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ASHA 777 [7]
3 years ago
14

Order the following numbers from least to greatest. square root of 7, -2.3, square root of 3, 5.1, -1/3. Please help! The last o

ne is a fraction not an equation.
Mathematics
2 answers:
aalyn [17]3 years ago
8 0

First of all, negative numbers will surely come before positive ones. So, let's compare -2.3 and -1/3.

One is a number, one is a fraction. You can either turn the fraction to number, or the number to fraction. The first option is surely easier: we have -1/3 = -0.333...

So, -1/3 is closer to 0 than -2.3, so we have -2.3 < -\frac{1}{3}

As for the positive numbers, we have to order \sqrt{7},\ \sqrt{3},\ 5.1. When dealing with positive numbers, it is true that x < y \implies x^2 < y^2. So, we can square the numbers to get rid of the roots: we have

3 = \sqrt{3}^2 < 7 = \sqrt{7}^2 < 26.01 = 5.1^2.

So, the ordered list is the following:

-2.3,\ -\frac{1}{3}, \sqrt{3},\ \sqrt{7},\ 5.1

dolphi86 [110]3 years ago
3 0
-2.3, -1/3, square root of 3, square root of 7, 5.1

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3 0
2 years ago
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Choose the correct simplification of the expression ( 4x/y)^2.
erik [133]

\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4x}{y}\right)^{2}   \end{gathered}$}

To raise 4x/y to a power, raise the numerator and denominator to the power, and then divide.

\large\displaystyle\text{$\begin{gathered}\sf \frac{(4x)^{2} }{y^{2} }  \end{gathered}$}

Expand (4x)².

\large\displaystyle\text{$\begin{gathered}\sf \frac{4^{2} x^{2} }{y^{2} }  \end{gathered}$}

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\boxed{\large\displaystyle\text{$\begin{gathered}\sf \frac{16x^{2} }{y^{2} }  \end{gathered}$} }

6 0
1 year ago
Let A(t) be the area of a circle with radius r(t), at time t in min. Suppose the radius is changing at the rate of drdt=6 ft/min
mylen [45]

Answer:

The rate of change is 108\pi ft^(2)/min

Step-by-step explanation:

The area of a circle is given by the following equation:

A(t) = \pi r^{2}

To solve this question, we have to realize the implicit differentiation in function of t. We have two variables, A and r. So

\frac{dA(t)}{dt} = 2\pi r \frac{dr}{dt}

We have that:

\frac{dr}{dt} = 6, r = 9.

We want to find \frac{dA}{dt}

So

\frac{dA(t)}{dt} = 2\pi*9*6

\frac{dA}{dt} = 108\pi

Since the area is in square feet, the rate of change is in ft^(2)/min.

So the rate of change is 108\pi ft^(2)/min

5 0
2 years ago
Pls help fast 27/d=4 1/2 i need to find d
zvonat [6]

Answer:

121 1/2

Step-by-step explanation:

27/d = 4.5

*27       *27

d = 121.5

d = 121 1/2

6 0
2 years ago
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lukranit [14]
P+5m+2p+8

I believe.

Simply apply the rule of distributive property.
3 0
2 years ago
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