MATHEMATICS HIGH SCHOOL

A rectangular plot of ground is 5 meters longer than it is wide. Its area is 20,000 square meters.which equation will help you find dimensions?
Let w=width
a- w+2(w+5)=20,000
b- w(w+5)=20,000
c- (w(w+5))/2 = 20,000
d- w^2=20,000+5

Answers

Answer 1
Answer:

Answer:

b- w(w+5)=20,000

Step-by-step explanation:

please mark this answer as brainliest

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Find dy/dx if y= (1+x)e^x^2

Answers

y=(1+x)e^(x^2)\ny'=(1+x)'\cdot e^(x^2)+(1+x)\cdot(e^(x^2))'\ny'=1\cdot e^(x^2)+(1+x)\cdot e^(x^2)\cdot (x^2)'\ny'=e^(x^2)+(1+x)e^(x^2)\cdot2x\ny'=e^(x^2)(1+(1+x)\cdot2x)\ny'=e^(x^2)(1+2x+2x^2)\ny'=e^(x^2)(2x^2+2x+1)\n
You first need to know that:

If\quad y=u\cdot v\n \n \frac { dy }{ dx } =u\frac { dv }{ dx } +v\frac { du }{ dx } \n \n

Knowing that u is a function of x and that v is a function of x.

So:

y=\left( 1+x \right) { e }^{ { x }^( 2 ) }=u\cdot v\n \n u=1+x,\n \n \therefore \quad \frac { du }{ dx } =1

\n \n v={ e }^{ { x }^( 2 ) }={ e }^( p )\n \n \therefore \quad \frac { dv }{ dp } ={ e }^( p )={ e }^{ { x }^( 2 ) }\n \n p={ x }^( 2 )\n \n \n \therefore \quad \frac { dp }{ dx } =2x

\n \n \therefore \quad \frac { dv }{ dp } \cdot \frac { dp }{ dx } =2x{ e }^{ { x }^( 2 ) }=\frac { dv }{ dx }

And this means that:

\frac { dy }{ dx } =\left( 1+x \right) \cdot 2x{ e }^{ { x }^( 2 ) }+{ e }^{ { x }^( 2 ) }\cdot 1\n \n =2x{ e }^{ { x }^( 2 ) }\left( 1+x \right) +{ e }^{ { x }^( 2 ) }

\n \n ={ e }^{ { x }^( 2 ) }\left( 2x\left( 1+x \right) +1 \right) \n \n ={ e }^{ { x }^( 2 ) }\left( 2x+2{ x }^( 2 )+1 \right) \n \n ={ e }^{ { x }^( 2 ) }\left( 2{ x }^( 2 )+2x+1 \right)

156 inches = how many yards and how many feet

Answers

yards=4.33 repeating 
foot=13 
156 inches equals 13 feet, or 4.333 yards
Hope I helped!

There are 12 inches in each foot, and 156/12=13.
There are 36 inches in each yard, and 156/36=4.333

Use multiplication to solve the proportion
35/28 = n/12

Answers

Answer:

n=15, 35/28=15/12

Step-by-step explanation:

28/12=2.33

35/2.33= 15

A carton of paper is priced at $27.00 now. If the papergoes on sale for 25% off the current price, what will be the sale price of the carton?

Answers

If a pack of paper costs $27.00 right now. If the paper is discounted by 25% from its regular price, the carton will be sold for $6.75.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Given that a carton of paper costs $27.00 right now, If the price of the paper is discounted by 25%,

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

The sale price of the carton is,

sale price = 25% of the current price

sale price =(25/100)× $27.00

sale price = $6.75

Thus, if a pack of paper costs $27.00 right now. If the paper is discounted by 25% from its regular price, the carton will be sold for $6.75.

Learn more about the percentage here:

brainly.com/question/8011401

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Divide the 27 by 4 and that will give you 6.75. Subract the 6.75 from the 27 and theres your answer (20.25) so the sale price is $20.25

Area of a Trapezoid = 791 square cm. Base 1 = 26.5cm, Base 2 = 30cm. What is the height?

Answers

A=1/2(h)(b1+b2)
791=1/2(h)(26.5+30)
791=1/2(h)(56.5)
1582=(h)(56.5)
28=h

Can somemone help with this one with an explination its one question

Answers

What question is it bro/sis?
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