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
x
For f(x)=0.01(2) , find the average rate of change from x=3 to x=8.
Answers
Option b. 0.496
Step-by-step explanation:we know that
f(x)=0.01(2^{x})
The average rate of change is equal to
\frac{f(b)-f(a)}{b-a}
where
a=3
b=8
f(a)=f(3)=0.01(2^{3})=0.08
f(b)=f(8)=0.01(2^{8})=2.56
Substitute
\frac{2.56-0.08}{8-3}
\frac{2.48}{5}
0.496
A square fits exactly inside a circle with each of its vertices being on the circumference of the circle
Answers
A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so
pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)
A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)
A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.
Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.
I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
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Related Questions (More Answers Below)
an isosceles triangle has at least__congruent sides
Answers
Answer:
two
Step-by-step explanation:
an isosceles triangle has at least two congruent sides
Fill in the blank
When you multiply exponents with the same base, you _______ the base, and ________ the exponents
Answers
Answer:
multiply the base and add the exponents
a rectangular swimming pool is 15 feet long and x feet wide. What is the perimeter when x=12 feet
Answers
Answer: 54 square feet
Step-by-step explanation:
To find perimeter of a rectangle we must use the formula l+l+w+w=p where l and w represent width and length
Since we know length and width is x=12 just substitute so
15+15+12+12=54 so 54 is the perimeter
94.76 is 23% of what number?
Answers
Answer:
412
Step-by-step explanation:
i need more letters snsnsnsnsjjs
9(w + 6) simplified. please help!
Answers
Answer:
9w+54
Step-by-step explanation:
9(w + 6
distribute
9w+54
SOMEONE PLS HELP!!! ITS DUE !!!
Answers
Answer:
d we cannot compare it volume to bh cubic inches
Round: 3052.08
To the nearest hundredth
Answers
Answer:
3052.08
Step-by-step explanation:
since there is nothing next to the hundredths place its 3052.08, unless your taking about the hundreds place then it would be 3100.00.
Here are the first five terms of an arithmetic sequence
5 8 11 14 17
Find an expression for the nth term of this sequence:
A: 3n+2
B: 5n+3
C: add 3 each times
D: 3n
Answers
the difference between each term is 3 meaning it’s 3n. if you then take away 3 from the first term you are left with 2. this means the nth term is 3n+2
Who understands how to do this mess?
Answers
Answer: 140
Step-by-step explanation:
Angle 4 and A are supplementary meaning they add to 180
Thus you can do 180-40 = 140 to get that angle A = 140.
Since the two lines are parallel, Angle A is congruent to Angle D. Then, since Angle D is opposite Angle 3, we know that that Angle 3 and Angle D are congruent.
answer to 9+5u+6u+1 ??
Answers
Answer:
.10 + 11u or 11u + 10
Step-by-step explanation:
combine like terms:
. 5u + 6u = 11u
. 9 + 1 = 10
Answer:
10+11u
Step-by-step explanation:
9+5u+6u+1
1. add the numbers that are the same. 9+1= 10
2.do the same thing to the other number(s) 5u+6u= 11u
3. add both you're answers together 10+11u
Can someone please help me answer this??
Answers
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate factor by which the length of the side of the square is increased?
Answers
Answer:
The length has increased by a factor of 4/3 or 1 1/3
Step-by-step explanation:
To find the initial length.: root 36.
Root 36 = 6
Then to find the increased version, first find the area: 36 + 28 = 64
Now, the length.
Root 64 = 8
To find the factor it increased by:
6x = 8
x = 8/6 = 4/3
The length has increased by a factor of 4/3 or 1 1/3
Simplify the expression to a+bi form:
(-6-10i)(2-3i)
Answers
Answer:
-42-2i
Step-by-step explanation:
Which is equivalent to 16^3/4
Answers
Answer:
1024
Step-by-step explanation:
How many right angles need to be put together to make:
a.) 360 degrees?
b.) 180 degrees?
C.) 270 degrees?
d.) A straight angle?
Answers
Answer:
A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.
