A veterinarian is changing the diets of two animals, Simba and Cuddles. Simba currently consumes 1,320 Calories per day. That number will increase by 140 Calories each day. Cuddles currently consumes 3,490 Calories a day. That number will decrease by 170 Calories each day. The patterns will continue until both animals are consuming same number of Calories each day. In how many days will that be? How many Calories will the animals be consuming each day then?

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: