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3 years ago

Question 1

Mathematics

1 answer:

mamaluj [8]3 years ago

4 0

Answer:

The maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.

Step-by-step explanation:

Given : A total of 1,000 BTUs are needed to cool a space. If 2.5 BTUs are needed to cool 1 cubic foot of space.

To find : What is the maximum volume of space that 1,000 BTUs will cool?

Solution :

Applying unitary method,

2.5 BTU are needed to cool 1 cubic foot of space.

So, 1 BTU are needed to cool $\frac{1}{2.5}$ cubic foot of space.

Then,1000 BTU are needed to cool $\frac{1}{2.5}\times 1000$ cubic foot of space.

i.e. 1000 BTU are needed to cool 400 cubic foot of space.

Therefore, the maximum volume of space that 1,000 BTUs will cool is 400 cubic foot.

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Can someone please answer this question please answer it correctly please show work

Zina [86]

Answer:

34) A

35) C

36) D

Step-by-step explanation:

34) The perimeter of a triangle is equal to the sum of the lengths of its sides

Sides: (6.2p + 4.5q) + (3.4p - 0.7r) + (2.9r - 4.1q)

Combine like terms (same variables)

(6.2p + 3.4p) + (4.5q - 4.1q) + (2.9r - 0.7r)

9.6p + 0.4q + 2.2r

35)

Time possibilities

1 hour - $3 - $5 = $-2 No

2 hours - $6 - $5 = $1 Yes

3 hours - $9 - $5 = $4 Yes

4 hours - $12 - $5 = $7 Yes

5 hours - $15 - $5 = $10 Yes

6 hours - $18 - $5 = $13 Yes

7 hours - $21 - $5 = $16 Yes

8 hours - $24 - $5 = $19 No

9 hours - $27 - $5 = $22 No

The possible hours that Ms. Barnes can park are 2 - 7 hours

The only inequality graph that represents all of these values is C

36)

Convert to improper fractions

Divide by finding the reciprocal

Convert back to a mixed number

$-1\frac{7}{9}$

Hope this helps :)

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3 years ago

A certain circle can be represented by the following question

Alex_Xolod [135]

Mc hammer decided by fast

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3 years ago

We define x as a year between 2008 and 2013 and y as the total number of smartphones sold that year, in

stepan [7]

17.3 million smartphones were sold in 2009

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3 years ago

Read 2 more answers

Multiply<br><br> Which one ??? Please help

vladimir1956 [14]

Answer:

The 3rd one again

Step-by-step explanation:

(a+−2)(8 $a^{2}$ +−5a+3)

=(a)(8 $a^{2}$ )+(a)(−5a)+(a)(3)+(−2)(8 $a^{2}$ )+(−2)(−5a)+(−2)(3)

=8 $a^{3}$ −5 $a^{2}$ +3a−16 $a^{2}$ +10a−6

=8 $a^{3}$ −21 $a^{2}$ +13a−6

hope this helped:)

7 0

3 years ago

Military radar and missile detection systems are designed to warn a coutry of an enemy attack. Assume that a particular detectio

Tom [10]

Answer:

0.96 = 96% probability that at least one of them detect an enemy attack.

Step-by-step explanation:

For each radar, there are only two possible outcomes. Either it detects the attack, or it does not. The missiles are operated independently, which means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Assume that a particular detection system has a 0.80 probability of detecting a missile attack.

This means that $p = 0.8$

If two military radars are installed in two different areas and they operate independently, the probability that at least one of them detect an enemy attack is

This is $P(X \geq 1)$ when $n = 2$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.8)^{0}.(0.2)^{2} = 0.04$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.04 = 0.96$

0.96 = 96% probability that at least one of them detect an enemy attack.

6 0

3 years ago