04/13/22

A couple plans to have three children. The 8 different combinations of girls, and boys, the couple could have are shown below. S= {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

A couple plans to have three children. The 8 different combinations of girls, and boys, the couple could have are shown below. S= {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB} Let A be the event that... more
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04/12/22

Collision Momentum
In a collision, an object experiences a force (or impulse) for a certain amount of time, which changes the momentum of the object. When an impulse is encountered, the object’s mass either speeds up... more
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04/12/22

Engineers must consider

Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the population of potential clientele have head diameters that are normally... more
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04/12/22

For what value of the constant c is the function f continuous on (-infinity, infinity)?
f(x) = cb + 5 if x < 9 and f(x) = cb^2 - 5 if x ≥ 9
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04/11/22

math calculus 2

The acceleration function (in m/s2m/s2) and initial velocity for a particle moving along a line is given by a(t)=2t+8,v(0)=10,0≤t≤10.a(t)=2t+8,v(0)=10,0≤t≤10.(a) Find the velocity (in m/s) of the... more
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04/11/22

The equation for the tangent line
Use implicit differentiation to find an equation of the tangent line to the ellipse defined by 3x^2+5xy+3y^2=53 at the point (-5,1) .
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04/11/22

chemistry - conversion rate

Solid carbon (C) and water vapor (H2O) react to form gaseous carbon monoxide (CO) and dihydrogen gas (H2). The reaction is endothermic. In a closed system, an equilibrium mixture of the four... more
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04/11/22

Equilibrium concentration
The value of the equilibrium constant Ke for the decomposition of the gas diiodine I2 in iodine atoms is 3.6 x 10^-10 at a specific temperature. Calculate the equilibrium concentration of the... more
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04/11/22

The kinematic equation for the coordinate x(t) of a moving particle is given in the following implicit form: sin(x) = t 2 + t

The kinematic equation for the coordinate x(t) of a moving particle is given in the following implicit form: sin(x) = t 2 + t Find all possible values for the velocity vx and the acceleration ax of... more
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04/11/22

Find the standard form of the equation of the parabola with the given characteristics. Focus: (0, 0); directrix: y = 2

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04/11/22

Write the given expression in terms of x and y only. tan(sin^−1(x) + cos^−1(y))
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04/10/22

chemistry question, please help
Liquid octane CH3CH26CH3 will react with gaseous oxygen O2 to produce gaseous carbon dioxide CO2 and gaseous water H2O. Suppose 2.3 g of octane is mixed with 2.00 g of oxygen. Calculate the maximum... more
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04/10/22

LOTR Probability Question
In an adventure, Thranduil has five ruby swords, three diamond swords, and two elven swords. From his travel an orc suddenly appeared, he pulls out two swords at random. Find the probability that... more
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04/10/22

Probability question: hitting the target
The probability of an archer to hit the target is 0.85. The archer keeps shooting until he hits the target, but not more than 5 times. What is the probability that he shot not less than 3 times?
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04/09/22

An investment of $6,650 is made in an account compounded continuously at 5.7%. How much will the investment be worth in 10 years?
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04/09/22

Find the angle and length in a given scenario
You are going to install a wheelchair ramp over a straight, horizontal path that runs from the sidewalk to your deck. Your deck is 1.5 feet higher than the path and you want the grade of the ramp... more
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04/08/22

Find a unit vector orthogonal to the vectors 6𝐢+7𝐣+2𝐤 and 4𝐢+7𝐣+7𝐤 with non‑negative first coordinate. (Write your solutions using the standard basis vectors 𝐢, 𝐣, and 𝐤)
I need help approaching this problem!
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04/08/22

The height, h, of the piston in a car engine is given by h = sin x + √(16-cos^2), where 𝑥 is the angle of rotation of the crankshaft. Determine a formula for the velocity of the piston.
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04/08/22

A copper is placed in the center of an air gap between two magnetic poles, as shown in the figure.

A copper is placed in the center of an air gap between two magnetic poles, as shown in the figure. The field is confined to the gap and has a strength of 1.6 T. a. Determine the force on the wire... more
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04/07/22

Carbon-14 commonly used for dating historical artifacts, is a radioactive isotope that is present in organic materials. Carbon-14 has a half-life of 5730 years.
If a bone fragment is found that contains 70% of its original carbon-14,how old is the bone?
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04/07/22

One mole of ideal monoatomic gas is mixed with four moles of diatomic gas. What is γ for the mixture? (γ denotes the ratio of specific heat at constant pressure, to that at constant volume)
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04/06/22

Willis Tower is a 442 meter tall, 108 story skyscraper.
The elevator can reach the skydeck on the 103rd floor in about 60 seconds. Determine the power used by the motor to lift 11 physics students. The mass of the passengers & elevator is 1300 kg.
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04/06/22

A particle moves according to the law of motion with the function s(t)=(t^2)(e^-t) where S is measured in seconds and T is measured in feet
s(t)=(t^2)(e^-t)(a) Find the velocity at time t.(b) What is the velocity after 3 seconds?(c) When is the particle at rest?(d) When is the particle moving in the positive direction?
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04/05/22

Find the equation of a parabola with a focus at (4,–1) and a directrix at y = –3, and graph it on a coordinate plane.
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04/05/22

Probability of a poker hand
Five cards are drawn from a shuffled deck of 52 cards without replacement.What is the probability that the five cards will display a full house (three of a kind and two of a kind)?Explain your answer. more
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