Answer:
46.08 feet.
Step-by-step explanation:
Given that, for length, [tex]l[/tex] feet, the time period, [tex]f(l)[/tex], of the pendulum is
[tex]f(l)=2\pi\sqrt{\frac{l}{32}}[/tex].
As the time period equals the time taken by the pendulum in one back and forth motion, so, actually, the given [tex]2.4\pi[/tex] seconds to swing back and forth is the time period.
Let [tex]l_0[/tex] feet be the length of the pendulum for the time period [tex]2.4\pi[/tex] seconds, so
[tex]f(l_0)=2.4\pi[/tex]
[tex]\Rightarrow 2\pi\sqrt{\frac{l_0}{32}}=2.4\pi[/tex]
[tex]\Rightarrow \sqrt{\frac{l_)}{32}}=1.2[/tex]
[tex]\Rightarrow \frac{l_0}{32}=(1.2)^2[/tex] [squaring on both the sides]
[tex]\Rightarrow l_0=1.44\times32[/tex]
[tex]\Rightarrow l_0=46.08[/tex]
Hence, the approximate length of a pendulum that takes [tex]2.4 \pi[/tex] seconds to swing back and forth is 46.08 feet.
Answer:
the answer is d on edge 2020
Step-by-step explanation:
Please help please help
For each set of sequences, find the first five terms. Then compare the growth of the arithmetic sequence and the geometric sequence. Which grows faster? When? Anthmetic sequence: f(1) = 2; common difference: d = 3 Geometric sequence: g(1) = 2; common ratio: r = 3 Arithmetic Geometric 9(2) which value do you think will be more, f(100) or (100)? Why? (100)
Answer:
yx(yx)-x11
Step-by-step explanation:
its the x-axis can contribute with the center so it makes since so its yx(yx)-x11
Solve 4(x + 1) = 4x + 4
A- No solution
B- 0
C- All real numbers
D- 1
what is the quotient?
- 4/5 divided by 2
o -1 2/5
o - 2/5
o 1/2
o 1 3/5 ✨
[tex] - \frac{4}{5} \div 2 = - \frac{4}{5} \times \frac{1}{2} = - \frac{2 }{5} \\ [/tex]
So the second one is the correct answer.
Answer:
- 2/5
Step-by-step explanation:
divide
add - sign
hope this helps
Find the slope of the line passing through each of the following pairs of points.
(0, -8), (0,4)
Answer:
The slope is undefined
Step-by-step explanation:
You can find the slope by doing change in y/change in x.
Y changed by 12 units while x changed by 0.
12/0 is undefined, so the slope is as well (on a graph, the line would be vertical)
0 or undefined or infinity
Step by step explanation:
slope = y2 - y1 / x2 - x1
= 4 + 8 / 0 + 0
= 12 / 0
= 0
this is what I meant on my last question. sorry
Answer:
its C
Step-by-step explanation:
Where is the shading in the graph of the quadratic inequality y > -22 + 6x + 3? Why?
Answer:
Check Graph below
Step-by-step explanation:
y > -22 + 6x + 3
Add -22 and 3.
y > 6x - 19
Use the slope-intercept form to find the slope and y-intercept.
Slope: 6
y-intercept: (0,-19)
Graph a dashed line, then shade the area above the boundary line since y is greater than 6x − 19 .
y > 6x - 19
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
PLEASE HELP ME ASAP !!!!!!!!!!!!!!!!!
Answer:
rational numbers
Step-by-step explanation:
all numbers are rational, but not all numbers are integers or whole numbers.
What are the coefficients for the binomial expansion of (p + q)6?
1, 8, 28, 56, 70, 56, 28, 8, 1
1, 6, 15, 20, 15, 6, 1
1, 5, 10, 10, 5, 1
1, 4, 6, 4, 1
Answer:
1, 6, 15, 20, 15, 6, 1
Step-by-step explanation:
The binomial expansion of (p + q)⁶ gives 1, 6, 15, 20, 15, 6, 1.
There is always one more extra term for each power;
(p + q)⁰ = 1
(p + q)¹ = 1 1
(p + q)² = 1 2 1
(p + q)³ = 1 3 3 1
(p + q)⁴ = 1 4 6 4 1
(p + q)⁵ = 1 5 10 10 5 1
(p + q)⁶ = 1 6 15 20 15 6 1
The above is a paschal triangle and which shows the coefficients of the expanded terms to their power.
Answer: B: 1, 6, 15, 20, 15, 6, 1
a baseball pitcher has 12 2/3 innings
Answer: The answer is 1.375
Step-by-step explanation:
Sam found that 25% of the 236 patients he saw in a week were near-sighted. How many of the patients Sam saw were near-sighted?Sam found that 25% of the 236 patients he saw in a week were near-sighted. How many of the patients Sam saw were near-sighted?
Answer:
59 patients
Step-by-step explanation:
Total patients Sam saw in a week = 236
Percentage of patients near-sighted = 25%
How many of the patients Sam saw were near-sighted?
Number of patients near-sighted = 25% of 236
= 25/100 × 236
= 0.25 × 236
= 59
Number of patients near-sighted = 59 patients
The number of patients Sam saw in a week that were near-sighted is 59 patients
Bastian was able to map triangle ABC onto triangle A'B'C' using a reflection, rotation, and a dilation. Then Bastian concluded that he was able to map triangle ABC onto triangle A'B'C' using a sequence of rigid transformations and dilations, so the triangles are similar. What error did Bastian make in his conclusion?
Bastian used a rotation, so the triangles aren't similar.
Bastian used a combination of similarity transformations, which can produce a non-similar result.
There is no error. This is a correct conclusion.
Bastian used a dilation, which does not preserve similarity.
Find the measure of each angle.
B
(15x - 2)
17
(7x + 40°
A
12
mZBAC =
mZCAD =
Answer:
In the pic
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
The ∠BAC is 58° and ∠CAD is 32° for the given figure.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given,
∠BAD = 90°
Since,
∠BAD = ∠BAC + ∠CAD
15x - 2 + 7x + 4 = 90°
22x = 88 ⇒ x = 4
So,
∠BAC = 15(4) - 2 = 58°
And
∠CAD = 7(4) + 4 = 32°
Hence "The ∠BAC is 58° and ∠CAD is 32° for the given figure".
For more about the angle,
brainly.com/question/13954458
#SPJ2
What is 14.764823 rounded to?
Answer:
14.76 (if rounded by hundredths.)
Step-by-step explanation:
hoped this help </3
PLEASE HELP, DUE SOON!!
Answer:
If your Simplifying the expression the answer would be 243b2
Answer:
angles 3 and 4 are a linear pair
Step-by-step explanation:
3 and 4 are a linear pair because the both make up 180 degrees together.
Transformations of quadratics
y=2(x-1)^2+1
y=-(x-3)^2-4
Is this graph a function?
Answer:
Yes!
Step-by-step explanation:
Because it passes the vertical line test.
Answer:
no, because if you use vertical line test the graph would have intersects many times.
Evaluate if x = -3, y = -2, and z = 11:
x(4y + z)²
If x = -3, y = -2 and z = 11, we can plug it into the equation provided.
x(4y + z)²
-3(4(-2) + (11))²
-3(-8 + (11))²
-3(-8 + (11))²
-3(3)²
-3(9)
-28
Thus, the final answer would be -28.
Lucy is saving money to buy a game. The game costs $21, and so far she has saved one-third of this cost. How much money has Lucy saved?
Answer:
$7
Step-by-step explanation:
just did 21 divided by three since it says she has saved one third of the $21.
Step-by-step explanation:
one third of $21 is $7 this is your answer
9 increased by the quantity of b added to 10
Answer:
19b + 10
Step-by-step explanation:
Here, we want to increase 9 by the quantity of b added to 10.
We proceed as follows;
9 increased by quantity of b is 9 + b
This added to 10 would be 9 + b + 10 = 19b + 10
I NEED THE ANSWER TO THIS ASAP PLEASE!!!
what is 1/25 of 5.2 time 10 to the power of 3?
Answer:
208
Step-by-step explanation:
Answer:8
Step-by-step explanation:
What is the correct equation in vertex form for x^2+4x-12=0
Answer:
[tex]\boxed{(x+2)^2-16=0}[/tex]
Step-by-step explanation:
[tex]{}\quad x^2\,+\,4x\ -\ 12=0\\\\\underbrace{x^2+2\cdot x\cdot2+2^2}-2^2-12=0\\\\{}\qquad(x+2)^2\ \ -4-12=0\\\\{}\qquad(x+2)^2-16=0[/tex]
ax +3= 6
Solve for x.
Answer:
Step-by-step explanation:
Let's solve for a.
ax+3=6
Step 1: Add -3 to both sides.
ax+3+−3=6+−3
ax=3
Step 2: Divide both sides by x.
ax /x = 3 /x
a= 3 /x
Answer:
a= 3 /x
Answer:
ax = 3
Step-by-step explanation:
ax + 3 = 6
Subtract 3 from both sides of the equation
ax = 3
I hope this helps :)
What is the equation of the graphed line?
a. y=x+4
b. y=-x-3
c. y=-x+3
d. y=-x-4
Answer:
b.) y=-x-3
Step-by-step explanation:
Your slope is negative 1 and the y intercept is -3.
find the pattern 7,10,14,19
Answer:
the answer is 25
Step-by-step explanation:
-3+x - 1/3x+4
plz simplify this :)
Is the side lengths 7,24,25 a right triangle
Answer:
Yes
Step-by-step explanation:
Because these sides fit right in pythagoras theorem
24²+7²=25²
Can someone answer both of these questions?
Answer:
First one is 1260°
Second one is 720°
Step-by-step explanation:
Hope this helped :)
The product of 2x^3 and 6x^5 is
Factor and solve each quadratic equation
Show your work
2t^t+t-3=0
Answer:
t=1
Step-by-step explanation:
2t+t−3=0
2t+t+−3=0
(2t+t)+(−3)=0(Combine Like Terms)
3t+−3=0
3t−3=0
Step 2: Add 3 to both sides.
3t−3+3=0+3
3t=3
Step 3: Divide both sides by 3.
3t
3
=
3
3
t=1
