Answer:
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Step-by-step explanation:
Linear growth:
The number by which it increases is constant.
Exponential growth:
The rate which it increases is constant, that is, a proportion of population.
Annual increase of 1,000.
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Answer: 54-7n
Step-by-step explanation:
When we talk about mathematical language, the <u>difference </u>between two numbers, quantities or terms is the <u>substraction operation.</u>
For example, the <u>difference</u> between a and b is:
a-b
On the other hand, if we read a numer c <u>times</u> a number n, this means both numbers are multiplied.
For example:
c <u>times</u> n is:
(c)(n)
So, according to the explained above, “the difference of fifty-four and seven times a number n” is:
54-7n
Answer:
157
Step-by-step explanation:
The circumference of a circle with diameter d is given by ...
C = πd
The circumference of a 50 meter circle will be ...
C = π(50 m) ≈ 157.08 m
It will take about 157 meters of edging to outline the smaller garden.
Answer:
He made approximately 32 free throws.
Step-by-step explanation:
Assuming that there's a typo in the question and that he made 57% of his attempted free throws, then we can solve it as shown below:
We can apply a rule of three in order to calculate the number of free throws he made. This is done as follows:
56 free throws -> 100%
x free throws -> 57%
56/x = 100/57
100*x = 57*56
x = 57*56/100 = 31.92
It can also be solved by transforming the percentage in a fraction such as 57% = 57/100 and then multiplying it by the total attempts.
free throws made = 56*57/100 = 31.92
He made approximately 32 free throws.
We need only subtract 3 units from <span>g(x)=x^2+2 to obtain the function h(x).
The correct result is h(x)=</span><span>x^2+2 -1.</span>