Workmen created a roped-off border of width x around a 34-by-10-foot rectangular museum display to house Egyptian artifacts, as shown. The combined area of the display and the roped-off area is 640 square feet. a. Write an equation for the combined area. b. Find the width of the roped-off area.​

Answers

Answer 1

(a) The equation to find the combined area is (34 + 2x) (10 + 2x) = 640.

(b) The width of the roped off area is 3 feet.

(a) Given that,

Length of the rectangular museum = 34 feet

Width of the rectangular museum = 10 feet

Area of a rectangle = Length × Width

Area of the rectangular museum = 34 × 10 = 340 feet²

Combined area = 640 feet²

(34 + 2x) (10 + 2x) = 640, which is the required equation.

(b) Solving the equation,

340 + 20x + 68x + 4x² = 640

4x² + 88x = 300

x² + 22x - 75 = 0

(x - 3) (x + 25) = 0

x = 3 or x = -25

x = -25 is not possible.

So width = 3

Hence the width of the roped off area is 3 feet.

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Related Questions

Determine the area of each face of a cube with the given surface area.
a) 306.6 square meters
b) 450 square inches ​

Answers

Answer:

51.1 m² and 75 in²

Step-by-step explanation:

A cube has 6 congruent square faces

Given the surface area of the cube, that is the combined area of the 6 faces , then

divide the surface area by 6 for area of each face.

(a)

306.6 m² ÷ 6 = 51.1 m²

(b)

450 in² ÷ 6 = 75 in²

a) The area of each face of a cube 306.6 is 51.1 square units.

b) The area of each face of a cube 450 is 75 square units.

a) A cube has 6 faces

Area of each face is (side × side)

Area = side × side

So, total area is equal to 6 times the area of each side.

Area = 6 × (side × side)

Now,

306.6 = 6 (side)²

(side)² = 51.1

Therefore, the area of each face is 51.1 square units.

b) A cube has 6 faces

Area of each face is (side × side)

Area = side × side

So, total area is equal to 6 times the area of each side.

Area = 6 × (side × side)

now,

450 = 6 (side)²

(side)² = 75

Therefore, the area of each face is 75 square units.

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given point O is the center of each circle:

given point O is the center of each circle:

Answers

Using the central angle theorem, we can find that the value of the angle:

∠ BOC = 130°.

Define central angle?

An inscribed angle is the angle formed inside the circle when two chords intersect it. It can also be defined as the angle made by two specific points at a given location on a circle. Instead, an inscribed angle is defined by two circle chords that share an endpoint.

In the given question,

O is the centre of the circle.

OC, OD, OE, OA and OB are all radius of the circle.

AC and BD are the diameters of the circle.

As BD intersects AC and the angles are given as:

∠COD = 50°

∠DOE = 60°

So, ∠ AOE = 180 - 50 - 60

= 70°

Similarly, ∠AOB = 50°.

Now, ∠ BOC = 360° - 50° - 60° - 70° - 50°

= 130°

Therefore, ∠ BOC = 130°.

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The wheels on Karin's bike are 64 inches in circumference. How many times do the wheels rotate if Karin rides 300 yards?

Answers

Answer: 169 times

Step-by-step explanation:

Circumference : 64inches

Distance: 300 yards

We know that 1 yard is 36 inches.

300yd*36 = 10800inches

10800/64 = 168.75 but rounding up makes it 169 times.

A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the variance to be 1.69. She thinks the mean is 7.6 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.14 at the 98% level of confidence

Answers

The minimum size of the sample required to ensure that the estimate has an error of at most 0.14 at the 98% level of the confidence interval is 791.

The standard deviation is given as (σ) = 1.69.

The mean number of dresses given (μ) = 7.6.

Margin of error given (M.E.) = 0.14.

Confidence level given = 98%.

Z-Score corresponding to 98% confidence interval (Z) = 2.33.

We are asked to find the minimum size of the sample required to ensure that the estimate has an error of at most 0.14 at the 98% level of the confidence interval.

We assume the size of the sample to be n.

By the formula of Margin of Error:

M.E. = Z*(σ/√n).

Substituting the values, we get:

0.14 = 2.33*(1.69/√n),

or, √n = 2.33*1.69/0.14 = 28.126429,

or, n = 791.096 ≈ 791 (As sample size needs to be a whole number).

Thus, the minimum size of the sample required to ensure that the estimate has an error of at most 0.14 at the 98% level of the confidence interval is 791.

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Please help due tonight

Please help due tonight

Answers

Answer:

n = 13

Step-by-step explanation:

1. (9n-8) and (6n-7) combined equal 180 degrees, and we can translate that into an equation and then solve it: \(9n - 8 + 6n- 7 = 180\)

2. (Solving)

Step 1: Simplify both sides of the equation.

\((9n+6n)+(-8-7) = 180\) \(15n-15=180\)

Step 2: Add 15 to both sides.

\(15n-15+15 = 180+15\) \(15n = 195\)

Step 3: Divide both sides by 15.

\(\frac{15n}{15} = \frac{195}{15}\) \(n = 13\)

Therefore, n = 13.

I need to double check a answer. For measure 1 and 3 I got 117, is that right? But for measure 2 I got 63 which is wrong but I have no idea how to solve it, please help me. Also the options are
27,63,73,117

I need to double check a answer. For measure 1 and 3 I got 117, is that right? But for measure 2 I got

Answers

Answer:

All are 63

Step-by-step explanation:

m∠1 = 180 - 117 = 63 (linear pair)

m∠2 = 63 (alternate interior angle with ∠1)

m∠3 = m∠1 = 63 (isosceles triangle property)

Hope it helps :)

Please mark my answer as the brainliest

Please help! Asap thanks!

Please help! Asap thanks!

Answers

The function value is 5/2 when x is 0 and value of function is 4 when x =-3.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=|1-x|/2 + 2

We need to find the value of function when x is 0 and when x is -3.

Plug in value x =0

f(0)=|1-0|/2+2

=1/2+2

f(0)=5/2

Now we have to find the function when x is -3

f(-3)=|1+3|/2+2

=4

Hence, the function value is 5/2 when x is 0 and value of function is 4 when x =-3.

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suppose that the only currency was 3-dollar bills and 10-dollar bills. show that every amount greater than 17 dollars could be made from a combination of these bills.

Answers

To show that every amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills, we can use a technique called "proof by induction."

First, let's check the base case: can we make 18 dollars using only 3-dollar and 10-dollar bills? Yes, we can use two 3-dollar bills and one 10-dollar bill: 3 + 3 + 10 = 16.

Now, let's assume that we can make any amount greater than n dollars using only 3-dollar and 10-dollar bills. We want to prove that we can make any amount greater than n+1 dollars as well.

To do this, we can consider two cases:

1. The amount we want to make includes at least one 10-dollar bill. In this case, we can subtract 10 dollars from the amount and use our induction hypothesis to make the remaining amount using only 3-dollar and 10-dollar bills. Then we add the 10-dollar bill back in, and we have made the original amount.

2. The amount we want to make does not include any 10-dollar bills. In this case, we can use our induction hypothesis to make the amount n-7 using only 3-dollar and 10-dollar bills (since 10 - 3 = 7). Then we add a 10-dollar bill and a 3-dollar bill to get n+3, and we can add another 3-dollar bill to get n+6. Finally, we add one more 3-dollar bill to get n+9, which is greater than n+1.

Therefore, we have shown that any amount greater than 17 dollars can be made from a combination of 3-dollar and 10-dollar bills using proof by induction.

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Use the integral test to determine whether each of the following series converges or diverges. For each, fill in the integrated and the value of the integral. Enter diverges if the integral diverges. Then indicate the convergence of the sum.
(a) [infinity]∑n=116n∑n=1[infinity]16n
(b) [infinity]∑n=1n+4n2+8n+4

Answers

The series diverges with an integral of 1/ln(16) and the series converges with an integral of 1/4 and a sum of 1/2.

