1.
A trebuchet launches a pumpkin on a parabolic arc from a height of 47 ft at a velocity of 40 ft/s which gives the
following function equation h(t)= -16t^2 + 40t + 47. State the vocabulary term that is being described by the
following questions. Do not solve for any of the key features. questions a b c and d
a. When will the pumpkin reach the ground?
The pumpkin will reach the ground at
b. What is the maximum height the pumpkin reaches?
C. When does the pumpkin reach its maximum height?
d. What is the starting height of the pumpkin?
Answers
Answer:
a) 3.37 seconds
b) 75.85 feet
c) 1.25 seconds
d) 47 feet
Step-by-step explanation:
a) I could use kinematic equations here, but I'll use the one provided. Height as a function of time equals 0 when the pumpkin reaches the ground, so 0=(-16t^2)+40t+47 is your equation here. Solve for t. t=3.37
b) If you have a graphing calculator, just use maximum feature. If not, use the formula x=-b/2a. x=-40/-32, x=1.25.
Now, plug 1.25 in as t, and you'll get y=75.85ft
c) alreaady found in previous part
d) this is the constant in the formula, or the y-intercept, which is 47 (because there's no variable attached).
Related Questions
the product of two consecutive integers is 5 more than three times the larger integer. Find the larger integer. please help!
Answers
Answer:
x = 5 or -1
Step-by-step explanation:
let larger integer be: x
the smaller integer is: x-1
(x)(x-1)=5+3(x)
x^2-x-5-3x=0
x^2-4x-5=0
x = 5 or -1
jamar has a 8 foot long piece of wood that he wants to cut to build a tree house if each is going to be 5/6 foot long, what is the greatest number of pieces he will be able to use
Answers
Answer:
The greatest amount of pieces he would be able to use would be 9 because 8 divided by 5/6= 9 and 3/5.the 3/5 piece is too short.
Step-by-step explanation:
Somebody help ASAP hurry
Answers
Answer:
540 divided by 9
Over estimated
Please mark as brainliest!
Overestimated
Thanks!
These numbers are common multiples of ________.
6, 12, 18, 36
A) 2 and 4
B) 2 and 3
C) 3 and 4
D) 4 and 6
Answers
From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
What are common multiples?
Common multiples are multiples that two or more numbers have in common. In other words, common multiples are numbers that are multiples of two or more given numbers.
To find the common multiples of 6, 12, 18, and 36, we can start by finding the prime factorization of each number:
6 = 2 x 3
12 = [tex]2^2[/tex] x 3
18 = 2 x [tex]3^2[/tex]
36 = [tex]2^2[/tex] x [tex]3^2[/tex]
To find the common multiples, we need to list the multiples of the largest number, which is 36, and check which ones are also multiples of the other numbers:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, ...
Therefore, From this list, we can see that all the numbers are multiples of 2 and 3. So, the correct answer is option B) 2 and 3.
To learn more about Common multiples from given link.
https://brainly.com/question/30060162
#SPJ1
What is an equation of the line that passes through the point (-1,-3)(−1,−3) and is parallel to the line 6x-y=16x−y=1?
Answers
Answer:
x = -1
Step-by-step explanation:
[tex]6x - y = 16x - y - 1\\-10x = -1\\x = 1/10[/tex]
Since this is the equation of a vertical line, that means that the new one will also just be in the form x = ?.
Since the x - value is -1, the equation is x = -1
i need help .........
Answers
Answer:
Step-by-step explanation:
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
HELP ASAP!!! Make t the subject of 5(t − g) = 2t + 7
Answers
Answer:
t=(7+5g)/3
Step-by-step explanation:
5(t-g)=2t+7
5t-5g=2t+7
5t-2t=7+5g
3t=7+5g
divide both side by 3
t=(7+5g)/3
As per linear equation, the variable 't' is subject of 5(t -g) = 2t + 7 as [tex]t = \frac{5g + 7}{3}[/tex].
What is a linear equation?"A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
There are linear equations in one variable and linear equations in more than one variable. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."
The given linear equation is:
5(t - g) = 2t + 7
We can calculate the value of the variable 't' by keeping it in the left hand side of the equation and then rest of the elements on the right hand side of the equation. Now we get:
⇒ 5t - 5g = 2t + 7
⇒ 5t - 2t = 5g + 7
⇒ 3t = 5g + 7
⇒ [tex]t = \frac{5g + 7}{3}[/tex]
Therefore, the value of the variable 't' in terms of the variable 'g' is [tex]t = \frac{5g + 7}{3}[/tex].
To learn more about a linear equation here: https://brainly.com/question/11897796
#SPJ2
38
4(x + 7) = 38
x +7
x+7
x +7
x +7
Answers
Answer:
x = 2.5
Step-by-step explanation:
4(x + 7) = 38
4x+28 = 38
4x = 10
x = 2.5
The science club has five female and five male students. The club will randomly select two people to compete in the upcoming science competition.
What is the probability that both people chosen are females?
StartFraction 1 Over 90 EndFraction
One-fifth
Two-ninths
One-fourth
Answers
Answer:
Step-by-step explanation:
(5/10)(4/9)=20/90=2/9
Two-ninths
Answer:
2/9
Step-by-step explanation:
I just answered it on edg.
May someone please help me with this :)
Answers
= 13
The area = 3.7 * 2.8 = 10.36
2. Perimeter = 11.2
Area = half base times height
2.6 * 1.5 = 3.9 squared
I am useless plz help
Answers
Answer: your answer is 195
Step-by-step explanation:
Miss Penny inherits £1040
she decides to save some of the money and spend the rest
the ratio of savings to spending money is 5:8
how much does she save and how much does she spend
Answers
She spends £640
plz help find x !!!!!
Answers
Answer:
a. 38.5
Step-by-step explanation:
The triangles are similar. That means that the ratios are the same.
x/14 = 11/4
x/31.5 = 11/9
Let's use the top one
x/14 = 11/4
4x/14 = 11
4x = 154
x = 38.5
There are 42 students in a class.
Each student walks to school or cycles to school or gets the bus to school.
There are 23 girls in the class.
10 of the girls walk to school.
6 of the boys cycle to school.
7 of the 11 students who get the bus to school are boys.
Find the number of these students who walk to school.
Your final line must say, Number who walk to school = ...
Answers
Answer:
15 students walk to school
Step-by-step explanation:
42 - total students
42 - 23 = 19
----
23 girl students
19 male students
----
19 - 6 = 13
13 - 2 = 11
--
11 - 7 = 3
3 + 2 = 5
--
10 girls walk to school
5 boys walk to school
--
10 + 5 = 15
PLEEEASE HELP ME, QUICK!!!! ITS WORTH 20 POINTS!!!
tell me if the statement below is sometimes, always, or never true. justify your reasoning, (the Expressions x - 3 + y -3 represent the same value.)
Answers
Answer:
Sometimes true. It may be true at times if x or y equal each other, but if they do not equal each other it is not true
Step-by-step explanation:
We are given two expressions: x -3 and y - 3
Here x and y are two different variables.
These expressions are equal, when the value of x and the value of y are equal.
x - 3 = y -3 if x = y.
Therefore, the two expressions have the same value in sometimes.
That is, when x = y, then the value of two expressions are the same.
Example.
If x = 2 and y = 2, then
x - 3 = y - 3
2 - 3 = 2 - 3
-1 = -1
If they have different values, for x = 2 and y = 3
x - 3 = y - 3
2 - 3 = 3 -3
-1 = 0
Which is not true.
Therefore, the answer is sometimes.
The following are the winning times, in seconds, for the Kentucky Derby from 1997 to 2016. Select the boxplot that
represents the data.
122.4, 124.2, 123.2, 121, 119.97, 121.1, 121.19, 124.06, 122.75, 121.36, 122.17, 121.82, 122.66, 124.04, 122.04,
121.83, 122.89, 123.66, 123.02, 121.31
HIH
H+
118
122
126
Time (sec)
HT
118 122 126
Time (sec)
118
122 126
Time (sec)
Answers
Answer:
The answer is A
Step-by-step explanation:
Just did the problem.
Answer:
The answer A is correct.
The first plot.
The perimeter of a regular hexagon is 24x + 48. Which expression below can represent the
length of one side?
А 3x + 6
B 6x + 12
c 4x + 8
D 8x + 16
Answers
Answer:
I believe it would be D, sorry if I didn't get it right!
Step-by-step explanation:
Determine whether the equation has one solution, no solution, or infinite solutions.
Explain your reasoning.
9x + 2 = -4(x + 6)
Answers
SOMEBODY PLEASE HELP ME.Eric and Scott each through a javelin. The height of the javelin that Eric through can be modeled by the function f(x)=-16x^2+64x6 where f(x) represents the height in feet of the javelin after X seconds. The graph represents the height of Scots javelin as a function of time. Which statements are true?THE ANSWER CHOICES ARE IN THE PICTURE PLEASE ANSWER THIS QUESTION RIGHT
Answers
Answer: The maximum height of Scott’s and Eric’s javelins were the same
Step-by-step explanation: bc I put it as my answer and I got it right
Which expression is equivalent to 5 - 3(x + 2)?
Answers
Answer:
2x+4
Step-by-step explanation:
5-3(x+2)
2(x+2)
2x+4
pls help ill give brainliest to the PERSON WHO GETS IT RIGHT
Answers
Answer:
C) [tex]s\geq 5[/tex]
Step-by-step explanation:
The phrase "at least", represents the greater than or equal to sign. Only Option C shows this sign, so it's correct.
Hope it helps!
Which is the slowest reading rate? *
2 points
4 pages in 10 minutes
5 pages in 13 minutes
3 pages in 9 minutes
7 pages in 20 minutes
Answers
explanation: 2.5min/page
Use the line plot below to determine the number of times less than 14 pieces of trash were collected at recess. A. 0 B. 5 C. 6 D. 9
Answers
Answer:
b
Step-by-step explanation:
because i helped your welcome
What are the factors of a(3+ y)
Answers
Answer:
2 factors.
Step-by-step explanation:
A factor is something which is multiplied by something else. (It can be a variable, number or term).
In this example, there are 2 factors: a & (3+y).
Hope this helps! Have a great day!
a(3+y)
Rearrange terms:
(3+)(+3)
Distribute:
a(y+3)
ay+3a
Solution:
ay+3a
Plsss asap help with circles geo!!!!
Answers
4. You would subtract 100 from 180 and multiply the 80 by 2 to get 160
5. You would divide 38.5 by 2 and get 9.25. Take that and subtract by 180 and get 160.75 (I’m iffy on this one)
6. 90 degrees since the diameter is perpendicular to the line
When Deion was born, his grandfather gave him a 7.5-gram gold coin as a present. Today, Deion read in the newspaper that a gram of gold is worth $50.04. How much money is the gold coin worth?
20 POINTSSSSSSSSSSSSSS
FAST HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
1 garm = $50.04
7.5 gram = 50.04 × 7.5 = $375.3
16m - (5 + 9m) which one is it
Answers
Answer:
B
Step-by-step explanation:
Answer:
B. 16m - 5 - 9m
Step-by-step explanation:
The "-" outside of the parentheses also can be interpreted as -1.
So multiply -1 with 5 and 9m within the parentheses.
That gets you 16m - 5 - 9m.
help with both please
Answers
Answer:
Step-by-step explanation:
Answer:b)true a)true
Step-by-step explanation:
What type of function is this:
a1 = 2
an = an-1+4
Arithmetic and Explicit
Arithmetic and Recursive
Geometric and Explicit
Geometric and Recursive
Answers
Answer:
Gravity, also called gravitation, in mechanics, the universal force of attraction acting between all matter. ... On Earth all bodies have a weight, or downward force of gravity, proportional to their mass, which Earth's mass exerts on them. Gravity is measured by the acceleration that it gives to freely falling objects.
[tex] \\ [/tex]
* You may use a calculator on this question.
A circle has a radius of 23.85 inches.
What is the circumference of this circle?
Use 3.14 for pi. Round your final answer to the nearest tenth.
74.9 inches
1786.1 inches
149.8 inches
Please help
Answers
The circumference formula is 168.6
where r is the radius given to us as 26.85, and pi is to be 3.14. In our formula then, we have
.
Doing that multiplication and rounding to the nearest tenth leaves us with a circumference of 168.6 inches.
Because the formula is C=2x3.14x23.85 ( circumference = 2 times pi times radius )