Answer:
first option
Step-by-step explanation:
I don't know how to explain
A triangular prism is 12 meters long and has a triangular face with a base of 8 meters and a height of 9 meters. What is the volume of the triangular prism?
The volume of the triangular prism is 216 cubic meters.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.
Calculate the area of the triangular base.
The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.
Plugging in the values, we get:
Area = (1/2) * 8 meters * 9 meters = 36 square meters.
Multiply the area of the base by the length of the prism.
The length of the prism is given as 12 meters.
Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.
Adjust for the shape of the prism.
Since the prism is a triangular prism, we need to divide the volume by 2.
Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.
Therefore, the volume of the triangular prism is 216 cubic meters.
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Tim and three friends go on holiday together for a week. The 4 friends will share the costs of the holiday equally. Here are the costs of the holiday. Work out how much Tim has to pay for his share of the costs.
Answer: £535
Step-by-step explanation:
Herr is the complete question:
Tim and three friends go on holiday together for a week.
The 4 friends will share the costs of the holiday equally,
Here are the costs of the holiday.
£1280 for 4 return plane tickets
£640 for the villa
£220 for hire of a car for the week
Work out how much Tim has to pay for his share of the costs.
Firstly, we have to calculate the total cost of the holiday. This will be:
= £1280 + £640 + £220
= £2140
We are also told that they will share the costs equally. Since there are 4 people, Tim will have to pay:
= £2140 ÷ 4
= £535
Tim will pay £535
In a recent season, Albert Pujols had 175 hits in 530 ot bats. At this pace, how many hits would Albert Pujols have in 590 at Type answer here
Answer:
im albert cousin
Step-by-step explanation:
his full name is José Alberto Pujols Alcántara
my name is carlos daniel pujols frias
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.
Answer:
12×12=144
2years=144/12×100
2years=$120
Step-by-step explanation:
What number means the same as 9,000,000,000 + 900,000,000, + 90,000,000 +9,000,000, + 900,000 + 9,000 +9 PLEASE DO IT QUICKLY
Answer:
9,999,909,009
Step-by-step explanation:
plz mark me brainliest. :0
Answer:
it does not equal the same
Step-by-step explanation:
but heres ur answer 9999909009
Santiago creates a playlist of Latin dance music. The playlist contains bachata, salsa, and mambo tracks, as shown in the table. Santiago puts the playlist on shuffle mode. What is the probability that the first track he hears is a salsa track?
Santiago creates a playlist of Latin dance music. The playlist contains bachata, salsa, and mambo tracks, as shown in the table. Santiago puts the playlist on shuffle mode. What is the probability that the first track he hears is a salsa track?
Answer:8/20
Step-by-step explanation:i did the quiz and it is correct
You decide to make and sell bracelets. The cost of your materials is $84.00. You charge $3.50 for each bracelet. Write a function that represents the profit p for selling b bracelets.
The function that represents the profit p for selling b bracelets is p = 3.5b - 84
Write a function that represents the profit p for selling b bracelets.From the question, we have the following parameters that can be used in our computation:
The cost of your materials is $84.00. You charge $3.50 for each bracelet.This means that
Cost of b brackets = 3.5b
So, we have
Profit = Cost of b brackets - Cost price
substitute the known values in the above equation, so, we have the following representation
p = 3.5b - 84
Hence, the function that represents the profit p for selling b bracelets is p = 3.5b - 84
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Triangle ABC is a right triangle. Angle A = 18 degrees Angle B = 90 degrees AC = 25 cm Find AB. Do not label. Round your final answer to the nearest tenth.
there are twelve months in every year. The number of years is x. The number of months is y.
Answer:
12x = y
Step-by-step explanation:
12 months per x
12x
this means
12x = y
Hope that helped!!! k
Have you ever devised a way to solve a problem? How?
Answer:
What kind of problem?
Step-by-step explanation:
A beaker has a mass of 129 g. What is the mass of this beaker in kilograms?
Answer: 0.129 kg
Step-by-step explanation:
A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001
HELPPPPPP ASAP What is the length of the third side of the window frame below? (5 points) (Figure is not drawn to scale.) 58a 1) 16 inches ) 2) 20 inches 3) 40 inches 4) 50 inches
Answer:
The answer is 3) 40.
Step-by-step explanation:
since you're working with the Pythagorean theorem, you should know that a^2+b^2=c^2, therefore, we know that we only have two sides. we have a and c. we know that a = 42 and c = 58, giving us the equation of 42^2+b^2=58^2,
we want to find b!
so we would simply subtract the two.
58^2 - 42^2 = b
b = 1600
now we want to square root,
b = sqrt1600
which in the end, gives us the answer of 40.
Answer:
the answer is 40
Step-by-step explanation:
I took the test
DIFFERENCE OF SQUARES (DOTS)
factor: X²-100
Answer: \((x+10)(x-10)\)
Step-by-step explanation: Difference of squares is an important element in understanding square functions. In order to identify difference of squares, the equation should be given in the form a^2-b^2. You can factor it completely when b^2 can be square rooted perfectly and write the factored expression as (a-b)(a+b) as I have done above.
The assignment problem constraint x21 x22 x23 + x24 s 3 means agent 3 can be assigned to 2 tasks agent 2 can be assigned to 3 tasks a mixture of agents 1, 2, 3, and 4 will be assigned to tasks. there is no feasible solution
To obtain a feasible solution, you would need to revise the assignment limits or add additional constraints that do not violate the given constraint.
How to obtain a feasible solution of assignment limits?Based on the constraint you provided, x21 + x22 + x23 + x24 ≤ 3, it means that the sum of variables x21, x22, x23, and x24, representing the number of tasks assigned to agents 1, 2, 3, and 4 respectively, cannot exceed 3.
This constraint implies that agent 3 can be assigned to a maximum of 2 tasks (since x23 ≤ 2), and agent 2 can be assigned to a maximum of 3 tasks (since x22 ≤ 3).
However, there seems to be a contradiction with the statement that "agent 3 can be assigned to 2 tasks" and "agent 2 can be assigned to 3 tasks" because the sum of these maximum assignments would already exceed 3, which is not feasible according to the constraint.
Therefore, To obtain a feasible solution, you would need to revise the assignment limits or add additional constraints that do not violate the given constraint, such as reducing the maximum number of tasks that can be assigned to agent 2 or agent 3, or adjusting the total number of tasks available for assignment.
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2 5/6 divided by 3 1/4 please explain .
Answer:
\(\frac{34}{39}\)
Step-by-step explanation:
\(2\frac{5}{6}\) can be rewritten as \(\frac{17}{6}\)
\(3\frac{1}{4}\) can be rewritten as \(\frac{13}{4}\)
So now
\(\frac{17}{6} / \frac{13}{4}\)
Flip the second fraction and multiply
\(\frac{17}{6} * \frac{4}{13} = \frac{68}{78}\)
Now reduce the fraction
\(\frac{34}{39}\)
PLSSS HELP HURRRYYYYY (100 POINTS ) CLICK ON THE PICTURE
Answer:
D. y, because ΔJHK ~ ΔLMK.
The triangle is tilted and has the same angle and sides.
ΔJHK matches with ΔLMK fully.
Answer:
the last one : y
Step-by-step explanation:
the angle KML means the angle at M.
JHK and LMK are similar triangles. that means that all angles in one triangle are the same in the other triangle.
one angle is 90°. the second angle is 65°.
that leaves the third angle to be y (or actually 25°).
the change in altitude of a bird after 2 1/2 seconds was -41 1/4 feet. what was the average change in altitude of the bird in feet per second
PLEASE HELP
Answer:
-16¹/₂ feet per second
Step-by-step explanation:
average change in altitude in feet per second = change in altitude in feet/change in time in seconds
= -41¹/₄ ft ÷ 2¹/₂ s
= -165/4 ft ÷ 5/2 s
= -165/4 × 2/5 ft/s
= -33/2 feet per second
= -16¹/₂ feet per second
anyone watching or watched Avatar The Last Airbender? or The Legend of Korra? If you haven't I highly suggest you watch it on Netflix
Answer:
no ive never seen is it a cartoon
Step-by-step explanation:
Answer:
Yes I have seen it i reccomend it to
Don’t you guys just hate when you ask a question on here and two different people have different answers???
Answer:
Yes, very. This has happen to me so many times. I hate it
Have a nice day <3
^_^
A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal distance, x, in metres, from the end of the board is given by y= -x^2 + 2x + 3. What is the diver's maximum height?
Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of \(x^2\) is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
\(y= -x^2 + 2x + 3\)
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, \(x=-\dfrac{b}{2a}\)
\(x=-\dfrac{2}{2*-1}\\x=1\)
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
\(y(1)= -1^2 + 2(1) + 3=-1+2+3=4m\)
The maximum height of the diver is therefore 4 meters.
find the unit tangent vector T and the curvature k for the following parameterized curver(t) = <9 cos t, 9 sin t, sqrt(3) t>
The unit tangent vector T and the curvature k is √2/3
Unit Tangent Vector and Curvature are two important concepts in vector calculus that are used to describe the behavior of curves in space.
To find the Unit Tangent Vector, we must first find the derivative of the curve. The curve is defined as (t) = <9 cos t, 9 sin t, √(3) t>, so taking the derivative with respect to t, we get:
d(t) / dt = < -9 sin t, 9 cos t, √(3) >
Next, we want to normalize this vector to get the Unit Tangent Vector, T. To do this, we divide the vector by its magnitude, which is given by:
=> √((-9 sin t)² + (9 cos t)² + (√(3))²)
=> √(81 + 81 + 3) = 9 √(3)
So, the Unit Tangent Vector is given by:
T = d(t) / dt / |d(t) / dt|
T = < -9 sin t / 9 √(3), 9 cos t / 9 √(3), √(3) / 9 √(3) >
T = < -sin t / √(3), cos t / √(3), 1 / 3 √(3) >
To find the Curvature, we use the formula:
k = |dT / dt|
where T is the Unit Tangent Vector and dT / dt is the derivative of the Unit Tangent Vector. To find dT / dt, we take the derivative of T with respect to t:
dT / dt = < cos t / √(3), -sin t / √(3), 0 >
Finally, the magnitude of dT / dt gives us the Curvature:
=> √((cos t / √(3))² + (-sin t / √(3))² + (0)²)
=> √(1 / 3 + 1 / 3) = √(2 / 3) / √(3)
So, the Curvature is given by:
k = √(2 / 3) / √(3)
k = √2 / 3
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Please answer quick !
What are the first 3 consecutive odd numbers?
The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.
Consecutive numbers are those that always appear in the same order, from smallest to largest.
For instance:
The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.
consecutive odd numbers:
Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."
Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.
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James is having a BBQ. Burgers come in packs of 12
and buns come in packs of 8. How many packs of each
will James need to buy so that he has no spares?
Answer:
2 packs of Burgers, 3 Packs of Buns
Answer:
He will need to buy 2 packs of burgers. And 3 packs of buns.
Step-by-step explanation:
The lowest common number that 12 and 8 Share is 24. 12×2=24 8×3=24
Which rule describes the relationship between the ex and Y coordinates on the following graph
choose 1 answer:
A) y = x
B) y = 2x -2
(PICTURE INCLUDED WHOEVER GETS IT RIGHT FIRST GETS MARKED BRAINLIEST)
Answer:
A, y = x
Step-by-step explanation:
Slope is equal to one
Y-intercept is origin
Answer:
A.) Y=X
Step-by-step explanation:
It intercepts with origin
Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the
point (-2, 4)
Answer:
y = 4x + 12
Step-by-step explanation:
The slope of the line y = 4x - 9 is 4.
The slope of the line we are looking for is also 4.
y - y1 = m(x - x1)
y - 4 = 4[x - (-2)]
y - 4 = 4(x + 2)
y - 4 = 4x + 8
y = 4x + 12
Answer: y = 4x + 12
ANSWER ASAP PLEASE'
What is the equation of a vertical line passing through the point (7, 5)?
Prove that in Einstein model the C
vis given by: C_v=3R( T/θ E )^2(e ^θ E^T−1)^2/e θETPlot C_v against temperature between T=1 K to 320 K at a constant frequency of 1×10 ^13Hz.
The given equation for C_v in Einstein model is:
C_v = 3R(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/Tk_be
T = 1.38 x 10^-23 J/K (Boltzmann's constant)
h = 6.626 x 10^-34 J s (Planck's constant)
ν = 1 x 10^13 Hz (constant frequency)
R = k_b/hν,
which gives R = 2.08 x 10^-4 JK^-1mol^-1
At a constant frequency of 1 x 10^13 Hz, we can write
R = k_b/hν = 2.08 x 10^-4 JK^-1mol^-1
Using this value of R, we can plot the graph of C_v against temperature (T) from 1 K to 320 K.
Here's the explanation of the given formula of C_v:
In Einstein's model, the heat capacity of a solid is given by:
C_v = nR[(θ_E/T)^2 * e^(θ_E/T)] / [(e^(θ_E/T) - 1)^2]
where,
n = number of atoms in the solid
R = gas constantθ_
E = Einstein temperature
T = absolute temperature
Since we have R in terms of k_b and ν, we can substitute it in the above equation to get:
C_v = 3k_bN[(θ_E/T)^2 * e^(θ_E/T)] / [(e^(θ_E/T) - 1)^2]
where, N = Avogadro's number
So, we can rewrite the equation as:
C_v = 3R(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/T
At a constant frequency of 1 x 10^13 Hz,
we can write
R = k_b/hν = 2.08 x 10^-4 JK^-1mol^-1.
Substituting this value in the equation of C_v, we get:
C_v = 3(2.08 x 10^-4)(T/θ_E)^2(e^θ_E/T - 1)^2/e^θ_E/T
Now, we can plot the graph of C_v against T from 1 K to 320 K.
The graph will be as follows:
Graph of C_v against T from 1 K to 320 K at a constant frequency of 1 x 10^13 Hz.
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Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?
Answer:
$31.63 per hour
Step-by-step explanation:
hope this helped,brainliest
Ill give brainliest - please help ASAP
WITH THE WORK THO PLEASE?
Answer:
this is your answer look it once