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kobusy [5.1K]
3 years ago
9

What is - √61 to the nearest integer and nearest tenth?

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0
The nearest integer would be 8.
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Simplify. Your answer should contain only positive exponents with no fractional exponents in the denominator.
mart [117]

Answer:

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

Step-by-step explanation:

The given expression is  

\dfrac{3y^{\frac{1}{4}}}{4x^{-\frac{2}{3}}y^{\frac{3}{2}}\cdot 3y^{\frac{1}{2}}}

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.

Using properties of exponents, we get

\dfrac{3}{4\cdot 3}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{\frac{3}{2}+\frac{1}{2}}}    [\because a^ma^n=a^{m+n}]

\dfrac{1}{4}\cdot \dfrac{y^{\frac{1}{4}}}{x^{-\frac{2}{3}}y^{2}}

\dfrac{1}{4}\cdot \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{y^{2}}         [\because a^{-n}=\dfrac{1}{a^n}]

\dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.

Therefore, the required expression is \dfrac{x^{\frac{2}{3}}y^{\frac{1}{4}}}{4y^{2}}.

5 0
4 years ago
F the height remains fixed and the side of the base is decreasing by 0.002 meter/yr, what rate is the volume decreasing when the
katrin [286]

The original volume equation looks like this: V = 1/3 * h * (x^2) 
After the side is reduced by 0.002, the new volume would look like V1 = 1/3 * h * (x-0.002) ^ 2 

Then we have: 
V-V1 = 1/3*h*(x^2) - 1/3*h*(x – 0.002) ^2 


= 1/3 * h *(x^2 - (x – 0.002) ^2) 


= 1/3 * h * (0.004x - 0.00004) 


The rate of decreasing is computed by:


(V-V1)/V * 100% = [1/3 * h *(0.004x - 0.00004)] / [1/3 * h * (x ^ 2)] * 100% this would be equal to (0.004x - 0.00004) / (x^2) * 100% 

So replace x by 200, you’ll get:

(0.004(200) - 0.00004) / (200^2) * 100% 

= 0.001999% is the rate of decreasing.

4 0
4 years ago
A medium can of tomato juice costs $0.92 and contains 46 ounces of tomato juice. A large can of tomato juice costs $3.60 and con
vlada-n [284]

Answer:

The medium-sized can is the cheaper by the oz, and is $0.005 per oz. cheaper.

Step-by-step explanation:

Medium can:  $0.92/(46 oz) = $0.020/oz

Large can:   $3.60 / (144 oz) = $0.025/oz

Surprisingly, the medium can price per oz. is lower than that of the large can.  The difference is $0.005 per oz.


6 0
4 years ago
In parallelogram MNPT, MZM - (6x + 10% and m2N - (5x + 10.5. How many<br> degrees is ZT?
Roman55 [17]
It will be 69• degreessssss bro bor8182)2(/
4 0
3 years ago
Maria jogged 3 miles in 3/5 hour. How many miles does Maria jog??
Taya2010 [7]

Answer:

5 miles

Step-by-step explanation:

YW

5 0
3 years ago
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