here we are told that
number of dolls sold varies directly with advertising costs
number of dolls varies inversely with price of a doll
so initially
1800 dolls sold when advertising costs were $ 34 000
and price of a doll was $ 25
next they increased the advertising costs to $ 42 000
as we know number of dolls sold varies directly with advertising costs
so here when the advertising costs increase the number of dolls sold too should increases as its directly proportional relationship
we arent told that the price of a doll is changed so there's no effect on the number of dolls sold due to changes in price of a doll
only effect on number of dolls sold is due to increase in advertising costs
increase in advertising cost leads to increase in number of dolls sold
from the given options, only in one option the number of dolls sold are more than 1800 dolls. option is C with 2224 dolls
therefore correct answer is C. 2224 dolls
Answer:
g(f(x)) = 3.15x
Step-by-step explanation:
To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.
If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,
g(f(x)) = 90 (0.035x)
g(f(x)) = 3.15x
THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.
The critical value of r is mathematically given as r = +0.487, with no significant linear correlation. Option A.
<h3>What are the critical values of r?</h3>
Question Parameters
r = -0.868
n = 5
df = 5 - 2
df = 3
Critical values 
Generally, there exists no linear correlation between the Critical values
as r=0.878
In conclusion, Critical values: r = +0.487, no significant linear correlation
Read more about Critical values
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Using the Pythagorean Theorem, it is found that the unknown side length of the triangle is of 7.9 cm.
<h3>What is the Pythagorean Theorem?</h3>
The Pythagorean Theorem relates the length of the legs 
and 
of a right triangle with the length of the hypotenuse h, according to the following equation:
Researching this problem on the internet, we have that:
- The unknown side length is of a leg of x.
- The other leg is of 9 cm.
- The hypotenuse is of 12 cm.
Hence:
x² + 9² = 12²
x = sqrt(12² - 9²)
x = 7.9 cm.
The unknown side length of the triangle is of 7.9 cm.
More can be learned about the Pythagorean Theorem at brainly.com/question/654982
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1/8 = 0.125
23.125 x 17 gallons = 393.125
393.125 = 393 1/8 miles
