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ad-work [718]
3 years ago
14

What is the positive solution to this equation 4x^2+12x=135

Mathematics
1 answer:
Stels [109]3 years ago
5 0

Answer:

answer for the equation is 6.75

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Name a rational number between the two given numbers? 7/11ths and 4/7ths explain how you know​
Alex_Xolod [135]

Answer:

basically u have to beble gep

Step-by-step explanation:

art

4 0
3 years ago
Suppose that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water
Setler79 [48]

Answer:

Step-by-step explanation:

Given that a large mixing tank initially holds 400 gallons of water in which 70 pounds of salt have been dissolved. Pure water is pumped into the tank at a rate of 4 gal/min, and when the solution is well stirred, it is then pumped out at the same rate.

Let Q(t) be the quantity of salt at time t.

Q(0) = 70 pounds

Inflow of water = outflow = 4 gal/min

So resulting volume of tank at time t = 400 gallons

Rate of change of salt = inflow - outflow

= 0 - \frac{Q(t)}{400}

i.e. \frac{dQ}{dt} =\frac{-Q(t)}{400}

This is a variable separable equation

\frac{dQ}{Q}=-\frac{dt}{400} \\ln Q = {-\frac{t}{400}} +C\\Q = A e^{-\frac{t}{400}}

Use when t =0 Q = 70

A =70

So A(t) = Q(t) = 70 e^{-\frac{t}{400}} and

A(0) = Q(0) = 70 lbs.

7 0
3 years ago
Ethan sold 2 3 gallon of lemonade. Kayla sold some lemonade too. Together, they sold 1 1 4 gallons. Who sold more lemonade, Etha
zhenek [66]

Step-by-step explanation:

Ethan sold 2/3 gallon of lemonade.

Kayla sold some lemonade too.

Together they sold 1 1/4 gallons.

Subtract 2/3 from 1 1/4 as follows :

S=1\dfrac{1}{4}-\dfrac{2}{3}\\\\=\dfrac{5}{4}-\dfrac{2}{3}\\\\=\dfrac{7}{12}

So, Kayla sold 7/12 gallons of lemonade.

As 2/3 is more than 7/12, it means Ethan sold more lemonade.

\dfrac{2}{3}-\dfrac{7}{12}=\dfrac{1}{12}

It means Eathn sold 1/12 more lemonade.

5 0
3 years ago
What is the midpoint of the segment shown below ?
Ivanshal [37]

(1,-1) and (4,-6)

midpoint:

x = (1 + 4)/2 = 5/2

y = (-1 - 6)/2 = -7/2


Midpoint (5/2, -7/2)


Answer

D.

(5/2, -7/2)

5 0
3 years ago
Read 2 more answers
Find the Value of X (In this picture)​
slava [35]

Answer:

x = 63

Step-by-step explanation:

It's Quadrilateral so:

360-90-72= x + x +22 (Cause that 2 triangle is isosceles)

2x=126

x=63

4 0
3 years ago
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