Answer:
D. 13.267 m
Step-by-step explanation:
We can use the Pythagorean theorem to solve this problem
a^2 + b^2 = c^2
where a and b are the legs and c is the hypotenuse
7^2 + b^2 = 15^2
49 + b^2 = 225
Subtract 49 from each side
b^2 = 225-49
b^2 =176
Take the square root of each side
sqrt(b^2) = sqrt(176)
b = sqrt(176)
b = 13.266
<span>The critical value will be established. This is the point at which the researcher can reject the null hypothesis because the value falls outside the bounds at which the result was due to random chance. Values inside this bound show that the result cannot be determined to be due to the variables, so they cannot be used to reject the null hypothesis.</span>
Answer:
2 real solutions
Step-by-step explanation:
Remember this messy thing?

The <em>quadratic formula</em>, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the <em>type</em> of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the <em>discriminant</em>. If it's non-negative, we'll have <em>real</em> roots, if it's negative, we'll have <em>complex roots</em>.
For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.
Answer:
The manufacturer tests every 100 car in the assembly line
Answer: B 
Step-by-step explanation:
From the given table
When x changes from 1 to 2 , value of y changes from 6 to 4
The multiplicative rate of change=
Similarly we can check
When x changes from 2 to 3 , value of y changes from 4 to 
The multiplicative rate of change=
When x changes from 3 to 4 , value of y changes from
to 
The multiplicative rate of change=
Therefore, the multiplicative rate of exponential function = 