Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it

never [62]

3(x - 5) = 8x - 30

Distribute 3 into the parenthesis:
3x - 15 = 8x - 30

Add 15 to both sides:

3x = 8x - 15

Subtract 8x to both sides:

-5x = -15

Divide -5 to both sides:

x = 3

7 0

3 years ago

Read 2 more answers

The population of the world was about 5.3 billion in 1990. Birth rates in the 1990s range from 35 to 40 million per year and dea

frosja888 [35]

Answer:

24.1 billion

Step-by-step explanation:

One way to write the logistic function is ...

P(t) = AB/(A +(B-A)e^(-kt))

where A is initial value (P(0)), and B is the carrying capacity (P(∞)). We are told to use relative population growth in the 1990s as the value for k.

In billions, we have ...

A = 5.3

B = 100

k = 0.02/5.3 ≈ 0.003774 . . . . . relative growth rate at 20 M per year

t = 2450 -1990 = 460

$P(t)=\dfrac{530}{5.3+94.7e^{-0.003774t}}\\\\P(460)=\dfrac{530}{5.3+94.7e^{-1.73604}}\approx \boxed{24.1\quad\text{billion}}$

8 0

3 years ago

Solve for N. -N/5 = -5

VikaD [51]

Answer:

5

Step-by-step explanation:

6 0

3 years ago

In around of golf, the lowest score wins. At the end of a round you have score -3 and your friend has score -4. Who won the roun

scoray [572]

Answer: The friend won the round.

Step-by-step explanation:

We want to find the lowest score.

The lowest score means the smallest value.

With intergers, as the number gets farther away from zero to the left, the smaller the value is. The middle number is zero on a number line. The numbers to the left of zero are negative. The number to the write of zero are positive.

As you move to the left on the number line, the numbers get smaller. As you move to the right on a number line, the values get bigger

Since -4 is farther away from zero to the left on a number line than -3, -4 is smaller.

Hence -4 is smaller than -3. -4 is one more to the left than -3 so -4 is smaller than -3.

Hence the friend won the round.

3 0

3 years ago

indictate which of the following are propositions.For the ones which are propositions, determine the truth value.(a) The integer

Semmy [17]

Answer:

Step-by-step explanation:

When we propose an hypothesis, it is either true or false. The same goes for a proposition.

The required objective here is to determine the truth value in the following proposition.

(a) The integer 24 is prime.

(b) Is the integer 315 even?

(c) The sum of 3 and 4 is 12.

(d) -4 ∈ Ζ

From the first option:

(a) The integer 24 is prime.

The sentence is a proposition but the truth value is FALSE because a prime number is a number that can only be divide by 1 and itself but in the case of 24, Its factors include 1,2,3,4,6,8,12 and 24 which make 24 to falsify the proposition of being a prime number.

(b) Is the integer 315 even?

This option is not a proposition but rather a question since it has a question mark, however, 315 is an odd number since it is not divisible by 2.

( c) The sum of 3 and 4 is 12.

This is a proposition and the truth value is FALSE

The sum of 3+4 = 7 ; Hence; 7 ≠ 12

(d) -4 ∈ Ζ

This is a proposition and the truth value is TRUE.

-4 ∈ Ζ is read as ( minus four is an integer (∈) of Z )

Yes, this is a proposition and its Truth value is TRUE , since minus four is an integer (∈) of Z

6 0

3 years ago