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IgorLugansk [536]
3 years ago
14

I need to know how to simplify these problems.

Mathematics
1 answer:
nalin [4]3 years ago
5 0
You need to factor the radicals into products of radicals, and when factoring you should keep in mind you want to obtain perfect square roots. So √125 = √5*√25 and squareroot 25 has a definite answer of 5, so ∛125=∛5×∛25=5×√5. You want to follow the general pattern of factoring perfect squares to obtain a number outside the radical which can be multiplied by the current coefficient
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The value of 3b2 – b when b = 5
Mila [183]

Answer:

70

Step-by-step explanation:

Evaluate 3 b^2 - b where b = 5:

3 b^2 - b = 3×5^2 - 5

Hint: | Evaluate 5^2.

5^2 = 25:

3×25 - 5

Hint: | Multiply 3 and 25 together.

3×25 = 75:

75 - 5

Hint: | Subtract 5 from 75.

| 7 | 5

- | | 5

| 7 | 0:

Answer:  70

6 0
3 years ago
Differential cos^2x dy/dx =e^y-tanx​
gulaghasi [49]

Answer:

y=t−1+ce

−t

where t=tanx.

Given, cos

2

x

dx

dy

+y=tanx

⇒

dx

dy

+ysec

2

x=tanxsec

2

x ....(1)

Here P=sec

2

x⇒∫PdP=∫sec

2

xdx=tanx

∴I.F.=e

tanx

Multiplying (1) by I.F. we get

e

tanx

dx

dy

+e

tanx

ysec

2

x=e

tanx

tanxsec

2

x

Integrating both sides, we get

ye

tanx

=∫e

tanx

.tanxsec

2

xdx

Put tanx=t⇒sec

2

xdx=dt

∴ye

t

=∫te

t

dt=e

t

(t−1)+c

⇒y=t−1+ce

−t

where t=tanx

8 0
2 years ago
A triangle has sides xcm, (x + 4) cm and 11cm, where x is a whole number of cm. if the perimeter of the triangle is less than 32
NARA [144]

9514 1404 393

Answer:

  {4, 5, 6, 7, 8}

Step-by-step explanation:

The inequality related to the perimeter is ...

  x +(x +4) +11 < 32

  2x < 17 . . . . . . . . . . . . subtract 15

  x < 8.5

The inequality related to the triangle inequality is ...

  (x) +(x +4) > 11

  2x > 7

  x > 3.5

Then possible whole-number values of x are ...

  {4, 5, 6, 7, 8}

6 0
3 years ago
Read 2 more answers
X = 0.19
Luda [366]

Step-by-step explanation:

.19 = 19/100

.864 = 86.4/100

.5348 = 53.48 /100

I multiplied the decimal by 100 to get what it was before which is the same as moving two decimal places to the right and divided by 100

if any confusion ask

4 0
2 years ago
Read 2 more answers
Help pls ill give max points
katrin2010 [14]

Answer:

C

Step-by-step explanation:

The original is L, if it was roated 180 degrees clockwise it would be in the same spot

6 0
2 years ago
Read 2 more answers
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