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3 years ago

If Bryson had 1/4 of g pie, and he wanted to split il

Mathematics

1 answer:

devlian [24]3 years ago

6 0

Answer:

1/16

Step-by-step explanation:

Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16

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Radical 18x divided by radical 2xsquared

morpeh [17]

$\frac{ \sqrt{18x}}{ \sqrt{2 x } }= \frac{ \sqrt{9*2x}}{ \sqrt{2 x } }= \frac{3 \sqrt{2x}}{ \sqrt{2 x } }=3$

7 0

3 years ago

A large tank is partially filled with 100 gallons of fluid in which 20 pounds of salt is dissolved. Brine containing 1 2 pound o

sertanlavr [38]

Answer:

Step-by-step explanation:

From the given information:

$R_{in} = ( \dfrac{1}{2} \ lb/gal) (6)\ gal /min \\ \\R_{in} = 3 \ lb/min$

Given that the solution is pumped at a slower rate of 4gal/min

Then:

$R_{out} = \dfrac{4A}{100+(6-4)t}$

$R_{out}= \dfrac{2A}{50+t}$

The differential equation can be expressed as:

$\dfrac{dA}{dt}+ \dfrac{2}{50+t}A = 3 \ \ \ ... (1)$

Integrating the linear differential equation; we have::

$\int_c \dfrac{2}{50 +t}dt = e^{2In |50+t|$

$\int_c \dfrac{2}{50 +t}dt = (50+t)^2$

multiplying above integrating factor fields; we have:

$(50 +t)^2 \dfrac{dA}{dt} + 2 (50 + t)A = 3 (50 +t)^2$

$\dfrac{d}{dt}\bigg [ (50 +t)^2 A \bigg ] = 3 (50 +t)^2$

$(50 + t)^2 A = (50 + t)^3+c$

A = (50 + t) + c(50 + t)²

Using the given conditions:

A(0) = 20

⇒ 20 = 50 + c (50)⁻²

-30 = c(50) ⁻²

c = -30 × 2500

c = -75000

A = (50+t) - 75000(50 + t)⁻²

The no. of pounds of salt in the tank after 35 minutes is:

A(35) = (50 + 35) - 75000(50 + 35)⁻²

A(35) = 85 - $\dfrac{75000}{7225}$

A(35) =69.6193 pounds

A(35) $\simeq$ 70 pounds

Thus; the number of pounds of salt in the tank after 35 minutes is 70 pounds.

6 0

3 years ago

Please Help Me!!! ASAP

FrozenT [24]

Answer:

x= 8

Below is the diagram.

Step-by-step explanation:

Given,

$YW \ bisects\ \angle XYZ$

Such that,

$m\angle XYW=\ m\angle WYZ$

Thus, substituting their values.

$(3x-7)=(2x+1)\\3x-7=2x+1\\3x-2x=1+7\\x=8$

Therefore on simplifying we get x= 8

7 0

4 years ago

PLEASE HELP WITH THESE COORDINATES ❤️ (DUE TODAY!!!)

Scrat [10]

The coordinates for Point W should be (8,0). This is because Point W is stated to be 8 units away from the origin (0,0) on the x axis. If Point W is 8 units away from (0,0) aka the origin, and on the x axis, then Point W has to be (8,0).

6 0

4 years ago

the function g(t) = 2t represents the number of guitar lessons, g(t), you can complete in t months. how many guitar lessons can

Cloud [144]

T=months so if you have 7 months you would plug 7 in for (t)
making the equation g(7) = 2(7)

5 0

4 years ago