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3 years ago

15

Help with this math question

1 answer:

Art [367]3 years ago

5 0

Answer: option J: 128 joules

Explanation:

1) From the table you try to find which relation best fits the data.

2) Your best first assumption is that the data may fit a proportional relation.

3) To prove that you find the ratio of Energy ouput to Amount of chemicals.

Doing that you find:
20 32 48 60
----- = ------- = ------ = ------ = 4
5 8 12 15

4) Then you have found a direct relation whose ratio is 4 joules / mol. So, you can apply that constant to the number of moles given:

Energy = 4 joules / mol × 32 mol = 128 joules

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Fill in the blanks below.

Dmitry_Shevchenko [17]

Answer:

a) <em>Slope of the line m = ∞</em>

<em>b) Slope of the line m =0</em>

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<u><em>Step(i):-</em></u>

<em>Given points are ( 7,7) and (7,-8)</em>

<em>Slope of the line</em>

<em> </em> $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$ <em />

<em> </em> $m = \frac{-8-7 }{7-7 } = \frac{-15}{0} = infinite$ <em />

<em> m = ∞</em>

<u><em>Step(ii):-</em></u>

Given points are (-6,7) and (9,7)

<em>Slope of the line</em>

<em> </em> $m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }$ <em />

<em> </em> $m = \frac{7-7 }{9-(-6) } = \frac{0}{15} = 0$ <em />

<em>Slope of the line m =0</em>

6 0

2 years ago

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

amm1812

Answer: c. 0.0778

Step-by-step explanation:

Let X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

$P(X=x)=^nC_xp^x(1-p)^{n-x}$

We have ,

$P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778$

Thus , the correct answer is option c. 0.0778

8 0

3 years ago

Calculate the length of ac

svlad2 [7]

Answer:

12.1 cm

Step-by-step explanation:

Using the law of sines, we can find angle C. Then from the sum of angles, we can find angle B. The law of sines again will tell us the length AC.

sin(C)/c = sin(A)/a

C = arcsin((c/a)sin(A)) = arcsin(8.2/13.5·sin(81°)) ≈ 36.86°

Then angle B is ...

B = 180° -A -C = 180° -81° -36.86° = 62.14°

and side b is ...

b/sin(B) = a/sin(A)

b = a·sin(B)/sin(A) = 13.5·sin(62.14°)/sin(81°) ≈ 12.0835

The length of AC is about 12.1 cm.

_____

<em>Comment on the solution</em>

The problem can also be solved using the law of cosines. The equation is ...

13.5² = 8.2² +b² -2·8.2·b·cos(81°)

This is a quadratic in b. Its solution can be found using the quadratic formula or by completing the square.

b = 8.2·cos(81°) +√(13.5² -8.2² +(8.2·cos(81°))²)

b = 8.2·cos(81°) +√(13.5² -(8.2·sin(81°))²) . . . . . simplified a bit

3 0

2 years ago

Read 2 more answers

Marc drinks a 57-ounce protein shake containing 97calories per 19 ounces. How many calories did he drink?

valentina_108 [34]

57 = 3 * 19 so he drank 97 * 3 = 291 calories (answer)

5 0

3 years ago

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Which three statements below are true about an acute isosceles triangle?two side measures are the sameall angle measures are les

lubasha [3.4K]

Two side measures are the same
all angle measures less than 90°
two angle measures are the same

3 0

2 years ago

Read 2 more answers