What is the product? (5r − 4)(r2 − 6r 4) 5r3 − 34r2 44r − 16 5r3 − 4r2 14r − 16 5r3 − 6r − 16 5r3 10r − 16.

Answer:

n = 108

Step-by-step explanation:

The three medians of a triangle intersect at the same point inside the triangle.

The segment from a vertex to the point in the center is 2 times as long as the

other part of the median line.  So OC is 2 times KC.

KC =108    

OC = 2(108)

2n + 10 = 216

2n = 206

n = 108

In ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

" Median of a triangle is defined as the line segment passing the vertex of a triangle and intersect at mid point of its opposite side.Intersecting point of three medians is known as Centroid."

Property used

Centroid divides the median in the ratio of [tex]2:1[/tex] from vertex side.

According to the question,

Given,

In ΔABC,

BL, AM, CK are the medians of a triangle ABC.

'O' represents the Centroid

[tex]KC = 108\\\\OC = 2n +10[/tex]

Ratio of [tex]KC : OC = 3: 2[/tex]

Substitute the value of KC and OC we get,

[tex]108 : (2n + 10) = 3:2\\\\\implies 3 (2n+ 10) = 2(108)\\\\\implies 6n + 30 = 216\\\\\implies 6n = 186\\\\\implies n = 31[/tex]

Hence, in ΔABC , Value of [tex]n= 31[/tex] as per given condition of median of a triangle .

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Answer:

The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.

The y-intercept (b) for this function is located at (0,3). So, b=3.

Therefore, h(x) = 3/5x + 3

Step-by-step explanation:

Let the independent variable be x and dependent variable be y

y=h(x)

h is a linear function so it is represented in the general form of y=mx+c where

m is slope and c is the y-intercept.

Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."

When x increases by 5, y decreases by 3

So the slope = rate of change of y / rate of change of x = -3/5

Given h(0)=3, h(0)=m(0)+c=3

c=3

Combining slope and y-intercept, y=-3/5*x+3

x-intercept is when y=0

0=-3/5*x+3

3/5*x=3

x=3*5/3=5

x-intercept=5

The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

And, g(0) = - 3

Now,

Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.

So, Slope = Rate of growth

               = - 3 / 5

Thus, The slope of the linear function - 3/5.

Hence, The general form of equation of line is,

⇒ y = mx + c

⇒ g (x) = - 3/5x + c

Since, g (0) = - 3

⇒ g (0) = - 3/5 × 0 + c

⇒ - 3 = c

Thus, The y - intercept of the linear function - 3.

Hence, We get the general form of equation of line as;

⇒ g (x) = - 3/5x - 3

For x - intercept put g (x) = 0, we get;

⇒ 0 = - 3/5x - 3

⇒ - 3/5x = 3

⇒ x = - 5

Thus, The x - intercept of the linear function - 5.

Therefore, The slope of the linear function 3/5.

The y - intercept of the linear function - 3.

The x - intercept of the linear function - 5.

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Answer:

$839.95

Step-by-step explanation:

There are 2 ways to go about this. First, the logical method is to calculate the tax and then add it to the price:

7%=7/100=0.07

7% “of” the amount says to multiply. The word “of” in maths means multiply:

0.07×$785=$54.95.  The tax is $54.95

The computer costs $785. Plus the tax $54.95:  $785+$54.95=$839.95

She pays $839.95 for the computer, including tax.

You can do this calculation in 1 step. If you are like me, I like to do my math as quickly and as efficiently as possible. What we did above is this:

100% of the computer price plus 7% of the computer price to get the total cost taxes in.

100% + 7% = 107%. And 107% = 1.07

So we have the following:

$785×1.07=$839.95

Hope this helps :)

Answer:

$839.95

Step-by-step explanation:

From the question, we are informed that Ella buys a computer for $785 and that her local tax rate is 7%. The amount that Ella pay for the computer, including tax will be:

= $785 + (7% × $785)

= $785 + (0.07 × $785)

= $785 + $54.95

= $839.95

Answer:

4064

Step-by-step explanation:

254*64=16256*1/4=4064

Step-by-step explanation:

t=4v+3

t-3=4v

(t-3)/4=v

hope this helps you.

Answer:

25 nickles are 5/12ths of a dollar

Step-by-step explanation:

25*5=125, or $1.25. Now we make this a fraction, we get 1.25/3, or 5/12

The 25 nickels are the 5/12 part of the 3 dollars.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We know that 1 nickel = 0.05 dollars.

Then the number of dollars in 25 nickels will be given as,

⇒ 25 x 0.05

⇒ $1.25

Divide the number 1.25 by 3. Then we have

⇒ 1.25 / 3

⇒ 5 / 12

The 25 nickels are the 5/12 part of the 3 dollars.

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Answer:

29

Step-by-step explanation:

The formula for calculating degrees of freedom in a t-test is n-1 where n is the sample size. Therefore, there are 30-1=29 degrees of freedom if the sample size is n=30.

Answer:

A physical quantity is a physical property of a material or system that can be quantified by measurement.

Answer:81

Step-by-step explanation: it is skip by 3x so 21 x3 = 81

:)

Answer:

$624

Step-by-step explanation:

I =Prt I being interest paid, P is Principal, r is rate, t is term

I =5200x.04x3

I=624

Answer:

.the same variables and same powers

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers.

HOPE IT HELPS...............

Answer:

Yes it is an outlier

Step-by-step explanation:

Answer:

The difference between 12 and a number ➜ 12 - p

The sum of a number and 12 ➜ 12 + p

The quotient of a number and 12 ➜ [tex]\frac{p}{12}[/tex]

The expression in the box for the quotient of a number and 12, the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

If x and y are the arbitrary numbers.

And sum of the numbers are x + y,

difference of the numbers are x - y and

quotient of number x and y is x/y.

Here we have the expression and their representation,

the quotient of a number and 12 = p/12

the sum of a number and 12 = p + 12

the difference between 12 and a number =  p - 12.

Therefore the expression in the box for the quotient of a number and 12,

the sum of a number and 12 and the difference between 12 and a number are p/12 , 12 + p and p - 12.

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Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

105 sweets

Step-by-step explanation:

4×15 = 60

2×15=30

1×15=15

60-15 =45

60+30+15=105

Answer:

y = 7x + 3

Step-by-step explanation:

A slope of 1/7 will give you a line that is not very steep.  Therefore C and D is not the answer.

Now look at  A and B.  Check point (1, 10) into equations A and B  because this point is on the given graph.

y = 7x + 3                                    y = 7x + 10

y = 7(1) + 3                                   y = 7(1) + 10

y = 7 + 3                                      y = 7 + 10

y = 10      (1, 10)                             y = 17            (1, 17)

The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.

That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.

Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.

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6) The equation given is written in standard form of writing the equation of a line y = mx + b

Hence the shape of the graph that denotes the equation c(m) = 28m + 100 is a straight line

7) The independent variable is a variable that can stand alone while the dependent variable is depending on all other variables in an expression.

From the given equation c(m) = 28m + 100, the independent variable is (m) while the dependent variable is c(m)

8) The domain is the input value for which the equation exists while the rage is the output value for which the equation exists. For the given expression, the value of the expression will exist at a point where c(m) > 0

28m + 100 > 0

28m > -100

m > -100/28

m > --25/7

The domain is m > -25/7 while the range is c(m) > 0

9) The comparing the equation with y = xm+ b

where x is the slope

28m = mx

x = 28

This shows that the rate of change of cost per member is $28

The y-intercept is the point where the number of months is 0

If m = 0

c(0) = 28(0) + 100

c(0) = 100

The initial cost of membership in the first month is $100

10) Given the formula c(m) = 28m + 100

For a whole year, m = 12

c(12) = 28(12) + 100

c(12) = 336 + 100

c(12) = 436

Hence the membership will cost $436 for the whole year

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Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Step-by-step explanation:

The top line is the payment amount.

The bottom line is the 2% fee.

Let's do the middle columns first.

For any payment amount, the fee is 2%.

To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.

2% as a decimal is 0.02

To find 2% of a number, multiply 0.02 by the number.

The second column has payment amount of $23.50

We need to find 2% of $23.50

2% of $23.50 = 0.02 × $23.50 = $0.47

The third column has payment amount of $64.00

We need to find 2% of $64.00

2% of $64.00 = 0.02 × $64.00 = $1.28

Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.

Let the amount be x.

The fee is 2% of x, so the fee is

0.02x

We set the expression equal to the actual fee and solve for x.

The first column has a fee of $0.25

0.02x = $0.25

x = $0.25/0.02

x = $12.50

The 4th column has a fee of $1.64

0.02x = $1.64

x = $1.64/0.02

x = $82

Answer:

Pmt Amt     $12.50      $23.50      $64.00      $82.00

Fee             $0.25        $0.47        $1.28         $1.64

Answer:

Choc Bar: 258 cals

Coco Bar: 264 cals

Step-by-step explanation:

What we can do here is something called making a system of equations.

Let us name the choc. bars x and the coco. bars y.

Then, we can get:

x+2y=780

2x+y=786

Next, we solve for x in the first equation

x=780-2y

Now, we can substitute:

2(780-2y)+y=786

1560-3y=786

-3y=-774

y=258

x=780-516

x=264

Answer:

Its 5 units why its simple X and Y is in a strait line which mean you measure it and divide it by 3.14 which is pie you get your answer.

Step-by-step explanation:

mark brain if im correct :D

Answer:

l=A/W

Step-by-step explanation:

Example:

Area = 500 m^2

w= 10m

L= Area/ W

L=500/10

L=50

To check this

A= L*W

500=50*10

Answer:

[tex] - \sqrt{ - (2 \times 2 \times 2 \times 2 \times 3)} [/tex]

[tex]4 \sqrt{ - 3} [/tex]

hope it's helps

answer is B)-4root3

Answer:

[tex]-4i\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{-1} =i[/tex]

[tex]\sqrt{a} \sqrt{b} =\sqrt{ab}[/tex]

[tex]-\sqrt{-48} =-\sqrt{-1} \sqrt{48} =-i\sqrt{16} \sqrt{3} =-4i\sqrt{3}[/tex]

The given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

Given that,
An expression is given we have to discuss what the expression 5p + 3 = 15 implies.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
5p + 3 = 15
5p = 15 - 3
p = 12 / 5

Thus, the given expression represents a number whose 5 times is 3 less than 15 which is 12/5.

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Answer:

Answer:it's 654.06I just did the test

Step-by-step explanation:

Answer: 80

Step-by-step explanation:

16, 32, 48, 64, 80

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 75, 80

Answer:

R.I.P

Step-by-step explanation:

goodluck doing that

Answer:  x < -15

Step-by-step explanation:

(-2)*(x) > 30

x < -15  The inequality reverses direction when a negative number is used in the manipulation (we divided by -2).