What's the answer to this problem

Answers

Answer 1

The function shows that the chairs and sofas the manufacturer should produce to earn that profit is C. (6, 12) P= 1,260

How to explain the function

The profit function is P = 50x + 80y.

In order to find the optimal production quantities that will maximize the profit function, we need to determine which vertex yields the highest profit.

From the given vertices, we can see that the profit at (0,0) is 0. The profit at (0,15) is 1,200, and the profit at (6,12) is 1,260.

Therefore, the manufacturer should produce 6 chairs and 12 sofas to earn a profit of 1,260.

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Related Questions

Can someone help me with this pls

Answers

100 is the answer bro

Which of these are statistical questions? Select ALL that Apply Question 1: How many minutes does it usually take each teacher to get from home to work? Question 2: During the past year did you work for more than 50 weeks? Question 3: During the past year how many hours did each teacher usually work each week? Question 4: How many extra hours did each doctor work each week?

Answers

The statistical questions are:

Question 1: How many minutes does it usually take each teacher to get from home to work?Question 3: During the past year how many hours did each teacher usually work each week?Question 4: How many extra hours did each doctor work each week?

What is a statistical question?

A statistical question is a question that can be answered by collecting and analyzing data. It is a question that expects a variability in the response, meaning different individuals may give different answers. Statistical questions usually ask about a population, a group of individuals or objects that share a common characteristic or feature, and seek to understand a pattern or trend within that population.

In general, a statistical question is open-ended, does not have a single correct answer, and requires data analysis to arrive at a reasonable conclusion.

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In a lottery game, a player picks six numbers from 1 to 22. If the player matches all six numbers, they win 40,000 dollars. Otherwise, they lose $1.

Answers

To find the probability of winning the lottery game, we can use the formula for combinations:

nCk = n! / (k! * (n - k)!)

where n is the total number of choices (22 in this case) and k is the number of choices we make (6 in this case).

So, the number of possible combinations of six numbers from 22 is:

22C6 = 22! / (6! * 16!) = 13,983,816

Therefore, the probability of winning the lottery game is 1 in 13,983,816.

The expected value of playing the lottery game can be calculated as follows:

Expected value = (Probability of winning * Amount won) - (Probability of losing * Amount lost)

Expected value = (1/13,983,816 * $40,000) - (13,983,815/13,983,816 * $1)

Expected value = $0.5709

This means that on average, the player can expect to win about 57 cents per game played. However, it is important to note that this is just an average and the actual outcome of any single game can vary widely.

graph the cirlces (x+1)+(y+2)=9
Center :

Answers

Note that the graph of the function ((x+1)²+(y+2)²=9) is attached accordingly

What is a graph?

A coordinate graph is one that has two axes that are perpendicular to each other. These two axes are known as the x- and y-axes. The y-axis is represented by the vertical line, while the x-axis is represented by the horizontal line. A coordinate plane, a Cartesian plane, and a Cartesian coordinate system are other names for it.

The given circle has a radius of 3 units and centre is (-1,-2).

This circle can thus be drawn by first plotting the point (-1,-2) and then with this point as centre draw a circle of radius 3.

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Full question:

graph the circle

((x+1)²+(y+2)²=9)

find 15x2 2/3 using the distributive property

Answers

60 + 90, just multiply 15 by 2 and you get 30 so after get 30 you will multiply both by 30 which is 60 + 90

PLEASE HELP!!!

A cylinder has a height of 15 inches. A similar cylinder has a height of 20 inches.
What is the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder?
Enter your answer by filling in the boxes.

Answers

The ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder is 4:3, or 4/3.

How do you find the ratio of the surface area of the larger cylinder to the the smaller cylinder?

To find the ratio of the surface areas of the two similar cylinders, we need to consider the ratio of their corresponding dimensions. Since the two cylinders are similar, their radii are proportional to their heights. Let's denote the height of the smaller cylinder as h1, the height of the larger cylinder as h2, the radius of the smaller cylinder as r1, and the radius of the larger cylinder as r2.

Given:

h1 = 15 inches

h2 = 20 inches

The ratio of the heights is:

h2 / h1 = 20 / 15 = 4 / 3

Since the cylinders are similar, the ratio of their radii is the same as the ratio of their heights:

r2 / r1 = 4 / 3

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What is the output for x = -1

Answers

Answer:

f(-1) = 16

Step-by-step explanation:

"output" and the f(x) setup just means to plug in -1 in place of x and calculate.

For the function f(x) = 12(3/4)ˣ you have to already know that once you put that -1 in place of x that the -1 power only goes to the 3/4, not the 12 and also what to do with a negative exponent.

Exponent rules are just shortcuts. The shortcut to know here is that the -1 exponent will flip the 3/4 over and make it 4/3 (there are math reasons for this, it's not random. But that's how it works)

So now you have

f(-1) = 12(3/4)⁻¹ which becomes

f(-1) = 12(4/3)

Now you need to know how to multiply with fractions. Here you have a whole, big number times a fraction, which is:

"big num×top all over bottom"

So multiply the 12 times the 4 and put it over the 3

f(-1) = 48/3 = 16

(or you can "cancel" the 12 with the 3 and get 4×4, which is 16, so it comes out the same)

[SKIP TO HERE IF YOU DON'T CARE WHY]

f(x) = 12(3/4)ˣ

f(-1) = 12(3/4)⁻¹

f(-1) = 12(4/3)

f(-1) = 16

write the opposite of loss of 700

Answers

Answer:

gain of 700 or 700

Step-by-step explanation:

A loss of 700 would be -700 and the opposite of that is 700.

Helping in the name of Jesus.

inverse statement of M implies N

Answers

The inverse statement of M implies N is a negation of both the conclusion and the hypothesis.

What is an inverse statement?

An inverse statement is one in which both the hypothesis and the conclusion are negated. Let us assume a statement with the hypothesis and conclusion as follows: If they annul the law, we will drive carelessly.

The inverse of this statement will be: If they do not annul the law, we will not drive carelessly. So, both the hypothesis and the conclusion are rewritten in negative terms.

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NEED HELP ASAP PLS AND THX PIC IS ATTACHED

Answers

The trigonometry functions when evaluated are shown below

Evaluating the trigonometry functions

In trigonometry, sine (sin), cosine (cos), and tangent (tan) are three basic functions that relate angles to the sides of a right triangle.

They are defined as follows:

sin A = opposite side/hypotenuse.

cos A = adjacent side/hypotenuse.

tan A = opposite side/adjacent side.

So, we have

Figure 1

sin A = 6/9cos A = √5/3tan A = 6/√5

Figure 2

sin A = √2/2cos A = √2/2tan A = 1

Figure 3

sin A = √3/2cos A = 1/2tan A = √3

Answers

There would be 35 more defective bean seeds than pumpkin seeds in the shipment.

How to solve

Calculate the number of defective bean seeds:

Defective bean seeds = Total bean seeds * Defect rate for bean seeds

Defective bean seeds = 1,750 * 0.05 = 87.5

Since we can't have half a seed, we'll round it up to the nearest whole number.

Defective bean seeds = 88

Calculate the number of defective pumpkin seeds:

Defective pumpkin seeds = Total pumpkin seeds * Defect rate for pumpkin seeds

Defective pumpkin seeds = 1,750 * 0.03 = 52.5

Similarly, we'll round it up to the nearest whole number.

Defective pumpkin seeds = 53

Calculate the difference in defective seeds:

Difference in defective seeds = Defective bean seeds - Defective pumpkin seeds

Difference in defective seeds = 88 - 53 = 35

So, there would be 35 more defective bean seeds than pumpkin seeds in the shipment.

Answers

Answer:

30%

Step-by-step explanation:

Write the equation of a line that is perpendicular and passes through the midpoint of AB with A(-3, 5) and B(1, -1).

Answers

The given line AB is having endpoints A(-3,5) & B(1,-1).

To find the equation of line AB it can be written as[tex]y-y_1=(x-x_1){(y_2-y_1)/(x_2-x_1)}\\[/tex]

Substituting the given points

[tex]y-(-1)=(x-1){(5-(-1))/(-3-1)}\\[/tex]

y=-(3/2)x+1/2

For two perpendicular lines [tex]m_1*m_2=-1[/tex]

Therefore, (-3/2)*[tex]m_2[/tex]=-1

or [tex]m_2[/tex] = 2/3

Also, the midpoint of AB will be [tex]{1-(-3)}/2, {5-(-1)}/2[/tex] = (2,3).

The line passing through (2,3) & perpendicular to y=-3/2x+1/2 will be given as follows

(y-3)=(2/3)(x-2)

3y-9=2x-4

3y=2x+5 is the required equation of the line.

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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2

Answers

The answer of x is 16.

Can the sides of a right triangle have lengths 7,9 and the square Root of 155

Answers

Answer:

Step-by-step explanation:

In order for a triangle to be a right angle, the sum of the squares of the two legs (a and b) must be equal the square of the longest side, known as the hypotenuse (c):

[tex]a^2+b^2=c^2[/tex]

The square root of 155 is the longest side as it is approximately 12.45. Thus, if the triangle is a right triangle, the square root of 155 must be the hypotenuse.

We can now check to see whether the sum of the squares of 7 and 9 equal the square of the square root of 155:

[tex]7^2+9^2=(\sqrt{155})^2\\ 49+81=155\\130=155[/tex]

The equation is not true since 130 is less than and not equal to 155. Therefore, a triangle with side lengths 7, 9, and the square root of 155 cannot be a right triangle.

Solve for the missing side in each triangle

Answers

Answer:

6[tex]\sqrt{13}[/tex]

Step-by-step explanation:

a^2+b^2=c^2 c is hypotenuse, which is what we're looking for

12^2+18^2=c^2

144+324=c^2

c=[tex]\sqrt{468}[/tex]=[tex]\sqrt{36*13}[/tex]=6[tex]\sqrt{13}[/tex]

A washer and a dryer cost $770 combined. The washer costs $70 more than the dryer. What is the cost of the dryer?

Answers

Answer:

d = $350

Step-by-step explanation:

If we allow d to represent the cost of the dryer and w to represent the cost of the washer, we know that the total cost of the washer and dryer is

d + w = 770.

Since we're told that the washer costs $70 more than the dryer, we know that

w = d + 70

We can substitute equation for w in the original equation to find d:

d + d + 70 = 770

2d + 70 = 770

2d = 700

d = 350

If you went on to find w, you'd see that it'd be 420 since 770 - d = w and 770 - 350 = 420

We know that the dryer costs $350 and the washer costs $420. 420 is indeed $70 more than $350 so our answer for the cost of the dryer is correct.

The high school basketball team is selling donuts to raise money for the new uniforms. This team Mexico to sell at least $1000 in donuts. They are selling a half dozen box of donuts for eight dollars and a full dozen box of donuts for $12. They write the inequality 8X +12 Y is greater than or equal to 1000 to determine how many boxes they need to sell where X is the number of half dozen boxes and why is the number of four dozen boxes they sell which of the following solutions available in terms of the given context select all that apply.

Answers

The team can sell 50 half dozen boxes and 50 full dozen boxes to raise at least $1000.

Understanding Word Problem in Solving Maths

We can derive an inequality from the problem statement which is:

8X + 12Y >= 1000

This inequality represents the amount of money the basketball team needs to raise by selling donuts.

X is the number of half dozen boxes sold

Y is the number of full dozen boxes sold.

To find a solution in terms of the given context, we can plug in different values for X and Y that satisfy the inequality. For example:

If the team sells 50 half dozen boxes and 50 full dozen boxes, they will make:

8(50) + 12(50) = $400 + $600 = $1000

So this is a valid solution that meets the fundraising goal.

If the team sells 100 half dozen boxes and 0 full dozen boxes, they will make:

8(100) + 12(0) = $800

This is not enough to meet the fundraising goal, so it is not a valid solution.

If the team sells 0 half dozen boxes and 100 full dozen boxes, they will make:

8(0) + 12(100) = $1200

This is more than the fundraising goal, so it is a valid solution, but the team may not want to sell so many full dozen boxes.

Therefore, one solution in terms of the given context is that the team can sell 50 half dozen boxes and 50 full dozen boxes to raise at least $1000.

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Julie was testing how far two new electric cars—model A and model B—could drive on a full charge. She obtained a sample of 5 55 new cars of each model, charged them fully, and drove them as far as she could along a controlled route. Here is a summary of the distances: Distance Model A Model B Mean 168 km 168 km168, start text, space, k, m, end text 172 km 172 km172, start text, space, k, m, end text Standard deviation 5.4 km 5.4 km5, point, 4, start text, space, k, m, end text 7.5 km 7.5 km7, point, 5, start text, space, k, m, end text Number of cars 5 55 5 55 Julie wants to use these results to test H 0 : μ A − μ B = 0 H 0 : μ A −μ B =0start text, H, end text, start subscript, 0, end subscript, start text, colon, space, end text, mu, start subscript, start text, A, end text, end subscript, minus, mu, start subscript, start text, B, end text, end subscript, equals, 0 versus H a : μ A − μ B ≠ 0 H a : μ A −μ B  =0start text, H, end text, start subscript, start text, a, end text, end subscript, start text, colon, space, end text, mu, start subscript, start text, A, end text, end subscript, minus, mu, start subscript, start text, B, end text, end subscript, does not equal, 0. Assume that these are representative samples and all other conditions have been met. What is the P-value associated with these sample results? Choose 1 answer: Choose 1 answer: (Choice A) P -value < 0.01 P-value<0.01P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 01 A P -value < 0.01 P-value<0.01P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 01 (Choice B) 0.01 ≤ P -value < 0.05 0.01≤P-value<0.050, point, 01, is less than or equal to, P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 05 B 0.01 ≤ P -value < 0.05 0.01≤P-value<0.050, point, 01, is less than or equal to, P, start text, negative, v, a, l, u, e, end text, is less than, 0, point, 05 (Choice C) 0.05 ≤ P -value < 0.10 0.05≤P-value<0.100, point, 05, is le

Answers

The p value based on the information will be E. P - value ≥ 0.20

How to compute the value

Open Minitab 17. Select 'Stat' -> 'Basic Statistics' -> '2 - Sample t... Select 'Summarized data' from the dropdown menu.

Enter 5 in both Sample size of sample 1 and sample 2, 168 and 172 in Sample mean of Sample 1 and Sample 2. 5.4 and 7.5 in Standard deviation of Sample 1 and Sample 2.

Click on 'Options' and Enter 'Confidence level' 95.0(or the given Cofidence level) , 'Hypothesized difference' 0.0 , 'Alternative hypothesis' 'Difference \\neq Hypothesized difference'. Also the box 'Assume equal variance' can be ticked as requirement.

Click on 'Ok' -> 'Ok'.

Output: -

P - value = 0.361 i.e., P - value ≥ 0.20

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Georgia has 322 beads. She buys 38 more beads. She will use a 120 beats to make bracelets and use the rest of the beads to make necklaces. Each necklace has 9 beads. What is the greatest number of necklacea georgia can make?

Answers

Applying mathematical operations, the greatest number of necklaces Georgia can make is 26.

How the mathematical operations are applied:

The total number of beads available for making bracelets and necklaces is an addition operation between the beginning inventory of beads and the additional units purchased.

A subtraction operation is performed to determine the remainder after making bracelets.

Finally, a division operation determines the greatest number of necklaces to make.

The beginning inventory of beads = 322

The units purchased = 38 beads

The total number of beads that Georgia has = 360 (322 + 38)

The number of beads required to make bracelets = 120

The remainder after making bracelets = 240 (360 - 120)

The number of beads required for each necklace = 9

The greatest number of necklaces Georgia can make = 26 (240 ÷ 9)

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Please help quickly I'm begging!

Assignment details: In this assignment, you will create two graphs and answer questions about Bond's Gym, the business you are supporting.

Answers

The functions are f(x) = 600 - 10x & g(x) = 20/3x, and the graphs are added as attachments

Creating the functions of the Bond's Gym

From the question, we have the following parameters that can be used in our computation:

The table of values

For the membership application, we have the following features

Initial value = 600Constant rate of change = (450 - 600)/(15 - 0) = -10

So, the function is

f(x) = 600 - 10x

For the membership available, we have the following features

Initial value = 0Constant rate of change = (100 - 0)/(15 - 0) = 20/3

So, the function is

g(x) = 20/3x

So, the functions are f(x) = 600 - 10x & g(x) = 20/3x

Answers

A.15/22 is the correct answer.

The correct answer is:

A. 15/22, represents a proper fraction.

Here, we have,

A proper fraction is a fraction where the numerator (the top number) is smaller than the denominator (the bottom number).

Out of the given options, only option A,

15/22, represents a proper fraction because 15 is smaller than 22.

Therefore, the correct answer is:

A. 15/22, represents a proper fraction.

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Ruth has a cylindrical cup that is filled with water. The cup has a diameter of 2 inches and a height of 6 inches. Select the containers that could hold all of the water in Ruth's cup

Answers

Since the containers were not given in the question, In a case whereby Ruth has a cylindrical cup that is filled with water where the cup has a diameter of 2 inches and a height of 6 inches, the volume of cylinder cup is 18.85inch^3.

How can the volume be calculated?

Note that ; the container were not given in the question, so we will just need to calculate the volume of the cylindrical cup to know how much water it can hold .

The volume of a cylinder can be caluculated using te exppresion π r² h

Then from the question the diameter = 2 inches radius = 2/2 = 1 inches

height =6 inches

π r² h

=π * 1^2 * 6

=18.85inch^3

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Question is in the image. Please help me solve these

Answers

Answer:

Step-by-step explanation:

Suppose you have a 4 foot sub and you have to feed 10 people ,how many cuts will you make?

Answers

Answer: Cut 3 inch per person

Step-by-step explanation:

there is a 4 foot sub you take the quadrilatiral and divide it by 10 and you get 3 inches per person remember to multiply the reciprocal by 12 as there are 12 inches in a foot and you have 4 foot so the product of that reciprocal will be equal to 4 divided by your sum from adding the recriptorcal into the quadrilateral remember a quadrilateral not a duolateral or a triolatiral as there is 4 feet in the sub. >:)

Answer:

7 Cuts

Step-by-step explanation:

This is because if you do 48 inches / 6 inches = 8 sections Since each cut will create two sections, you need to make 7 cuts (one fewer than the number of sections) to get 8 equal portions.

if you increase your current quality score of 85% by 7%, you will have a score of?

Answers

Answer:

90.95%

Step-by-step explanation:

85 * 0.07 = 5.95 5.95 + 85= 90.95

Answer:

The answer to your problem is, 90.95%

Step-by-step explanation:

Calculation:

In order to find the answer we need to

= Old score + New Score

= 85 + 7% of 85

= 85 + ( [tex]\frac{7}{100}[/tex] x 85 )

= 85 + ( 0.07 x 85 )

= 85 + 5.95

= 90.95

Which 90.95% is our answer.

Thus the answer to your problem is, 90.95%

What is the numerical expression that represents the sun of eight squared and thirty two

Answers

The numerical expression that represents the sum of eight squared and thirty two will be 96.

A numerical expression is a mathematical expression that consists of numbers and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.

The numerical expression that represents the sum of eight squared and thirty two is

= 8² + 32

= 64 + 32

= 96.

The question is incomplete and the complete question is '' What is the numerical expression that represents the sum of eight squared and thirty two''.

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The number of lattes sold daily by two coffee shops is shown in the table.

Shop A Shop B
55 45
52 42
56 57
48 48
57 11
40 10
45 46
41 43

Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
A. Mean for both coffee shops because the data distribution is symmetric
B. Median for both coffee shops because the data distribution is not symmetric
C. Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
D. Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric

Answers

Based on the data given in the table, B. Median for both coffee shops because the data distribution is not symmetric

Why is the median better ?

It is better to describe the centers of distribution in terms of the median rather than the mean for both coffee shops because the data distribution is not symmetric.

The median is a better measure of central tendency in this case because it is not influenced by outliers or extreme values, which may exist in the data.

The mean, on the other hand, is sensitive to outliers and may not provide an accurate representation of the data distribution.

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If cos(x) = -5/6, x in quadrant II, then find exact values (without finding x):

sin(2x)= ?
cos(2x)=?
tan (2x)=?

Answers

If cos(x) = -5/6, and x lies in quadrant"II", then exact values are:

sin(2x) = (-5√11)/(18);

cos(2x) = 7/18;

tan (2x) = -5√11/7.

We know that, Cos(x) = -5/6 and "x" is in quadrant II, so, we can use the Pythagorean identity to find sin(x):

sin(x) = √(1 - cos²(x)) = √(1 - (-5/6)²) = √(1 - 25/36) = √(11/36) = √11/6

Using the double angle trigonometry identities for sine and cosine, we find sin(2x) and cos(2x):

Substituting the value of Sin(x) and Cos(x),

We get,

sin(2x) = 2sin(x)cos(x) = 2(√11/6)(-5/6) = (-5√11)/(18);

cos(2x) = cos²(x) - sin²(x) = (-5/6)² - (11/6) = 25/36 - 11/36 = 14/36 = 7/18;

Finally, we find tan(2x) by using the identity:

tan(2x) = sin(2x)/cos(2x) = (-5√11/18) / (7/18) = -5√11/7.

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Can someone help me please

Answers

The row operation is given as follows:

Division by 7 = multiplication by 1/7.

The matrix after the row operation is then given as follows:

[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]

How to do the row operation?

The matrix in the context of this problem is defined as follows:

[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]

The element at row 1 and column 1 is given as follows:

An example of a valid row operation is the multiplication of the row by a constant, and as the element has a value of 7, the constant to obtain a value of 1 is:

7/k = 1

k = 7.

The first row is given as follows:

7, -4 and 8.

Dividing every element of the first row by 7, the resulting matrix is then given as follows:

[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]

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In a common type of mass spectrometer, a beam of ions is passed through a velocity sectorwith crossed electric and magnetic fields. What is the purpose of the velocity sector?O to block all ions except those with specific speedsto decrease the kinetic energy of the ionsO to prevent the ions from traveling in a circular pathO to strip loose electrons from the ions Please help if I don't finish this today my parents gonna take my phone awayFind the slope to solve the problem.Sue drives 200 miles by 1:00 pm. She drives 350 miles by 4:00 pm if she continues at the same rate, how far will she drive by 5:00 pm? promotion helps consumers because it group of answer choices informs consumers and places them in a position to specify the products that they seek. tends to be informative and not persuasive. costs billions of dollars each year, which stimulates the u.s. economy. persuades consumers to make the right choices. always stresses wholesome values, which benefits society. 9. the volume of a gas filled balloon is 30.0 l at 313 k and 1.5 atm. what would the volume be if the balloon was changed to stp? 3.What is sonography?using infrasonic waves to communicate long distancesthrough the groundusing ultrasonic waves to communicate and hunt for preyMacBook Airusing infrasonic waves to create images of submergedobjectsusing ultrasonic waves to create images of objects foundinside other objects Dimensional analysis with shapes If the points a,b and c have the coordinates a(5,2) , b(2,-3) and c(-8,3) show that the triangle abc is a right angled triangle One option in a roulette game is to bet 11on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the 11 you paid to play the game and you are awarded 11. If the ball lands elsewhere, you are awarded nothing and the 11 that you bet is collected. Complete parts (a) through (b) below. 11 unit 8 quiz SoWhy do almost all social changes create controversy? A. Many in society are reluctant to embrace change. B. All social change requires a radical change in values. C. Social change has been shown to have few positive benefits. D. Social change is almost always the result of destructive forces. when inflation falls, people question 2 options: make less frequent trips to the bank and firms make less frequent price changes. make less frequent trips to the bank while firms make more frequent price changes. make more frequent trips to the bank while firms make less frequent price changes. make more frequent trips to the bank and firms make more frequent price changes. The author uses the following sentence (paragraph 10) to show .A spectacle like that, full of so much human truth and with such a fearful lesson, was bound to defeat without even trying that of a haughty angel who scarcely deigned to look at mortals.Answer choices for the above questionA. the sad irony that the townspeople could not see the human truth they could learn from their experience with the old manB. the spider-woman is more humble, or modest, about her experiences than the angelC. the crowds are much more interested in the angel than the woman-turned-spiderD. the townspeople are accurate in their assessment of the angel, and are right to turn their attention elsewhere Using kinematic equations to derive a formular for the horizontal range of the projectile interms of its initial velocity and angle Segments OT and OV are? You have been supplied with a concentrated solution of calcium dihydrogen phosphate to be used in a hydroponic system to grow lettuce. The solution has a phosphorus concentration of 200 mg/ L, however, in a hydroponic nutrient solution, the common range of elemental phosphorus required is 30-50 mg/L. Explain how you would prepare a solution containing 35 mg/L phosphorus in a 500 mL volume? Find the sum of the first 10 terms of the following series, to the nearest integer. 8,20/3,50/9 Robert, by 3/4 pound of Grace, and divided into six equal portions. What is the way of each portion