sandra colored 1/3 of her picture black, as shown. what percent of her picture did she color white

Both the numbers are not zero of the given polynomial.

The given function is,

f(x)=3x³+11x²-14x+30

And its zeroes are -5,4

To use synthetic division, we'll set up the coefficients of the polynomial function in a table, with the number we're testing as a zero at the side. It should look like this:

-5          3          11          -14          30

We start by bringing down the first coefficient, which is 3. Then, we multiply that coefficient by the zero we're testing, which is -5, and put the result in the next column:

-5          3          11          -14          30

                 -15

Next, we add the two numbers in the second column, which gives us -15 + 11 = -4. We write that number in the next column:

-5          3          11          -14          30

                 -15         -4

We multiply -4 by -5, which gives us 20. We add that to the next column, which gives us 6:

-5          3          11          -14          30

                 -15       -4             6

Finally, we multiply 6 by -5, which gives us -30. We add that to the last column, which gives us 0:

-5          3          11           -14          30

                -15             -4             6

     3          -4               0           36

Our resulting table shows us the coefficients of the quotient polynomial, which is 3x² - 4x + 6. Since the last number in the table is not zero, -5 is not a zero of the polynomial function f(x).

We can repeat the process with 4:

4         3         11         -14         30

4         3         11         -14         30

              12  

4         3         11         -14         30

               12         68

4         3         11         -14         30

    3         23         54         228

Again, the last number in the table is not zero, so 4 is not a zero of the polynomial function f(x).

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The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Applying the sine rule the value of side x is calculated to be 7.4

The size of x is calculated using the sine rule which sates that the ratio of a side and the opposite angles are equal to  each other

This represented by the formula

Sine A / a = Sine B / b = Sine C / c

applying the formula for the problem

Sine A / a = Sine B / b

Sine 29 / 5 = Sine 46 / x

cross multiplying

x = 5 * Sine 46 / Sine 29

x = 7.4188

x = 7.4 to the nearest tenth

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Answer:

7.4

Step-by-step explanation:

yes

Answer:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Step-by-step explanation:

We can find the function f(x) by integrating f'(x) with respect to x:

â«f'(x) dx = â«(2/(x^3) + 4e^x + 5) dx

f(x) = -1/x^2 + 4e^x + 5x + C

To find the constant C, we can use the given initial conditions:

f(-1) = 1 = -1/(-1)^2 + 4e^(-1) - 5 + C

C = 1 + 1/1 - 4e^(-1)

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

Therefore, the function f(x) is:

f(x) = -1/x^2 + 4e^x + 5x + 1 + 1/x - 4e^(-1)

The inequality that represents the number of notebooks that she can buy is:

0 ≤ n ≤ 35

Here we know that Eryl has a total of $56, and she wants to buy notebooks, where each notebook costs $1.60.

To find the maximum number of notebooks that can be bought with that money, we need to take the quotient between the total money that Eryl has and the cost of each notebook, we will get:

$56/$1.60 =35

Then the maximum value that n can take is 35, thus, we can write the inequality as:

0 ≤ n ≤ 35

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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A: Two proportions from independent samples would be used to answer this question.

After comparing the percentage of runners that typically wear sunscreen on a run to the percentage of bikers that typically wear sunscreen on a bike ride. The survey is comparing the percentage of runners who wear sunscreen to the percentage of bikers who wear sunscreen, which is a comparison of two proportions. The samples of runners and bikers are independent since they are two separate groups being compared, and the design is not matched or paired in any way. Therefore, option A is the correct choice.

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Answer:

find AC and BC then check multiply their slopes

(2, 2), (3, 1), (4, 2) are ordered pairs are in the solution set of the system of linear inequalities.

What are linear inequalities, exactly?

A mathematical expression that compares two expressions using the inequality symbol is known as a linear inequality. The expression may be either a numerical or an algebraic expression, or it may be both.

                               x - 5 > 3x - 10 is an illustration of a linear inequality. Since greater than is utilized in this inequality, the LHS is indubitably greater than the RHS. The inequality is represented by the formula 2x 5 x (5/2).

y >-1/3x+2

y < 2x + 3

The answer is "None" of the given choices satisfy the linear inequality. Each choice has a point (2,2) which dissatisfy the equation.

(2, 2), (3, 1), (4, 2)

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Is the relation a function: C. No, because for each input there is not exactly one output.

In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).

This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.

Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.

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Part A: annual gross salary =  $51,200. Part B:  income tax= $46,080

Part C: annual income, after tax reduction =  $46,080.

Part D: fortnightly net income  $126.24 per day.

Before taxes, benefits, and other wage garnishments are taken out of an employee's paycheck, that amount is known as their gross pay. Net pay, often known as take-home pay, is the amount that is left after all withholdings have been taken into account.

Given data:

Earning from shop clerk - $50,000 per year.

Earning from gardening - $1,200 per year.

Part A: annual gross salary.

annual gross salary =  $50,000 +  $1,200

annual gross salary =  $51,200

Part B:  income tax.

income tax = 10% of gross income

income tax = 0.10 * 51,200

income tax = $5,120

Part C: annual income, after tax reduction:

Net income = Gross income - tax

Net income = 51,200 - 5,120

Net income = $46,080

Part D: fortnightly net income:

fortnightly net income = Total net income / 365 days

fortnightly net income = $46,080 / 365

fortnightly net income = $126.24 per day.

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Complete question:

Carlos earns $50 000 each year as a shop clerk and an extra $1200 each year for gardening on the weekend. Tax applied is 10% on gross income.

A, calculate his annual gross salary

B, use his gross salary to find his income tax

C, what is his annual income, after tax

D what is his fortnightly net income, to the nearest cent after tax?

The ways the vegetables be chosen are: no. of ways = 7 x 6 x 5    = 210

total number of vegetables = 7

He has ordered 3 different vegetables

        7, 6, 5 = no. of choice

no. of ways = 7 x 6 x 5

                   = 210

Probability is the probability of an occasion happening.

To find the probability of an occasion happening we utilize the equation

Probability = number of wanted outcomes / total number of outcomes

Probability= total number of outcomes / number of wanted outcomes.

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True, The objective function in linear programming is formulated to either maximize or minimize a specific value or quantity.

The goal of linear programming is to optimize this objective function by finding the optimal values for the decision variables within the given constraints. Whether it is maximizing profit, minimizing cost, maximizing production, or minimizing waste, the objective function is designed to achieve the desired optimization outcome.

The objective function in linear programming serves as the goal or target to be achieved. It can involve maximizing profits, minimizing costs, maximizing efficiency, minimizing waste, or any other measurable quantity. The objective function guides the optimization process by defining the objective to be pursued in the linear programming problem.

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Answer:

Solve by Substitution 3x+2y=7 , y=-3x+11. 3x+2y=7 3 x + 2 y = 7 ... y=−4 y = - 4. x=5 x = 5. The solution to the system of equations can be represented as a point.

Step-by-step explanation:

Answer:

a. 452.4 cm³ to the nearest tenth b. 113.1 cm³ to the nearest tenth

c. 5.0 cm to the nearest tenth

Step-by-step explanation:

a. The volume of the water V₁ = πr²h since it is in a cylindrical container. r = 6 cm and h = 10 cm - 6 cm = 4 cm (since it is filled to a depth of 6 cm measuring from the top, so we have a height from the bottom of 10 cm - 6 cm = 4 cm).

So, V₁ = πr²h

= π × (6 cm)² × 4 cm

= 452.39 cm³

= 452.4 cm³ to the nearest tenth

b. The volume of the sphere V₂ = 4πr³/3 where r = radius of sphere = 3 cm.

V₂ = 4πr³/3

= 4π(3 cm)³/3

= 113.1 cm³ to the nearest tenth

c. When the sphere is placed in the container, the new volume of water in the container would be V = V₁ + V₂

So V = 452.4 cm³ + 113.1 cm³ = 565.5 cm³

Since the volume of water is still the volume of a cylinder, its height h is

h = V/πr²

= 565.5 cm³/π(6 cm)²

= 5.0 cm to the nearest tenth

Answer:

E=Mc squared

Step-by-step explanation:

Answer:

It is Option #1

Answer:

4 (x - 5)

4x - 20

Hope that helps!

-Sabrina

Step-by-step explanation:

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

Answer:

30. 540

31. 720

32.360

33. 540

34. 180

35.900

Step-by-step explanation:

Sum of the angles = number of sides in the polygon -  two, all multiplied by 180 degrees.

*if you want to  find the measure of one interior angle, take that same formula and divide by the number of sides n: (n - 2) * 180 / n.

30 .

sum of the angles = (5-2)180

sum of the angles =540

31.

sum of the angles = (6-2)180

sum of the angles =720

32.

sum of the angles = (4-2)180

sum of the angles =360

33.

sum of the angles = (5-2)180

sum of the angles= 540

34. sum of the angles = (3-2)180

sum of the angles = 180

35.

sum of the angles = (7-2)180

sum of the angles = 900

Answer:

14.006

Step-by-step explanation:

π + 3.14 × π + 3.14 ÷ 3.14

14.00619358

Rounded -

14.006

Let's see

\(\\ \rm\rightarrowtail \dfrac{\pi\pi(3.14)(3.14)}{3.14}\)

\(\\ \rm\rightarrowtail \pi\pi(3.14)\)

\(\\ \rm\rightarrowtail \pi^2(\pi)\)

\(\\ \rm\rightarrowtail \pi^3\)

For a process of removal and arrival of letters on reception tray, the removal time of 13th arrival number letter from tray is equals to the 1:25. So, option(d) is right one.

There is a process of which follows some steps and repeated after 5 minutes. There is a at reception desk which has to stack letters as they arrive. There are some steps.

Starting time of process = 12:00

Step 1 : The number of letters arrived at reception = 3

These three letters are stacked on the top of others. Now, first in three letters placed at top first, second at second and third at third place.

Step 2 : Here, top two are immediately removed from three then again three came, placed and two removed until 36 letters have arrived. Conclusion of first complete cycle of 36 letters,

total time spend = 5 minutes

number of letters removed = 24

Letters remained in tray = 12

But we want 36 letters on tray, so again the same process repeated two times.

So, total time spend for arrival of 36 letters on tray = 5 + 5 + 5 = 15 minutes

Also, according to thir arrival number, the letters which present in tray are 1ˢᵗ, 4ᵗʰ, 7ᵗʰ, 10ᵗʰ, 13ᵗʰ, 16ᵗʰ, 19ᵗʰ, 22ᵗʰ, 25ᵗʰ, 28ᵗʰ, 31ᵗʰ, 34ᵗʰ, ....., 106ᵗʰ.

In last step, a pair of letters removed in every five minutes. Number of pairs present here = 18

The 13ᵗʰ card present in which pair if removal of pair start from top = 16ᵗʰ pair ( 13ᵗʰ and 16ᵗʰ )

Total time spend to remove first 15 pairs = 15 × 5 = 75 minutes

so, the time at which 13th letter is removed

= 15 + 75 = 90 minutes or 1:30 but subtract 5 minutes of arrival so, 1:25.

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Complete question:

The CMC reception desk has a tray in which to stack letters as they arrive. Starting 12:00, the following process repeats every five minutes:• Step 1 – Three letters arrive at the reception desk and are stacked on top of the letters already in the stack. The first of the three is placed on the stack first,the second letter next, and the third letter on top.• Step 2 – The top two letters in the stack are removed.This process repeats until 36 letters have arrived (and the top two letters have been immediately removed). Once all 36 letters have arrived (and the top two letters have been immediately removed), no more letters arrive and the top two letters in the stack continue to be removed every five minutes until all 36 letters have been removed. At What time was the 13th letter to arrive removed?(A) 1:15 (B) 1:20 (C) 1:10 (D) 1:05 (E) 1:25

Answer:

The answer is -3 2/7

Step-by-step explanation:

5- 1x1 - -4x4 + 3/2-1-4-4

5 - 1 +16+3/2-1-4-4

4+16+3/-7

23/-7

or - 3 2/7

Answer:

172.5

Step-by-step explanation:

The formula for the surface area of a right circular cone (the following shape) is πr( r + √h^2 + r^2). Since the radius (r) is already given (3) and the height (h) is already given (15), you just replace each r with 3 and h with 15. After solving this out, you should get 172.45, which rounds to 172.5 to the first decimal place

(a)The population of interest is the entire university community at Botho University. (b)The sample is the random sample of 200 members. (c)The average time spent in the library, which is 30 minutes, is a statistic because it is computed from the sample and represents a characteristic of the sample, not the entire population.

a) The population of interest in this case would be the entire university community at Botho University. It includes all members of the university community who could potentially spend time in the library.

b) The sample in this case is the random sample of 200 members that was taken from the university community. It represents a subset of the population of interest and is used to make inferences about the larger population.

c) In this case, 30 minutes is a statistic, not a parameter.

