Find the exact value of sin15

Answer:

0.0466

Step-by-step explanation:

For a random variable X which follows a binomial distribution:

[tex]n = 7\\p = 0.35[/tex]

Thus,

[tex]P(X=5)={7\choose5}(0.35)^5(1-0.35)^{7-5}\\P(X=5)={7\choose5}(0.35)^5(0.65)^{2}\\P(X=5)=0.0466[/tex]

Answer:

Option B (-sin 30°)

Step-by-step explanation:

Sine function is one of the trigonometric functions. Sine function is regarded as an odd function, which means that f(-x) = - f(x). Also, sine function is positive in the first two quadrants and negative in the last two quadrants. 210° lies in the third quadrant since 210° is greater than 180°. Therefore, the basic angle or the reference angle of 210° is 210° - 180° = 30°. We already know that sin 30° = 0.5. This means that whenever the angle is between 180° and 360°, the output of the sine function is negative. Therefore, sin 210° = -0.5. Only answer B is the correct option since -sin 30° = -0.5.

Answer:

(f+g)(x)= 3x^2 -2x-1

Step-by-step explanation:

f(x) = -4x+3

g(x) = 3x^2+2x-4

(f+g)(x)= -4x+3 +3x^2+2x-4

Combine like terms

(f+g)(x)= 3x^2 -2x-1

Answer:

The cost of one bucket of popcorn is $2.75

The cost of one drink is $1.25

Step-by-step explanation:

Let

x ----> the cost of one bucket of popcorn

y ----> the cost of one drink

we know that

5x+2y=16.25 -----> equation A

3x+y=9.50

y=9.50-3x ----> equation B

Solve the system of equations by substitution

Substitute equation B in equation A and solve for x

5x+2(9.50-3x)=16.25

5x+19-6x=16.25

6x-5x=19-16.25

x=$2.75

Find the value of y

y=9.50-3x

y=9.50-3(2.75)=$1.25

therefore

The cost of one bucket of popcorn is $2.75

The cost of one drink is $1.25

Answer:

7

Step-by-step explanation:

4[tex]\frac{2}{3}[/tex] can be written as [tex]\frac{14}{3}[/tex]

number of [tex]\frac{2}{3}[/tex] portions = [tex]\frac{14}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]

= [tex]\frac{14}{3}[/tex] x  [tex]\frac{3}{2}[/tex]

= [tex]\frac{14}{2}[/tex] = 7

Lily can get 7 portions of 2/3 ounces each from the 4 2/3 ounces of saffron she bought at the Union Market.

To calculate the number of 2/3 ounce portions that Lily can get from the 4 2/3 ounces of saffron she bought, we need to divide the total weight of saffron by the weight per portion. We can convert 4 2/3 to an improper fraction, which becomes 14/3. Next, we divide 14/3 by 2/3 to get the number of portions. Dividing fractions involves multiplying the first fraction by the reciprocal of the second. So, 14/3 ÷ 2/3 = 14/3 * 3/2 = (14 * 3) / (3 * 2) = 42/6 = 7 portions.

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The approximate length of its diagonal is:

                                    19.8 cm

We know that for any square with a side length of s units.

The diagonal of a square has length: [tex]\sqrt{2}s\ units[/tex]

Also, the perimeter of a square is the sum of all the side lengths of a square.

i.e.

[tex]Perimeter=4s[/tex]

Here we are given:

Perimeter of square= 56 cm.

i.e.

[tex]4s=56\\\\i.e.\\\\s=\dfrac{56}{4}\\\\i.e.\\\\s=14\ cm[/tex]

Hence, the diagonal of the square has length:

[tex]Diagonal=14\sqrt{2}\ units\\\\i.e.\\\\Diagonal=14\times 1.414\\\\i.e.\\\\Diagonal=19.796\ cm[/tex]

which is approximately equal to:  19.8 cm

Answer:

d.) on edg.

Step-by-step explanation:

just did it

good luck!

Yes. Any number has exponent 1 we just don't write it. Take for example number 4.

[tex]4\Longleftrightarrow4^{1}[/tex]

Which means every number has exponential behaviour.

The answer is Yes.

Hope this helps.

r3t40

Answer:

Reflection against the y-axis

Step-by-step explanation:

Answer:

So starting with:  

1000 ft / 5 min  

we need to convert minutes into seconds, then divide the above value into it to get knots (follow the labels so they cancel out)  

1000 ft / 5 min (1/60 min/sec) (1 kt / 1.68780986 ft/sec)  

1.974946 kt

Step-by-step explanation:

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The speed is the distance covered by an object at a particular time. Your speed is 200 feet per minute.

The speed is the distance covered by an object at a particular time. Therefore, it is the ratio of distance and time.

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given that you travel 1000 feet in 5 minutes. Therefore, your speed is,

Speed = 1000 feet / 5 minutes

Speed = 200 feet per minute

Hence, your speed is 200 feet per minute.

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Answer:

The sum of the exterior angles is 360 degrees.

Among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.

The statement that is true of the domain

Given:

h(8) = 19

h(-2) = 2

Domain: -3 ≤ x ≤ 11

Range: 1 ≤ h(x) ≤ 25

A. h(2) = 16 - This value doesn't conflict with the range (1 ≤ h(x) ≤ 25) and fits within the given function's range and domain. It's a possible value for h(2) based on the constraints given.

B. h(8) = 21 - This contradicts the information provided (h(8) = 19).

C. f(13) = 18 - This option refers to a value outside the domain specified for h(x).

D. h(-3) = -1 - This value is outside the range provided for h(x) as the range starts from 1.

So, among the options, A (h(2) = 16) is the statement that fits within the given range and domain for the function h(x) and could be true.

Given that a function, h, has a domain of -3≤ x≤ 11 and a range of 1≤ h(x)≤ 25 and that h(8)=19 and h(-2)=2 , select the statement that could be true for h. A h(2)=16 B. h(8)=21 C. f(13)=18 D. h(-3)=-1

Answer:

the answer is -8

Step-by-step explanation:

Answer:

B and C are geometric sequences.

Step-by-step explanation:

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

A is not a geometric sequence because the number 1 is repeated twice in the sequence.

B is a sequence because the sequence is being multiplied by 0.5 each time.

C is a geometric sequence because it is being multiplied by 1/3 each time.

D is not a geometric sequence because it is not being multiplied each time - it is increasing by +5 (arithmetic progression - not geometric).

Hope this helps!

The following are geometric sequences

1. 10,5, 2.5, 1.25, 0.625, 0.3125

2. -9, -3, -1, -1/3, -1/9, -1/27

The correct option is (B) & (C)

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.

1. A is not a geometric sequence because the '1'  is repeated two times in the sequence.

2. B is a geometric sequence because the sequence is being multiplied by 0.5 each time.

5/10=0.5

2.5/5=0.5

1.25/2.5=0.5

0.625/1.25=0.5

3. C is a geometric sequence because it is being multiplied by 1/3 each time.

-3/-9=1/3

-1/-3=1/3

-1/3/-1= 1/3

-1/9/-1/3= 1/3

4. D is not a geometric sequence because the multiplicative factor is not same.

Hence, 10,5, 2.5, 1.25, 0.625, 0.3125 and -9, -3, -1, -1/3, -1/9, -1/27 is geometric sequence.

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For this case we have a function of the form [tex]y = f (x).[/tex]

Where:

[tex]f (x) = 2x ^ 2 + 3x + 5[/tex]

They tell us that the function has a value of 19, and we want to know the values of the input, that is:

[tex]2x ^ 2 + 3x + 5 = 19\\2x ^ 2 + 3x + 5-19 = 0\\2x ^ 2 + 3x-14 = 0[/tex]

We apply the formula of the resolvent:

[tex]a = 2\\b = 3\\c = -14[/tex]

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}\\x = \frac {-3 \pm \sqrt {3 ^ 2-4 (2) (- 14)}} {2 (2)}\\x = \frac {-3 \pm \sqrt {9 + 112}} {4}\\x = \frac {-3 \pm \sqrt {121}} {4}\\x = \frac {-3 \pm11} {4}[/tex]

We have two roots:

[tex]x_ {1} = \frac {-3 + 11} {4} = \frac {8} {4} = 2\\x_ {2} = \frac {-3-11} {4} = \frac {-14} {4} = - \frac {7} {2}[/tex]

Answer:

The inputs of the function [tex]y = 19[/tex]are:

[tex]x_ {1} = 2\\x_ {2} = - \frac {7} {2}[/tex]

Answer:where is the question for the property

Step-by-step explanation:

Answer: 2

Step-by-step explanation:

[tex]\text{If the angle is in Quadrant II and sin A }=\dfrac{4}{5}, \text{then cos A }=-\dfrac{3}{5}.\\use\ Pythagorean\ Theorem: x^2+4^2=5^2\implies x=3,\quad cos =\dfrac{x}{h}\\\\\\tan\bigg(\dfrac{A}{2}\bigg)=\dfrac{1-cosA}{sinA}\\\\\\.\qquad \qquad =\dfrac{1-(-\dfrac{3}{5})}{\dfrac{4}{5}}\\\\\\.\qquad \qquad =\dfrac{\dfrac{8}{5}}{\dfrac{4}{5}}\implies \dfrac{8}{5}\div\dfrac{4}{5}\implies \dfrac{8}{5}\times\dfrac{5}{4}=\dfrac{8}{4}=\large\boxed{2}[/tex]

Final answer:

To find out how many pages Kelli will have read by day 53, we need to calculate how many pages she reads each day and add them up.

Explanation:

To find out how many pages Kelli will have read by day 53, we need to calculate how many pages she reads each day and add them up. On the first night, Kelli read 77 pages. Every day after that, she reads 35 pages more than the previous day. So each day, the number of pages she reads is increasing by 35. To find out how many pages she will have read by day 53, we can use the formula:

Total Pages Read = (First Night's Pages) + (35 * (Total Number of Days - 1))

Plugging in the values, we have:

Total Pages Read = 77 + (35 * (53 - 1))

Total Pages Read = 77 + (35 * 52)

Total Pages Read = 77 + 1820

Total Pages Read = 1897

Answer:

Step-by-step explanation:

In some fashion or another, the two factors are 6 and 8. But how are they put together?

-(x^2 + 2x - 48)

The 8 will be plus. That would make 2x plus. It should factor like this.

-(x + 8)(x - 6)

To check it, we should find the roots and post the graph. The graph will be upside down. That's what the minus outside the brackets  does.

x + 8= 0

x = - 8

=======

x - 6 = 0

x - 6 + 6 = 6

x = 6

Answer:

J 36

Step-by-step explanation:

AB = 9, BC = 12, and m∠B = 90°.  Since this is a right triangle, we can use Pythagorean theorem to find AC.

c² = a² + b²

c² = 9² + 12²

c = 15

So the perimeter is:

P = 9 + 12 + 15

P = 36

Answer:

A) 64π units

Step-by-step explanation:

SA= 4πr squared

4*π*4 squared

4 squared = 16

16*4=64

64π

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

Here we are given that the radius of the sphere is given as

[tex]SA=4\pi\cdotr^{2}[/tex]

here we are given that the radius of the sphere r=4 . Hence in order to find the Surface Area of the sphere we substitute the value of r in the formula...

[tex]SA=4\pi\cdot4^{2}[/tex]

[tex]SA=4\pi\cdot16[/tex]

[tex]SA=64\pi[/tex]

Hence the surface area of the sphere is [tex]64\pi unit square[/tex]

Answer: The answer is no solution, since any number plugged into that equation wouldn't work out, because 1/x - 1/x cancels out itself, so therefore there is NO SOLUTION. :)

Step-by-step explanation:

Answer:

Translation, five units to the left.

Step-by-step explanation:

Point A is moved to the left to become A'.

Similarly, Points M, H, and T have moved to the left to become M', H', and T', respectively.

This type of transformation, in which all the points in a figure move in the same direction and by the same amount, is called a translation (moving sideways).

Each point has moved five units to the left.

Step-by-step explanation:

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The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The graph is given below.

The figure HMAT is translated by 5 units towards the left side to form H'M'A'T'.

More about the transformation of a point link is given below.

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In older series light strings, if a bulb burns out, the string goes dark as the circuit is broken, with each bulb operating at 3 V normally. In modern strings with short-circuiting bulbs, the rest of the lights remain lit and each bulb would then operate at approximately 3.08 V if one burns out.

When strings of holiday lights are wired in series, the entire circuit is affected if one bulb fails. In older versions, if a bulb burns out, it acts like an open switch, causing the entire string of lights to go out as the electrical circuit is broken. Each of the 40 identical bulbs in a string operating on 120 V would have a normal operating voltage of 120 V / 40 = 3 V per bulb.

In newer versions of holiday lights, where bulbs short circuit when they burn out, the string continues to operate even when one bulb fails. However, the total voltage of the string remains the same, so the voltage gets redistributed among the remaining bulbs. If one bulb out of 40 burns out, you then have 39 bulbs through which the 120 V is distributed, giving an operating voltage of 120 V / 39 ≈ 3.08 V per bulb.

=========================================

Explanation:

Start by sorting the values from smallest to largest. This is known as ascending order. The original set {3, 5, 7, 4, 3, 1} will sort to {1, 3, 3, 4, 5, 7}

After the values are sorted, we will look at the middle most value to find the median. Because there are six items in this data set, the median number is between slot 3 and slot 4. Note how the sorted data set breaks down into

{1, 3, 3} and {4, 5, 7}

we see that 3 and 4 are tied for the middle most, so the median must be 3.5 which is halfway between 3 and 4.

Hello There!

Let’s first remember that the median is the middle number in an ordered set of data.

Our data set is

1,3,3,4,5,7

Since there are two numbers in the middle, we have to add up our two numbers in the middle which are 4 and 3 so together that gives us a sum of 7 and then we divide by 2 which we get a quotient of 3.5.

Answer:

Q - [R + S] - T = 10m + 5n - 24 ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The value of Q = 7m + 3n

- The value of R = 11 - 2m

- The value of S = n + 5

- The value of T = -m - 3n + 8

* To simplify Q - [R + S ] - T substitute the value of each letter in

  the expression

- Lets find R + S

∵ R = 11 - 2m

∵ S = n + 5

∴ R + S = 11 - 2m + n + 5 ⇒ coolect the like term

∴ R + S = 16 - 2m + n

∵ Q = 7m + 3n

∵ T = -m - 3n + 8

- Lets simplify the rest of the expression

- Remember (-)(-) = + and (-)(+) = -

∵ Q - [R + S] - T = (7m + 3n) - (16 - 2m + n) - (-m - 3n + 8)

∴ Q - [R + S] - T = 7m + 3n -16 + 2m - n + m + 3n - 8 ⇒ add like terms

∴ Q - [R + S] - T = (7m + 2m + m) + (3n - n + 3n) + (-16 - 8)

∴ Q - [R + S] - T = 10m + 5n - 24

Answer:

10m + 5n - 24

Step-by-step explanation:

Answer: $50 per year, y = 50x + 1200

Step-by-step explanation:

The rate of change is the slope of the two coordinates (0, 1200) & (3, 1350). Note that 2005 is represented as 0 years since the company started and 2008 represents 3 years since the company started.  

Use the slope formula: [tex]\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{1350-1200}{3-0}=\dfrac{150}{3}=\$50 \text{ per year}[/tex]

To write the equation in slope-intercept form, input a point (x₁, y₁) and the slope (m) into the Point-Slope formula: y - y₁ = m(x - x₁) and solve for y

y - 1200 = 50(x - 0)

y - 1200 = 50x

          y = 50x + 1200 ; where x represents the number of years the

                                      company has been in business.

Answer:

34

Step-by-step explanation:

Given that

2x - 7 = 9 ← solve for x

Add 7 to both sides

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into 5x - 6

5x - 6 = (5 × 8) - 6 = 40 - 6 = 34