You are playing a game in which each player wins, loses, or draws (ties) at each turn. For each turn won, you are awarded 5 points. If you lose the turn, you lose 5 points. If it is a draw, you get 0 points. For the first dozen rounds, you had the following results: win, win, draw, win, lose, lose, win, lose, draw, lose, lose, lose. What was your point total for the rounds?

Answer:

(n-1) / 2

Step-by-step explanation:

We have that the sum has the form of:

Sn = n / 2 [2 * a + (n-1) * d]

we compute the terms of a and d

a = 1 - 1 / n

a = (n - 1) / n

, that is, the first term, in the case d is the subtraction between the second and the first term, thus:

d = 1 - 2 / n - (1 - 1 / n)

d = 1 - 2 / n - 1 + 1 / n

d = - 1 / n

now if replacing these values:

Sn = n / 2 * [2 * (n - 1) / n + (n-1) * (- 1 / n)

Sn = n / 2 * [2 * (n-1) - (n-1)] / n

Sn = 1/2 * (n-1)

Therefore, the value of that sum is (n-1) / 2

Find the area of the triangle and multiply by the length of the prism.

Area = 1/2 x 8x3 = 12 square yds.

Volume = 12 x 6 = 72 cubic yards.

Answer:

The price before the increase was £21.20

Step-by-step explanation:

Now, let the former price before the increment be £x

The increment would be 22-x

Mathematically, the percentage increment = difference between the prices/old price * 100%

Thus, we have(

(22-x)/x * 100 = 4

100(22-x) = 4x

2200-100x = 4x

100x + 4x = 2200

104x = 2200

x = 2200/104

x = 21.154

which is x = 21.2 to the nearest penny

Answer:

21.15

Step-by-step explanation:

22 × 10 = 220

100%+4%=104

104 ÷ 10 = 10.4

220 ÷ 10.4 =21.15384615

To the nearest penny it would be 21.15

Answer:

The measurement of ∠3 is 135°

Step-by-step explanation:

In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.

∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.

So, if m∠1 is 135° then the m∠3 is also 135°

Answer:

m∠=135°

Step-by-step explanation:

These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.

Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.

Corresponding angles are congruent, which means they have the same measure.

∠1 and ∠3 are corresponding angles, therefore

∠1=∠3

We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.

135=∠3

The measure of ∠3 is 135 degrees.

Answer: [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex]

Step-by-step explanation:

If we have y=7x-1/2, the inverse is where we solve for x instead of y.

We can isolate x to get 7x=y+1/2, then divide by 7 to get x=y/7+1/14.

Therefore, [tex]f^{-1}(x)=\frac{x}{7}+\frac{1}{14}[/tex].

Hope that helped,

-sirswagger21

Answer:

21

Step-by-step explanation:

−12 − (−25) + 8

Subtracting a negative is like adding

-12 +25+8

First do -12 +25  25-12 = 13  Replace in the equation

13+8

21

Answer:

Yes, the answer is

[tex]21[/tex]

Step-by-step explanation:

we know that,

[tex]( - ) \times ( - ) = ( + )[/tex]

Now let's solve the problem,

[tex] - 12 - ( - 25) + 8 \\ - 12 + 25 + 8 \\ = 21[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Right, Scalene (D and E)

Step-by-step explanation:

One side of the triangle contains a right angle, therefore it is a right triangle

the three sides are all different lengths from each other, making it scalene

Answer:

D. Right

E. Scalene

Step-by-step explanation:

Definitions

Acute: A triangle whose angle measure are all acute angles.

Equilateral: A triangle with all the same side lengths and angle measures.

Obtuse:  A triangle with one obtuse angle and two acute angles.

Right: A triangle who has a right angle and two acute angles.

Scalene: A triangle whose sides are all different lengths

Isosceles: A triangle who has 2 sides the same length and the other different.

Our triangle fits the descriptions of the right triangle and scalene triangle.

Answer:

0

Step-by-step explanation:

Ok use the equation: (Y2 - Y1) / (X2 - X1)

((-2) - (-2)) / ((-9)-(-1))

0/ -8

we know that 0 divided by any number is 0

so slope = 0

Answer:

x = 15

Step-by-step explanation:

AB + BC = AB

3x+5  + 2x+8 = 88

Combine like terms

5x +13 = 88

Subtract 13 from each side

5x+13-13 = 88-13

5x = 75

Divide each side by 5

5x/5 = 75/5

x = 15

Answer:

15

Step-by-step explanation:

AB + BC = AB

3x + 5 + 2x + 8 = 88

5x + 13 = 88

5x = 88 - 13

= 75/5

= 15

Hope this helps!

The solution of the system of equation can be solved by using substitution method. Therefore, the solutions of the system 7x + 3y = -3 and y = -2x is (-3, 6)

7x + 3y = - 3

y = - 2x

Substitute the value of y in equation(i)

Therefore,

7x + 3(- 2x) = -3

7x  - 6x  = -3

x = -3

Let's find y by substituting the value of x in equation(ii)

y = -2x

y = -2(-3)

y = 6

Therefore, the solution set of the equation is (-3, 6)

learn more on system of equation; https://brainly.com/question/1632711

Answer:

47/73

Step-by-step explanation:

There are 73 people who like tea. 47 are women, 26 are men. This means that the probabili that the person chosen is a women is 47 out of the 73.

Answer:

Her average speed is 94 km/h

Time taken is 3.5 hours

Step-by-step explanation:

Let Evan’s average speed be x km/h.

now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h

Mathematically, time = distance/speed

so; since time is the same; we have

308/x = 329/(x + 6)

cross multiply

329(x) = 308(x + 6)

329x = 308x + 1848

329x-308x = 1848

21x = 1848

x = 1848/21

x = 88 km/h

Meghan average speed = x + 6 = 88 + 6 = 94 km/h

Time taken would be 329/94 = 3.5 hours

Answer:

The satisfied table of the given function[tex]y = log_{b} (x)[/tex]

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

Step-by-step explanation:

Explanation :-

Given logarithmic function [tex]y = log_{b} (x)[/tex]   if b >1

Given first table

i)

put x = [tex]\frac{1}{8}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{8} )[/tex]

[tex]y = log_{2} (2^{-3} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-3} ) = -3 log_{2} (2) = -3 (1) = -3[/tex]

y = -3

ii)

put x = [tex]\frac{1}{4}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{4} )[/tex]

[tex]y = log_{2} (2^{-2} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-2} ) = -2 log_{2} (2) = -2 (1) = -2[/tex]

y = -2

iii)

put x = [tex]\frac{1}{2}[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (\frac{1}{2} )[/tex]

[tex]y = log_{2} (2^{-1} )[/tex]

we will apply logarithmic formula

log x ⁿ = n log (x)

[tex]y = log_{2} (2^{-1} ) = -1 log_{2} (2) = - (1) = -1[/tex]

y = -1

iv)

put x = 1     given b > 1 so we can choose b = 2

[tex]y = log_{2} (1 )[/tex] = 0

y = 0

v)

put x = [tex]2[/tex]     given b > 1 so we can choose b = 2

[tex]y = log_{2} (2 )[/tex]

y = 1

Final answer:-

The satisfied table of the given function

x                    1/8            1/4             1/2              1             2

y                    -3                 -2            -1               0               1

The first option is correct because that table of values represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Given:

The lograrithmic function form is [tex]y=\log_b x,b>1[/tex].

To find:

The table of values that represents the graph of a logarithmic function in the form [tex]y=\log_b x,b>1[/tex].

Explanation:

It is given that [tex]b>1[/tex]. Let [tex]b=2[/tex], then

[tex]y=\log_2 x[/tex]          ...(i)

Substitute [tex]x=\dfrac{1}{8}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{8}[/tex]

[tex]y=\log_2 \dfrac{1}{2^3}[/tex]

[tex]y=\log_2 2^{-3}[/tex]

[tex]y=-3[/tex]

Substitute [tex]x=\dfrac{1}{4}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{4}[/tex]

[tex]y=\log_2 \dfrac{1}{2^2}[/tex]

[tex]y=\log_2 2^{-2}[/tex]

[tex]y=-2[/tex]

Substitute [tex]x=\dfrac{1}{2}[/tex] in (i), we get

[tex]y=\log_2 \dfrac{1}{2}[/tex]

[tex]y=\log_2 2^{-1}[/tex]

[tex]y=-1[/tex]

Substitute [tex]x=1[/tex] in (i), we get

[tex]y=\log_2 1[/tex]

[tex]y=0[/tex]

Substitute [tex]x=2[/tex] in (i), we get

[tex]y=\log_2 2[/tex]

[tex]y=1[/tex]

The table of values is:

[tex]x[/tex]     [tex]y[/tex]

[tex]\dfrac{1}{8}[/tex]     [tex]-3[/tex]

[tex]\dfrac{1}{4}[/tex]     [tex]-2[/tex]

[tex]\dfrac{1}{2}[/tex]     [tex]-1[/tex]

[tex]1[/tex]     [tex]0[/tex]

[tex]2[/tex]     [tex]1[/tex]

Therefore, the first option is correct.

Learn more:

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Answer:

2880 minutes are in two days

Answer:

z, y and x

Step-by-step explanation:

Now, to answer this question, what we must know is that the side facing the largest angle is the largest while the side facing the smallest is the smallest.

What i’m saying in essence is that the bigger the angle faced, the larger the side.

Now since we have 3 angles in a triangle that adds up to 180

we have 27 and 48 already, the third side would be 180-27-48 = 105

So which side faces which angle?

Let’s have a diagrammatic representation of the said triangle.

Check this in the attachment please

The longest side is thus z, followed by y and lastly x

The measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).

Given data;

m∠X = 27°

m∠Y = 48°

The sum of the angle of the triangle is 180°

m∠X+m∠Y+m∠Z = 180°

27° +48° + m∠Z  =  180°

m∠Z = 105°

The order of the angle measurement;

m∠Z > m∠Y > m∠X

Hence, the measure of the angle from shortest to longest will be ∠z, ∠y, and ∠x.

To learn more about the angle measurement, refer to the link;

https://brainly.com/question/14684647

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Answer:

A= 61

B=119

Step by step:

a; interior angle

180-(27+92)

=180(119)

=61

b; exterior angle

180-61

=119

Answer: 61 and 119

Step-by-step explanation:

Answer:

positive

Step-by-step explanation:

negative and negative = positive

positive and positive = positive

positive and negative  = negative

negative and positive = negative

hope u got what u needed

Answer:

The correct answer is positive

Step-by-step explanation:

Negitive x Negitive = Positive

Positive x Positive = Positive

Negitive x Postive = Negitive

Positive x Negitive = Negitive

This should help you for next time you have a question like this.

I hope this helps.

Answer:

5 units

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

30 = 1/2 (12)h

Multiply

30 = 6h

Divide each side by 6

30/6 = 6h/6

5 = h

Answer:

5 units

Step-by-step explanation:

Next time please supply the formula, which was apparently given in this question:

A = (1/2)(base)(height)

Here, A = 30 units^2 = (1/2)(12 units)(height), or

                30 units^2 = (6 units)(height)

Solving for (height), we get

                 30 units^2

(height) = ------------------ = 5 units

                   6 units

The height is 5 units

Answer:

So to get the answer we need to find both of the rays. So first we need to find the end points for the horizontal one. That would be D and E for the horizontal. Those are points, do the same for the diagonal one. AC would be it. AC and DE would be the answer

Answer:

16? maybe

Step-by-step explanation:

i justed counted from 9 to 25,l

Answer:

8 or 17

Step-by-step explanation:

The system of equations for this is:

x = 9 + y

x + y = 25

Find the value of y by plugging the first equation into the second.

9 + y + y = 25

9 + 2y = 25

2y = 16

y = 8

One of the numbers is 8.

OR

Find the value of x by plugging the value of y into one o the equations.

x = 9 + 8

x = 17

or

x + 8 = 25

x = 17  

One of the numbers is 17.

Answer:

-55/8, 61/8, x=47/24

Step-by-step explanation:

not sure if you meant f(25/6) or f(2 5/6), I just assumed it was the second one

but basically just sub in the value into the eqn given

Answer:

[tex](4x + 11) + (12x + 2) =(4x + 12x) + (2 + 11) = 16x + 13[/tex]

Step-by-step explanation:

Answer = a. 16x+13

Answer: Yes there is

Step-by-step explanation:

look bro your trying to get a total of 180 degrees

you already got 72 and 53 degrees

so add the two numbers and then subtract it from 180 degrees

thats 180 degrees minus 125 degrees

your missing point is 55 degrees

Answer:

(x+2)²+1

Step-by-step explanation:

because the graph we know that gx is (x+2)²+1

Answer:

x < 6.5

y < -1.5

Step-by-step explanation:

y > x - 8

Therefore x < y + 8

y < 5 - x

Therefore x < 5 - y

2x < 13

x < 6.5

6.5 < 5 - y

y < -1.5

Answer:

Step-by-step explanation:

55x + 70y = 1480

x + y = 25

55x + 70y = 1480

-55x -55y = -1375

15y = 105

y = 7 VIP tickets sold

x + 7 = 25

x = 18 general admission tickets

(18,7)