Which shows a difference of squares?10y2 – 4x2
16y2 – x2
8x2 – 40x + 25
64x2 – 48x + 9

Answers

Answer 1
Answer: The second choice 16y2 - x2 shows a difference of squares.
factoring the second choice results to (4y-x)(4y+x) which results to the difference between 4y and x. 

the first choice also shows a difference in the square however sqrt10 is not a perfect radical. 

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A hypothesis must be testable and falsifiable to be scientifically valid. Being testable and falsifiable means that __________.

Answers

Final answer:

A scientifically valid hypothesis must be testable and falsifiable. Testable means that it can be evaluated through observations or experimentation. Falsifiable means that it's possible to design an experiment whose results would prove the hypothesis to be incorrect.

Explanation:

Within the scientific community, a hypothesis is considered to be scientifically valid only if it is testable and falsifiable. When we say a hypothesis is testable, it means that it can be evaluated through observations or experimentation, using the scientific method. An example of this could be the hypothesis 'If I water my plants more, they will grow faster.' This hypothesis is testable because we can carry out an experiment to confirm or refute it.

On the other hand, a hypothesis is said to be falsifiable if it is possible to design an experiment whose outcome could prove the hypothesis to be incorrect. For example, the hypothesis 'All swans are white' is falsifiable because finding just a single swan of a different color would falsify the hypothesis. However, it's important to note that falsifiable doesn't mean the hypothesis is incorrect, rather it means that it's possible to prove it's incorrect through testing.

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Final answer:

A hypothesis must be testable and falsifiable in order to be considered scientifically valid. This means that it can be tested through experimentation or observation, and can be proven false if the experimental results contradict it.

Explanation:

A hypothesis must be testable and falsifiable to be scientifically valid. Being testable and falsifiable means that it can be tested through experimentation or observation and can be proven false if the experimental results contradict it. Testability and falsifiability are key requirements in scientific research as they allow for the advancement of knowledge and the development of more accurate explanations of natural phenomena.

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What is the correct length and width for the rectangle?

Answers

Answer:

Length = 14

Width = 7

Step-by-step explanation:

Length of a rectangle is twice its width.

let, the width be x, so the length becomes 2x

now the perimeter is 42, and we know the formula to find the perimeter is 2(length+width)

so, 2(2x+x)=42

or, 2×3x=42

or, 6x=42

or, x=7

so the width is 7 and the length is, 2×7 = 14

Answered by GAUTHMATH

A wholesale food sales rep is paid a base salary of $1200 per month plus a 38% commission on sales. How many sales must she generate in order to earn $35,000 per year in total compensation?

Answers

Answer:

Step-by-step explanation:

salary per year=1200×12=14400

let the sale be $ x

14400+38 % of x=35,000

38 % of x=35,000-14,400=20,600

x=20,600 \times \frac{100}{38}=$ 54210.53

Final answer:

To earn $35,000 per year, the sales rep must generate approximately 54,210 sales.

Explanation:

To find out how many sales the wholesale food sales rep must generate in order to earn $35,000 per year in total compensation, we need to set up an equation based on the given information. Let's assume the sales generated by the rep are 'x'. The total compensation can be calculated as:



Total Compensation = Base Salary + Commission

$35,000 = $1200/month + 0.38x



Now, we can solve this equation to find 'x', the number of sales needed. First, let's convert the monthly base salary to yearly:



$1200/month * 12 months = $14,400/year



Substituting this value into the equation:



$35,000 = $14,400 + 0.38x



Now, we can isolate 'x' by subtracting $14,400 from both sides of the equation:



$20,600 = 0.38x



Finally, divide both sides of the equation by 0.38:



x = $20,600 / 0.38 = 54,210



Therefore, the wholesale food sales rep must generate approximately 54,210 sales in order to earn $35,000 per year in total compensation.

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Factor completely 9r^3-72r^2

Answers

Answer:

9r²(r - 8)

Step-by-step explanation:

Step 1: Write expression

9r³ - 72r²

Step 2: Factor out 9

9(r³ - 8r²)

Step 3: Factor out r²

9r²(r - 8)

A line passes through the points (-1, 10) and (3, 2). Which shows the graph of this line?8
8
4
2
- 108
2
46
8 10
X
12
-8
-10
10
6

Answers

Answer:

C

Step-by-step explanation:

EDGE 2021

Which is bigger, 40% of 180 or ¼ of 320?

Answers

'of' in mathematics means multiplication.


40% of 180 means 40/100 * 180

40/100 * 180
= 0.40 * 180
= 72

1/4 of 320 means 1/4 * 320

1/4 * 320
= 320/4
= 80

40% of 180 is 72
1/4 of 320 is 80

1/4 of 320 is bigger than 40% of 180

You could also say that as:

1/4 of 320 is greater than 40% of 180.