Find the probability that there are no T when a fair coin is flipped three times.

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

\((-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)\)

Putting the x-coordinates in (1),

\(-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7\)

Similarly, putting the y-coordinates in (1),

\(2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2\)

Hence, the coordinates of B are (-7,-2).

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Answer: A polynomial is an algebraic expression with 1, 2 or 3 variables, whereas, a multinomial is a type of polynomial with 4 or more variables.

Step-by-step explanation:

Answer:

Answer is A

Step-by-step explanation:

The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.

Answer:

A) y=-5/6+1

Step-by-step explanation:

You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:

y=-5/6x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(6,-4). When x of the line is 6, y of the line must be -4.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).

So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.

(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.

The equation of the line that passes through the point (6,-4) with a slope of -5/6

is

y=-5/6x+1

Answer:  127.2

Step-by-step explanation: 1⁄2(a × b) + 3⁄2(b × s) is the formula for triangular pyramids. When you follow this formula for triangular pyramids, you will always get these correct.

Answer:

i forgot my answer this was my last weak module why am i so forgetfull

umm

127.2

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

Answer:

answer is c

Step-by-step explanation:

oranges in Paris are three cups and grapes and apples are about two cups. (1 11/12 cups to be exact)

the exact amount of five portions of fruit salad and fraction form is 59 / 60

Answer:

21.5

Step-by-step explanation:

Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.

743₁₆ = 7 • 16² + 4 • 16¹ + 3 • 16⁰

743₁₆ = 1792 + 64 + 3

743₁₆ = 1859

Answer:

7/8

Step-by-step explanation:

assuming the probability of getting a boy and girl is 50 50,

(1/2)^3=1/8

1-1/8=7/8

Answer:

x = 90

Step-by-step explanation:

The given diagram shows a circle with intersecting chords, KM and JL.

To find the value of x, we can use the Angles of Intersecting Chords Theorem.

According to the Angles of Intersecting Chords Theorem, if two chords intersect within a circle, the angle formed at the intersection point is equal to half the sum of the measures of the arcs intercepted by the angle and its corresponding vertical angle.

Let the point of intersection of chords KM and JL be point P.

As the chords are straight lines, angle x° forms a linear pair with angle JPM.

Note: We cannot use the Angles of Intersecting Chords Theorem to find the value of x directly, since we have not been given the measures of the arcs KJ and ML. Therefore, we need to use the theorem to find m∠JPM first.

From inspection of the given diagram:

Using the Angles of Intersecting Chords Theorem, we can calculate the measure of angle JPM (shown in orange on the attached diagram):

\(\begin{aligned}m \angle JPM &=\dfrac{1}{2}\left(m\overset\frown{JM}+m\overset\frown{LK}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+(2x-30)^{\circ}\right)\\\\&=\dfrac{1}{2}\left(30^{\circ}+2x^{\circ}-30^{\circ}\right)\\\\&=\dfrac{1}{2}\left(2x^{\circ}\right)\\\\&=x^{\circ}\end{aligned}\)

As angle JPM forms a linear pair with angle x°, the sum of the two angles equals 180°:

\(\begin{aligned}m \angle JPM+x^{\circ}&=180^{\circ}\\\\x^{\circ}+x^{\circ}&=180^{\circ}\\\\2x^{\circ}&=180^{\circ}\\\\\dfrac{2x^{\circ}}{2}&=\dfrac{180^{\circ}}{2}\\\\x^{\circ}&=90^{\circ}\\\\x&=90\end{aligned}\)

Therefore, the value of x is 90, which means that the two chords intersect at right angles.

The scientific notation of the given number is 1.24×10⁻⁶.

The given number is 0.00000124.

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

Here, 0.00000124=1.24×10⁻⁶.

Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.

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The distance across the lot, or the altitude of the trapezoid, is 60 feet.

Let's denote the length of the shorter base by x, and the length of the longer base by y. Then, we can use the formula for the area of a trapezoid:

Area = (x + y) * h / 2,

where h is the altitude (distance across the lot) and Area is given as 8,400 square feet.

