Name the special segment AC

Length of the median of the triangle is b. 18

How to find the length of the median of a triangle?
Given that the centroid of a triangle is located 12 units from one of the vertices of a triangle. We need to find the length of the median of the triangle drawn from that same vertex.

Let ABC be a triangle.

Let AD be median of the triangle.

Let E be centroid of ΔABC

Length of the median of triangle = AD

AD = Length of AE + Length of ED

But,

AE = 12

ED = x

So,

AD = 12 + x

Since, centroid divides median in 2:1 ratio.

Then,

\(12 : x = 2 : 1\\12/x = 2/1\\\\12= 2x\\\)

Divide by 2 each side

\(x = 6\)

So,  AD = 12 + x = 12 + 6 = 18

Thus, Length of the median of triangle is 18.

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Answer:

3x + 3.20 =33.20

Step-by-step explanation:

Answer:

2nd one is 4.48

Step-by-step explanation:

The degree of the polynomial function that models the data can be determined by counting the number of turning points in the curve. The second differences of the y-values can be calculated to identify the degree of the polynomial function.

To determine the degree of the polynomial function that models the data:

The degree of a polynomial function is the highest power of the variable in the polynomial expression. In this case, we can analyze the given data to find the degree of the polynomial that best fits the data.

Look at the x column (wind speed) and the y column (power generated).

Plot the data points on a graph and observe the general shape of the curve formed by the points.

Determine the highest power of x that would be necessary to capture the shape of the curve and fit the data accurately.

Count the number of significant turning points or peaks in the curve, as each turning point represents a change in the polynomial's degree.

The degree of the polynomial function is equal to one less than the number of turning points observed.

By analyzing the data and the shape of the curve, you can determine the degree of the polynomial function that models the data.

To find the second differences of the y-values:

The second differences of the y-values can provide insights into the rate of change and help identify the degree of the polynomial function.

Start by calculating the first differences of the y-values. This involves finding the difference between consecutive y-values in the data set.

Next, calculate the differences between consecutive first differences. These are the second differences.

Examine the pattern of the second differences.

If the second differences are constant, it suggests a linear relationship (degree 1).

If the second differences have a consistent pattern, such as a constant second difference between consecutive values, it indicates a polynomial of a higher degree.

By calculating and analyzing the second differences of the y-values, you can gain insights into the degree of the polynomial function that best represents the data.

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Answer:

there is no solution

Step-by-step explanation:

When we solve it, the first step is \(-6x+1=7-6x\).

-6x+6x is 0, so there is no solution

Answer:

There are no solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

−2(3x)+1=7−6x

Step 1: Simplify both sides of the equation.

−2(3x)+1=7−6x

−6x+1=7+−6x

−6x+1=−6x+7

Step 2: Add 6x to both sides.

−6x+1+6x=−6x+7+6x

1=7

Step 3: Subtract 1 from both sides.

1−1=7−1

0=6

Hope this helps.

Answer:

b.300cm

Step-by-step explanation:

Into how many equal parts can the same cake be cut if the cuts can only be made along the gridlines, cake can be cut into 20 equal parts.

This is further explained below.

Generally, In spreadsheet software, gridlines are the light gray lines that divide the cells, rows, and columns. Gridlines are often used to maintain track of data. Gridlines are widely used in popular spreadsheet programs like Spreadsheet.

In conclusion, If the cuts can only be done along the gridlines, the cake may be divided into 20 equal pieces when cutting along the lines.

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Answer:

15

Step-by-step explanation:

Plz give brainlest

Answer:

20

Step-by-step explanation:

Because it half of 40

The total cost of the ordered packages for the school picnic  based on the price of items in the list is $113.

Price list

Cost based on number of each items purchased :

The total cost of purchases:

$(80.00 + $32.00 + $1.00) = $113.00

Therefore  the total cost of the ordered packages is $113.00

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Refer to the attachment! v

The value for which test score is below 95% percent for the given mean and standard deviation on a college placement is equal to 696.

As given in the question,

Given :  95% of the test takers score are below z.

z-score is given  by,

z=(x-μ)/σ

Mean of the score 'μ' = 500

Standard deviation of the score ' σ' = 100

Z = 95%

  = 0.95

P(z<Z) = 1-0.95

           = 0.05

The value of z which corresponds to 0.05 in the table is equal to 1.96.

Substitute all the values we get,

z=(x-μ)/σ

⇒1.96 = ( x - 500 ) / 100

Multiply by 100 both the sides we get,

⇒ 196 = ( x - 500 )

⇒ x = 696

Therefore, the value for which test score is below 95% percent for the given mean and standard deviation is equal to 696.

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Given:

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).

To find:

The intersection point of medians DG and EH.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

\(Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)\)

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is

\(Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)\)

\(Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)\)

\(Centroid=\left(-0.666...,2.333\right)\)

Round each coordinate to the nearest tenth.

\(Centroid=\left(-0.7,2.3\right)\)

Therefore, the correct option is C.

Answer: 39

Step-by-step explanation:

Answer:

um i think  about 39 foot it has been a little scenes i have done this

Step-by-step explanation:

The value which is not a solution of either inequality x > 2 and x < 2 is 2

The inequality x > 2 represent all the value greater than two but does not include 2 in the range all the values from 2 to infinity it can be written as (2 , ∞) .

The inequality x < 2 represent all the value lesser than two but does not include 2 in the range  all the values from - infinity to 2 it can be written as (-∞ , 2) .

Both the inequalities does not include 2 in the range

The number line represents the inequalities x > 2 and x < 2

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The value of determinant of the matrix det (AB) is 15.

Given matrices A and B are 3 by 3 matrices with

det (A) = 3 and

det (b) = 5.

We need to find the value of det (AB).

Writing the given matrices into the augmented matrix form gives [A | I] and [B | I] respectively.

By multiplying A and B, we get AB. Similarly, by multiplying I and I, we get I. We can then write AB into an augmented matrix form as [AB | I].

Therefore, we can solve the augmented matrix [AB | I] by row reducing [A | I] and [B | I] simultaneously using elementary row operations as shown below.


The determinant of AB can be calculated as det(AB) = det(A) × det(B)

= 3 × 5

= 15.

Conclusion: The value of det (AB) is 15.

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We need to find the value of determinant det(AB), using the formula: det(AB) = det(A)det(B)

=> det(AB) = 3 × 5

=> det(AB) = 15.

Hence, the value of det(AB) is 15.

The given matrices are A and B. Here, we need to determine the value of det(AB). To calculate the determinant of the product of two matrices, we can follow this rule:

det(AB) = det(A)det(B).

Given that: det(A) = 3

det(B) = 5

Now, let C = AB be the matrix product. Then,

det(C) = det(AB).

To evaluate det(C), we have to compute C first. We can use the following method to solve the augmented matrix by elementary row operations.

Given matrices A and B are: Matrix A and B:

[A|B] = [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0][A|B]

= [3 0 0|1 0 1] [0 3 0|0 1 1] [0 0 3|1 1 0].

We can see that the coefficient matrix is an identity matrix. So, we can directly evaluate the determinant of A to be 3.

det(A) = 3.

Therefore, det(AB) = det(A)det(B)

= 3 × 5

= 15.

Conclusion: Therefore, the value of det(AB) is 15.

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\(\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ a=12\\ b=6\\ h=9 \end{cases}\implies A=\cfrac{9(12+6)}{2}\implies A=81~ft^2\)

Answer: given and explained briefly below.

In these questions, we go right to left of the function to solve.

(a)

given that

f(x) = x - 3

g(x) = x + 3

(i) fg(x)

= f(x + 3)

= ( x +3 ) -3

= x

(ii) gf(x)

= g(x-3)

= (x-3)+3

= x

to find inverse, we have to make x the subject,

1)

f(x) = x - 3

f(x) + 3 =x

f^-1(x) = x + 3

2)

g(x) = x + 3

g(x) -3 = x

g^-1(x) = x -3

(b)

given that

f(x) = -1/4x

g(x) = 1/4x

fg(x) =

f(1/4x)

1/4(-1/4x)

= x

2)

gf(x)

g(-1/4x)

-1/4(1/4x)

= -x

to find inverse, we have to make x the subject,

1)

f(x) = -1/4x

-1/f(x) = 4x

f^-1(x) = -1/4x

2)

g(x) = 1/4x

x = 1/4g(x)

g^-1(x) = 1/4x

Ummm i don't know what the pmf would be but the probability of grabbing a blue sock would be 10 out of 100...

ANSWER

5/10 and 4/10

EXPLANATION

We want to enter fractions given as a pair of fractions that have the same denominator.

The fractions given are:

1/2 and 2/5

To do that, we have to first find the lowest common multiple of the two denominators.

The denominators are:

2 and 5

Their lowest common denominator is 10, since it is the smallest number which is divisible by both numbers.

To put the first fraction in terms of a denominator of 10, we have to multiply the numerator and denominator by 5.

That is:

To put the second fraction in terms of a denominator of 10, we multiply the numberator and denominator by 2.

That is:

Therefore, the two fractions in terms of a common denominator are 5/10 and 4/10.

The amount of water that is being leaked in a week is 236.25 gallons.

The first step is to determine the rate of conversion of ounces to gallons.

1 ounce = 1/128 gallons.

The second step is to determine how many minutes are in a week.

Number of minutes in a week = minute per hour x number of hours in a day x number of days in a week

= 60 x 24 x 7 = 10,080 minutes

Now, determine how much water is leaked in ounces in a week.

Total ounces of water being leaked in a week = ounces leaked per minute x number of minutes in a week

= 10,080 x 3 = 30,240 ounces

In order to convert 30,240 ounces to gallons, divide by 128

30,240 / 128 = 236.25 gallons

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Answer:

-16

Step-by-step explanation:

b^2 c^-1

We know that c^-1 can also we written as 1/ c

b^2 / c

Let b =8 and c = -4

8^2 / (-4)

64 / -4

-16

Answer:

Step-by-step explanation:

Area of trapezium

Area of rectangle - Area of triangle

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

Answer:

u watch Naruto

Step-by-step explanation:

.....................,....,...

Answer:

y = \(\frac{11x-110}{5}\)

Step-by-step explanation:

Answer: 254

Step-by-step explanation:

using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Answer:

K= 15

Step-by-step explanation:

K/-3 +3 = -2

Simplify by subtracting 3 on each side:

K/-3 = -2-3

K/-3 = -5

Simplify further by multiplying each side by -3:

K= -5*-3

K = 15