Answer:
Step-by-step explanation:
Given:
for x≤1400; N = 5
So, Δx = 
=∑C(a + nΔx).Δx
=C(0)Δx + C(280)Δx + C(560)Δx + C(840)Δx + C(1120)Δx
= Δx[C(0) + C(280) + C(560) + C(840) + C(1120)]
= 280[49 + 42.616 + 34.664 + 25.144 + 14.056]
=280[165.48]
=46334 approx
Answer:
if you Simplify the expression it is 112x
(or 120-8x if 30x 24 is multiplication)
Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have 
.
Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.
So we have 
which is 3² = 9 written in logarithmic form.
This can also be switched around to read 
.
So the first choice will be your answer.
My work is also show in the image attached,
I just didn't switch it.
I think we need a coordinate grid for that,,
Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
