Answer:
x = 216
Step-by-step explanation:
2 + 5 = 32
Subtract 2 from both sides of the equation
i.e. 2 + 5 - 2 = 32 - 2
5 = 30
Take the cube of both sides of the equation
i.e. (5)³ = (30)³
(5)³()³ = (30)³
(5 × 5 × 5)()³ = (30 × 30 ×30)
125x = 27,000
Divide both sides of the equation by the coefficient of x(which is 125)
x = 216
<u>Check</u>
Substituting 216 for x in 2 + 5∛x = 32,
2 + 5 = 32 ( = 6)
2 + (5 × 6) = 32
2 + 30 = 32
∴ x = 216
Hope this helps :))
Answer:
Step-by-step explanation:
<u>Total frequencies:</u>
Median group is the containing the middle - 25th and 26th frequencies. This is the 11-15 interval.
<u>Estimated median formula:</u>
- Estimated Median = L + ((n/2) − B)/G* w, where
- L - lower class boundary of the group containing the median = 10.5
- n - total number of values = 50
- B - cumulative frequency of the groups before the median group = 6 + 15 = 21
- G - frequency of the median group = 20
- w - group width = 5
<u>Substitute values and work out the number:</u>
- Estimated Median = 10.5 + (50/2 - 21)/20*5 = 11.5
Step-by-step explanation:
We can simplify this to be (78+78)(84+16)
We calculate from here
(156)(100)
Bracket means multiplication so we multiply
=15,600
Option b is true to match the vector field f with the given plot f(x, y)=x, -y
<h3>What is meant by a function?</h3>
The earliest known attempts at the concept of functions can be traced back to the work of the Persian mathematicians Al-Biruni and Sharaf al-Din al-Tusi. Originally, functions were idealized dependencies of one variable on another. For example, planetary positions are functions of time. Historically, this concept was developed in calculus towards the end of his 17th century, and the functions studied were differentiable (i.e. they had a high degree of regularity) until his 19th century ).
Given,
f(x, y) = x, -y
gt; at x⇒∞, y⇒-∞ downwards
at x⇒∞, y⇒+∞ downwards
Therefore, option b is true to match the vector field f with the given plot
f(x, y)=x, -y
To know more about function, visit:
brainly.com/question/24428416
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The complete question is as follows:
Match the vector field f with the correct plot. f(x, y) = x, −y