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3 years ago

A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and

Mathematics

1 answer:

sdas [7]3 years ago

3 0

Answer: 24 plants

Step-by-step explanation:

1000 is not a perfect square.

31^2 < 1000 < 32^2

Required no. of trees = 32^2 − 1000

= 1024 − 1000

= 24

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Use f(x) = 1/2 x and f -1(x) = 2x to solve the problems. f(2) = 1 f−1(1) = 2 f−1(f(2)) = 2 f−1(−2) = f(−4) = f(f−1(−2)) =

vampirchik [111]

Answer:

In this problem, we are given the following functions:

$f(x)=\frac{1}{2}x$

and its inverse function:

$f^{-1}(x)=2x$

First of all, we want to calculate $f(2)$ . This can be obtained by substituting

x = 2

into f(x). Doing so, we find:

$f(2)=\frac{1}{2}\cdot 2 = 1$

Then we want to calculate $f^{-1}(1)$ . We can do it by substituting

x = 1

into $f^{-1}(x)$ . Doing so,

$f^{-1}(1)=2\cdot 1 = 2$

Then we want to calculate $f^{-1}(f(2))$ , which can be found by calculating f(2) and then using it as input for $f^{-1}(x).$ We know that

f(2) = 1

Therefore,

$f^{-1}(f(2))=f^{-1}(1)=2$

Then we want to calculate $f^{-1}(-2)$ , which can be calculated by plugging

x = -2

into $f^{-1}(x)$ . Doing so,

$f^{-1}(-2)=2\cdot (-2)=-4$

Then we want to calculate $f(-4)$ ; by substituting

x = 4

into f(x), we find

$f(-4)=\frac{1}{2}\cdot (-4)=-2$

Finally, we want to find $f(f^{-1}(-2))$

We know already that

$f^{-1}(-2)=-4$

So we have:

$f(f^{-1}(-2))=f(-4)=-2$

7 0

2 years ago

Read 2 more answers

Is the word addition a collective, abstract or concrete noun?

Semenov [28]

Answer:

Should be a collective noun.

For example: In addition to those...

4 0

2 years ago

Maria built a tool that checks the rate of flow of liquid from one container to another. The tool consists of a cylindrical cont

Minchanka [31]

Answer:

I think it is c 266.3 cubic centimeters

Step-by-step explanation:

Hope this helps

7 0

2 years ago

What is the solution to the equation x2 +6x=40

eimsori [14]

Answer:

x=10 x=-4

Step-by-step explanation:

x^2 +6x = 40

subtract 40 from each side

x^2 +6x -40 = 0

what numbers multiply to -40 and add to 6

-10 *4 = -40 -10 +4 = 6

(x-10) (x+4) = 0

using the zero product property

x-10 = 0 x+4 =0

x=10 x=-4

7 0

3 years ago

Read 2 more answers

Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each

Alexandra [31]

Answer:

(a) $3\frac{2}{3}$ boxes of cat food had been sold.

(b) $\frac{11}{3}$ boxes of cat food had been sold.

Step-by-step explanation:

From the question,

Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,

5 × 15 tins of cat food were stacked onto the empty shelf.

5 × 15 = 75

Hence, 75 tins of cat food were stacked onto the empty shelf.

Also, from the question,

At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is

75 - 20 tins had been sold

75 - 20 = 55

Hence, 55 tins of cat food had been sold.

To determine the number of boxes of cat food that had been sold,

Since there are 15 tins of cat food per box, then

we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box

55 ÷ 15 = $\frac{55}{15}$

Hence, $\frac{55}{15}$ boxes of cat food had been sold

(a) As a mixed number

$\frac{55}{15} = 3\frac{2}{3}$

Hence, $3\frac{2}{3}$ boxes of cat food had been sold.

(b) As an improper fraction

$\frac{55}{15} = \frac{11}{3}$

Hence, $\frac{11}{3}$ boxes of cat food had been sold.

7 0

3 years ago

​A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and

A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and