How many solutions does the linear system below have? -8x+2y=6 and -4x+y=3

The term you're looking for is "uncertain digits."

Uncertain digits refer to the digits in a measurement that exceed the level of certainty provided by the measuring instrument.

Measurements, it is crucial to recognize the limitations of the instruments being used, as this can impact the precision and accuracy of the results.
Precision is the degree to which an instrument can consistently produce the same measurement, while accuracy is the closeness of a measurement to its true value.

Uncertain digits can affect both of these aspects.
To better understand uncertain digits, consider the following step-by-step explanation:
Identify the measuring instrument:

This could be a ruler, thermometer, or any other device used to take measurements.
Determine the instrument's least count:

The least count is the smallest unit the instrument can measure.

A ruler with millimeter markings has a least count of 1 millimeter.
Record the measurement:

When taking a measurement, include all the certain digits (those within the instrument's least count) and one uncertain digit.

The uncertain digit is an estimate, and it represents the best guess within the least count of the instrument.
Keep in mind the limitations:

Recognize that uncertain digits are an inherent part of the measuring process and that they affect the precision and accuracy of the results.
Uncertain digits are the digits that exceed the certainty of a measuring instrument.

It is important to consider these digits and the limitations of the instruments used when conducting experiments or making measurements.

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Step-by-step explanation:

TO FIND THE DOMAIN OF THIS FUCTION AVOID SITUATIONS LIKE Y=2/0 FOR THIS IS UNDEFINED.

TAKING THE DENOMINATOR AND EQUATING IT TO ZERO

=> X – 6 =0

=> X=6

SO AVOID HAVING X = 6 IN THE DENOMINATOR FOR WHICH THE FUNCTION WILL BECOME UNDEFINED

THEREFORE, X ≠6

DOMAIN ={ X£R, x ≠6}

I.e all real numbers except 6

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

The degrees of freedom (df) for the within-groups scenario is 27.

In the F-test, which is used to compare variances between groups, the degrees of freedom consist of two components: the numerator df and the denominator df. The numerator df corresponds to the number of groups being compared, while the denominator df represents the total number of observations minus the number of groups.

In the given scenario, F(2,27) = 8.80 indicates that the F-test is comparing variances between two groups. The numerator df is 2, representing the number of groups being compared.

To determine the within-groups df, we need to calculate the denominator df. The denominator df is calculated as the total number of observations minus the number of groups. Since the denominator df is given as 27, it implies that the total number of observations is 27 + 2 = 29, considering the two groups being compared.

Therefore, the within-groups df is 27, as it represents the total number of observations minus the number of groups in the F-test.

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Answer:

hope you can understand

The equation using the identity rule is a^3 - 3a^2b + 3ab^2 - b^3

The equation (a-b)^3 can be expanded using the binomial theorem, where the variables are the two numbers (a and b),

From the question, we have the following parameters that can be used in our computation:

(a-b)^3

When expanded, we have

a^3 - 3a^2b + 3ab^2 - b^3

Hence, the expansion is a^3 - 3a^2b + 3ab^2 - b^3

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Answer:

Time

Step-by-step explanation:

Answer:

16 inches after one year

Step-by-step explanation:

in 3/4 a year tree grew 12 inches

divide by 3

multiply by 4

16 inches

Answer:

-17/12

Step-by-step explanation:

We have x+y

If x=1/3 and y=-7/4,

we can substitute them in and get:

1/3+(-7/4)

=1/3-7/4

=4/12-21/12

=-17/12

Answer:

1/3 + -7/4 =

4/12 + -21/12=

-17/12=

-1 5/12 this is what i got i dont know how the hail i got this 0_o

Step-by-step explanation:

Answer:

Right scalene

Step-by-step explanation:

x y

1 16

2 12

3 8

5 0

Step-by-step explanation:

you have to substitute ever number on the X side in the equation to get the Y

for example 1 is under x so you will take

y=20-4(1)

y=20-4

y=16

Answer:

w = -6/7

Step-by-step explanation:

Step 1:

-5/10w - 6/10 = 2/10w

Step 2:

-6/10 = 7/10w

Step 3:

-6/10 × 10/7w

Answer:

w = -6/7

Hope This Helps :)

Answer:

the answer is probably 3/5 since its the starting one so it will be how t started

Step-by-step explanation:

Answer:3:5

Step-by-step explanation:well when you divide 6/10 it equals 3/5.when you divide 9/15 it equals 3/5 and so on.

The Mayan notation for the base-10 number 6813 is (representing 6,000 + 800 + 10 + 3).

To write the number 145123 in Mayan notation, we need to break it down into its components in the Mayan number system.

The Mayan system is vicesimal, meaning it is based on 20 rather than 10.

The number 145123 can be represented in Mayan notation as (representing 7,200 + 400 + 100 + 10 + 3).

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Answer:

Step-by-step explanation:

For example, we have 8, which is not a perfect square

square root of(8)

we divide 8 by prime numbers, until it gets to 1

8/2

4/2

2/2

1

We have divided our number 8 with 2 by 3 times.

Now we pair the numbers.

2 with 2, and the third 2 remains.

the pairs will be in front of the squareroot, and what remains will remain in the squareroot.

squareroot(8) = 2\(\sqrt{2}\)

Let's take another number

32

Divide it in prime numbers

32/2

16/2

8/2

4/2

2/2

1

We have 2 pairs of 2 and on remaining 2

We multiply the pairs together, and we get 4 in front of the squareroot.

squareroot(32) = 4\(\sqrt{2}\)

Let's take 21

21/7

3/3 (3 is a prime number also 5,7,11,13,17 etc)

1

-This one doesn't have a short answer that could be written.

take 80

80/2

40/2

20/2

10/2

5/5

1

We have 2 pairs of 2 and a 5

squareroot(80) = 4\(\sqrt{5}\)

Answer:

4.5

Step-by-step explanation:

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Answer:

when the copper is gold and triangle is isocesles triangles what is your number?

Step-by-step explanation:

the answer is i leb ye

Answer:

if it is triangle

area=1/2 base×height

49×2=7×height

height=49/7 ×2=14m

The height of the triangle is 14 m whose base measure is 7 m and the area of the triangle is 49 m²

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have:

Base length of the triangle = 7 m

Area of the triangle = 49 m²

We know the area of the triangle is given by:

\(\rm A = \frac{1}{2} (b\times h)\)

Here b = 7 m, A = 49 m², and h is the height of the triangle

Put the above values in the formula, we get:

\(\rm 49 = \frac{1}{2} (7\times h)\)

49×2 = 7×h

h = 14 m    (divide by 7 on both sides)

Thus, the height of the triangle is 14 m whose base measure is 7 m and the area of the triangle is 49 m²

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Answer:

Step-by-step explanation:

1) 36:81

2)81 pints

3)14.625 gallons of paint

Answer:

19.87301587

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ok, so you would use PEMDAS, which is the correct order in which you would need to solve an equation. The idea is that the operations that come first would have to be solved first.

If you don't know it, PEMDAS is:

Parentheses

Exponents

Multiplication/division

Addition/subtraction

In this case, you would need to solve the parentheses. (7x9) is 63.

It would be rewritten as 4x5-8/63

There are no exponents, so you can skip the next operation.

Then you would do multiplication next, which would be 4x5 = 20

The equation would be rewritten as 20-8/63

-0.126984127 is -8/63

Lastly, 19.8730159 is the result of 20-0.126984127

Hope this helps!

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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The ratio shows how many times one value is contained in another value.

Number of Honeycrisp apples = 5x

Number of Gala apples = 3x

Total number of apples = 5x + 3x = 8x

The percentage of Honeycrisp apples sold.

= (5x/8x) x 100

= 62.5%

The percentage of Honeycrisp apples sold is 62.5%

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

A stand at a farmer’s market sells Honeycrisp apples and gala apples at a ratio of 5 : 3.

