Answers
The difference in length between a line made with all the 3/8 inch strips and a line made with all the 3/4 inch strips would be (6m - 3n)/8 inches.
How to calculate the differenceIf we assume that each strip has the same length, the difference in length between a line made with all the 3/8 inch strips and a line made with all the 3/4 inch strips would be equal to the difference in the number of strips needed to make each line.
Let's say we need n 3/8 inch strips to make the first line and m 3/4 inch strips to make the second line. The length of the first line would be:
length of first line = n x (3/8) inches
The length of the second line would be:
length of second line = m x (3/4) inches
In this case, to find the difference in length between the two lines, we can subtract the length of the first line from the length of the second line:
length of second line - length of first line = m x (3/4) inches - n x (3/8) inches
Then, to simplify this expression, we can find a common denominator for the two fractions:
length of second line - length of first line = m x (6/8) inches - n x (3/8) inches
length of second line - length of first line = (6m - 3n)/8 inches
Therefore, the difference in length between a line made with all the 3/8 inch strips and a line made with all the 3/4 inch strips would be (6m - 3n)/8 inches, where n and m are the number of strips needed to make each line.
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Related Questions
What integer best represents
ascending 800 feet?
Answers
Answer:
positive interger.....
When a 3 kg mass is attached to a spring whose constant is 48 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 18e ³ cos 6t is applied to the system. In the absence of damping. (a) find the position of the mass when t = π. (b) what is the amplitude of vibrations after a very long time? Round your answer to 4 decimals. Round your answer to 4 decimals.
Answers
The equation of motion in the absence of damping is:
x(t) = -3/4 \(e^{-4t}\) ((\(e^{4t}\) - 1) cos(4 t) - (3 \(e^{4t}\) - 2) sin(4 t))
Here, we have,
given that,
When a 3 kg mass is attached to a spring whose constant is 48 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 18e ³ cos 6t is applied to the system.
now, we have,
mx'' + kx = f(t)
3 x'' + 48 x = 180\(e^{-4t}\) cos(4t)
x(0) = 0 , x'(0) = 0
homogenous equation
3x'' + 48x =0
x''+ 16x =0
r^2 +16 = 0
r= 4i , -4i
x = a cos (4t) + b sin (4t)
since f(t) = 180\(e^{-4t}\) cos(4t)
xp(t) = c1 *\(e^{-4t}\) cos(4t) + c2 \(e^{-4t}\) sin(4t)
satsifying yp(t) in main differential eqation
xp(t) = 3/4 * \(e^{-4t}\) cos(4t) -3/2 \(e^{-4t}\) sin(4t)
x(t) = c_2 sin(4 t) + c_1 cos(4 t) - 3/2 \(e^{-4t}\) sin(4 t) + 3/4 \(e^{-4t}\) cos(4 t)
using x(0) = 0 , x'(0) = 0
x(t) = -3/4 \(e^{-4t}\) ( \(e^{4t}\) - 1) cos(4 t) - (3 \(e^{4t}\)) - 2) sin(4 t))
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complete question:
When A Mass Of 3 Kilograms Is Attached To A Spring Whose Constant Is 48 N/M, It Comes To Rest In The Equilibrium Position. Starting At T = 0, A Force Equal To F(T) = 180e−4t Cos 4t Is Applied To The System. Find The Equation Of Motion In The Absence Of Damping.
When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the equilibrium position. Starting at
t = 0,
a force equal to
f(t) = 180e−4t cos 4t
is applied to the system. Find the equation of motion in the absence of damping.
Help me solve ignore the pyramid it’s for a different question
Answers
k=2/3,1/2
33) (-2)*2+(-2)k-14=0
4=14+2k
-10=2k
k=-5
Find the equation of the line whose graph passes through (−2,−3) and has slope 5 .
Answers
Answer:
y +3 = 5(x +2)
Step-by-step explanation:
You want the equation of a line with slope 5 through the point (-2, -3).
Point-slope formThe point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Applicationy +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)
__
Additional comment
This can also be written as ...
y = 5x +7 . . . . . . . . . subtract 3 and simplify
<95141404393>
Graph the line y=-2/3x+3
Answers
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
9
2
0
Step-by-step explanation:
Answer: x = (0,0) y = (3,0)
Step-by-step explanation: you have to find the Asymptotes In The Equation
Lope harvested 163. 5 kilos of pomelos while marcon harvested 362. 75 kilos of pomelo from their farm who harvested more pomelos? by how much more
Answers
Marcon harvested more pomelos than Lope, by 199.25 kilos.
To calculate this, we need to subtract the amount harvested by Lope from the amount harvested by Marcon.
First, we need to convert the amounts into the same unit of measure. Both amounts are in kilos, so no conversion is needed.
Next, we can subtract the amount harvested by Lope from the amount harvested by Marcon: 362.75 kilos - 163.5 kilos = 199.25 kilos.
This means that Marcon harvested 199.25 kilos more pomelos than Lope.
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Using simplex method to solve the following problems: (Manual calculations and then confirm your calculation by any software) Max. Z=5A+4B Subject to constraints: 6 A+4 B≤24, A+2 B≤6,−A+B≤1, B≤2, A, B≥0
Answers
Using the simplex method, the maximum value of Z=5A+4B is found to be 19.2 when A=3.6 and B=1.2. The calculations can be confirmed by using any software that solves linear programming problems.
To solve the given linear programming problem using the simplex method, we start by converting the problem into standard form. We introduce slack variables to convert the inequalities into equations.The initial tableau is as follows:
| A | B | S1 | S2 | S3 | S4 | RHS
------------------------------------------
Z | -5 | -4 | 0 | 0 | 0 | 0 | 0
------------------------------------------
S1 | 6 | 4 | 1 | 0 | 0 | 0 | 24
S2 | 1 | 2 | 0 | 1 | 0 | 0 | 6
S3 | -1 | 1 | 0 | 0 | 1 | 0 | 1
S4 | 0 | 1 | 0 | 0 | 0 | 1 | 2
We perform the simplex iterations until the optimal solution is reached. After applying the simplex method, the final tableau is obtained as follows:
| A | B | S1 | S2 | S3 | S4 | RHS
------------------------------------------------------
Z | 0 | 1.8 | 0.2 | -1 | -0.4 | 0.4 | 19.2
------------------------------------------------------
S1 | 0 | 0 | 0 | 1.5 | -1 | 1 | 3
S2 | 1 | 0 | -0.5 | 0.5 | 0.5 | -0.5 | 1.5
A | 1 | 0 | 0.5 | -0.5 | -0.5 | 0.5 | 0.5
S4 | 0 | 0 | 1 | -1 | -1 | 1 | 1
From the final tableau, we can see that the maximum value of Z is 19.2 when A=3.6 and B=1.2. This solution satisfies all the constraints of the problem. The calculations can be verified using any software that solves linear programming problems, which should yield the same optimal solution.
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What is the answer for number 10
Answers
Answer:
b
Step-by-step explanation:
b just honestly looks right and its my lucky letter so yaa...
Brainliest to first person WHO GETS IT RIGHT.
Answers
Answer:
124
Step-by-step explanation:
because we have to add numbers of hamburgers and burritos and
Which phrase describes the algebraic expression 5+w
A: the product of 5 and w
B: the quotſent of 5 and w
C: w more than 5
D: 5 less than w
Answers
Answer:
The answer probably is A
help find angle E please
Answers
Answer:
(9x+3)
Step-by-step explanation:
reflect the triangle in the mirror line
Answers
Answer:
correct me if im wrong bb
Help me cuhhhh?????????
Answers
Answer:
D. 10.5 ft
Step-by-step explanation:
3 times 3.5 = 10.5.
John receives utility from coffee \( (C) \) and pastries \( (P) \), as given by the utility function \( U(C, P)=C^{0.5} P^{0.5} \). The price of a coffee is \( £ 2 \), the price of a pastry is \( £
Answers
The marginal utility of coffee and pastry is found through the partial derivatives of the utility function. The partial derivatives of the function with respect to C and P are shown below:
∂U/∂C = 0.5 C^-0.5 P^0.5
∂U/∂P = 0.5 C^0.5 P^-0.5
In general, the marginal utility refers to the satisfaction or usefulness gained from consuming one more unit of a product. Since the function is a power function with exponent 0.5 for both coffee and pastry, it means that the marginal utility of each product depends on the quantity consumed. Let's consider the marginal utility of coffee and pastry. The marginal utility of coffee (MUc) is calculated as follows:
MUc = ∂U/∂C
= 0.5 C^-0.5 P^0.5
If John consumes more coffee and pastries, his overall utility may still increase, but at a decreasing rate. Marginal utility is the change in the total utility caused by an additional unit of the goods. The marginal utility of coffee and pastry is found through the partial derivatives of the utility function. The partial derivatives of the function with respect to C and P are shown below:
∂U/∂C = 0.5 C^-0.5 P^0.5
∂U/∂P = 0.5 C^0.5 P^-0.5
The marginal utility of coffee and pastry depends on the quantity consumed of each product. The more John consumes coffee and pastries, the lower the marginal utility becomes. However, if John decides to buy the coffee, he will receive 0.25P^0.5 marginal utility, and if he chooses to buy the pastry, he will receive 0.25C^0.5 marginal utility.
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4. How many 5 -digit telephone numbers can be constructed using the digits 0 to 9 if each number starts with 67 and no digit appears more than once?
Answers
There are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
To answer your question, we need to find the number of ways to arrange the remaining three digits after "67" is fixed.
Since we cannot repeat any digit, the first digit has 8 possibilities (0 to 9 except for 6 and 7).
the second digit has 7 possibilities, and the third digit has 6 possibilities.
To find the total number of arrangements, we multiply the number of possibilities for each digit together:
8 × 7 × 6 = 336.
Therefore, there are 336 different 5-digit telephone numbers that can be constructed using the digits 0 to 9, starting with "67" and with no repeated digits.
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(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :
Answers
Answer:
Below
Step-by-step explanation:
12 C 2 = 12! / ( 10! 2!) = 66 ways
A yoga studio offers memberships that cost $40 per month for unlimited classes. The studio also accepts walk-ins, charging $8 per class. If someone attends enough classes in a month, the two options cost the same total amount. How many classes is that? What is that total amount?
Answers
Answer:
Step-by-step explanation:
5 classes costs $40
5x8=$40
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam. Find, using vectors, the tension in the cables.
Answers
The tension in the cable is given by the newton's first law will be 163.622 N.
What is newton's first law?The summation of the force is equal to zero.
The formula is given as
ΣF = 0
Where m is the mass of the body and a is the acceleration.
A 210-N mass is suspended from a horizontal beam by two cables that make angles of 29 degrees and 53 degrees with the beam.
Then the tension in the cable will be
Let T be the tension in the cable.
T sin 29° + T sin 53° – 210 = 0
On simplifying, we have
T (sin 29° + sin 53°) = 210
T = 163.622 N
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how many times larger is 4.5 times 10^6 than 4.5 times 10^4
Answers
Answer:
100 Times larger.
Step-by-step explanation:
4500000/45000=100
how much work was done to move the car from 0.3 m to
0.7 m?
Answers
can someone help me really quick
Answers
Answer:
1 1/4
Step-by-step explanation:
2 1/4 ÷ 1 4/5
9/4 ÷ 9/5
9/4 x 5/9
5/4
1 1/4
a truck traveled the first 120 miles of a trip at one speed and the last 220 miles at an average speed of 5 miles per hour less. the entire trip took 6 hours. what was the average speed for the first part of the trip?
Answers
The average speed for the first part of the trip is 60 miles.
Given:
1st leg DATA:
distance = 120 miles ;
rate = x mph ;
time = d/r = 120/x hrs
2nd leg DATA:
distance = 220 miles ;
rate = x-5 mph ;
time = 220/(x-5) hrs
hence the equation we frame is:
Equation:
120/x + 220/(x-5) = 6
120(x-5) + 220x = 6x(x-5)
120x - 600 + 220x = 6x² - 30x
-6x² + 340x + 30x - 600 =0
-6x² + 370x - 600 = 0
-3x² - 185x + 300 = 0
(3x-5)(x-60)
3x = 5 or x-60=0
x = 5/3 or x = 60
hence x-5 = 60-5
= 55 miles per hour.
Hence we get the answer as 60 miles.
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if temperature is -15 and falls by 6 what is the new temperature
Answers
Answer:
- 21
Step-by-step explanation:
if temperature is -15 and falls by 6 what is the new temperature?
the temperature falls, so it's colder, add -15 to -6 and you get - 21 (your answer)
Questions 3, 4, and 5.
Answers
Answers:
Reason 2) Given. Specifically, the diagram shows that the two angles are adjacent and supplementary, which is why the two angles are a linear pair.Reason 3) Definition of Linear Pair. As stated above, a linear pair of angles add to 180 degrees (they are supplementary).Statement 4) \(m \angle WZX = 90 \text{ and } m \angle WZV = 90\) since the term "right angle" is another way of saying "90 degree angle"Statement 5) \(\overset{\leftarrow -\rightarrow}{WY} \perp \overset{\leftarrow -\rightarrow}{XV}\) The upside down "T" symbol means "perpendicular". Perpendicular lines form 90 degree angles at the intersection.Side note: The double arrow over WY and XV in statement 5 is supposed to be an unbroken line.
plot the points a (1,-1) and b (4, 5)
Answers
❏\( \huge \boxed {\mathfrak{ \pink{Answer}}}\)❒
▶ \( \tt \red{see \: \: attachement \: \: for \: \: ploted \: \: points}\)
Answer:
See included figure.
Step-by-step explanation:
I assume you are given a grid to plot on, but I've just quickly made one myself to show how to do it.
First off: remember that in a point with two coordinates it's always (x,y).
This means the first number is the x coordinate and the second number is the y coordinate.
So all you have to do then is make some lines through those coordinates, then the point is the point where those two lines intersect.
Four times the sum of 5 and some number is 20. What is the number?
Answers
This is the answer to your problem
Please help me answer number 3, will give brainliest.
Answers
Answer:
4
Step-by-step explanation:
Answer:
multiply the length of one side by the square root of 2: If the length of one side is x... The diagonals of a square intersect (cross) in a 90 degree angle. This means that the diagonals of a square are perpendicular.
Step-by-step explanation:
sorry if this dont help ^^
Please help! Will give brainliest!
Answers
After 10 weeks, there would be approximately 246 cell phone cases left.
To find the number of cell phone cases left after 10 weeks, we can substitute x = 10 into the equation and solve for C.
The given equation is:
log C = 2.84 - 0.042x
Substituting x = 10:
log C = 2.84 - 0.042(10)
log C = 2.84 - 0.42
log C = 2.42
To isolate C, we need to convert the equation from logarithmic form to exponential form.
In exponential form, the base of the logarithm becomes the base of the exponent. So, rewriting the equation in exponential form, we have:
\(C = 10^{(2.42)\)
Using a calculator, we find that \(10^{2.42\) is approximately 246.153.
Rounding to the nearest whole number, we have:
C ≈ 246
Therefore, after 10 weeks, there would be approximately 246 cell phone cases left.
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May 23, 8:49:32 PM
Watch help video
In physics lab, Austin attaches a wireless sensor to one of the spokes of a bicycle
wheel spinning freely on its axle. The sensor's height above the ground, in
centimeters, is given by the function h(t) = 7.46 cos(2(t-0.25)) + 38.86,
where t is time measured in seconds.
What is the minimum and what does it represent in this
context?
Answers
The minimum is 29 cm and it represents the sensor's minimum height above the ground.
How to interpret the graph of a cosine function?In Mathematics and Geometry, the standard form of a cosine function can be represented or modeled by the following mathematical equation (formula):
y = Acos(Bx - C) + D
Where:
A represents the amplitude.B = 2π/P.P represents the period.C represents the phase shift.D represents the center line (midline).By critically observing the graph which models the sensor's height above the ground (in centimeters) shown in the image attached below, we can reasonably infer and logically deduce that it has a minimum height of 29 centimeters.
In conclusion, the sensor's minimum height above the ground cannot exceed 29 centimeters.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
What is (7
?
(7 в — 5 ) +18
ОА.
3 11
18
ов.
4.
11
18
п
о с. 17
18
OD.
4.
5
18
Answers
Answer:
(7B-5) +18
=2B +18
= 20 ans