Answer:
z= 5/14
Step-by-step explanation:
Let's solve your equation step-by-step.
5−2(3z+2)=−4(1−2z)
Step 1: Simplify both sides of the equation.
5−2(3z+2)=−4(1−2z)
5+(−2)(3z)+(−2)(2)=(−4)(1)+(−4)(−2z)(Distribute)
5+−6z+−4=−4+8z
(−6z)+(5+−4)=8z−4(Combine Like Terms)
−6z+1=8z−4
−6z+1=8z−4
Step 2: Subtract 8z from both sides.
−6z+1−8z=8z−4−8z
−14z+1=−4
Step 3: Subtract 1 from both sides.
−14z+1−1=−4−1
−14z=−5
Step 4: Divide both sides by -14.
−14z/ = -5
−14 -14
=5/14
z= 5/14
Answer:
220,781.25 cubic cm
Step-by-step explanation:
Given ratio of the diameters = 15:11
Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11
Given that smaller one has diameter of 55cm
thus 11x = 55cm
x = 55/11 cm = 5
Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.
we know that radius is half of diameter
Radius = diameter/2
Thus radius of larger ball = 75/2 cm = 37.5 cm.
Volume of sphere is given by 
we know that ball has spherical shape
thus volume of larger ball is calculated as given below

Thus, volume of larger ball is 220,781.25 cubic cm
Answer:
The correct option D.
Step-by-step explanation:
The given function is

Where f(d) is the height of the ball at horizontal distance d.
Put f(d)=0, to find the distance where the ball touch the ground.

Quadratic formula:

Using the quadratic formula we get


Therefore the ball is in air between d=-0.146 to d=9.146.
The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

Therefore the correct option is D.
Take the radius squared 10*10=100 then times that by pi which equals 314 then by 16 which is 5,024 then multiply that by 75 and get 376,800
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees