Step-by-step explanation:
4/5 + 2/3 = 2215 = 1 715 ≅ 1.4666667. Spelled result in words is twenty-two fifteenths (or one and seven fifteenths).
The rule for quotients of similar bases with different exponents is:
(a^c)/(a^b)=a^(c-b) in this case:
15^18/(15^3)=15^15
For this case we have the following variables:
x: the number of minutes of television Sam watched each day
y: the number of minutes she spent exercising
Then, we have the following function that models the problem:

if she spends 30 minutes watching television we have x = 30.
Substituting in the given equation we have:

Answer:
the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day is:
72 minutes
Answer:
y = 4/3x - 10
Step-by-step explanation:
Slope: 4/3
y-intercept: -2 - (4/3)(6) = -2 - 8 = -10
The equation to model the situation is
. The constant for the variation is 2250.
<h3>What is the intensity of light?</h3>
The intensity of light from a lantern varies inversely to the square of the distance from the lantern.
From the given information:
- Let y be the intensity of light, and
- x be the distance from the lantern
Then:

here, k = constant.
2.
If y = 90 W/m² when the distance x = 5m
Then:

k = 90 × 25
k = 2250
c.
The equation to model the situation by using the constant variation is:

d.
If the light intensity y = 40, then x is determined as:


x = 7.5 m
e.
The light is needed in (225 × 1000)m = 225000 km of illumination.
f.
The lantern required for the new light estimation is:
y = 2250/225000
y = 0.01 intensity
Therefore, we can conclude that to get an intensity of 1 W/m², we need to put 100 lanterns.
Learn more about intensity of light here:
brainly.com/question/19791748
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