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3 years ago

77. 003 x 3.789 ? All steps if you can please

Mathematics

1 answer:

AleksAgata [21]3 years ago

5 0

Answer:

Step-by-step explanation:

77.003

3.789

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Multiply starting with the top 3 and go right to left. 291.764367 is the answer and simplified is 292. You can watch videos on multiplying decimials and seeing it will help you understand I promise. goodluck <3

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Consider the following problem: A farmer with 950 ft of fencing wants to enclose a rectangular area and then divide it into four

shutvik [7]

Answer:

Largest possible total area of the four pens is $22562.5\:ft^{2}$

Step-by-step explanation:

Assume width as x and length as y. Given that length of fencing is 950 feet which encloses rectangular area which is divided into four pens as shown in diagram ( Refer to attachment),

So perimeter of the rectangular area as per diagram is given as,

Perimeter = width + width + width + width + width + length+ length

Substituting the value,

$950=x+x+x+x+x+y+y$ ….1

Now area of rectangular diagram is given as follows,

$A=xy$ ….2

Solving equation 1 for y, subtracting 2x from both sides,

$\dfrac{950-5x}{2}= y$

$475-\dfrac{5x}{2}= y$

Substituting the value in equation 2,

$A=x\left(475-\dfrac{5x}{2}\right)$

Simplifying

$A=475x-\dfrac{5x^{2}}{2}$

To find the largest possible area, differentiate A with respect to x,

$\dfrac{dA}{dx}=\dfrac{d}{dx}\left(475x-\dfrac{5x^{2}}{2}\right)$

Applying sum rule of derivative,

$\dfrac{dA}{dx}=\dfrac{d}{dx}\left(475x\right)-\dfrac{d}{dx}\left(\dfrac{5x^{2}}{2}\right)$

Applying constant multiple rule of derivative,

$\dfrac{dA}{dx}=475\dfrac{d}{dx}\left(x\right)-\dfrac{5}{2}\dfrac{d}{dx}\left(x^{2}\right)$

Applying power rule of derivative,

$\dfrac{dA}{dx}=475\left(1x^{1-1}\right)-\dfrac{5}{2}\left(2x^{2-1}\right)$

$\dfrac{dA}{dx}=475\left(x\right)-\dfrac{5}{2}\left(2x\right)$

$\dfrac{dA}{dx}=475-5x$

Now find the critical number by solving as follows,

$\dfrac{dA}{dx}=0$

$475-5x =0$

$475=5x$

$95=x$

Since there is only one critical point, directly substitute the value of x into equation of A,

$A=475\left(95\right)-\dfrac{5\left(95\right)^{2}}{2}$

Simplifying,

$A=45125-\dfrac{45125}{2}$

$A=\dfrac{45125}{2}$

So, the largest possible area is $22562.5\:ft^{2}$

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4 years ago

Solve the inequality <br> g/-100=6

kkurt [141]

Answer:

g = -600

Step-by-step explanation:

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3 years ago

What is the mean absolute deviation of 6 15 7 14 11 13 15 15

Anettt [7]

U gotta add all the numbers then divide them by the amount of numbers there are. So divide them by 8 after u add

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3 years ago

The LA Dodgers hit the most home runs in 2014. The number of home runs accounted for 6% of the entire Major League Baseball home

scoray [572]

Answer:

Approximately 35 home runs

Step-by-step explanation:

we know that

$6\%=6/100=0.06$

To find out how many home runs the LA Angeles Dodgers hit, multiply the total home runs by 0.06

$583(0.06)=34.98\ home-runs$

therefore

Approximately 35 home runs

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3 years ago

She has found that 5 out of 7 seeds produce corn. She wants to have 10,000 corn bearing plants. How many seeds should see plant

Anton [14]

It would take 70,000 seeds if five out of seven are good. So over a quantity of 50,000 plants desired, you would sow 70,000 seeds. As 20,000 would statistically fail.

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3 years ago