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miv72 [106K]
3 years ago
15

What are the square roots of 1?

Mathematics
2 answers:
dalvyx [7]3 years ago
8 0

Answer:

The answer will be 1 because everything that equal 1 is 1

miv72 [106K]3 years ago
5 0

Answer:

i do strongly believe the answer is 1.000

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The radius of a right circular cone is increasing at a rate of 1.4 in/s while its height is decreasing at a rate of 2.1 in/s. At
kow [346]

Given:

\dfrac{dr}{dt}=1.4\text{ in/s}

\dfrac{dh}{dt}=-2.1\text{ in/s}

To find:

The rate of change in volume at r=120\text{ in. and }175\text{ in.}

Solution:

We know that, volume of a cone is

V=\dfrac{1}{3}\pi r^2h

Differentiate with respect to t.

\dfrac{dV}{dt}=\dfrac{1}{3}\pi\times \left[(r^2\dfrac{dh}{dt}) + h(2r\dfrac{dr}{dt})\right]

Substitute the given values.

\dfrac{dV}{dt}=\dfrac{1}{3}\times \dfrac{22}{7}\times \left[(120)^2(-2.1) +175(2)(120)(1.4)\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times \left[-30240+58800\right]

\dfrac{dV}{dt}=\dfrac{22}{21}\times 28560

\dfrac{dV}{dt}=29920

Therefore, the volume of decreased by 29920 cubic inches per second.

6 0
3 years ago
Simplify the expression (combine like terms):<br> 6x + 12y + 5 + 2y + 8
ryzh [129]

Answer:

6x + 14y + 13

Step-by-step explanation:

6x + 12y + 5 + 2y + 8 \\(6x ) + (12y + 2y) + (5 + 8) \\ 6x + 14y + 13

4 0
3 years ago
Read 2 more answers
What are the first four terms of the sequence represented by the expression n(n – 1) – 4? A. –2, 2, 6, 10 B. –3, 0, 3, 6 C. –4,
vesna_86 [32]

Answer:

C

Step-by-step explanation:

to find the first 4 terms, substitute n = 1, 2, 3, 4 into the expression

n = 1  → 1(1 - 1) - 4 = 0 - 4 = - 4

n = 2 → 2(2 - 1) - 4 = 2 - 4 = - 2

n = 3 → 3(3 - 1) - 4 = 6 - 4 = 2

n = 4 → 4(4 - 1) - 4 = 12 - 4 = 8

the first four terms are - 4, - 2, 2, 8 → C



5 0
3 years ago
Solving a quadratic equation when a is not equal to 1 by completing the square:
LenKa [72]
<h3>Answer:</h3>

x² -6x = -13 ⇒ x ∈ {3-2i, 2+2i}

<h3>Step-by-step explanation:</h3>

To make a=1, divide the equation by the coefficient of x², which is 8.

... x² -6x = -13 . . . . . . your blanks are filled with -6 and -13

Now, to complete the square, add the square of half the x-coefficient:

... (-6/2)² = 9.

... x² -6x +9 = -4 . . . 9 added to both sides

... (x -3)² = -4 . . . . . rewrite as a square

... x -3 = ±2i . . . . . . take the square root

... x = 3 ±2i . . . . . . . add 3

The solutions are the complex numbers x = 3 ±2i.

5 0
3 years ago
Find the slope between the given two points. (-1, -11) and (-6, -7)
Aliun [14]

Answer:

-1.25

Step-by-step explanation:

The change in position for x is -5, the change in position for y is 4, -5/4 = -1.25

8 0
4 years ago
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