Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD= 
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>
Answer:
.
Step-by-step explanation:
Answer:
119 student tickets and 95 non-student tickets
Step-by-step explanation:
I did a trial-and-error solution.
I started with 107 students and 107 non-students:
(107*$7)+(107*$12) = $2033
It was too high, which tells us that there should be more who paid for the cheaper price.
I ended up with 119 and 95:
(119*$7)+(95*$12) = $1973
Answer:
33.4933 ≈ 33.5 mm³
Step-by-step explanation:
Given that,
→ Radius (r) = 2 mm
Formula we use,
→ 4/3 πr³
Let's solve for the volume of sphere,
→ 4/3 πr³
→ 4/3 × 3.14 × 2 × 2 × 2
→ 4/3 × 3.14 × 8
→ 4/3 × 25.12
→ 100.48/3
→ 33.4933
→ [ ≈ 33.5 mm³ ]
Hence, volume of sphere is 33.5 mm³.
Answer:
130
Step-by-step explanation:
first find angle C, which is 180-90-40=50
angle Y=180-50=130
