Please help will be marked BRAINLIEST!

Answer:

[tex]\fbox{\begin{minipage}{4em}36 ways\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Re-state the problem in an easier way to set up a permutation problem

"The numbers 1,6,8,13,15,20 can be placed in the circle below, each exactly once, so that the sum of each pair of numbers adjacent in the circle is a multiple of seven"

The series above can be represented again, in form of:

7a + 1, 7b - 1, 7c + 1, 7d - 1, 7e + 1, 7f - 1

with a, b, c, d, e, f are non-negative integers.

=> 3 numbers are multiply of 7 plus 1

=> 3 numbers are multiple of 7 minus 1

Step 2: Perform the counting:

For the 1st number, there are 6 ways to select

To satisfy that each pair of numbers creates a multiple of 7, then:

For the 2nd number, there are 3 ways left to select

For the 3rd number, there are 2 ways left to select

For the 4rd number, there are 2 ways left to select

For the 5th number, there are 1 way left to select

For the 6th number, there are 1 way left to select

=> In total, the number of possible ways to select:

N = 6 x 3 x 2 x 2 x 1 x 1 = 72

However, these numbers are located around a circle, each option is counted twice.

=> The final number of possible ways:

N = 72/2 = 36

Hope this helps!

:)

Answer:

x = log(5) / log(3)

x=1.46497

Step-by-step explanation:

3^x - 5 =0

Add 5 to each side

3^x = 5

Take the log of each side

log 3^x = log 5

We know log a^b = b log (a)

x log (3) = log (5)

Divide side by log (3)

x = log(5) / log(3)

x=1.46497

Answer: Irrational, assuming b is irrational

Step-by-step explanation:

You didnt state what "b" is, but:

Youre dividing "a" by an irrational number. you could do something simple like 4 divided by pi. Youre going to get an irrational number

Answer:

a. 14

b. 28

Step-by-step explanation:

a. ex: (6+3)2 - 4 = 9(2) - 4

18 - 4 = 14

b. ex: 23 + (14 - 4) / 2

Use PEMDAS

P 1st

10

D over A

5

A

28

Hope this helps!

Answer:

[tex] {a}^{6} {b}^{2} [/tex]

solution

[tex] {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

[tex]a^{6}b^{2}[/tex]

Step-by-step explanation:

[tex]a^3 \times b \times a^3 \times b[/tex]

If there are no exponents written, then the exponent is 1.

[tex]a^3 \times b^1 \times a^3 \times b^1[/tex]

When multiplying two powers that have the same base, you can add the exponents.

[tex]a^{3+3} \times b^{1+1}[/tex]

[tex]a^{6} \times b^{2}[/tex]

In parallelogram PQRS, QP is extended to point T and ST is drawn. If ST = SP and m∠R = 130°, what is m∠PST?

Answer: 80°

Step-by-step explanation:

ST = SP and m∠R = 130°

If m∠R = 130°, then,

QPS = 130° ( Opposite angles of a parallelogram are equal)

QPS + SPT = 180° (angle on a staght line)

130° + SPT = 180°

SPT = 180° - 130° = 50°

PTS = SPT = 50° (Base Angle of an isosceles triangle)

m∠PST = 180° - (50° + 50°) (sum of Angle in a triangle)

m∠PST = 80°

Answer:

a = √(b+ 6)

a² = b + 6 (Square both sides)

b = a² - 6 (subtract 6 from both sides)

Answer:

b = a^2 - 6

Step-by-step explanation:

a = sqrt(b+6)

Find the square of both sides

a^2 = (b+6). Open brackets

a^2 = b+6

Subtract 6 from both sides

a^2 - 6 = b + 6 -6

b = a^2 - 6

Answer:

-29m+62n

Step-by-step explanation:

5 (3m+6n)-4 (11m-8m)

15m+30n-44m+30n

15m-44m +32n+30n

-29m +62n

Answer:

D. 160

Step-by-step explanation:

This question asks us to find f(8). Essentially, this asks us to find out what y is when x is equal to 8. In terms of this problem, how many minutes does he practice after 8 days.

We are given the equation:

y=20x

We want to find f(8). Therefore, we must substitute 8 in for x.

y=20(8)

Multiply 20 and 8

y=160

Therefore, f(8) is 160 and D is the correct answer. This means that after 8 days, Emilio practices for 160 minutes.

Answer:

160

Step-by-step explanation:

Answer:

2 : 5

Step-by-step explanation:

700 g : 1.75 kg

Since ratio should be between same units, so we'll convert either g into kg or kg into g. For convenience, kg will be converted to g

700 g : 1.75 kg × 1000

700 g : 1750 g

÷ 50 ÷50

14 : 35

÷7 ÷7

2 : 5

Answer: D 2

Step-by-step explanation: Because slope is the diffrence between the two points y/x which is 6/3 which is equal to 2

Answer:

Slope= 2

Step-by-step explanation:

There are three steps in calculating the slope of a straight line when you are not given its equation.

Step One: Identify two points on the line.

Step Two: Select one to be (x1, y1) and the other to be (x2, y2).

Step Three: Use the slope equation to calculate the slope.

please mark me brainliest :)

Answer:

Step-by-step explanation:

[tex](\sqrt{2}+3)^2=(\sqrt{2})^2 + 6\sqrt{2}+9 = 6\sqrt{2} +9+2=6\sqrt{2}+11[/tex]

hope this helps

Answer:

1.x=(z/4)-y

2.b=(e-cd)/a

Step-by-step explanation:

1.

z=4(x+y)

Divide both sides by 4

z/4=x+y

Subtract y from both sides

(z/4)-y=x

Answer

x=(z/4)-y

2.

ab+cd=e

subtract cd from both sides

ab=e-cd

divide both sides by a

b=(e-cd)/a

Answer

b=(e-cd)/a

Answer:

[tex]1) x = \frac{z}{4} - y[/tex]

[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]

Explanation:

(1) Making x the subject: [tex]4(x + y) = z[/tex]

To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.

The detail procedure is described as following:

    [tex]4(x + y) = z[/tex]

Apply associate property:

<=> [tex]4x + 4y = z[/tex]

Send 4y to the right side (the sign of 4y must be changed from positive to negative):

<=> [tex]4x = z - 4y[/tex]

Divide both sides by 4:

<=> [tex]x = \frac{z}{4} - y[/tex]

(2) Make b the subject: [tex]ab + cd = e[/tex],  applying the similar procedure in part (1):

      [tex]ab + cd = e[/tex]

Send [tex]cd[/tex] to the right side (the sign of

<=> [tex]ab = e - cd[/tex]

Divide both sides by [tex]a[/tex]:

<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]

Hope this helps!

:)

Answer:

The correct answer is (x)² + (y)² = r².

Step-by-step explanation:

The standard equation for a circle is (x - h)² + (y - k)² = r². Since our circle is centered at the origin, or (0, 0), our values for h and k are simply 0 and 0, so there is no need to list these values within the equation.

Now, it is time to determine r, or the radius of the circle. The circle passes through the point (-3, 4), so (-3)² + (4)² = 25², so r = 25.

Therefore, your equation is x² + y² = 25.

Answer:

0.18

Step-by-step explanation:

Given that:

P₁ = $10, P₂ = $20

From the tables Q₁ = 900, Q₂ = 800

Using midpoint method:

Percentage change in quantity = [tex]\frac{Q_2-Q_1}{(Q_1+Q_2)/2} *100\%=\frac{800-900}{(900+800)/2}*100\%= -11.76\%\\[/tex]

Percentage change in price =

[tex]\frac{P_2-P_1}{(P_1+P_2)/2} *100\%=\frac{20-10}{(20+10)/2}*100\%= 66.67\%\\[/tex]

Price of elastic demand = Percentage change in quantity/ Percentage change in price = -11.76% / 66.67% = 0.18

The Price of elastic demand is positive because we took the absolute value and elasticity are always positive

Therefore since Price of elastic demand < 1, the demand is inelastic in this interval.

This means that, along the demand curve between $10 to $20, if the price changes by 1%, the quantity demanded will change by 0.18%. A change in the price will result in a smaller percentage change in the quantity demanded. For example, a 10% increase in the price will result in only a 1.8% decrease in quantity demanded and a 10% decrease in the price will result in only a 1.8% increase in the quantity demanded

Answer:

Step-by-step explanation:

this graph is probably : 2(x+1)^(2)+5:

it was transformed :

vertically stretched by a factor of 2

left 1 unit

up 5 units

from the graph, we can see that the points are (-1, 5) and (-2, 7)

m=(y2-y1)/(x2-x1)

m=(7-5)/(-2-(-1))

m=2/-1

m=-2

Answer:

The median would be found in the middle of the histogram

Step-by-step explanation:

It looks like 70-79, would fall in being the median because it is in the middle and it has the most results. In this case, I think it 70-79.

Hope this helps.

Answer:

70-79

Step-by-step explanation:

I took the test :)

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

a = quadrant 1

b = quadrant 1

c = quadrant 3

d = quadrant 2

e = quadrant 4

f = quadrant 3

g = quadrant 2

h = quadrant 4

Answer:

(0, -1/2)

Step-by-step explanation:

Rewrite this as y = -2x^2.  Because of the negative sign, as well as the fact that y is the dependent variable, we know that the graph of this parabola opens downward.

Comparing y = -2x^2 with

                   y = 4px^2, we see that 4p = -2, or p = -1/2.

The focus of this parabola is below the x-axis:  (0, -1/2).

Answer:

152

Step-by-step explanation:

Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank

Answer:

median

Step-by-step explanation:

the median is literally the middle number--half the numbers are higher, half the numbers are lower.

Answer:

A

Step-by-step explanation:

We can see that the two triangles are similar, and are in a 17:1 ration since 51/3 = 17

Now we can set up the equation

144-x = 17x

adding x to both sides we get

144 = 18x

dividing by 18 we get

x = 8

Now we plug x = 8 back in and get

144-8 = 136

Answer:

C. 5.4

Step-by-step explanation:

Range means highest number minus lowest number.

7.5 - 2.1 = 5.4

[tex]answer =5.4 \\ given \: data = 2.1 , 2.6 , 7.2 , 5.5 ,4.1 , 5.5 ,7.5 , 6.1 \\ range = highest \: score - lowest \: score \\ \: \: \: \: \: \: \: \: = \: 7.5 - 2.1 \\ \: \: \: \: \: = 5.4 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

Correct option: A -> AA postulate

Step-by-step explanation:

In the figure we can see that in triangle ABC we have:

A = 53°

B = 72°

And we can see in the triangle LMN that:

L = 53°

M = 72°

We have two pairs of angles (A - L  and B - M) that are congruent, and therefore we can use the case AA (angle-angle) to affirm that these triangles are similar.

So the correct option is A: AA postulate.

Answer:

Sin 3A = 1

cos 3A = 0

tan 3 A = undefined

Step-by-step explanation:

[tex]\sin A = \frac{1}{2} \\ \therefore \: \sin A = \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree = \frac{1}{2} \bigg) \\ \therefore \: A = 30 \degree \\ \\ now \\ \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\ \\ \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree = \infty [/tex]

Answer: The second endpoint is  (2,6)

Step-by-step explanation:

[tex]\frac{-6 +x}{2}[/tex] = -2  solve for x  

-6 +x = -4

+6        +6

x= 2

[tex]\frac{-6+y}{2} = 0[/tex]  

-6 + y = 0

+6         +6

 y= 6

Answer:

C. 14.75

Step-by-step explanation:

To find mean is fairly easy. All you have to do is add all of the numbers in your data set, and then divide it by the total amount of numbers in the set. So:

12 + 17 + 16 + 10 + 20 + 13 + 14 +14 + 12 + 12 + 19 + 18

Total numbers in the set: 12

All numbers added together: 177

177 / 12 = 14.75

brainliest is always epic :)

Answer:

Step-by-step explanation:

1. First add all the listed numbers which equals to 177

2. Divide 177 by the amount of number given above so there are

12 numbers

So 177÷12= 14.75

Answer is c

Answer: Go and do something :)

Step-by-step explanation:

Get off your phone and get the motivation to fo and find something to do for now :)