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2 years ago

IN A CRISIS RN SO COULD SOMEONE PLEASE HELP ME?

Mathematics

2 answers:

Lana71 [14]2 years ago

7 0

Answer:

Step-by-step explanation:

sesenic [268]2 years ago

5 0

Answer:Use math Papa

Step-by-step explanation:

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A rectangular area of 36 f t2 is to be fenced off. Three sides will use fencing costing $1 per foot and the remaining side will

OLga [1]

Answer:

x = 8,49 ft

y = 4,24 ft

Step-by-step explanation:

Let x be the longer side of rectangle and y the shorter

Area of rectangle = 36 ft² 36 = x* y ⇒ y =36/x

Perimeter of rectangle:

P = 2x + 2y for convinience we will write it as P = ( 2x + y ) + y

C(x,y) = 1 * ( 2x + y ) + 3* y

The cost equation as function of x is:

C(x) = 2x + 36/x + 108/x

C(x) = 2x + 144/x

Taking derivatives on both sides of the equation

C´(x) = 2 - 144/x²

C´(x) = 0 2 - 144/x² = 0 ⇒ 2x² -144 = 0 ⇒ x² = 72

x = 8,49 ft y = 36/8.49 y = 4,24 ft

How can we be sure that value will give us a minimun

We get second derivative

C´(x) = 2 - 144/x² ⇒C´´(x) = 2x (144)/ x⁴

so C´´(x) > 0

condition for a minimum

7 0

3 years ago

A factory increased its production by 22.5% and produced 4900 tonnes .How many tonnes was it producing before?

Liono4ka [1.6K]

Answer:

It produced 3797.5 tons before.

22.5% of 4900 is 1102.5

That subtracted from 4900 is 3797.5 tons

7 0

3 years ago

Read 2 more answers

What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64

marshall27 [118]

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are $2x+y\geq 8$ -------(1)

$x+y \geq 6$ ------------- (2)

$x \geq 0$ , $y \geq 0$ -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, $2\times 0+0\geq 8$ ⇒ $0\geq 8$ ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, $0+0\geq 6$ ⇒ $0\geq 6$ ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4), C= 46

At B≡(6,0), C= 42

Thus at B, C is minimum, And its minimum value = 42

5 0

3 years ago

Read 2 more answers

In the last year, U.S. car sales of all makes and models have dropped by 16%. Let's say that a car dealer sells 325 cars. If thi

IRINA_888 [86]

Answer:

c. 273 cars

Step-by-step explanation:

First you need to find what 16% of 325 is

325x.16=52

because the number sold dropped by 16% you will subtract 52 from 325

325-52=273

you can also calculate the answer by subtracting 100% by 16%

100%-16%=84%

now you can calculate 84% of 325

325x.84=273

6 0

2 years ago

the second term of a geometric sequence is 18 and the fourth term is 8 find the common ratio . And find the sum of the first 6 t

777dan777 [17]

Answer:

ratio: 2/3
sum: 73 8/9

Step-by-step explanation:

The general term of a geometric sequence is ...

an = a1·r^(n-1)

You have the 2nd and 4th terms, so ...

a2 = a1·r^(2-1) = a1·r

a4 = a1·r^(4-1) = a1·r^3

We can find r from the ratio ...

a4/a2 = (a1·r^3)/(a1·r) = r^2 = 8/18 = 4/9

Then r is ...

r = √(4/9) = 2/3 . . . . the common ratio

The first term is ...

a2 = 18 = a1·(2/3)

a1 = (3/2)·18 = 27

The sum of the first 6 terms is ...

Sn = a1·(r^n -1)/(r -1)

S6 = 27·((2/3)^6 -1)/(2/3 -1)

S6 = 27·(64/729-1)/(2/3-1) = (27)(665)/243 = 73 8/9

The sum of the first 6 terms is 73 8/9.

_____

<em>Check on the sum</em>

The first 6 terms are ...

27, 18, 12, 8, 5 1/3, 3 5/9

Their sum is 73 8/9, as above.

8 0

3 years ago