3 years ago

What is the reciprocal of 2 1/2

Mathematics

2 answers:

lesya692 [45]3 years ago

4 0

Answer:

0.4

Step-by-step explanation:

astraxan [27]3 years ago

3 0

Answer:

2/5

0.4

Step-by-step explanation:

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The two triangles are similar.

Andrei [34K]

Answer:

x=10

Step-by-step explanation:

The two triangles are similar since each triangle is the same shape of right triangle but different sizes. To find x, write a proportion between two equal ratios of side lengths.

$\frac{28}{20}=\frac{4x+2}{3x}$

Solve by cross multiplying.

28(3x) = 20(4x+2)

84x = 80x + 40

4x = 40

x=10

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3 years ago

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A potential energy function is given by U = A x3 + B x2 − C x + D . For positive parameters A, B, C, D this potential has two eq

Ivenika [448]

Answer:

7.8655

Step-by-step explanation:

Given the functionl

$U=Ax^3+Bx^2-cx+D$

Where,

$A=1.45J/m^3\\B=2.85J/m^2\\c= 1.7J/m\\D=0.6J$

We have, replacing,

$U=1.45x^3+2.85x^2-1.7x+0.6$

We need to derivate and verify for stable equilibrum that,

$\frac{d^2 U}{dx^2}>0$

Then,

$U'(x) = 4.32x^2+5.7x-1.7$

Roots in,

$x_1=-1.57008\\x_2=0.250636$

We obtain U"(x), then we have

$\frac{d^2U}{dx}=8.64x+5.7$

For $x=-1.57, U"(x)=-7.86549$ Unestable

For $x=0.250636 U"(x)=7.8655>0$ Stable

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3 years ago

In a group of 90 seventh

Firdavs [7]

90 x .80= 72. 72 Students like hot choco, therefore 8 do no like hot choco

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Charlie had a -$38.00 balance in his checking account. He deposited $126.00 into the account. What is his new balance?

Marina86 [1]

Answer:

$88

Step-by-step explanation:

-38+126=$88

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3 years ago