Answer:
Step-by-step explanation:
Given:
To find: value of 
Solution:
Cross-multiplying is a method in which the numerator of each (or one) side is multiplied by the denominator of the other side.
On cross-multiplication, the equation becomes 
Divides both sides by 8
Answer:
A. 3 < t < 9
Step-by-step explanation:
When the particle is moving to the right, the velocity is positive.
To find the velocity, take the derivative of s(t) with respect to t.
s(t) = -t³/3 + 13t²/2 − 30t
s'(t) = -t² + 13t − 30
Find when the velocity is 0.
0 = -t² + 13t − 30
0 = t² − 13t + 30
0 = (t − 3) (t − 10)
t = 3, 10
Check the sign of s'(t) in each interval.
0 < t < 3, s'(t) < 0
3 < t < 9, s'(t) > 0
The particle moves to the right when 3 < t < 9.
If Fabio drinks 2 quarts of water each day, he would drink 8 cups of water in accordance with direct proportion.
<h3>What is a proportion?</h3>
A proportion can be defined as an equation which is typically used to represent (indicate) the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.
Mathematically, a direct proportion can be represented by the following equation:
y = kx
Where:
- y and x are the variables.
- k represents the constant of proportionality.
By applying direct proportion, we have:
1 quarts = 4 cups
2 quarts = X cups
Cross-multiplying, we have:
X = 4 × 2
X = 8 cups.
In conclusion, the quantity of water which Fabio drinks each day is equal to 8 cups.
Read more on direct proportion here: brainly.com/question/1266676
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hi,
you have then : 2100 * 1.045 ^n = 47 200
1.045^n = 47200 /2100
1.045^n = 472/21
n = ln ( 472/21 ) / ln ( 1.045)
n ≈71 years
let's check : 2100 *1.045^70 = 45746,68 and 2100 *1.045^71 = 47805.28
Answer:
See the attached file.
Step-by-step explanation:
The given base function is
The transformed function has equation.
The -1 in front of the radical reflects f over the x-axis.
The 3 under the radical sign shifts the graph of f to the right by 3 units.
The 11 shifts the graph up by 11 units.
