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The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium.

The atrium with the maximum allowable radius (R), in feet, is represented in the image attached. The real atrium is possible if and only if the real radius (r) is less than the maximum allowable radius and therefore, the real volume (V), in cubic feet, must be less than than maximum possible volume (V'), in cubic feet.

First, we calculate the volume occupied by the maximum allowable radius:

V' = (8 · π / 3) · (45 ft)³

V' ≈ 763407.015 ft³

The proposed design of the atrium (V < V') is possible since its volume is less than the maximum possible atrium. [tex]\blacksquare[/tex]

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Answer:

The y-intercept is 5

Step-by-step explanation:

First Step is to set y by itself:

4y = -8x + 20

y = -2x + 5

Remember: y = mx + b and b is the y intercept

b = 5

Answer:

0 < t ≤ 8  (in hours)

Up to (and including) 8 hours

Step-by-step explanation:

Let t = number of hours the room is rented

Given:

Create an equation using the given information and solve for t:

⇒ 39 + 9.8t ≤ 117.4

Subtract 39 from both sides:

⇒ 9.8t ≤ 78.4

Divide both sides by 9.8

⇒ t ≤ 8

Therefore, the possible amounts of time for which they could rent the meeting room is 0 < t ≤ 8  (in hours)

Answer:

8 is the very maximum number of hours the room can be rented. As long as 8 is not exceeded, the room is rentable for what money the math club has.

Step-by-step explanation:

Givens

Formula

payment ≥ 39 + 9.80*t                where t is in hours.

Solution

117.40 ≥ 39 + 9.80*t                      Subtract 39 from both sides.

117.40 - 39 ≥9.80*t

78.40 ≥ 9.80*t                               Divide by 9.8

78.40/9.80 ≥ 9.80*t/9.80

8 ≥ t    

Answer t≥ 8

Answer:

65

Step-by-step explanation:

Use PEDMAS

P - Parenthesis ; E - exponents ; D -division ; M - mulitplication ;

A - Addition ;  S- subtraction.

First do the operation in the inner most parenthesis.

100 - [ 5 *(3 + 4)] = 100 - [ 5* 7 ]   {Now the outer parenthesis}

                             = 100 - 35

                             =  65

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

We have given that,

a = x^2,

b = 3x + 2,

c = x – 3

We have to determine ab- c^2.

A fraction is in its simplest form when the numerator and the denominator have no common factors besides one.

ab- c^2

[tex]=x^2(3x+2) - (x-3)^2\\ =3x^3 + 2x^2 - (x^2 - 6x + 9) \\=3x^3 + 2x^2 - x^2 + 6x - 9 \\=3x^3 + x^2 + 6x - 9\\[/tex]

The simplest form of a^2-ab is given by 3x^3 + x^2 + 6x - 9.

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The time period of the given function will be π.

We have the following expression -

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

We have -

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

We can write -

ωx = 2x

Now -

ω = 2π/T

(2π/T)x = 2x

2π/T = 2

T = 2π/2

T = π

Therefore, the time period of the given function will be π.

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Answer:

When one country has a commercial advantage over another country.

Step-by-step explanation:

(This is actually an AP Human Geography question). Ex: Florida grows oranges better than Maine due to Florida’s tropical climate. Florida has the comparative advantage.

B is 5.625

A=2x

C=8x

5.625x2(x)*8(x)=90

If I got this right pls give brainlest.

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Answer:

2, 4, 8

Step-by-step explanation:

Well, it says Max put $1 on the first day(which is already entered for you), then it says that he put in $2 on the second day. Then it says that he doubles how much he puts in each day after, which just means to multiply the last entered amount by 2. So, he put in 2 x 2 = $4 on the third day, and lastly, 4 x 2 = $8 on the fourth day.

Hope this helps :)

1) 13:3

2) Same

3) 49:12

4) 95:14

5) 82:13

6) 7:8

7) 9:2

8) 29:5

9) Same

10) 10:13

Your basically dividing them by each other on a calculator

E.g. 90 ÷117 = 10/13

(10:13)

Or

20:30

20÷30=2/3

(2:3)

So, you could find the HCF of both numbers.

( highest factor of 20 & 30 is 10)

Hope this helps!

20.5 yeah :)

"HABANG BUHAY SONG"

Answer:

$41.30

Step-by-step explanation:

First, divide 23.60 by 40

23.60/40 = 0.59

0.59 is the unit price, (or the worth of one {1} pound case)

0.59 * 70 = 41.3

$41.30 is the cost of a 70-pound case of bananas

hope this helps :)

[tex]6 + 5 + 3 + 1 = 15 \: marbles[/tex]

[tex]6 + 5 + 1 = 12 \: marbles[/tex]

[tex]p(a) = \frac{number \: of \: possibilities}{total \: number \: of \: possibilities} [/tex]

[tex]p(a) = \frac{12}{15} = \frac{4}{5} [/tex]

Answer:

The total number of marbles in the bag is:

6 blue marbles + 5 yellow marbles + 3 white marbles + 1 red marble = 15 marbles

The probability of not selecting a white marble can be calculated as follows:

Number of non-white marbles / Total number of marbles

There are a total of 15 - 3 = 12 non-white marbles in the bag (6 blue marbles + 5 yellow marbles + 1 red marble).

So the probability of not selecting a white marble is:

12 / 15 = 4/5

Therefore, the answer is C) 4/5.

Step-by-step explanation:

Answer: 3/5

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals of each other.

In other words, it shows when the ball hits the ground.

Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

Answer:

1.4 grams of medison for thr whole week combinded

Answer:

1.4 g

Step-by-step explanation:

0.2 gram per day x 7 days = 1.4 g total consumed in a week

Answer:

x = 2.5

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

9(3+x) = 4(3+x)

9(3+x) - 4(3+x) = 0

(9-4)(3+x) = 0

5(3+x) = 0

15+5x = 0

-15 = 5x

x = -3

Answer:

container for catching bugs because posters have nothing to do with volume

Answer:

I think Madden should go for the poster because poster have more angles as well as width length and height.

Step-by-step explanation:

Brainliest??????

Answer:

Step-by-step explanation:

Formula

Use V = L*w* h

Givens

L = 3 cm

w = 2 1/2 cm

h = 2 1/2 cm

Solution

V = 3 * 2 1/2 * 2 1/2

Answer: V = 18 3/4 cm^3

Answer:

845 miles

Step-by-step explanation:

Hope this helps!

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &28000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &5\\ \end{cases} \\\\\\ A=28000(1 - 0.09)^{5}\implies A=28000(0.91)^5\implies A\approx 17472.90[/tex]

Answer:

-2,4

Step-by-step explanation:

to do a reflection across the y axis, apply -x,y to your coordinates

Answer:

I dont know pls ask you parents...

Step-by-step explanation:

I dont know

Answer:

0.03

Step-by-step explanation:

[tex] \frac{0.21}{7} [/tex]

==>

[tex] \frac{0.21 \times 100}{7 \times 100} [/tex]

===>

[tex] \frac{21}{7} \times \frac{1}{100} [/tex]

==>

[tex]3 \times \frac{1}{100} [/tex]

==>

[tex] \frac{3}{100} [/tex]

==>

[tex]0.03[/tex]

Answer:

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

Step-by-step explanation:

let D be the line that passes through the points (6, -1) and (-6, 2)

Then D has an equation of the form D: y = ax + b

Now we need to find a and b in order to be able to write the equation of the line D:

[tex]a = \frac{-1-2}{6-(-6)}= \frac{-3}{12}= \frac{-1}{4}[/tex]

Since the point (6 , -1) lies on the line D then :

-1 = (-1/4) × (6) + b

then

-1 = (-6/4) + b

then 

b = -1 - (-6/4) = -1 + 6/4 = -4/6 + 6/4 = (-4+6)/4 = 2/4 = 1/2

then

b = 1/2

Conclusion:

Since a = -1/4 and b = 1/2 then

[tex]D : y = \frac{-1}{4}x + \frac{1}{2}[/tex]

Answer:

$3.31 for each

Step-by-step explanation:

$6.62 divided by 2 = $3.31

Answer:

$6.62 divided by 2= $3.31

Step-by-step explanation:

What your going to do is divide 6 by 2 = 3

Next divided 62 by 2 = 32

Easy =)

Have a great day/night

Answer:

  A. horizontal velocity is constant at 25 m/s in every interval

  B. downward velocity increases by 9.8 m/s each second, to 19.6 m/s, 29.4 m/s, 39.2 m/s, 49.0 m/s

Step-by-step explanation:

Since the ball is not rocket-powered, it has no acceleration in the horizontal direction. (We ignore slowing due to air friction.) The horizontal velocity remains constant at 25 m/s.

__

The vertical acceleration is given as 9.8 m/s² in the downward direction. That is, each second the ball is in motion, its velocity downward increases by 9.8 m/s. The table can be filled with ...

  t = 2 s, v = -19.6 m/s

  t = 3 s, v = -29.4 m/s

  t = 4 s, v = -39.2 m/s

  t = 5 s, v = -49.0 m/s

__

The sign is negative because the direction is downward. Positive is up.