Which expression is equivalent to (7s - 2t) – (3s - 4st + 7t)?

A. 4s – 4st + 5t

B. 4s + 4st + 5t

C. 4s – 4st – 9t

D. 4s + 4st – 9t

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:

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

20.5 yeah :)

"HABANG BUHAY SONG"

[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:

[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:

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??????

Step-by-step explanation:

-0.7n = -1/2

-0.7n = -0.5

n = 0.5/0.7

n = 0.715

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:

2000

Step-by-step explanation:

larger sample sizes have more reliable results

Answer:

3 miles > 5,000

Step-by-step explanation:

hope this helps :)

have a great day or night.

pls brainliest first to answer.

Answer:

60ft^2

Step-by-step explanation:

area= 1/2(b)(h)

b for both traingles is 4

height of 1 triangle is 10 and the other is 20

total are will equal both triangles added together

area of first triangle = 1/2(10)(4)= 20ft^2

area of second triangle = 1/2(20)(4)= 40ft^2

area of the kite= 20+40= 60ft^2

Answer:

d

Step-by-step explanation:

394-153=241

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]

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:

845 miles

Step-by-step explanation:

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!

Answer: 3/5

Step-by-step explanation:

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

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:

$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:

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.

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 :)

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.

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 :)

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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Answer:

.006 as a percentage is .6%

Step-by-step explanation:

Multiply your number by 100 to get the percentage.

.006 x 100 = .6

Therefore, your answer is .6%.

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