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3 years ago

Is 5_6 greater than less than or equal to 3/4

Mathematics

1 answer:

matrenka [14]3 years ago

3 0

5/6=0.83~
Meanwhile 3/4=0.75.
5/6 is bigger than 3/4.
Good luck!

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I need help! This pattern repeats every 4 terms. The pattern is square, hexagon, trapezoid, triangle. What is the shape in the 7

alina1380 [7]

<h3>Answer: Trapezoid</h3>

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Explanation:

There are two ways to do this problem.

Method 1 involves listing out the terms until we reach the seventh one.

square
hexagon
trapezoid
triangle
square
hexagon
trapezoid
triangle

We see that the trapezoid is term 7.

-------------

Method 2 is faster and the one I recommend.

Since the pattern repeats every 4 items, this means we divide by 4 and look at the remainder. Ignore the quotient entirely.

7/4 = 1 remainder 3

The remainder 3 means that the answer is found in term 3, which is the trapezoid.

6 0

2 years ago

Which expression is equivalent to x4 • x−2?

damaskus [11]

<h3>Hey there! </h3><h3>The second " $x$ " is has invisible $1$ </h3><h3>Here, this is what I meant: $x^ 1$ </h3><h3>So, now your equation looks like this: $x^4(x^1$ $-2)$ </h3><h3>Add the exponents: $4 + 1$ $= 5$ </h3><h3>Therefore your answer should be: $x^5 - 2$ </h3><h3>(Note: there's many ways to solve these types of equations, I just gave you the basic method) </h3><h3 /><h3>Good luck on your assignment and enjoy your day! </h3><h3>~ $LoveYourselfFirst:)$ </h3>

6 0

3 years ago

A 1 newton force will stretch a spring 1 meter. The spring/mass system is damped by a force that is 8 times the instantaneous ve

sukhopar [10]

Answer:

Step-by-step explanation:

Given the mass is m =16kg, and 1N force will stretch the spring 1 m.

That is, F =1N,Z =1m. Now find the spring constant k:

F = kL = 1 = k(1) = k= 1N/m.

The damping force is 8times the instantaneous velocity, this means β = 8,

and the external force is f(t) = 0

Initially the object compressed 0.6m above equilibrium position,

with the downward velocity is 2m/s.

The differential equation for a spring mass system with

damping force and extemal force is: mx" + βxt + kx = f(t).

so, 16x"+ 8x' + x= 0, x(0} = -0.6, x'(0)= 2m/s.

Now solve the DE:

The auxilary equation for the homogeneous equation is 16x"+8x'+x=0

solving we get, 16r² + 8r + 1 = 0 => (4r + 1)² = 0 => r = - 1/4.

Then the general solution for the homogenous system is: $x(t)=c_1e^{-t/4} +c_2te^{-t\4}$ .

Use the initial conditions x (0) = -0.6, x'(0) = 2m/s:

$x(0)=c_1e^{0} +c_2(0)e^{0}=-0.6=c_1\\x'(t)=-\frac{1}{4}c_1e^{-t/4}+c_2e^{-t/4}-\frac{1}{4}c_2te^{-t/4}\\x'(0)=-\frac{1}{4}c_1e^0+c_2e^0-\frac{1}{4}c_2(0)e^0=2=-\frac{1}{4}(-0.6)+c_2=c_2=1.85$ .

Hence, $x(t) =-0.6e^{-t/4}+1.85te^{-t/4}$ .

5 0

3 years ago

A triangle has an angle that measures 10°. The other two angles are in a ratio of 7:10. What are the measures of those two angle

Sliva [168]

Answer:

100 degrees and 70 degrees

Step-by-step explanation:

180 - 10 = 170

with a ratio of 7:10

7x + 10x = 170

17x = 170

x = 170/17

x = 10

one angle in 100 degrees and the other is 70 degrees

4 0

2 years ago

- Area and Volume

nadya68 [22]

Answer:

1. Area=225 m2, 2. Carpet required is 225m2. 3. Cost= Rs 18000

Step-by-step explanation:

1. Area=l*l=15*15=225 m2

2. Carpet has to be 225m2 in order to cover the floor

3. Cost= 225*80=18000

6 0

3 years ago