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2 years ago

If you plot the absorbance measurements of solutions vs. their concentrations, what is the slope equal to:_______

Mathematics

1 answer:

Sauron [17]2 years ago

5 0

Answer:

Molar absorptivity coefficient

Step-by-step explanation:

Normally, from beer's law and molar extinction coefficients, the absorbance of a solution will vary with respect to the concentration or the change in the size of the container. Now, Molar absorptivity takes care of this change/variation by dividing by both the concentration and the length or measurement of the solution that the light passes through.

Since the molar absorptivity divides both the absorbance measurements and the corresponding concentrations, we can say it is the slope of the graph because the slope will be equal to the division of corresponding values of both parameters of absorbance and concentrations.

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Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta

Naddik [55]

Answer:

$Cot^2\theta-Csc^2\theta=-1$

Step-by-step explanation:

The only Pythagorean identities are:

$1. \ Sin^2\theta+Cos^2\theta=1$

$2. \ 1+Tan^2\theta=Sec^2\theta$

$3. \ 1+Cot^2\theta=Csc^2\theta$

$4. \ Sin^2\theta=1-Cos^2\theta\\ \ \ Cos^2\theta=1-Sin^2\theta$

Therefore, $Cot^2\theta-Csc^2\theta=-1$ is correct as it's one of the pythagorean identities.

4 0

2 years ago

Read 2 more answers

Two major automobile manufacturers have produced compact cars with engines of the same size. We are interested in determining wh

snow_tiger [21]

Answer:

Step-by-step explanation:

Corresponding fuel efficiencies of manufacturer A's car and manufacturer B's car form matched pairs.

The data for the test are the differences between the efficiencies of manufacturer A's car and manufacturer B's car

μd = fuel efficiency of manufacturer A's car minus the fuel efficiency of manufacturer B's car.

A B diff

32 28 4

27 22 5

26 27 - 1

26 24 2

25 24 1

29 25 4

31 28 3

25 27 - 2

Sample mean, xd

= (4 + 5 - 1 + 2 + 1 + 4 + 3 - 2)/8 = 2

xd = 2

Standard deviation = √(summation(x - mean)²/n

n = 8

Summation(x - mean)² = (4 - 2)^2 + (5 - 2)^2 + (- 1 - 2)^2 + (2 - 2)^2 + (1 - 2)^2 + (4 - 2)^2 + (3 - 2)^2 + (- 2 - 2)^2 = 44

Standard deviation = √(44/8

sd = 2.35

For the null hypothesis

H0: μd = 0

For the alternative hypothesis

H1: μd ≠ 0

This is a two tailed test and the distribution is a students t. Therefore, degree of freedom, df = n - 1 = 8 - 1 = 7

2) The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (2 - 0)/(2.35/√8)

t = 2.41

We would determine the probability value by using the t test calculator.

p = 0.047

Since alpha, 0.1 > the p value 0.047, then we would reject the null hypothesis. Therefore, at 1% significance level, we can conclude that there is a significant difference in the mean MPG (miles per gallon) when testing for the fuel efficiency of these two brands of automobiles.

6 0

2 years ago

Raina is on the swim team. Each day she swims 750m . How far does she swim in 5 days?

Sav [38]

1 day = 750 m

1 * 7 = 750 * 7

7 days = 5250 m

Now, since 1 km = 1000 m, this means in order to convert from meters to kilometers you must divide by 1000

5250 / 1000

= 5.25 km

Or, you could do the hard way by going to wolfram alpha / google and typing 5250 m to km.

Hope this helps!

8 0

2 years ago

Read 2 more answers

At a particular restaurant, each mini hotdog has 80 calories and each pizza roll has 50 calories. A combination meal with mini h

cestrela7 [59]

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Step-by-step explanation:

Given,

Calories in each hotdog = 80 calories

Calories in each mini pizza = 50 calories

Combined meal = 20

Combined calories = 1450 calories

Let,

x represent the number of hot dogs.

y represent the number of mini pizzas.

According to given statement;

x+y=20 Eqn 1

80x+50y=1450 Eqn 2

Multiplying Eqn 1 by 80

$80(x+y=20)\\80x+80y=1600\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(80x+80y)-(80x+50y)=1600-1450\\80x+80y-80x-50y=150\\30y=150$

Dividing both sides by 30

$\frac{30y}{30}=\frac{150}{30}\\y=5$

Putting y=5 in Eqn 1

$x+5=20\\x=20-5\\x=15$

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

7 0

2 years ago

Jim lost 4 lbs each week for 10 weeks. Express his total weight change as an integer.

yKpoI14uk [10]

Answer:

4:10

Step-by-step explanation

7 0

2 years ago

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