If 3% of a number is 27, what is 44% of that number?

Answer:

(x + 5)^2 + (y + 1)^2 = 2^2

Step-by-step explanation:

I see that the instructions here call for "completing the square."

We need to rewrite x^2 + y^2 + 10x + 2y + 22 = 0 in the standard equation-of-a-circle formula (x - h)^2 + (y - k)^2 = r^2.

Start with x^2 + y^2 + 10x + 2y + 22 = 0,  Group x terms together, then y terms:

x^2 + 10x   + y^2 + 2y = -22

Going through the steps of completing the square, we insert additional constants:

x^2 + 10x + 25 - 25 + y^2 + 2y + 1 - 1 = -22, or

 x^2 + 10x + 25   + y^2 + 2y + 1 = + 25 + 1 - 22 = 4

Rewrite x^2 + 10x + 25 as (x + 5)^2, and y^2 + 2y + 1 as (y + 1)^2

after which the original equation becomes  (x + 5)^2 + (y + 1)^2 = 2^2

The domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

To find the domain of a rational expression, we need to identify any values of x that would result in division by zero. Division by zero is undefined in mathematics
In this case, we need to set the denominator, 4x+20, equal to zero and solve for x:
4x + 20 = 0
Subtract 20 from both sides:
4x = -20
Divide both sides by 4:
x = -5
Therefore, the value x = -5 makes the denominator zero.
Now, we need to consider the values of x for which the denominator is not zero. Since the denominator is a linear expression (a polynomial of degree 1), it is defined for all real numbers except x = -5.
So, the domain of the rational expression (6-x)/(4x+20) is all real numbers except x = -5.

For more such questions on rational

https://brainly.com/question/29270860

#SPJ8

Answer:

\( \frac{n}{4} = 14 \\ n = 4 \times 14 \\ n = 56\)

The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

For more such questions on graphing visit:

https://brainly.com/question/19040584

#SPJ8

Answer:

x = 20, y = -3

Step-by-step explanation:

Set both equations equal to each other

\(\displaystyle y=\frac{3}{5}x-15\\\\y=-\frac{3}{4}x+12\\\\\\\\\frac{3}{5}x-15=-\frac{3}{4}x+12\\\\\frac{12}{20}x-15=-\frac{15}{20}x+12\\\\\frac{27}{20}x-15=12\\\\\frac{27}{20}x=27\\\\x=20\\\\y=\frac{3}{5}x-15\\\\y=\frac{3}{5}(20)-15\\\\y=\frac{60}{5}-15\\\\y=12-15\\\\y=-3\)

Answer:

3/7

Step-by-step explanation:

So, we have to flip 5/3 to 3/5

Then we multiply.

5/7 ⋅ 3/5

15/35

Simplify.

3/7

Hope I helped :)

Please consider Brainliest :)

The statement that is not true about samples is: "samples picked randomly are more representative of a population."

To determine this:

While random sampling is one way to ensure that a sample is representative of a population, it is not the only way. There are other methods of sampling such as stratified sampling, cluster sampling, and systematic sampling that can also be used to obtain a representative sample.

It is important to note that, even with random sampling, a sample may not be representative of the population if the sample size is too small or if there is a significant amount of bias in the sampling process.

To learn more about the  random sampling, visit:

brainly.com/question/29852583

#SPJ4

Ans4863

Step-by-step explanation:

Step-by-step explanation:

Multiply BOTH the 4 and the 5 by any number to get an equivalent ratio

4:5   x 2  =       8/10

4:5   x3   =       12 : 15

4:5   x 2.5 =    10 : 12.5         All equivalent ratios

Answer:

The least possible price is  p  =  £110

Step-by-step explanation:

From the question we are told that

     The number of bracelets to be made is  \(n = 150\)

      The length of silver require for on bracelet is  \(x = 26 \ cm = 0.26 \ m\)

      The option of silver length packs that she buys is  a =  10.5 m  packs

                                                                                           b  =  3.7 m packs

    Generally

                   1 bracelet   \(\to\)  0.26 m  

                   150 bracelet \(\to\)  z

=>        \(z = \frac{150 * 0.26}{1}\)

=>        \(z = 39 \ m\)

Now for option a  i.e  10.5 m  per pack

    The number of packs require is

        \(v = \frac{z}{a}\)

=>     \(v = \frac{39}{ 10.5}\)

=>      \(v = 3.7 1\)

given that the number of packs cannot be a fraction but an integer hence she needs to purchase v =  4

and that 4 packs would equal  t  =  4 * 10.5 =  42 meters of  silver

 Now for option d  i.e  3.7 meters per pack  

 The number of packs requires is  

           \(w = \frac{z}{b}\)

=>        \(w = \frac{39}{3.7}\)

=>        \(w = 10.54\)

given that the number of packs cannot be a fraction but an integer hence she needs to purchase w= 11

and that 11 packs would equal  t  = 11 * 3.7 =  40.7 meters of  silver

So the comparing the option and option b we see that for her to pay as little as possible she needs to go for option b since option be will produce the 150  bracelet with a little excess while option a will produce the 150 bracelet with much excess

    Assuming the price for the 3.7 m  pack is    £10

     And the price for the 10.7 pack is  £30

The least possible amount she would pay is  

                 \(p = 10 * 11\)

                 p  =  £110  

Answer: one billion 1,000,000,000 1 x 109

ten billion 10,000,000,000 1 x 1010

one hundred billion 100,000,000,000 1 x 1011

one trillion 1,000,000,000,000 1 x 1012

Step-by-step explanation:

So sorry if this did not help!

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer:

mark is 33. his dad is 62

Step-by-step explanation:

The equation of the line of best fit is: y = (-2/3)x + 26/3

To estimate the line of best fit using two points on the line, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope of the line and b is the y-intercept.

Given the two points (7, 4) and (10, 2), we can calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates of the points:

m = (2 - 4) / (10 - 7)

m = -2 / 3

Now that we have the slope, we can substitute it into the equation and solve for the y-intercept (b). Let's use the coordinates of one of the points, such as (7, 4):

4 = (-2/3)(7) + b

4 = -14/3 + b

To find the value of b, we can rearrange the equation:

b = 4 + 14/3

b = 12/3 + 14/3

b = 26/3

For more such questions on equation

https://brainly.com/question/22688504

#SPJ8

We have the following rule for exponents:

then, in this case we have:

Answer:

9y

Step-by-step explanation:

since the symbols are the same you just add and keep the symbol.

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

Learn more about similarity here:

https://brainly.com/question/26451866

#SPJ1

Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

Step-by-step explanation:

ask me if you don't understand

Answer:

Step-by-step explanation:

Pneumonoultramicroscopicsilicovolcanoconiosis

Answer: Supercalafragilisticexpialadocious

Step-by-step explanation:

Answer:

\( \frac{3}{2} \)

Step-by-step explanation:

\(4(2x - 5) = 2(3x - 4) - 6x = \\ 8x - 20 = 6x - 8 - 6x = \\ 8x = 20 - 6 \\ \frac{8x}{8} = \frac{20 - 8}{8} \\ x = \frac{3}{2} \)

hope its clear ♡

Answer:

Rotate 90 clockwise wxyz

Step-by-step explanation:

Answer:

1.8

Step-by-step explanation: