The location of an image can be determined by drawing at least two rays. There are two types of mirrors - concave and convex. Concave mirrors have a reflecting surface that is curved inwards. On the other hand, convex mirrors have a reflecting surface that is curved outwards.
A concave mirror is a mirror that is curved inward like a spoon. An incident ray that is parallel to the principal axis reflects through the focus point. Similarly, a ray that passes through the focus point reflects as a parallel ray along the principal axis. The image formed by a concave mirror is real and inverted if the object is beyond the focus point.
A convex mirror is a curved mirror that is bulged outward. A parallel incident ray reflects as if it originates from the focus point behind the mirror. This image is always virtual, upright, and smaller than the object, as shown in the image below. There is only one image formation with convex mirrors
A lens is a transparent object made of a material with a refractive index that differs from that of air. There are two types of lenses - convex lenses and concave lenses. Convex lenses have a thicker center than their edges and are also known as converging lenses. Concave lenses, on the other hand, have a thinner center than their edges and are also known as diverging lenses.
Therefore, an incident ray that is parallel to the principal axis appears to come from the focus point in front of the lens. The image formed by a convex lens is real if the object is beyond the focus point and inverted if the object is between the focus point and the lens. If the object is within the focus point, the image is virtual, upright, and larger than the object. The location of an image can be determined by drawing at least two rays.
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A naval station sees waves with 5.6 meters between crests, and these waves hit the station every 4.25 seconds.
What is the speed of these water waves??
Answer:
the formula v = f×lambda.
v= 4.25× 5.6
therefore speed is
23.8 meters per second
9) An elephant puts a force of 36 000 N on its four feet, which each have an area of 1800 cm².
What is the pressure it exerts on the ground?
Answer:
Explanation:
Given:
F = 36 000 H
S₁ = 1 800 cm² = 0.18 m² (The area of the base of one elephant's foot)
n = 4 (number of legs on an elephant )
______________________
p - ?
Support area:
S = n·S₁ = 4·0.18 = 0,72 m²
Pressure:
\(p = \frac{F}{S} \\p = \frac{36000}{0.72} = 112 500 Pa\)
p ≈ 110 kPa
Professional research telescopes should be large enough to gather sufficient radiation from space. Which of these statements best explains why a reflecting telescope is best used as a professional research telescope?
Question 5 options:
Mirrors of reflecting telescopes gather harmful radiations from space.
Bigger lenses are easier to manufacture and they produce less distortion.
The series of mirrors and lenses help to reduce distortion of images.
Reflecting telescopes reflect away more radiation and distort images.
Answer:
Bigger lenses are easier to manufacture and they produce less distortion.
Explanation:
A reflecting telescope is best used as a professional research telescope because " Bigger lenses are easier to manufacture and they produce less distortion."
This is evident in the fact that the mirror of a reflecting telescope is simpler and inexpensive to be manufactured.
Also reflecting telescope is known not to support chromatic distortion, which often is a byproduct of dispersion.
Answer:
Bigger lenses are easier to manufacture and they produce less distortion
Explanation:
A 36.40 g sample of solid lead is initially at 304.00 oC. If the sample is heated at constant pressure ( = 1 atm), _____ kJ of heat are needed to raise the temperature of the sample to 482.00 o
C. The following information is given for lead at 1 atm:
Tb = 1740.00 o
C
Tm = 328 o
C
Hvap(1740.00 o
C) = 858.2 j/g
Hfus( 328.00 o
C = 23,00J/g
Specific heat solid = 0.1300 J/g o
C
Specific heat liquid = 0.1380 J/g o
C
To calculate the amount of heat needed to raise the temperature of the lead sample from 304.00 C to 482.00 C, we need to consider the following steps:
1. First, we need to determine the heat required to raise the temperature of the solid lead from 304.00 C to its melting point at 328 oC:
Q1 = m × Cs × ΔT
Q1 = 36.40 g × 0.1300 J/g oC × (328.00 oC - 304.00 oC)
Q1 = 94.48 J
2. Next, we need to determine the heat required to melt the solid lead at its melting point:
Q2 = m × Hfus
Q2 = 36.40 g × 2300 J/g
Q2 = 83,720 J
3. Then, we need to determine the heat required to raise the temperature of the liquid lead from its melting point to its boiling point at 1740.00 oC:
Q3 = m × Cl × ΔT
Q3 = 36.40 g × 0.1380 J/g oC × (1740.00 oC - 328.00 oC)
Q3 = 87,894.88 J
4. Next, we need to determine the heat required to vaporize the liquid lead at its boiling point:
Q4 = m × Hvap
Q4 = 36.40 g × 858.2 J/g
Q4 = 31,247.28 J
5. Finally, we need to determine the heat required to raise the temperature of the lead vapor from its boiling point to the final temperature of 482.00 oC:
Q5 = m × Cv × ΔT
Q5 = 36.40 g × 0.1380 J/g oC × (482.00 oC - 1740.00 oC)
Q5 = -204,634.4 J
Note that the temperature change is negative in this step, since we are cooling the lead vapor down from its boiling point.
6. To find the total heat required, we simply add up all the heat values from the previous steps:
Qtotal = Q1 + Q2 + Q3 + Q4 + Q5
Qtotal = 94.48 J + 83,720 J + 87,894.88 J + 31,247.28 J - 204,634.4 J
Qtotal = -1,110.96 J
The total heat required to raise the temperature of the lead sample from 304.00 oC to 482.00 oC is -1,110.96 J. Note that the negative sign indicates that the process is exothermic, i.e., heat is released rather than absorbed.
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2. If an object has two forces acting on it, how can the net force equal
0?
Answer:
if they both face each other they cancel out
Explanation:if there is one on 1 side and on the other as well they cancel out and it is 0
Answer:
If the forces are equal and the forces act in oppposite direction then the net force is equal to zero
The Weight of an object is more at pole and less at equator of the earth. Give reason
The Weight of an object is more at pole and less at equator of the earth because the distance of the pole is less than the distance of the equator from the centre of the earth.
how does metallic bonding result in useful properties of metals
Metallic bonding contributes to characteristic properties such as conductivity, malleability, ductility and others of metal due to their presence.
Metallic bonding is characteristic of metals where electrons and postive charges in metal participate in bonding. It has multiple significance such as it provides electrically conductive nature to the metal. The free delocalized electrons move under the influence of applied voltage giving the property of conductivity.
They are also responsible for thermal conductivity. The metallic bonding can also be attributed to malleability, ductility, strength, toughness and metallic luster.
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A boy in a tower throws a ball a distance of 60 meters. If the ball is launched from 20 m above the ground, at what speed is the ball thrown?
The speed the ball was projected upwards is 29.7 m/s.
The given parameters;
height in which the ball was thrown, h = 20 mdistance traveled by the ball, X = 60 mThe time of motion of the ball to travel to the given height is calculated as;
\(h = v_0_yt - \frac{1}{2} gt^2\\\\-20 = 0 - 0.5\times 9.8t^2\\\\-20 = -4.9t^2\\\\t^2 = \frac{20}{4.9} \\\\t^2 = 4.08\\\\t = \sqrt{4.08} \\\\t = 2.02\ s\)
The horizontal speed in which the ball was projected upwards is calculate as;
X = (v₀ₓ)t
60 = 2.02v₀ₓ
\(v_0_x = \frac{60}{2.02} \\\\v_0_x = 29.7 \ m/s\)
Thus, the speed the ball was projected upwards is 29.7 m/s.
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when talking about Acceleration ,what is significant about the about the sign(+ or -)?
Answer:
Acceleration at its most basic is the act of increasing your running speed. From a standing start (or blocks), you explode into action. If you’re already running, you pick up the pace. Acceleration continues until you can no longer increase your speed, at which point you achieve maximum velocity (top-end speed). Acceleration seems simple enough. The plus means your increasing speed, the k=minus means your decreasing in speed.
Explanation:
A 9.0-kg bowling ball on a horizontal, frictionless surface experiences a net force of 6.0 n. what will be its acceleration?
This question involves the concepts of Newton's Second Law of Motion.
The acceleration of the bowling ball will be "0.67 m/s²".
Newton's Second Law of MotionAccording to Newton's Second Law of Motion, when an unbalanced force is applied on an object, it produces an acceleration in it, in the direction of the applied force. This acceleration is directly proportional to the force applied and inversely proportional to the mass of the object. Mathematically,
\(F=ma\\\\a=\frac{F}{m}\)
where,
a = acceleration = ?F = Magnitude of the applied force = 6 Nm = Mass of the ball = 9 kgTherefore,
\(a=\frac{6\ N}{9\ kg}\)
a = 0.67 m/s²
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A 5 kg box is attached to a spring that has an elastic coefficient of 110 N/m. The spring is compressed to a distance of 0. 65 meters. What is the velocity of the box after it is released from the spring?
The required velocity of the box after it is released from the spring is 5.35 m/s.
The mass of the box m is given as 5 kg.
Elastic coefficient k is given as 110 N/m.
Compression of the spring x is given as 0.65 m.
We know the expression for force as,
F = k x
where,
k is the elastic coefficient
x is the compression in spring
Entering the values we have,
F = k x = 110 × 0.65 = 71.5 N ----(1)
Force is nothing but the tension in the spring which is given by the expression,
F = T = 1/2 m v² = 1/2 (5)v² = 2.5 v² ----(2)
Equating (2) and (1), we have,
2.5 v² = 71.5
v² = 28.6
v = 5.35 m/s
Thus, the velocity of the box after it is released from the spring is 5.35 m/s.
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Father drove 176 km in 7 hours. For the first 92 km he spent for 4 hours. What was his average speed for the remaining journey? _____km/h
Given :
Father drove 176 km in 7 hours.
For the first 92 km he spent for 4 hours.
To Find :
His average speed for the remaining journey .
Solution :
\(v_{avg}=\dfrac{u_1+u_2}{2}\\\\v_{avg}=\dfrac{u_1}{2}+\dfrac{u_2}{2}\\\\\dfrac{176}{7}=\dfrac{92}{4\times 2}+\dfrac{u_2}{2}\\\\\dfrac{u_2}{2}=\dfrac{176}{7}-\dfrac{92}{8}\\\\u_2=13.64\times 2 \ km/h\\\\u_2=27.28\ km/h\)
Therefore , his average speed for the remaining journey is 27.28 km/h .
Hence , this is the required solution .
Two football players are running toward each other. One football player has a mass of 105 kg and is running at 8.6 m/s. The other player has a mass of 90 kg and is running at -9.0 m/s.
What is the momentum of the system after the football players collide?
A. 93 kg · m/s
B. 1,713 kg · m/s.
C. 810 kg · m/s.
D. 903 kg · m/s.
Answer:
A
Explanation:
Answer:
Answer A-93
Explanation:
calculate the maximum centripetal acceleration that a test-tube sample held in the centrifuge arm 15.6 cm from the rotation axis must withstand.
15650 revs min & seconds = 260.833 revs a sec. If r = 15.7 mm, c=2(3.14)r ≈ 98.646 cm A rate of 0.98646 m/s. A max gravity force so a vial set as in centrifuge leg will life is eq(v2)/r = (0.986462)/0.157=6.19811 m/s2.
What does the centrifugation process entail?The process of centrifugation involves rapidly spinning molecules in solution around in an axle (in a centrifugal rotor) to separate them based on their densities. It is one of the more practical and widely used procedures in molecular biology labs.
Why do people use centrifuges?To sort fluids, gasses, or liquids depending on density, centrifuges are employed in a variety of laboratories. The purification of cells, organelles, viruses, proteins, and nucleic acids is a common task for centrifuges in both research and clinical facilities.
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what’s the answer ???
Answer:
i cant even see it
Explanation:
each current is doubled, so that i1i1 becomes 10.0 aa and i2i2 becomes 4.00 aa . now what is the magnitude of the force that each wire exerts on a 1.20 mm length of the other?