This means,

Number of Honeycrisp apples = 5x

Number of Gala apples = 3x

Total number of apples = 5x + 3x = 8x

Now,

The percentage of the Honeycrisp apples sold.

= 5x/8x x 100

= 500/8

= 62.5 %

Thus,

The percentage of Honeycrisp apples sold is 62.5%

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Given that the correlation between two variables is r=0.23. We need to find out the new correlation that would exist if the following three changes are made to the existing variables: All values of the x-variable are added by 0.14. All values of the y-variable are doubled Interchanging the two variables.  the correct option is B. 0.37.

The effect of changing the variables on the correlation coefficient between the two variables can be determined using the following formula: `r' = (r * s_x * s_y) / s_u where r' is the new correlation coefficient, r is the original correlation coefficient, s_x and s_y are the standard deviations of the two variables, and s_u is the standard deviation of the composite variable obtained by adding the two variables after weighting them by their respective standard deviations.

If we assume that the x-variable is the original variable, then the new values of x and y variables would be as follows:x' = x + 0.14 (since all values of the x-variable are added by 0.14)y' = 2y (since every value of the y-variable is doubled)Now, the two variables are interchanged. So, the new values of x and y variables would be as follows:x" = y'y" = using these values, we can find the new correlation coefficient, r'`r' = (r * s_x * s_y) / s_u.

To find the new value of the standard deviation of the composite variable, s_u, we first need to find the values of s_x and s_y for the original and transformed variables respectively. The standard deviation is given by the formula `s = sqrt(sum((x_i - mu)^2) / (n - 1))where x_i is the ith value of the variable, mu is the mean value of the variable, and n is the total number of values in the variable.

For the original variables, we have:r = 0.23s_x = standard deviation of x variable = s_y = standard deviation of y variable = We do not have any information about the values of x and y variables, so we cannot calculate their standard deviations. For the transformed variables, we have:x' = x + 0.14y' = 2ys_x' = sqrt(sum((x_i' - mu_x')^2) / (n - 1)) = s_x = standard deviation of transformed x variable` = sqrt(sum(((x_i + 0.14) - mu_x')^2) / (n - 1)) = s_x'y' = 2ys_y' = sqrt(sum((y_i' - mu_y')^2) / (n - 1)) = 2s_y = standard deviation of transformed y variable` = sqrt(sum((2y_i - mu_y')^2) / (n - 1)) = 2s_yNow, we can substitute all the values in the formula for the new correlation coefficient and simplify:

r' = (r * s_x * s_y) / s_ur' = (0.23 * s_x' * s_y') / sqrt(s_x'^2 + s_y'^2)r' = (0.23 * s_x * 2s_y) / sqrt((s_x^2 + 2 * 0.14 * s_x + 0.14^2) + (4 * s_y^2))r' = (0.46 * s_x * s_y) / sqrt(s_x^2 + 0.0396 + 4 * s_y^2)Now, we can substitute the value of s_x = s_y = in the above formula:r' = (0.46 * * ) / sqrt( + 0.0396 + 4 * )r' = (0.46 * ) / sqrt( + 0.1584 + )r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = (0.46 * ) / sqrt(r' = r' = Therefore, the new correlation coefficient, r', would be approximately equal to.

Hence, the correct option is B. 0.37.

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Answer:

2000

Step-by-step explanation:

Number of shares after split is 5/2 times the pre split value =800*5/2 = 2000

Answer:

500 dollars spend by john

The area of square abcd is  be parallel lines passing through $a$, $b$, $c$, respectively is the 433.

Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.

Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.

The distance is 12 and 17

x^2 = 12^2 + 17^2 = 144 +289 = 433

433 is the total that is the area of square of abcd.

Thus the area = 433.

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Answer:

obtuse angle is 155'

Reflex angle is 205'

Step-by-step explanation:

Just add the angles between the arecs

Answer: 13

Step-by-step explanation: