Please leave explanation thank you also brainliest

x=-2

Step-by-step explanation:

1. Convert base

(1/64) to (4^-3)

2.Apply exponent rule

4^-3(2x+10)

3. 4x-10=-3(2x+10)

4.Expand

4x-10=-6x-30

4x-10+10=-6x-30+10 (add 10 to both sides)

4x=-6x-20 (simplify)

4x+6x=-6x-20+6x (add 6 to both sides)

5. 10x=-20 (divide both side by 10)

6. Then you get x= -2.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm