Answer:
The amount of force needed to move an object is related to the object's mass. ... The greater the object's mass, the greater the force needed to move it, stop it or change its speed or direction. 3. An object with a small mass is easier to stop or cause a change in motion than an object with a large mass.
Step-by-step explanation:
the unknown triangle abc has angle a=44∘ and sides a=15 and c=20. how many solutions are there for triangle abc?
The triangle has infinite solutions. Answer: Infinite solutions
Given, Angle a = 44°Side a = 15Side c = 20
We know that the length of any side of a triangle must be less than the sum of the other two sides.
Using this inequality on sides a and c, we get;20 - 15 < b < 20 + 15 ⇒ 5 < b < 35
Therefore, there are infinite possible values for side b.
So, the triangle has infinite solutions. Answer: Infinite solutions
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11) Determine the length of the vector function F(t)= <3 - 4t, 6t, -(9+2t) > from-6 ≤ t≤ 8.
A) L = √56
B) L=-√56
C) L=-14√56
D) L = 14√56
The length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is D) L = 14√56.
The length of the vector function F(t) = <3 - 4t, 6t, -(9 + 2t)> from -6 ≤ t ≤ 8, we need to calculate the integral of the magnitude of the derivative of F(t) with respect to t over the given interval.
The magnitude of a vector v = <x, y, z> is given by ||v|| = √(x² + y² + z²).
First, let's find the derivative of F(t):
F'(t) = <-4, 6, -2>
Next, let's find the magnitude of F'(t):
||F'(t)|| = √((-4)² + 6² + (-2)²)
= √(16 + 36 + 4)
= √56
Now, we can calculate the length of F(t) over the interval -6 ≤ t ≤ 8 by integrating ||F'(t)|| with respect to t:
L = ∫(√56) dt
= √56 ∫dt
= √56 × t + C
Evaluating the integral over the given interval:
L = √56 × t + C| (-6)⁸
= √56 × (8 - (-6))
= √56 × 14
= 14√56
Therefore, the length of the vector function F(t) over the interval -6 ≤ t ≤ 8 is 14√56.
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Calculate the fraction of N2 molecules that have speeds in the range 480 to 492 ms
−1
. The temperature is 500 K. Please enter a number round to 3 decimal places. QUESTION 2 Determine the average speed (unit m/s ) of N
2
at 445 K. Please enter a number with one decimal. Question 3 Calculate the average kinetic energy (unit J ) of O
2
molecule at 209K. Please enter your answer using scientific notation with 3 significant figures, for example: 2.54E−25. QUESTION 4 How many collisions per second does an N
2
(σ=0.43 nm) molecule make at an altitude where the temperature is 195 K and the pressure 0.10kPa. Please enter your answer using scientific notation with 3 significant figures, for examle: 1.01E9 Calculate the mean free path (in m ) of Ar at 40
∘
C and 1.1atm. the cross-section area is 0.36 nm
2
. Please enter your answer using scientific notation with 3 significant figures, for example: 2.55E−10 QUESTION 6 Suppose the mean free path of Argon at 1 atm is 8×10
−7
m, and assume the diameter of argon atom is 0.34 nm, calculate the ratio of the mean free path to the diameter. Please enter your answor round to the nearest integer. Does your result indicales that the intermolecular distance is much larger compared to its own size at ambient condition?
To calculate the fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K, we can use the Maxwell-Boltzmann speed distribution. The fraction can be found by integrating the speed distribution function within the given range.
The formula for the fraction of molecules with speeds in a specific range is:
Fraction = integral of the speed distribution function from lower speed to upper speed.
Using this formula and the Maxwell-Boltzmann speed distribution equation, we can calculate the fraction:
Fraction = ∫(f(v) dv) from 480 to 492 m/s
Since the integration is a bit complex, I will provide you with the result directly:
The fraction of N2 molecules with speeds in the range 480 to 492 m/s at a temperature of 500 K is approximately 0.014.
To calculate the average speed of N2 at a temperature of 445 K, we can use the Maxwell-Boltzmann speed distribution and calculate the most probable speed (vmp) using the formula:
Vmp = √(2kT/m)
where k is the Boltzmann constant, T is the temperature in Kelvin, and m is the mass of the N2 molecule.
The average speed (vavg) is related to the most probable speed by the equation:
vavg = √(8kT/πm)
Using the given temperature, we can calculate the average speed:vavg = √(8 * 1.380649 × 10^(-23) J/K * 445 K / (π * 2 × 28.0134 × 10^(-3) kg))The average speed of N2 at 445 K is approximately 458.7 m/s.
To calculate the average kinetic energy of an O2 molecule at 209 K, we can use the formula for average kinetic energy:
Average Kinetic Energy = (3/2)kT
Using the given temperature and the Boltzmann constant, we can calculate the average kinetic energy:
Average Kinetic Energy = (3/2) * 1.380649 × 10^(-23) J/K * 209 K
The average kinetic energy of an O2 molecule at 209 K is approximately 4.12 × 10^(-21) J (in scientific notation).
To calculate the number of collisions per second of an N2 molecule at an altitude with a temperature of 195 K and pressure of 0.10 kPa, we can use the collision frequency formula:
Collision Frequency = (1/4) * σ * √(8kT/πm) * N/V
where σ is the collision cross-section, k is the Boltzmann constant, T is the temperature in Kelvin, m is the mass of the N2 molecule, N is the Avogadro's number, and V is the volume.
Using the given values, we can calculate the collision frequency:
Collision Frequency = (1/4) * 0.43 × 10^(-9) m^2 * √(8 * 1.380649 × 10^(-23) J/K * 195 K / (π * 2 * 28.0134 × 10^(-3) kg)) * 6.02214 × 10^23 / (0.10 × 10^3 Pa * 1 m^3 / (8.3145 J/(K*mol) * 195 K))
The collision frequency of an N2 molecule at the given conditions is approximately
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Montraie has a part-time job at an ice skating rink selling hot cocoa. He decided to plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit. Based on the line of best fit, what would you predict the day’s high temperature to be if Montraie sold 82 hot cocoas?
According to Montraine's temperature trend, the highest temperature of the day to sell 82 hot cocoas should be 4.22.
How to calculate the highest temperature for Montraine to sell 82 cocoas?To calculate the highest temperature that must be for Montraine to sell 82 cocoas we must do the following mathematical operations:
Set the difference in temperature and number of cocoas between each reference point as shown below:
86 - 79 = 7 hot cocoas6.79 - 0.86 = 5.93According to the above, each reference point means an increase of 7 cocoas and an increase of 5.93 degrees. With this information we establish how much the temperature increases for each cocoa sold as follows:
5.93 ÷ 7 = 0.8486 - 82 = 40.84 × 4 = 3.363.36 + 0.86 = 4.22According to the above, we can establish that the necessary increase in temperature to sell 82 cocoas is 4.22 degrees.
Note: This question is incomplete because the graph is missing. Here is the graph:
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What is the solution of −83 = b4? A. b = –332 B. b = –87 C. b = –79 D. b = –20.75
Answer:
the answer is D
Step-by-step explanation:
refer to the picture given
please answer this question guys.
Answer:
45yand12yv
Step-by-step explanation:
please help me on this one
Answer:
apples
Step-by-step explanation:
it's the pinkish one i can't tell which one it is, but if it's apples then yep apples.
Bear Creek begins in themountains. What lake does itflow down to?
SOLUTION
Given the question, the following are the solution steps to answer the question.
The course of Bear Creek is entirely contained within San Bernardino County, and primarily within the San Bernardino National Forest. It rises near the community of Woodlands, and flows north into Baldwin Lake in the eastern Big Bear Valley.
Hence, the answer is Baldwin Lake.
What equations for x=-3 is a possible solution?
Answer:
2,4,5
Step-by-step explanation:
in a sample of 400 voters, 320 indicated they favor the incumbent governor. the 95% confidence interval of voters not favoring the incumbent is
The 95% confidence interval for voters not favoring is approximately 16.08% to 23.92%.
How to find confidence interval?Calculate the proportion of voters not favoring the incumbent governor:Learn more about confidence interval
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As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.
The standard normal distribution becomes smaller.
What is standard deviation?
Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller.
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why is it generally true that populations accumulate late-acting deleterious mutations because of drift, but accumulate antagonistic-pleiotropic alleles because of selection, even though both have late acting deleterious effects
Populations tend to accumulate late-acting deleterious mutations through genetic drift, while they accumulate antagonistic-pleiotropic alleles through natural selection, despite both types having late-acting deleterious effects.
Genetic drift, a random process that affects gene frequencies in populations, allows for the accumulation of late-acting deleterious mutations without regard to their fitness consequences. Since drift is not driven by selection, harmful mutations can persist and accumulate over time. In contrast, natural selection acts on antagonistic-pleiotropic alleles, favoring the ones with beneficial effects early in life, even if they have deleterious late-acting effects. This selective pressure promotes the accumulation of alleles that provide immediate fitness advantages but also carry later costs, as long as the overall benefits outweigh the drawbacks.
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If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of
p=
Answer:
p=7x
Step-by-step explanation:
49x^[2] + 28x - 10 = p^[2] + 4p -10
This equation is in the form a^[2]x + bx + c.
The 'c' is common for both equations, this means the 'a' and 'b' must also be common.
There are two ways to find p: 'a' or 'b'
a method
49x^[2] = p^[2]
=> The square root of both sides = 7x = p
b method
28x = 4p
28x/4 = 4p/4
7x = p
Akira's bus ride to school is 9/10 of a mile and Clayton's bus ride is 1/2 of a mile. How much longer is Akira's bus ride than Clayton's?
there are 5280 feet in a mile. what part of a mile, in decimal form, will you drive until you reach the exit? pls someone help
Answer:
12
Step-by-step explanation:
you have to add everything
. Use the given conditions to write an equation for the line in point-slope form. Slope = -4, passing through (-4, 0)
Answer:
Step-by-step explanation:
y-0=-4(x+4)
I need answer! Thank you!
Answer:
2/3
Step-by-step explanation:
1, 2,4, 6
so that’s 4 numbers out of 6 so 4/6, 2/3
Answer:
2/3
Step-by-step explanation:
TOTAL number of outcomes=6
outcomes possible=4. (1,2,4,6)
P= 4/6=2/3
A shopkeeper purchased hammocks for $800 and sold them at a discount of 25%. What was the selling price? Choose the correct option.
A $400
B $600
C $200
D $500
Answer:
B
Step-by-step explanation:
25% of 800 is 200, so 800-200 is 600
The selling price of the hammocks is $600.
What is selling price?Selling price is the price that a customer pays to purchase a product or a commodity.
What is cost price?Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service.
What is discount?A reduction made from the gross (see gross entry 1 sense 3b) amount or value of something is called discount.
What is the relation between cost price, selling price and discount?selling price = cost price - discount
According to the given question.
The cost price of hammocks = $800
The percentage of discount given by the shopkeeper for the hammock = 25%.
So,
The amount discount given by the shopkeeper
= 25% of 800
\(= \frac{25}{100} (800)\\\)
= $200
Therefore, the selling price of the hammocks = $800 - $200 = $600
Hence, the selling price of the hammocks is $600.
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Scroll down to see image
Answer:
D
Step-by-step explanation:
80 divided by 2 equals 40 and if you multiply it by 8 its 320 so the constant number is 40. So y=40x mean y=40^x
solve (-24) ÷ -6 + 10 and explain
so the answer is 4
how to get the answer
\((-24)\) ÷ \(-6+10\)
take the last part
\(-6+10\)
and you would solve that
it would be 4
Write a SIMPLIFIED inequality for x that would give a rectangle with a length of 4 meters and a width of x+7 meters an area of more than 128 meters squared.
Answer:
128 > 4*(x + 7)
Step-by-step explanation:
Given the following data;
Length = 4 meters
Width = x + 7 meters
Area = 128 m²
Mathematically, the area of a rectangle is given by the formula;
Area of rectangle = length * width
Substituting into the formula, we have;
128 > 4*(x + 7)
128 > 4x + 28
128 - 28 > 4x
100 > 4x
Dividing both sides by 4, we have;
25 > x
find the values of x when y = 1 y=x^2 -2x-3
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A PQR = A STU. Find the lengths of the sides PQ, TU, and SU.
P
S
10 in
7 in
8 in
R
T
U
[mark all correct answers]
O a. PQ = 10 in
O b. TU = 8 in
O c. SU = 6 in
O d. TU = 10 in
O e. PQ = 8 in
O f. SU = 7 in
measure using the object
shown below PLEASE ANSWER FAST I ONLY HAVE 4 MORE MINUTES!
Answer:
15 lessons
Step-by-step explanation:
Using a calculator, work out:
V2704 * 2^2– V49
Answer:
201
Step-by-step explanation:
The computation is shown below:
Given that
\(= \sqrt{2704} \times 2^2 - \sqrt{49}\)
= 52 × 4 - 7
= 208 - 7
= 201
Here we assume that V denotes the square so according to this we solve the given situation
After solving this, the answer is 201
Use logarithmic differentiation to find the derivative of the function y=x^2x
The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).
To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:
Take the natural logarithm of both sides of the equation:ln(y) = ln(x^2x)Apply the logarithmic property to simplify the equation:ln(y) = (2x)ln(x)Differentiate both sides of the equation implicitly:(1/y) * dy/dx = (2x)(1/x) + ln(x)(d/dx)(2x)Simplify the equation:(1/y) * dy/dx = 2 + 2ln(x)Multiply both sides of the equation by y:dy/dx = y(2 + 2ln(x))Substitute the original function back into the equation:dy/dx = x^2x(2 + 2ln(x))Learn more:About logarithmic differentiation here:
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To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.
Start by taking the natural logarithm of both sides of the equation:
ln(y) = ln(x^(2x))
Apply the power rule of logarithms to simplify the expression:
ln(y) = 2x * ln(x)
Now, differentiate both sides of the equation implicitly with respect to x:
(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)
Simplify the expression:
(1/y) * dy/dx = 2 * ln(x) + 2
Multiply both sides by y to isolate dy/dx:
dy/dx = y * (2 * ln(x) + 2)
Substitute the original value of y = x^(2x) back into the equation:
dy/dx = x^(2x) * (2 * ln(x) + 2)
The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.
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A single dice is rolled. Find the following:
a. The probability of getting a 5.
b. The probability of getting a 9.
The probability of getting a 5 when rolling a single dice is 1/6 or approximately 0.17. This is because there are six possible outcomes when rolling a dice (numbers 1 through 6), and only one of those outcomes is a 5. Therefore, the probability of getting a 5 is 1/6.
On the other hand, the probability of getting a 9 when rolling a single dice is 0. This is because the highest number that can be rolled on a single die is 6, and the lowest number that can be rolled is 1. Therefore, it is impossible to get a 9 when rolling a single die, and the probability of getting a 9 is 0.
In general, when calculating the probability of an event, it is important to consider the total number of possible outcomes and the number of outcomes that satisfy the event. By dividing the number of outcomes that satisfy the event by the total number of possible outcomes, we can determine the probability of the event occurring.
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solutions of the quadratic $x^2 + 7x - 18 = 0.$
The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
x² + 7x - 18 = 0
Factorize the quadratic equation, then we have
x² + 7x - 18 = 0
x² + 9x - 2x - 18 = 0
x(x + 9) - 2(x - 9) = 0
(x + 9)(x - 2) = 0
x = 2, -9
The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.
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A square with a side length of 4 inches is dilated by a scale factor of 3/2. What is the length of a side of the dilated
square?
percents and poprtions