A graduated plank of length 90cm sits on a knife edge at 40cm mark. When a load of 50g is placed at 20cm, find the mass that will balance the plank at 70cm length.

Answers

Answer 1

Answer:

33.3 g ≈ 33 g

Explanation:

Please see attached photo for explanation.

From the attached photo, M is the mass that we must obtain to balance the plank.

The mass, M can be obtained as follow:

Anticlockwise moment = clockwise moment

Anticlockwise moment = 50 x 20

Clockwise moment = M x 30

Anticlockwise moment = clockwise moment

50 x 20 = M x 30

Divide both side by 30

M = (50 x 20)/30

M = 33.3 g ≈ 33 g

Therefore, the mass that will balanced the plank at the 70 cm length is appropriately 33 g

A Graduated Plank Of Length 90cm Sits On A Knife Edge At 40cm Mark. When A Load Of 50g Is Placed At 20cm,

Related Questions

Write a report on the lap experiment: Motion with Constant Acceleration

Answers

Answer:

Purpose: To observe how an object’s position and velocity change while it is moving with a constant acceleration.

Question: How does an object’s position and velocity change as the object accelerates?

Hypothesis: If the fan speed increases, then the acceleration of the cart increases, because a greater fan speed supplies more energy to move the cart.

Variables:

• Independent variable: fan speed

• Dependent variable: acceleration of the cart

• Controlled variables: mass

Materials:

• Cart with Fan (1 kg)

• CM ruler (1 cm)

• Stop watch (0.0 cm pe sec)

• Flag

Procedure:

1. Use the setup on “Force and Fan Carts” Gizmo.

2. First, put the fan speed on low and no friction surface.

3. Press the start button and record the final time when the cart crosses the finished line. Record on table B.

4. Then, click on the data tab to record the speed data, total distance, average velocity, and acceleration. Record on table A and B.

5. After, observe the position vs. time graph with the speed and line graph toggled. Record on table C.

6. Repeat steps 2-5 on fan speed on medium and high with no friction surface.

7. Next, reset and put fan speed on low.

8. Press start and pause on 4 seconds.

9. On the same trial turn off the fan speed and hit start again.

10. Observe the graph and write observations on table D.

Analysis and Conclusion:

In conclusion, my hypothesis matches the data, because the data shows that increasing the fan speed increases the acceleration of the cart. The trends for all fan speeds are linear slope for speed. The higher the fan speed, the less time it took for the cart to cross the finish line.

Data:

Explanation:

Sorry can’t copy and paste results

Answer:

for that pervious answer why cant we copy and paste?

Explanation:

At summer camp, the swimming course runs the length (L) of a small lake. To determine the length of the course, the camp counselors measure the two "dry" legs of a right triangle. What is the length in meters of the swimming course in the figure below?

Answers

Answer:

47 m

Explanation:

Data obtained from the question include the following:

Length of dry leg 1 (L1) = 40 m

Length of dry leg 2 (L2) = 25 m

Length of swimming course (L) =..?

The length of the swimming course can be obtained by using pythagoras theory as shown below:

L² = L1² + L2²

L² = 40² + 25²

L² = 1600 + 625

L² = 2225

Take the square root of both side.

L = √2225

L = 47.1 ≈ 47 m

Therefore, the length of the swimming course is approximately 47 m.

Changes in which property are heard when the Doppler effect occurs? pitch amplitude volume wavelength

Answers

Changes in pitch are heard when the Doppler effect occurs.

What is the Doppler effect?

The Doppler effect, also known as the Doppler shift, is a term used to explain changes in frequency caused by moving sources of sound or light with regard to an observer.

The Doppler effect is the apparent change in frequency or wavelength of a wave that is perceived by an observer when the source of the wave or the observer is moving relative to each other.

In the case of sound waves, if the source of the sound is moving towards the observer, the frequency of the sound waves is perceived to be higher, resulting in a higher-pitched sound.

Conversely, if the source of the sound is moving away from the observer, the frequency of the sound waves is perceived to be lower, resulting in a lower-pitched sound.

This effect can be observed in many everyday situations, such as the changing pitch of a siren as an ambulance or police car passes by.

Learn more about doppler's effect here:

https://brainly.com/question/15318474

#SPJ6

Answer:

option A) pitch

Explanation:

2023 :)

PLZ ANSWER ASAP, I WILL MARK AS BRAINLIEST

Answers

Answer:

electric potential energy=

[tex]\frac{KQq}{r} [/tex]

so the electric potential energy and distance(r) are inversely proportional.

then, the greatest energy occur in the smallest distance b/n the two balloon.

Answer:

Top Left

Explanation:

The two balloons would create enough friction and energy to separate from each other as two balls of air would push each other from their energy

A boy on a chairlift moving parallel to the mountain slope at a speed of +15 m/s watches a skier going straight down the mountain with a speed of -35 m/s. What is the velocity of the skier relative to the chairlift? A. -50 m/s B. -35 m/s C. -20 m/s D. +15 m/s E. +50 m/s

Answers

Answer:

A. -50 m/s

Explanation:

Given

Velocity of Chairlift = +15m/s

Velocity of Skier = -35m/s

Required

Determine the velocity of the skier relative to the chairlift

Basically, relative velocity is the difference between the two velocities;

Having said that;

Relative velocity of the skier relative to the chairlift = Velocity of the Skier - Velocity of the Chairlift

Relative velocity of the skier relative to the chairlift = -35m/s - (+15m/s)

Open bracket

Relative velocity of the skier relative to the chairlift = -35m/s - 15m/s

Relative velocity of the skier relative to the chairlift = -50

Help me please, ;) I could use it

Answers

Answer:

The solution(s) are in order with respect to the attachments

[tex]2.613\:\cdot10^5[/tex] Joules ; 5. Adding the same amount of heat to two different objects will produce the same increase in temperature ; 2. Same speed in both ; 2. A

Explanation:

Diagram 1 ( Liquid Nitrogen ) : So as you can see, we want our units in Joules here, and can therefore multiply the mass of gaseous nitrogen and the latent heat of liquid nitrogen, to cancel the units kg, and receive our solution - in terms of Joules. Let's do it.

q ( energy removed ) = mass of nitrogen [tex]*[/tex] latent heat of liquid nitrogen,

q = 1.3 kg [tex]*[/tex] 2.01 [tex]*[/tex] 10⁵ J / kg = [tex]1.3\:\cdot \:2.01\:\cdot \:\:10^5[/tex] = [tex]10^5\cdot \:2.613[/tex] = [tex]100000\cdot \:2.613[/tex] = [tex]261300[/tex] Joules = [tex]261.3[/tex] kiloJoules = 2.613 [tex]*[/tex] 10⁵Joules is the energy that must be removed

Diagram 2 : The same amount of heat does not necessarily mean the same increase in temperature for two different objects. The increase in temperature depends on the specific heat capacity of the substance. Therefore your solution is 5 ) Adding the same amount of heat to two different objects will produce the same increase in temperature.

Diagram 3 : The temperatures in both glasses are the same, and hence the molecules have the same average speed. Therefore your solution is 2 ) Same speed in both.

Diagram 4 : Glass A has more water molecules, and hence has more thermal energy. Your solution is 2 ) A.

The answer to your questions is A

You are in a desert on a hot day and see water in the distance. It is not really there, you see it because light bends due to a difference in the temperature of air. Which behavior of light best explains this? Select one: a. reflection b. translocation c. diffraction d. refraction

Answers

Answer:

d) refraction

Explanation:

in physics, refraction is the change of direction of a wave passing from one medium to another. refraction of light is the most commonly observed phenomenon but other waves such as sound waves and water waves also experience refraction

Answer:

B. Translocation

Explanation:

It means a change in location. It often refers to genetics, when part of a chromosome is transferred to another chromosome, you want a change in location because you are so thirsty in the desert and need water

Nia has $19.50 to ride the subway around New York. It will cost her $0.75 every time she rides. Identify the dependent variable and independent variable in this scenario.
A The number of rides and the total cost are both independent variables.
B The number of rides and the total cost are both dependent variables.
C The number of rides is the independent variable, and the total cost is the dependent variable.
D The total cost is the independent variable, and the number of rides is the dependent variable.

Answers

Answer:

C The number of rides is the independent variable, and the total cost is the dependent variable.

Explanation:

The total cost is the dependent variable, because it depends on the number of rides.  The number of rides is the independent variable; it is the variable that Nia controls.

The answer would be C

Label the parts of the brain. medulla oblongata thalamus cerebrum cerebellum brain stem pons hypothalamus midbrain

Answers

Answer:

Medulla oblongata is lower part of brain.

Cerebrum and cerebellum are the upper hemispheres of the brain.

Explanation:

Cerebrum is the largest part of the brain and is composed of right and left hemispheres.

Cerebellum is the part of brain that lies inside the cerebellum.

Medulla Oblongata is lowest part of brain stem which is most vital part of the brain.

Thalamus is a small region of the brain located above the brain stem. Its main function is to transmit sensory signals to cerebral cortex.

Brain stem act as relay center connecting the cerebrum and cerebellum to the spinal chord.

Hypothalamus is the mid brain located near the pituitary glands. It is very small region of the brain but it plays an important role in maintaining the body temperature and releasing the hormones.

Answer:

Medulla oblongata: The bottom part of the brainstem helps regulate your breathing, heart rhythms, blood pressure and swallowing.

Explanation:

Help me please, I need it

Answers

Answer:

3000 m/s

Explanation:

The kinetic energy is:

KE = 3/2 kT

where k is Boltzmann constant and T is absolute temperature.

Kinetic energy is also:

KE = 1/2 mv²

where m is the mass and v is the speed.

1/2 mv² = 3/2 kT

mv² = 3kT

v = √(3kT / m)

v = √(3 × 1.38×10⁻²³ J/K × (273 + 27) K / 1.38×10⁻²⁷ kg)

v = 3000 m/s

3000 m/s is your answer

Plz help me with question 3

Answers

Answer:

C. 110 - 140

Explanation:

Answer:

i think the best answer is c

Help me pls I'm struggling

Answers

Answer:

2. The temperature doubles.

014) 48.6 J

015) 13,700 J

016) 5.94×10⁻²¹ J

Explanation:

PV = nRT

P and n are constant.

nR/P = k

V/T = k

If the volume doubles, the temperature also doubles.

014) The kinetic energy per atom is:

KE = 3/2 kT

KE = 3/2 (1.38×10⁻²³ J/K) (21 + 273) K

KE = 6.09×10⁻²¹ J

The total kinetic energy is:

KE = (6.09×10⁻²¹ J) (7.99×10²¹)

KE = 48.6 J

016) The kinetic energy per atom is:

KE = 3/2 kT

KE = 3/2 (1.38×10⁻²³ J/K) (14 + 273) K

KE = 5.94×10⁻²¹ J

015) The total kinetic energy is:

KE = (5.94×10⁻²¹ J) (3.82 mol) (6.02×10²³ atom/mol)

KE = 13,700 J

When do we use v=2s/t and what does that equation mean?

Answers

Answer:

This can be used to find out the speed of the returned journey. The equation means speed = returned distance ÷ time.

Explanation:

If the angle of incidence of a light source to a shiny surface is 30 degrees, what will the angle
of reflection be?
150 degrees
90 degrees
60 degrees
30 degrees​

Answers

Answer: D) 30

Angle of incidence always equals angle of reflection. Think of a tennis ball being hit into a wall. The ball will bounce off at the same angle that it approached with. The angles mentioned are formed through the line called the "normal", which is the line perpendicular to the surface.

Answer : 30 degrees
*** HOPE THIS HELP YOU***

Plz Help me with this

Answers

Answer:

Cools ; size

Explanation:

The rate at which magma cools determines the size of the crystals in the new rock. Igneous rocks are formed from the cooling and solidification of molten magma which finds its way to the surface or depth of very low pressure beneath the surface. This place or depth of cooling of magma affects the cooling rate and hence the size of the crystals formed. Igneous rocks formed at depths below the surface have more time to cool and allows more time for Crystal growth and hence produce coarse grained crystal grains called Intrusive igneous rocks which have significantly larger crystals than those formed on the surface which cools rapidly and allowing very little time for crystal growth giving rise to the formation of fine grained crystals and are called extrusive igneous rocks.

conditions of equilibrium of parallel coplanar forces


Answers

Answer:

Bruh............

Explanation:

Levi observed properties of four different waves and recorded observations about each one in his chart. A 2-column table with 4 rows. The first column labeled Wave has entries W, X, Y, Z. The second column labeled Observations has entries travels fastest through metal, travels fastest through air, travels more slowly through water than air, travels more slowly at cool temperatures. Which statement is best supported by the table? Wave W and Y are light waves, Wave Z is a sound waves, and it is impossible to tell what kind of wave Wave X is. Wave W is a light wave, Waves X and Y are sound waves, and it is impossible to tell what kind of wave Wave Z is. Waves W and Z are sound waves, and Waves X and Y are light waves. Wave W is a sound wave, Waves X and Y are light waves, and it is impossible to tell what kind of wave Wave Z is.

Answers

Answer:

Wave W is a sound wave, Waves X and Y are light waves, and it is impossible to tell what kind of wave Wave Z is.

Explanation:

W      travels fastest through metal

X       travels fastest through air,

Y       travels more slowly through water than air    

Z       travels more slowly at cool temperatures

W appears to be sound wave  as sound travels fastest through metal .

X appears to be light wave as light travels fastest in air .

Y also appears to be light wave as  speed of light is reduced when it passes from air to water .

Z  It is impossible to tell anything about the nature of Z wave .

Answer:

d

Explanation:

help pls 30 points need help

Answers

Answer:

C

Explanation:

Answer:

I believe the answer is C.

Explanation:

Five equal negative charges are uniformly spaced in a semicircular
arc of radius ro with its center at the origin. The charges positions in
polar coordinates are given by (o. 6.), where the values of 0 are 0°,
45°, 90°. 135º. and 180°. At the position (x, y) = (ro, -ro) in the 4th
quadrant, which statement best describes the direction of the
resulting electric field?
The direction is that of a 3rd quadrant angle.
The direction is that of a 2nd quadrant angle.
The direction is that of a 1st quadrant angle.
The direction is that of a 4th quadrant angle.​

Answers

Answer:

The direction is that of a 3rd quadrant angle

Explanation:

when you have 2 45 angles it equals to 90 then with the 90 we multiply by 2 due to the 2 adjacent angles equating to 180 which swings it to the 3rd quadrant angle

What is the missing number in the nuclear reaction shown below?
+
233
92
4
2
He +
?
90
Th
Answer here
SUBMIT

Answers

Answer:

[tex]\boxed{299}[/tex]

Explanation:

In this reaction, Sum of Atomic Masses of Left side = Sum of Atomic Masses of right side

Let the atomic mass of Thorium be x

So,

233 = 4 + x

Subtracting 4 to both sides

x = 233-4

x = 229

Which of the following is an accurate statement? A. Step-up voltage transformers have fewer turns in the primary that in the secondary winding. B. aC generators produce current that's pulsating but always remains positive C. Step-down voltage transformers have a different number of turns in the primary than in the secondary winding, so they change the incoming collage to a higher voltage D. DC generators produce current with a voltage that changes from positive to negative

Answers

Answer:

Option A is an accurate one.

Explanation:

A transformer being considered as a step-up transformer during which the performance (supplementary) voltage becomes stronger than that of the input (main) impedance of it. This kind of transformer reduces the electrical output to constantly keep the product input as well as power consumption equivalent.

The other provided alternative is not related to the information provided there. So the response to the above seems to be the correct one.

1. If an object that stands 3 centimeters high is placed 12 centimeters in front of a plane
mirror, how far from the mirror is the image located? Explain your reasoning.

2. An object with a height of 0.3 meter is placed at a distance of 0.4 meter from a concave
spherical mirror. An image with a height of 0.1 meter is formed in front of the mirror.
How far from the mirror is the image located?

3. When an object with a height of 0.10 meter is placed at a distance of 0.20 meter from a
convex spherical mirror, the image will appear to be 0.06 meter behind the mirror.
What's the height of the image?

4. Compare and contrast the properties of the images formed by each mirror type in the
table.

Answers

Answer:

1. 12 cm

2. 0.133 m

3. 0.03 m

4. Plane mirror

Virtual image

Upright

Behind the mirror

The same size as the object

Concave mirror when the object is located a distance greater than the focal length from the mirror's surface

Real image

Inverted image

In front of the the mirror

Diminished when the object is beyond the center of curvature

Same size as object when the object is placed at the center of curvature

Enlarged when the object is placed between the center of curvature of the mirror and the focus of the mirror

Concave mirror when the object is located a distance less than the focal length from the mirror's surface

Virtual image

Upright image

Behind the the mirror

Enlarged

Convex mirror

Type = Virtual image

Appearance = Upright image

Placement = Behind the mirror

Size = Smaller than the object

Explanation:

1. For plane mirror, since there is no magnification, the virtual image distance from the mirror = object distance from the mirror = 12 cm behind the mirror

2. The height of the object = 0.3 m

The distance of the object from the mirror = 0.4 meters

Height of image formed = 0.1 meter

We have;

[tex]Magnification, \ m = \dfrac{Image \ height }{Object \ height } = \dfrac{Image \ distance \ from \ mirror }{Object\ distance \ from \ mirror }[/tex]

[tex]m = \dfrac{0.1}{0.3 } = \dfrac{Image \ distance \ from \ mirror }{0.4 }[/tex]

Image distance from the mirror = 0.1/0.3×0.4 = 2/15 = 0.133 m

Image distance from the mirror = 0.133 m

3. [tex]m = \dfrac{Image \ height}{0.10 } = \dfrac{0.06 }{0.20 }[/tex]

The image height = 0.06/0.2×0.1 = 3/100 = 0.03 meter

The image height = 0.03 meter

4. Plane mirror

Type = Virtual image

Appearance = Upright image with the left transformed to right

Placement = Behind the mirror

Size = The same size as the object

Concave mirror when the object is located a distance greater than the focal length from the mirror's surface

Type = Real image

Appearance = Inverted image

Placement = In front of the the mirror

Size = Diminished when the object is beyond the center of curvature

Same size as object when the object is placed at the center of curvature

Enlarged when the object is placed between the center of curvature of the mirror and the focus of the mirror

Concave mirror when the object is located a distance less than the focal length from the mirror's surface

Type = Virtual image

Appearance = Upright image

Placement = Behind the the mirror

Size = Enlarged

Convex mirror

Type = Virtual image

Appearance = Upright image

Placement = Behind the mirror

Size = Smaller than the object.

Answer:

1. The mirror is 12 centimeters away from the image. This is a plane mirror with a flat reflecting surface. The distance between the object and the mirror surface is equal to the distance between the mirror surface and the image.

2. hiho=siso

0.1 m0.3 m=si0.4 m

Multiply each side of this equation by 0.4.

0.4×(0.10.3=si0.4)×0.4

si=0.40.3

si = 0.133 m  

3. hiho=siso

hi0.10 m=0.06 m0.02 m

Multiply each side of this equation by 0.10.

0.10×(hi0.10=0.060.20)×0.10

hi=0.0060.20

hi = 0.03 m

4.

 Image Formation

Mirror  Type  Appearance  Placement  Size  

Plane  Virtual Erect (Upright); Appears to have left and right reversed  Behind the mirror; the distance between the mirror and the image is equal to the distance between the mirror and the object  Depends on the size of the mirror and placement of the object  

Concave (when the object is located a distance greater than a focal length from mirror's surface)  Real  Inverted  In front of the mirror Smaller than the object  

Concave (when object is located a distance less than the focal length of the mirror) Virtual  Erect (Upright)  Behind the mirror Enlarged  

Convex Virtual  Erect (Upright)  Behind the mirror  Smaller than the object  

Explanation:

PENN

Distinguish between resultant and equilibrant forces


Answers

Answer:

resultant is a single force that can replace the of a number of forces , equililbrant is a force that is exactly opposite to resultant

Explanation:

A study finds that there is a positive correlation between height and math test scores. The researcher concludes that taller people are better at math. However, another researcher points out that height is also correlated with age, and age is correlated with greater knowledge of math. What issue does this example represent?

Answers

Answer:

Spurious relationship

Explanation:

In statistics a spurious relationship is a correlated mathematical  relationship of covariation between two variables or more which by themselves have no cause and effect relationship as a result of a coincidence or the existence of a third or confounding factor

The variables have covariation due to their correlation but they don't have a cause and effect relationship

An example of a spurious relationship is the increase in ice cream sales when there is an observed increase in the rate of drowning.

Help me please, please !

Answers

Answer:

b and d

a, c, e, and f

Explanation:

Ideal gas law:

PV = nRT

Solving for temperature:

T = PV / (nR)

Therefore, temperature is directly proportional to pressure and volume, and inversely proportional to the number of molecules.

T = k PV / N

Let's say that T₀ is the temperature when P = 100 kPa, V = 4 L, and N = 6×10²³.

a) T = k PV / N = T₀

b) T = k (2P) V / N = 2T₀

c) T = k (P/2) (2V) / N = T₀

d) T = k PV / (N/2) = 2T₀

e) T = k P (V/2) / (N/2) = T₀

f) T = k (P/2) V / (N/2) = T₀

b and d have the highest temperature,

a, c, e, and f have the lowest temperature.

B and d have highest temp and a c e and f have lowest

What will be the pressure exerted by the object if 5000N of the force is acting on an area of 200 cm square

Answers

It would be 26 hope this helps.

a ball is projected with a certain angle with initial velocity u. it covers horizontal range R. With what initial velocity it must be projected keeping the angle of projection same so its horizontal range becomes 2.25R

Answers

Answer:

1.5 u

Explanation:

The range equation is:

R = u² sin(2θ) / g

When u = v, R = 2.25 R.

2.25 R = v² sin(2θ) / g

2.25 u² sin(2θ) / g = v² sin(2θ) / g

2.25 u² = v²

1.5 u = v

Help me please, it's so hard

Answers

Answer:

4.58×10²³ atoms

5.94×10⁻²¹ J

1340 m/s

Explanation:

Use ideal gas law to find moles of gas.

PV = nRT

(1.266 atm × 101300 Pa/atm) (4/3 π (0.15 m)³) = n (8.31451 J/mol/K) (14 + 273) K

n = 0.760 mol

Use Avogadro's number to find number of atoms.

(0.760 mol) (6.02214×10²³ atom/mol) = 4.58×10²³ atoms

Average kinetic energy per molecule is:

KE = 3/2 kT

KE = 3/2 (1.38066×10⁻²³ J/K) (14 + 273) K

KE = 5.94×10⁻²¹ J

RMS speed of each atom is:

KE = 1/2 mv²

5.94×10⁻²¹ J/atom = 1/2 (0.004 kg/mol) (1 mol / 6.02214×10²³ atom) v²

v = 1340 m/s

A -0.00125 C charge is placed 3.62 m from a +0.00333 C charge. What is the magnitude of the electric force between them?
Remember, magnitudes are positive.
[?] N

Answers

Answer: 2858.7726N

Explanation:

Given that :

Charge 1 (q1) = -0.00125 C

Charge 2 (q2) = +0.00333 C

Distance (r) = 3.62 m

According to columb's Law: The magnitude of the force between any two charged objects :

Fe = (Kq1q2) / r^2

Coloumb's constant(k) = 9×10^9 Nm^2/C^2

Fe = (9×10^9 * 0.00125 * 0.00333) / 3.62^2

Fe = (0.0000374625 * 10^9) / 13.1044

Fe = 37462.5 / 13.1044

Fe = 2858.7726N

Answer:

2858.7726 N

Explanation:

acellus

* explain in your own words the phrase ,
'' a cell has a voltage of 1.5V''

plz help!!
Will give the brainliest!
plz answer correctly.​

Answers

First of all, what is a cell?

A cell is a power source. It converts chemical energy into electrical energy which then allows a current to flow.

Then, what is a voltage?

A voltage is an electrical force required to push an electric current.

The answer to your question

The powers source requires a voltage of 1.5 to push the electrical current around the circuit

Other Questions
Which equation is graphed in the figure? A. 7y = 5x + 14 B. 7y = -5x + 14 C. 5y = -7x + 10 D. 5y = 7x + 10 Which of the following best describes the electrolytes that are dissolved in blood? What can you do to help a friend who has experienced relationship abuse? HELP PLSA wine store conducted a study. It showed that a customer does not tend to buy more or fewer bottles when more samples are offered. What can we conclude?>There is no correlation between number of bottles bought and number of samples offered.>There is a correlation between number of bottles bought and number of samples offered. However, there is no causation. This is because there is probably an increase in the number of bottles bought with an increase in the number of samples offered.>There is a correlation between number of bottles bought and number of samples offered. There may or may not be causation. Further studies would have to be done to determine this. The linear combination method is applied to a system of equations as shown. 4(.25x + .5y = 3.75) x + 2y = 15 (4x 8y = 12) x 2y = 3 2x = 18 By looking at the plots, Beth says that the two means are about 5 years apart. Which is true about Beth's statement?She is correct because the medians are 10 years apart,which means the means are half of that, or 5 yearsapartO She is correct because the maximum ages of thepennies in each set are 5 years apart.O She is not correct because the means are both equal to026 8 10 12 14 16 18 20 22 24 26 28 30 32 34 3612O She may not be correct because means cannot bedetermined from the box plots. Write the slip-intercept form of the equation of the line described- through: (4,1), parallel to y = 5/6x - 3 - through: (3,3), perp. to y= -3/8x + 2 What is the center of the circle with the equation (x+4)^2 + (y - 2)^2 = 16? a (-4, -2) b (4,2) c (-4, 2) d (4, -2) Draw a curve that shows the relationship between the tax rate and the amount of tax revenue collected. The relationship between the tax rate and the amount of tax revenue collected is called the ______ curve. This curve shows that ______. In a large university, 20% of the students are business majors. A random sample of 100 students is selected, and their majors are recorded. a) Compute the standard error of the proportion. b) What is the probability that the sample contains at least 12 business majors Two uncharged metal spheres, #1 and #2, are mounted on insulating support rods. A third metal sphere, carrying a positive charge, is then placed near #2. Now a copper wire is momentarily connected between #1 and #2 and then removed. Finally, sphere #3 is removed. In this final state a) spheres #1 and #2 are still uncharged. b) sphere #1 carries negative charge and #2 carries positive charge. c) spheres #1 and #2 both carry positive charge. d) spheres #1 and #2 both carry negative charge. e) sphere #1 carries positive charge and #2 carries negative charge Two forces act at a point in the plane. The angle between the two forces is given. Find the magnitude of the resultant force. forces of 232 and 194 newtons, forming an angle of 67 16. Jessica was given the area and the length of the base of a triangle. A = 17.5 units, b = 5 units. She solved the formula for area for h to find the height of the triangle. Determine if Jessica solved the equation correctly and found the correct answer. If not, describe what mistake she made and solve the formula for h correctly and justify your steps. A = 1/2bh1/2A b = h1/2 (17.5)(5) = h43.75 = hThe height of the triangle is 43.75 units. Which enzyme would be needed first to convert most plant biomass to ethanol? A. Protease B. Amylase C. Cellulase D. Lipase Please summarize the following... On July 13th, a federal judge permanently blocked Georgias recent heartbeat law from going into effect. The law would have prohibited abortion, barring certain specific exceptions, after a heartbeat is detectable in the pre-born child, usually at around 6 weeks after conception. Unfortunately, a recent federal ruling declares that Georgias heartbeat law violates the 14th amendment and is unconstitutional. I was with Governor Brian Kemp at the signing of the bill. Heres what the cultural conversation about heartbeat bills gets wrong.Georgias law faced an uphill cultural battle from the moment it was first proposed. Pro-abortion advocates and activists argue that heartbeat bills like Georgias are unnecessarily restrictive on women seeking an abortion. They argue that most women dont know that they are pregnant until well after a heartbeat is detectable in the pre-born. As a result, they say that heartbeat bills effectively work just like abortion bans, preventing women from getting any abortions at all.But we need to be very clear about one thing here. Heartbeat laws arent primarily about restricting women; they are first and foremost about putting the inherent human dignity of the unborn into law. That means heartbeat laws are about recognizing and protecting the rights of the unborn. Every human being possesses the right to life, whether born or unborn. We have a moral imperative to protect, cherish, and nurture human life at every stage. Heartbeat laws take that moral imperative and put it into law. Thats exactly what we all want our laws to do. We all want law to express and defend the moral truths of human equality, dignity, value. Its disappointing to me how often and how quickly laws crafted to protect the value of unborn life are rephrased and debated as laws about restricting or attacking women. If anything, it would be much more honest to say that the decision to block Georgias heartbeat law is an attack on the pre-born because it prevents legal protections from going into effect that would ensure America is a country where the truths of human equality and dignity apply not just to children and adults, but to the pre-born too.Neither are heartbeat laws just a partisan play by Republicans or a prerogative of white evangelicals. Being pro-life simply shouldnt be a partisan issue. When I was working on getting Georgias law passed, I heard from and worked alongside both Republicans and Democrats. Its an unfortunate fact that the official party platform for the Democrat party no longer has a place for pro-life Democrats, but that doesnt mean they dont exist. According to the last national Gallup Poll on abortion (2019), nearly 30% of Democratic voters, and 44% of Independent voters identify as pro-life. And we all too often forget that the pro-life movement is incredibly diverse and is filled with Black voices. I am one of them.But are heartbeat laws really unconstitutional, as Judge Steven Jones ruled in Georgias case? Pro-abortion advocates act like the constitutional case against heartbeat bills is cut and dry, but it really isnt. The Roe v. Wade decision is anything but clear and compelling in its argument pinning legal personhood, with all its attendant rights and protections, on fetal viability in the third trimester. What heartbeat bills recognize is the established medical fact that only about 4% of pregnancies end in miscarriage after a heartbeat is detected. It is completely reasonable to consider a fetal heartbeat as a sign that a healthy, viable new life is coming to be in a mothers womb. The Constitution exists precisely to codify and protect the rights of such human life, and heartbeat laws simply extend those protections to the unborn who are living inside the womb.For now, the federal court has made its ruling. But Governor Kemp has stated he intends to file for an appeal, and we will likely hear more debate about Georgias heartbeat bill in the months to come. When we do, I hope well get the debate right this time by putting the focus on human dignity and the rights of unborn, rather than partisan political issues and disingenuous narratives.Rev. Dean Nelson is the executive director of Human Coalition Action. Samantha is a marketing manager and researcher at a beverage company. Her company plans to launch a new health drink in the market to target athletes. Samantha has assembled a group of 60 local athletes and has given them a topic related to their interests. As the group discusses the topic, Samantha is taking notes. What type of primary research is Samantha using to collect market research data? A. personal interviews B. focus groups C. behavior observation D. mail survey Match each disease with the body system it affects. please hellppp ...... Listed below are year-end account balances (in $millions) taken from the records of Symphony Stores. Debit Credit Accounts receivable-trade 694 Building and equipment 924 Cash-checking 38 Interest receivable 40 Inventory 21 Land 166 Notes receivable (long-term) 496 Petty cash fund 8 Prepaid rent 35 Supplies 12 Trademark 45 Accounts payable-trade 642 Accumulated depreciation 77 Additional paid-in capital 468 Allowance for uncollectible accounts 19 Cash dividends payable 24 Common stock, at par 11 Income tax payable 63 Notes payable (long-term) 836 Retained earnings 306 Deferred revenues 33 TOTALS 2,479 2,479 What would Symphony report as total shareholders' equity? Triangle RST was dilated with the origin as the center of dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The coordinates of the vertices of triangle RST are given. You can use the scale factor to find the coordinates of the dilated image. Enter the coordinates of the vertices of triangle R'S'T' below. (Decimal values may be used.)