Answer:
use a calculator and you can find:
3. 3.9342208 x 10^(-6)
4. 162/3125
5. 1/60
47/12+23/6+7/2+5=47/12+46/12+42/12+60/12=195/12=16.25 gallons. The pool will be filled
Answer:
y = - 140
Step-by-step explanation:
The statement
y varies jointly as x & z is written as
<h3>y = kxz </h3>
to find y when x = 7 and z = -5 we must first find the relationship between the variables
when y = - 180
z = 15
x = - 3
- 180 = k(15)(-3)
-180 = - 45k
Divide both sides by - 45
k = 4
The formula for the variation is
<h2>y = 4xz</h2>
when
x = 7
z = -5
y = 4(7)(-5)
y = 4(-35)
<h3>y = - 140</h3>
Hope this helps you
The exponential model best represents the data is B. f(x) = 5(0.2)^x
<h3>How to determine the
exponential model?</h3>
From the table of values, we have the following points:
(x, y) = (0,5) and (1,1)
An exponential model is represented as:
y = ab^x
Substitute (x, y) = (0,5)
5 = ab^0
5 = a
This gives
a = 5
So, we have:
y = 5b^x
Substitute (x, y) = (1,1)
1 = 5b^1
This gives
5b = 1
Divide by 5
b = 0.2
Substitute b = 0.2 in y = 5b^x
y = 5(0.2)^x
Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x
Read more about exponential model at:
brainly.com/question/2456547
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When more offspring than can survive are produced, it is called overproduction. Variation among these offspring exists. The offspring with variations more suited to their environments will be more likely to survive.
