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F = kx

k = ?


F/x

x/F

F + x

F - x

The radius of the circle whose center is the origin and that passes through the point (5 12) is 13 units.

explanation;

taking from origin,

let 5 units equat to x - axixs

 and y = 12 units

so using pythagoras theorm radius = square root of (12)² + (5)²

                                                              = [tex]\sqrt{169}[/tex]

                                                                 =13 answer.

The radius of a circle is the length of the line section from the middle to some extent at the circumference of the circle. it is commonly abbreviated as 'r'. There can be countless radii drawn in a circle and the duration of all those radii can be the identical. it is half of the diameter of the circle.

Radius of a circle from region: in case you know the place A , the radius is r = √(A / π) . Radius of a circle from circumference: if you understand the circumference c , the radius is r = c / (2 * π) . Radius of a circle from diameter: if you understand the diameter d , the radius is r = d / 2

A line phase extending from the middle of a circle or sphere to the circumference or bounding surface. 2a = the bone at the thumb side of the human forearm also : a corresponding a part of vertebrates above fishes. b=the 1/3 and commonly biggest vein of an insect's wing.

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If Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute

Using this formula

Minimum number of words =(z score× standard deviation)  + means

Where:

z score=(100%-3%=97%)

z score= 97%=1.881

Standard deviation=175

Mean=20

Let plug in the formula

Minimum number of words =(1.881×20) + 175

Minimum number of words =37.62+175

Minimum number of words =212.62

Minimum number of words =213 (Approximately)

Inconclusion if Mrs. smith's reading class can read a mean of 175 words per minute with a standard deviation of 20 words per minute. The top 3% of the class is to receive a special award. The minimum number of words per minute a student would have to read in order to get the award will be: 213 words per minute

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The answer Y=1

:) hope this helps

The result of the expression 15 + 17 - 100 + 1000 + (-132) x 0 is 932.

Multiplication first according to the order of operations (PEMDAS/BODMAS):

(-132) x 0 = 0

Now, substitute the result back into the equation:

15 + 17 - 100 + 1000 + 0

Next, perform the addition and subtraction from left to right:

15 + 17 = 32

32 - 100 = -68

-68 + 1000 = 932

So, the final answer is 932.

To rewrite 64 using 2 as the base, the exponent is 6.

To rewrite 64 using 2 as the base, we need to find the exponent that represents the power of 2 that equals 64. In other words, we need to solve the equation 2 to the power of x equals 64. We can do this by finding the logarithm with base 2 of 64. Using a calculator, we find that log base 2 of 64 is 6. Therefore, the exponent is 6.

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Final answer:

The probability that a randomly selected golf ball will be red from a basket of 18 balls, with 9 red, is 1/2 or 50%.

Explanation:

The question is asking about the probability of selecting a red golf ball from a basket that contains 18 golf balls, with 9 of them being red. To find this probability, we divide the number of red golf balls by the total number of golf balls.

Here is the calculation:

Number of red golf balls: 9

Total number of golf balls: 18

Probability (P) of selecting a red golf ball: P = Number of red golf balls / Total number of golf balls

P = 9 / 18

P = 1/2 or 0.5 or 50%

Therefore, the probability that a randomly selected golf ball will be red is 1/2, which can also be expressed as 0.5 or 50%.

Answer:the answer is 20

Step-by-step explanation:

Answer:

a reflection of the line segment across the line y = –x

Step-by-step explanation:

Reflecting across the line y = -x switches the x- and y-coordinates and negates both.  This will map

(-1, 4)→(4, -1)→(-4, 1) and

(4, 1)→(1, 4)→(-1, -4)

The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.

Option D is the correct answer.

There are two ways of translation.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

The reflection of a point over the x-axis involves changing the sign of its

y-coordinate while leaving the x-coordinate unchanged.

The reflection of a point over the y-axis involves changing the sign of its

x-coordinate, while leaving the y-coordinate unchanged.

The reflection of a point over the line y = x involves swapping its x and y-coordinates.

The reflection of a point over the line y = -x involves swapping the sign of its x and y-coordinates.

To find the reflection that produces an image with endpoints at (–4, 1) and (–1, –4), we need to reflect the original line segment across a line that produces an image with the same length and orientation as the given endpoints.

One way to do this is to plot the points and draw the line segment, then draw the candidate lines of reflection and see which one produces the desired image.

Another way is to compute the midpoint of the original line segment and see which reflection takes that midpoint to the midpoint of the desired image.

Using the second method, the midpoint of the original line segment is:

= ((–1 + 4) / 2, (4 + 1) / 2)

= (1.5, 2.5)

The midpoint of the desired image is:

= ((–4 + –1) / 2, (1 + –4) / 2)

= (-2.5, -1.5)

To find the reflection that takes (1.5, 2.5) to (-2.5, -1.5), we can see that this is the reflection across the line y = -x.

Therefore,

The reflection that produces an image with endpoints at (–4, 1) and (–1, –4) is a reflection of the line segment across the line y = -x.

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The equation that represents a line perpendicular to line g is Y= 7/4x (option D).

A line that is perpendicular to line g will have a slope that is the negative reciprocal of -4/7. The negative reciprocal of a slope is found by flipping the fraction and changing the sign. The negative reciprocal of -4/7 is 7/4. Therefore, the equation that represents a line perpendicular to line g is Y= 7/4x (option D).

Answer:

Step-by-step explanation:

the answer is 9

The number of like terms in the given expression are:

                                           3

                ( 14x , -x and 2x)

Like terms--

The like terms are the terms which have the same variables with the same power.The coefficients of such terms may vary.

The expression is given by:

        14x-14y+7-x+z+2x

There are total 6 terms in given expression.

The number of terms with variable x are: 3  i.e.   14x , -x and 2x

The number of terms with the variable y is: 1 i.e. -14y

The number of terms with variable z is: 1 i.e.  z

and the number of constant term is: 1 i.e. 7

Hence, the number of like terms are: 3

The student's question seems to be about algebraic operations with an unclear equation, but the provided example with y = 9 + 3x demonstrates how to create a table and graph of a linear equation with a slope of 3 and y-intercept of 9.

The student's question involves performing the indicated operations with algebraic expressions that include variables and fractions. The expressions mentioned resemble an equation that could potentially be simplified or solved, but the question as written contains typos and lacks clear structure. Consequently, to provide an accurate answer, we would need the correct and complete version of the equation.

However, in similar problems, one would typically combine like terms, find a common denominator for fractions, and simplify the equation to solve for the variable. For the equation y = 9 + 3x, to create a table of values, one can choose different values of x, substitute them into the equation, and calculate the corresponding y values. Then, plotting these points on a graph would show the linear relationship represented by the equation with a slope (m) of 3 and a y-intercept (b) of 9.

The value of x in the given equation 1/5x-2/3 y = 30 when y = 15 is given by option D. x = 200.

To find the value of x in the equation 1/5x - 2/3y = 30 when y = 15,

substitute the value of y into the equation and then solve for x.

Equation is 1/5x - 2/3y = 30

Substitute y = 15:

1/5x - 2/3(15) = 30

Now, calculate the value of 2/3(15):

2/3 × 15 = 30/3 = 10

Now, the equation becomes:

1/5x - 10 = 30

To isolate the term with x, add 10 to both sides of the equation:

1/5x = 30 + 10

1/5x = 40

Finally, to find x, multiply both sides by 5:

x = 40 × 5

x = 200

Therefore, the value of x in the equation when y = 15 is  option D. x = 200.

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The rate of mr Rodriguez to complete 1 job is 1/3 while that of his assistant is 1/4.5.

So if mr Rodriguez works for 1 hour, the job left would be 2/3 of the job. So the total time needed by assistant is:

(2/3) / (1/4.5) = 3 hours

Answer:

3 hours