We can use the integral test to determine the convergence of the series ∑n=1∞ 1/6n. The integral of the function f(x) = 1/6x is:

\(∫f(x) dx = (1/6) ln(x) + C\)

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/6) ln(∞) - (1/6) ln(1) = ∞

Since the integral diverges, the series also diverges.

We can use the integral test to determine the convergence of the series ∑n=1∞ \((n+4)/(n^2+8n+4\)). The integral of the function f(x) = \((x+4)/(x^2+8x+4)\) is:

∫f(x) dx = (1/2) ln(x^2 + 8x + 4) + 3 ln|x + 4| + C

Using the limits of integration from 1 to ∞, we get:

∫1∞ f(x) dx = (1/2) ln(∞) + 3 ln(∞ + 4) - (1/2) ln(13) - 3 ln(5) = ∞

Since the integral diverges, the series also diverges.

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a class has 50 students 18 are female and 32 are male. if a representative will be chosen in their class what is the probability of having a male or female

Answers

Answer:

64% male

36% female

Step-by-step explanation:

We know

A class has 50 students, 18 female, and 32 male.

If a representative is chosen in their class, what is the probability of having a male?

32 divided by 50, times 100 = 64%

So, 64% that the representative is male.

If a representative is chosen for their class, what is the probability of having a female?

18 divided by 50, times 100 = 36%

So, 36% that the representative is female.

Lunch is 7.95 the tax is 10% what’s the total cost

Answers

Answer: ($)8.75

Step-by-step explanation:

To calculate the tax, simply do 10%(0.1)*7.95 to get 0.795, rounding up to 0.80(money typically rounds up).

To calculate the total cost, simply do 7.95+0.80 to get 8.75.

Hope it helps <3

The answer is : 8.745

How many inch in 10 cm?

Answers

Answer: 3.93701

Step-by-step explanation:

Answer:

10 cm to inches is 3 15/16 inches, or in decimal, is 3.9370 inches

Step-by-step explanation:

.

Clarissa needs a $2,500 loan in order to buy a car. Which loan option would allow her to pay the least amount of interest?

Answers

Answer:

mortgage

Step-by-step explanation:

are loans distributed by banks to allow consumers to buy homes they can't pay for upfront. A mortgage is tied to your home, meaning you risk foreclosure if you fall behind on payments. Mortgages have among the lowest interest rates of all loans.

Answer:

An 18-month loan with a 4.75% annual simple interest rate

Step-by-step explanation:

What is the equation of this line? PLEASE HURRYYY!!!!!!

What is the equation of this line? PLEASE HURRYYY!!!!!!

Answers

I’m pretty sure the answer is y = 2x - 3

What is 7 1/2 divided by 3/4

Answers

Answer:

10

Step-by-step explanation:

7 1/2 = 7.5

3/4 = 0.75

7.5 ÷ 0.75 = 10

Check work:

0.75 x 10 = 7.5

if the expression 3x+2 is equal to 15 for some value of x, then what is the value of 9x+5

Answers

3x + 2 = 15

3x = 15-2

3x = 13

x = 13/3 = 4.33

9x + 5 = 9(4.33) + 5 = 39 + 5 = 44

How can I solve this problem?

How can I solve this problem?

Answers

a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price

b) The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

Given,

The purchase price for the studio apartment = $200,000

The down payment they paid = $60,000

a) We have to find the percentage of down payment to purchase price.

Here,

Percentage = (down payment x 100) / purchase price

= (60,000 x 100) / 200,000

= 60/2

= 30

That is,

The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.

b) We have to find the percentage to purchase price if the down payment is $90,000

Here,

Percentage = (down payment x 100) / purchase price

= (90,000 x 100) / 200,000

= 90/2

= 45

That is,

The  down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.

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LaTeX: \left(3x^2\:-\:1\right)+\left(3x^2\:-x^3\right)( 3 x 2 − 1 ) + ( 3 x 2 − x 3 )

Answers

Answer:

I wanted to simplify since u didn't specify what u wanted: -x^3 + 6x^2 -1

Step-by-step explanation:

I assume this is what you typed: (3x^2 - 1) + (3x^2 - x^3)

-x^3 + 6x^2 -1

Answer:

-x³+6x²-1

Step-by-step explanation: Hope it helps

just before a referendum on a school budget, a local newspaper polls 377 voters to predict whether the budget will pass. suppose the budget has the support of 54% of the voters. what is the probability that the newspapers sample will lead it to predict defeat?

Answers

The probability that the newspapers sample will lead it to predict defeat is 92.36%.

To solve this problem, we need to use the binomial distribution formula.

Let's define the following:

X: number of voters in the sample who do not support the budget (i.e., the sample leads to a prediction of defeat).

n: sample size, which is 377.

p: proportion of voters who support the budget, which is 0.54 (since 54% support it, 46% do not support it).

The probability of the sample leading to a prediction of defeat is:

P(X = k) = (n choose a) * pᵃ * (1-p)ⁿ⁻ᵃ

where (n choose a) = n! / (a! * (n-a)!) is the binomial coefficient.

We want to find P(X >= 189), which means that at least 189 voters in the sample do not support the budget.

P(X >= 189) = 1 - P(X < 189)

To calculate P(X < 189), we can use a normal approximation to the binomial distribution, since n is large and p is not too close to 0 or 1.

The mean of the binomial distribution is mu = n * p = 377 * 0.54 = 203.58

The standard deviation is sigma = √(n * p * (1-p)) = √(377 * 0.54 * 0.46) = 10.20

We can standardize X using the z-score formula:

z = (X - mu) / sigma

P(X < 189) = P(z < (189 - 203.58) / 10.20) = P(z < -1.43)

Using a standard normal table or calculator, we can find that P(z < -1.43) = 0.0764.

Therefore, P(X >= 189) = 1 - P(X < 189) = 1 - 0.0764 = 0.9236.

So the probability that the newspaper's sample will lead it to predict defeat is approximately 0.9236, or 92.36%.

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just before a referendum on a school budget, a local newspaper polls 377 voters to predict whether the

HELP!! I WILL NAME BRAINLIEST!If f(x) = (x + 7), which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x - 9)2
g(x) = (x - 5)2

Answers

Answer:

g(x) = (x + 5)2

Step-by-step explanation:

:)

please help me find the HCF of this​

please help me find the HCF of this

Answers

Answer: a

Step-by-step explanation:

\(a^{2}=a \cdot a\\a^{2}+ab=a(a+b)\)

Therefore, the HCF is a.

Answer:

a

Step-by-step explanation:

Factorizing both terms :

a² = a × aa² + ab = a × (a + b)

The HCF of the terms is a.

Find the measure of angle a and B. Round to the nearest degree.

Find the measure of angle a and B. Round to the nearest degree.

Answers

The measure of angle A and angle B are 32° and 58° respectively.

What is the measure of anglw A and B?

The figures in the image are right-triangle.

To find the measure of angle A and B, we use the trigonometric ratio.

For angle A:

Angle θ = ?

Opposite to angle θ = 8

Hypotensue = 15

Note that: sine = opposite / hypotensue

sinθ = 8 / 15

Take th sine inverse

θ = sin⁻¹( 8/15 )

θ = 32°

Angle A = 32°

For angle B:

Angle B = ?

Adjacent to angle B = 8

Hypotensue = 15

Note that: cosine = adjacent / hypotensue

cosB = 8/15

Take th cosine inverse

B = cos⁻¹( 8/15 )

B = 58°

Therefore, angle B measures 58 degrees.

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Compare / Contrast Exponential Equations

1.) 2 (1/5)x-5

2.) y=4x

Answers

The functions y = 2 (1/5)^x - 5 and y = 4^x are compared as follows

                                  y = 2 (1/5)^x - 5             y = 4^x

Initial value:               2                                    1

base function:        1/5 = decay function       4 = growth function

Translation:             5 units down                    no transformation

What is a decay function?

A decay function is a mathematical function used in various fields such as physics, engineering, economics, and machine learning, to model the reduction or decline of a value over time.

It is a type of function that decreases at a rate proportional to its current value, so that it approaches zero as time progresses.

Decay function are exponential functions with the base function as

0 < k < 1

This is the opposite of growth function which has values greater than 1

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I need help with finding the surface area of the prism

I need help with finding the surface area of the prism

Answers

Answer:May be 12

Step-by-step explanation:

Answer: The surface area of the rectangular prism is 114 cm^2.

Step-by-step explanation:

1) Formula:  A = 2wl + 2lh + 2hw

( W=width, l= length, h=height)

2) Plug it in: A=2(3)(8) + 2(8)(3) + 2(3)(3)  

3) A= 2( 24) + 2(24) + 2(9)

4) A= 48+ 48+ 18= 114

BRAINLIEST ANSWER IF CORRECT
What value of x shows removeable discontinuity?

BRAINLIEST ANSWER IF CORRECTWhat value of x shows removeable discontinuity?

Answers

Answer:

\(option \: c. \: is \: correct.\)

Step-by-step explanation:

\(the \: value \: of \: x \: that \: shows \\ removeable \: discontinuity \: is \: \to \: 2.\)

if a shirt costs $22. Quien give the person $88 how many shsirts is quien getting?

Answers

Answer:

Quien is getting 4 shirts

Step-by-step explanation:

22x=88

-----------

22     22

x=4

BRAINLIEST WOULD BE NICE :)

4 shirts. $22 times 4 is $88

Violet buys a dresser at a yard sale for $40. She decides to sell it online for a profit. If Violet wants to sell the dresser for at least $65, what is the smallest markup she can make to theoriginal price of the dresser?A. 60%B. 62.5%C. 65%D. 66.7%

Answers

Consider that the dresser costs $40 to Violet. So the cost price C is $40.

She wants to sell the dresser for at least %65,

Then the selling price S must be greater than or equal to $65,

\(S\ge65\)

Since there is no discount or any overhead expense, the selling price is the same as the marked price M,

\(M\ge65\)

Then the minimum marked price will be $65.

Therefore, option (C) is the correct choice (but the % symbol should not be there).

Hazel and Tom travel the same 18 km route.


Hazel starts at 9. 00 am and walks at a constant speed of 4. 8 km/h


Tom starts at 9. 39 am and runs at a constant speed.


Tom overtakes Hazel at 10. 15 am


At what time does Tom finish the route?

Answers

Answer:

11:27 am.

Step-by-step explanation:

The time which has passed when Tom overtakes Hazel is after Hazel has walked 1 hr 15 minutes and in that time Hazel has walked

1.25 * 4.8

= 6 km.

So, Tom runs 6 km in 10:15 - 9.39 = 36 minutes

= 0.6 hrs.

So, Tom's speed is 6/0.6 = 10 km/hr.

,

and Tom will take 18/10 = 1.8 hours to finish the route,

= 1 hr 48 minutes

So he finishes the route at

9:39 + 1:48

= 11:27 am.

What are some advantages of using a debit card as opposed to cash?
(select all that apply.)
debit cards can be set up to provide a revolving line of credit.
debit cards can be replaced if they are lost.
debit cards can help track spending carefully and accurately.
o debit cards can provide monthly interest payments.

Answers

The some advantages of using a debit card as opposed to cash are debit cards can be replaced if they are lost and  debit cards can provide monthly interest payments. So the option a and d is correct.

When a consumer uses a debit card to make purchases, the money is taken directly out of their checking account rather than being borrowed from a bank or card provider.

There is no revolving line of credit associated with a debit card.

You can usually request and receive a new debit card approximately two to three working days. When the debit card is claimed missing, the issue of a new duplicate card may be authorized. The bank might, however, charge a fee for providing the new card.

Another type of borrowing is the EMI for a debit card, which carries interest. Currently, annual interest rates are between 12 and 16 percent.

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Triangle ABC lies on the coordinate plane with vertices located at A(7,6), B(-3,5), and
C(-4,9). The triangle is transformed using the rule (x,y) -> (2x.y-3) to create triangle
A'B'C'. Select all possible answers for the vertices of triangle A'B'C'.
a. (14,3)
b. (9,3)
c. (-6,10)
d. (-8,6)
e. (-6,2)

Answers

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

What are the coordinates of the vertices of a traingle after using transformation rule?

In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.

If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:

A'(x, y) = (2 · 7, 6 - 3)

A'(x, y) = (14, 3)

B'(x, y) = (2 · (- 3), 5 - 3)

B'(x, y) = (- 6, 2)

C'(x, y) = (2 · (- 4), 9 - 3)

C'(x, y) = (- 8, 6)

The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)

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Other Questions
helpquestion below who is claude debusyy A solution is prepared by dissolving 15.0 g of table salt in 70.0g of water. Find(a) the mass percent of solute and (b) the mass percent of solvent. Independent Dependent 1. A cow is given a growth hormone and then compared to another cow that was not given a growth hormone. Both cows were weighed at 2 years. Read the passage.Once upon a time, many years ago-when our grandfathers were little children-there was a doctor, and his name was Dolittle-JohnDolittle, M.D....He was very fond of animals and kept many kinds of pets....Then his sister, Sarah Dolittle, came to him and said,"John, how can you expect sick people to come and you when you keep all these animals in the house? It's a fine doctor would have hisparlor full of hedgehogs and mice! That's the fourth personage these animals have driven away."...So, as time went on the Doctor got more and more animals; and the people who came to see him got less and less....And he kept on getting still more pets; and of course it cost a lot to feed them. And the money he had saved up grew littler and littler.Then he sold his piano, and let the mice live in a bureau-drawer. But the money he got for that too began to go, so he sold the brown suit hewore on Sundays and went on becoming poorer and poorer.And now, when he walked down the street in his high hat, people would say to one another, "There gobs John Dolittle, M.D.! There was atime when he was the best known doctor in the West Country-Look at him now-He hasn't any money and his stockings are full of holes!"(from The Story of Doctor Dolittle by Hugh Lofting)Which sentence best describes Dr. Dolittle's problem in the passage?O 1. His house is not large enough for all of his animals.O 2. His sister becomes very angry and will not talk to him.O 3. His patients stop coming to him because of his animals.O 4. His shirts and pants are so old that they are full of holes. Please help I will give brainleist and 5 star rating. Explain the Industrial revolution in 5 - 10 sentences and its importance to that time in history. Find the value of the derivative of the function at the given point. f(x)= 4x 3x; (-1,7) ( f'( - 1) = (Type an integer or a simplified fraction.) () a mental illness that affects or is manifested in a person's brain and can affect the way the person thinks, behaves, and interacts with others is referred to by the american psychiatric association as Find the volume of the square pyramid (round to the 10th place, if necessary) 0.10 mM KMnO4 has an absorbance maximum of 0.26 at 525 nm in a 1.000-cm cell. Find the molar absorptivity and the concentration of a solution whose absorbance is 0.52 at 525 nm in the same cell. Watch your units. A. 2.6 M-1 cm-1, 0.20 mM B. 2,600 M-1 cm-1, 0.20 mM C. 2,600 M-1 cm-1, 0.05 mM D. Not Enough Information Ten Days in a Madhouse Quiz What do the following lines from Chapter IV mainly reveal about Mrs. Stanard? "Oh, don't!" said Mrs. Stanard, in evident alarm. "Don't! She is a lady and it would kill her to be put on the island." O Mrs. Stanard fears the Island because she herself has been institutionalized there. O Mrs. Stanard has no confidence in the criminal justice system. Mrs. Stanard is unaware of Nellie's plan and genuinely wants to keep her safe. Mrs. Stanard hopes the judge will send Nellie