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3 years ago

A survey indicated that 3 out of 5 doctors we brand x aspirin. If 2000 doctors were surveyed how many used brand x

Mathematics

1 answer:

kykrilka [37]3 years ago

5 0

3/5 = 6%
0.06 x 2000 = 1200

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Consider the function f(x) = x^3 - 7x^2 - 2x + 14

mars1129 [50]

Answer:

There are 3 zeros, which are:

$x=7,\:x=-\sqrt{2},\:x=\sqrt{2}$

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:x^3\:-\:7x^2\:-\:2x\:+\:14$

To get the zeros of $f(x)$ , set $y$ or $f(x) =0$

$0=x^3-7x^2-2x+14$

$x^3\:-\:7x^2\:-\:2x\:+\:14=\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)$

$\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0$

Using the zero factor principle:

$\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

$x-7=0\quad \mathrm{or}\quad \:x+\sqrt{2}=0\quad \mathrm{or}\quad \:x-\sqrt{2}=0$

solving

$x-7=0$

$x=7$

$x+\sqrt{2}=0$

$x=-\sqrt{2}$

$x-\sqrt{2}=0$

$x=\sqrt{2}$

Therefore, there are 3 zeros, which are:

$x=7,\:x=-\sqrt{2},\:x=\sqrt{2}$

8 0

2 years ago

An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.

Orlov [11]

Arc length = radius * central angle (measured in radians)
There are 57.2957795131 degrees per radian so
45 degrees = (45 / 57.2957795131) = 0.7853981634 radians 
radius = arc length / central angle (radians)
radius = 6.5 / 0.7853981634 radians = 8.2760570408 cm

http://www.1728.org/radians.htm

8 0

2 years ago

Translate this problem to an equation and solve. The area of a patio is 72 square feet. The length of the patio is 1 foot longer

Inessa05 [86]

A = LW
A = 72
L = W + 1

72 = W(W + 1)
72 = W^2 + W
W^2 + W - 72 = 0
(W + 9)(W - 8) = 0

W + 9 = 0
W = -9......extraneous solution...does not work here

W - 8 = 0
W = 8 <==

L = W + 1
L = 8 + 1
L = 9

so the width (W) is 8 ft and the Length is 9 ft

7 0

2 years ago

A shop sells sweets where every 3 sweet wrappers can be exchanged for one more sweet. Kelvin has enough money to buy only 19 swe

drek231 [11]

Answer:

Kelvin can get 6 free sweets

6 0

1 year ago

This is an angle whose measure is exactly 90°

KatRina [158]

Answer:

A right triangle?

Step-by-step explanation:

8 0

2 years ago