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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?

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.

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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 $\sqrt{13}$

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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

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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

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Its B because its supposed to be OVER 250

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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

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3 years ago