According to legend, in 1589 the Italian scientist Galileo
Galilei dropped two rocks of different weights from the top of the Leaning Tower
of Pisa. He wanted to show that the rocks would hit the ground at the same time.
Given that the tower's height is about 177 feet, how long would it have taken for
the rocks to hit the ground?
1
To solve this problem solve the equation
O= 16t² + 177 Round to the hundrettes place,
Don't forget
to label your
answer
From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.
From the information given, the formula for the height is given as:
h(t) = -16t² + v + h0
where,
h0 = 177
h(t) = 0
We'll put the values back into the formula. This will be:
h(t) = 16t² + v + h0
0 = -16t² + 177
16t² = 177
t² = 177/16
t = 3.326
Therefore, the time taken will be 3.326 seconds.
Learn more about time on:
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C.
Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can
buy either packages of folded paper or rolls of paper. Minh sold 6 rolls of paper and 2
packages of folded paper for a total of $44. Mikayla sold 3 rolls of paper and 9 packages
of folded paper for a total of $54. How much does each roll cost? How much does each
package of folded paper cost?
Answer:
Rolls $6, Folded $4
Step-by-step explanation:
Minh: 6r + 2f = 44
Mikayla: 3r + 9f = 54
Multiply Mikayla's x 2: 6r + 18f = 108
Subtract Minh: 6r + 2f = 44
16f = 64
f = 4, Folded paper is $4.
Substitute 4 for f into one of the equations.
6r + 2(4) = 44
6r + 8 = 44
6r = 36
r = 6 Rolled paper is $6
a √(x^2-n/m)= a^2/b make x subject
[tex]\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}[/tex]
please help me, i dont really understand this
Answer:To convert a mixed fraction to an improper fraction, follow these steps:
Multiply the whole number part by the fraction's denominator.
Add that to the numerator. or this might also help,
Then write the result on top of the denominator. To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have.
Step-by-step explanation:
Hope this help
Y=-1,X+2y=-6 solve by substitution show all work
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
[tex]x+2y=-6[/tex]
[tex]y=-1[/tex]
_________
[tex]x+2\left(-1\right)=-6[/tex]
[tex]x-2\times \:1=-6[/tex]
Multiply: 2*1= 2
[tex]x-2=-6[/tex]
Add 2 to both sides:
[tex]x-2+2=-6+2[/tex]
[tex]x=-4[/tex]
________________
* Hope it helps
* Have a good day!
________________
Answer:
x = -4, y = -1
Step-by-step explanation:
Simple, just plug the Y in
(Pemdas)
x+2(-1) = -6
x-2 = -6
x = -4
-4+2y = -6
2y = -2
y = -1
Please help me with this question
Answer:
F
Step-by-step explanation:
Answer:
F
Step-by-step explanation:
You only need to read as far as ...
y ≤
to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).
The graph with a solid line and shading below is graph F.
Hello could someone help me I don’t get this? Will name brainliest :D if correct answer please no links
Answer:
A -- only
Step-by-step explanation:
A segment bisector intersects a segment at its midpoint.
S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)
No other midpoints are shown in this drawing.
__
A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.
__
An angle bisector divides an angle into two congruent parts. None are shown in this drawing.
__
The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)
5+(3²-4)-6/3 please help
Therefore, 8 is the answer.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
1) Find the probability of rolling a
number greater than 3 on a standard
number cube.
Answer:
50%
Step-by-step explanation:
show that 12n cannot end with the digit 0 or 5 for any natural number
Answer:
Step-by-step explanation:
It can end with a 0.
For example 12 * 5 = 60.
a perfect score in bowling is 300 points. you get a perfect score if you knock down 120 pins in 10 frames. what are the decimal value and percent of the number of pins knocked down in a relation to a perfect score?
Answer:
number of pins to perfect score
120/300=40/100
percent means parts out of 100
40/100=40%
answer is 40% or 0.40
NOTE: To find the percentage we will multiply decimal value of number of know down pins to a perfect score by 100
Number of know down pins to a perfect score= 0.4 x 100
Number of know down pins to a perfect score=40%
If correct please give brainliest
Stay safe and healthy
Thank You
At what point does the terminal side of the angle 7pi /4 in standard position intersect the unit circle
Answer: it’s A
Step-by-step explanation: I just did the quiz
round 849,354 to the nearest hundredth.
Answer:
849,400
Step-by-step explanation:
hi
Answer:
I thinks it 849,400 bc you would round it up because it over half
The first four terms of a sequence are shown below: 9, 5, 1, â’3 Which of the following functions best defines this sequence? f(1) = 9, f(n 1) = f(n) â’ 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 4; for n ≥ 1 f(1) = 9, f(n 1) = f(n) â’ 5; for n ≥ 1 f(1) = 9, f(n 1) = f(n) 5; for n ≥ 1.
The function that best defines this arithmetic sequence is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]What is an arithmetic sequence?In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.The recursive function that defines the sequence is:
[tex]f(n) = f(n - 1) + d[/tex]
[tex]f(1) = f_0[/tex]
In which [tex]f_0[/tex] is the first term.In this problem, the sequence is: {9, 5, 1, -3}
Each term is the previous term subtracted by 4, hence [tex]d = -4[/tex].The first term is 9, hence [tex]f_0 = 9[/tex].Hence, the function is:
[tex]f(n) = f(n - 1) - 4, f(1) = 9[/tex]You can learn more about arithmetic sequences at https://brainly.com/question/6561461
To identify the functions which best define the given sequence, we have to identify the number pattern.
The correct option is (a).
Given:
The given sequence is as follows,
[tex]9,5,1,-3[/tex]
What is an arithmetic sequence?The arithmetic sequence define as the difference between two consecutive number would be same.
If we subtract 4 form each digit we will get next digit.
[tex]9-4=5\\5-4=1\\1-4=-3[/tex]
So the function would be,
[tex]f(1) = 9, f(n + 1) = f(n) -4; \rm for \:n\geq 1[/tex]
The option (b) and (d) show the increasing function whereas we have decreasing sequence.
Thus, the correct option is (a).
Learn more about arithmetic sequence here
:https://brainly.com/question/12637273
Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&3x-1&=7 \\\\ B.&&3x&=8 \end{aligned}
A.
B.
3x−1
3x
=7
=8
Answer:
I don,t knowe wallh
Step-by-step explanation:
How much fence is needed to surround a garden with side lengths of 2.1 meters, 3.5 meters, 1.9 meters, and 2.25 meters?
Answer: 9.75m
Step-by-step explanation:
3.5 + 2.1 + 1.9 + 2.25 = 5.75 + 4 = 9.75 m
hi guys need some help with this one question thanks
Take two co-ordinates
(-2,0)(0,4)[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]
Equation in point slope form
[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]
[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]
[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]
HELP It's due in 15 minutes
Answer:
L
Step-by-step explanation:
Please Help Me Out Show You Work :) I will appreciate much
Step-by-step explanation:
6)
[tex]k = \frac{6}{4} \\ k = \frac{3}{2} [/tex]
7)
[tex] \frac{ab}{mn} = \frac{bc}{no} = \frac{cd}{op} = \frac{da}{pm} [/tex]
8)
[tex]y = 8 ( \frac{3}{2} ) \\ y = 12[/tex]
[tex]z = 6 ( \frac{3}{2} ) \\ z = 9[/tex]
9)
[tex]5k = 8 \\ k = \frac{8}{5} \\ x( \frac{8}{5}) = 32 \\ x = 20ft[/tex]
Find the common ratio of the geometric sequence 9, -18, 36, ...
Answer:
-2.
Step-by-step explanation:
-18/9 = -2.
36/-18 = -2.
We multiply by -2 to get the next number in the sequence.
Common ratio is -2.
Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.
Cars are vehicles means cars=Vehicles
So
[tex]\\ \sf\longmapsto C=V[/tex]
Converse statement:-
Vehicles are cars[tex]\\ \sf\longmapsto V=C[/tex]
Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?
Answer: 150 students
Step-by-step explanation:
Let X be the total number of students. We are told that:
0.60X = 90 students
X = (90 students)/0.60
X = 150 students
Which one is not a function??
Answer:
The first one. All the x values are 2. So it wouldn't pass the vertical line test.
Step-by-step explanation:
30x - 12y
i need help
Step-by-step explanation:
if you factor it will be 6(5x-2y)
if you graph the slope will be 5/2
in the diagram m∠UYF= 42 1/8
What is ∠FYT?
Step-by-step explanation:
FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).
so,
FYT = 180 - 42 1/8 = 137 7/8°
as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.
need help on this one
Answer:
[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]
Step-by-step explanation:
[tex]x=2\sqrt[3]{y-3} +4[/tex]
switch the x and y, then use order of opperations
the actual height of the building in this scale drawing is 144 feet what is its actual width?
What is x? Show your work.
Answer: x=2
Step-by-step explanation: 28/4-5= 2
1. Look at the figure. Find y.
A)15
B)-3
C)2
D)3
Answer:
y = 3
Step-by-step explanation:
The triangles are congruent by AAS.
Sides 5y and 3y + 16 are congruent by CPCTC.
5y = 3y + 6
2y = 6
y = 3
You guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer: Situation:
Step-by-step explanation:
You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!
:)