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Alexxx [7]
3 years ago
8

I need help with all of this

Mathematics
1 answer:
lord [1]3 years ago
6 0
1. 286 ft
3. 289 ft

I don’t know the rest sry
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plumbing service charges $35 per hour plus a $25 travel charge for a service call. Good guys plumbing repair charges $40 per hou
Akimi4 [234]
5 hours
25+(35•5)
40(5)
6 0
3 years ago
Prove that the product of any two consecutive natural numbers is even.
Vitek1552 [10]

Answer with Step-by-step explanation:

Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'

Thus the product of the 2 numbers is given by

Product=n(n+1)\\\\

We know that the sum of 'n' consecutive natural numbers starting from 1 is

S_n=\frac{n(n+1)}{2}\\\\\therefore n(n+1)=2\times S_n............(i)

Thus from equation 'i' we can write

Product=2\times S_n

As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.

6 0
3 years ago
Which statements are true? Select all that apply. If a line segment is divided into smaller adjacent segments, the sum of the le
Licemer1 [7]

Answer:

yes

Step-by-step explanation: yes yes yes ye sy ey eys eys yes

4 0
2 years ago
ty rode his trail bike for 4.5 hours. his average speed was 12 miles per hour. how many miles did he ride?
Viefleur [7K]
Hey there!


Ty rode is bike 54 miles.

Work:
4.5 x 12


Hope this helps!
5 0
3 years ago
Read 2 more answers
If θ=0rad at t=0s, what is the blade's angular position at t=20s
babunello [35]
The attached figure represents the relation between ω (rpm) and t (seconds)
To find the blade's angular position in radians ⇒ ω will be converted from (rpm) to (rad/s)
              ω = 250 (rpm) = 250 * (2π/60) = (25/3)π    rad/s
              ω = 100 (rpm) = 100 * (2π/60) = (10/3)π    rad/s

and from the figure it is clear that the operation is at constant speed but with variable levels
            ⇒   ω = dθ/dt   ⇒   dθ = ω dt

            ∴    θ = ∫₀²⁰  ω dt  
 
while ω is not fixed from (t = 0) to (t =20)
the integral will divided to 3 integrals as follow;
       ω = 0                                          from t = 0  to t = 5
       ω = 250 (rpm) = (25/3)π            from t = 5   to t = 15
       ω = 100 (rpm) = (10/3)π            from t = 15 to t = 20

∴ θ = ∫₀⁵  (0) dt   + ∫₅¹⁵  (25/3)π dt + ∫₁₅²⁰  (10/3)π dt
     
the first integral = 0
the second integral = (25/3)π t = (25/3)π (15-5) = (250/3)π
the third integral = (10/3)π t = (25/3)π (20-15) = (50/3)π

∴ θ = 0 + (250/3)π + (50/3)π = 100 π

while the complete revolution = 2π
so instantaneously at t = 20
∴ θ = 100 π - 50 * 2 π = 0 rad

Which mean:
the blade will be at zero position making no of revolution = (100π)/(2π) = 50
















3 0
3 years ago
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