Answer:
165 Calories
Step-by-step explanation:
A gram of carbohydrate contains 4 calories. A gram of protein also contains 4 calories. A gram of fat, though, contains 9 calories
5x9=45 10x4=40 20x4=80 45+40+80= 165
The exponential functions change is represented by decay and the percentage rate of decrease is 1.00619%.
Step-by-step explanation:
Step 1:
To determine if the function represents growth or decay, we substitute values to x.
If the values increase with an increase of x, it represents growth.
If the values decrease with an increase of x, it represents decay.
Step 2:
If

If 

So as x increases the value of y decreases, so it represents decay.
Step 3:
The percentage rate of change is determined by dividing the difference of two consecutive values by the first value.
The percentage rate of change 
Substituting the values, we get
The percentage rate of change
.
As the values of y decrease with an increase in x, it is the percent decrease per unit.
L = rate of the large hose
S = rate of the small hose
we know the sum of their rates deliver the swimming pool filled up in 35 minutes, thus L + S = 35.
now, the large hose can do it in 60 minutes, that means that in 1 minute, the large hose has only done 1/60 th of the work.
the small hose can do the whole thing in S minutes, that means in 1 minute it has only done 1/S th of the whole work.
and since both of them working together can do it in 35 minutes, then in 1 minute they both have done 1/35 th of the whole job.

Since PQ bisects CX at point J, JX=CJ
4y=y+9
-y -y
3y=9
divide by 3
y=3
Answer:
Option D is correct.
volume of given sphere is
cubic cm
Step-by-step explanation:
Volume of a sphere is given by:

where
V is the volume of sphere
r is the radius of the sphere.
As per the given statement:
From the figure of sphere:
r = 3 cm
then;

or

Therefore, the volume of given sphere is
cubic cm