Answer:
x=50
Step-by-step explanation:
x in (-oo:+oo)
(2/5)*x+10 = 30 // - 30
(2/5)*x-30+10 = 0
2/5*x-20 = 0 // + 20
2/5*x = 20 // : 2/5
x = 20/2/5
x = 50
x = 50
9514 1404 393
Answer:
- shortest: 11 1/8 in
- longest: 11 3/8 in
Step-by-step explanation:
It should be no surprise that the shortest allowable length is the nominal length less the full allowed tolerance:
11 1/4 - 1/8 = 11 1/8 . . . inches
__
Likewise, the longest allowable length is the nominal length plus the maximum tolerance:
11 1/4 + 1/8 = 11 3/8 . . . inches
_____
Of course, you know that 1/4 = 2/8, so adding or subtracting 1/8 gives the fractions shown above.
Answer:
Both are correct.
Step-by-step explanation:
The key understanding here is that you can factor a monomial in many different ways!
To check if any of the factorizations is correct, we can multiply the factors and see if their product is really 12x^712x
7
12, x, start superscript, 7, end superscript.
Hint #22 / 4
\begin{aligned} (\blueD{4}\maroonD{x^3})(\blueD{3}\maroonD{x^4})&=(\blueD{4})(\blueD{3})(\maroonD{x^3})(\maroonD{x^4}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(4x
3
)(3x
4
)
=(4)(3)(x
3
)(x
4
)
=12x
7
So Ibuki is correct!
Hint #33 / 4
\begin{aligned} (\blueD{2}\maroonD{x^6})(\blueD{6}\maroonD{x})&=(\blueD{2})(\blueD{6})(\maroonD{x^6})(\maroonD{x}) \\\\ &=\blueD{12}\maroonD{x^7} \end{aligned}
(2x
6
)(6x)
=(2)(6)(x
6
)(x)
=12x
7
So Melodie is also correct!
Both Ibuki and Melodie are correct.
Answer:
the required equation is; y = 21 sin(πt/6)
Step-by-step explanation:
Given the data in the question;
Water rises above sea level = 21 ft
Water drops below sea level = 21 ft
so
maximum = 21 ft and also
minimum = 21 ft
Amplitude = ( maximum + minimum ) / 2
Amplitude = ( 21 + 21 ) / 2
Amplitude = ( 21 + 21 ) / 2 = 42/2 = 21 ft
Period = 12 hours
and we know that; period = 2π/b
so
12 = 2π/b
12b = 2π
b = 2π / 12
b = π/6
Standard equation for simple harmonic is; y = asin(bt)
we substitute
y = 21 sin(πt/6)
Hence the required equation is; y = 21 sin(πt/6)
Answer:
Step-by-step explanation:
we know that
Using proportion
