..........................

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

The probability for a flip on either side of the coin is always 50% or [tex]\frac{1}{2}[/tex]

So to get the probability for the three flips just do:

[tex](\frac{1}{2}) ^{3}[/tex]  or [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex]

Either way you solve it the answer is [tex]\frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

a₁ = 4 = 2² = (1 + 1)²

a₂ = 9 = 3² = (2 + 1)²

a₃ = 16 = 4² = (3 + 1)²

a₄ = 25 = 5² = (4 + 1)²

a₅ = 36 = 6² = (5 + 1)²

Therefore:

               aₙ = (n + 1)² = n² + 2n + 1

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Sides:\ 9cm\ and\ 8cm[/tex]

The question is incomplete, as what is required is not state. However, a possible question could be to determine the possible side length of the third side.

To do this, we make use of the triangle inequality theorem which states that:

Given three sides (a, b and c) of a triangle, the following inequalities exist.

[tex]a + b > c[/tex]

[tex]a + c > b[/tex]

[tex]b + c > a[/tex]

Let a and b represent the two sides such that:

[tex]a = 9[/tex]

[tex]b = 8[/tex]

The inequalities become:

[tex]9 + 8 > c[/tex]

[tex]9 + c > 8[/tex]

[tex]8 + c > 9[/tex]

Solve for c in each:

[tex]9 + 8 > c[/tex]

[tex]17 > c[/tex]

[tex]c < 17[/tex]

[tex]9 + c > 8[/tex]

[tex]c > 8 - 9[/tex]

[tex]c > - 1[/tex]

[tex]8 + c > 9[/tex]

[tex]c >9 - 8[/tex]

[tex]c >1[/tex]

The value of c must be positive, so, we consider;

[tex]c >1[/tex] and [tex]c < 17[/tex]

Rewrite:

[tex]1 < c[/tex] and [tex]c < 17[/tex]

Combine both

[tex]1 < c < 17[/tex]

Hence, the value of c is:

[tex]c = (1,17)[/tex]

Answer:

8.721 x 10^4

Step-by-step explanation:

hope this helps:)

Answer:

y ≤ -2x - 2

Step-by-step explanation:

Slope- intercept form is y = mx + b, m being the slope and b being the y-intercept.

The slope is the rise of the line over the run. We can choose two points that are exactly on the line. Let's try points (-1, 0) and (0, -2). The line slopes down, so we already know the slope is negative. From point (-1, 0), the line goes down 2 units and over 1 unit. So, the slope is -[tex]\frac{2}{1}[/tex]. We can also simply say that the slope is -2.

The line intersects with the y-axis at point (0, -2), so the y-intercept is -2.

Because the shading is on the left side of the line and the line is solid, we can tell that y is less than or equal to -2x - 2. So, the equation is-

y ≤ -2x - 2

Answer:

1/2 ; 7/10

Step-by-step explanation:

1) we have ten letters A, E, I, O, U are five letters, so the odd can be expressed with the fraction 5/10, that can be simplified in 1/2

2) we have 7 non black parts in a total of ten parts, so the odd is 7/10  

Answer:

c^8

Step-by-step explanation:

Expressing the above Mathematically ;

c^5 * c^8 * c^-5

From.rules of indices :

a^x * a^y = a^(x + y)

Therefore, applying the rule of indices ;

c^5 * c^8 * c^-5 = c^(5 + 8 + - 5)

c^5 * c^8 * c^-5 = c^(5 + 8 - 5)

c^5 * c^8 * c^-5 = c^8

Hence,

c^5 * c^8 * c^-5 = c^8

Answer:

quadrant 1 that the graph is mainly in

Answer:

x = 9

x = 1

Step-by-step explanation:

Answer:

3 oz

Step-by-step explanation:

You have to divide 6 by 2 and you'll get the answer.

Answer:

2 haha

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

y=5/3x-8

Slope = 5/3

Y int = (0,-8) or y=-8

Step-by-step explanation:

Answer: 5/3x - 8

Step-by-step explanation:

-3y=24-5x

/3

5x/3 -8

5/3x - 8

Answer:

Step-by-step explanation:

Imagine or draw a triangle with horizontal leg length 8 - (-4), or 12, and vertical leg length |-6 - 2|, or 8.  Use the Pythagorean Theorem to find the length of the hypotenuse:  

length of hypotenuse = +√(8² + 12²) = √208 = 4√13  (Answer A)

Answer:

I'm pretty sure for the percent question the answer would be A because 6% of 40,000 is 2400 and if I multiply that 5 times I get 12000 so I believe its A!

Answer:

The first term in the resulting subtraction expression is 96.

Step-by-step explanation:

Given - After applying the distributive property to the expression 8(12-4) and then multiplying

To find - What will be the first term in the resulting subtraction expression ?

Proof -

Given the expression is -

8( 12 - 4) = 8(12) - 8(4)

              = 96 - 32

⇒8( 12 - 4) = 96 - 32

So,

The first term in the resulting subtraction expression is 96.

Answer:

24 + 121

Step-by-step explanation:

w=wristband.

h=headband

Total wristbands:-

[tex]\\ \sf\longmapsto 12(2)=24[/tex]

Answer:

6 rolls because the total perimeter is 102 ft and five rolls is only 100 feet. So she needs 6 rolls.

Step-by-step explanation:

to find perimeter, add up all the side lengths.

so 15*4 (it's easier than 15+15+15...)

60 ft.

now we have to use Pythagorean's Theorum to find corner to corner.

so [tex]a^2+b^2=c^2[/tex]

we have a and b

[tex]15^2+15^2=c^2[/tex]

do the math...

225+225= 450

square root of 450=

21.213

double that because it's used twice (corner to corner and corner to corner)

42.426

now add it all up

42.426 + 60 = 102.426

we can round

102

20*5 = 100

so she needs 6

MY ORIGINAL ERROR WAS 5, BUT 5 TIMES 20 IS ONLY 80, SO THEREFORE 6 IS REQUIRED SO THERE IS ENOUGH TO COVER 102.

Answer:

Katie needs 6 crepe rolls.

Step-by-step explanation:

Hello!

Katie originally needed ~5.1 crepe rolls, but since its a question on how many rolls she should by, she should get 6.

There are a couple of steps in order to solve this.

Brainly is being weird- so I put an explanation to the problem in the image below- hope it helps!

Answer:

54

Step-by-step explanation:

The square in the middle = 36, as 6x6=36

There are 2 triangles on each side of the center square.

Since the base of the trapezoid is 12, and the base of the square is 6, that leaves 3 for the base of each triangle.

3x6=18x1/2 (As a triangle's area is b (base) x h (height) x (one half) 1/2

18x1/2 is 9.

Each triangle equals 9.

36+9+9=54

The final answer is 54

9514 1404 393

Answer:

  7u -63

Step-by-step explanation:

The distributive property says you can eliminate parentheses by applying the outside factor to each term inside parentheses.

  (u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:

(u -9)7 = (u)(7) +(-9)(7) = 7u -63

Answer:

D 9.5 x 10^-2

Step-by-step explanation:

D becuase it is only 10^-2, the other ones are 10^-3, which is less than 10^-2

9514 1404 393

Answer:

  a.  21

Step-by-step explanation:

The external part of the hypotenuse of the right triangle is shown. The full length of the hypotenuse is 9+20 = 29. The Pythagorean theorem can be used to find x.

  x^2 +20^2 = 29^2

  x^2 = 841 -400

  x = √441

  x = 21

__

Alternate solution

The diameter of the circle is 2·20 = 40 units, so the product of distances from the external vertex to the opposite sides of the circle along the secant is (9)(40+9). The product of the distances along the tangent is x·x. These two products are equal, so ...

  x^2 = 9(49)

  x = (√9)(√49) = 3·7

  x = 21

Answer:

32

Step-by-step explanation:

yr

Answer:

the main hallway should be 12cm in the new drawing

Step-by-step explanation:

Answer:

Add 3 after multiplying 1 and x.

Step-by-step explanation:

In this question we have to convert the given algebraic expression into a verbal expression.

Given algebraic expression is,

y = x + 3

Here, x is multiplied by 1

And 3 is added to x.

Therefore, verbal expression or statement will be,

Add 3 after multiplying 1 and x.

This rule defines the relationship between x and y.

Answer:

350 yd² v. .v

Step-by-step explanation:

your welcome

Answer:

44.4 degrees

Step-by-step explanation:

Given the following

Hypotenuse = 7

Longer leg = 5 (adjacent])

Let the acute angle angle between both sides be x

According to SOH CAH TOA

Cos theta = adj/hyp

Cos x = 5/7

x= arccos (5/7)

x = arccos (0.7143)

x = 44.4degrees

Hence he measure of the acute angle that is included between the longer leg and the hypotenuse is 44.4 degrees

I) what percentage of students finished the race in less than 12 seconds:

number of students who finished before 12 seconds= 16

total number of students= 20

% = (16×100)20 = 80%

ii) B.3

Answer:

number 5 is D

and number 6 is C

Answer:10

Step-by-step explanation: 30/3=10 times, each time taking three minutes to count down