A Stone of mass 40kg is released from
A Catapult whose rubber has been stretched
through 5mm. If the stiffness of the rubber
is 20 Nm^1 CALCULATE the velocity with which
the stone Leaves the Catapult!​

Answers

Answer 1

Answer:

v = 3.53x10⁻³ m/s.

Explanation:

We can find the velocity of the rock by energy conservation:

[tex] \Sigma E_{i} = \Sigma E_{f} [/tex]        

[tex] \frac{1}{2}kx^{2} = \frac{1}{2}mv^{2} [/tex]

Where:

i is for initial and f is for final

k: is the stiffness of the rubber = 20 N/m

x: is the distance of the rubber compression = 5 mm = 0.005 m

m: is the mass of the stone = 40 kg

v: is the velocity =?

Hence, the velocity is:

[tex]v = \sqrt{\frac{kx^{2}}{m}} = \sqrt{\frac{20 N/m(0.005 m)^{2}}{40 kg}} = 3.53 \cdot 10^{-3} m/s[/tex]

Therefore, the velocity with which the stone leaves the catapult is 3.53x10⁻³ m/s.

 

I hope it helps you!  


Related Questions

A cell supplies current of 0.6A and 0.2A through 1ohms and 4.0ohms resistor respectively. Calculate the internal resistance of the cell

Answers

Answer:

0.5Ω

Explanation:

Since different currents are passing through the resistors, then the resistors are most probably connected in parallel. This also means that the same voltage will pass across them.

Using Ohm's law, the voltage across a resistor in a circuit is given by;

V = I(R + r)            -----------(i)

For the 1ohm resistor, the voltage across it is given by;

Where;

I = current passing through the 1 ohm resistor = 0.6A

R = resistance of the 1 ohm resistor = 1Ω

r = internal resistance of the cell = r

Substitute these values into equation (i) as follows;

V = 0.6(1 + r)                 -------------------(ii)

For the 4.0ohm resistor, the voltage across it is given by;

Where;

I = current passing through the 4.0 ohms resistor = 0.2A

R = resistance of the 4.0 ohms resistor = 4.0Ω

r = internal resistance of the cell = r

Substitute these values into equation (i) as follows;

V = 0.2(4.0 + r)                 -------------------(iii)

Now solve equations (ii) and (iii) simultaneously;

V = 0.6(1 + r)

V = 0.2(4.0 + r)

Substitute the value of V in equation (ii) into equation (iii). Therefore, we have;

0.6(1 + r) = 0.2(4.0 + r)

Solve for r

0.6 + 0.6r = 0.8 + 0.2r

0.6r - 0.2r = 0.8 - 0.6

0.4r = 0.2

r = [tex]\frac{0.2}{0.4}[/tex]

r = 0.5

Therefore, the internal resistance of the cell is 0.5Ω

If you have a cube that is 2x2x2 and weighs 5.29 g. How do you find the density?

Answers

Answer:

0.66

Explanation:

Follow the Density Formul d = m/v

so

d = 5.29/8

= 0.66 Density

Just correct me if I'm wrong, I mean like literally :> Thank you! ^^

.66 is the answer
Step by step explanation:
Because I said so

Which statement about the mass and the weight of an object is correct?

A They are both affected by changes in the acceleration of free fall.
B They are both forces.
C They have different units.
D Weight is calculated by dividing mass by the acceleration of free fall.

Answers

Answer:

HOPE IT HEPLED U !!!!

Explanation:

i think it's (C) They have different units ....

Uas partículas com cargas = +1,0 e = +2,0 estão posicionadas conforme indica a figura. Determine o módulo do campo eléctrico resultante no ponto P, em N/C.

Answers

10& 11 are the answer 489404

Which type of reaction is modeled by this chemical equation?
2Li + CaCl2 → 2LiCl + Ca
O A. Single-replacement
O B. Combustion
O C. Synthesis
O D. Double-replacement

Answers

The correct answer is Option (A) Single replacement.

What is Single replacement Reaction?

