Answer:
Step-by-step explanation:
1) f(x) = 7 - 8x²
f(3) = 7 - 8*3²
= 7 - 8*9
= 7 - 72
f(3) = -65
2) f(a) = -5(a-2)
f(3) = -5(3 -2) = -5 * 1 = -5
4) f(m) = m(m +4)
f(3) = 3*(3+4) = 3 * 7 = 21
Answer:
Step-by-step explanation:
Area of sector = (∅/360°) x πr²
Area of sector = 48cm²
radius = 4cm
π = 3.14
48 = (∅/360°) x 3.14 x 4 x4
48 = (∅/360°) x 50.24
48/50.24 =(∅/360°)
0.9554 = (∅/360°)
∅ = 0.9554 x 360 = 343.949≈343.95° ( these is when the angle is in degrees)
if it is radians
area of sector = 1/2r²∅
area of sector = 48
r = radius = 4
area of sector = 1/2r²∅
48 = 1/2 x 4 x4 x∅
48 = 2x4 x∅
48 = 8∅
∅ = 48/8 = 6 radians
the central angle in radians is 6
The probability according to the given scenario will be "
".
According to the question:
- The odds against winning the lottery are 48,000,000 to 1.
- Favorable outcome = 1
→ The total outcome will be:
= 
= 
As we know,
→ 
By putting the values, we get
→ 
Thus the above response is right.
Learn more about Probability here:
brainly.com/question/15739211
Answer:
Answer: 67 ≤ x ≤ 73 Step-by-step explanation: Given inequality is: |x − 70| ≤ 3 We have to find the value of x. If |x| ≤ a then x ≤ a and x ≥ -a . Applying this rule to given inequality,we get x - 70 ≤ 3 and x - 70 ≥ -3 Adding 70 to both sides of above both inequality,we get x-70+70 ≤ 3+70 and x-70+70 ≥ -3+70 Adding like terms,we get x ≤ 73 and x ≥ 67 Combining above two inequalities ,we get 67 ≤ x ≤ 73 which is the answer.
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4282353-what-are-the-solutions-to-the-absolute-value-inequality-x-70-3.html
Answer:
x = 36
Step-by-step explanation:
the supplementary angle in the lower right corner is 180 - 150 = 30°.
sin 30 = 18/x
0.5 = 18/x
x = 36
