-1 > -2(x-4) - 5 (4x - 7 )

Answers

Answer 1

Step-by-step explanation:

[tex] - 1 > - 2(x - 4) - 5(4x - 7) \\ - 1 > - 2x + 8 - 20x + 35 \\ - 1 > - 2x - 20x + 8 + 35 \\ - 1 > - 22x + 43 \\ 22x > 43 + 1 \\ 22x > 44 \\ \frac{22x}{22} > \frac{44}{22} \\ x > 2[/tex]


Related Questions

Maria makes a fruit salad. The table shows the amounts of different kinds of fruit that she uses. Kind of Fruit Amount Grapes 3 2/3 cups Melon 2 1/4 cups Pineapple 23/4 cups Strawberries? The amount of strawberries that Maria uses is 3/8 times the amount of the other fruits combined. How many cups of strawberries does Maria use?

Answers

Proportionately, the number of cups of strawberries that Maria needs to use is 3¹/₈ cups.

What is proportion?

Proportion refers to a part of a whole.

Proportion is a ratio of one value to another.

Proportions are depicted as decimals, fractions, or percentages.

In this situation, we know that the amount of strawberries is a fractional value of the combined fruits.

Thus, we can multiply the fraction of strawberries against the combined value of the other fruits to determine the number of cups of strawberries needed.

Kind of Fruit       Amount

Grapes               3²/₃ cups

Melon                 2¹/₄ cups

Pineapple          2³/₄ cups

Total of other fruits = 8²/₃ cups

Strawberries             ?

Strawberries = 3¹/₈ (8²/₃ x ³/₈)

Thus, Maria needs 3¹/₈ cups of strawberries.

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PART B
Tim's upcoming move will span 250 miles. Which company should he hire? Explain how you found your
answer.

Answers

For upcoming trip. Tim should hire company A

What is linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

Given,

Distance to cover = 250 miles

For company A

By the graph line passes through

(200, 200) , (0,150)

equation of the line,

y-150 = [(200-150)/(200-0)](x-0)

y-150 = [50/200] x

y = x/4 + 150

y = 0.25 x + 150

No. of miles = 250

y = 0.25×250 + 150

y = 62.5 + 150

y = $212.5

Price for company B

y' = 0.75x + 50

where x is number of miles

for 250 miles price of company B

y' = 0.75 × 250 + 50

y' = 187.5 + 50

y' = $237.5

∵ y < y'

∴Price of trip with company A is less than company B

Hence, Tim should hire Company A for upcoming trip.

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How do the interior and exterior angles of a polygon relate? *
They are congruent
O They are supplementary
O They are complementary
There is no relationsh

Answers

They are congruent, they all equal 180 degrees I believe.

The function f(x) = 4x + 9 represents the number of animals adopted at one shelter, where x is the number of months.

The function g(x) = x + 2 represents the number of animals adopted at another shelter, where x is the number of months.

Part A: What is (f + g)(x)? Show all necessary steps. (2 points)

Part B: Evaluate (f + g)(5). Show your work. (2 points)

Part C: Explain what your answer represents in terms of the scenario. (2 points)

Answers

a. The function, (f + g)(x), is evaluated as: (f + g)(x) = 5x + 11

b. The function (f + g)(5) = 36

c. (f + g)(5) = 36 means in 5 months, the total number of animals adopted at the two shelters is 36.

How to Evaluate Functions?

We can evaluate functions just as we solve normal algebraic equations when we plug in the given value of a variable.

Given the following:

f(x) = 4x + 9 [number of animals at one shelter]

g(x) = x + 2 [number of animals at another shelter

Part A: Find (f + g)(x)

(f + g)(x) = f(x) + g(x) = 4x + 9 + x + 2

Combine like terms:

(f + g)(x) = 5x + 11

Part B: Find (f + g)(5)

Substitute the x = 5 into the function (f + g)(x)

(f + g)(5) = 5(5) + 11

(f + g)(5) = 25 + 11

(f + g)(5) = 36

Part C: It means in 5 months, the total number of animals adopted at the two shelters is 36.

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help me please i will give brainest

Answers

Answer:

b=2a+

Step-by-step explanation:

a=1/2(b-c)

a=1/2b-1/2c

a + 1/2c=1/2b

2/1(a+1/2c)=(1/2b)2/

2a+c=

b=2a+

For the function below, write the differential. f(x) = ln(1 + x2) dy = Calculate dy for the given values of x and dx. x = 2 and dx = 0.2 dy = How accurate is dy in approximating ?y (i.e., what is their difference) to the nearest thousandth?

Answers

The dy for the given values of x and dx. x = 2 and dx = 0.2 dy is 0.16

The given function f(x) = ln(1 + x2) dy

In differentiation, we have a formula where f(x) is calculated:

d/dx ln=1/u.du/dx

Apply this formula for the given function:

f(x) = ln(1 + x2) dy

f'(x)= 1/x²+1*2x dx

f'(x)=2x/x²+1 dx

To calculate the dy for the given values of x and dx. x = 2 and dx = 0.2 dy

substitute these values into f'(x) we get:

f'(x)=2x/x²+1 dx

f'(x)=2(2)/2²+1 (0.2)

f'(x)=4/5(0.2)

f'(x)=0.16

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17. Which expression is a factor of 6x² + 7x-5?
A 3x + 5
B 2x + 1
C 6x +1
D x + 5

Answers

Answer:

A

Step-by-step explanation:

6x² + 7x - 5

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × - 5 = - 30 and sum = + 7

the factors are - 3 and + 10

use these factors to split the x- term

6x² - 3x + 10x - 5 ( factor the first/second and third/fourth terms )

= 3x(2x - 1) + 5(2x - 1) ← factor out (2x - 1) from each term

= (2x - 1)(3x + 5) ← in factored form

with 3x + 5 being a factor

HELPPPP
Which of the following graphs represents a function?
A Th graph showing a circle intercepting the x-axis at 5 and -5 and the y-axis also at 5 and -5.
B The graph shows a parabola open to the top and touching the base at (0, 0).
C The graph shows a s- shaped curved line starting from (10, 2) and taking the curve at points (0, 1), (-1, 0), (0, -1), and (0, -3) and ending at (-10, -4).
D The graph shows a parabola open to the left and touching the base at (0, 0).

Answers

The graph that represents a function is:

The graph shows a parabola open to the top and touching the base at

(0, 0).

The graph shows a parabola open to the left and touching the base at

(0, 0).

Options B and D is the correct answer.

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

A function can have many-to-one but not one-to-many.

A

The graph shows a circle intercepting the x-axis at 5 and -5 and the y-axis also at 5 and -5.

This means,

If the center of the circle is (h, k).

The coordinates of the circle are:

(5, k), (-5, k), (h, 5), and (h, -5)

(h, 5) and (h, -5) indicate one-to-many.

This is not a function.

B.

The graph shows a parabola open to the top and touching the base at

(0, 0).

The equation of the parabola is y = x².

For x = 1, y = 1

For x= -1, y = 1

This indicates many-to-one only.

This is a function.

C.

The graph shows an s-shaped curved line starting from (10, 2) and taking the curve at points (0, 1), (-1, 0), (0, -1), and (0, -3) and ending at (-10, -4).

The points (0, 1), (0, -1), and (0, -3) indicate one-to-many.

This is not a function.

D

The graph shows a parabola open to the left and touching the base at

(0, 0).

The equation of the parabola is y² = 4px.

This equation is a function.

Thus,

The graph that represents a function is a parabola open to the top and a parabola open to the left.

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Given the function f'(x)=x^{5}-5x^{3}, determine all intervals on which f is decreasing.

Answers

The function f'(x) is decreasing on the interval (-√5, 0) and (0, √5)

What is a function?

A function is a mathematical equation that shows the relationship between two variables.

How to find the interval on which the function is increasing?

Givenj the function f'(x) = x⁵ - 5x³, to find the points at which the function is increasing, we find its critical points by equating it to zero.

So, f'(x) = x⁵ - 5x³

x⁵ - 5x³ = 0

x³(x² - 5) = 0

⇒ x³ = 0 and x² - 5 = 0

⇒ x = 0 and x² = 5

⇒ x = 0 and x = ±√5

To determine the points at which f'(x) is decreasing, we differentiate f'(x) with respect to x and substitute the values of x into it.

So, we have

f'(x) = x⁵ - 5x³

df'(x)/dx = d(x⁵ - 5x³)/dx

f"(x) = 5x⁴ - 15x²

So, f'(x) is decreasing when f"(x) > 0.

So, substituting x = 0 into the equation, we have that

f"(x) = 5x⁴ - 15x²

f"(x) = 0⁴ - 15(0)²

= 0 - 0

= 0

Since f"(x) = 0. This is a point of inflection

Substituting x = √5 into the equation, we have that

f"(x) = 5x⁴ - 15x²

f"(x) = 5(√5)⁴ - 15(√5)²

= 5 (25) - 15 (5)

= 125 - 75

= 50

Since f"(x) = 50 > 0, f'(x) is decreasing

Substituting x = -√5 into the equation, we have that

f"(x) = 5x⁴ - 15x²

f"(x) = 5(-√5)⁴ - 15(-√5)²

= 5 (25) - 15 (5)

= 125 - 75

= 50

Since f"(x) = 50 > 0, f'(x) is decreasing

So, f'(x) is decreasing on the interval (-√5, 0) and (0, √5)

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What hour should each influencer post to get exactly 64,500 likes?

Rihanna: L(t) = -1² +13t-20

Drake: L (t) = -2t² + 17.5t - 10

YoungBoy: L (t)=-² +30t-150

Answer should be in hours

Rihanna

Drake

Young Boy

A :: Hour 13 (1:00pm)

B :: Likes won't reach exactly 64,500

C :: Hour 18.24 (6:14pm)

Match with them

Answers

Answer:young boy

Step-by-step explanation:

Find the sum of 458 and 342. Use place value and find the sums of the hundreds, tens, and ones.

Answers

Estimated total is equal to (500 + 300) = 800.

What are place value ?

In mathematics, place value refers to the relative importance of each digit in a number.

These locations begin at the unit's location (ones place).

The value of each digit in a number is known as place value. Every digit in a number has a distinct value depending on where it is located.

The value of a digit depends on its position in the number, which might result in a number having two comparable digits with distinct values.

Using place value diagrams, we can check that the digits are positioned correctly.

The right place for each digit in a number is shown on a place value chart. In order to precisely determine the positional values or worth of the various digits in a number, we must first write the.

According to our question -

to the next hundreds of 458 = 500, the estimated value

to the nearest hundreds of 324, the estimated value is 300.

Estimated total is equal to (500 + 300) = 800.

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The camp director is putting 85 sack lunches

Answers

The meaning of the situation involving the camp director and the sack lunches, is D. The number of lunches left over after packing the boxes.

What does the remainder show ?

The remainder in this instance, shows the number of lunches that the camp director will not be able to fit in boxes and so will be left over after the boxes have been packed.

There are 85 sack lunches and yet only 3 lunches can go into a single box. The number of boxes would be:

= 85 / 10

= 10 boxes remainder 5 lunches

10 boxes will be filled with lunch sacks and 5 lunches will be leftover.

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The full question is:

The camp director is putting 85 sack lunches in boxes for a picnic. She can fit 8 lunches in each box. She does the division problem shown to find out how many boxes she will need. 85 divided 8 = 10 remainder 5

What is the meaning of the remainder in this situation?

A. The number of extra boxes needed.

B. The number of extra lunches needed.

C. The number of boxes left over after packing the lunches.

D. The number of lunches left over after packing the boxes.

What is the sum of the exterior angles for each of the parallelogram and the hexagon?

A) 90°
B) The answer depends on the number of sides of the polygon
C) 180°
D) 360°

Very confused, if you could please explain it to me, that would be great!!

Answers

The sum of the exterior angles for a parallelogram is 360°.

What is exterior angle?

Exterior angles are angles that are formed outside two lines when they intersect. They are located outside the two lines, on the outside of the shape. They can be found by adding the two interior angles together, whose measurements are always equal to 180 degrees. Exterior angles are also supplementary angles, meaning that the sum of their measurements is always equal to 360 degrees.

This is because the four angles on the outside of the parallelogram are all right angles, and the sum of four right angles is 360°.

Similarly, the sum of the exterior angles for a hexagon is also 360°.

This is because the six angles on the outside of the hexagon are all 120° angles, and the sum of six 120° angles is 360°.

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1) Rick had to borrow $35,000 to buy a brand new
car. He has to pay 10% interest for 5 years. How
much interest will he have to pay?
80

Answers

On solving the provided question we can say that the total interest he pay in 5 year is = $17500.

How much is interest?

The amount that the lender charges the borrower over and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money. The basic interest formula is as follows: Interest is equal to P, R, and T. P is the principal sum (the beginning balance). Interest rate, R (usually per year, expressed as a decimal). T = Number of intervals of time (generally one-year time periods).

Money required to borrow new car is $35,000.

and Rick pay 10% interest per year

so, interest he pay in one year = $35000 x 10% = $3500

total interest he pay in 5 year is = $17500

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Use the division or the multiplication property of equality to 927/y = 309 solve . What is the result?

Answers

The answer is 3. Because you cross multiply

The heights of American men aged 18 to 24 are approximately Normally distributed with a mean of 68 inches and a standard deviation of 2.5 inches. About what percentage of the men are over 70.5 inches tall?


a ----2.5
b-----68
c-----16
d----5
e-----32

Answers

Answer:

Step-by-step explanation:

To find the percentage of men who are over 70.5 inches tall, we need to use the standard normal distribution table, which gives the proportion of observations that fall within a given range of standard deviation from the mean.

We first need to standardize the height of 70.5 inches by subtracting the mean (68 inches) and dividing by the standard deviation (2.5 inches) to get (70.5 - 68) / 2.5 = 0.8

This tells us that 70.5 inches is 0.8 standard deviations above the mean.

We can then look up the proportion of observations that fall within this range in the standard normal distribution table, which is approximately 0.1587 or 15.87%. So, the answer is (1-0.1587) = 84.13 or 84.13%.

So the answer is 84.13%

(Factoring Algebraic Expressions LC)

Rewrite 8a + 32ab using a common factor.
A: 8ab(1 + 32ab)
B: 8ab(0 + 4)
C: 8a(1 + 4b)
D: 8a(0 + 4b)

Answers

Answer:

The answer is option c.

Please could you give me brainliest

The correct option if c.

Please answer this question quickly for me

Answers

Answer:

Step-by-step explanation:

The inverse of the statement "If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent" is "If two triangles are not congruent, then the two sides and the included angle of a triangle are not congruent to two sides and the included angle of another triangle."

how many groups of 5/3 are in 1

Answers

I agree with the answer above, unless we are missing something

The number of groups of 5/3 are in 1 would be equal to 3/5

What is a fraction?

A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.

Division of fraction

Given that groups of 5/3 are in 1

= 1 ÷ 5/3

Then Multiply by the reciprocal of 5/3

The reciprocal of 5/3 is 3/5

1 ÷ 5/3

= 1 × 3/5

= 3/5

Therefore, the number of groups of 5/3 are in 1 is; 3/5

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What is t equal to 30+6t=11t

Answers

If 30+6t=11t then the value of  t is: 6

How to solve the given equation?

This is a simple algebraic equation. To solve for t, we can start by isolating t on one side of the equation.

The equation is 30 + 6t = 11t

First we can subtract 11t from both sides:

30 + 6t - 11t = 11t - 11t

This gives:

30 - 5t = 0

Next, we can add 5t to both sides:

30 - 5t + 5t = 0 + 5t

This gives:

30 = 5t

Finally, we can divide both sides by 5:

30 / 5 = 5t / 5

This gives:

t = 6

So, t is equal to 6.

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For the following function f(x)=x-3/5 Find f^-1(x)

Answers

Answer:

the having of the record is that

help …………… me please

Answers

The value of x is 10 the answer being ten is because the smaller triangle is half the size of the bigger one.

What is a formula for a triangle?

To find a triangle's area, use the formula area = 1/2 * base * height. Choose a side to use for the base, and find the height of the triangle from that base. Then, plug in the measurements you have for the base and height into the formulaThe basic formula to find the area of a triangle is, area of triangle = 1/2 (b × h); where 'b' is the base and 'h' is the height of the triangle. However, there are other formulas that are used to find the area of a triangle which depend upon the type of triangle and the known dimensions.The area of a triangle is the space enclosed within the three sides of a triangle. It is calculated with the help of various formulas depending on the type of triangle and is expressed in square units like, cm2, inches2, and so on.

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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

Answers

Answer: There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). ✅

PLEASEEEE GIVE BRANLIEST

Step-by-step explanation:

There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9). One statement that could be true for g is:

g(x) = 2x + 8

This function has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45. It also satisfies the values of g(0) = -2 and g(-9) = 6.

It's important to note that this is only one possible function that satisfies the given information and there are many other functions that could also work such as:

g(x) = 3x -2

g(x) = -2x +10

g(x) = x+5

So the statement that could be true for g is that "There are multiple ways that a function, g, could satisfy the given domain, range, and values of g(0) and g(-9)."

*Keep in mind you didn't specify a specifc statement to verify false or true*

Sketch the graph of the function f(x, y) x2

Answers

The graph of the function f(x, y) = [tex]x^2[/tex] is a three-dimensional parabolic surface that opens upwards.

It is symmetric around the x-axis. This means that the shape of the surface is the same on both the positive and negative x-values. It is also a concave-up function, which means the graph is curved upwards.

Its vertex is located at the origin (0,0) and the equation of the parabola is y =[tex]x^2[/tex]. This means that the x-values of the graph can be any real number, while the y-values will always be non-negative as the square of any real number is always non-negative.

As x-values increase or decrease, the y-values will also increase, resulting in a smooth and continuous surface. Overall, the graph represents the upward parabolic shape of x squared.

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PLEASE ANSWER FAST FOR TEST
Represent the following scenario as a rate and a unit rate.
Write your Unsimplfied Rates as unsimplified fractions.
Write your Simplified Unit Rates as whole numbers or decimals rounded to two decimal places.
Form
Representing Rates and Unit Rates in Multiple Ways
Unsimplified Rate
Simplfied Unit Rate
"per language"
Dawn spent $32.2 on 14 gallons of gas.
Rate of Dollars to Gallons
dollars
gallons
dollars per gallon
Rate of Gallons to Dollars
gallons
dollars
gallons per dollar

Answers

The amount per gallon that Dawn will spend is $2.3 per gallon.

How to calculate the value in the word problem?

It should be noted that a word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In the information given, it was stated that Dawn spent $32.2 in 14 gallons of gas. The amount per gallon will be:

= Total amount / Number of gallons

= $32.2 / 14

= $2.3

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(URGENT) lWhich pair of functions are inverses of each other?

Answers

If the two graphs are mirror images of one another across the line y = x, then they are inverse functions.[tex]$f(x)=\frac{x}{3}+10$ \\[/tex] and [tex]$g(x)=3 x-10$[/tex]

How do you find a pair of inverse functions?

As for looking at the graphs, we already knew that. You should keep in mind that inverse functions are represented by two graphs that are mirror images of one another over the line y = x. The broadest definition of an inverse function is one that "reverses" another function.

The inverse, for instance, must take b to an if a function goes from a to b. When the first and second elements of each pair in the original function are switched, a set of ordered pairs is obtained that is known as the inverse of the function. The act of switching the x and y coordinates is known as obtaining an inverse. They aren't opposites. The output of the first function is sent through an inverse function, which then generates an output whose input was the first function.

So, option A) [tex]$f(x)=\frac{x}{3}+10$ \\[/tex] and [tex]$g(x)=3 x-10$[/tex] is the appropriate response.

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SALE
50% OFF!
During the sale, Wanda pays $3 for a spinach salad. What was the original price?
Submit

Answers

Answer:

$6

Step-by-step explanation:

50% x 2 = 100%

3 x 2 = $6

One-fifth per cent of the blades produced by a blade manufacturing factory turn out to be defective. The blades are supplied in packets of 10.Use Poisson distribution to calculate the approximate number of packets containing no defective in a consignment of1,00,000 packets.

Answers

Probability of defect per blade = 1/500 = 0.002

Poisson distribution :

Pₓ (k) = (x ^k)/k × e⁻ˣ

Where k = The number of defective blades in a packet.

For a packet of 10 blades the mean number of defect x = 0.002 × 10 = 0.02

1.) When k = 0

Pₓ(0) = (0.02⁰ / 0!) × e - 0.02 = 0.980199

The approximate number of packets containing blades with no defective is :

10000 × 0.980199 = 9802

2.) When k = 1

Pₓ(1) = (0.02 / 1!) × e-0.02 = 0.019604

Approximate number containing one defective is :

10000 × 0.019604 = 196

3.) When k = 2

Pₓ(2) = (0.02² / 2!) × e - 0.02 = 0.000196

Approximate number containing 2 defective :

0.000196 × 10000 = 1.9 = 2

4.) When k = 3

Pₓ(3) = (0.02³ / 3!) × e-0.02 = 0.000013

Approximate number containing 3 defective is :

0.000013 × 10000 = 0.13 = 0

Answer:

no defective blades in a consignment of 1,00,000 packets is 99837.

Step-by-step explanation:

we first need to find the mean number of packets containing no defective blades. This mean is equal to the total number of packets (1,00,000) multiplied by the probability of a packet containing no defective blades.

The probability of a blade being defective is given as 0.002 (or 2/1000) or 2/100 or 1/50 or 2%.

Since a packet contains 10 blades. So the probability of a packet containing no defective blades is (1 - 0.002)^10 = 0.999936 or (1-0.02)^10 = 0.99837

So the mean number of packets containing no defective blades is (1,00,000 * 0.99837) = 99837

Could someone please help me with this?

Answers

Answer:

b = 10

Step-by-step explanation:

[tex]y=(x-h)^2+k\\y=(x-(-5))^2+9\\y=(x+5)^2+9\\y=x^2+10x+25+9\\y=x^2+10x+34[/tex]

Please Help!!

Simplify -|-7+4|

Answers

Answer: 7-4

Step-by-step explanation:

So basically multiply (-1) to -7 and 4

-7(-1)=7 4(-1)=-4

then, 7-4

Other Questions
relaxin is a hormone produced by the placenta and ovaries. the function of this hormone is to ________. 2. Which of the following types of analysis would a Fundamental Analyst use?A. Historical trading volumesB. Historical stock price movementsC. Trends in trading patternsD. The crowds psychology and emotions in a small organization (cafe, service station, or real estate office), supervision of employees and management control are most commonly done through if you crinkle your nose in response to a bad smell, what cranial nerve(s) is(are) you using TRUE / FALSE. in a high consensus culture, employees disagree about the way things are supposed to happen. Report the individual concentration in [M] of Tartrazine and Sunset Yellow in the sample.Certificate of Analysis Purities:Tartrazine (M.W. 534.36): 89.0% (Calculated from Carbon, Nitrogen Analysis)Sunset Yellow (M.W. 452.37): 96.2% (By HPLC)Weight of Standards:Tartrazine: 0.1006 GmSunset Yellow: 0.1000 GmAbsorbances: 427 nm 4 81 nmTartrazine: 0.936 0.274Sunset Yellow: 0.414 0.956Sample: 0.539 0.409Data AnalysisDetermine the weight of Tartrazine or Sunset Yellow in the standards by multiplying the weight of standard recorded by the fraction of compound indicated from the Certificate of Analysis (the percent divided by 100).Determine the moles of Tartrazine or Sunset Yellow in the standards by dividing the weights determined in step (1) by the molecular weights of the compounds (Tartrazine has a molecular weight of 534.36 g/mol, Sunset yellow has a molecular weight of 452.37 g/mol)Determine the molarity of the compounds by dividing the moles of compound weighed by the volume in liters the compounds were diluted to (0.100 L in this case).Multiply the molarity above by any dilutions that were applied, which this case is 2/100.These are the concentration of the standard solutions in M (mol/L).Calibration: Calculate the molar absorptivity at each wavelength for each analyte by dividing the absorbance value at each wavelength for a given analyte by the concentration of that analyte. This will result in four molar absorptivity coefficients.1(427)=(427)/1 stand2(427)=(427)/2 stand1(481)=(481)/1 stand2(481)=(481)/2 standReference Solution Evaluation: Using the calibrated values from above, and using the reference solution absorbance values at the two max wavelengths, solve the two equations for the molar concentrations of the Tartrazine (C1) and Sunset Yellow (C2) below.(1) Total(ref) (427)= 1(427)1 ref + 2(427)2 ref(2) Total(ref) (481)= 1(481)1 ref + 2(481)2 refIf the reference concentrations are within 5% of their actual values then the linearity of the calibration and the non-interference and independence of the spectra has been sufficiently verified.Unknown Solution Determination: As described in the Introduction section, solve the following simultaneous equations for the concentrations of FD&C 5 and FD&C 6 in your unknown sample:Total(sample)(427)= 1(427)1 sample + 2(427)2 sampleTotal(sample)(481)= 1(481)1 sample+ 2(481)2 sampleSubstitution of the absorbances for the samples mixture (Total (427) and Total (481)) into the above equations along with the four values from the calibration step, provided two simultaneous equations with two unknowns, 1 sample and 2 sample for FD&C 5 and FD&C 6. Apply simple algebra to determine the mathematically resolved values of 1 sample and 2 sample for the compounds FD&C 5 and FD&C 6. Darwing and before him not know about genetics. The theory of how traits showed up in offspring of the 1700s ans 1800s was one of?Blended inheritancePrimary inheritanceMale only inheritanceNo inheritance A certain population follows a normal distribution with mean and standard deviation =1.2. You construct a 95% confidence interval for and find it to be 1.10.8. Which of the following is true?A. We would reject H0: =1.1 against Ha: 1.1 at =0.05.B. We would reject H0: =2.4 against Ha: 1.4 at =0.01.C.We would reject H0: =2.4 against Ha: 2.4 at =0.05.D.We would reject H0: =1.2 against Ha: 1.2 at =0.05. To which family does the function y=(x 2)1/2 3 belong? a: quadratic b: square root c: exponential d :reciprocal a nurse is providing care for a child with disseminated intravascular coagulation (dic). what would alert the nurse to possible neurologic compromise? The Swanson Corporation's common stock has a beta of 1.07. If the risk-free rate is 3.4 percent and the expected return on the market is 11 percent, what is the company's cost of equity capital? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Cost of equity capital____% Fiona races bmx around a circular course. if the course is 70 meters, what is the total distance fiona covers in 2 laps? as frida is using a company database application, her computer transfers information securely by encapsulating traffic in ip packets and sending them over the internet. frida _____. Given the function g(x)=-x^2-6x 11g(x)=x 2 6x 11, determine the average rate of change of the function over the interval 5 x 0. Golden Eagle Enterprises has the following deferred tax assets and liabilities: Deferred tax assets--noncurrent 25,000 Deferred tax liabilities-noncurrent 8,000 What amounts should be disclosed for deferred taxes on the balance sheet at year-end? O deferred tax asset $17,000 O deferred tax asset $33,000 O deferred tax asset $25,000 and liability $8,000 O deferred tax liability $33,000 calculate the ph of the solution that results from mixing 60.0 ml of 0.060 mhcn(aq) with 40.0 ml of 0.034 m nacn(aq). the a value for hcn is 4.91010 . Astronomers often measure large distances using astronomical units (AU)where 1 AU is the average distance fromEarth to the Sun. In the image, d represents the distance from a start to the Sun. Using a technique called "stellar parallax," astronomers determined O is 0.00001389 degrees.b) Write an equation to calculate d for any star.(Your response must include an equal sign, and the variables d and O.) the [delta]g of formation of a substance is 0 for elements in their standard states the [delta]g of formation of a substance is 0 for elements in their standard states true false cooperating taking notes and discussing violations are all steps of what Nitrogenous wastes are a product of what? O fat metabolism O carbohydrate metabolism O protein metabolism O insulin difficiencies