The reaction substituted to the other element is called single replacement reaction.The general equation is A+BX-----> AX+B.Why other options are incorrect?

(B) Combustion is a type of chemical reaction in which a compound and an oxidant is reacted to produce heat and a new product.

(C) Synthesis is the production of chemical compounds by reaction from simpler materials.

(D)A double replacement reaction is a type of chemical reaction where two reactants exchange ions to form two new products with the same type of chemical bonds.

Hence Other options are incorrect and (A) is the correct one

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Answer: single replacement

Explanation:

Rahul and Sonia were playing with blocks and each of them made a train out of them. Both of them thought of measuring the length of the train using their handspan. By that time Rahul's friend Anupam came and suggested them to measure with a measuring tape for fair result. (a) They measured their train using their outstretched hand. What unit do you think they used? (b) Why Anupam asked both of them to use measuring tape? (c) What value of Anupam is shown here? (2.5M)

Answers

Answer:

They measured their train using their handspan

A child has a mass of 30 kg on Earth. If th gravity on Moon is one sixth that of the Earth what is the weight of the child on the Moon? Gravity on Earth = 10 N^-1​

Answers

Answer:

the baby would still be 30 kg on the moon because that’s mass, not weight.

However, it will feel like 5 kg, because the acceleration is 1/6 and the force is 1/6 and the actual weight (product of mass and acceleration will be 1/6).

The child has a mass of 30 kg on earth and has one-sixth gravity on the moon will have a weight of 50 kg on the moon.

What is Gravity?

Gravity is a fundamental interaction that causes all objects with mass or energy to attract one another. The weakest of the four fundamental interactions is gravity, by far. The Moon's gravity causes sublunar tides in the oceans, just as gravity on Earth imparts weight to physical objects.

Given:

The mass of the child (m) = 30 kg,

The gravity on the moon (G) = 1/6 of the earth.

To calculate the weight of the child on the moon, use the formula given below,

F = m × a

Here

[tex]F[/tex] is the weight, [tex]m[/tex] is the mass and [tex]a[/tex] is the gravity on earth, gravity on earth [tex]10\ m/s^2[/tex].

Substitute the values

[tex]F=30*10/6[/tex]

[tex]F = 50\ kg[/tex]

Therefore, the weight of a child on the moon is 50 kg.

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100 J OF HEAT IS PRODUCED EACH SECOND IN A 4 COULUMB RESISTER. THE POTENTIAL DIFFERANCE ACROSS THE RESISTER WILL BE

Answers

Answer:

The correct answer is "20 Volts".

Explanation:

Given:

Heat,

H = 100 J

Resistance,

R = 4 Ω

As we know,

⇒ [tex]P=\frac{v^2}{R}[/tex]

By putting the values, we get

⇒ [tex]100=\frac{v^2}{4}[/tex]

⇒  [tex]v^2=100\times 4[/tex]

⇒       [tex]=400[/tex]

⇒    [tex]v=\sqrt{400}[/tex]

⇒       [tex]=20 \ volts[/tex]

PLSSSSS HELPPPPP

Consider the potential energy diagram shown below. This graph shows the chemical potential energy in a reaction system over time. The y-axis is potential energy in kilojoules. The x-axis is the reaction progress, or time.

The far left part of the curve is horizontal and has an energy value of 50 kJ. The curve then rises to a peak of 250 kJ before falling to a horizontal region at 200 kJ.

Does this graph represent an endothermic or an exothermic reaction? Explain your answer.
What is the enthalpy change, ΔH, for this reaction? Show your work.
What is the activation energy, Ea, for this reaction? Show your work.
In a particular chemical reaction, the energy of the reactants is 30 kJ and the energy of the products is 5 kJ. The maximum energy of the system is 40 kJ.
Sketch a potential energy diagram for this reaction. Make sure to label the energy of the reactants, the energy of the products, the activation energy, and the enthalpy change for the reaction.
What is the activation energy for this reaction?
What is the enthalpy change for this reaction?
Is this reaction endothermic or exothermic? Explain your answer in two ways: first, using the energy values, and second, by referring to the shape of the graph.
The coating on the head of a match is highly flammable. When it burns, it releases a great deal of energy. However, before the match can burn, it must gain a small amount of energy from a spark. That spark is typically produced by striking (rubbing) the match head against a rough surface. Sketch and describe a potential energy diagram that represents the striking and burning of the match. Remember to label the diagram with the energy changes that occur. Your answer must include the potential energy diagram and a written description. (Note: you do not have to use actual energy values.)

Answers

Answer:

A. Endothermic reaction.

B. +150KJ.

C. 250KJ.

Explanation:

A. The graph represents endothermic reaction because the heat of the product is higher than the heat of the reactant.

B. Determination of the enthalpy change, ΔH for the reaction. This can be obtained as follow:

Heat of reactant (Hr) = 50KJ

Heat of product (Hp) = 200KJ

Enthalphy change (ΔH) =..?

Enthalphy change = Heat of product – Heat of reactant.

ΔH = Hp – Hr

ΔH = 200 – 50

ΔH = +150KJ

Therefore, the enthalphy change for the reaction is +150KJ

C. The activation energy for the reaction is the energy at the peak of the diagram.

From the diagram, the activation energy is 250KJ.

300kg of water are lifted 10m vertically in 5s show the work done in 30kj and that power is 6kw . Please help me​

Answers

Answer:

6KW

Explanation:

The computation is shown below:

We know that

Work done= m ×g× h

Here

W= 300×10×10

= 30000 J

= 30 KJ

And

Power= Work done ÷time taken

 P = 30000 ÷ 5

= 6000W

= 6KW

The above represent the answer

How much current is drawn by a computer with a resistance of 42Ω that is connected across a potential difference of 220 V?
9200 amps
6.6 amps
7.0 amps
5.2 amps

Answers

Answer:

5.2 amps

Explanation:

V = I*R

I = V/R

I = 220/42

I = 5.2 amps

Answer:

5.2

Explanation:

because

[tex]i \frac{v}{r} [/tex]

220÷42=5.23

Examine the following output:
4 22 ms 21 ms 22 ms sttlwa01gr02.bb.ispxy.com [154.11.10.62]
5 39 ms 39 ms 65 ms plalca01gr00.bb.ispxy.com [154.11.12.11]
6 39 ms 39 ms 39 ms Rwest.plalca01gr00.bb.ispxy.com [154.11.3.14]
7 40 ms 39 ms 46 ms svl-core-03.inet.ispxy.net [205.171.205.29] 8 75 ms 117 ms 63 ms dia-core-01.inet.ispxy.net [205.171.142.1] Which of these commands produced this output?
A. tracert
B. nslookup
C. pingroute
D. ping

Answers

Answer:

A. tracert

Explanation:

Tracert is a computer diagnostic command which displays possible routes for delays in packets of Internet Protocol (IP). Tracert command will display results for route which is recorded round trip times of packet.

If you were to make a three-dimensional model of magnetic force using a magnet and magnetic field lines, which two characteristics might your model have

Answers

Answer:

- the Magnetic field lines will spread out of the north end of the magnet.

- the magnetic fields will three-dimensional and resemble a bubble.

Explanation:

- Usually, when drawing magnetic field lines, we start outwardly from the North pole to the South Pole. This same direction is also prevalent on the Earth due to the fact that the Earth functions as a giant magnet. Thus, one characteristic of the model is that the Magnetic field lines will spread out of the north end of the magnet.

- Another thing is that Magnetic field forces are usually driven as a result bubble like configuration which affects the objects that are in such a configuration. Thus, another characteristic of the model is that the magnetic fields will three-dimensional and resemble a bubble.

HELP)

of the following WOULD YOU NOT FIND IN THE DESERT

TORNADO
DRY HUMIDITY
HURRICANE
NONE OF THE ABOVE

Answers

hurricane is the answer they are formed in water

the one you will most likely not find would be a hurricane

Explanation:

then can only be made when they are in a body of water

Let's say you want to start a fire using a mirror to focus sunlight. What would you do A) use a plane mirror. B) use a convex mirror , with the object to be ignited positioned at the center of curvature of the mirror. C) use a concave mirror, with the object to be ignited positioned at the center of curvature of the mirror. D) use a concave mirror, with the object to be ignited positioned halfway between the mirror and its center of curvature.

Answers

Answer:

A concave mirror is used.

Explanation:

start a fire using a mirror to focus sunlight.

A concave mirror is used as a light concentrator.

When the object is placed at the infinity, the image is formed at focus.

So, the light is focused at the focus and thus the fire is started.

Dos carritos se colocan en una mesa sobre la que pueden moverse sin rozamiento y se sujetan comprimiendo un resorte entre ellos. El carrito 1 tiene doble masa que el 2. De pronto se sueltan. A) Compara las velocidades, cantidades de movimiento y energías cinéticas que adquieren, b) ¿Cómo serían las respuestas si la masa del carrito 1 fuese mucho mayor que la del 2?

Answers

Answer:

a)  v₁ = - ½ v₂,  K₁ / K ₂ = ½,)

Explanation:

A) Let's use the conservation of the moment, for this we define the system formed by the spring and the two cars, so the force during the separation is internal, therefore the moment is conserved

initial instant. Before releasing the carts

         p₀ = 0

final instant. After jumping the cars

         p_f = M v₁ + m v₂₂

how the moment was preserved

        p₀ = p_f

        0 = M v₁ + m v₂

        v₁ = - m / M v₂

indicate that M = 2m

        v₁ = - ½ v₂

the kinetic energy of each car is

        K₁ = ½ M v₁²

        K₁ = ½ 2m (v₂/ 2) ²

        K₁ = m ₂v₂² / 4

        K₂ = ½ m v₂²

the relationship between the kinetic energies is

         K₁ / K₂ = ½

B) If the much greater than the mass of car 1 is mass of car 2

        v = - m / M v₂

         In this case, the speed of car 1 is very small, so the car 1 practitioner does not backtrack and car 2 leaves with a lot of speed.

The energy is still conserved, where almost all the energy has it is car 2

can someone please help

Answers

The answer is B. Mono and polyunsaturated fats because the other two are really harmful and they are not healthy whatsoever.

A car with a velocity of 22 m/s is accelerated uniformly at the rate of 2 m/s2 for 7s. What is its final velocity?

Answers

Answer:

Explanation:

This is a classic acceleration problem in one dimension. Use the equation

[tex]a=\frac{v_f-v_0}{t}[/tex] where a is the acceleration of he car, vf is the final velocity (and our unknown), v0 is the initial velocity, and t is time in seconds. Filling in:

[tex]2=\frac{v_f-22}{7}[/tex] and

14 = vf - 22 and

36 = vf (not quite right with the sig dig's but I'm guessing you're not really into the specifics much, judging by the acceleration and the time values)

A hydrometer is an instrument used to determine liquid density. A simple one is sketched in the figure below. The bulb of a syringe is squeezed and released to lift a sample of the liquid of interest into a tube containing a calibrated rod of known density. (Assume the rod is cylindrical.) The rod, of length L and average density 0, floats partially immersed in the liquid of density . A length h of the rod protrudes above the surface of the liquid. Show that the density of the liquid is given by
=
0L
L − h
.
(Do this on paper. Your instructor may ask you to turn in this work.)

Answers

Answer:

weight of rod =weight of liquid displaced

mass of the rod ×g =mass of liquid displaced ×g

(g cancelled out)

mass of the rod =mass of liquid displaced

density of rod ×volume of rod =density of liqiud ×volume of liquid displaced

O×cross section area of rod ×height of rod =density of liquid ×Cross section area of rod ×height of rod under the surface

O×L=density of liquid ×(L-h)

then density of liquid =OL/(L-h) shown as required

The density of the liquid is given by =OL/L − h

What is density?

Density is the ratio of mass of an object and its volume.

According to the Archimedes principle, weight of rod = weight of liquid displaced

mass of the rod ×g =mass of liquid displaced ×g

So, mass of the rod =mass of liquid displaced

Mass in terms of density is substituted,

density of rod × volume of rod =density of liquid ×volume of liquid displaced

cross section area of rod ×height of rod =density of liquid ×Cross section area of rod ×height of rod under the surface

O×L=density of liquid ×(L-h)

Then, density of liquid =OL/(L-h).

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A 40kg girl and a 50kg boy are facing each other on a friction-free rollerskates. The girl pushes the boy, who moves away at a speed of 3 m/s. What is the girl's
speed?
Your answer

Answers

Answer:

Explanation:

The Law of Momentum Conservation, just like the Law of Thermodynamics about energy, says that momentum is neither created nor destroyed but is conserved, meaning it has to go somewhere. If the girl pushes the boy and they are both on friction free skates, then the girl will also react to the push. Momentum Conservation says

[tex](m_gv_g+m_bv_b)_b=(m_gv_g+m_bv_b)_a[/tex] In words this says that the mass times the velocity of the girl plus the mass times the velocity of the boy before the push has to equal the mass times velocity of the girl plus the mass times velocity of the boy after the push. Mathematically,

[tex](40.0*0+50.0*0)_b=(40.0v+50.0*-3)_a[/tex]

The left side of this is equal to 0. On the right, I made the velocity of the boy negative. We could have made it positive and it wouldn't have mattered. The sign will only be important to the result because if the sign of the girl's velocity is the same as the boy's, she is moving in the same direction as he is; if it's different, she is moving in the opposite direction.

0 = 40.0v - 150.0 and

-40.0v = -150.0 so

v = 3.75 This means that when she pushes the boy one way, mometum is conserved and she moves in the opposite direction and at a greater velocity (because her mass is less). Physics is a wonderful thing, isn't it!?

My buddy and I are planning a shore dive. we're descending onto a very gradual slope that begins at 5 m/15 ft, so our descent and ascent will be a gradual part of swimming out and back underwater. we have similar cylinders filled to 2000 bar/3000 psi. We plan:
- 50 bar/500 psi reserve
- 20 bar/300 psi for our safety stop
- to turn the dive when we've used 1/3 of the air available to use on the dive

This means we should head back when either of our SPGs read
A. 70 bar/800 psi
B. 145 bar/1900 psi
C. 157 bar/2270 psi
D. 170 bar/2500 psi

Answers

Answer:

C. 157 bar/2270 psi

Explanation:

Calculation to determine what we should head back when either of our SPGs read

SPGs=200 bar -[200 bar-(50 bar + 20 bar)]÷1/3]

SPGs=200 bar-[(200 bar-70 bar)÷1/3]

SPGs=200 bar-(130 bar÷1/3)

SPGs=200 bar-43 bar

SPGs=157 bar/2270 psi

Therefore based on the above calculation we should head back when either of our SPGs read 157 bar/2270 psi

1. A 14-cm tall object is placed 26 cm from a converging lens that has a focal length of 13 cm.

Answers

Answer:

a) Please find attached the required drawing of light passing through the lens

By the use of similar triangles;

The image distance from the lens = 26 cm

The height of the image = 14 cm

c) The image distance from the lens = 26 cm

The height of the image = 14 cm

Explanation:

Question;

a) Determine the image distance and the height of the image

b) Calculate the image position and height

The given parameters are;

The height of the object, h = 14 cm

The distance of the object from the mirror, u = 26 cm

The focal length of the mirror, f = 13 cm

The location of the object = 2 × The focal length

Therefore, given that the center of curvature ≈ 2 × The focal length, we have;

The location of the object ≈ The center of curvature of the lens

The diagram of the object, lens and image created with MS Visio is attached

From the diagram, it can be observed, using similar triangles, that the image distance from the lens = The object distance from the lens = 26 m

The height of the image = The height of the object - 14 cm

b) The lens equation is used for finding the image distance from the lens as follows;

[tex]\dfrac{1}{u} + \dfrac{1}{v} = \dfrac{1}{f}[/tex]

Where;

v = The image distance from the lens

We get;

[tex]v = \dfrac{u \times f}{u - f}[/tex]

Therefore;

[tex]v = \dfrac{26 \times 13}{26 - 13} = \dfrac{26 \times 13}{13} = 26[/tex]

The distance of the image from the lens, v = 26 cm

The magnification, M =v/u

∴ M = 26/26 = 1, therefore, the object and the image are the same size

Therefore;

The height of the image = The height of the object = 14 cm.

What produces magnetic fields?​

Answers

Answer:

flowers

Explanation:

i'm really not sure but i have this gut feeling its flowers

What is a magnetic field and how is it created?
If you have a rotating electric current, it will create a magnetic field. On Earth, flowing of liquid metal in the outer core of the planet generates electric currents. The rotation of Earth on its axis causes these electric currents to form a magnetic field which extends around the planet.

which instrument should, ideally, have zero resistance?
A) wheatstone bridge
B) oscilloscope
C) voltmeter
D) ammeter

Answers

The answer is C voltmeter
I think the answer is D) ammeter, because the resistance of the ammeter has to zero, to ensure there is no error readings during measurements.

HELP ME ILL MARK U THE BRAINLIEST

Another box of weight 1500 N is raised vertically by 3.0 m
calculate the work done on the box

Answers

Answer:

[tex]workdone = force \times distance \\ = 1500 \times 3 \\ = 4500 \: joules[/tex]

Answer:

4,500J

Explanation:

Work done = force × distance

1500N × 3m = 4,500 Joules

Pls help it’s really late <3

Answers

Answer:

22.4%

Explanation:

The plane is 300000 kg

It is 11000 meters about the earth's surface.

g = 9.81

PE = mgh

PE = 300000 * 9.81 * 11000

PE = 3.24* 10^10

The Kinetic Energy

KE = 1/2  m * v^2

m = 300000

v = 250 m/s

KE = 1/2 300000 * (250 m/s)^2

KE = 9.375 * 10^9

Total Energy = 3.24 * 10^10 + 9.375 * 10^9

Total Energy = 4.17 * 10^10

9.375 * 10^9

===========    * 100 % = 22.44 %

4.17 * 10^10

define the term capacitance and its SI unit​

Answers

Answer:

See explanation below

Explanation:

Capacitance is the amount of electric charge stored on a conductor and its SI unit is Farads (F).

Answer:

capacitance is the amount electric charges of a conductor, its si is farads

Bye , :-)

describe the application of Pascal's law in hydraulic excavator.
plz help me ​

Answers

Explanation:

The hydraulic system works on the principle of Pascal's law which says that the pressure in an enclosed fluid is uniform in all the directions. ... As the pressure is same in all the direction, the smaller piston feels a smaller force and a large piston feels a large force.

why would the planets move in a straight path if there was no gravitational energy from the sun​

Answers

Explanation:

The sun's gravitational force is very strong. If it were not, a planet would move in a straight line out into space. The sun's gravity pulls the planet toward the sun, which changes the straight line of direction into a curve. This keeps the planet moving in an orbit around the sun

Answer and Explanation:

The planets would move in a straight path since there would be no source that will be acting upon them (if the sun wasn't there).

Gravitational pull is the amount of force that an object emits. Due to the Sun having a larger mass and a larger gravitational pull, the planets orbit around it.  

If, for example, a house was bigger than everything, including planets and stuff, those things would orbit around the house.

A real life example is the moon orbiting Earth. The Earth has a greater magnitude and mass, so it is able to pull the Moon.

Right now the Sun is the external force, as its gravitational pull is moving the planets around. IF the sun was to magically disappear, the planets won't follow an orbit anymore, since there isn't a gravitational pull on them. This leads them to going in a straight line for possibly a couple years.

Eventually, the planets will stop going in a straight line and start to orbit each other, leading to the planets eventually crashing.

External Force = Sun's gravitational pull because of bigger mass

The planets themselves were created after the sun (though some minerals were created before the sun, but that's minerals and not the planet entirely). The sun gives the planet's their motion. The planets, however (though I'm not sure about mercury and Venus) are going super fast, fast enough to where they aren't being pulled into the sun, but not fast enough to go out of orbit.

If the sun goes out magically, the planets, actually yes will continue orbit due to them being in that motion at such a fast rate, but eventually when they are supposed to turn again, (like, to another part of the sun), the would go straight. Eventually, the will get into the orbit of something else and start going around that object's orbit, most likely outcome being that they crash.

The excess force from no gravitational pull will make the planets go in a straight path. Since nothing is acting upon it, the planets would move in a straight line. Imagine if you were on those spinning circle things, and then let go. You would go around it for like a second and then go immediately straight in one direction.

#teamtrees #PAW (Plant And Water)

negative acceleration is also known as

Answers

Answer:

Deceleration

Explanation:

The amount by which a speed or velocity decreases

Answer:

Negative Acceleration is called Deceleration.

Other Questions
Given that ZABC = ZDBE, which statement must betrue?ZABC - ZABDZABD Z CBEZ CBD , ZDBEZ CBD - ZABC Is the following chemical reaction balanced?2H202-H2O + O2yesno if you had 12 pieces and cherry has 3 pieces grape has 4 pieces and lemon has 5 pieces What is the probability of selecting a cherry OR grape piece? Hi Savaine this is for you Which range of y values makesthis inequality true?0.6y < 15Pls help Jodie ran at an average speed of 6 km/h for 10 minutes. How far did she run in km? 55 points:What is the area of "triangle " XYZ to the nearest tenth of a square inch? Use special right triangles to help find the height. Leave your answer in terms of the radical. Show your work. the base of a cylinder or a cone has a ________ shape. DUE TODAY!!! PLS HELP IF YOU KNOW!!! Help plz god bless you! WRITE A SMALL PARAGRAPH ABOUT IDAHOS WEATHER DO NOT COPY AND PASTE THE WHOLE PARAGRAPH FROM SAFARI WRITE ABOUT IDAHOS WEATHER THANK YOU IF YOU DO A fertilizer company is trying to find a new herbal pesticide to add to its product. Company managers know that peppermint oil or lavender oil will be used. They also know that the time of day the fertilizer is applied, morning and night, affects the pesticide. An experiment will compare all combinations of these choices. Three types of insects will be subjected to each treatment and scored for quality. What are the treatments Armando works in a research institute and they have collected the following data on a random sample of 500 students,GenderGRE score before and after participation in a GRE prep course (GRE is a test you take for entering graduate school)Armando wants to answer questions the following questions:1: After taking the GRE preparation course, did women show more improvement on the GRE score or men?2: After the GRE preparation course, did more women get admitted to the graduate program or men?3: What statistical method should he use?a. He should use the one-sample test of the mean to answer question one and the one-sample test of proportion to answer question b.b. He should use the two-sample test of the mean to answer question one and the two-sample test of proportion to answer question two.c. He should use the two-sample test of proportion to answer question one and the two-sample test of the mean to answer question b.d. He should use the paired-sample of the mean to answer question one and two sample test of the mean to answer question two. explain why triangles in the figure are similar. then find the missing length x bur anQuestion 4: Answer the following questions1)What percent is 40 of 50?(2) 4.2)What percent is 50 of 40? Chris is playing a card game with his friends. The game uses only the four aces from a standard deck of cards. For each move, a player draws one card, replaces it, and then draws the second card. A man was 62 years 18 years ago. what will be his age in 6 years time f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 > 0 B. 47 2 2 r--3, (1) (a) = (4) (a) x A c. (5) (r) = 1,2*0 OD (1) (a= + 2 BRAINLIEST ASAP PLEASE Write an equation for each translation.36. y = sin x, Pi/4units to the right Write 1/3 x^2 - 4x + 17 in vertex form