MATHEMATICS HIGH SCHOOL

In a factory, an assembly line can manufacture 39 widgets per second. In another factory, 6 widgets are combined to make 1 whoozit. Approximately how many days must the widget assembly line run to produce 3,500,000 whoozits?A.4 days
B.6 days
C.374 days
D.9479 days

Answers

Answer 1
Answer: Given:
39 widgets per seconds
6 widgets to make 1 whoozit

3,500,000 whoozits * 6 widgets/whoozits = 21,000,000 widgets
21,000,000 widgets / 39 widgets/sec = 538,461.54 seconds

1 day = 24 hours
1 hour = 60 minutes
1 minutes = 60 seconds
1 hour = 3600 seconds

3,600 seconds * 24 hrs = 86,400 seconds 
538,461.54 seconds / 86,400 seconds per day = 6.23 days.

B. 6 days.

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What is 5/9 equivalent to

Answers

All fractions of form 5k/9k are equivalent to this one, where k is any nonzero integer. Examples: 10/18, 15/27, -5/-9... The decimal form is 0.(5).
5/9 could be equivalent to 10/18, 15/27 or the decimal 0.5(repeating)

Help me solve the problem

Answers

{(1, 3), (2, 4), (3, 5), (4, 6), (5, 7)}

y = x + 2
the answer is 2. y=1x+2.

(hope this helps)

What is the correct answer for 20 + 20 × 0 + 1 = ?

Answers

The correct answer for the expression 20 + 20 × 0 + 1 by applying the rule of PEMDAS is equal to 21.

To explain in detail, we follow the order of operations (also known as PEMDAS ) to solve this expression step by step:

Parentheses Exponents Multiplication and Division (from left to right)

Addition and Subtraction (from left to right)

Let's solve the expression step by step:

20 + 20 × 0 + 1

20 + (20 × 0) + 1 [There are no parentheses or brackets]

20 + (0) + 1 [Perform the multiplication first (20 × 0 = 0)]

20 + 0 + 1 [Perform the addition (20 + 0 = 20)]

20 + 1 [Perform the addition (20 + 1 = 21)]

Therefore , the value of the given expression is equal to 21.

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The rule is when you don't have parenthesis you need to multiply and divide first from left to right, so

20+ 20x0 +1= 20 + 0 + 1=21

What is the range and domain of the function : y= sqrt(x) -5 ... Can you please explain? Thanks btw the square root is only over the x

Answers

Domain of √(x) - 5 :  x ≥ 25 .

Range of   √x - 5 : y ≥ -5 .

Given,

f(x) = √x - 5

Here,

To find the domain,

√x - 5 ≥ 0

√x ≥ 5

Squaring both sides ,

x ≥ 25 .

Thus domain of √x - 5 is x ≥ 25 .

Range of √x - 5,

To define the range of the function the value of x can not be negative as it will make the function complex .

So,

Range will be ,

y ≥ -5 .

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okay so basically domain =input and range =output. you can never have a negative number underneath the square root sign because it will make the answer imaginary (i), unless you are on that concept. Therefore the range is any number greater than 0. -> all real numbers greater than or = 0

for the range if you input 0 as x you will get -5, so any number you input after 0 will be greater than -5. so range is all real numbers greater than or equal to -5. 

If x=-2f(x) = g(x),
is a solution to the equation
'which of these statements must be true?
The graphs of fand g intersect each other at
X = -2.
The graphs of f and g intersect each other at
X = 2.
-2.
The graphs of fand g intersect the x-axis at
-2.
The graphs of f and g intersect the y-axis at

Answers

Answer: I THINK it’s A

Step-by-step explanation:

Q:What is the indicated term of the arithmetic sequence? someone help!!!!
a14 for 200,196,192...
A:
a. 148
b. 252
c. 144
d. 239

Answers

a_1=200;\ a_2=196;\ a_3=192\n\nr=a_2-a_1\to r=126-200=-4\n\na_n=a_1+(n-1)r\n\na_n=200+(n-1)\cdot(-4)=200-4n+4=204-4n\n\na_(14)=204-4\cdot14=204-56=148\n\nAnswer:A
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