The number of hours per day that Americans spend on social networking is approximately normally distributed. A random sample of 20 Americans who use social networks had

Explanation:

The identity we'll use is cos(-x) = cos(x) for any value of x.

So cos(-150) = cos(150).

Then locate the angle 150 on the unit circle. The terminal point is [tex]\left(-\frac{\sqrt{3}}{2}, \frac{1}{2}\right)[/tex]

The x coordinate of this terminal point is the value of cos(150).

Answer:

Cos(-150°)=-√3/2

Step-by-step explanation:

-150° is found at the third quadrant so the cost value at third quadrant is negative

Cos(-150°)= -cos(30)=-cos(210)

Cos(-150°)=- (√3/2)

Cos(-150°)=-√3/2

Hope it helps

Answer :

percentage decrease = {(2.89-2.82)/2.89}x100 = 2.42%

Answer:

Fraction of the figure shaded = [tex]\frac{13}{16}[/tex]

Step-by-step explanation:

Ratio of the areas of the given circles are 1 : 4 : 16

Then the radii of the circles will be in the ratio = [tex]\sqrt{1}:\sqrt{4}:\sqrt{16}[/tex]

                                                                             = 1 : 2 : 4

If the radius of the smallest circle = x units

Then the radius of the middle circle = 2x units

and the radius of the largest circle = 4x units

Area of the smallest circle = πx²

Area of the middle circle = π(2x)² = 4πx²

Area of the largest circle = π(4x)²= 16πx²

Area of the region which is not shaded in the middle circle = πx²(4 - 1)

                                                                                                  = 3πx²

Therefore, area of the shaded region = Area of the largest circle - Area of the region which is not shaded

= 16πx² - 3πx²

= 13πx²

Fraction of the figure which is not shaded = [tex]\frac{\text{Area of the shaded region}}{\text{Area of the largest circle}}[/tex]

= [tex]\frac{13\pi x^{2} }{16\pi x^{2} }[/tex]

= [tex]\frac{13}{16}[/tex]

Answer:

[tex]6 \pm 2.861(0.3354)[/tex]

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 20 - 1 = 19

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.861.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.861\frac{1.5}{\sqrt{20}} = 2.861(0.3354)[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The format of the confidence interval is:

[tex]S_{M} \pm M[/tex]

In which [tex]S_{M}[/tex] is the sample mean

So

[tex]6 \pm 2.861(0.3354)[/tex]

Answer:

[tex]-\frac{8}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex]

Required

Simpify

The very first step is to take LCM of the given expression

[tex]\frac{-10 -4 - 2}{6}[/tex]

Perform arithmetic operations o the numerator

[tex]-\frac{16}{6}[/tex]

Divide the numerator and denominator by 2

[tex]-\frac{16/2}{6/2}[/tex]

[tex]-\frac{8}{3}[/tex]

The expression can't be further simplified;

Hence, [tex]\frac{5}{-3} - \frac{4}{2} + \frac{1}{-3}[/tex] = [tex]-\frac{8}{3}[/tex]

Answer:

x-6+x

2x-6=14

2x=20

x=10

Answer:

x-6+x

2x-6=14

2x=20

x=10

Step-by-step explanation:

I tried hard... I really hope this helps!

it's 15, since it is divisible by both 15 (15 x 1) and 3 (3 x 5)

Answer:

15

Step-by-step explanation:

Well to find the least common denominator of [tex]\frac{1}{3}[/tex] and [tex]\frac{11}{15}[/tex].

We have to see if 11/15 can be reduced, and by looking at the fraction it can’t be reduced.

So we just have to make 1/3 fraction have the same demimitator as 11/15.

So we just multiply it by 3 to get 15 go the LCD is 15.

Answer:

i think is e or b

Step-by-step explanation:

[tex]7(b-2)[/tex]  Can be interpreted as letter E.

Answer:

A.50-n=44, 6 shorts borrowed

Step-by-step explanation:

If her sister borrowed n shorts, that means Shelly now has n less shorts. Since her amount of shorts is 50, then 50-n must equal how many shorts she has now, meaning 50-n=44. Solving the equation we get n=6. This means that her sister borrowed 6 shorts.

Answer:

A

Step-by-step explanation:

50 minus the shorts Shawnie borrowed (n) equal to 44

Answer:

equilateral

Step-by-step explanation:

There are various types of triangles out there, each with its own unique characteristics that distinguish it from others.

One such triangle is called an equilateral triangle. Essentially, like its name suggests, this kind of triangle has all three angles equal (they're actually all equal to 60 degrees). Additionally, this triangle has all three sides that same, as well.

Thus, the answer is equilateral.

Just for future reference, here are a couple more types of triangles:

- Isosceles

These triangles have at least 2 sides equal to each other; in other words, an equilateral triangle is an example of an isosceles triangle. In addition, the two angles of an isosceles triangle opposite to the two equal sides are themselves congruent.

- Scalene

These triangles have all three sides different, which in turn means that all three angles are distinct.

- Acute

These triangles' angles are all less than 90 degrees. That's what "acute" means: less than 90 degrees.

- Obtuse

These triangles have exactly 1 angle that is larger than 90 degrees.

- Right

These triangles have exactly 1 angle that is equal to 90 degrees.

~ an aesthetics lover

Answer: Equilateral triangle

Step-by-step explanation: A triangle with 3 congruent sides is called an equilateral triangle or stated another way, an equilateral triangle is a triangle in which all 3 sides have the same length.

I have attached an example of this below.

Answer:

Yeah, you got the answer right.

Step-by-step explanation:

Answer:

Hello! :) The answer will be under “Explaination”

Step-by-step explanation:

The correct answer to your question is 4 1/3

Here is the work:

So if we simply 39/9 we will get 13/3

Than we divide 3 and 13

Which will leave us with 4 and 1 left over

So the answer is 4 1/3

Here is how to check your work, 4x3 =12 and 12+1=13 (13/3 which equals to 39/9

ANSWER: 4 1/3

Hope this helps! :)

Answer:

729

Step-by-step explanation:

Replace x with 9. [tex]9^{2}[/tex] which is 9*9=81 than [tex]9^{1}[/tex] which is 9*1=9. Simplify 81*9=729.

Answer:

h = A ÷ ½(a - b)

Step-by-step explanation:

A = ½ah - ½bh

A = ½h( a - b)

Divide both sides by the coefficients of h

A ÷ ½(a - b) = h

Answer:

C. (x + 3)(x − 8)

Step-by-step explanation:

We need two numbers that add to -5 and multiply to -24.

They are -8 and 3 since -8 + 3 = -5, and -8 * 3 = -24.

x^2 - 5x - 24 = (x - 8)(x + 3)

Hey there! :)

Answer:

Point V.

Step-by-step explanation:

Given the coordinates of T at (-6.5, 1), U represents T before any reflections. (Helps to visualize this better)

Reflecting across the x-axis results in the sign of the y-coordinate changed. Point T after this reflection becomes (-6.5, -1).

Finally, reflecting across the y-axis will change the sign for the x-coordinate.

(-6.5, -1) becomes (6.5, 1). This is represented by point V.

Answer:

Step-by-step explanation:

There are 9 possible outcomes for (Bill, Ben)'s cards:

  (4, 4) total 8; (4, 5) total 9; (4, 6) total 10;

  (5, 4) total 9; (5, 5) total 10; (5, 6) total 11;

  (6, 4) total 10; (6, 5) total 11; (6, 6) total 12.

Of these 9 outcomes, 4 have an odd total; 6 are less than 11.

 P(odd) = 4/9

  P(sum < 11) = 2/3

Answer:

56.52 in

Step-by-step explanation:

Circumference Formula: C = 2πr

Since we are given radius r = 9, simply plug it into the formula:

C = 2π(9)

C = 18π

C = 56.5487

Answer:

56.5

Step-by-step explanation:

The circumference is the product of the diameter and PI

P = (9+9)*π = 18*3.14=56.52

Answer:

m∠1 = 91°

Step-by-step explanation:

Since ∠2 and ∠3 are Supplementary Angles, to find x:

5x + 14 + 7x - 14 = 180

12x = 180

x = 15

Now we plug in x as 15 in to find m∠2:

m∠2 = 5(15) + 14

m∠2 = 75 + 14

m∠2 = 89

Since ∠1 and ∠2 are also supplementary, to find m∠1, we simply subtract 180°:

m∠1 = 180 - m∠2

m∠1 = 180 - 89

m∠1 = 91°

Answer:

D.

Step-by-step explanation:

Answer:

Hello There!

~~~~~~~~~~~~~~~~~

Your answer would be (B)

Step-by-step explanation:

It is the only one that shows an angle bisector. An angle bisector is a line that split an angle into two.

Hope this helped you! Brainliest would be nice!

☆_____________❤︎______________☆

Answer:

Step-by-step explanation:

Hello there so

n plane geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.[1] Angles formed by two rays lie in a plane, but this plane does not have to be a Euclidean plane. Angles are also formed by the intersection of two planes in Euclidean and other spaces. These are called dihedral angles. Angles formed by the intersection of two curves in a plane are defined as the angle determined by the tangent rays at the point of intersection. Similar statements hold in space, for example, the spherical angle formed by two great circles on a sphere is the dihedral angle between the planes determined by the great circles.

Angle is also used to designate the measure of an angle or of a rotation. This measure is the ratio of the length of a circular arc to its radius. In the case of a geometric angle, the arc is centered at the vertex and delimited by the sides. In the case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

The word angle comes from the Latin word angulus, meaning "corner"; cognate words are the Greek ἀγκύλος (ankylοs), meaning "crooked, curved," and the English word "ankle". Both are connected with the Proto-Indo-European root *ank-, meaning "to bend" or "bow".[2]

Euclid defines a plane angle as the inclination to each other, in a plane, of two lines which meet each other, and do not lie straight with respect to each other. According to Proclus an angle must be either a quality or a quantity, or a relationship. The first concept was used by Eudemus, who regarded an angle as a deviation from a straight line; the second by Carpus of Antioch, who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept, although his definitions of right, acute, and obtuse angles are certainly quantitative.[3]

Answer:

[tex]\boxed{\sf \ \ \ 11,464 \ \ \ }[/tex]

Step-by-step explanation:

hello

we need to compute the following

[tex]\sum\limits^9_{i=0} {1000(1.03)^i}=1000\dfrac{1.03^{10}-1}{1.03-1}=11463.879...[/tex]

hope this helps

Answer:

The vertex is ( -1/2, 3/4)

Step-by-step explanation:

f(x)=x^2+x+1

The vertex form is

y = a( x-h) ^2 +k where (h,k) is the vertex

Rewriting the function by completing the square

Taking the coefficient of x and dividing by 2 and squaring it

(1/2) ^2 = 1/4

Adding it and subtracting it

f(x) = x^2 + x + 1/4 -1/4 +1

    = ( x^2+ x +1/4) + 3/4

   = ( x+ 1/2) ^2 + 3/4

 = ( x- -1/2) ^2 + 3/4

The vertex is ( -1/2, 3/4)

Answer:

  (f-g)(x) = -x² +4x +6

Step-by-step explanation:

We assume you want to find (f -g)(x).

 [tex](f-g)(x)=f(x)-g(x)=(4x+1)-(x^2-5)\\\\\boxed{(f-g)(x)=-x^2+4x+6}[/tex]

Answer:

3rd option

Step-by-step explanation:

-5 is smaller than -2.

-2 is smaller than 1

1 is smaller than 3

Answer:

the 3 one

Step-by-step explanation:

the larger the negative number,the higher up the number line it goes

so -5 is the greatest negative number,-2 the next, the 1 and 3

Answer:

x = 46

Step-by-step explanation:

Use the triangle angle bisector theorem.

58/63.8 = (x + 4)/55

63.8(x + 4) = 55 * 58

63.8x + 255.2 = 3190

63.8x = 2934.8

x = 46

Answer: (1 and 22/45)

Step-by-step explanation:

I guess that we are working with mixed numbers here, and we have the equation:

(8÷2 2/9) − (2 11/15)

first we solve: 8÷2 = 4.

Now, we can write this as:

(4 + 2/9) - (2 + 11/15)

(4 - 2) + (2/9 - 11/15)

now, 9*5 = 45

        15*3 = 45

then we can write the right side as: 2/9 - 11/5 = 10/45 - 33/45 = -23/45

2 - 23/45

But in mixed numbers we also need to work with a positive rational, then we have:

2 - 23/45 = 1 + 1 -23/45 = 1 + 45/45 - 23/45 = 1 + 22/45

then the solution is:

(1 and 22/45)

Answer:

After 25 years, Minneapolis will have 154,062 more residents than Anoka.

Step-by-step explanation:

First, let's write a function for each case.

For Anoka, the initial population is 18,000. The population grows 5.2% or 0.052 each year. Thus:

[tex]A(x)=18000(1.052)^x[/tex], where x represents the amount of years after 1994.

Inversely, for Minneapolis, the population decreases by 2.3% or 0.023. Another way to write this is that it in changes by 1-0.023 or .977 or 97.7%. Thus:

[tex]M(x)=390000(0.977)^x[/tex].

To find how many more people are living in Minneapolis than Anoka after 25 years, simply plug 25 into the functions and then subtract.

In Anoka, after 25 years, there will be:

[tex]A(25)=18000(1.052)^{25}\approx 63924[/tex] residents.

In Minneapolis, after 25 years, there will be:

[tex]M(25)=390000(.977)^{25}\approx217986[/tex] residents.

217986-63924=154,062 residents.

Answer: 0.8284 units²

Step-by-step explanation:

To find the area between curves, we need to use the integral. We can see that both sides of the shaded region are equal to each other. Therefore, we can find the area of one shaded part and multiply it by 2 for the 2 shaded regions. For the integral, we can find the area of the shaded region on the left side, on the interval from 0 to π/4.

Now that we know the integral, we can figure out the function. We do this by subtracting the top curve by the bottom curve. The top curve on the left shaded region, is y=cosx. The bottom curve on the shaded region is y=sinx. Therefore, we will subtract cosx-sinx.

[tex]2\int\limits^\frac{\pi }{4} _0 {cosx-sinx} \, dx[/tex]

Now that we have the integral, we can solve by splitting the integral into 2 separate integrals by the Sum Rule. Let's disregard the multiply by 2 for now, but we will make sure to multiply by 2 at the end.

[tex]\int\limits^\frac{\pi }{4} _0 {cosx} \, dx -\int\limits^\frac{\pi }{4} _0 {sinx} \, dx[/tex]

Now, we can solve each integral separately.

[tex]\int\limits^\frac{\pi }{4} _0 {cosx} \, dx =sinx]^\pi^ /^40[/tex]

*Note: The 0 is at the base of the bracket. I can't find a way to do it in the equation editor, but know that it's there.

[tex]sin(\frac{\pi }{4} )-sin(0)=\frac{\sqrt{2} }{2} -0=\frac{\sqrt{2} }{2}[/tex]

Now, we can find the integral of sinx.

[tex]\int\limits^\frac{\pi }{4} _0 {sinx} \, dx=-cos]^\pi ^/^40[/tex]

*Note: The 0 is at the base of the bracket. I can't find a way to do it in the equation editor, but know that it's there.

[tex]-cos(\frac{\pi }{4} )-(-cos(0))=-\frac{\sqrt{2} }{2} -(-1)=-\frac{\sqrt{2} }{2} +1[/tex]

Now that we have the integral of each integral, we can subtract them, and multiply by 2.

[tex]\frac{\sqrt{2} }{2} -(-\frac{\sqrt{2} }{2} +1)=\sqrt{2}+1[/tex]

[tex]2(\sqrt{2} +1)=0.8284 units^2[/tex]

Step-by-step explanation: