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alexira
21 day ago
8

How can you tell that 7.630 and 7.63 are equivalent decimals?

Mathematics
2 answers:
Leona [9.2K]21 day ago
8 0
An equivalent decimal represents the same quantity as another decimal; here, the 0 does not contribute any value.
Svet_ta [9.4K]21 day ago
4 0

Response:

Two numbers are deemed equivalent if, after any possible modification, they yield the same numerical value.

In this instance, 1.---7.630 and 2.-- 7.63, removing the 0 from 7.630 results in 7.63, which does not alter the value of either number. Moreover,

1.\rightarrow7.630=\frac{7630}{1000}\\\\=\frac{763}{100}\\\\=7.63\\\\=\text{Number 2}

Consequently, we can conclude that these two values are equivalent.

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do you agree that the equation (x-4)²=9 can be solved both by factoring and extracting square roots? ​
Zina [9157]

Given parameters:

  Equation:

          (x-4)²=9

Problem: Solve the equation by both factoring and extracting the square root.

Solution:

    Starting equation:

                  (x-4)²=9

         Subtracting 9 from both sides brings us to zero;

                (x-4)² - 9 = 0

                (x -4)² - 3² = 0

  This fits the concept of the difference of squares;

          x² - y² = (x + y)(x-y)

                     

Let x  = x-4 and y = -3

  Then input and solve;

              (x - 4 -3)(x - 4 -(-3)) = 0

              (x - 7)(x - 1) = 0

S thus,

             x - 7 = 0 or x-1 = 0

             x = 7 or 1

<pBy extracting the square roots;

          (x-4)² = 9

         √(x-4)² = √9

              x - 4 = 3

              x  = 4 + 3 = 7; however, this is not the sole solution

Thus, direct extraction of the square root is not the method for complete solutions.

7 0
1 month ago
You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th
lawyer [9226]

To address this issue, we will utilize the formula for determining the distance from a point to a line.

The formula is:

distance = | a x + b y + c | / sqrt (a^2 + b^2)

 

We have the line equation:

y = 2 x + 4

Rearranging it results in:

<span>y – 2 x – 4 = 0 --> a = -2, b = 1, c = -4</span>

 

The coordinates given are:

(-4, 11) = (x, y)

 

Substituting into the distance formula:

distance = | -2 * -4 + 1 * 11 + -4 | / sqrt [(- 2)^2 + (1)^2]

distance = 15 / sqrt (5)

distance ≈ 6.7

 

<span>Thus, the tree is approximately 6.7 ft from the zip line.</span>

3 0
19 days ago
Machines at a factory produce circular washers with a specified diameter. The quality control manager at the factory periodicall
zzz [9066]

Answer:

A Type I error could occur if the test shows that the proportion is above 90%, while in reality, the actual proportion is 90%.

Step-by-step explanation:

Machines in a factory produce circular washers that meet a specific diameter.

The quality control manager routinely assesses samples of washers to ensure that more than 90% conform to the specified diameter.

Let p represent the proportion of washers that meet the specified diameter

Thus, Null hypothesis: p = 90% H_0

Alternative Hypothesis: p > 90%H_A

Here, the null hypothesis posits that the proportion is exactly 90%. In contrast, the alternative hypothesis suggests that the proportion exceeds 90%.

Now, a Type I error indicates the probability of rejecting the null hypothesis while it is actually true or, in simple terms, the likelihood of incorrectly rejecting a valid hypothesis.

Thus, based on our question, a Type I error would declare that the test convincingly indicates the proportion is over 90%, while in truth, it remains 90%.

0 0
2 days ago
Malcolm is driving 1,373 miles from Wichita to Charleston for a family Reunion. He drives 468 miles the first day and 434 miles
zzz [9066]
Malcolm's remaining distance is roughly
   1370 - 470 - 430 = 470

This coincides with selection...
   D) 470 miles
8 0
1 day ago
LMN is a straight angle. Find m LMP and m NMP​
PIT_PIT [9101]

Answer:

(-16x + 13)° + (-20x + 23)° = 180° (ángulo recto)

-16x° + 13° - 20x° + 23° = 180°

-36x° + 36° = 180°

-36x° = 180° - 36°

-36x° = 144°

-x° = 144°/(-36)

x° = 36°

Espero que puedas conocer esta respuesta

3 0
1 month ago
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