Answer:
Step-by-step explanation:
We want a line parallel to 3x − 4y = 7. Any such line will have an equation of the same form but a different constant.
If the new line is to pass through the point (-4, -2), replace x with -4 and y with -2. We obtain:
3(-4) − 4(-2) = -12 + 8 = -4. Thus, the desired new equation is 3x − 4y = -4.
This could also be written as 3x − 4y + 4 = 0. We could also solve this for y, obtaining:
3x + 4 = 4y, or y = (3/4)x + 1.
Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78
The answer is $62.00
Explanation: If you take $48.50 times 6 you get $291 now subtract $291 from $663 you will have an answer of $372 that is how much the total of tables came to now divide 372 by 6 for the number of tables and you will be left with 62
Answer:
10.12 
Step-by-step explanation:
Given:
- 0.07 cm thick = 0.007m and it is dr (the change in radius)
As we know that, the volume of a hemispherical dome with diameter 48 m is:
- V =
π
Take the derivative of V we have:
= 2π
<=> dV = 2π*dr
<=> dV = 2π*
*0.0007 = 10.12
Hope it will find you well.
Answer:
Step-by-step explanation:
The equation of a line can be easily found from the graph. First, find two points on the line that intersect points on the graph, then plot the changes in the two axis in this manner (change in y)/(change in x), or rise/run. Thus, the slope of this line is 5/3. Then, the b in y = mx + b is simply when the line intersects the y-axis, in this case -5. Thus, the equation of the line is
y = -5/3x - 5
Hope it helps <3
(If it does please mark brainliest ._. :) )
