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Kazeer [188]
3 years ago
15

List the values shown on the number line

Mathematics
2 answers:
larisa [96]3 years ago
6 0

Answer:

-4, -2.8, 0.5, 3.1

Step-by-step explanation:

Studentka2010 [4]3 years ago
5 0

Answer:

-4, -2.8, 0.5, 1.3, 3

Step-by-step explanation:

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A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft and on the other three s
makvit [3.9K]

Answer:

The dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

Step-by-step explanation:

Let the length of garden be x

Let the breadth of garden be y

Area of Rectangular garden = Length \times Breadth = xy

We are given that the area of the garden is 122 square feet

So, xy=122 ---A

A landscape architect wished to enclose a rectangular garden on one side by a brick wall costing $20/ft

So, cost of brick along length x = 20 x

On the other three sides by a metal fence costing $10/ft.

So, Other three side s = x+2y

So, cost of brick along the other three sides= 10(x+2y)

So, Total cost = 20x+10(x+2y)=20x+10x+20y=30x+20y

Total cost = 30x+20y

Substitute the value of y from A

Total cost = 30x+20(\frac{122}{x})

Total cost = \frac{2440}{x}+30x

Now take the derivative to minimize the cost

f(x)=\frac{2440}{x}+30x

f'(x)=-\frac{2440}{x^2}+30

Equate it equal to 0

0=-\frac{2440}{x^2}+30

\frac{2440}{x^2}=30

\sqrt{\frac{2440}{30}}=x

9.018 =x

Now check whether it is minimum or not

take second derivative

f'(x)=-\frac{2440}{x^2}+30

f''(x)=-(-2)\frac{2440}{x^3}

Substitute the value of x

f''(x)=-(-2)\frac{2440}{(9.018)^3}

f''(x)=6.6540

Since it is positive ,So the x is minimum

Now find y

Substitute the value of x in A

(9.018)y=122

y=\frac{122}{9.018}

y=13.528

Hence the dimensions of the garden that minimize the cost is 9.018 feet(length) and 13.528 feet(width)

4 0
3 years ago
Let t = 4 and u = 6 + 2i. Find t – u
hjlf

Step-by-step explanation:

t = 4

u = 6 + 2

Find t - u

solu

t - u

= 4 - ( 6 + 2 ) = 4 - 8

Answer is -4

5 0
3 years ago
Write two equivalent expressions to represent the area of the rectangle below.
Goshia [24]

Answer:

A=(n-3)2\ units^2

A=(2n-6)\ units^2

Step-by-step explanation:

we know that

The area of rectangle is equal to

A=LW

where

L is the length of rectangle

W is the width of rectangle

In this problem we have

L=(n-3)\ units\\W=2\ units

substitute

A=(n-3)2\ units^2

Apply distributive property

A=2(n)-2(3)

A=(2n-6)\ units^2

4 0
3 years ago
What is the volume of the prism<br>​
Alexus [3.1K]

Answer:

the answer is 18

Step-by-step explanation:

6 0
3 years ago
What is the slope of -5/8 and goes through the point (2,-3)
Natalka [10]
The answer is -11/7 as a mixed number it is( -1 4/7)
4 0
3 years ago
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