back to the home so that she herself may take care of Nellie. Which set of ordered pairs does NOT represent a function?PLEASE HELP HURRYA. {(1, 2), (1, 3), (1, 4)}B. {(2, 3), (3, 3), (4, 3)}C. {(2, 2), (3, 3), (4, 4)}D. {(0, 0), (1, 3), (2, 6)} Surface area of figure J8in8in4in4in4in6in For what values of p is the series convergent?n=2[infinity](1)n1(lnn)pn5 I dont know math please help? WILL GIVE BRAINIEST!Think about all the things you have learned about during your life.Write about something you have learned and explain why it was important to you. Be sure to clearly state your central idea; organize your writing; develop your ideas; choose your words carefully; and, use correct spelling, capitalization, punctuation, grammar and sentences. a space shuttle burns fuel at the rate of 13,000kg in each second. find the force exerted by the fuel on the shuttle if in 2s the shuttle experiences a change in momentum of 325,000 kg m/s. ( 1. The fastest land dwelling creature is the Cheetah.Fact or Opinion Explain: _____________________________________________________________ 2. Michael Jordan has a career average of 30.4 points per game.Fact or Opinion Explain: _____________________________________________________________ 3. George Washington was the first President of the United States under the Constitution.Fact or Opinion Explain: _____________________________________________________________ 4. The ugliest sea creature is the manatee.Fact or Opinion Explain: _____________________________________________________________ 5. Michael Jordan is the greatest basketball player of all time.Fact or Opinion Explain: _____________________________________________________________ 6. There seems to be too much testing in public schools.Fact or Opinion Explain: _____________________________________________________________ 7. Prison is one of the worst places on the planet.Fact or Opinion Explain: _____________________________________________________________ 8. It is wrong for people under the age of 21 to drink alcohol.Fact or Opinion Explain: _____________________________________________________________ 9. Sister Carrie was written by Theodore Dreiser.Fact or Opinion Explain: _____________________________________________________________ 10. Lord of the Rings: Return of the King won eleven Oscars (Academy Awards). Fact or Opinion Explain: _____________________________________________________________ 11. Oranges contain both calcium and vitamin C.Fact or Opinion Explain: _____________________________________________________________ 12. Richard Pryor is the funniest comedian of all time. Fact or Opinion Explain: _____________________________________________________________ 13. Diamonds are the hardest substance on Earth.Fact or Opinion Explain: _____________________________________________________________ 14. McDonalds sells more hamburgers than any other restaurant chain in the world.Fact or Opinion Explain: _____________________________________________________________ 15. Horse manure smells awful.Fact or Opinion Explain: _____________________________________________________________ 16. The price of gas has grown to become too expensive.Fact or Opinion Explain: _____________________________________________________________ 17. Chicken has more protein than carrots.Fact or Opinion Explain: _____________________________________________________________ 18. The more money someone has the more successful they are. Fact or Opinion Explain: _____________________________________________________________ 19. Vegetarians are healthier than people who eat meat.Fact or Opinion Explain: _____________________________________________________________ 20. Cell phones emit radiation that may or may not cause brain cancer.Fact or Opinion Explain: _____________________________________________________________ 21. Students have a lot harder time in school than the teachers.Fact or Opinion Explain: _____________________________________________________________ 22. Popular music today is not as good as it was in the past.Fact or Opinion Explain: _____________________________________________________________ 23. It is illegal to yell out Fire in a crowded movie theater. Fact or Opinion Explain: _____________________________________________________________ 24. People should not be allowed to talk on cell phones in a movie theater.Fact or Opinion Explain: _____________________________________________________________ 25. Drunk drivers belong in prison.Fact or Opinion Explain: _____________________________________________________________ bless me ultima where did it happen Need help Language arts