use the binomial theorem to determine the number of ways 1, 2, 3, and 4 heads can occur when four fair coins are flipped

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Rounded volume: 524 cubic inches.

Step-by-step solution:

The formula for the volume of a sphere is:

Where r is the radius of the sphere.

The radius is half the diameter, therefore it is r=10/2=5

We plug it into the formula and we get:

Then we get:

If we do it in our calculator we get 523.599 that rounded to the nearest whole is 524 cubic inches .

Answer:

11+6i

Step-by-step explanation:

vectors addition

(3+8) +(4i+2i)

11+6i

Answer: c = 2

Step-by-step explanation:

First you write out your equation: 10c + 20 = 40

Next, since the equation is adding, you can subtract 20 the constant on both sides of the equation:

10c + 20 = 40

      - 20    - 20  

The 20s cancel each other out and 40 - 20 is 20.

Our new equation looks like: 10c = 20

Now to find the value of C you are going to divide 10 on both sides because the equation is multiplying.

10c divided by 10 is just c and 20 divided by 10 is 2.

Therefore, you are left with c = 2

hope this helps have a nice day :)

Answer:

Step-by-step explanation:

The equation being shown in the question is the absolute value of x. Absolute values when graphed show up as a V-shaped graph pointing upwards. This is because whatever value is passed as an input will output a positive, regardless of whether the input is positive or negative. Meaning that both 4 and -4 will output 4. That is why the graph is a V-shaped because the outputs repeat for both positive and negative inputs. In this case since the negative is outside the absolute value brackets the positive value given from the absolute value of the input will be turned into a negative. So this will cause the V-shape graph to be reflected across the x-axis. As seen in the attached picture below.

Answer: This is the correct answer
I just took the test. :)

Step-by-step explanation:

Given:

The piecewise function is:

[tex]f(x)=\begin{cases}x+5&x<-2\\x^2+2x+3&x\geq -2\end{cases}[/tex]

To find:

The values of [tex]f(-4),f(-2),f(0),f(3)[/tex].

Solution:

For [tex]x<-2[/tex], the function is

[tex]f(x)=x+5[/tex]

For [tex]x\geq -2[/tex], the function is

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

a) The value of [tex]f(-4)[/tex] is:

[tex]f(-4)=-4+5[/tex]

[tex]f(-4)=1[/tex]

b) The value of [tex]f(-2)[/tex] is:

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

[tex]f(-2)=4-4+3[/tex]

[tex]f(-2)=3[/tex]

c) The value of [tex]f(0)[/tex] is:

[tex]f(0)=(0)^2+2(0)+3[/tex]

[tex]f(0)=0-0+3[/tex]

[tex]f(0)=3[/tex]

d) The value of [tex]f(3)[/tex] is:

[tex]f(3)=(3)^2+2(3)+3[/tex]

[tex]f(3)=9+6+3[/tex]

[tex]f(3)=18[/tex]

Therefore, the required values are [tex]f(-4)=1,f(-2)=3,f(0)=3,f(3)=18[/tex].

Answer:

I think its - 2/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

3x-6 = 33

= 3x = 33 + 6

= 3x = 39

x = 13

Answer: -2.2

Step-by-step explanation:

-10 is the most possible that can be divided by 5, resulting in -2.

The leftover 1 is divided by 5, resulting in .2.

The decimal ends up being -2.2.

Answer:

-2.2 or -1.2

Step-by-step explanation:

When you want to write a decimal as a fraction, you simply divide the numerator with the denominator. So when you divide -11 by five that would be a -2.2. Or if it is -1 1/5 the answer would be -1.2. I cant really tell what that number is.

Answer:

Option C

Step-by-step explanation:

If a line passes through a point, then that point is called a solution to the line's equation. Substituting the x and y values of that solution into the equation will give a true statement. So, to find out which option is correct, we can substitute the x and y values of (-4.5, 10) into each equation and see if the result is a true statement.  

Let's try this with option C. To make things easier, convert -4.5 into decimal form: [tex]-4\frac{1}{2}[/tex]. Substitute [tex]-4\frac{1}{2}[/tex] for x and 10 for y in the equation, then solve:  

[tex]y = -\frac{2}{3} x+7\\\\10 = -\frac{2}{3} (-4\frac{1}{2} )+7\\10 = -\frac{2}{3} (-\frac{9}{2})+7\\10 = 3+7\\10 = 10[/tex]

10 does equal 10, so this is a true statement. Option C is the right answer.

Answer: I don't know if it is multiplication or addition but here are the answers.