The magnitude of the force that each wire exerts on a 1.20 mm length of the other is 5.33 * 10^-10 N.
When the current in each wire is doubled, i1i1 becomes 10.0 aa and i2i2 becomes 4.00 aa. We need to calculate the magnitude of the force that each wire exerts on a 1.20 mm length of the other.
To calculate the force, we can use the formula F = (μ₀ * i1 * i2 * L) / (2 * π * d), where μ₀ is the magnetic constant, i1 and i2 are the currents in the wires, L is the length of the wire segment, and d is the distance between the wires.
For the first wire, i1 = 10.0 aa, and for the second wire, i2 = 4.00 aa. We can assume that the wires are parallel and the distance between them is constant, so we can take d = 1.20 mm.
Plugging in the values, we get:
F = (4 * π * 10^-7 * 10.0 aa * 4.00 aa * 1.20 mm) / (2 * π * 1.20 mm)
F = 5.33 * 10^-10 N
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Question
Which option is an example of a chemical property?
A. density
B. ability to react with oxygen
C. boiling point
D. color
Answer:
B. ability to react with oxygen
Explanation:
—Characteristics such as melting point, boiling point, density, solubility, color, odor, are PHYSICAL PROPERTIES.
—Properties that describe how a substance changes identity to produce a new substance are CHEMICAL PROPERTIES.
1. A vector is given by its components, Ax = 2.5 and A, = 7.5. What angle
does vector A make with the positive x-axis?
(A) 720
(B) 18°
25°
50°
(E) 75°
Answer:
A) 72° or 71.56°
Explanation:
We have two components on the X-axis and y-axis respectively. So we can use the tangent of the angle to be able to find the angle with respect to the horizontal component.
Ax = 2.5
Ay = 7.5
tan(α) = 7.5/2.5
\(\alpha = tan^{-1} (3)\\\)
α = 71.56°
The angle that vector A makes with the positive horizontal x-axis is 72°. Option A is correct.
The vector component Ax = 2.5 along the horizontal axis.The vector component Ay = 7.5 along the vertical axis.The angle at which vector A makes with the horizontal can be determined by taking the tangent of the angle θ.
we know that:
\(\mathbf{\tan \theta = \dfrac{opposite }{adjacent}}\)
\(\mathbf{\tan \theta = \dfrac{7.5 }{2.5}}\)
tan θ = 3
θ = tan⁻¹ (3)
θ = 71.57°
θ ≅ 72°
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Explain the importance of units by
sharing an example of a situation that could go wrong because there are no units
Answer:
Look below
Explanation:
Units are very important. Let's say we were building an apartment. We used meters for every measurement except for 1 support where we used centimeters. This could lead to the collapse of the whole structure as the measurements were wrong. 100 meters and 100 centimeters are very different.
The unit of measurement is very important. A measurement tells us about the property of something. It tells us how heavy an object is, or how long an object is. A measurement gives us a number to that property.
What's a unit in science?A unit is any standard used for making comparisons in measurements. Unit conversions allow for measurements of a property that have been recorded using different units—for instance, centimetres to inches.
Why are units important when measuring quantities?Units are important when measuring quantities because units allow people to communicate amounts uniformly in a way that can be understood by others.
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Pleeeease help! I'll give brainliest if possible!! :)))
Use the scenario to answer the question.
An astronomer discovers a new galaxy using a telescope. The astronomer wants to investigate how the galaxy is moving relative to the Milky Way galaxy.
In one or two sentences, make a hypothesis about the movement of the galaxy and explain at least one way to test the hypothesis.
The most scientific guess (hypothesis) based on what is known about the behavior of galaxies is that Galaxies are continuously moving away from each other. This hypothesis can be tested using Hubble's Law.
What does Hubble's Law Say?Hubble's law indicates that almost all galaxies are moving apart from one another because the universe as a whole is expanding. Choose any two galaxies at arbitrarily, and they're most likely traveling apart from each other.
Hubble discovered that galaxies move away from us at a rate proportionate to their distance: more distant galaxies move away faster than closer ones. The accompanying graphic shows Hubble's classic graph of measured velocity vs. distance for neighboring galaxies.
The graph shows a linear relationship between galaxy velocity (v) and distance (d).
The equation for the above linear relationship is:
v = H₀ x d
Where:
H₀ is the expansion rate
v = velocity of the galaxy; and
d = distance.
Using the above formula, the astronomer can measure or test to know whether indeed the new galaxy is moving relative to the Milky Way galaxy and at what rate.
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A tunnel has a length of 50 km. A car takes 20 min to travel between the two ends of the tunnel. What is the average speed of the car
Answer:
150 km/h
Explanation:
50km/20min = x km/60 min
An eccentric electrician has wired n lights, all initially on, so that: 1) light k cannot be turned on/off unless light k–1 is on and all preceding lights are off for k > 1, 2) light 1 can always be turned on/off. A) Solve the problem for n = 5. How many moves to turn all the lights off? b) How moves are required to turn all n lights off for any n? Give a recurrence relation
a) For n=5, it takes 9 moves to turn all the lights off.
b) For any n, the number of moves required to turn off all initial value s is n + \(2^(n-1) - 2\). The recurrence relation is: \(f(n) = f(n-1) + 2^(n-1)\) with initial value f(1) = 1.
a) For n = 5, we can represent the lights as follows:
1 - on
2 - on
3 - on
4 - on
5 - on
To turn off the fifth light, we need to turn off lights 2, 3, 4, and 5, in that order. This takes 4 moves.
1 - on
2 - off
3 - off
4 - off
5 - off
Now, to turn off the fourth light, we need to turn off lights 2 and 4, in that order. This takes 2 more moves.
1 - on
2 - off
3 - off
4 - off
5 - off
Next, we turn off the third light, requiring only one move:
1 - on
2 - off
3 - off
4 - off
5 - off
Then we turn off the second light, again requiring only one move:
1 - on
2 - off
3 - off
4 - off
5 - off
Finally, we turn off the first light, which can be done in one move:
1 - off
2 - off
3 - off
4 - off
5 - off
Thus, it takes a total of 4 + 2 + 1 + 1 + 1 = 9 moves to turn off all 5 lights.
b) Let M(n) be the number of moves required to turn off n lights. To turn off the last light, we need to turn off all the preceding lights, so we first need to turn off the (n-1)th light. This requires M(n-1) moves.
Then, we need to turn off the (n-2)nd light, which requires M(n-2) moves, and so on, until we turn off the first light, which requires 1 move. Therefore, we can write the recurrence relation:
M(n) = M(n-1) + M(n-2) + ... + M(2) + M(1) + 1
with the initial condition M(1) = 1.
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what is the most common injury related to electrical hazards?
The most common injury related to electrical hazards are Electrical burns.
What are electrical hazards?
The term "electrical hazard" refers to a major workplace risk that puts employees in danger of suffering burns, electrocution, shock, arc flash or arc blast, fire, or explosions.Electrical shock and burns are risks when contacting energized sources.The body enters the electric circuit, resulting in an electrical shock (when an individual comes in contact with both wires of an electrical circuit, one wire of an energized circuit and the ground, or a metallic part has been energized by contact with an electrical conductor).An electrical burn is a type of skin burn that develops when your body comes into contact with electricity. It is possible for electricity to pass through your body when it comes into contact with it. When this occurs, the voltage has the potential to harm tissues and organs.
Hence, The most common injury related to electrical hazards are Electrical burns.
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A wave has a frequency of 6 Hz, how long is the period?
A 6
B 12
C .17
D 36
Answer:
C.
Explanation:
An airplane needs to reach a forward velocity of 203 km/h to take off. On a 2000m runway, what is the minimum uniform acceleration necessary for the plane to take flight if it starts from rest?
Answer:
Minimum uniform acceleration in Km/hr² is 20,505.05 km/hr²
Explanation:
In other to determine the acceleration, we can use the formula below
acceleration = velocity/time
Time wasn't given in the question, hence we calculate for time using the parameters given and the formula below
Velocity= distance/time
time = distance/velocity
distance = 2000m ⇔ 2km
time = 2/203
time = 0.0099
Hence, we look for acceleration
which is
acceleration = 203/0.0099
= 20,505.05 km/hr² ⇔ 2.0 × 10⁴
Perform the following mathematical operation and report answer to the correct number of significant figures 143.6 divided by 21.2
The answer to the correct number of significant figures is 6.774.
What is quotient?When a number(big) divided smaller number, the answer obtained greater than zero is called a quotient.
Divide 143.6 ÷ 21.2
143.6/21.2 = 1436/212
=6.77358
The quotient is rounded to three significant figures after decimal
143.6 ÷ 21.2 = 6.774
Thus, the answer to the correct number of significant figures is 6.774
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At the very back of the auditorium is the __________________________________. this is where the sound technicians run all the sound effects and sound reinforcement during a show.
a. dj booth
b. cont
At the very back of the auditorium is the A. DJ Booth is where the sound technicians run all the sound effects and sound reinforcement during a show.
The time period is taken from Latin (from audītōrium, from audītōrius ("pertaining to hearing")); the concept is taken from the Greek auditorium, which had a series of semi-round seating cabinets within the theatre, divided via wide 'belts', called diazomata, with 11 rows of seats among each.
An instance of an auditorium is the huge room in which mother and father may additionally accumulate to watch their child's musical overall performance at school. A massive building for public conferences or performances. A room for the gathering of a target audience, as in a faculty, library, etc.
A big room with rows of seats and regularly a stage that is used for performances and for public occasions or conferences, or a building containing this type of room: a school/municipal auditorium.
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NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, in terms of time is given by h=−4.9t 2
+286t+311 How high is the rocket after 7 seconds? meters How high was the rocket when it was initially launched? meters Question Help: □ Message instructor
The rocket's height when it was initially launched is 311 meters above sea level.
The rocket's height, in meters above sea level, is described by the equation h = -4.9t^2 + 286t + 311. To determine the rocket's height after 7 seconds, we substitute t = 7 into the equation and solve for h. Additionally, to find the height when the rocket was initially launched, we substitute t = 0 into the equation and calculate h.
To find the rocket's height after 7 seconds, we substitute t = 7 into the equation h = -4.9t^2 + 286t + 311:
h = -4.9(7)^2 + 286(7) + 311
h = -4.9(49) + 2002 + 311
h = -240.1 + 2002 + 311
h = 2072.9 meters
Therefore, the rocket's height after 7 seconds is 2072.9 meters above sea level.
To determine the height when the rocket was initially launched, we substitute t = 0 into the equation:
h = -4.9(0)^2 + 286(0) + 311
h = 0 + 0 + 311
h = 311 meters
Hence, the rocket's height when it was initially launched is 311 meters above sea level.
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An important underlying feature of hydraulic devices is the conservation of A) pressure.
B) energy
C) momentum.
D) all of the above
E) none of the above
B) energy. An important underlying feature of hydraulic devices is the conservation of energy.
This is achieved through the transfer of energy from one point to another using a pressurized fluid, usually oil or water. The fluid is used to transmit force, and the conservation of energy ensures that the force applied at one end of the system is transferred to the other end without any loss of energy. This makes hydraulic devices highly efficient and effective for a wide range of applications, from construction machinery to aerospace engineering. Liquid fluid power is used by hydraulic machines to do operations. Heavy-duty construction vehicles are a typical illustration. Hydraulic fluid is pumped to numerous hydraulic motors and hydraulic cylinders located all around the machine in this type of machine and is pressurised in accordance with the resistance present.
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Please help! Do I color the lines or the shapes? Which ones do I color blue, red, or green?
Hello! :3
I'm pretty sure you should be coloring the lines. The green line should be convergent, the blue line should be transformed, and the red line should be divergent.
Hope this helps! I'm not 100% sure! :)))))