1: convection
2: insulator
3: no heat (because all are same temp...pretty sure)
4: weight and electric potential energy
5: kinetic to potential
6: (I think) nuclear to kinetic to chemical
7: increase tread
8: temp is a factor of thermal energy
Answer:
The answer is
<h2>1225</h2>
Step-by-step explanation:
4x² + 5 - 6x³ + 3x⁴ - x
x = - 4
Substitute the value of x into the expression
That's
4(-4)² + 5 - 6(-4)³ + 3( 4 )⁴ - - 4
Simplify
4(16) + 5 - 6( -64) + 3( 256) + 4
64 + 5 + 384 + 768 + 4
We have the final answer as
<h3>1225</h3>
Hope this helps you
Answer: there are 580 seats
Step-by-step explanation:
The number of seats in each row is increasing in arithmetic progression.
The formula for determining the sum of n terms of an arithmetic sequence is expressed as
Sn = n/2[(2a + (n - 1)d]
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 10 seats
d = 2 seats (the seats in each row are increasing by 2)
n = 20(number of rows)
We want to determine the number of seats in 20 rows. Therefore
S20 = 20/2[(2×10 + (20 - 1)2]
S20 = 10(20 + 38) = 10×58
S = 580
Answer:
Slope: ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
y-intercept: 0
Step-by-step explanation:
First, find the slope. Use two points given to you. In this case, I will use the following:
(x₁ , y₁) = (2 , 5)
(x₂ , y₂) = (4 , 10)
Use the following equation:
slope (m) = ![\frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Plug in the corresponding numbers to the corresponding variables:
slope (m) =
= ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
Note the slope intercept form:
y = mx + b
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
Plug in the slope into m for the equation:
![y = \frac{5}{2} x + b](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20x%20%2B%20b)
Choose a point to use to find b. In this case, I will use (2 , 5). Plug in 2 for x, and 5 for y:
![5 = \frac{5}{2}(2) + b](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%7B5%7D%7B2%7D%282%29%20%2B%20b)
Simplify. Isolate the variable, b. Note the equal sign, what you do to one side, you do to the other:
![5 = \frac{5}{2}(2) + b\\5 = 5 + b\\5 (-5) = 5 (-5) + b\\b = 5 - 5\\b = 0](https://tex.z-dn.net/?f=5%20%3D%20%5Cfrac%7B5%7D%7B2%7D%282%29%20%2B%20b%5C%5C5%20%3D%205%20%2B%20b%5C%5C5%20%28-5%29%20%3D%205%20%28-5%29%20%2B%20b%5C%5Cb%20%3D%205%20-%205%5C%5Cb%20%3D%200)
Y-intercept: 0
Answer:
$6,750
Step-by-step explanation:
5% × $135,000 = 5/100 × 135,000
= $6,750