Answer:
114
Step-by-step explanation:
If this answer helped you then please mark it as brainliest so I can get to the next rank
On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/h and saved 15 minutes. Find Ali's average speed for the whole journey.
Answer:
3.08 km/h.
Step-by-step explanation:
We know that,
\(Speed=\dfrac{Distance}{Time}\)
Ali traveled at a speed of s km/h for 2.5 hours.
Let d be the distance and t be the time.
\(2.5=\dfrac{d}{t}\)
\(2.5t=d\) ...(1)
On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.
\(4=\dfrac{d}{t-15}\)
\(4(t-15)=d\) ...(2)
From (1) and (2), we get
\(4(t-15)=2.5t\)
\(4t-60-2.5t=0\)
\(1.5t=60\)
\(t=40\)
Put t=40 in (1).
\(d=2.5(40)=100\)
So, t=40 and d=100.
Now,
Total distance = d + d = 100 + 100 = 200
Total time = t + t - 15 = 40 + 40 - 15 = 65
So, the average speed is
\(\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}\)
\(\text{Average speed}=\dfrac{200}{65}\)
\(\text{Average speed}\approx 3.08\)
Therefore, the average speed is 3.08 km/h.
Whats this answer i need help please .
Evaluate the expression when x-6
5x + 3
———-
3
Please explain too! I will give Brainiest
Translate this phrase into an algebraic expression. 9 increased by twice a number
use the variable n to represent the unknown number
the variables r and s are inversely proportional, and r=7 when s=6. determine s when r=10.
If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .
When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :
⇒ r × s = k, where k is a constant ;
the value of variable "r" = 7 when s = 6,
First , we have to find the value of k:
⇒ k = r × s = 7 × 6 = 42 ;
So, for any value of r and s, the product "rs" will always be equal to 42.
When r = 10, we can use the equation to find s:
⇒ s = k/r = 42/10 = 4.2
Therefore , when r = 10 , the variable "s" is 4.2.
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Vector subtraction is done by arranging {{c1::head to head}}
Vector subtraction is done by arranging head to tail.
Vector subtraction is the process of finding the vector that results from taking away one vector from another. To perform vector subtraction, we arrange the vectors head to tail, with the tail of one vector touching the head of the other vector. We then draw a new vector from the tail of the first vector to the head of the second vector. The resulting vector is the difference between the two vectors. This can be mathematically represented as:
a - b = a + (-b)
where "a" and "b" are vectors, and (-b) is the additive inverse of b, which is the vector with the same magnitude as b but opposite in direction.
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find f(-2) if f(x) = -3x + 5
Answer:
11
Step-by-step explanation:
Answer:
f(-2) = 11
Step-by-step explanation:
Given the function, f(x) = -3x + 5:
We can evaluate f(-2) by substituting -2 as the input (or x-value) for the function:
f(-2) = -3x + 5
f(-2) = -3(-2) + 5
f(-2) = 6 + 5
f(-2) = 11
Therefore, f(-2) = 11.
A fisherman is measuring the amount of bait he has remaining, y, in his bucket. He puts 30 pieces of bait in his bucket at the beginning of his fishing trip and uses 4 pieces every hour, x. What is the slope for this linear relationship, and what does it mean in this situation?
−4; the amount of bait decreases by 4 pieces each hour
4; the amount of bait increases by 4 pieces each hour
−30; the amount of bait in the bucket when the fishing trip began
30; the amount of bait in the bucket when the fishing trip began
Answer:
−4; the amount of bait decreases by 4 pieces each hour
Step-by-step explanation
Answer:
−4; the amount of bait decreases by 4 pieces each hour
Step-by-step explanation:
I did the exam and got it right .
hope this helps you! have a Great day!
which ones of these are functions and which ones are not.
Answer:
A,B,C are not functions D,E are functions
Step-by-step explanation:
infinite limits algebraic
Answer:
B is your answer
Step-by-step explanation:
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HELP PLEASE.. ............
I'm sooooooooooooo bour.....?......
What will the dividend income be on W number of shares of XYZ stock if XYZ distributes a $Y per share dividend?
Answer:
In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.
Step-by-step explanation:
The dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend. This is because the dividend income is calculated by multiplying the number of shares that an investor owns by the amount of the dividend per share.
For example, if an investor owns W = 100 shares of XYZ stock and XYZ distributes a $Y = 5 per share dividend, then the investor's dividend income will be 100 * 5 = 500 dollars.
In general, the dividend income on W number of shares of XYZ stock will be W * Y dollars if XYZ distributes a $Y per share dividend.
The Einstein relation a) (5 pts) Recall ⟨v
0,x
2
⟩=
m
k
B
T
in one dimension. If L is the step size between collisions and Δt is the time between collisions, we can write ⟨v
0,x
2
>=(
Δt
L
)
2
. Using these relationships along with γ=
Δt
2m
and D=
2Δt
L
2
, which were derived in class, show how γD=k
B
T. b) (1 pt) What is the dependence of γD on m ? c) (6 pts) Imagine there are two spherical particles in the same solution. One of the particles is bigger than the other. Which one will have a greater value of k
B
T ? Which one will have a greater γ ? Which one will have a greater D (where D refers to the diffusion constant not diameter)? Justify your reasoning for each case.
(a) Both particles have the same value of k_B T.
(b) The smaller particle has a greater value of γ.
(c) The smaller particle has a greater value of D.
a) To show γD = k_B T, we start with the given relations:
⟨v0,x^2⟩ = (Δt/L)^2
γ = Δt/(2m)
D = (2Δt)/(L^2)
Substituting the expression for γ into the equation for D:
D = (2Δt)/(L^2) = (2Δt)/(L^2) * Δt/(2m) = (Δt^2)/(mL^2) = γ^2/m
Now, multiplying γ and D:
γD = γ * D = γ^2/m = (Δt/(2m))^2/m = Δt^2/(4m^2) = (1/4m) * (Δt^2/m) = (1/4m) * γ = (1/4m) * (Δt/(2m)) = (k_B T)/(4m)
Since k_B T is the average kinetic energy per degree of freedom and (1/4m) is the average kinetic energy per particle, we can equate γD and k_B T:
γD = k_B T
b) The dependence of γD on m is 1/m. As we can see from the equation γD = (k_B T)/(4m), as the mass (m) increases, the value of γD decreases.
c) When comparing two spherical particles in the same solution:
Greater value of k_B T: Both particles will have the same value of k_B T since it depends on temperature (T) and is independent of the size or mass of the particles.
Greater value of γ: The smaller particle will have a greater value of γ. As γ = Δt/(2m), since the mass of the smaller particle is smaller, the value of γ will be greater.
Greater value of D: The smaller particle will have a greater value of D. As D = (2Δt)/(L^2), since the time between collisions (Δt) will be smaller for the smaller particle due to its faster movement, the value of D will be greater.
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What is the inverse function? Can any math experts help please
Answer:
f^-1(x) = (4x + 3)^2
To solve this problem you need to interchange the variables then solve for y.
In this case, there is no inverse for this equation.
What is the length of one leg of the triangle? 5 startroot 5 endroot 5 startroot 10 endroot 10 startroot 5 endroot 10 startroot 10 endroot
The answer is (2) 5 StartRoot 10 EndRoot. The is the length of one leg of the triangle is \(5\sqrt{10}\).
we know that
The legs of a 45°-45°-90° triangle are congruent.
Let x > the length of one leg of the triangle, so
Applying the Pythagorean Theorem:
\(c^{2} =a^{2}+ b^{2}\)
where,
c is the hypotenuse.
a and b are the legs.
And we have: c = \(10\sqrt{5}\) units.
a = b = x units.
substitute
\((10\sqrt{5} )^{2}\) = \(x^{2} +x^{2}\)
500 = \(2x^{2}\)
\(x^{2}\) = 250
\(x\) = \(\sqrt{250}\) units.
\(x\) = \(5\sqrt{10}\) units.
Full Question:
The hypotenuse of a 45°-45°-90° triangle measures 10 StartRoot 5 EndRoot in. A right triangle is shown.
The hypotenuse has a length of 10 StartRoot 5 EndRoot and the lengths of the other 2 sides are congruent.
What is the length of one leg of the triangle?
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can you help me please
Answer:
5.
A) 1:2
6.
D) 9 min
Plz make brainlest, THESE ARE THE CORRECT ANSWERRRRSS!
Step-by-step explanation:
5. 12:24
reduce to get 1:2
6. 225/25= 9 min
1. What must be true in order for triangles DEF and ABC to be similar? Be very specific about the
properties of the angles and sides of these two triangles.
