8) Marvel and DC Comics want to build a series of interactive museums for kids. They will
begin with a one level museum where they both originated from: New York City. They
want to be able to have as many as 50,000 visitors at one time. In order to
accommodate this many people, what is the maximum footprint the museum needs to
have while still meeting the state's fire code of 10 occupants per square foot?
Page 4

Answer:

D

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

Answer:

19.79 ft

Step-by-step explanation:

Given data

We are given that the dimension of the room is

Length= 14ft

Width= 14ft

Required

The Diagonal of the room

Applying the Pythagoras theorem we have

D^2= L^2+W^2

substitute

D^2= 14^2+14^2

D^2= 196+196

D^2= 392

D= √392

D= 19.79 ft

Hence the distance from one corner to the other is 19.79 ft

[tex]6\pi = \boxed{18.9ft}[/tex]

9514 1404 393

Answer:

  18 6/7 ft

Step-by-step explanation:

The circumference is given by the formula ...

  C = 2πr

The circumference of the larger circle is then ...

  C' = 2π(r+3) = 2πr +6π

The difference in circumference is ...

  C' -C = (2πr +6π) -(2πr) = 6π

For the given value of π, the difference in circumference is ...

  (22/7)(6 ft) = 132/7 ft = 18 6/7 ft

The circumference of the outer circle is greater by 18 6/7 ft.

Answer:

La respuesta esta abajo

Step-by-step explanation:

Un coeficiente es un número o símbolo multiplicado por una variable o una cantidad desconocida en un término algebraico, polinomio, una serie o cualquier expresión.

a) 5x² + 4x + 2 = 0

El coeficiente de x² = 5, el coeficiente de x = 4

b) –x² + 3x + 4 = 0

El coeficiente de x² = -1, el coeficiente de x = 3

c) x² - 4x + √7 = 0

El coeficiente de x² = 1, el coeficiente de x = -4

d) x² + 8 = 0

El coeficiente de x² = 1, el coeficiente de x = 0

Answer:

35 dogs

Step-by-step explanation:

40% more than 25 is 35

Answer:

11

Step-by-step explanation:

a + 4 when a = 7

First, plug in 7 for a.

7 + 4

Add.

11

This is your answer.

Hope this helps!

Answer:

that number is in standard form

Answer:

x=4, y=-2

Step-by-step explanation:

-5x+8y=-36

5x+7y=6

eqn 1+ eqn 2 gives

15y=-30

divide both sides by 15

y=-2, put in eqn 2

5x+7(-2)=6

5x=20 divide both sides by 5

x=4

Answer:

35 is its width and 63 is its length.

Step-by-step explanation:

7 x 5 = 35 and 98 - 35 equals 63 which is the length.

Answer:

a). -6x³ - 12x²    b). -12     c). 12

Step-by-step explanation:

a). (g x f)(x) can also equal f(g(x))

= f (2x +4)

= -3x² (2x+4)

= -6x³ - 12x²

b). f(g(-1))

g(-1) = 2(-1) + 4

= -2 + 4

= 2

f(2) = -3x²

= -3(2)²

= -12

c). g(h(3))

h(3) = 3x-1/2

= 3(3) - 1 / 2

= 4

g(4) = 2x + 4

= 2(4) + 4

= 12

Answer:

this Question

The manager of a home-improvement store is reviewing last year's profit from paint and paint-related accessories. In January, the store earned 5% of its $60,000 profit from paint and paint-related accessories. Based on this information, the manager estimates that the store earned $30, 000 from paint and paint-related accessories last year. A: Is the managers estimate correct? Why or why not? B: Which answer shows the correct estimate for the store's total profit from paint and paint-related accessories last year? Select one answer that is completely correct for question A and select one answer for question B B: $3,000 A: No, the manager incorrectly used the statistic established from his research to estimate the given parameter A: No, the manager incorrectly used the parameter established from his research to estimate the given statistic. A-Yes, the manager correctly used the parameter established from his research to estimate the given statistic. A: Yes, the manager correctly used the statistic established from his research to estimate the given parameter. B: $30,000 B: $15,000 B: $36, 000 A grocery store surveys 200 random customers to see how frequenty they will buy Charlie's Chocolate Cereal. The results indicate that 30 people will by the cereal month Estimate the number of customers that will buy the cereal monthly if 20.000 people shop at the store each m Enter your answer as a number, like this:42 A university conducts a study of tobacco use among 1000 of its students. Researchers survey male volunteers and female volunteers to find the frequency of tobacco use. The study finds that, of the people surveyed, 250 men and 50 women regularly use tobacco. The university concludes that male students use tobacco more frequently than female students. Which of the following situations would create a lurking variable that could impact the study? There may be more than one correct answer. Select all that apply. D if the university surveyed only men who used tobacco at least once in high school, participarnt history would be a lurking variable. nif the university extended the study to include 2000 participants, the number of participants would be a lurking variable. If the university surveyed more men than women, the number of male and female participants would be a lurking variable. If the university surveyed only students aged 18 to 22, the age f participants would be a lurking variable if the university conducted surveys between only 8 a.m, and 2 p.m., the time of day would be a

Answer:

$159.75

Step-by-step explanation:

137.45/252.60 + x = 1/3

252.60 + x = 412.35

x = 412.35 - 252.60

x = 159.75

Answer:

297.2

Step-by-step explanation:

549.8 ÷ 4 = 137.45

549.8 - 252.60 = 297.2

Answer:

x=2+i, 2-i

Step-by-step explanation:

Use symbolab, it's literally so easy.

Answer:

1.26 but rounded to the nearest 10 would be 1.3 so 1.3 is your answer

Step-by-step explanation:

a^2 + b^2 =c^2

1^2 + 2^2 = 1+4 = 5

so no it doesn't make a right triangle

Answer:

2.4 cm

Step-by-step explanation:

We know the length of segment AB and the length of segment BC. To find their midpoints, we can divide their length by 2.

Let's find the midpoint of AB.

Next let's find the midpoint of BC.

In order to find the difference between these midpoints, we can subtract the midpoint of AB by the midpoint of BC.

Therefore, the difference between the midpoints of AB and BC is 2.4 cm.

Answer:

3/2

Step-by-step explanation:

Slope= rise over run

rise=3

run=2

So 3/2

Answer:

the slope is -2

Step-by-step explanation:

hope it helps

have a nice day ^_^

Answer:

5 years

Step-by-step explanation:

Hope I helped!

Answer:

y = -x + 2, B is the answer

Step-by-step explanation:

If slope is -1, the equation is y = -x+b

Plug in (3,-1) into that equation.

-1 = -3 + b

b = 2

Answer:

x = 4, y = 9.

Step-by-step explanation:

3x -2y = -6 and y = x+5

Substitute y = x + 5 in the first equation:

3x - 2(x + 5) = -6

3x - 2x - 10 = -6

x = -6 + 10

x = 4

So y = 4 + 5 = 9.

Answer: 5/14

Step-by-step explanation:

Flip the second fraction and multiply across.

1/7 divided by 2/5 = 1/7 times 5/2

Answer:

0.32

.22

regular (capuccino is incorrect)

Step-by-step explanation:

in the mocha column 25 people prefer hot and 12 people prefer cold are equal to 37 people.  25+12=37

relative frequency of preferring cold is 12.  12÷37 = .32

In the hot column 11, 25, 19, 30 people are combined for total of 85 people who prefer hot coffee.  11+25+19+30=85

relative frequency of preferring a latte is 19: 19÷85 = .22

combine regular column for 17 ÷ 28 = .61

combine mocha column for 12÷40 = .30

combine latte column for 20÷39 = .51

combine cappucino column for 27÷57 = .47

The type of coffee that has the highest percentage of people who prefer it cold is regular.  (if you combine only the cold column you will end up with cappuccino which is wrong.)