Answer:
36
Step-by-step explanation:
The answer is easy to find if we use the cross-multiplication method.
We know 7 students out of 10 picked apples, then 3 out of 10 picked bananas.
We know the number of people who picked apples.
We just have to isolate x, this way and solve the problem:
becomes
So, 36 students picked bananas as their favorite fruit.
Answer:
The value of c that satisfies the conclusion of the Mean Value Theorem applied to f on the interval [1,4] is approximately 0.1793.
Step-by-step explanation:
Given f(x) = 5cos²x² + ln(x + 1) - 3
The Mean Value Theorem applied to f on an interval [a, b] is given as
f'(x) = c = [f(b) - f(a)]/(b - a)
= [f(4) - f(1)]/(4 - 1)
c = [f(4) - f(1)]/3
f(4) = 5(cos4²)² + ln(5) - 3
= 3.2296
f(1) = 5(cos1²)² + ln(2) - 3
= 2.6916.
c = (3.2296 - 2.6916)/3
= 0.538/3
≈ 0.1793
Answer:
see explanation
Step-by-step explanation:
The diagonals of a rectangle are congruent, thus
MP = LN , substitute values
9x - 6 = 6x + 9 ( subtract 6x from both sides )
3x - 6 = 9 ( add 6 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Thus
MP = 9(5) - 6 = 45 - 6 = 39 and LN = 6(5) + 9 = 30 + 9 = 39
I have mercy:
8x and 9x+5 (the angles) form a right angle so 8x+9x+5=90 which means x is 5 and plugging it back into the angles 8x we get 40 sinceBHR and angle 8x are vertical angles they are equal to each other and so it's equal to 40