Answer:
A. 4
B. 2
C. 3
D. 2
Step-by-step explanation:
Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..
Remember like this:
90 x 1 =90
90 x 2 =180
90 x 3 = 270
90 x 4 = 360
20 Is 80 percent of what number?
A 21
В 22
С 24
D 25
Answers
Answer:
D. 25
25 percent * 80 =
(25:100)* 80 =
(25* 80):100 =
2000:100 = 20
Which number is irrational?
Answers
Answer:
Irrational numbers are numbers that cannot be expressed as the ratio of two whole numbers. This is opposed to rational numbers, like 2, 7, one-fifth and -13/9, which can be, and are, expressed as the ratio of two whole numbers.
Select the two
pairs of figures that are similar.
Answers
Answer:
the first 2 pairs are equal in shape and proportion.
can someone help me solve this?
Answers
Answer:
Try B
Step-by-step explanation:
That's what I would choose. Sorry if it's wrong.
Curved surface of a cone of slant height 20 cm and base radius 14 cm is ____. * 1 point 280 sq.cm 2080 sq.cm 1496 sq.cm 880 sq.cm
Answers
Answer:
880 cm²
Step-by-step explanation:
Given that :
Curved surface area of a cone : πrl
r = base Radius = 14 cm
l = slant height = 20 cm
Hence,
Curved surface area = π * 14 * 20
Curvwd surface are = π * 14 * 20
Curved surface area = 879.64594 cm²
Curved surface area = 880 cm²
What is the triangle congruence postulate
Answers
Answer:
7.09 meters allpppppppp
what ratio is equivalent to 9/8
Answers
Answer:
3:4
Step-by-step explanation:
divide into simplest form would be 3:4
Answer:
:)
Step-by-step explanation:
9 :8 18 :16 27: 24 36:32 45:40 54:48 63:56 72:64 81:72 90:80 99:88
Find tan(B) in the triangle
Answers
Answer:
Answer is B
Step-by-step explanation:
SohCahToa
[tex]tan = \frac{o}{a} [/tex]
Hypotenuse : Opposite the right angle. : 13
Opposite : Opposite the B angle : 5
Adjacent : The only side left : 12
we need opposite and adjacent, hypotenuse is irrelevant in this question.
Substitute the numbers
[tex]tan( \frac{5}{12} )[/tex]
I NEED HELP ON THIS ONE TOO SAME THING ILL GIVE BRAINLIEST
Cassidy plans to paint the four walls of her bedroom. Each wall measures 12 feet by 10 feet. The window measures 2.5 feet by 4 feet. The door measures 3 feet by 7 feet. How many square feet will Cassidy paint if she does not paint the window and door? Sketch the figure below and show are calculations.
Answers
Answer:
449 sq ft
Step-by-step explanation:
The school band is having a car wash to raise money. There goal is to collect $150. So far they have earned $10 each from three families and $5 each from 15 families.How much more money do they have to earn to reach their goal?
Answers
help pls! ill mark best answer brainliest
Answers
Use the translation (x, y) = (x + 5, y - 9) for questions a-e.
a. What is the image of A (-6, 3)?
b. What is the image of (4,8)?
c. What is the image of (5.-3)?
d. What is the image of A from #1, which would be called A"?
e. What is the pre-image of D' (12. 7)? (x - 5, y + 9)
Help please!!
Answers
Answer: it’s a I have the same question but I have to solve and they already gave me the answer
Step-by-step explanation:
A survey asked 12 students how many portable electronic devices they have in
their homes. The results are shown in the line plot below.
Based on the data in the line plot, calculate the following.
SHOW YOUR WORK! Each question is worth 2 points.
a) Mean (Round your answer to the nearest tenth.)
b) Median
c) Mode
d) Range
e) What percentage of the students have more than 3 portable electronic
devices in their home? Give your answer as a fraction, decimal, and percent.
Answers
Answer:
should be either b or c
Step-by-step explanation:
Answer:
Mean: 4.6666666
Mode: 5.5
Range: 6
75%
Step-by-step explanation: