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The absorbance of the given sample is 0.2076.

Length of the cuvette = 1 cm

Wavelength of the spectrophotometer = 620nm

Transmittance of the sample = 62%

We know, absorbance is related to transmittance by the formula written below;

A = log(1/T)                                                 equation 1

Also, percent transmittance %T = 100T

or we can write, T = (%T) / 100

On substituting value of T in equation 1 , we get

A = log(100/(%T))    

⇒ A = log(100) - log (%T)      

⇒ A = log([tex]10^{2}[/tex]) - log(%T)

⇒ A=  2log(10) - log(%T)    

We know, log10 = 1. On substituting the value of log 10 in above equation, we get

A = 2 - log(%T)

⇒ A = 2 - log(62)

⇒ A = 2 - 1.7924

⇒ A = 0.2076

The absorbance of the given sample is 0.2076.

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The slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]

We know that the slope-intercept form of the line is y =  mx + c, where m is the slope of the line and c is the y-intercept of the line.

For given question we have been given two points (-2,5) and (6,-4)

We need to find the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4).

Using two-point form the equation of the line is,

[tex]\frac{y-y_1}{y_2-y_1}=\frac{x-x_1}{x_2-x_1}[/tex]

Let (x1, y1) = (-2,5) and (x2, y2) = (6,-4)

So, the equation of the line is,

[tex]\frac{y-5}{-4-5} =\frac{x-(-2)}{6-(-2)}\\\\ \frac{y-5}{-9} =\frac{x+2}{6+2}\\\\\frac{y-5}{-9} =\frac{x+2}{8}\\\\ 8(y-5)=-9(x+2)\\\\8y-40=-9x-18\\\\8y=-9x-18+40\\\\8y=-9x+22\\\\y=-\frac{9}{8}x+\frac{11}{4}[/tex]

above equation is in the slope-intercept form.

Therefore, the slope-intercept equation of a line that passes through the points (-2,5) and (6,-4) is [tex]y=-\frac{9}{8}x+\frac{11}{4}[/tex]

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The answer is k⁴n⁶/3 after solving the expression.

Given, the expression is kn/3k⁻³n⁻⁵

now we must simplify the expression with the help of the negative exponent rule.

A base that is on the fraction line's denominator side can be indicated by a negative exponent. In other words, according to the negative exponent rule, a number with a negative exponent should be added to the numerator and vice versa.

that is, a⁻ⁿ = 1/aⁿ

therefore,  kn/3k⁻³n⁻⁵ = knk³n⁵/3

Multiply the monomials.

Monomials should be multiplied by adding the exponents to the coefficients before moving on to the variables. You can sum the exponents of monomials while multiplying them by the same base. The Product of Powers Property is used to describe this.

k⁴n⁶/3

Hence we get the answer after simplification as k⁴n⁶/3

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The simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.

Given the expression in the question;

8 + (-7)² - (7 × (-2) + 1 )

Simplify each term, raise -7 to the power 2

8 + (-7)² - (7 × (-2) + 1 )

8 + 49 - (7 × (-2) + 1 )

Multiply 7 by -2

8 + 49 - ( -14 + 1 )

Add -14 and 1

8 + 49 - ( -13)

Remove parenthesis by multiplying -1 by -13

8 + 49 + 13

Now, simplify by adding the number

8 + 49 + 13

57 + 13

70

Therefore, the simplified form of the expression 8 + (-7)² - (7 × (-2) + 1 ) is 70.

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Using translation concepts, the graph of h(x) = -3/x is given at the end of the answer. Compared to the parent function, it was vertically stretched by a factor of 3 and reflected over the x-axis.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For this problem, the parent and translated functions are given, respectively, by:

The translations are described as follows:

The graph of h(x) is given at the end of the answer, containing points such as:

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21 days before I had both the lessons together.

For the occurrence of two events at the same time we will find the least common multiple.

If I have piano lessons on every 7th day and tuba lessons on every 3rd day,

Least common multiple of 3 and 7 will be,

Multiples of 3 = 1 × 3

Multiples of 7 = 1 × 7

Least common multiple (LCM) of 3 and 7 = 3 × 7

                                                                   = 21

Therefore, 21 days before I had both the lessons together.

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Step-by-step explanation:

Hope that helps!!

Answer:

Below.

Step-by-step explanation:

a. True - it states that 4 is an element of Set P.

b False - 5 is an element of set Q .

   5 ∈ Q.

c. P ∩ Q = Ф True - This says that there are no common elements in P and Q   which is true.  Ф is the 'empty set'.

d. True: n(P) = 4 means there are 4 elements in P.

e. True: there are 4 elements in P and in S.

   S can be written as {3, 4, 5, 6} - that is the integers which are greater      than 2 and less than or equal to 6. The Z means the set of integers.

Answer:

Xyz E number

Step-by-step explanation:

I think Xyz is right

Answer:

  A.  AB = xyzx

Step-by-step explanation:

You want AB when A = BC, B = x, and C = yz.

You can evaluate the unknown expression by making substitutions until you can't anymore.

  AB = (BC)(B) . . . . . . . . substitute BC for A

  AB = ((x)(yz))(x) . . . . . . substitute x for B (2 places), yz for C

  AB = xyzx . . . . . . . . . . remove the unnecessary parentheses

Answer:

C. [tex]2^{3} x3^{2}[/tex]

Step-by-step explanation:

[tex]2^{3} x3^{2}[/tex]

[tex]2^{3} =8[/tex]

[tex]=8x[/tex]·[tex]3x^{2}[/tex]

[tex]3^{2} =9[/tex]

[tex]=8x[/tex]·[tex]9[/tex]

Then multiply 8 · 9 = 72

[tex]=72[/tex]

hopefully this helps you !

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

Rotation means the circular movement over the object around the center.

Vertices of triangle = A(1,1) , B(3,4), C(6,3)

Triangle is rotated counterclockwise about the origin 90°.

Then

the new coordinates of triangle are A', B', C'

A(1,1) = A'(-1,1)

B(3,4) = B'(-4,3)

C(6,3) = C'(-3,6)

The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)

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The length of the  Boca Grand Causeway is  126,000 feet

Multiplication is the continual addition of two or more numbers of equal sizes. The value gotten after multiplication is the product. Multiplication is one of the basic mathematical operations. The sign used to denote multiplication is x. Other basic mathematical operations include addition, subtraction and division.

Length of the Boca Grand Causeway = length of the golden gate bridge x 14

9,000 x 14 = 126,000 feet

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Using the distance formula, the distance between B and C is calculated as: 2.3 units.

The distance formula to apply is: d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

B (3,−4) = (x1, y1)

C (5,−5) = (x2, y2)

Plug in the values into the distance formula

BC = √[(5−3)² + (−5−(−4))²]

BC = √[(2)² + (−1)²]

BC = √(4 + 1)

BC = √5

BC = 2.236068 ≈ 2.3 units.

Therefore, using the distance formula, the distance between B and C is calculated as: 2.3 units.

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Answer:

72 months

Step-by-step explanation:

6 x 12 = 72

Answer:

2:5

Step-by-step explanation:

WHichever one they ask you for first is the first number in the ratio. Meaning 2 solid figures are 2:1 plain figures.

    a) Gas has a volume of 12 liters.

    b) 12 liters of oxygen gas will be consumed during the reaction.

Step-by-step explanation:

Moles of Substances:

We measure the quantity of atoms and molecules in moles, which is equal to 6.022 ×10²³, Avogadro's number, because they are too small to be counted or weighed individually. A substance's atomic mass is multiplied by Avogadro's number to get its mass in grams.

Here, Half a mole of carbon is equal to six grams of carbon. since 12 grams make up one mole of carbon. Since carbon dioxide has the chemical formula CO2, when a mole of carbon is fully combusted, it will result in the production of a mole of carbon dioxide gas.

a) Half a mole of gas has a volume of 12 liters because one mole of gas at RTP consumes 24 liters.

b) Due to the fact that each oxygen molecule contains two oxygen atoms and each carbon dioxide molecule contains two oxygen atoms, 12 liters of oxygen gas will be consumed during the reaction.

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Answer:

Step-by-step explanation:

Devante spent 2 dollars 43 cents

In this question,

A gum is 21 cents a pack and candy bars are 45 cents each.

Devante buy 3 packs of gum.

So for 3 packs of gum total amount would be,

3 × 21 = 63 cents

Devante buy 4 candy bars.

So for the four candy bars the total amount would be,

4 × 45 = 180 cents

Total purchase would be,

63 cents of packs of gum + 180 cents of candy bas

= 243 cents

We know that 1 dollar = 100 cents

S0, 243 cents = 2.43 dollars

Therefore, Devante spent 2 dollars 43 cents

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Hello,

[tex] \frac{8 {}^{5} }{8 {}^{ - 9} } = 8 {}^{5 - ( - 9)} = 8 {}^{5 + 9} = 8 {}^{14} [/tex]

The statistical test that should be done to determine if there is a significant difference is the independent t-test.

What're is an independent t-test?

It should be noted the independent t-test or students t-test for two samples should be used.

The Independent Samples T-Test compares the means of two independent groups to determine whether there is statistical evidence that the associated population means are significantly different.

In this case, the biology department needs to decide which lab curriculum yields better student outcomes, the.t text can be applicable.

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Answer:  The customer will pay 1.69$ for the mulch.

Step-by-step explanation:

7.30 = 1 Pound

0.3 = 3/10

3/10 x 7.30 or 3/10 of 7.30 = 2.19

2.19

2.19 = without coupon

1.69 = with coupon.

The total with 50 cents off is 1.69$.

The solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10

To do this, we simply solve the expressions one after the other

So, we have:

-3h ≤ 42

Divide both sides by -3

So, we have

h ≥ -14

-v/2 ≤ 9.5

Multiply both sides by -2

v ≥ -19

-4/5m ≥ -8

Multiply both sides by -5/4

m ≤ 10

Hence, the solutions to the inequalities are h ≥ -14, v ≥ -19 and m ≤ 10

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Answer: $5 for each candy bar.

Step-by-step explanation: Sarah bought a drink for $4 so, $44-$4=$40(leftover), now she bought 8 candy bars for $40:8=$5 (each candy bar cost)

The plotting of (-4,-11) coordinates is given below in the graph .

We have given a coordinate (-4,-11) which means that x - coordinate is -4 and y- coordinate is -11 .

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The complete question is mention below :

Plot (-4,-11) coordinates over the x -axis and y-axis .

Answer:

3 minutes

Step-by-step explanation:

there are many ways to answer this question you can on it later but im going to write the easiest here

4 plates is 2 minutes

find how many minutes for one plate and times it by 6

2 ÷ 4 = 1/2 minutes or 30 seconds

therefore;

1/2 × 6 = 3 minutes

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A speculative statement about the relationship between two or more variables is known as a b - hypothesis.

Variables:

A variable is a measurable trait or characteristic that is subject to change under different conditions.

Given,

Here we need to find what is meant by a speculative statement about the relationship between two or more variables.

The definition of Hypothesis is,

It is basically a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

So, a speculative statement about the relationship between two or more variables is known as a b - hypothesis.

So, the option (b) - Hypothesis is correct.

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The number that fits in the given situation is -20.

Now,

Let us suppose the number is x.

As a result, the next condition is twice the sum, which can be written as:

As a result of the condition, we can write the equation as:

Solve for x: x = 2x + 20

Taking 20 off both sides:

Therefore, the number that fits in the given situation is -20.

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Answer:

y = 6x + 9

Step-by-step explanation:

parallel lines have equal gradients.

y - y1 = m(x -x1)

since the lines are parallel your m = 6.

y - y1 = 6(x - x1)

(x1 ; y1) is given (0 ; 9)

y - 9 = 6 (x -0)

y = 6x + 9