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kirza4 [7]
3 years ago
9

Which expression is equivalent to |b|>2 ?

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0

Answer:

b < –2 or b > 2

Step-by-step explanation:

The given expresion is

|b|  \:  >  \: 2

By the definition of absolute value function.

|x|=x, if x>0

|x|=-x, if x<0

This implies that:

b \:  >  \: 2 \: or \:   - b \:  >  \: 2

Divide the second inequality by -2 and reverse the sign

b \:  >  \: 2 \: or \:  b \:   <   \:  - 2

Option B is correct

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Need Help ASAP!!
Aleksandr-060686 [28]

Answer:

$1480.24

Step-by-step explanation:

This will be solved by the formula:

FV=I(1+r)^t

Where

FV is the future value (what we are looking for)

I is the initial amount (which is $1000)

r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)

t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)

<em>plugging the info into the formula we will get our answer.</em>

<em>FV=I(1+r)^t\\FV=1000(1+0.04)^{10}\\FV=1000(1.04)^{10}\\FV=1480.24</em>

4 0
3 years ago
A prime number p is a divisor of 420 and 540. How many possible values of p are there?
kotykmax [81]

Answer:

3 possible prime divisors that go into 420 and 540:

2,3,5

hope this helps!

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
PLEASE HELP FAST Segment PR and segment QS are diameters of circle U. Find measure of arc ST
kogti [31]

Answer:

Maybe 74

Step-by-step explanation:

42+64=106

180-106=74

5 0
3 years ago
The circumference of jj's basketball is 29.6 inches. Will it go through the basket that is 10 inches in diameter?
Olenka [21]

Step-by-step explanation:

circumference of jj's basketball = 29.6 inches

Circumference of basket = 3.14 * 10 = 31.4 inches

Because

circumference of jj's basketball < Circumference of basket

Therefore ball will go through the basket.

7 0
3 years ago
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In the circle below, DB = 22 cm, and m&lt;DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

6 0
3 years ago
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