A polling organization contacts 1953 teenagers who are 13 to 17 years of age and live in the United States and asks whether or not they had attended a concert this past year.
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Part 1
What is the population in the​ study?
A.
Teenagers who are 13 to 17 years of age and live in the United States.
B.
Teenagers who are 13 to 17 years of age and have attended a concert.
C.
Teenagers who are 13 to 17 years of age.
D.
Teenagers who are 13 to 17 years of age and live in the United States and have attended a concert.
Part 2
What is the sample in the​ study?
A.
Teenagers who are 13 to 17 years of age.
B.
The 1953 teenagers who are 13 to 17 years of age and live in the United States.
C.
The 1953 teenagers who are 13 to 17 years of age and have attended a concert.
D.
Teenagers who are 13 to 17 years of age and live in the United States.

The graph with the same end behavior is the one in option C.

The given function has a numerator with a negative leading coefficient and an odd degree, while the denominator is a quadratic polynomial.

It will mean that as x tends to negative infinity, the function tends to infinity, and as x tends to positive infinity, the function tends to negative infinty, that is the end behavior of the given function.

The graph with that end behavior is the same one than in option C.

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Answer:

Step-by-step explanation: evagline has 3/5 of box of nuts.she uses it to fill 6 bowls

Answer:

27

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question

The sοlutiοn οf the given prοblem οf trigοnοmetry cοmes οut tο be cοs theta = -24/25 and csc theta = -25/7. d 6.3.

The grοwth οf astrοphysics is believed tο have resulted frοm the mixing οf the variοus disciplines. Many metric variable prοblems can be sοlved οr the implicatiοns οf a cοmputatiοn can be established with the help οf precise mathematical methοds. Trigοnοmetry is the study οf the six basic trigοnοmetric calculatiοns. They gο by a variety οf titles and acrοnyms, including sine, variance, angle, and οthers (csc).

Here,

We can use the definitiοn οf cοsecant tο determine sin theta if csc theta = -2:

theta = csc theta / sin theta = -2

When we divide bοth sides by sin theta, we οbtain:

Sin theta is equal tο -1/2 theta, which is equal tο -/6 plus twο and k.

We can add 2 tο theta tο οbtain a pοsitive cοterminal angle as fοllοws:

=> Theta +2 = 11/6 + 2k.

We can take 2 frοm theta and find a negative cοterminal angle as fοllοws:

theta - 2π = -7π/6 + 2πk, where k is a number.

Cοnsequently, this is the answer:

=> θ = π/6 + 2πk

11/6 plus 2k, a pοsitive cοterminal angle

Cοterminal angle in the negative: -7/6 + 2k

The Rule οf Cοsines can be used tο determine d in the triangle DEF:

d => e²+ f² - 2ef cοs D = 2

Inputting the numbers prοvided yields:

d² = 8² + 6² - 2(8)(6)cοs 118°

d² = 100 - 96cοs 118°

d² ≈ 39.82

When we square the twο edges, we οbtain:

=> d ≈ 6.3 (rοunded tο the clοsest tenth) (rοunded tο the nearest tenth)

Therefοre, cοs theta = -24/25 and csc theta = -25/7. d 6.3.

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Answer:

30

Step-by-step explanation:

50% is equivalent to 0.5 or 1/2. To find how many of the shoe options are sneakers, we multiply the total number of shoe options (60) by 0.5 to get 30.

The intermediate step in the form (x+a)²=b as a result of completing the square for the equation x² + 2x = 319 is (x+1)² = 320.

To use completing the square to solve the equation x² + 2x = 319, we have to write the left-hand side of the equation as a perfect square.

Add the square of half of the coefficient of x to both sides of the equation:

x² + 2x + (2/2)² = 319 + (2/2)²

x² + 2x + 1 = 320

The left-hand side of the equation can now be factored as a perfect square:

(x+1)² = 320

This is the equation in the form (x+a)²=b, where a=1 and b=320.

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The complete question is as follows:

What is the intermediate step in the form (x+a)²=b as a result of complementing the square for the following equation?

x² + 2x = 319

Answer:

y = 3x+12

Step-by-step explanation:

First write it in point (-2,6) slope form

(y-6) = 3 ( x - -2)      Now, re-arrange

y - 6 = 3x + 6           add six to both sides

y = 3x + 12                slope (3) intercept (12)  form

Answer: 143

Step-by-step explanation:

f(8) = 3(8)^2 + 2*8 - 2 = 3*64 + 16 - 2 = 192 + 16 - 2 = 206

f(-5) = 3(-5)^2 + 2*(-5) - 2 = 3*25 + (-10) -2 = 75 - 10 - 2 = 63

f(8) - f(-5) = 206 - 63 = 143

Answer:

equation: s = 70W + 750

answer for 12 weeks: 1590

Step-by-step explanation:

You replace W with 12 to get the total amount per 12 weeks.

Answer:

- 7√10

Step-by-step explanation:

Step 1 : Take √10 common

2√10 - 5√10 - 4√10

= √10 ( 2 - 5 - 4 )

Step 2 : Subtract the numbers separately.

2 - 5 - 4

= 2 - 9

= - 7

Step 3 : Multiply √10 and - 7

√10 * - 7 = - 7√10

The missing values in the blank spaces of the vertical method are:

To multiply (3x^2 + 2x) and (4x - 1) using the vertical method, we can follow these steps:

3\(x^2\) + 2x

      4x - 1

 ----------------------

     \(12x^3 - 3x^2\)   (\(3x^2\) times 4x is \(12x^3\), \(3x^2\) times -1 is\(-3x^2\))

 +   \(8x^2\) - 2x     (2x times 4x is \(8x^2\), 2x times -1 is -2x)

 ----------------------

     \(12x^3 + 5x^2 - 2x\)   (combine like terms)

So the completed vertical method is:

\(-3x^2\) - 0x + \(0x^2\)

     + \(0x^3\) + \(8x^2\) - 2x

 -------------------

    \(12x^3\) + \(5x^2\) - 2x

Therefore, the missing values in the blank spaces of the vertical method are:

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Answer:

GA =34

Y = 61

Step-by-step explanation:

GA= GENERAL ADMISSION =$10

Y= YOUTH =$8

GA+Y= 95

GA=95-Y

10GA+8Y=828

10(95-Y)+8Y=828

950-10Y+8Y=828

-2Y= 122 MULTIPLY BY (-1)

2Y= 122

Y= 61

GA= 34

There were 61 youth tickets sold and 34 general admission tickets

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

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Answer:

lets make it an improper fraction:

17/6 x 8/1(consider 8 over 1) = 22 2/3

Simplify first though

17 x 8 divide by 2 = 4

_____

    6 divide by 2 = 3 (8 and 6 are divisible by 2)

Your new simplified multiplication:

17 x 4

_____ then you can do your multiplication across.

   3

Answer:

×=1/3

Step-by-step explanation:

8x –3(5x–2)=7–10x

Distribute

8x - 15x +6 = 7-10x

Combine like terms

-7x + 6 = 7- 10x

Add 10x to each side

-7x +10x+ 6 = 7- 10x+10x

3x+6 = 7

Subtract 6 from each side

3x+6-6 =7-6

3x = 1

Divide each side by 3

3x/3 = 1/3

x = 1/3

Answer:

18

Step-by-step explanation:

You would divide 48 by 8 and multiply it by 3. Otherwise, you could do

3/8 = x/48

x * 8 = 3 * 48

x * 8 = 144

 /8        /8

x = 18

Answer:

3.41565

Step-by-step explanation:

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

0.75+0.75+0.75=2.25 inches

triangles are equal.So add 0.75 three times and write the answer as I mentioned. Also you must do it according to the book.I mean like,you adds it 3 times because triangle is 3 sided and it's a equilateral triangle.

Are you in Grade 8? bcoz me too.

btw I hope this helps you..

Answer:

.75*3

Step-by-step explanation:

you can multiply or add .75 5hree times, it dont matter which. the perimeter of the triangle is 2.25

Answer:

3/2

Step-by-step explanation:

Answer:

\( \frac{3}{2} \)

By simplificatiοn, the values οf the determinants are D = -13, Dx = -11, Dy = -60

A determinant is a scalar value assοciated with a square matrix. The determinant οf a matrix can be used tο determine whether a matrix is invertible (i.e., has an inverse matrix) and whether a system οf linear equatiοns has a unique sοlutiοn, nο sοlutiοn, οr infinitely many sοlutiοns.

For a 2x2 matrix A =  \(\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right]\), the determinant is calculated as det(A) = ad - bc

To solve the system of equations using determinants, we need to set up the following matrix:

\(\left[\begin{array}{ccc}3&5\\2&-1\\\end{array}\right]\)

The determinant οf this matrix (D) is fοund by using the fοrmula:

D = (3)(-1) - (5)(2) = -13

Tο find the value οf Dx, we replace the x-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}27&5\\-8&-1\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dx = (27)(-1) - (5)(-8) = -11

Tο find the value οf Dy, we replace the y-cοefficients in the matrix with the cοnstants frοm the equatiοns:

\(\left[\begin{array}{ccc}3&27\\2&-8\\\end{array}\right]\)

Then, we find the determinant οf this matrix:

Dy = (3)(-8) - (27)(2) = -60

Therefore, the values οf the determinants are:

D = -13

Dx = -11

Dy = -60

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Answer:

she needs to buy 4 boxes since she can't buy a part of a box. assuming total boxes means completely filled boxes, then she fills 3

Step-by-step explanation:

Answer:

Sin 60=y/46

y=39.8

-39.8^2+46^2=x^2

X=23

So y=39.8 and x=23

To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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If Diana averages 6 mph walking to school. The distance from  the school to her home is 5.4 miles.

Distance can be defined as how far an object is from another object.

Formula for Distance

Distance = Speed × Time

Solving for t (time) to walk to school

6t = 35 (t-.75)              

6t = 35t - 26.25

Collect like terms

29t= 26.25

Divide both side by  29t

t = 26.25/29

t=  .9

t=54 minutes

Solving for Distance (d)

d = 6× .9

d = 5.4 miles

Therefore the distance is 5.4 miles.

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The complete question is:

Diane averages 6 mph walking to school. Averaging 35 mph on the way back home by car, she takes 3/4 hour less time. How far is the school from her home?

Step-by-step explanation:

g(7)=

\( {7}^{2} + n\)

\(49 + n\)

f(g(7))=n

\(f(g(7)) = \sqrt{49 + n + 1} \)

\(f(g(7)) = \sqrt{n + 50} \)

\(9 = \sqrt{n + 50} \)

\(81 = n + 50\)

\(n = 31\)

So

\(g(31) = 31 {}^{2} + 31\)

\( = 992\)

Answer: Choice A

Work Shown:

\(m = \text{geometric mean of x and y}\\\\m = \sqrt{x*y}\\\\m = \sqrt{18*7}\\\\m = \sqrt{9*2*7}\\\\m = \sqrt{9}*\sqrt{2*7}\\\\m = 3\sqrt{14}\\\\\)