We also know that the sum of the bases is 280 feet, so x + y = 280.

Now we can solve for h:

h = 2 x  Area / (x + y)

Substituting the given values, we get:

h = 2 x  8,400 / 280 = 60 feet.

Therefore, the distance across the lot, or the altitude of the trapezoid, is 60 feet.

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$14.40. And then you have the tax. :D

Have A Great Day.

The cost of 2 dozen pens will be "$14.4".

Given:

Cost of 6 pens,

As we know,

then,

                        = \(24\)

Now,

→ The cost of 1 pen will be:

= \(\frac{3.60}{6}\)

= \(0.6\) ($)

hence,

→ The cost of 24 pens (2 dozen) will be:

= \(0.6\times 24\)

= \(14.4\) ($)

Thus the above solution is right.

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Answer: this is hard

Step-by-step explanation:

Answer:

7a+2b-3c

Step-by-step explanation:

6a+a = 7a

2b stays the same

-3c stays the same

Answer:

Hey mate, here is your answer. Hope it helps you.

7a-3c+2b

Step-by-step explanation:

6a+a-3c+2b

=7a-3c+2b

3c and 2b will be the same because the variables are different. They are not like terms.

Answer:

\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1} = +\infty\)

Step-by-step explanation:

From the graph, we can see that:

\(\displaystyle \lim_{x \to 2} f(x)= -1\)

From direct substitution, we have that:

\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1}\Rightarrow \frac{(2)}{-1+1}\)

Evaluate:

\(\displaystyle = \frac{2}{0}=\text{Und.}\)

Saying undefined (or unbounded) would be correct.

However, note that as x approaches two, the value of y decreases in order to get to negative one. In other words, our function f will always be greater or equal to negative one (you can also see this from the graph). This means that as x approaches two, f(x) will approach -0.99, -0.999 and -0.9999 and so on until it reaches negative one and then go back up. Importantly, because of this, we can state that:

\(\displaystyle \lim_{x \to 2} \frac{x}{f(x)+1}=\frac{(2)}{-1+1} = +\infty\)

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

Answer:

54

Step-by-step explanation:

equilateral triangle= 2 angles equal

180-72=108

108/2 =54

x=54

Answer:

a)  initial height = 0 m

b)  8 s

c)  vertex = (4, 32)

    maximum height = 32 m

Step-by-step explanation:

Given equation:

\(h=-2t^2+16t\)

where:

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

\(\implies h=-2(0)^2+16(0)\)

\(\implies h=0\)

Therefore, the initial height of the arrow is 0 m.

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

\(\implies -2t^2+16t=0\)

Factor out -2t:

\(\implies -2t(t-8)=0\)

Therefore:

\(\implies -2t=0 \implies t=0\)

And:

\(\implies t-8=0 \implies t=8\)

Therefore, the arrow will hit the ground at 8 seconds.

The vertex is the turning point of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is negative, the parabola opens downwards and so its vertex is its maximum point.

There are different ways to find the vertex of a parabola. The easiest way to find the x-coordinate is by calculating the midpoint of the x-intercepts.

We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds.  Therefore, t = 0 and t = 8 are the x-intercepts.  The midpoint is halfway between zero and 8, so the midpoint is t = 4

To find the y-coordinate, substitute t = 4 into the equation and solve for h:

\(\implies h=-2(4)^2+16(4)\)

\(\implies h=-32+64\)

\(\implies h=32\)

Therefore, the coordinates of the vertex are (4, 32)

The maximum height is the y-coordinate of the vertex.

Therefore, the maximum height is 32 m

Answer:

37

-----

56

Step-by-step explanation:

Answer:

The area of the sector is;

Explanation:

The Area of a sector can be calculated using the formula;

Where:

A = area of the sector

Angle theta = the angle bounding the sector

r = radius

Given:

substituting the given values, we have;

Therefore, the area of the sector is;

Answer:

4,12,36,108,324.....

Step-by-step explanation:

The sequence represented by the equation \(a=4(3)^{n-1}\)is a geometric sequence with first term 5 and common ratio 3. The first 4 terms of the sequence are:

\(a_1 = 4(3)^{1-1} =4(3)^0 = 4\)

\(a_2 =4(3)^{2-1} = 4(3)^1 = 12\)

\(a_3 =4(3)^{3-1} = 4(3)^2 = 36\)

\(a_4 = 4(3)^{4-1} =4(3)^3 = 108\)

\(a_5=4(3)^{5-1} =4(3)^4=324\)

The sequence can be written as:

\(a_n = 4(3)^{n-1}\)

where n is the term number.

Therefore, the sequence is 4,12,36,108,324.....

Answer:

The answer is 4,12,36,108,324

Step-by-step Explanation:

a1=4(3)¹‐¹=4(3)⁰=4

a2=4(3)²‐¹=4×3=12

a3=4(3)³‐¹=4(3)²=4×9=36

a4=4(3)⁴‐¹=4(3)³=4×27=108

a5=4(3)⁵‐¹=4(3)⁴=4×81=324

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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Answer:

1

Step-by-step explanation:

So when we raise a number to the zeroth power, that means we multiply the number by itself zero times - but that means we're not multiplying anything at all! ... In short, 0 is the only number such that for any number x, x + 0 = x

Answer:

Hi there! The answer to this question is 1.

Hope this helps :D

Using Pythagorean theorem, the length of the ladder is 10ft

In mathematical terms, if y and z are the lengths of the two shorter sides (also known as the legs) of a right triangle, and x is the length of the hypotenuse, the Pythagorean theorem can be expressed as:

x² = y² + z²

In the questions given, the only one we can use Pythagorean theorem to solve is the one with ladder since it's forms a right-angle triangle.

To calculate the length of the ladder, we can write the formula as;

x² = 8² + 6²

x² = 64 + 36

x² = 100

x = √100

x = 10

The length of the ladder is 10 feet

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Answer:

x = 19

Step-by-step explanation:

Assuming the question was (5x + 4)° (8x – 71)°=180° not (5x + 4)° (8x – 710°,

Simplifying

(5x + 4) + (8x + -71) = 180

Reorder the terms:

(4 + 5x) + (8x + -71) = 180

Remove parenthesis around (4 + 5x)

4 + 5x + (8x + -71) = 180

Reorder the terms:

4 + 5x + (-71 + 8x) = 180

Remove parenthesis around (-71 + 8x)

4 + 5x + -71 + 8x = 180

Reorder the terms:

4 + -71 + 5x + 8x = 180

Combine like terms: 4 + -71 = -67

-67 + 5x + 8x = 180

Combine like terms: 5x + 8x = 13x

-67 + 13x = 180

Solving

-67 + 13x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '67' to each side of the equation.

-67 + 67 + 13x = 180 + 67

Combine like terms: -67 + 67 = 0

0 + 13x = 180 + 67

13x = 180 + 67

Combine like terms: 180 + 67 = 247

13x = 247

Divide each side by '13'.

x = 19

Simplifying

x = 19

Answer:

23 + 2n

Step-by-step explanation:

Hello!

"Twice a number" can be represented as 2 times n, or 2n

"The sum of 23 and twice a number" can be shown as 23 + 2n, given that twice a number is 2n.

Other common phrases in algebra:

The simplified value of (2x - 4)² is 4x² - 16x + 16.

First, let us understand the algebraic identities;

Algebraic identities are equations in which the left hand side of the equation is identically equal to the right hand side of the equation.

Some of the identities are:

We are given (2x - 4)².

Use the identity (a - b)² = a² - 2ab + b² to expand to the given expression.

So, a = 2x and b = 4.

Put it into the identity, we will get;

Therefore,

(2x - 4)² = (2x)² - 2 * 2x * 4 + (4)² = 4x² - 16x + 16

Thus, the simplified value of (2x - 4)² is 4x² - 16x + 16.

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Answer:

Step-by-step explanation:

20=total marbles

  7/20 × 6/20=  21/400   or 5.25%

   red     white