3x+4y=12
9x-2y=15
we will use elimination
multiply 3x+4y=12 by -3
-9x-12y=-36
9x-2y=15
_________ add
-14y=-21
÷-14 both sides
y=1.5
find x
3x+4 (1.5)=12
3x+6=12
-6 both sides
3x=6
÷3 both sides
x=2
x=2
y=1.5
Answer:
Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
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VOLUME = 4/3 pie radius ³
Answer:
Category Relative Frequency
male survivors 17.3%
males who died 63.7 %
Female survivors 15.1 %
Females who died 3.8%
Step-by-step explanation:
- The relative frequency is the proportion of the number of times the event occurs to the total number of trials.
Given : Total people on ship = 2274
Number of male survivors = 394
⇒ Relative Frequency of male survivors =
In percent , 
Number of males who died =1449
⇒ Relative Frequency of male who died =
In percent , 
Number of female survivors =344
⇒ Relative Frequency of female survivors =
In percent , 
Number of females who died = 87
⇒ Relative Frequency of females who died =
In percent , 
Hence, the complete table would be :
Category Relative Frequency
male survivors 17.3%
males who died 63.7 %
Female survivors 15.1 %
Females who died 3.8%
Given:
Segment AC = 130 feet
Segment CD = 70 feet
I think that I'll be using the Pythagorean Theorem in finding the value of r. r will be the hypotenuse
Segment CE = (r - 70 feet)
r² = a² + b²
r² = 130² + (r-70)²
r² = 16,900 + (r-70)(r-70)
r² = 16,900 + r² - 70r - 70r + 4900
r² - r² + 140r = 16,900 + 4,900
140r = 21,800
r = 21,800/140
r = 155.71 feet
The radius of the circle is 155.71 feet.