Answer:
She needs 0,75 ft of wire
Step-by-step explanation:
Hello
She needs (0.30 ft)*(2.5) = 0,75
Best regards
Answer:
(A) 165
(B) 330
Step-by-step explanation:
Total number of students in the class = 11
(A) How many different combinations of 3 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 3
11! / [8! 3!] = 165
<em>HINT: 8! or 8 factorial represents [8x7x6x5x4x3x2x1]</em>
(B) How many different combinations of 4 selected students can he create?
ⁿCₓ = n! ÷ [(n - x)! x!]
n = 11, x = 4
11! / [7! 4!] = 330
<em>Same hint applies here, for all numbers with the factorial sign.</em>
Answer:
uADHTiszA?kv
Step-by-step explanation:
A)
y=2^x
4^x=2^(2x)=y²
solution:
y=2^x hence y²=4^x
chek:
x=5 ⇒ y=2⁵=32
4⁵=1024
y₂=32²=1024
b)
8(4^x)-9(2^x)+1=0
8(2^(2x)-9(2^x)+1=0
2^x=t
8t²-9t+1=0
We solve the quadratic.
t₁=1/8 ⇒2^x=1/8
2^x=1/2³
2^x=2⁻³
x=-3
t₂=1 ⇒ 2^x=1 ⇒x=0
Solutions:
x=-3
x=0
Answer:
896
Step-by-step explanation:
14 of 20 teens eats breakfast every morning.
The percentage of those who eat breakfast every morning
= 14/20 x 100%
= 0.7 x 100%
= 70%
So, 70% of 20 teens eat breakfast every morning.
The reasonable prediction for the number of teens that eats breakfast every morning from 1280 teens will be 70% of 1280.
70/100 x 1280
0.7 x 1280
896
The prediction would be 896 out of 1280 teens eats breakfast every morning
