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3 years ago

The sum of twice a number and half the number is 10. how would i write the equation? 66pts

2 answers:

3 0

Hello there i hope you are having a good day :) Your question : The sum of twice a number and half the number is 10.

Answer would be : 2x + x/2 = 10

Hopefully that helps you ❤

Alexxandr [17]3 years ago

3 0

Answer:

2x+x/2 = 10

Step-by-step explanation:

x is the unknown value.

2x would be used to represent the unknown value of twice that number.

/2 would be used to represent half the number.

Hope this helps you!

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Alex bought six books priced at $8 each. He got a discount of 20% off the total cost. How much did Alex pay for the books? Write

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Six books at 8 dollars each is equivalent to $48.00

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Therefore you are multiplying 48 by .8

Your answer should be equal to $38.40

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3 years ago

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What is the equivalent to (3x squared)cubed ?

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3 years ago

Simplify the following expressions

Zigmanuir [339]

Answer:

4x -2y + 8z

Step-by-step explanation:

10 / 4 = 4x

-5y / 2.5 = -2y

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7 0

3 years ago

Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t i

bixtya [17]

Answer:

length of the curve = 8

Step-by-step explanation:

Given parametric equations are x = t + sin(t) and y = cos(t) and given interval is

−π ≤ t ≤ π

Given data the arrow the direction in which the curve is traces means

the length of the curve of the given parametric equations.

The formula of length of the curve is

$\int\limits^a_b {\sqrt{\frac{(dx}{dt}) ^{2}+(\frac{dy}{dt}) ^2 } } \, dx$

Given limits values are −π ≤ t ≤ π

x = t + sin(t) ...….. (1)

y = cos(t).......(2)

differentiating equation (1) with respective to 'x'

$\frac{dx}{dt} = 1+cost$

differentiating equation (2) with respective to 'y'

$\frac{dy}{dt} = -sint$

The length of curve is

$\int\limits^\pi_\pi {\sqrt{(1+cost)^{2}+(-sint)^2 } } \, dt$

$\int\limits^\pi_\pi \, {\sqrt{(1+cost)^{2}+2cost+(sint)^2 } } \, dt$

on simplification , we get

here using sin^2(t) +cos^2(t) =1 and after simplification , we get

$\int\limits^\pi_\pi \, {\sqrt{(2+2cost } } \, dt$

$\sqrt{2} \int\limits^\pi_\pi \, {\sqrt{(1+1cost } } \, dt$

again using formula, 1+cost = 2cos^2(t/2)

$\sqrt{2} \int\limits^\pi _\pi {\sqrt{2cos^2\frac{t}{2} } } \, dt$

Taking common $\sqrt{2}$ we get ,

$\sqrt{2}\sqrt{2} \int\limits^\pi _\pi ( {\sqrt{cos^2\frac{t}{2} } } \, dt$

$2(\int\limits^\pi _\pi {cos\frac{t}{2} } \, dt$

$2(\frac{sin(\frac{t}{2} }{\frac{t}{2} } )^{\pi } _{-\pi }$

length of curve = $4(sin(\frac{\pi }{2} )- sin(\frac{-\pi }{2} ))$

length of the curve is = 4(1+1) = 8

conclusion:-

The arrow of the direction or the length of curve = 8

7 0

3 years ago

I needed help with small numbers 2 - 100 3-1000 2-10000 4 1000000 each in standard form

adelina 88 [10]

10^1
10^2
10^3
10^4
probably wrong

5 0

3 years ago