You ask four people to the prom. If X is the number of "yes" responses, what is E(X)? Assume equal probability for
"yes" and "no" response.

Solving the trigonometric equations, the times at which the pendulum's movement will be 8 meters from its starting position are of:

[tex]x = 8\pi + 16n\pi[/tex] seconds.

It is given by:

[tex]f(x) = -4\cos{\frac{x}{8}} + 4[/tex]

It is 8 meters from its starting position when f(x) = 8, hence:

[tex]f(x) = -4\cos{\frac{x}{8}} + 4[/tex]

[tex]8 = -4\cos{\frac{x}{8}} + 4[/tex]

[tex]4 = -4\cos{\frac{x}{8}}[/tex]

[tex]\cos{\frac{x}{8}} = -1[/tex]

We have that:

[tex]\cos{x} = -1 \rightarrow x = \pi + 2n\pi[/tex]

Hence:

[tex]\frac{x}{8} = \pi + 2n\pi[/tex]

[tex]x = 8\pi + 16n\pi[/tex] seconds.

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The measure of all three angles is 81, 49.5 and 49.5 degrees.

According to the angle sum property of a triangle, the sum of all three interior angles of a triangle is 180 degrees. A triangle is a closed figure formed by three line segments, consisting of interior as well as exterior angles.

The angle sum property formula for any polygon is expressed as, S = (n − 2) × 180°, where 'n' represents the number of sides in the polygon. This property of a polygon states that the sum of the interior angles in a polygon can be found with the help of the number of triangles that can be formed inside it.

Given:

The triangle is isosceles which has two sides equal.

Also Two angles equals.

Let the equal angles are x.

third angle= 81 degree

Now, Using Angle Sum property

x+ +x + 81 = 180

2x= 180-81

2x= 99

x= 99/2

x= 49.5 degrees

Hence, the two smaller angles are 49.5 degrees.

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Answer: B: 24%

Step-by-step explanation:

Considering the given focus and directrix, the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

The equation of a parabola, with a directrix in y, is:

[tex]y - k = a(x - h)^2[/tex]

In which:

In this problem, we have that the x-coordinate of the vertex is h = 0.

From the focus and the directrix, we have that:

k+C = -9.5

k - c = 9.5.

Hence k = 0, C = -9.5 = a = 0.25C = -2.375.

Thus the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

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The area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².

Area of a quadrant = 1/4 × area of a circle = 1/4 × πr²

The figure has been partitioned into A, B, C to E.

The area of the shaded region = A + B

Step 1: Find the area of A:

Area of A = area of the square formed by D, A, and C - area of D + area of C.

Area of D = area of square - area of quadrant formed by A and C

Area of D = s² - 1/4 × πr² = 2² - 1/4 × π(2)²

Area of D = 0.86 ft²

Area D = area of C = 0.86 ft²

Area of D + area of C = 2(0.86) = 1.72 ft²

Area of A = 4 - 1.72 = 2.28 ft²

Step 2: Find the area of quadrants E and F

Area of quadrants E and F = 2(1/4 × πr²) = 2(1/4 × (3.14)(2)²)

Area of quadrants E and F = 6.28 ft².

Step 3: Find the area of B

Area of B = area of the biggest quadrant - area of quadrants E and F + area of square formed by D, A, and C

Area of B = 1/4 × πr² - 6.28 + 4

Area of B = 1/4 × π(4²) - 10.28

Area of B = 2.29 ft².

Step 4: Find the area of the shaded region

Area of the shaded region = A + B = 2.28 + 2.29

Area of the shaded region = 4.57 ft².

In conclusion, the area of the shaded region in the given quadrant, to the nearest hundredth is: 4.57 ft².

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Answer: His temperature is 99°F

Step-by-step explanation:

Let's state what we know:

Steve's temperature was initially 102°F

Later it dropped 3°F lower

Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now

102-3=99

Answer:

A "zero" of a polynomial is a value of x at which the polynomial, when evaluated, is equal to zero. Since (−x)4=(−1)4x4=x4 ( − x ) 4 = ( − 1 ) 4 x 4 = x 4 , the zero 0 has multiplicity 4 .