Step-by-step explanation:  

$360 * $2.50 * $5.50= 4950

$360 + $ 2.50 + $5.50=368

Answer:

1,000

Step-by-step explanation:

1,300,000 ÷ 1,300 = 1,000

Answer:

695.87 Hz

Step-by-step explanation:

Using the equation for Doppler shift, the frequency of the apparent sound is f' = f(v ± v')/(v ± v") where f = frequency of sound emitted by the plane's engine = 485 Hz, v = speed of sound in air = 330 m/s, v' = speed of crowd(detector) = 0 m/s (since the crowd are stationary) and v" = speed of plane(source) = 100 m/s

So, f' = f(v ± v')/(v ± v")

f' = f(v ± 0)/(v ± v")

f' = fv/(v ± v")

Since the source moves towards the detector, we use a minus a minus sign in the denominator to get a shift upwards in frequency since a shift upwards means the objects are moving closer to each other.

So,

f' = fv/(v - v")

Substituting the values of the variables into the equation, we have

f' = 485 Hz × 330 m/s/(330 m/s - 100 m/s)

f' = 160050 Hzm/s ÷ 230 m/s

f' = 695.87 Hz

Answer:

C.

Step-by-step explanation:

This is the correct answer, because ever since the transit system was made, car rides went down and down.

Answer:

8

Step-by-step explanation:

Area π 1.5^2 = 7.07cm^2

Volume = 56.52 /7  = 8cm

So go for the 4th answer = 8

Answer:

The first one is correct. But why can't they be proven congruent

Step-by-step explanation:

Step-by-step explanation:

here

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

Learn more about algebraic expression :

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Answer:

-4 is x and 3 is y

Step-by-step explanation:

Answer:

X= 67.25

Step-by-step explanation:

4x-35=234

Add 35 to both sides

4x= 269

Divide both sides by 4

X= 67.25

Answer:

x = 67,25

Step-by-step explanation:

Here it is given that,

[tex]\:[/tex]

We can write this matematically as,

[tex]\rightarrow 4x - 35 =234[/tex]

Move the constant to the right,

[tex]\rightarrow 4x =234 + 35[/tex]

Add the numbers,

[tex]\rightarrow 4x =269[/tex]

Divide both sides of the equation by 4,

[tex]\rightarrow x =\frac{269}{4}[/tex]

We determine the value of x,

[tex]\rightarrow \underline {x=67,25}[/tex]

9514 1404 393

Answer:

  B.  (2, 1)

Step-by-step explanation:

As a first guess you might say the right angle will be at the point that has the x-coordinate of A (2) and the y-coordinate of B (1).

You notice that the point (2, 1) is on the list of answer choices, so that is a good choice.

The coordinates of C could be (2, 1).

__

Or, you can plot the points and see what forms a right triangle.

A factor of a number that, when multiplied by itself, gives the original number is called a square root.

The square root of 3 is 9.

The integer that has the nearest to the integer that has a square root of 3 is √10.

A factor of a number that, when multiplied by itself, gives the original number.

We have,

9 is a square root of 3.

The nearest square root of 3 can be 8 or 10.

The value of the square root of 8.

= √8

= 2.83

The value of the square root of 10:

= √10

= 3.16

The nearest can be determined by finding out the difference between each of its values with 3.

For √8,

= 3 - 2.83

= 0.17

For √10,

= 3.16 - 3

= 0.16

We see that √10 is nearest to the integer that has a square root of 3.

Thus the integer that has the nearest to the integer that has a square root of 3 is √10.

Learn more about square roots here:

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Answer:

graph d it's your answer plz make me brainy least

Answer:

d

Step-by-step explanation:

Answer:

The answer is A.) y=-500x+22,000

Answer:

that is the answer 32,712

Step-by-step explanation:

your welcome.

sorry I times it by 54 instead of 58

Answer:

it is B and D

Step-by-step explanation:

mark brainliest or 5 stars and heart

correct me if im wrong

Answer:

B and A

Step-by-step explanation:

Calculate distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

(1) with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 8)

d = [tex]\sqrt{6-0)^2+(8-0)^2}[/tex]

   =  √(6² + 8²)

   = √ (36 + 64)

    = √ 100

     = 10  → B

(2)

Using (x₁, y₁ ) = (- 5, 3) and (x₂, y₂ ) = (3, 15)

d = √ (3 + 5)² + (15 - 3)²

   = √ 8² + 12²

   = √ 64 + 144

    = √ 208

    ≈ 14.4 ( to the nearest tenth ) → A

I hope this helps you

1) DC=60

AD=AC=60/2=30

AB=BC=30/2=15

DB=DA+AB=30+15=45

2) RQT is right triangle we can find the side

6^2+8^2=RT^2

36+64=RT^2

RT=10

Answer:

3 units

Step-by-step explanation:

Here, The distance between two points is 3 units

-TheUnknownScientist

Answer:a.35 degrees b. 145 degrees

Step-by-step explanation: angle 2 and angle 6 are equal they are corresponding

Angle 2 and angle 8 are supplementary they equal 180. So 180-35=145