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4 years ago

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Complete the following statements in relation to the third term in the expansion of the binomial (2x+y^2)^5 coefficient = The po

wer of x = . The power of y =

1 answer:

igor_vitrenko [27]4 years ago

4 0

So the power of x will be 5 and the power of y will be 10

hope this will help you

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Area of a rectangle is 540 sq m. If the length was reduced by 5m and the width was increased by 5m, the are of the rectangle wil

wlad13 [49]

$l-length\\w-width\\\\\text{The formula of an area of a rectangle:}\ V=lw\\\\\text{We have the area}\ 540\ m^2\to lw=540\\\\\text{New rectangle}\\\\l-5-length\\w+5-width\\\\\text{We have the area}\ 540\ m^2+35\ m^2=575\ m^2\to (l-5)(w+5)=575\\\\\text{Therefore we have the system of equation:}\\\\\left\{\begin{array}{ccc}lw=540&\to w=\dfrac{540}{l}&(*)\\(l-5)(w+5)=575&&(**)\end{array}\right\\\\\text{Substitute}\ (*)\ \text{to}\ (**)$

$(l-5)\left(\dfrac{540}{l}+5\right)=575\qquad\text{use distributive property}\\\\(l)\left(\dfrac{540}{l}\right)+(5)(l)-(5)\left(\dfrac{540}{l}\right)-(5)(5)=575\\\\540+5l-\dfrac{2700}{l}-25=575\\\\515+5l-\dfrac{2700}{l}=575\qquad\text{subtract 575 from both sides}\\\\-60+5l-\dfrac{2700}{l}=0\qquad\text{multiply both sides by }\ l\neq0\\\\-60l+5l^2-2700=0\\\\5l^2-60l-2700=0\qquad\text{divide both sides by 5}\\\\l^2-12l-540=0\\\\l^2+30l-18l-540=0\\\\l(l+30)-18(l+30)=0\\\\(l+30)(l-18)=0\iff l+30=0\ \vee\ l-18=0\\\\l=-30$

$\text{Substitute the value of}\ l\ \text{to}\ (*):\\\\w=\dfrac{540}{18}\\\\\boxed{w=30\ cm}$

$Answer:\ \boxed{length=18\ cm,\ width=30\ cm}$

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3 years ago

How do you found any quantity of any ratio

Cerrena [4.2K]

Answer: the second quantity is 90

Step-by-step explanation:

You divide the first quantity by the first ratio then multiply your answer by the second ratio

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3 years ago

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The u.s. produces 5.39x 10

Lisa [10]

Answer: 53.9

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3 years ago

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What is the GPA for 88.69% 87.15% 75.35% 67.78% 63.14% 51.44%?<br> i just want to know.

lorasvet [3.4K]

The GPA for the following on the scale of 4 GPA are; 88.69% -3.3, 87.15% - 3.3, 75.35% - 2.0 , 67.78% - 1.3, 63.14% - 1.0, 51.44% - 0.0

<h3>What is GPA?</h3>

The Term GPA is a combined GPA or grade point average of all grades you have earned in a semester or term.

The Cumulative GPA is the overall GPA or grade point average of all cumulative GPA's that are earned in all semesters and all the courses in an academic term.

The GPA is total of averaged per semester; while the cumulative GPA is the total of all grades for all semesters That is; the difference between GPA and cumulative GPA.

The GPA for the following on the scale of 4 GPA are;

88.69% -3.3

87.15% - 3.3

75.35% - 2.0

67.78% - 1.3

63.14% - 1.0

51.44% - 0.0

Learn more about the GPA here;

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2 years ago

250$ is invested at a bank that pays7% interest.Calculate the amount of money in the account after 1 year, 3 years, 7 years, 20

Vesna [10]

One year = $267.50

Three Years = $302.50

Seven Years = $372.50

Twenty Years = $600.00

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Mark Brainiest!

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3 years ago