...

Most secured loans are not high-interest loans and they are usually backed by collateral.

Secured loans demand the borrower to dedicate an asset or security as an assurance or collateral for the loan in order to get it.

For example:

Secured loans are often long-term loans; e.g, the average period of a house loan is 30 years, whereas vehicle loans run 4-5 years.

These kinds of loans are often repaid in monthly installments and have low-interest rates.

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Answer:

5

Step-by-step explanation:

cup of Chex mix needed for 4 servings =  [tex]\frac{1}{3}[/tex]

cup of Chex mix needed for 1 servings = [tex]\frac{1}{3}*\frac{1}{4} =\frac{1}{12}[/tex]

cup of Chex mix needed for 60 servings = [tex]\frac{1}{12}*60=5[/tex]

Answer:

subtract 75 out of 636.75 then once you get that answer divided it by 100 to get the percentage

The function p(x) = x-3/2x-6 is a polynomial function, and the value of p(3) is undefined

The function is given as:

P(x) = x - 3/2x- 6

Set x = 3

P(3) = 3 - 3/2(3)- 6

Evaluate the difference

P(3) =0/0

A division by 0 is undefined

Hence, the value of p(3) is undefined

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Answer:

Step-by-step explanation:

44/8

= 5 whole 4 by 8

= 5 4/8

Answer:

5/2 = 2.5

Step-by-step explanation:

Answer:

  276 ft²

Step-by-step explanation:

The total surface area of a prism is the sum of its lateral area and the area of its bases. Here, the bases are two triangles, and the area of the sides is that of three rectangles.

The area of a triangle is given by the formula ...

  A = 1/2bh . . . . where b is the base of the triangle, h is its height

We have two identical triangles, so their total area will be ...

  A = 2(1/2bh) = bh = (8 ft)(3 ft) = 24 ft²

The sides of the prism are rectangles, all with the same length: 14 ft. Their total area will be that length multiplied by the total of the rectangle widths. That total is the same as the perimeter of the triangular base:

  P = 5 ft + 5 ft + 8 ft = 18 ft

Then the lateral area is ...

  lateral area = Ph = (18 ft)(14 ft) = 252 ft²

The sum of the base area and lateral area is ...

  (24 ft²) +(252 ft²) = 276 ft² . . . . area of the triangular prism

Answer:

x=16, y=26, z=13

Step-by-step explanation:

opposite angles are congruent so (3x+30)=(4x+14)

Solve for x

x=16

adjacent sides are supplementary so insert x in both equations just to make sure it is correct and you get 78

so 3y=78 and 6z=78

solve for y and z

y=26, z=13

Step-by-step explanation:

the decay or "half-life" of radioactive particles is really a big joke by nature, in my opinion.

it takes that much time for half of the amount to decay, so, naturally, one wound assume that after a second interval then the other half is gone.

but far from it. no, only the half of the originally remaining half is then gone (the half of a half is 1/2 × 1/2 = 1/4). and after another interval the half of the half of the half is then gone. and so on.

so, this creates a geometric sequence with the common factor (or ratio) if 1/2.

that means every term is created by multiplying the previous term by 1/2.

a.

how many "half-lives" in 1104 days ?

well, with every 138 days such a half-life is over.

so, the answer is how often 138 fits into 1104 :

1104 / 138 = 8

there are 8 "half-lives" of polonium-210 in 1104 days.

b.

how much polonium-210 is in the sample after 1104 days ?

since we have 8 half-lives, we need to multiply the original amount 8 times by 1/2. in other words by 1/2⁸.

2⁸ = 256

so, our calculation is

30 g × 1/256 = 0.1171875 g ≈ 0.12 g

so, the second answer option is correct.

Answer:

D

Step-by-step explanation:

Well, the right edge is 1 line away from 6 so it is 5 15/16 inches.

There are 16 lines for each 1 line. so it is 5 inches and 15 lines out of 16

Answer:

Step-by-step explanation:

The question is 10b/(2b + 8)

The reciprocal will not make a minus sign. B and C are both wrong. Powers can create a minus sign but not this kind of question

Two terms creating a binomial must stay together. In this case (2b + 8) must be entirely in the top or bottom of the fraction. That makes  D wrong.

Answer: A is the correct reciprocal.

Answer:

5 and 1/4 is the answer to your problem

Step-by-step explanation:

Answer:

[tex]\frac{21}{4}[/tex] or  [tex]5 \frac{1}{4}[/tex]

Step-by-step explanation:

[tex]1 \frac{2}{4} + 3 \frac{3}{4}\\[/tex]

First, I would convert them into improper fractions. To convert [tex]1 \frac{2}{4}[/tex], I would do 1 x 4 = 4, then + 2 = 6

To convert [tex]3 \frac{3}{4}\\[/tex] , I would do the same: 3 x 4 = 12 + 3 = 15

That leaves us with [tex]\frac{6}{4}[/tex] + [tex]\frac{15}{4}[/tex]

All we have to do is add the numerators (top numbers) so

6 + 15 = 21

Answer = [tex]\frac{21}{4}[/tex]

or, as a mixed number, [tex]5 \frac{1}{4}[/tex]

Hope this makes sense. If you require any further explanation, feel free to ask..

- profparis

If I helped you, I would appreciate a brainliest :D

Answer:

24

Step-by-step explanation:

area of a triangle is length x width, divided by 2. so 8 times 6, divided by 2. 48/2 = 24.

Answer:

There should be 16, 20 cent coins in the box

Step-by-step explanation:

First we have to do 1.60 x 2 which equals 3.2

Then we divided by 0.20 because the equals the 20 cent coins

We get 16

We can check our work by 0.20 x 16 and that gives us 3.2

I hope this helps!

Answer:

For this question, we use the formula for the volume of a cylinder.

(formula for vol. of cylinder)

V = π[tex]r^{2}[/tex]h

Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and 'h' stands for the height.

We utilize the information that we know:

Which we then plug into our equation(volume of cylinder formula):

V = π[tex]r^{2}[/tex]h

904.78 = 3.14(6^2) · h

Next solve for the h(height).

904.78 = 3.14(36) · h

904.78 = 113.04 · h

904.78 = 113.04h

/113.04     /113.04

8.00406935598 = h, which we round to 8.

8 centimetres is the height of this cylinder.

false if the prices increase tomorrow or true if the prices decrease.

so basically it's always uphill so false

hope it helps...!!!

ANSWER:

false

EXPLANATION:

Answer:

f(x) and g(x) are inverses of each other

Step-by-step explanation:

To find the inverse of a function, swap the x's and y's and then solve for "y"

f(x) = 5x + 2

y  = 5x + 2

Swap:

    x = 5y + 2

  -2        - 2

x - 2 = 5y

÷5     ÷5  

Using it's concept, it is found that the period of the function is of 20 seconds.

The period of a function is given by the distance between it's repetitions.

In this problem, the function starts at 0s, with 4.8 ft, then in intervals of 2s, the heights are of 6.6 ft, 7.6 ft, 7.8 ft and so on. The same pattern starts again after 20 seconds.

Hence, the period of the function is of 20 seconds.

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rombus Rectangle sqare

Step-by-step explanation:

all have 4 Sides

Answer:

91⁰

Step-by-step explanation:

By using exterior angle theorm,

3=44+47=91⁰

Answer:

Russ is correct

Step-by-step explanation:

Russ is correct because 130/22 will not be quite to 6, but you can't have 9/10 of a bus so you will round up to 6.

Answer:

Option: C

Analysis:

— Each day earning = $8.25 x H hours

= 8.25 h

Now,

— buys lunch for 6.50

then,

— money left

= 8.25h - 6.50

Answer:

I would say it's C

Step-by-step explanation:

trust the process