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VLD [36.1K]
2 years ago
14

- 12 ÷ (-4) How do I solve this? ​

Mathematics
2 answers:
jonny [76]2 years ago
3 0
Two negatives make a positive so that is going to produce a positive number so -12÷-4 you just do normal division like always and it equals a great positive 3

murzikaleks [220]2 years ago
3 0

Step-by-step explanation:

We're going to be diving -12 by -4.

<u>What do we need to know?</u>

Integer Rule - when 2 negative numbers multiply or divide, the product/quotient is positive.

<u>Solve using the integer rule:</u>

<u />-12 \div -4 =3 is the same as 12 \div 4 = 3

3 is your quotient.

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1. If a bicycle wheel has a diameter of 15 in. How far will the wheel rotate in 10 rotations?​
WARRIOR [948]

Answer:

150 pi inches or 471.239 inches traveled

Step-by-step explanation:

First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.

You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel

The formula for circumference is 2(pi)(r) or (pi)(diameter)

We are given diameter, so let's find distance traveled for one rotation

pi(15 inches) = 15pi inches per rotation.

There are 10 rotations, so:

(15pi inches/rotation)(10 rotations) = 150pi inches travelled

150 x pi = 471.239 inches traveled

4 0
3 years ago
Given the function () = $
elena-s [515]

The inverse of the function f(x) = 1/3x^2 - 3x + 5 is  f-1(x) = 9/2 + √[3(x + 7/4)], the sum of the arithmetic series is 1078 and the common ratio of the sequence is 2

<h3>The inverse of the function?</h3>

The function is given as:

f(x) = 1/3x^2 - 3x + 5

Next, we rewrite the function as in vertex form

Using a graphing calculator, the vertex form of the function f(x) = 1/3x^2 - 3x + 5 is

f(x) = 1/3(x - 9/2)^2 - 7/4

Express f(x) as y

y = 1/3(x - 9/2)^2 - 7/4


Swap x and y

x = 1/3(y - 9/2)^2 - 7/4

Add 7/4 to both sides

1/3(y - 9/2)^2 = x + 7/4

Multiply through  by 3

(y - 9/2)^2 = 3(x + 7/4)

Take the square root of both sides

y - 9/2 = √[3(x + 7/4)]

Add 9/2 to both sides

y = 9/2 + √[3(x + 7/4)]

Rewrite as an inverse function

f-1(x) = 9/2 + √[3(x + 7/4)]

<h3>Sum of arithmetic series</h3>

Here, we have:

5 + 18 + 31 + 44 + ... 161

Calculate the number of terms using:

L = a + (n -1)d

So, we have:

161 = 5 + (n - 1) * 13

This gives

(n - 1) * 13 = 156

Divide by 13

n - 1 = 12

Add 1

n = 13

The sum is then calculated as:

Sn = n/2 * [a + L]

This gives

Sn =13/2 * (5 + 161)

Evaluate

Sn = 1078

Hence, the sum of the arithmetic series is 1078

<h3>The common ratio of the sequence</h3>

Here, we have:

T11  = 32 * T6

The nth term of a geometric sequence is

Tn = ar^(n-1)

This gives

ar^10 = 32 * ar^5

Divide by ar^5

r^5 = 32

Take the fifth root

r = 2

Hence, the common ratio of the sequence is 2


Read more about sequence at:

brainly.com/question/7882626

#SPJ1

6 0
2 years ago
If 60% of a number is 8, find 30% of that number.
podryga [215]
60/100 = 8/x

Multiply both sides by 100

60 = 800/x

Multiply both sides by x

60x = 800

Divide both sides by 60

x = 13.3333333333333

0.3 • x = answer

Answer = 4
6 0
2 years ago
Kyle Lowry earned $31.2 million in US dollars playing for the Toronto Raptors during the 2018–2019 season. How much was he earni
liraira [26]

Answer:

I think C or D not sure about the question answer

6 0
2 years ago
Find the upper quartile of this data set: 593, 588, 540, 434, 420, 398, 390, 375
ratelena [41]
The answer is D. 564
When you put all the numbers in order from least to greatest and find the median which is between 420 and 434, you can then find your upper quartile which would be between 540 and 588 making it D
4 0
3 years ago
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