (0,7)
Answers
Store M sells 5 DVDs for $49. Store S sells 8 DVDs for $59.50. Which store offers the best deal
on DVDs?
Answers
hi
5 for 49 means : 49/5 = 9+4/5 = 9.80 each
8 for 59.50 means 59.50/8 ≈ 7.44
second offer is the best deal
What is the measure of angle x?
A) 65
B) 25
C) 115
D) 125
Answers
Answer: 65°
Step-by-step explanation: We are assuming that these lines are ║.
If two parallel lines are cut by a transversal,
then alternate interior angles are congruent.
Since x and 65 lie on alternate side of the transversal and
on the interior of the two lines, we know that x = 65.
Yaneev thinks of a number y. He subtracts three from the number, then doubles it. What is the final result, in terms of y?
Answers
Answer:
y = 6
Step-by-step explanation:
2(y - 3) = y
2y - 6 = y
y = 6
Hope that works out :)
PLEASEE HELP I WILL BRAINLISTT Question 2: Given the function defined by y = x^2, which of the following is its average rate of change from x = 2 to x = 10? *
A.5/2
B.2
C.8/3
D.12
Answers
12 is its average rate of change from x = 2 to x = 10.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Given the function defined by y = x^2
now,
its average rate of change from x = 2 to x = 10,=
=10^2-2^2/10-2
=100-4/8
96/8
=12
Hence, 12 is its average rate of change from x = 2 to x = 10.
To learn more on division click:
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Find the slope of the line passing through the points (6, 1) and (6,-6).
Answers
Answer:
Slope = undefined
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
(6, 1)
(6, -6)
1 - (-6)/6 - 6= 7/0
Slope = undefined
For reference:
0/x = 0
x/0 = undefined
Hope this helps!
how much time will it take for the plane to land?
Answers
Answer:
Again assuming we're cleared for immediate take off, it takes around 20 minutes to climb to cruise altitude, at an average ground speed of (say) 200 knots. This means we've covered about 70 miles, which the cruising aircraft would have covered in just over 10 minutes. So this final phase has cost us another 10 minutes
Circle A has a diameter of approximately 20 inches and an area of approximately an area of 300 in² Circle B has a diameter of approximately 60 inches Which of these could be the area of circle B? A. About 100 in^2 B. About 300 in^2 C. About 900 in^2 D. About 2700 in^2
Answers
Answer:
D. About 2700 in^2
Step-by-step explanation:
The area of a circle A = πd²/4 where d = diameter of circle.
A/d² = π/4 = k the proportionality constant.
So, A₁/d₁² = A₂/d₂² Now for circle A, Area = A₁ = 300 in² and diameter = d₁ = 20 inches. For circle B, Area = A₂ = unknown and diameter = d₂ = 60 inches.
So, we have
A₁/d₁² = A₂/d₂²
A₂ = A₁d₂²/d₁²
A₂ = A₁(d₂/d₁)²
substituting the values of the variables, we have
A₂ = 300 in²(60 in/20 in)²
A₂ = 300 in²(3)²
A₂ = 300 in²(9)
A₂ = 2700 in²
So, the area of circle B is about 2700 in²
8.78 + 6.2 show you work
Answers
Answer:
14.98
Step-by-step explanation:
1
8.78
6.20
---------
14.98
Answer:
14.98
Step-by-step explanation:
8.78
+6.2
--------
14.98
you want to imagine 6.2 like 6.20
so...
8.78
+6.20
----------
14.98
the 8 goes down 7+2=9 the (.) goes down 8+6=14 14.98
hope this helps :)
please help this is due tomorrow!! (SQUARE ROOTS)
Ill give brainliest!! find the value
√b^6
3√-x^6
3√-y^9
Answers
Example: √12 is simpler as 2√3
Get your calculator and check if you want: they are both the same value!
