11(n – 1) + 35 = 3n find n

Answer:

82.55kg

Step-by-step explanation:

Calculate the total weight of the 19 hockey players: 19*82=1558kg.

Calculate the total weight of new players: 1558+93=1651kg.

The total number of players added is 19+1=20. Calculate the average weight: 1651/20=82.55kg.

Answer:

For the first one,

x=6 and y=16

Step-by-step explanation:

If I think of any more then I will tell you

Answer:

(3, - 9)

Step-by-step explanation:

Differentiate using the power rule

y = a[tex]x^{n}[/tex] , then

[tex]\frac{dy}{dx}[/tex] = na[tex]x^{n-1}[/tex]

Given

y = x² - 6x

[tex]\frac{dy}{dx}[/tex] = 2x - 6

Equate to zero since the measure of gradient is [tex]\frac{dy}{dx}[/tex] , that is

2x - 6 = 0 ( add 6 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Substitute x = 3 into y for corresponding value of y

y = 3² - 6(3) = 9 - 18 = - 9, thus

(3, - 9 ) are the coordinates of the point where the gradient is zero

Answer:

she is paying back 9112.5 R.O

Interest paid back is 2,403.95

Step-by-step explanation:

To find the amount, we use the compound interest formula.

This is given as;

A = I( 1 + r/n)^nt

where A is the amount we are trying to calculate

I is money borrowed = 6709

r is the interest rate = 12 1/3% = 37/3 = 12.33% which is same as 12.33/100 = 0.1233

n is the number of times interest is compounded. We have 15 2 months in 2 and a half years

t is the number of years = 2.5

Plugging these values, we have;

A = 6709(1 + 0.1233/15)^(15)(2.5)

A = 6709(1.0082)^(37.5)

A = 9112.95 R.O

Interest is amount - principal( money borrowed)

9112.95 - 6709 = 2403.95

Answer:

believe its 2x cause 1 was wrong

Answer:

x = 8

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.

please mark me as brainliest :)

Answer:

3, 12, 27 and 300

Step-by-step explanation:

Plug n as 1, 2, 3 and 10.

3(1)² = 3

3(2)² = 12

3(3)² = 27

3(10)² = 300

Answer:

The answer is A B C and E

Step-by-step explanation:

I just took it

The statements are true A, B, C, and E.

The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,

The given data in the problem is;

No of the  students from Midland High = 5

No of the students from Leasburg High= 3

No the students from Cassville High = 6

The statements that are true will be;

A.Order matters in this scenario.

B.There are 2,184 ways to select a first-place,second-place, and third-place winner.

C.The probability that all three winners are from Midland High is 0.0275.

E.The probability that all three winners are from Cassville High is 0.0549

Hence the statements are true A, B, C, and E.

To learn more about the probability refer to the link;

https://brainly.com/question/11234923

Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

Answer:

FBC

Step-by-step explanation:

thats what it says on my sheet

Answer:

14 [tex]u^2[/tex]

Step-by-step explanation:

The attached image shows the diagram of the triangle drawn on the Cartesian plane.

We can see that it has the following measures:

base: [tex]b=7u[/tex]

height: [tex]h=4u[/tex]

the area of a triangle is given by the formula:

[tex]A=\frac{b*h}{2}[/tex]

substituting the values:

[tex]A=\frac{(7u)(4u)}{2}\\ \\A=\frac{28u^2}{2} \\\\A=14u^2[/tex]

the area, in square units, of the triangle is 14

Answer:

12.1 =x

Step-by-step explanation:

Since this is a right triangle, we can use  trig functions

cos theta = adj/ hyp

cos 30 = x/14

14 cos 30 = x

12.12435565 =x

12.1 =x

Answer:

The correct option is;

A. a shaded region below a solid boundary line

Step-by-step explanation:

The parameters given are;

The equation, y ≤ 2x - 1

We compare the above equation with the equation for a straight line, y = m·x + c to get

The slope m = 2

The y-intercept c = -1

Therefore, we have;

The graph of an inequality of a y value which is less than or equal to a function is represented by a solid line having the shaded region, which shows the area that satisfies the inequality, shaded below the line

Which gives the correct option as A. A shaded region below a solid boundary line.

Answer:

y = -3x + 4

Step-by-step explanation:

Slope intercept form:

y = mx + b

Slope = y2 - y1/x2 - x1

-2 - 4/2-0 = slope

slope = -6/2  or  -3

Equation:

y = -3x + 4

Answer:

[tex]y = 4x-3[/tex]

Step-by-step explanation:

y-intercept = b = 4 (because x becomes zero here)

Now, Finding the slope:

Slope = m = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{-2-4}{2-0}[/tex]

Slope = [tex]\frac{-6}{2}[/tex]

Slope = -3

Now putting m and b in the slope intercept equation to get the required form:

=> [tex]y = mx+b[/tex]

=> [tex]y = 4x-3[/tex]

Answer:

3.98 cm

Step-by-step explanation:

V= πr²h

V= 200 cm³, r= 4 cm, h=?

h= V/(πr²)= 200/(3.14*4²)= 3.98 cm

Answer:

radius x radius x pi = area of circle

6 x 6 = 36

36 x 3.14 = 113.04

113.04

Hope this helps

Step-by-step explanation:

Answer:

[tex](2, 17)[/tex]

Step-by-step explanation:

A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]

In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]

where

[tex]a=1[/tex]

[tex]b=-4[/tex]

[tex]c=21[/tex]

the vertex of a parabola is in the coordinates:

[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]

substituting all of the known values, we get the following:

[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]

the vertex of  [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.

Answer:

2,17

Step-by-step explanation:

Step-by-step explanation:

I hope you understand what I did

Answer:

Step-by-step explanation:

Katie gets 32/8 = 4 lots of sweets

Pavel gets 4 lots x 3 = 12 sweets

Answer:

Height of building is 57.12 m.

Step-by-step explanation:

Let us try to understand the given dimensions as per the attached diagram.

Please refer to attached image (Right angled [tex]\triangle OBT[/tex])

with [tex]\angle B =90^\circ[/tex]

Let O be the point where the Surveyor is standing.

B be the point of the base of building.

T be the point of top of building.

As per question statement,

[tex]\angle O = 55^\circ[/tex]

Side OB = 40 m

To find: Side BT = ?

Using tangent trigonometric identity:

[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]

[tex]tanO =\dfrac{BT}{BO}\\\Rightarrow tan55^\circ = \dfrac{BT}{40}\\\Rightarrow BT = tan55^\circ \times 40\\\Rightarrow BT = 1.43\times 40\\\Rightarrow BT = 57.12 m[/tex]

So, height of building is 57.12 m.

Answer:

Step-by-step explanation:

If you know the angle in radians, then the length of the arc is

(measure of the angle in radians) x (radius of the circle) .

In this circle, we know the angle and we know the radius.

Arc AB = ( π/4) x (16")

Arc AB = 4π inches

Arc AB =  about 12.566... inches

Answer:

6 pie correct on edge

Step-by-step explanation:

Answer:

That is already at its simplest form.

Step-by-step explanation:

(y + 1)(y + 1) or (y + 1)² is the factored form of y² + 2y + 1. You cannot break it down any further after you reached binomials after you factor unless you are solving for x.

Answer:

436

Step-by-step explanation:

[tex]45-29\times 16 + 875-20= \\\\45-464+875-20= \\\\-419+855=\\\\436[/tex]

Hope this helps!

Answer:

The slope of the line is 2.

Step-by-step explanation:

The data provided is as follows:

x : 0   1    2    3

y : 2   4   6    8

The formula to compute the slope of a line is:

[tex]\text{Slope} &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}[/tex]

Compute the required values in Excel as shown below.

Compute the value of slope as follows:

[tex]b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} \\\\= \frac{ 4 \cdot 40 - 6 \cdot 20 }{ 4 \cdot 14 - \left( 6 \right)^2} \\\\= 2\end{aligned}[/tex]

Thus, the slope of the line is 2.

Answer:

[tex](C) \dfrac{x+3}{x}[/tex]

Step-by-step explanation:

We want to determine an  equivalent expression to:

[tex]\dfrac{x}{x-3} \div \dfrac{x^2}{x^2-9}[/tex]

Step 1: Factorise [tex]x^2-9[/tex] using the difference of two squares.

[tex]x^2-9=x^2-3^2=(x-3)(x+3)[/tex]

Step 2: Change the division sign to multiplication

[tex]\dfrac{x}{x-3} \times \dfrac{(x-3)(x+3)}{x^2}[/tex]

Step 3: Cancel out common terms and simplify

[tex]= \dfrac{x+3}{x}[/tex]

The correct option is C.

The expression equivalent to given expression is [tex]\frac{x+3}{3}[/tex]

Given expression is,

                        [tex]\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}[/tex]

Use factorization,   [tex]x^{2} -9=(x-3)(x+3)[/tex]

Now simplify the given expression.

                       [tex]\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}\\\\=\frac{x}{x-3}*\frac{(x-3)(x+3)}{x^{2} } \\\\=\frac{x+3}{x}[/tex]

Hence, the expression equivalent to given expression is [tex]\frac{x+3}{3}[/tex]

Learn more:

https://brainly.com/question/1280754

Answer: 9

Step-by-step explanation:

To find the perimeter of the Triangle, add all 3 sides together

So 2x + 3x + 4x = 81

9x = 81

Divide both sides by 9

x=9

Answer:

  C, D

Step-by-step explanation:

Any rigid transformation (rotation, translation, reflection) will result in a congruent polygon. To make a similar (smaller) polygon, a dilation by a factor less than 1 must be used.

C. a dilation about the origin by a scale factor of 2/3 followed by a rotation of 90° counterclockwise about the origin and a translation 5 units left

D. a dilation about the origin by a scale factor of 5/7 followed by a reflection over the y–axis and a dilation about the origin by a scale factor of 3/4

Answer:

c and something is not d

Step-by-step explanation:

Answer: √3/3

Step-by-step explanation:

√1/3 = 1/√3 x √3 / √3

= √3/3

Answer:

±1/√3

Step-by-step explanation:

=> [tex]\sqrt{\frac{1}{3} }[/tex]

=> [tex]\frac{\sqrt{1} }{\sqrt{3} }[/tex]

√1 = ±1

=> ±1/√3

Answer:  The sum of the numbers is 3x + 12

Step-by-step explanation: A brief explanation of an arithmetic progression would be useful for a start.

An arithmetic progression (also known as arithmetic sequence) is series of consecutive numbers in which every term in the entire series is determined by adding a common difference to the previous term. In other words, if x and y are two successive numbers in an arithmetic term, y can be determined by adding the common difference to x. Similarly, the term that comes after y is determined by adding the same common difference to y.

As stated in the question, the numbers x, y and z are successive terms of an arithmetic progression, and the common difference is given as 4. This simply means;

y = x + 4

z = y + 4

z = (x + 4) + 4

z = x + 8

The terms x, y and z can now be re-written as follows,

x, x + 4, and x + 8

The sum of these numbers therefore is derived as,

Sum = x + x + 4 + x + 8

Sum = 3x + 12