MATHEMATICS HIGH SCHOOL

Which property justifies the following statement if a=b then a/d=b/d?

Answers

Answer 1
Answer: Division property of equality.

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The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)?(−6, −5)

(−2, −5)

(2, −5)

(6, −5)

Answers

Hello,

Answer C (2,-5)

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How do i find the Perimeter of a [__] only having the A=25m2 and W=2.5 m

Answers


-- You know the area of a rectangle, and you know its width.

Let's pause here, and gather up a few tools to do the job with.
The tools you'll need are the things that you know about rectangles.
Definitions of the area and perimeter of a rectangle would be very helpful.

=> Area of a rectangle  =  (length) x (width)

=> Perimeter of a rectangle  =
                                           (length+width + length+width) = 2 (length+width)

You know all the numbers in both of these formulas, except the length.
Can you think of a way to find it, using the numbers that you do know ?

Take the area formula . . . . .  Area  =  (L) times (W)

Put in the numbers you know:    25 m² = (L) x (2.5 m)

Divide each side by  2.5 m :        (25 m²) / (2.5 m) = L

                                                                 10 m  =  L

Now you know both  'L'  and  'W'.
so ...
Time to go directly to the perimeter formula:         

                                              Perimeter = 2 (L + W)

                                                                = 2 (10m + 2.5m)

                                                                = 2 (12.5 m)

                                                                =  25 m

80% of the doctors surveyed believed exercising 30 minutes a day can help you live a healthier life. If 240 doctors believe in exercising, how many doctors were surveyed?

Answers

Answer:

Step-by-step explanation:

The question you should be asking yourself is, "80% of how many doctors is 240?"  Algebraically, 80% is .8, "of" is multiplying, "how many doctors" is our unknown, and "is" means equals.  Putting that all together:

.8x = 240 so

x = 300

Mr. Li records the measures of the lengths of his students’ handprints. The lengths, in centimeters, are shown in the table.14.0 , 11.5 , 12.1 , 16.2 , 13.5 , 14.3 , 16.8
12.4 , 13.7 , 12.0 , 14.7 , 15.2 , 11.9 , 15.6
13.8 , 14.2 , 12.5 , 15.0 , 16.0 , 13.1 , 11.7

If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?

1) 3
2) 4
3) 7
4) 8

Answers

The correct answer is:

4) 8

Explanation:

We want to find the frequency of this range. To do this, we count how many values fall between 12.0 and 13.9. There are 8 total values that do this, so the answer is 8.

In the given data set, there are 7 values in the given range.

How many students are in the range 12 cm to 13.9 cm?

Here we just need to find the number of values between 12cm and 13.9 cm, from the given table, these are:

12.1 cm, 13.5 cm, 12.4 cm, 13.7 cm, 13.8 cm, 12.5 cm, 13.1 cm

So there are 7 values in the given range, which means that 7 students are in the range of 12cm and 13.9cm.

Then the correct option is the third one.

If you want to learn more about data sets:

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The structure most responsible for maintaining cell homeostasis in any given cell is the

Answers

Answer: the plasma membrane

Step-by-step explanation: It controls what enters and exits the cell based on what the cell requires to function and live. It functions as a boundary separating the external environment from the internal environment.

Final answer:

The main structure responsible for maintaining cell homeostasis is the cell membrane, which is selectively permeable, thus regulating molecules' movement across the membrane. The cytoplasm and nucleus also contribute to maintaining homeostasis.

Explanation:

The structure most responsible for maintaining cell homeostasis in any given cell is mainly the cell membrane. The cell membrane plays a key role in managing homeostasis through becoming selectively permeable. This means the cell membrane allows certain molecules to pass through via the constant movement of molecules across it, yet it restricts others. This selective process helps in maintaining the internal balance of the cell, ensuring that the essential molecules necessary for cellular processes are kept inside, and unnecessary or harmful molecules are kept out.

Besides the cell membrane, the cytoplasm and the nucleus also play parts in cellular homeostasis. The cytoplasm houses organelles and chemicals necessary for various metabolic reactions and protein syntheses. The nucleus, acting as the control center of the cell, holds the genetic material that dictates the cell's function and structure.

Learn more about Algebra here:

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Solve 8x - 5y = 14 for y.

Answers

9 is y is the answer

Answer:

y=-14x/5+8x/5

Step-by-step explanation:
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