с
F
A
B
D
E
Answer/Step-by-step explanation:
For ∆ABC and ∆DEF to be similar the following must be true:
1. ∠A ≅ ∠D
2. ∠B ≅ ∠E
3. ∠C ≅ ∠F
4. The ratio of the length of their corresponding sides must be equal and proportional.
That is:
\( \frac{\overline{AB}}{\overline{DE}} = \frac{\overline{BC}}{\overline{EF}} = \frac{\overline{AC}}{\overline{DF}} \)
If all these are true, then ∆ABC ~ ∆DEF, because the corresponding angles of two similar shapes are equal, while the ratio of their corresponding side lengths are equal.
What is the slope of this line?
A.) −1/2
B.) 1/2
C.) 2
D.) I don't know.
Answer:
2
Step-by-step explanation:
Sam is needing to make copies of a flyer for his new business. Store W charges $5 for unlimited copies and store Z charges $0.20 per copy and $2 for using the machine.
How many copies makes both stores cost the same amounts?
Answer:
15 dollars
Step-by-step explanation:
Store W charges 5 dollars for unlimited copies, so the number of copies does not matter for store W.
Because store W offers unlimited copies for $5, that will be the amount that store Z has to charge to be the same amount.
Now, we know that store Z charges you 2 dollars at the start for the use of the machine, so you subtract from the total amount from store W, 5 dollars.
5-2=3
So now you have 3 dollars to pay for the copies from store Z.
Each copy from store Z costs $.20.
Divide 3 by .20
3/.20=15
Bernie wants to write equations in the form y=mx+by=mx+b for the lines passing through point pp that are parallel and perpendicular to line rr. First he finds the slopes of these two lines. What could he do next to find the yy-intercepts?.
The next step to find the y intercepts is the substitute the value of m2 and coordinate of point P in the equation of the line intercepts from equation y= mx + b and then solve for b in each equation.
Bernie wants to write equations in the form of y=mx+b where m stands for slope. The line passing through the point P and that is perpendicular to the s and parallel to the line r.
we are aware that if two lines are parallel then the slopes are equal.
So, m1=m2
and if two lines are perpendicular then product of slopes equal to -1
m1×m2=-1
the y intercepts are the point of intersection between the straight line.
y = mx +b and the y axis. The y intercepts value of y when x=0.
The next step to find the y intercepts is the substitute the value of m2 and the coordinate of point P in the equation of the line intercept from equation y=mx +b and then solve for b in each equation.
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Simplify the expression 36 + 63 ÷ 9.
If xy e^y = e, find the value of y^n at the point where x 0.
There is no value of implicit differentiation where the given situation can be satisfied.
The given equation is: xy * e^y = e
We want to find the value of y^n at the point where x=0.
1. Rewrite the equation: xy * e^y = e
We have an equation involving both x and y. To find the value of y^n at x=0, we need to implicitly differentiate the equation with respect to x.
2. Implicit differentiation:
To implicitly differentiate the equation, we treat y as a function of x and use the chain rule. Differentiating both sides of the equation with respect to x, we get:
d/dx (xy * e^y) = d/dx (e)
Using the product rule on the left side, we have:
y * d/dx (x * e^y) + x * d/dx (e^y) = 0
The derivative of e^y with respect to x can be found using the chain rule:
d/dx (e^y) = d/dy (e^y) * dy/dx = e^y * dy/dx
3. Plug in x=0:
Now, let's plug in x=0 into the equation. We have:
y * d/dx (0 * e^y) + 0 * d/dx (e^y) = 0
Simplifying, we get:
y * (0 * e^y) + 0 * (e^y * dy/dx) = 0
Since any number multiplied by 0 is 0, the equation becomes:
0 + 0 = 0
So, we have 0 = 0, which is a true statement.
4. Conclusion:
From the result 0 = 0, we can conclude that the equation holds when x=0. However, this doesn't provide any specific value for y or y^n at x=0.
Therefore, the original question of finding the value of y^n at x=0 cannot be determined solely from the given equation. The equation does not provide enough information to solve for a specific value of y or y^n at x=0.
In summary, there is no value for y^n at the point where x=0 in the given situation because the equation cannot be satisfied at x=0.
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I NEED HELPPPPP ASAPP!!!
Answer:
Step-by-step explanation:
IT is 0.5 and 10
answer:
0.5 and 10 are the answers
You have a 24-foot wide board. The board is cut into 10 equal sections. How
wide is each section?
Answer: ______ feet
Answer:
the board is 2.4 ft
Step-by-step explanation:
because 24/10 is 2.4
1. a certain college wants to estimate the amount of time students, who live off campus, spend commuting to classes each week. a random sample of 45 off-campus students is surveyed. a) identify the population and sample for this study. b) what data is being collected? what type of data is this? c) what type of study is this?
The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.
a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.
b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.
c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.
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a culture of bacteria has an initial population of 8600 bacteria and doubles every 5 hours. using the formula p t
The exponential growth formula for bacteria growth is P(t) = 8600 \((2)^(t/5)\).
What is exponential growth?
Exponential growth is a pattern of data that exhibits a greater increase over time, resulting in an exponential curve. Exponential is also a mathematical term meaning "with exponents". For example, if you raise a number to the 10th power, the number increases exponentially. Exponential growth is growth that increases at a constant rate.
Here given take Initial number of bacteria = 8600. rate of growth = 2.
It doubles every year. Then doubling time = 5 hours.
Now population growth after t years,
P(t) = Po \((2)^(t/5)\)
=> P(t) = 8600 \((2)^(t/5)\)
Therefore exponential growth formula is P(t) = 8600 \((2)^(t/5)\).
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Please help me with this special right triangles/ trigonometry area
Answer: 1st 173 2nd 396
Step-by-step explanation: I hope this helps!
Use the Integrating Factor Method to solve the following differential equations: x⁴ dy/dx + 2x⁴y = x⁴e⁻ˣ
a) Rewrite the equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution.
The equation in Standard Form. b) Identify P(x). c) Identify Q(x). d) Evaluate Integrating Factor. e) Solve for the general solution are given below:
a) Rewrite the equation in Standard Form:
To rewrite the equation in standard form, divide the entire equation by x⁴:
dy/dx + 2y = e^(-x)
b) Identify P(x):
In standard form, the coefficient of the y term is 2, which is the function P(x). So, P(x) = 2.
c) Identify Q(x):
In standard form, the right-hand side of the equation is e^(-x), which is the function Q(x). So, Q(x) = e^(-x).
d) Evaluate the Integrating Factor:
The integrating factor (IF) is given by the exponential of the integral of P(x) with respect to x. In this case, the integrating factor is:
IF = e^(∫P(x)dx) = e^(∫2dx) = e^(2x)
e) Solve for the general solution:
Multiply the entire equation by the integrating factor (IF = e^(2x)):
e^(2x) * (dy/dx + 2y) = e^(2x) * e^(-x)
Simplify the left side by applying the product rule of exponents:
(e^(2x) * dy/dx) + 2y * e^(2x) = e^(x)
Notice that the left side is now in the form (f(x)g(x))' = f'(x)g(x) + f(x)g'(x), where f(x) = y and g(x) = e^(2x). Apply the product rule and simplify further:
(d/dx)(y * e^(2x)) = e^(x)
Integrate both sides with respect to x:
∫(d/dx)(y * e^(2x)) dx = ∫e^(x) dx
Integrating the left side gives:
y * e^(2x) = ∫e^(x) dx = e^(x) + C₁, where C₁ is the constant of integration.
Finally, solve for y by dividing both sides by e^(2x):
y = (e^(x) + C₁) / e^(2x)
This is the general solution to the given differential equation using the Integrating Factor Method.
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Nate has cards with different letters of the alphabet on them. He sorts the cards and determines that 8% of the letters on the cards are vowels. Nate has 6 vowel cards.
How many cards are there in all?
Select from the drop-down menu to correctly complete the sentence.
(48) (75) (133)
answer quickly please!
What are the 4 ways to solve an equation?
Answer: 4 ways of solving one-step equations are the following: Adding, Substracting, Multiplication and Division. If we add the same number to both sides of an equation, both sides will remain equal.
Step-by-step explanation:
Adding, Substracting, multiplication and division
What methods are there for solving equations?We have four methods for solving one-step equations: adding, subtracting, multiplying, and dividing. Both sides of an equation will stay equal if we add the same integer to both sides. Both sides of an equation will stay equal if we deduct the same integer from both sides. To solve systems of equations, three approaches are used: graphing, substitution, and elimination.
Fong, Alissa. A system of equations is made up of two or more equations with the same variables. A solution to an equation system is the point at which the lines intersect. Graphing, substitution, elimination, and matrices are the four methods for solving systems of equations.
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