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Vesna [10]
3 years ago
6

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

e?
Mathematics
1 answer:
strojnjashka [21]3 years ago
3 0
He had 50 books before.
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expand and simplify completely (log). PLEASEE HELP ASAP!!! I WILL GIVE BRAINLIEST!! thank you so much!!!!
r-ruslan [8.4K]

Answer:

c. 2 log3(y)+1+log3(x)

Step-by-step explanation:

  • When expanding and simplifying, we can see that the answer is 1+log3(x) + 2log3(y), which matches Answer Choice C.
7 0
2 years ago
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Find the distance between the two points in simplest radical form.
sweet-ann [11.9K]

Answer:

3\sqrt{13}

Step-by-step explanation:

Calculate the distance using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d = \sqrt{(-3-(-9))^2+(-1-8)^2}

  = \sqrt{(-3+9)^2+(-9)^2}

  = \sqrt{6^2+81}

   = \sqrt{36+81}

   = \sqrt{117}

   = \sqrt{9(13)}

   = \sqrt{9} × \sqrt{13}

   = 3\sqrt{13}

8 0
3 years ago
A rectangle Has an area of 252 yd.². The length of the rectangle is 10 yards longer than twice it’s worth. Find the width and le
Rama09 [41]

Answer:

Width = 9 yds

Length = 28 yds

Step-by-step explanation:

Width = x

Length = 2x + 10

Area is 252 yd²

x(2x + 10)  = 252

2x² + 10x - 252 = 0

2 (x + 14) (x - 9) = 0

(x + 14) (x - 9) = 0

x = - 14 or x = 9

Width = 9 yds

Length = 2x9 + 10 = 28 yds

7 0
3 years ago
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A school play earned over $250 from selling tickets, which cost $11 each. Which of the following inequalities models this situat
jeyben [28]
Its B because its supposed to be OVER 250
7 0
3 years ago
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A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in
Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

\frac{dr}{dt} =\frac{1}{2} --- rate of the radius

\frac{dh}{dt} =-\frac{1}{3} --- rate of the height

r = 2

h = \frac{1}{3}

Required

Determine the rate of change of the cone volume

The volume of a cone is:

V = \frac{\pi}{3}r^2h

Differentiate with respect to time (t)

\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})

Substitute values for the known variables

\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})

\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})

\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))

\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)

\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}

\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}

\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}

\frac{dV}{dt} = -\frac{88}{63}

\frac{dV}{dt} =-1.396in^3/min

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0
3 years ago
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