If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?

Answer: 3 - 7 x 4

Step-by-step explanation:

7 - 3 = 4 x 4 = 16

Answer:

c

Step-by-step explanation:

10x10x10x10x10x10=1000000x1.2=1200000

a)  the value of the limit is 0.

b) the value of the limit is 0.

a) We'll use L'Hospital's Rule here.

Consider limx→0​x2sin23x​This is an indeterminate form of the type 0/0, so we can use L'Hospital's Rule.

L'Hospital's Rule states that if a limit is indeterminate, we can take the derivative of the numerator and denominator until the limit becomes determinate.

We can use this rule repeatedly if necessary.

Applying L'Hospital's Rule to the given limit, we have:

limx→0​x2sin23x​ = limx→0​2xsin23x​3cos(3x) = limx→0​6sin23x​−2x9sin(3x)cos(3x)​

Now we need to substitute x = 0 to get the limit value:

limx→0​6sin23x​−2x9sin(3x)cos(3x)​ = 6(0) − 0 = 0

Hence, the value of the limit is 0.

b) We can't use L'Hospital's Rule here. Let's see why.

Consider the limit limx→0+​xlnx

​This is an indeterminate form of the type 0×∞.

We can write lnx as ln(x) or ln(|x|) since ln(x) is only defined for x>0.

We'll use ln(x) here.

Let's change this into an exponential expression by using the natural exponential function: 

xlnx = elnlx = e(lnx)1/x

Now take the limit as x approaches 0+​:limx→0+​xlnx​ = limx→0+​e(lnx)1/x

​This becomes of the type 1∞, so we can use L'Hospital's Rule.

Differentiating the numerator and denominator with respect to x gives:

limx→0+​xlnx​ = limx→0+​e(lnx)1/x​ = limx→0+​1lnxx−1​

Now we need to substitute x = 0 to get the limit value:

limx→0+​1lnxx−1​ = limx→0+​11(0)−1​ = limx→0+∞ = ∞

Hence, the value of the limit is ∞.c)

We'll use L'Hospital's Rule here. Consider the limit limx→1−​(1−x)tan(2πx​)

This is an indeterminate form of the type 0/0, so we can use L'Hospital's Rule.

L'Hospital's Rule states that if a limit is indeterminate, we can take the derivative of the numerator and denominator until the limit becomes determinate.

We can use this rule repeatedly if necessary.

Applying L'Hospital's Rule to the given limit, we have:limx→1−​(1−x)tan(2πx​) = limx→1−​tan(2πx​)2πcos2πx​​​​​​​

Now we need to substitute x = 1− to get the limit value:

limx→1−​tan(2πx​)2πcos2πx​​​​​​​ = limx→1−​tan(2π(1−x))2πcos2π(1−x)​ = limx→0+​tan(2πx)2πcos2πx​ = limx→0+​sin(2πx)cos(2πx)2πcos2πx​​​​​​​= limx→0+​sin(2πx)2πcos2πx

​​​​​​​Now we need to substitute x = 0 to get the limit value:limx→0+​sin(2πx)2πcos2πx​​​​​​​ = sin(0)2πcos(0) = 0

Hence, the value of the limit is 0.

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Answer:

a) 166x.

Step-by-step explanation:

167x - x

= 166x.

Answer:

The correct answer is A) 166x

Hoped I helped

Answer: 3

Step-by-step explanation:

To find the x value, we must plug 6 in for y

6 = 15 - 3x

-9 = -3x

3 = x

Hope this helps!

Answer:

D) no solutions :D

Financial situation of Wanda when her monthly take-home pay is $3,000, her fixed monthly expenses are $2,575, and her average monthly variable expenses are $855 is that she is in debt.

Average total monthly expense of Wanda is the sum of fixed monthly expense and average monthly variable expense that is

Average total monthly expense = $2,575 + $855

= $3,430

Wanda has only income of $3,000 per month which is less than her total monthly expense. So she is in a debt situation with no savings or investments.

The term "financial situation" refers to a person's income, savings, investments, and debt.

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Answer:

1.39 inches

Step-by-step explanation:

Answer:

1.39 inches

Step-by-step explanation:

2 - 0.69

= 1.39

Answer:

7.241 X 10(power of -5)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.

1) The quantity supplied is 30 .

Quantity demand = 70 .

2) Equilibrium price is $2100 .

Quantity demanded and supplied at market equilibrium price is 50.

Given,

Supply function : p=40q+100

Demand function : p=4100-40q

Here,

When price is $1300, put p = $1300 in supply function .

p=40q+100

1300 = 40q + 100

q = 30

Hence the quantity supplied is 30 .

Now put p = $1300 in demand function ,

p=4100-40q

1300 = 4100 - 40q

-2800 = -40q

q = 70

Hence quantity demand = 70 .

b)

For market equilibrium we have to equate quantity (q) of supply and demand function,

So,

40q = p -100

q = p-100/40

the value of q in demand function,

q = 4100 - p /40

So equate both the values of q,

p-100/40 = 4100 - p /40

p - 100 = 4100 - p

p = 2100

Thus equilibrium price is $2100 .

Now substitute the value of p in supply function.

p=40q+100

2100 = 40q + 100

q = 50

Hence quantity demanded and supplied at market equilibrium price is 50.

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Answer:

12 miles

Step-by-step explanation:

Total miles = Length of trail ×

Number of times she rode

Total miles = 3 miles × 4 times

Total miles = 12 miles

Mika traveled a total of 12 miles.

Step-by-step explanation:

The expression that has a value of -15 when x=8 and y = 9 is (D) x-3²-y-6.

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

Exponential form- 300+60+1/10+2/100+4/1000

Expanded form- 300+60+1/10+2/100+4/1000 or Three hundred sixty and one two four.

Answer:

Step-by-step explanation:

The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.

Given that:

\(P = 39\) --- the perimeter of the shape

The value of x

The perimeter is the sum of all sides.

So, we have:

\(P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)\)

Substitute 39 for P

\(x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39\)

\(2x + 24 = 39\)

Collect like terms

\(2x = -24 + 39\)

\(2x = 15\)

Divide through by 2

\(x = 7.5\)

The area of the shape

The shape can be divided into two rectangles

So, the area of the shape is:

\(Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft\)

\(Area = 27ft^2 + 2ft \times x ft\)

Substitute \(x = 7.5\)

\(Area = 27ft^2 + 2ft \times 15 ft\)

\(Area = 27ft^2 + 30 ft^2\)

\(Area = 57 ft^2\)

Hence, the area of the shape is 57 square feet.

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The trapezoidal rule is a numerical integration method that uses trapezoids to estimate the area under a curve. The trapezoidal rule can be used for both definite and indefinite integrals. The trapezoidal rule approximation, Tn, to the integral sin r dz is given by:

Tn = (b-a)/2n[f(a) + 2f(a+h) + 2f(a+2h) + ... + 2f(b-h) + f(b)]where h = (b-a)/n. To determine how large n should be so that Tn is accurate to within 0.00001, we can use the error bound given in Section 5.9 of the course text. According to the error bound, the error, E, in the trapezoidal rule approximation is given by:E ≤ ((b-a)³/12n²)max|f''(x)|where f''(x) is the second derivative of f(x). For the integral sin r dz, the second derivative is f''(r) = -sin r. Since the absolute value of sin r is less than or equal to 1, we have:max|f''(r)| = 1.

Substituting this value into the error bound equation gives:E ≤ ((b-a)³/12n²)So we want to choose n so that E ≤ 0.00001. Substituting E and the given values into the inequality gives:((b-a)³/12n²) ≤ 0.00001Simplifying this expression gives:n² ≥ ((b-a)³/(0.00001)(12))n² ≥ (b-a)³/0.00012n ≥ √(b-a)³/0.00012Now we just need to substitute the values of a and b into this expression. Since we don't know the upper limit of integration, we can use the fact that sin r is bounded by -1 and 1 to get an upper bound for the integral.

For example, we could use the interval [0, pi/2], which contains one full period of sin r. Then we have:a = 0b = pi/2Plugging in these values gives:n ≥ √(pi/2)³/0.00012n ≥ 5073.31Since n must be an integer, we round up to the nearest integer to get:n = 5074Therefore, we should choose n to be 5074 so that the trapezoidal rule approximation, Tn, to the integral sin r dz is accurate to within 0.00001.

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The explicit formula for the nth term of the sequence 8, 40, 200, ..., is:

\(a_n = 8 \times 5^{(n-1)}\)

To find the explicit formula for the nth term of the sequence 8, 40, 200, ..., we first notice that each term is obtained by multiplying the previous term by 5. That is:

a₁ = 8

a₂ = 5a¹ = 40

a₃ = 5a² = 200

a₄ = 5a³= 1000

...

In general, we can write:

\(a_n = 5a_n-1\)

where n is the index of the term in the sequence.

Using the initial term a₁ = 8, we can use the recursive formula to find the value of any term in the sequence. However, to find an explicit formula for the nth term, we can use the formula for a geometric sequence, which is:

\(a_n = a_1 \times r^{(n-1)}\)

where r is the common ratio. In this case, the common ratio is 5, so we can substitute it into the formula to get:

\(a_n = 8 \times 5^{(n-1)}\)

The explicit formula for the nth term of the sequence 8, 40, 200, ..., is:

\(a_n = 8 \times 5^{(n-1)}\)

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Answer:

$2.25

Step-by-step explanation:

5 lbs = $11.25

The unit price in this context means the price of a 1-pound bag of dog food so you would divide $11.25 by 5:

$11.25 ÷ 5 = $2.25

Hope this helps!

Answer:

2.25 ($) per pound

Step-by-step explanation:                                                                               11.25 /  5 = 2.25 per pound   Alternative workings we simply divide by 10  to find   11.25 / 10  = 1.125 then multiply by 2                                                      1.125 * 2  = 2.25 ($) per pound

Answer: 26

Step-by-step explanation:

0 + 5 = 5

5 + 6 = 11

11 + 7 = 18

18 + 8 = 26

26 + 9 = 35

35 + 10 = 45

Starting to notice a pattern?

Answer:

26

Step-by-step explanation:

I believe it's 26 because

0 + 5 = 5

Then it would be 5 + 6 which equals 11

Then add 11 + 7 and it equals 18

So it is going up one so you add 18 + 8 which equals 26.

Then you would add 26 + 9 which equals 35

Then you would 35 + 10 which equals 45

etc...

I hope this helped. I am sorry if you get this wrong.

Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function

{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function

Answer:

the second set

Step-by-step explanation:

You cannot have the same number in your domain twice.

Answer:

b=2

Step-by-step explanation:

Answer:

Option 4

Graph showing polygon EFGHJ, with E(2,2); F(2,4); G(3,5); H(4,4) and J(4,2))

Step-by-step explanation:

The attached image is obtained from the original image by translation.

The attached image is obtained by sliding two units up and two units right.

If the coordinate in original image is (x, y), the coordinate of translated image is given by  (x+2 , y+2)

The original image and the translated image is always congruent.

50 small cabinets and 15 large cabinets should be packed by Lee in the truck  and these value is obtaied after solving the equations given below.

Given : Weight of large cabinet and small cabinet is 40 and 25 pounds respectively

Total load weight allowed in the truck = 1850 pounds  - (i)

Total cabinets allowed in the truck = 65            - (ii)  

Let Lee pack x number of large cabinet and y number of small cabinet

Using equation (i):

40*x + 25*y = 1850          - (iii)

Using equation (ii):

x + y = 65       - (iv)

multiply by 40 on the both side so the equation changes to :

=> 40*x + 40*y = 65*40

=> 40*x + 40*y = 2600       - (v)

Subtracting equation iii from iv :

40*y - 25*y = 2600 - 1850

=> 15*y = 750

=> y = 50

Using (iv) :

x = 65 - y = 65 - 50 = 15

So, 50 small cabinets and 15 large cabinets should be packed by Lee in the truck

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Answer:

5x?

Step-by-step explanation:

Because Zachary earns $5 per hour, and he makes a $20 bonus.

His equation is shown in red on the graph, y = 5x + 20.

Maisy earns $7.50 per hour, and she makes a $5 bonus.

Her equation is shown in blue on the graph, y = 7.50x +

5.

After how many hours do they earn the same amount of

money? Where do you see this on the graph? Share

your answer with the class when you are finished, then

read other people's responses.

Answer:

B) {8.71}

Step-by-step explanation:

3. l.c.m=28

28×3/7=28×b-7/4

4×3=7(b-7)

12=7b-49

12+49=7b

61=7b

61/7=7b/7

8.71=b

b=8.71.

Derek Jeter average was 4.9%greater than Jorge Posada 4.9% expressed as a percent.

To express decimal as percent we need to multiply the decimal with 100 .

The average or mean is defined as the sum divided by the frequency.

Here we have four averages given in decimal

Derek Jeter average in percentage =0.334*100=33.4%

Alex Rodriguez average in percentage=0.286*100=28.6%

Jorge posada average in percentage =0.285*100=28.5%

Hideki Matsui average in percentage=0.274*100=27.4%

From the above percentages Derek Jeter average was 4.9%greater than Jorge Posada =33.4-28.5=4.9%

Or we can say it as Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage.

Hence  Derek peter percentage was 14.68% greater than Jorge Posada on a scale of 100 percentage and  Derek Jeter average was 4.9% greater than Jorge Posada 4.9%.

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Answer: 37,40,20,11

Step-by-step explanation:

From top to bottom:

x=90-53 or 37

x=(180-60)/3 or 40

5x-45=55 so 5x=100 so x=20

110=55+5x so 5x=55 so x=11

Answer:

See explanation

Step-by-step explanation:

I'm assuming that it wants you to describe how you found x. Alright.

For the second question, we see this is a 180 angle, and we subtract the existing 60 degrees to get 120 degrees. Divide this by the coefficient of x ( 3 ) and we get 40 or x.
For the third question, we see the top and bottom are equal and the lines are reflective so (5x-45) = 55. We use alteration to change this to 5x = 100 or x = 20.
For the fourth question, BAD is 110, and 110 - 55 = 55 = 5x, so x = 11 since 5x = 55 and (5)(11) = 55.

Answer:

10 ÷ 2 + 5 x 3 + 4 - 5 x 2 - 8 + 4 x 2 - 16 ÷ 4 =5+15+4-10-8+8-4=20+4-18+4=24-18+4=6+4=10

Answer:

10

Step-by-step explanation:

Given:

10 ÷ 2 + 5 ⋅ 3 + 4 − 5 ⋅ 2 − 8 + 4 ⋅ 2 - 1 ⋅ 16 ÷ 4

Steps-by Step:

Divide the Number:

10 ÷ 2 + 5 ⋅ 3 + 4 − 5 ⋅ 2 − 8 + 4 ⋅ 2 - 1 ⋅ 16 ÷ 4

5 + 5 ⋅ 3 + 4 − 5 ⋅ 2 − 8 + 4 ⋅ 2 − 1 ⋅ 16 ÷ 4

Multiply the Number:

5 + 5 ⋅ 3 + 4 − 5 ⋅ 2 − 8 + 4 ⋅ 2 − 1 ⋅ 16 ÷ 4

5 + 15 + 4 − 5 ⋅ 2 − 8 + 4 ⋅ 2 − 1 ⋅ 16 ÷ 4

Multiply the Number:

5 + 15 + 4 − 10− 8 + 4 ⋅ 2 − 1 ⋅ 16 ÷ 4

5 + 15 + 4 − 10− 8 + 8− 1 ⋅ 16 ÷ 4

Divide the Number:

5 + 15 + 4 − 10− 8 + 8− 1 ⋅ 16 ÷ 4

5 + 15 + 4 − 10− 8 + 8− 1 ⋅ 4

Multiply the Number:

5 + 15 + 4 − 10− 8 + 8− 1 ⋅ 4

5 + 15 + 4 − 10− 8 + 8− 4

Add the Number:

5 + 15 + 4 − 10− 8 + 8− 4 =

10

The probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

To find the probability that all three balls are purple, we need to use the formula for the probability of the intersection of three events:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B)

where A, B, and C are the events of drawing a purple ball from the bag on the first, second, and third draws, respectively.

The probability of drawing a purple ball on the first draw is:

P(A) = number of purple balls / total number of balls = 9 / 15

After drawing a purple ball on the first draw, there are now 8 purple balls left in the bag out of a total of 14 balls, so the probability of drawing a purple ball on the second draw, given that a purple ball was drawn on the first draw, is:

P(B|A) = number of purple balls left / total number of balls left = 8 / 14

After drawing two purple balls, there are now 7 purple balls left in the bag out of a total of 13 balls, so the probability of drawing a purple ball on the third draw, given that two purple balls were drawn on the first two draws, is:

P(C|A and B) = number of purple balls left / total number of balls left = 7 / 13

Therefore, the probability of drawing three purple balls in a row is:

P(A and B and C) = P(A) x P(B|A) x P(C|A and B) = (9 / 15) x (8 / 14) x (7 / 13) = 0.1429 or approximately 14.29%

So, the probability of selecting all three purple balls is 0.1429 or approximately 14.29%.

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