A sample contains 36 g of a radioactive isotope. How much radioactive isotope remains in the sample after 3 half-lives?
A. 12 g
B. 18 g
C. 4.5 g
D. 9 g

Answers

Answer 1

Answer:

Option "C": "4.5 g"

Explanation:

N0 = 36 g, Let half-life is T.

t = 3 T, n is number of half lives = t / T = 3

By using the decay law of radioactivity

N / N0 = (1 / 2)^n

where

"N0" be the "initial amount"

"N" be the "amount left"

"n" be the "number of half-lives"

N / 36 = (1/2)^3

N / 36 = 1 / 8

N = 36 / 8 = 4.5 g

Answer 2
Answer:
4.5g

Explanation:

No = 36g Let half life is T

T= 3 T n number of half lives = t/T=3

N/No= (1/2)^n

Where, No be the initial amount

N be the amount left

n be the number of half lives

N/36 = (1/2)^3

N/36 = 1/8

N = 36/8 = 4.5g

Related Questions

A high-diver of mass 59.8 kg jumps off a board 10.0 m above the water. If, 1.00 s after entering the water his downward motion is stopped, what average upward force did the water exert?
a. 108 N.
b. 4.27 N.
c. 840 N.
d. 598 N.
e. None of the other answers is correct.

Answers

la respuesta correcta es la "E"

At a distance of 8 m, the sound intensity of one speaker is 66 dB. If we were to place 3 speakers in a circle of radius 8 m, what woud the sound intensity level be at the center of the circle

Answers

Answer:

dβ = 70. 77 dβ

Explanation:

The intensity of sound in decibels is

         dβ = 10 log I/I₀

let's look for the intensity of this signal

         I / I₀ = 10 dβ/10

         I / I₀ = 3.981 10⁶

the threshold intensity of sound for humans is I₀ = 1 10⁻¹² W / m²

         I = 3.981 10 ⁶ 1 10⁻¹²

         I = 3,981 10⁻⁶ W / m²

It is indicated that 3 cornets are placed in the circle, for which total intensity is

        I_total - 3 I

        I_total = 3  3,981 10⁻⁶

        I_total = 11,943 10⁻⁶ W / m²

let's reduce to decibels

      dβ = 10 log (11,943 10⁻⁶/1 10⁻¹²)

      dβ = 10  7.077

      dβ = 70. 77 dβ

Calculate conductance of a conduit the cross-sectional area of which is 1.5 cm2 and the length of which is 9.5 cm, given that its conductivity is 0.65 ohm-1 cm-1.

0.15 ohm-1
0.10 ohm-1
1.2 ohm-1
7.5 ohm-1

Answers

Answer:

1.2

Explanation:

How large must the coefficient of static friction be between the tires and road if a car is to round a level curve of radius 125 m at a speed of 95km/h

Answers

A frictional coefficient of unity yields 1 g = 9.81 m/s of centripetal acceleration on level ground, so the required frictional coefficient is: = 8.193/9.81 = 0.835. This assumes that no forward thrust is applied to the tires to overcome air drag.

Answer:

673km

Explanation:

Keeping the mass at 1.0 kg and the velocity at 10.0 m/s, record the magnitude of centripetal acceleration for each given radius value. Include units. Radius: 2.0 m 4.0 m 6.0 m 8.0 m 10.0 m Acceleration: Radius factor: Acceleration factor:

Answers

Answer:

The centripetal acceleration for the first radius; 2.0 m = 50 m/s²

The centripetal acceleration for the second radius; 4.0 m = 25 m/s²

The centripetal acceleration for the third radius; 6.0 m = 16.67 m/s²

The centripetal acceleration for the fourth radius; 8.0 m = 12.5 m/s²

The centripetal acceleration for the fifth radius; 10.0 m = 10 m/s²

Explanation:

Given;

mass of the object, m = 1 kg

velocity of the object, v = 10 m/s

different values of the radius, 2.0 m 4.0 m 6.0 m 8.0 m 10.0 m

The centripetal acceleration for the first radius; 2.0 m

[tex]a_c = \frac{v^2}{r} \\\\a_c_1= \frac{(10)^2}{2} \\\\a_c_1= 50 \ m/s^2[/tex]

The centripetal acceleration for the second radius; 4.0 m

[tex]a_c_2= \frac{(10)^2}{4} \\\\a_c_2= 25 \ m/s^2[/tex]

The centripetal acceleration for the third radius; 6.0 m

[tex]a_c_3= \frac{(10)^2}{6} \\\\a_c_3= 16.67 \ m/s^2[/tex]

The centripetal acceleration for the fourth radius; 8.0 m

[tex]a_c_4= \frac{(10)^2}{8} \\\\a_c_4= 12.5 \ m/s^2[/tex]

The centripetal acceleration for the fifth radius; 10.0 m

[tex]a_c_5= \frac{(10)^2}{10} \\\\a_c_5= 10 \ m/s^2[/tex]


A man is pushing a box of weight W with a forward force of magnitude F. The box
moves forward with a constant speed. What is the magnitude f of the friction force?

Answers

Answer:

The magnitude of the friction force is also F.

Explanation:

By the second Newton's law, we know that:

F = m*a

Net force is equal to mass times acceleration.

Here, we know that the box moves with constant speed, thus, the box has no acceleration, then the net force applied to the box is zero.

Also, remember that the friction force is given by:

[tex]F_f = -\mu*W[/tex]

Where mu is the coefficient of friction, and this force opposes to the direction of motion (that coincides with the direction of our forward force, that is why this has a negative sign)

The net force will be equal to the sum of our two horizontal forces (as the weight is already canceled by the normal force)

[tex]F_{total} = F + F_f[/tex]

And this is equal to zero, because we know that the box is non-accelerated.

Then we must have that:

[tex]F_f = -F[/tex]

Then we can conclude that the magnitude of the friction force is F.

A person pushes a 15.7-kg shopping cart at a constant velocity for a distance of 25.9 m on a flat horizontal surface. She pushes in a direction 23.7 ° below the horizontal. A 32.7-N frictional force opposes the motion of the cart. (a) What is the magnitude of the force that the shopper exerts? Determine the work done by (b) the pushing force, (c) the frictional force, and (d) the gravitational force.

Answers

Answer:

a)    F = 35.7 N, b)   W = 846.7 J, c)   W = - 846.9 J, d) W=0

Explanation:

a) For this exercise let's use Newton's second law, let's set a reference frame with the x-axis horizontally

let's break down the pushing force.

        cos (-23,7) = Fₓ / F

        sin (-237) = F_y / F

        Fₓ = F cos 23.7 = F 0.916

        F_y = F sin (-23.7) = - F 0.402

         

Y axis  

       N- W - F_y = 0

       N = W + F 0.402

X axis

       Fₓ - fr = 0

       F 0.916 = fr

       F = fr / 0.916

       F = 32.7 / 0.916

       F = 35.7 N

It is asked to calculate several jobs

b) the work of the pushing force

       W = fx x

       W = 35.7 cos 23.7 25.9

       W = 846.7 J

c) friction force work

        W = F x cos tea

friction force opposes movement

        W = - fr x

         W = - 32.7 25.9

         W = - 846.9 J

d) The work of the force would gravitate, as the displacement and the force of gravity are at 90º, the work is zero

          W = 0

a ball dropped from a height of 10 meters will bounce more times before coming to rest than a ball dropped from a height of 5 meters. Use evidence and scientific reasoning to explain this phenomenon.

Answers

Answer:

plz mark brainliest again lol :)

Explanation:

When you drop a ball from a greater height, it has more kinetic energy just before it hits the floor and stores more energy during the bounce—it dents farther as it comes to a stop.

Answer:

When you drop a ball from a greater height, there is more potential energy. When you release the ball, the potential energy turns into kinetic energy. When the ball bounces off the ground, the ball go upward and then it has more potential energy. Then when it goes down it has more kinetic energy. The ball keeps doing this until there is not enough potential energy left.

Explanation:

Why do nuclear power plants use fission rather than fusion to generate
electric energy?
A. Fusion requires very high pressure and temperature.
B. A problem might lead to an explosion in a fusion reactor, but not
in a fission reactor.
C. The isotope used in fission is more common than the one used
in fusion.
D. Fission produces less radioactive waste than fusion does.

Answers

Answer:

Fission is used in nuclear power reactors since it can be controlled, while fusion is not utilized to produce power since the reaction is not easily controlled and is expensive to create the needed conditions for a fusion reaction.

Explanation:

Answer:

Hello There!!

Explanation:

I think it is A. Fusion requires very high pressure and temperature. Sorry if I am wrong.

hope this helps,have a great day!!

~Pinky~

A superconductor performs best at ______.


Extremely high temperatures



Room temperature


Very cold temperatures


Any temperature

Answers

Answer:

c

Explanation:

Superconductors perform best at very cold temperatures because resistivity of this kind of materials decays drastically with temperature. Chromium is most likely to be the best conductor of electricity because it belongs to the Transition Metal group of the periodic table

Người ta đúc một khối nhóm (A) và một khối sắt ( (Fe) hình khối với cũng khói lượng 5 kg Khối lượng riêng (2) của Al và Fe là 2 rho ki =2.7*10^ 3 kg/m^ 3 ; mu 4 =7,8*10^ 3; kg/m^ 3 Hỏi, khối vật liệu nào có kích thước lớn hơn? (a) khối nhằm (b) khối sắt (c) hai khối có cùng kích cỡ

Answers

Translate to English please

Two electrons in adjacent atomic shells are separated by a distance of 6.64 ✕ 10−11 m. (a) What is the magnitude of the electrostatic force between the electrons? N (b) What is the ratio of the electrostatic force to the gravitational force between the electrons? FE FG =

Answers

Answer:

The ratio of the electrostatic force to the gravitational force between the electrons is 4.181 x 10⁴²

Explanation:

Given;

charge of electron, Q = 1.602 x 10⁻¹⁹ C

mass of an electron, m = 9.1 x 10⁻³¹ kg

distance between the two electrons, r = 6.64 x 10⁻¹¹ m

The electrostatic force between the electrons is calculated using Coulomb's law;

[tex]F_e = \frac{kQ^2}{r^2} \\\\F_e = \frac{(9\times 10^9)(1.602 \times 10^{-19})^2}{(6.64 \times 10^{-11})^2} \\\\F_e = 5.239 \times 10^{-8} \ N[/tex]

The gravitaional force between the electrons is calculated as;

[tex]F_g = \frac{Gm^2}{r^2} \\\\F_g = \frac{(6.67\times 10^{-11})(9.1 \times 10^{-31})^2}{(6.64\times 10^{-11})^2} \\\\F_g = 1.253 \times 10^{-50} \ N[/tex]

The ratio of the electrostatic force to the gravitational force between the electrons;

[tex]\frac{F_e}{F_g} = \frac{5.239\times 10^{-8}}{1.253 \times 10^{-50}} = 4.181 \times 10^{42}[/tex]

QUESTION 5 (Start on a new page.)
A roller-coaster car of mass 200 kg, with the engine switched off, travels along
track ABC which has a rough surface, as shown in the diagram below. At point A,
which is 10 m above the ground, the speed of the car is 4 m.s.
At point B, which is at a height h above the ground, the speed of the car is 2 m.st.
During the motion from point A to point B, 3,40 x 10 J of energy is used to overcome
friction.
Ignore rotational effects due to the wheels of the car.
4 m.s
2 m.s1
22 m
B
h
10 m
(2)
5.1
Define the term non-conservative force.
botravelled from​

Answers

mnakanwjehelehdchsieh ex

Two long, straight wires are fixed parallel to one another a distance do apart. The wires carry equal constant currents 1, in the same direction. The attractive magnetic force per unit length between them if f = F/L. What is the force per unit length between the wires if their separation is 2d, and each carries current 210? 10 da lo A. f/4 B. f/2 C. 3f/2 D. 2f

Answers

Answer:

The option (B) is correct.

Explanation:

The magnetic force between the two current carrying wires is given by

[tex]F =\frac{\mu o}{4\pi}\times \frac{2 I I'}{r}[/tex]

where,  I and I' be the currents in the wires and r is the distance between the two wires.

Here, we observe that the force between the wires is inversely proportional to the distance between them.

So, when the distance is doubled , let the new force is F'.

[tex]\frac{F'}{F}=\frac{r}{r'}\\\\\frac{F'}{F}=\frac{d}{2d}\\\\F'=\frac{F}{2}[/tex]

So, option (B) is correct.

a ball rolls off the edge of a 2m high shelf at a speed of 5 m/s and hits the ground the taken to hit the ground is

Answers

Answer:

Explanation:

Use the one-dimensional equation

Δx = [tex]v_0t+\frac{1}{2}at^2[/tex] where delta x is the displacement of the object, v0 is the velocity of the object, a is the pull of gravity, and t is the time in seconds. That's our unknown.

Δx = -2 (negative because where it ends up is lower than the point at which it started),

[tex]v_0=5[/tex], and

a = -9.8

Filling in:

[tex]-2=5t+\frac{1}{2}(-9.8) t^2[/tex] and simplified a bit:

[tex]-2=5t-4.9 t^2[/tex]

this should look hauntingly familiar (a quadratic, which is parabolic motion...very important in physics!!). We begin by getting everything on one side of the equals sign and solving for t by factoring:

[tex]-4.9 t^2+5t+2=0[/tex] (the 0 is also indicative of the object landing on the ground! Isn't this a beautiful thing, how it all just works so perfectly together?)

When you factor this however your math/physics teacher has you factoring you will get that

t = 1.3 sec and t = -.31 sec

Since we all know that time can NEVER be negative, it takes the ball 1.3 sec to hit the ground from a height of 2 m if it is rolling off the shelf at 5 m/s.

An aircraft is in level flight at 225 km/hr through air at standard conditions. The lift coefficient at this speed is 0.45 and the drag coefficient is 0.065. The mass of the aircraft is 900 kg. Calculate the effective lift area for the aircraft and the required engine thrust and power to maintain level flight.

Answers

Answer:

- the effective lift area for the aircraft is 8.30 m²

- the required engine thrust is 1275 N

- required power is 79.7 kW

Explanation:

Given the data in the question;

Speed V = 225 km/hr = 62.5 m/s

The lift coefficient CL = 0.45

drag coefficient CD = 0.065

mass = 900 kg

g = 9.81 m/s²

a)  the effective lift area for the aircraft

we know that for a steady level flight, weight = lift and thrust = drag

Using the equation for the lift force

F[tex]_L[/tex] = C[tex]_L[/tex][tex]\frac{1}{2}[/tex]ρV²A = W

we substitute

0.45 × [tex]\frac{1}{2}[/tex] × 1.21 × ( 62.5 )² × A = ( 900 × 9.81 )

1081.05 × A = 8829

A = 8829 / 1081.05

A = 8.30 m²

Therefore, the effective lift area for the aircraft is 8.30 m²

b) the required engine thrust and power to maintain level flight.

we use the expression for drag force

F[tex]_D[/tex] = T = C[tex]_D[/tex][tex]\frac{1}{2}[/tex]ρV²A

we substitute

= 0.065 × [tex]\frac{1}{2}[/tex] × 1.21 × ( 62.5 )² × 8.30

T = 1275 N

Since drag and thrust force are the same,

Therefore, the required engine thrust is 1275 N

Power required;

P = TV

p = 1275 × 62.5

p = 79687.5 W

p = ( 79687.5 / 1000 )kW

p = 79.7 kW

Therefore, required power is 79.7 kW

An object moves 20 m east in 30 s and then returns to its starting point taking an additional 50 s. If west is chosen as the positive direction, what is the average speed of the object

Answers

Answer:

v = 0.5 m/s.

Explanation:

Total distance, d = 20 m + 20 m = 40 m

Total time taken, t = 30 s + 50 s = 80 s

The average speed of an object is the total distance divided by time taken. So,

[tex]v=\dfrac{40}{80}\\\\=0.5\ m/s[/tex]

So, the average speed of the object is 0.5 m/s.

A firefly glows by the direct conversion of chemical energy to light. The light emitted by a firefly has peak intensity at a wavelength of 550 nm. Part A What is the minimum chemical energy, in eV, required to generate each photon

Answers

Answer:

Explanation:

The energy of a photon is given by the Planck relation

          E = h f

the speed of light is related to wavelength and frequency

          c = λ f

           f- c /λ

we substitute

          E = h c /λ

let's calculate

          E = 6.63 10-34 3 10⁸ / 550 10-9

          E = 3.616 10-19 J

let's reduce to eV

          E = 3.616 10-19 J (1 eV / 1.6 10-19)

          E = 2.26 eV

1. What did you observe about the magnitudes of the forces on the two charges? Were they the same or different? Does your answer depend on whether the charges were of the same magnitude or different? How does this relate to Newton’s 3rd law?

Answers

Answer:

Following are the solution to the given question:

Explanation:

Its strength from both charges is equivalent or identical. The power is equal. And it is passed down

[tex]F=\frac{kq_1q_2}{r^2}[/tex]

Therefore, the extent doesn't rely on the fact that charges are the same or different. Newton's third law complies with Electrostatic Charges due to a couple of charges. They are similar in magnitude, and they're in the other way.

[tex]|F_{12}| = |F_{21}|[/tex]

¿Es posible que un objeto se mueva en
una dirección distinta de la dirección de la fuerza neta
que actúa sobre el objeto?

Answers

Answer:

translate it to English plss

Explain whether or not you would trust any conclusions obtained from this data. When formulating your answer, consider whether or not the effects of friction could account for the results these students obtained. What could the students have done wrong

Answers

Answer:

Please find the complete question in the attached file.

Explanation:

This graph as seen in the question must not be trusted. The reason for this is the plotted line of genesis desnt.

F=Ma

When F is in the axis (x,y) and mass of the system of the arc must be plotted  F = 0 if a = 0 is considered as the perfectly friction-less ground.

This might be the case, as noted correctly, with such a surface tension opposite our twisting motion, in there is a coercing vertex even when the velocity of the body is zero, that is an example of friction force where the beginning pressure is working against frictional without moving or speeding up the body.

Concerning whatever the students got right, the complete experiment I knew is only evaluated correctly, but some of the suggestions clean the surface before exp, place the oil surface film and doing the experiment on an emptied ship; minimize that friction component.

In which area of the sun does gas rise as it heats up, then fall back down as it cools

Answers

Convection Zone: Just beneath the photosphere, and extending inward to about 0.7 Rsun, is the convection zone. Energy generated in the core of the Sun moves outward through this layer by a boiling motion in which hot plasma rises, releases some of its energy, cools, and then sinks again.

The convection zone is the area of the sun does gas rise as it heats up, then fall back down as it cools.

What is Convection zone?

This part of the Sun is found below the photosphere and helps isn the area where the form of heat transfer known as Convection takes place.

This occurs when heated gases rise up and then falls back when cooled as a result if hot gases being less dense.

Read more about Convection zone here https://brainly.com/question/22542880

How could extreme heat (resulting from Climate Change) affect human and
animal life?

Answers

Answer: See explanation

Explanation:

Climate change, is also referred to as global warming, and it simply means the rise in Earth's average surface temperature.

Effects of climate change include rising sea levels, heat waves, drought, storms, etc.

Extreme heat events is dangerous to the health of both animals and humans. For human beings, it can bring about increase in heat- related illness, weakness, heat stroke and excessive water consumption.

For animals, it can lead to struggling of the animals in losing their excess body heat by evaporation. Other effects include panting, loss of appetite, increased drinking, difficulty breathing, anxious behaviour, and weakness.

A rocket moving around the earth at height "H", If the gravitational acceleration "g1" at height
His of gravitational acceleration 'g at earth surface. If Earth radius is "R", find "H"
using R

Answers

Answer:

At the earth's surface  g = G M / R^2        where G is the gravitational constant

at H       g1 = G M / (R + H)^2         using Gauss' theorem for enclosed mass

g1 = G M / (R^2 + 2 R H)    ignoring H^2 as it is small compared to R^2

g / g1 = (R^2 + 2 R H) / R^2 = 1 + 2 R H

g = g1 + 2 R H g1

g1 - g = - 2 R H     or H = (g1 - g) / 2 R

How do we get heat on Earth? Does thermal energy travel directly from the sun?

Answers

We get heat on earth from the sun. Energy from the sun is transferred through space and through earths atmosphere to the earths surface. And since this warms the earth surface it creates heat.

You instead want to make sure the battery for your string of lights will last as long as possible. A battery will last longer if it powers a circuit with low current. How could you hook up a battery and 2 light bulbs so the least amount of current flows through the battery? Use the measurement tools in the simulation to check your design.

Answers

Answer:

Put the 2 light bulbs in series.

Explanation:

The resistance will be the greatest if you hook up the light bulb in series, and since resistance and current are inversely proportional, the current will be the least as well.

The conversion of thermal energy into mechanical energy requires
a thermometer.
D. Beat engine
C vaporizer.
d thermostat.

Answers

Temperature difference is required, so i’m guessing - a. thermometer - would be required to check that temperature.

(A)
(B)
(C)
(D)
Which graph is a quadratic graph?
OA graph A
OB. graph B
OC graph
OD. graph D

Answers

What you have to show us a photo or else we don’t know

A 0.20-kg block and a 0.25-kg block are connected to each other by a string draped over a pulley that is a solid disk of inertia 0.50 kg and radius 0.10 m. When released, the 0.25-kg block is 0.21 m off the ground. What speed does this block have when it hits the ground?

Answers

Answer:

The answer is "0.2711  m/s".

Explanation:

Potential energy = Kinetic energy + Potential energy

[tex]m_1 gh =\frac{1}{2} m_1v^2 +\frac{1}{2} m_2v^2 + \frac{1}{2} I\omega^2 + m_1gh\\\\[/tex]

[tex](m_1- m_2)gh =\frac{1}{2} m_1v^2 +\frac{1}{2} m_2v^2 +\frac{1}{2} I\omega^2\\\\2(m_1 - m_2)gh = m_1v^2 + m_1v^2 + I\omega^2\\\\solid \ disk (I) = \frac{1}{2} \ \ M r^2 \\\\[/tex]

When there is no slipping, \omega  =\frac{ v]{r}\\\\  

[tex]2(m_1 - m_2)gh = m_1v^2 + m_2v^2 + (\frac{1}{2} Mr^2) (\frac{v}{r})^2\\\\2(m_1 -m_2)gh = m_1v^2 + m_2v^2 + \frac{1}{2} Mv^2\\\\4(m_1 -m_2)gh = 2m_1v^2 + 2m_2v^2 + Mv^2\\\\4(m_1 - m_2)gh = (2m_1 + 2m_2 + M) v^2\\\\[/tex]

[tex]v^2 = \frac{4(m_1 - m_2)gh}{(2m_1 + 2m_2 + M)}v[/tex]

[tex]v^2 = \frac{4 (0.25 \ kg - 0.20 \ kg) (9.8 \frac{m}{s^2}) (0.21 m)}{ (2 \times 0.25 kg + 2 \times 0.20 kg + 0.50 kg)}[/tex]

[tex]=\frac{0.1029}{1.4} \ \ \frac{m^2}{s^2}\\\\=0.0735\ \ \frac{m^2}{s^2}\\\\= 0.2711 \ \frac{m}{s}[/tex]

in a Mercury thermometer the level of Mercury Rises when its bulb comes in contact with a hot object what is the reason for this rise in the level of Mercury​

Answers

Answer:

because thermometric liquid readily expands on heating or contracts on cooling even for a small difference in the temperature of the body.

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In a given triangle, side "a" is 7 inches long and side "b" is 24 inches long. The length of side "c" is Deduce what is meant by the sentence, The willingness of the federal and territorial officials to commit themselves to such an expense, not to mention the cost in lives and property, demonstrated clearly their preferred solution to the Indian problem. A seller uses a periodic inventory system, and on April 4, it sells $5,000 in merchandise on credit (when its cost is $2,400) to a customer on credit terms of 3/10, n/30. On April 5, the customer returns merchandise for a cash refund of $500.Required:Complete the seller's necessary journal entry. please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!! Critically discuss how social media reports on poor gender-based violence The time t required to drive a certain distance varies inversely with the speed, r. If it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour? A. about 2.91 hoursB. about 160.00 hours C. about 22.00 hours D. about 5.50 hours 3. Is freedom of speech even relevant in a functional society? Solve the proportion [tex]\frac{X+1}{3}[/tex] = [tex]\frac{X}{2}[/tex]A).5 B).1 C).10 D).2 Find the slope of the line passing through the points (3,16) (8,18)A) 2/5B)-5/2C)5/2D)-2/5 What type of breakfast offers black pudding, mushroom and tomato or baked beans? A.English breakfast B.Continental breakfast C.American breakfast D.Chinese breakfast The number of chromosomes remains the same in what 1. If segments MN, NO, and MO are tangent to circle P, find x.70x2 mMN-10 m2 m5 m6 m8 m On January 1, 2020, Ann Price loaned $187,825 to Joe Kiger. A zero-interest-bearing note (face amount, $250,000) was exchanged solely for cash; no other rights or privileges were exchanged. The note is to be repaid on December 31, 2022. The prevailing rate of interest for a loan of this type is 10%. The present value of $250,000 at 10% for three years is $187,825. What amount of interest expense should Joe Kiger recognize in 2020?a. $25,000 b. $75,000 c. $56,350 d. $18,783 A box contains 4 marbles: 1 blue, 1 yellow, 1 green, and 1 white. A marble is randomly drawn from the box and a number cube, labeled 1 through 6, is tossed. What is the probability of getting a yellow marble and an odd number? Express as a fraction in simplest form. Cng ty ABC vi ngnh ngh hot ng sn xut, kinh doanh sa v cc sn phm t sa cng nh thit b my mc lin quan ti Vit Nam c hnh thnh t nm 1976, ln mnh v tr thnh doanh nghip hng u ca ngnh cng nghip ch bin sa, hin chim lnh 35% th phn sa ti Vit Nam. Ngoi vic phn phi mnh trong nc vi mng li 244 nh phn phi v gn 140.000 im bn hng ph u 64/64 tnh thnh, sn phm ABC cn c xut khu sang nhiu nc M, Php, Canada, Ba Lan, c, khu vc Trung ng, ng Nam y l ln u tin v duy nht mt cng ty Vit Nam c tp ch chuyn xp hng Forbes Asia ghi nhn v bnh chn.Sau hn 30 nm ra mt ngi tiu dng, n nay ABC xy dng c 8 nh my, 1 x nghip v ang xy dng thm 3 nh my mi, vi s a dng v sn phm, ABC hin c trn 200 mt hng sa v cc sn phm ch lc l sa nc v sa bt; sn phm c gi tr cng thm nh sa c, yoghurt n v yoghurt ung, kem v ph mt. ABC cung cp cho th trng mt nhng danh mc cc sn phm, hng v v qui cch bao b c nhiu la chn nht.Theo thng k s liu mi nht v doanh thu qua cc nm ca nhm sn phm ch lc:Cc SBU ch lc Doanh thu lch s qua cc nm 2017 2018 2019 2020Sa nc 105 140 175 210Sa bt 45 60 75 90SP c gi tr cng thm 300 400 500 600n v: Triu USDTm nhn ca ABC trong tng lai Tr thnh biu tng nim tin hng u Vit Nam v sn phm dinh dng v sc khe phc v cuc sng con ngiS mnh ABC cam kt mang n cho cng ng ngun dinh dng v cht lng cao cp hng u bng chnh s trn trng, tnh yu v trch nhim cao ca mnh vi cuc sng con ngi v x hiGi tr ct li Chnh trc Tn trng - Cng bng o c Tun thTrong mt bi pht biu mi nht ca mnh trn tp ch Kinh t u t vo thng 12 nm 2020 CEO ca ABC cho rng Trong tng lai, ABC s tp trung vo cc chin lc pht trin th trng sang cc quc gia ng Nam , lin kt vng nguyn liu trng c chn nui b c ngun sa sch cho ra i nhng sn phm sa cht lng 100% t thin nhin. Theo s liu thng k doanh thu hin ti nm 2020 l 900 triu USD, trong tng lai n nm 2025 mc tiu chin lc di hn doanh thu ABC phi t 2,5 t USD v ng s 1 thng hiu sa ng Nam Sinh vin tr li cc cu hi sau:1. SV p dng cc cng c phn tch mi trng bn ngoi, phn tch ch ra 15 c hi v nguy c ca ABC ti thi im hin ti (Ch cc ngun thng tin minh chng, trch dn thng tin y nh km) An unforgettable attraction of Barcelona is, Which of the following is equivalent to this expression? Which treatments would MOST LIKELY help a patient diagnosed with a chronic disorder that affects balance and causes periods of hearing loss and ringing in the ears?a. orally and nasally administered corticosteroids that decrease inflammation in mucous membranesb. a low-salt diet along with diuretic drugs that reduce fluid retention in the bodyc. exercise along with antibiotic drugs that kill the bacteria causing the disorderd. antitussive and expectorant drugs, both which help to inhibit coughing reflexes You are using the container below to help you build a sandcastle. How much sand can fit in the container? What is the percent change from 40 to 55? Show calculations and final answer. Round to the nearest percent.