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marysya [2.9K]
3 years ago
10

Distance between -1.75 and 1.5 on a number line

Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

3.25

Step-by-step explanation:

I am glad to help you

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Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a
Amanda [17]

The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are \mathbf{10\sqrt{10 },10\sqrt{10 }}

The area is given as:

\mathbf{A = 1000}

Let the dimension be x and y.

So, we have:

\mathbf{A = xy = 1000}

Make x the subject

\mathbf{x = \frac{1000}{y}}

The perimeter is calculated as:

\mathbf{P = 2(x + y)}

Substitute \mathbf{x = \frac{1000}{y}}

\mathbf{P = 2(\frac{1000}{y} + y)}

Expand

\mathbf{P = \frac{2000}{y} + 2y}

Differentiate

\mathbf{P' = -\frac{2000}{y^2} + 2}

Set to 0

\mathbf{ -\frac{2000}{y^2} + 2 = 0}

Rewrite as:

\mathbf{ -\frac{2000}{y^2}  = -2}

Divide both sides by -1

\mathbf{\frac{2000}{y^2}  = 2}

Multiply y^2

\mathbf{2000  = 2y^2}

Divide by 2

\mathbf{1000  = y^2}

Take square roots of both sides

\mathbf{y = \sqrt{1000 }}

\mathbf{y = 10\sqrt{10 }}

Substitute \mathbf{y = \sqrt{1000 }} in \mathbf{x = \frac{1000}{y}}

\mathbf{x = \frac{1000}{\sqrt{1000}}}

\mathbf{x = \sqrt{1000}}

\mathbf{x = 10\sqrt{10 }}

Hence, the dimensions that minimize the perimeter are \mathbf{10\sqrt{10 },10\sqrt{10 }}

Read more about perimeters at:

brainly.com/question/6465134

8 0
3 years ago
Answer the original questions. (2 points: 1 point ea a) How long is each individual act? b) How long is each group act​
Rufina [12.5K]

Answer:

a) Each individual act will last 5 minutes.

b) Each group act will last 10 minutes.

Step-by-step explanation:

I think this is right

5 0
3 years ago
Joy is making hand-painted ornaments for
Nutka1998 [239]

Answer:

1 ornament per 3 hours

in 15 hours she will have 7.5 of them done

7 0
2 years ago
Read 2 more answers
Help, will give Brainliest and five stars
frez [133]
Let's see if we can't be logical here......Pick a formula and see what it yields. For example, choose D.

For n = 1 ---> -1 x 4^1 ----> -1 x 4 = -4, when the correct value is 1. Therefore D is out.

Try C. For n = 1 ---> 1 x 4^(1-1) ---> 1 x 4^0 ----> 1 x1 ---> 1, So it is correct for n =1. How about
n=2? 1 x 4^(2-1) = 1 x 4^1 = 1 x 4 = 4, when the correct answer is -4. Therefore C is out

I'm sure you can do the remaining two choices....
8 0
4 years ago
Read 2 more answers
Phil takes out a bank loan of $150 000 to buy a house, at an annual interest rate of 3.5%. The interest is calculated at the end
Deffense [45]

Answer:

You would owe the bank <u>$105,000</u> in interest after 20 years.

Step-by-step explanation:

You first have to find what the one-year interest dollar amount, which is $5,250.

Then you simply multiply the one year dollar amount, by 20. (years).

20  x   $5,250  =  $105,000

giving you your final answer of <u><em>$105,000</em></u>

8 0
1 year ago
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