A statistic is a value calculated from a sample that describes some characteristic of the sample. In this case, the average time spent in the library, which is 30 minutes, was computed from the sample of 200 members. It represents the average time spent in the library by the sampled members.

On the other hand, a parameter is a value that describes a characteristic of the population. Since the average time spent in the library is based on the sample and not the entire population, it cannot be considered a parameter.

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40.13  percentage of the bottles contain less than 32 oz of soda.

Mean (μ) = 32.3 oz

Standard Deviation (σ) = 1.2 oz

Threshold value (X) = 32 oz

We can use the standard normal distribution (Z-distribution) to calculate the cumulative probability.

First, let's standardize the threshold value using the formula

Z = (X - μ) / σ

Z = (32 - 32.3) / 1.2 Z ≈ -0.25

Next, we'll look up the cumulative probability corresponding to Z = -0.25 in the standard normal distribution table or use a calculator.

From the standard normal distribution table or calculator, we find that the cumulative probability for

Z = -0.25 is approximately 0.4013.

This means that approximately 40.13% of bottles contain less than 32 oz of soda.

Therefore, about 40.13% of the bottles contain less than 32 oz of soda.

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Answer:

D, A, B, C

Step-by-step explanation:

-12/3, or -4, is lowest

-11/3, or -3.6, is 0.3 more, therefore closer to 0.

-2/3, or -0.6, is much closer to 0, precisely 3 units closer.

1/3, or 0.3, is the only positive number, so it is the most amount.

The solution to the equation \(cos(7x) = sin(4x+5)\)° is \(x = 7.73\)°.

To solve for x, we will use the trigonometric identity sin(θ) = cos(90° - θ) to convert the equation into an equivalent form.

\(cos(7x) = sin(4x+5)\) can be rewritten as \(cos(7x) = cos(90 - (4x+5))\)

Using fact that cosine function is periodic with a period of 360°, we will set angles inside the cosine functions equal to each other:

7x = 90° - (4x+5)°

Simplifying:

7x = 90° - 4x - 5°

7x + 4x = 90° - 5°

11x = 85°

x = 85° / 11

x = 7.73°.

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The surface area of the composite figure is 1474 square feet.

In the composite figure, there are two shapes rectangular prism and triangular prism.

Surface area of rectangular prism = 2(lb+bh+hl)

= 2(19×9+9×11+11×19)

= 958 square feet

Surface area of triangular prism = (Perimeter of the base × Length of the prism) + (2 × Base Area)

= (S1 +S2 + S3)L + bh

= (13+13+10)×11+10×12

= 516 square feet

Total surface area = 958+516

= 1474 square feet

Therefore, the surface area of the composite figure is 1474 square feet.

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Only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane. So, correct option is A.

In the 1H NMR spectrum, the number of singlets corresponds to the number of unique hydrogen environments in the molecule. Each unique hydrogen environment, where the hydrogens are chemically equivalent, will produce a singlet peak.

In 2,2,4,4-tetramethylpentane, all the carbons are identical, and each carbon is bonded to three hydrogen atoms. The four methyl groups (-CH3) are also chemically equivalent to each other. Therefore, all the hydrogens in this molecule are in equivalent environments, and there are no differences between them.

Since all the hydrogens are chemically equivalent, they will produce a single peak in the 1H NMR spectrum. This single peak is called a singlet.

Hence, the correct answer is option a, as only one singlet is expected in the 1H NMR spectrum of 2,2,4,4-tetramethylpentane.

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Answer: Two singlets.

Step-by-step explanation:

The methyl groups are all equivalent with no neighbors, so they all give rise to only 1 peak.

There is a methylene group that gives rise to another peak.

So the total is 2 singlets.

Let's say we have blue and red balls

Blue : Red

3 : 5

Now we can add another ratio for the whole.

Blue : Red : Total

Total is Blue + Red = 3 + 5 = 8

So

Blue : Red : Total

3 : 5 : 8

Then the part : whole ratio for Blue is...

Blue : Total

3 : 8