Here is the rule: when a and b are not negative
√(ab) = √a × √b
And here is how to use it:
Example: simplify √12
12 is 4 times 3:
√12 = √(4 × 3)
Use the rule:
√(4 × 3) = √4 × √3
And the square root of 4 is 2:
√4 × √3 = 2√3
So √12 is simpler as 2√3
Another example:
Example: simplify √8
√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)
And another:
Example: simplify √18
√18 = √(9 × 2) = √9 × √2 = 3√2
It often helps to factor the numbers (into prime numbers is best):
Example: simplify √6 × √15
First we can combine the two numbers:
√6 × √15 = √(6 × 15)
Then we factor them:
√(6 × 15) = √(2 × 3 × 3 × 5)
Then we see two 3s, and decide to "pull them out":
√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10
Fractions
There is a similar rule for fractions:
root a / root b = root (a / b)
Example: simplify √30 / √10
First we can combine the two numbers:
√30 / √10 = √(30 / 10)
Then simplify:
√(30 / 10) = √3
Some Harder Examples
Example: simplify √20 × √5√2
See if you can follow the steps:
√20 × √5√2
√(2 × 2 × 5) × √5√2
√2 × √2 × √5 × √5√2
√2 × √5 × √5
√2 × 5
5√2
Example: simplify 2√12 + 9√3
First simplify 2√12:
2√12 = 2 × 2√3 = 4√3
Now both terms have √3, we can add them:
4√3 + 9√3 = (4+9)√3 = 13√3.
Quiz 1
Rewrite the fraction as a decimal.
13
10
Report a pro
Answers
Answer:
1.3
Step-by-step explanation:
Just divide the top by the bottom.
Answer:
1.3
Step-by-step explanation:
If we divide 13 by 10, our answer is 1.3. This makes sense since the proper fraction would be 1 & 3/10 (one and three-tenths.) Three-tenths is equal to 30% or 0.3.
F(x) = x^2 - 5x+8, g(x) = x^2-4
Find g(x)-f(x)
Answer Choices:
-5x-4
5x+12
5x-12
-5x-12
Answers
Answer:
-5x -12
Step-by-step explanation:
BRAINLIEST PLEASE
Find the center and radius of the circle with the equation:
Answers
Answer:
where is the equation? And I will help.
Step-by-step explanation:
Answer:
i cant answer if there is no problome
Step-by-step explanation:
If x varies directly as y. Find x when y = 1 if x= 12 when y= 4
Answers
Step-by-step explanation:
x/y=constant
12/4=3
x/1=3
x=3
Here, if x varies directly as y. When y=1, then x=3.
Given that, x varies directly as y.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
If x= 12 when y= 4
Here, x varies directly as y is x∝y
⇒ x=ky
⇒ 12=k(4)
⇒ k=3
So, x=3y
When y=1, we have
x=3(1)
⇒ x=3
Here, if x varies directly as y. When y=1, then x=3.
To learn more about the proportions visit:
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Adam, Bethany and Charles played a game.
Adam scored 8 more points than Charles.
Bethany scored 5 more points than Adam.
They scored a total of 72 points.
Find the number of points that Adam, Bethany and Charles each scored.
Answers
Points scored by Adam, Bethany and Charles are 25, 17 and 30 respectively.
What is algebra?Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.
Given that,
Adam scored 8 more points than Charles,
And Bethany scored 5 more points than Adam.
Also, total score is 72.
Let points scored by Adam is x,
Then point scored by Charles = x-8,
And point scored by Bethany = x+5.
Since, total score = 72
x + x-8 + x+5 = 72
3x - 3 = 72
3x = 75
x = 25
Points scored by Adam is x = 25,
Point scored by Charles = x-8 = 17,
And point scored by Bethany = x+5 = 30.
To know more about Algebra on:
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Which of the following is equivalent to 4x-3y=15
A.4/3x-5
B.-4/3x+5
C.4/3x+15
D.3/4x-5
Answers
Answer:
the answer is A
Step-by-step explanation:
A = 4/3x-5
Answer:
Step-by-step explanation:
B
work out the inverse function
y=x-2
Answers
Answer:
x + 2
Step-by-step explanation:
Replace the x with y.
Making is x = y -2
Solve for x=y-2
and you get x+2
Answer:
x+2
Step-by-step explanation:
When doing inverse functions, you switch the x and y.
x = y-2
Then you solve for y (add the 2 to the other side to get "y" by itself)
y = x+2
At the candy shop, Ameenah sells chocolate covered raisins, c, for $1.50 per pound, and peanuts, p, for $1.20 per pound. Ameenah wants to make 20 pounds of a mixture of raisins and peanuts that sells for $1.35 a pound. How many pounds of each should she use?
Thanks! :)
Answers
Answer:
10 pounds of raisins and 10 pounds of peanuts.
Step-by-step explanation:
Let c represent the pounds of chocolate covered raisins.
Let p represent the pounds of peanuts.
We know that the raisins cost $1.50 per pound and the peanuts cost $1.20 per pound.
