The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
Which is a finite geometric sequence?
a. {300, 30, 0.3, 0.003, …}
b. {5, -15, 45, -135, 405}
c. {5, 10, 15, 20, …}
d. {27, 32, 37, 42, 47}
Answer: {5, -15, 45, -135, 405}
Step-by-step explanation: In a finite sequence, there's a number of limited terms. And those terms have a common ratio, in this case, the common ration is -3. Notice how 5*-3 is -15, and -15*-3 is 45, and so on until 405.
The finite geometric sequence is {5, -15, 45, -135, 405}.
Thus, option (B) is correct.
A geometric sequence is a sequence in which each term is obtained by multiplying the preceding term by a constant factor called the common ratio.
In the finite geometric sequence {5, -15, 45, -135, 405}
In this sequence, each term is obtained by multiplying (-3) to the previous term.
So, the common ratio
= (-15)/ 5
= -3
Therefore, the sequence is {5, -15, 45, -135, 405}.
Thus, option (B) is correct.
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Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.
Answer:
X will be your answer be 126 and 110
Step-by-step explanation:
6x3x7=126
y=11x2x5=110
so X>Y
hope it helps!
What is the volume of the square pyramid? 11cm and 11cm
Answer:
1331 feet3
Step-by-step explanation:
Answer:
V = (1/3)(121 in^2)(11 in) = 443.7 in^3
Step-by-step explanation:
If the side length of the square base is 11 cm, then the area of that base is (11 cm)^2, or 121 cm^2. If the height of the pyramid is 11 cm (as you seem to indicate), then the volume of the squre pyramid is
V = (1/3)(121 in^2)(11 in) = 443.7 in^3
Javeigh lives in Chicago and takes a plane to Los Angeles. When Javeigh left the house it was -12°. When the plane landed in Los Angeles, Javeigh realized it was 30° hotter! What was the temperature when Javeigh landed in Los Angeles?
Express 0.74 as a percentage
Answer:
74%
Step-by-step explanation:
0.74 × 100 = 74%
Answer:
74% (answer).
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%
Herbert has three lawn-mowing jobs. One lawn is shaped like a trapezoid,
one like a triangle, and one like a rectangle. The trapezoidal lawn has bases that are 90 feet and 126 feet and a height of 75 feet. The triangular lawn has a height of 80 feet and a base of 105 feet. The rectangular lawn has a length of 120 feet and width of 90 feet. If Herbert can cut a 160 ft × 70 ft lawn in 2 hours, how long will it take him to mow all three lawns?
Answer:
4.125 hours
Step-by-step explanation:
Trapezoid shaped lawn :
Bases : 90 ; 126 ; height = 90
Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height
Area of trapezium = 1/2(90 + 126) * 75
Area = 108 * 90 = 8100 feets
Triangular lawn :
Height = 80 feets ; Base = 105 feets
Area of triangle = 1/2 base * height
Area = 1/2 * 80 * 105 = 4200 feets
Rectangular lawn :
Length = 120 feets ; width = 90 feets
Area of rectangle = Length * width
Area = 120 * 90 = 10800 feet²
Area of all 3 lawns = (8100 + 4200 + 10800) = 23100
In 2 hours ; Herbert can now (160 * 70) = 11200 feets
23100 / 11200 = 2.0625
Tine required to mow all three lawns :
2 hours * 2.0625 = 4.125 hours
= 4 hours, 7 minutes, 30 seconds
Can someone explain to me what 8√42 ÷ 2√7 is?
Answer:
Step-by-step explanation:
8√42 ÷ 2√7 is 8√42/2√7 in a fraction form
you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.
8√42/2√7 * 2√7/2√7 = 4√6
A pattern of ordered pairs is shown below.
(1,3), (3, 6), (5, 12), (7, 24)
If this pattern continues, what is the sixth ordered pair in the pattern?
please answer this fast
Answer:
(9,48)
Step-by-step explanation:
The x's are being added by 2, while the y's are being multiplied by 2.
Find the measure of angle x. Help!
Answer:
98 ° is measures angle x.Hope this helps you.
Find the length of the missing leg in the triangle below.
10 in
a
8 in
I need this answer in 30 minutes
Answer:
12.8 in
Step-by-step explanation:
a²+b²=c²
10²+8²=164
Find the square root of 164 which is 12.8
(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
If -7d - 5 = 23, then d =
Answer:
d=-4
Step-by-step explanation:
-7d - 5 = 23
-7d = 28
d = -4
Answer:-6d-3f+5
Step-by-step explanation:
Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees. How far from the shore is the ship? Now Pat sights a second ship beyond the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?
Answer:
(a). 2399.23 meters.
(b). 1944.19 meters apart.
Step-by-step explanation:
We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.
(a) We are asked to find how far from the shore is the ship.
We know that tangent relates opposite side of a right triangle with its adjacent side.
Therefore, the ship is approximately 2399.23 meters away from the shore.
Therefore, the both ships are approximately 1944.19 meters apart.
what is the difference between 2.23 seconds and 3.13 seconds?
Answer:
0.9
Step-by-step explanation:
3.13-2.23=0.9
Answer:
Do you mean subtraction?
Step-by-step explanation:
If so
− 0.9 is your answer
Also bts army?
May someone possibly help me please
Answer:
24____________________
Which expression is equal to 16?
Answer:
D
Step-by-step explanation:
so the exponent outside of the parentheses cancels out the fractioned one inside since 3 is the reciprical of 1/3 (basically its 1/3 flipped creating 3/1)
A circle has a radius of four arc in the circle has a central angle of 280° what is the length of the arc
Answer:
20.096 units
Step-by-step explanation:
Given that,
The radius of circle, r = 4
The measure of central angle = 288°
We need to find the arc length. The formula to find the arc length is given by :
[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\l=\dfrac{288}{360}\times 2\times 3.14\times 4\\\\l=20.096\ m[/tex]
So, the arc length is equal to 20.096 units.
2) Which statement is modeled by 2p + 5 < 11?
(1) The sum of 5 and 2 times p is at least 11.
(2) Five added to the product of 2 and p is less than 11.
(3) Two times p plus 5 is at most 11.
(4) The product of 2 and p added to 5 is 11
Answer:
(2) Five added to the product of 2 and p is less than 11.
Step-by-step explanation:
2p + 5 is represented by five added to the product of 2 and p.
This is because 2p is the product, and 5 is added to it.
The less than inequality means that 2p + 5 is less than 11.
So, the correct statement is (2) Five added to the product of 2 and p is less than 11.
Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the shelter.
Line plot named as ALTDCWeights of Kittens in ShelterALTDC shows a number line from half to two and half. The number line is divided into 4 equal parts. 3 dots on half, 2 dots on 1 and 1 dot on one and half is given.
What is the total weight of the kittens in the shelter?
Answer:
The total weight is 5kg
Step-by-step explanation:
Given
See attachment for box plot
Required
Determine the total weight of the kitten
First, we represent the plot in the following table where the number of dots represent the frequency.
So, we have:
[tex]Weight \to Frequency[/tex]
[tex]\frac{1}{2} \to 3[/tex]
[tex]1 \to 2[/tex]
[tex]1\frac{1}{2} \to 1[/tex]
[tex]2 \to 0[/tex]
[tex]2\frac{1}{2} \to 0[/tex]
Multiply the weight by the frequency, then add up the result
So, we have:
[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]
[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]
[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]
Express as improper fraction
[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]
Take LCM
[tex]Total = \frac{3+4+3}{2}[/tex]
[tex]Total = \frac{10}{2}[/tex]
[tex]Total = 5kg[/tex]
I will pick you to be a brainlist and give you 100 points
Answer:
its b
Step-by-step explanation:
What is the value of three to the fourth power?
Miguel weighs himself and discovers he weighs 83,600 grams. How many kilograms does Miguel weigh?
The solution is, 83.6 kilograms does Miguel weigh.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
here, we have,
given that,
Miguel weighs himself and discovers he weighs 83,600 grams.
now.,, we have to find that how many kilograms does Miguel weigh.
we know that,
1000 grams = 1 kg
so, we have,
he weighs 83,600 grams
so,
as, 1000 grams = 1 kg
so, 1 gram = 1/1000 kg
we get,
83,600 grams = 1/1000 * 83,600 kg
i.e. 83,600 grams = 83.6 kg
Hence, 83.6 kilograms does Miguel weigh.
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Six Less than four times a number is
-70
The answer is 286
Step-by-step explanation:
70 x 4 = 280 plus 6 equals 286
I have to do 4 gallons 2 quarts of juice. Second one is 1 3/4 gallons more than the first one and how many are together.
Answer: [tex]\dfrac{43}{4}\ \text{Gallons}[/tex]
Step-by-step explanation:
Given
The first one has 4 gallons and 2 quarts of juice
The second one has 1 [tex]\frac{3}{4}[/tex] gallons more than the first
First has
[tex]\Rightarrow 4+\dfrac{2}{4}\\\\\Rightarrow \dfrac{9}{2}\ \text{Gallons}[/tex]
second has
[tex]\Rightarrow 1\dfrac{3}{4}+\dfrac{9}{2}\\\\\Rightarrow \dfrac{7}{4}+\dfrac{18}{4}\\\\\Rightarrow \dfrac{25}{4}\ \text{Gallons}[/tex]
together it is
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{18}{4}\\\Rightarrow \dfrac{25+18}{4}\\\Rightarrow \dfrac{43}{4}\ \text{Gallons}[/tex]
How do you find the area of shapes like this?
Answer:
You can make it to a rectangle and a square
Step-by-step explanation:
Answer:
you split it into 2 different parts, then add the area.
the answer to this question is 18in squared
Please help
!!!!!!!!!!!
jmryhnrfthyj4u5ikjhgtrfrgthyjunr
please help, you can just slide the answer
Answer:
c is correct have a nice day
Step-by-step explanation:
Find the value of each expression. Show work. a) (4 + 3*2)= (10 -5) b) 3+ (6-2) x 32
A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Complete Question
A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Answer:
Step-by-step explanation: