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2 years ago

A triangle has sides of 2 inches and 7 inches which is a possible lenght,in inches of the third side of the triangle

1 answer:

4 0

I feel that you might have meant to include choices. However, the options must fall within this range.

5<x<9

This is due to the fact that 2 sides combined must always be greater than the 3rd.

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A printer has a contract to print 100,000 posters for a political candidate. He can run the posters by using any number of plate

yulyashka [42]

Answer:

Step-by-step explanation:

From the given information;

Numbers of posters that can be printed in an hour = no of impression/hour × no of plate utilized in each impression.

= 1000x

Thus, the required number of hours it will take can be computed as:

$\implies \dfrac{100000}{1000x} \\ \\ =\dfrac{100}{x}$

cost per hour = 125

If each plate costs $20 to make, then the total number of plate will equal to 40x

∴

The total cost can be computed as:

$C(x) = (\dfrac{100}{x}) \times 125 + 20 x --- (1)$

$C'(x) = (-\dfrac{12500}{x^2}) + 20 --- (2)$

At C'(x) = 0

$\dfrac{12500}{x^2} = 20$

$\dfrac{12500}{20} = x^2$

$x^2= 625$

$x = \sqrt{625}$

x = 25

$C'' (x) = -12500 \times \dfrac{-2}{x^3} +0$

$C'' (x) = \dfrac{25000}{x^3}$

where; x = 25

$C'' (x) = \dfrac{25000}{25^3}$

C''(x) = 1.6

Thus, at x = 25, C'' > 0

As such, to minimize the cost, the printer needs to make 25 metal plates.

4 0

3 years ago

Kayla filled a bucket with 4 gallons of Water , she dumped exactly 1.o34 gallons . How much water is left in the buckets ?

yKpoI14uk [10]

4 - 1.034 = 2.966
There would be 2.966 gallons of water left in the bucket.

I hope this helps!

4 0

3 years ago

What is the truth value for the following conditional statement?

Studentka2010 [4]

Answer:

TT→T

Step-by-step explanation:

If p is false, then ~p is true.

If q is false, then ~q is true.

Now note that

If a and b are both true, then a→b is true.
If a is true, b is false, then a→b is false.
If a is false, b is true, then a→b is true.
If a and b are both false, then a→b is true.

In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)

3 0

3 years ago

write an expression with (-1) as its base that will produce a positive product, and explain why your answer is valid.

Simora [160]

........................................... i dont know, i dont remember doing this

3 0

3 years ago

Read 2 more answers

Help, please and thanks

Stella [2.4K]

Answer:

$18 \sqrt{5}$

or 40.2 in decimal form

8 0

3 years ago