Ameenah wants to make 20 pounds of a mixture of the raisins and peanuts that sells for 1.35 a pound. So, we can write the following expression:
[tex]1.5c+1.2p[/tex]
This represents the cost given c pounds of raisins and p pounds of peanuts.
Ameenah wants to combine c and p to make them 1.35 per pound. In other words, the expression must equal:
[tex]1.5c+1.2p=1.35(c+p)[/tex]
We also know that she wants to make 20 pounds. So, c plus p must total 20. Therefore:
[tex]c+p=20[/tex]
We now have the system of equations:
[tex]\left\{ \begin{array}{ll} 1.5c+1.2p=1.35(c+p) \\ c+p=20\end{array}[/tex]
First, since we know that c+p is 20, we can substitute that into the first equation.
Second, let's subtract p from both side for the second equation to isolate a variable. So:
[tex]c=20-p[/tex]
Let's now substitute this into the first equation:
[tex]1.5(20-p)+1.2p=1.35(20)[/tex]
Distribute:
[tex]30-1.5p+1.2p=27[/tex]
Combine like terms:
[tex]-0.3p+30=27[/tex]
Subtract 30 from both sides:
[tex]-0.3p=-3[/tex]
Divide both sides by -0.3. So, the amount of peanuts needed is:
[tex]p=10[/tex]
10 pounds of peanuts is needed.
This means that 20-10 or 10 pounds of raisins is needed.
Answer:
10 pounds of both raisins and peanuts.
Step-by-step explanation:
¿Cuál es el volumen de un prisma octagonal cuyo lado de la base es de 2 cm
, apotema de 2.41 cm
y altura de 17 cm
?
Answers
Answer:
yes
Step-by-step explanation:
yes yes yes yes yes teehee
hi can someone help me with this
Answers
3y-9y+6+5.7
6y+11.7
You can’t do anything further bc y doesn’t equal anything
Answer:
=−12y+11.7 I believe it's that but I am not completely sure
I believe it is
Can someone please help me? I can't find the h(x) for 0. I also need help with the last question. Please I need it very soon.
Answers
9514 1404 393
Answer:
see attachments for a table and graph
Step-by-step explanation:
I find it convenient to use a graphing calculator or spreadsheet to do repetitive computations reliably.
__
Your specific question asks for h(0):
h(0) = -|0 +2| +1 = -2 +1
h(0) = -1
You may want to check your other table values.
will give BRAINLIEST
Find the area of each circle
. Round to the nearest tenth.
Answers
Answer:
13: 312yd squared
14: 907.5 rounded up but not rounded is 907.46
Step-by-step explanation:
this is because the formula is pi*r^2 so you'd
Step by step:
1. 20yd/2= 10 to get the radius for 13
2. substitute r in the formula pi*r^2 for 10 making it pi*10^2
3. multiply 10 by itself, 10*10=100
4. multiply pi by 100, 3.14*100= 314
314yd^2 is the answer for 13
14:
1. 34ft/2=17 to get the radius for 14
2. substitute r on the formula pi*r^2 for 17 making it pi*17^2
3. multiply 17 by itself, 17*17=289
4. multiply pi by 289, 3.14*289=907.46
5. round 907.46 to the nearest tenth, 907.5
907.5ft^2 is your answer
hope this helps :)
Time (seconds)
2
3
4
5
6
Height (cm)
14
21
28
35
42
Answers
Answer:
What do you need done?
Step-by-step explanation:
Although you can draw an infinite number of lines through the midpoint of a
segment, you can draw only one line that is to the line segment.
Answers
Answer: Perpendicular
Step-by-step explanation: Took the quiz :)
Anyone understand how to do this??
Answers
Answer:
T=-11
Step-by-step explanation:
y2-y1/x2-x1
=t-(-1)/9-10
=t+1/9-10
=t+1/-1
=-11+1/1
=-10/1
=-10
Hope this helps :)
What is the distance between the points (2, 3) and (5, -4)?
Answers
Answer:
7.6158
Step-by-step explanation:
please help! asap! thanks! xoxoxo
Answers
Answer:
B
Step-by-step explanation:
Don't know how to type those here so see attachment
Answer:
x = √29
Step-by-step explanation:
a^2 + b^2 = c^2
5^2 + 2^2 = c^2
25 + 4 = c^2
29 = c^2
√29 = √c^2
√29 = c
x = √29