Determine how many people will fit in a building with a width of 105 feet and a length of 250 feet, if we use a standard of 16 people per 25 square feet.

Y =k√x

12 = 3k

k = 4

now X = 1\2

y = 4√1/2

y = 2√2

Answer:

y = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given y is directly proportional to [tex]\sqrt{x}[/tex] then the equation relating them is

y = k[tex]\sqrt{x}[/tex] ← k is the constant of variation

To find k use the condition when x = 9, y = 12

12 = k[tex]\sqrt{9}[/tex] = 3k ( divide both sides by 3 )

4 = k

y = 4[tex]\sqrt{x}[/tex] ← equation of variation

When x = [tex]\frac{1}{2}[/tex] , then

y = 4[tex]\sqrt{\frac{1}{2} }[/tex] = 4 × [tex]\frac{1}{\sqrt{2} }[/tex] ← rationalise the denominator by multiplying by [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex]

y = [tex]\frac{4}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{2} }{\sqrt{2} }[/tex] = [tex]\frac{4\sqrt{2} }{2}[/tex] = 2[tex]\sqrt{2}[/tex]

Answer:

Below.

Step-by-step explanation:

y + 2 > -3(x + 1)

y + 2 > -3x - 3

y > -3x - 5

The graph will be the graph of the line y = -3x - 5 (dotted line),  with the area above the line shaded.

Answer:

i think the * is 100000, each number times 10

y = -49

multiply 7 on both sides

-7*7 = y/7*7

-49 = y

Answer:

y = -49

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-7 = y/7

Step 2: Solve for y

Answer:

see below

Step-by-step explanation:   5 25  14 02

herb garden is 1/8 The area of her vegetable garden

herb garden is 6 square feet

vegetable garden = ???

herb garden / vegetable garden  =   1/8      solve for vegetable garden

herb garden × 8  =  vegetable garden

       6 ft² ×  8  =  __________ ft²      

Answer:

She arrived home in December

Step-by-step explanation:

Add 14 months to October

Answer:

she returned home in December just add 14 months to October

Answer:

D. 144

Step-by-step explanation:

Find volume of shipping container:

2 2/3 = 8/3

2 x 1 = 2

8/3 x 2/1 = 16/3

Find volume of cube:

1/3 x 1/3 = 1/9 x 1/3 = 1/27

Find how many boxes fit in container:

16/3 ÷ 1/27

16/3 x 27/1

Simplify:

16/1 x 9/1 = 144/1

Answer: 144

Answer:   [tex]\frac{10}{\sqrt{3}}[/tex]

This is equivalent to [tex]\frac{10\sqrt{3}}{3}[/tex]

======================================================

Explanation:

To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.

This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.

The expression [tex]\frac{10}{\sqrt{3}}[/tex] is the same as [tex]\frac{10\sqrt{3}}{3}[/tex] after we multiply top and bottom by sqrt(3) to rationalize the denominator.

Side notes:

Step-by-step explanation:

A:x=5-7

x=-2

B:x=-16+2

x=-14

l have answered only A and B

Answer: about 3 buses

Step-by-step explanation: 162+24=186 and 65*3=195 so 3 buses is enough

Hope this helps:)

Answer:

the answer is in the picture

Answer:

[tex]\frac{z^{2} }{25}[/tex]

Step-by-step explanation:

In order to write the expression in the form of [tex]\frac{z^{2} }{k}[/tex] we simply have to open up the brackets. We do that the following way...

[tex](\frac{z}{5} )^{2} =( \frac{z}{5} )( \frac{z}{5}) = \frac{z^{2} }{25}[/tex]

Answer:

(x-4)(x+4)

Step-by-step explanation:

x^2 - 64 = x^2 - 4^2 = (x-4)(x+4)

Uh oh, looks like you need the graph to answer this question! If you post the graph then I can answer in numbers but for now, I'll try to explain:

1) I assume the graph looks like a dome shape, so based on that, where the line comes back down and hits the bottom line on which x value is larger will be whose stone hit the water second and what time will be what x value represents the time it hit the water.

2) look at the highest value on the purple graph and that is the maximum height (the y value of that point) and the x value of that highest point will be the time it took for the stone to reach its maximum height.

3) based on this question, the graph should start not on the 0 but at a point on the y axis, so whoever's starting y value is higher will be this answer and what that is will be the number answer to the what was it part.

Hope this helps and if you post the graph then I can do more! :)

Answer:

Step-by-step explanation:

x/y=y/x

4.5/3=24/y

do cross multiplication

24*3=y*4.5

72=4.5y

72/4.5=y

16=y

Answer:

3/6=4/8

Step-by-step explanation:

2/6=3/8

2*4 6*4=8/24

3*3 8*3=9/24

2/6 does not equal 3/8

3/6=4/8

3*4 6*4= 12/24

4*3 8*3=12/24

3/6=4/8 is true

Answer:

X>Dy+c

Step-by-step explanation:

I did this question before

Answer: B

I took the edge test

Step-by-step explanation:

The location of the complex number 5 - 2i will be (5, -2) which is point D. Then the correct option is D.

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as a+bi where the value of i is √(-1) and the value of i² is -1.

The complex number is given below.

⇒ 5 - 2i

The real part represents the x-axis and the imaginary part represents the y-axis. Then the location of the complex number is written as,

⇒ (5, -2)

The location of the complex number 5 - 2i will be (5, -2) which is point D. Then the correct option is D.

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ7

Answer:

"0.0041" is the right answer.

Step-by-step explanation:

According to the question,

The total possible number of tickets will be:

= [tex]6^5[/tex]

= [tex]7776[/tex]

here,

The total even numbers are:

= [tex]2[/tex]

i.e., (2, 4)

now,

With even numbers, the total number of tickets are:

= [tex]2^5[/tex]

= [tex]32[/tex]

hence,

The probability will be:

= [tex]\frac{32}{7776}[/tex]

= [tex]0.0041[/tex]

The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.0041.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. I

At a carnival entrance, tickets are assigned seven-digit numbers using the digits 0-5.

If one ticket number is chosen randomly for a prize.

Then the probability that every number on the ticket is even will be

The total possible number of tickets will be

⇒ 6⁵ = 7776

The total even numbers will be

⇒ 2 {2, 4}

With even numbers, the total number of tickets will be

⇒ 2⁵ = 32

Then the probability will be

[tex]\rm P = \dfrac{32}{7776}\\\\P= 0.0041[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

Area = 77ft²

Perimeter = 44 9/20 feets

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Base = 19 1/4 feets = 77/4 feets

Height = 8 feets

Area = 1/2 * 77/4 * 8

Area = (77 * 8) / 8

Area = 77 feet²

Perimeter of a triangle :

Sum of the sides

Perimeter = a + b + c

Perimeter = 19 1/4 + 10 + 15 1/5

Perimeter = 44 + (1/4 + 1/5)

Perimeter = 44 9/20

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT  = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes =   2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) /  ( 7 / 8 ) = 2 / 7

Answer:

Step-by-step explanation:

[tex]sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\cos\theta=\frac{\sqrt{2}}{2}[/tex]

we'll took the negative solucion of sin because sin is negative in IV cuadrant

[tex]sin\theta=-\sqrt{1-(\frac{\sqrt{2}}{2})^2}=-\frac{1}{\sqrt{2}}=-\frac{\sqrt{2}}{2}[/tex]

[tex]tan\theta=\frac{\sin\theta}{\cos\theta}[/tex]  => [tex]tan\theta=-1[/tex]

so, the right option is the last one

Answer:

(1,4)

Step-by-step explanation:

(1,-4) is over 1 and down negative 4 so reflected over the x-axis(the horizontal one) it would be four up so the answer is (1,4)

Answer: (1,4)

Step-by-step explanation:

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same. For example, when point P with coordinates (1,-4) is reflecting across the X axis and mapped onto point P', the coordinates of P' are (1,4)

all of the above which is e

Answer:

4000 fish left in lake after 5 years

Step-by-step explanation:

12 x 5 = 60 (60%)

10000 - 60% = 4000

Answer:

Number of cups water require for 30 muffins = 2.82 cups (Approx.)

Option "D"

Step-by-step explanation:

Given:

24 bran muffins required = 2.25 cups of flour

Find:

Number of cups water require for 30 muffins

Computation:

Assume;

Number of cups water require for 30 muffins = x

So,

24 / 2.25 = 30 / x

x = [30 × 2.25] / 24

x = 67.65 / 24

x = 2.8187

Number of cups water require for 30 muffins = 2.82 cups (Approx.)

Step-by-step explanation:

add 3

x = - 7___________..........