Select the correct answer from each drop-down menu. The graph represents the piecewise function.

Answer:

25 students

Step-by-step explanation:

Given the equation of the best line of fit, [tex] y = 0.677x + 1.77 [/tex] , the number of students predicted to be in the matching band, if we have 35 students in the concert band, can be approximated by plugging in 35 as "x" in the equation of the best line of fit, and solve for "y". y would give us the predicted number of students to expect in the marching band.

[tex] y = 0.677(35) + 1.77 [/tex]

[tex] y = 23.695 + 1.77 [/tex]

[tex] y = 25.465 [/tex]

The approximated number of to be in the marching band, with 35 students in the concert band is roughly 25 students.

Answer:25 students

Step-by-step explanation:

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The given line passes through the points (-4, -3) and (4, 1).

What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (-4, 3)?

a) y - 3 = -2(x + 4)

b) y - 3= - (x + 4)

c) y - 3 = (x + 4)

d) y - 3 = 2(x + 4)

Answer:

The equation of the line that is perpendicular to the given line and passes through the point (-4, 3) is

a) y - 3 = -2(x +4)

Step-by-step explanation:

First of all, we will find the slope of the given line.

We are given that the line passes through the points (-4, -3) and (4, 1)

[tex](x_1, y_1) = (-4,-3) \\\\(x_2, y_2) = (4,1) \\\\[/tex]

The slope of the equation is given by

[tex]$ m_1 = \frac{y_2 - y_1 }{x_2 - x_1} $[/tex]

[tex]m_1 = \frac{1 -(-3) }{4 -(-4)} \\\\m_1 = \frac{1 + 3 }{4 + 4} \\\\m_1 = \frac{4 }{8} \\\\m_1 = \frac{1 }{2} \\\\[/tex]

Recall that the slopes of two perpendicular lines are negative reciprocals of each other.

[tex]$ m_2 = - \frac{1}{m_1} $[/tex]

So the slope of the other line is

[tex]m_2 = - 2[/tex]

Now we can find the equation of the line that is perpendicular to the given line and passes through the point (-4, 3)

The point-slope form is given by,

[tex]y - y_1 = m(x -x_1)[/tex]

Substitute the value of slope and the given point

[tex]y - 3 = -2(x -(-4) \\\\y - 3 = -2(x +4)[/tex]

Therefore, the correct option is (a)

y - 3 = -2(x + 4)

The equation of the line in point-slope form is y - 3 = -2(x + 4)

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the y intercept.

The line passes through the point (-4, -3) and (4, 1). Hence:

Slope = (1 - (-3)) / (4 - (-4)) = 1/2

The slope of the line perpendicular to this line is -2 (-2 *  1/2 = -1).

The line passes through (-4, 3), hence:

y - 3 = -2(x - (-4))

y - 3 = -2(x + 4)

The equation of the line in point-slope form is y - 3 = -2(x + 4)

Find out more on linear equation at: https://brainly.com/question/14323743

Answer:

[tex]1.49S + 4.39B \leq 20[/tex]

Step-by-step explanation:

The options are not given; However, the question can be solved without the list of options

Given

Let S represent packs of Streamers

Let B represent packs of  Balloons

Required

Represent this with an inequality

From the question, we understand that;

[tex]1S\ =\ \$1.49\ and\ \ 1B\ = \ \$4.39[/tex]

Also, it's stated that Aracely can't spend more than $20;

This mean that the maximum Aracely can spend is $20 and it can be represented with the inequality sign [tex]\leq 20[/tex]

Bringing them together;

[tex]1.49S + 4.39B \leq 20[/tex]

Answer:

a= -243

r=81/-243, r= -0.33(common ratio)

to find the 5th term; T5= -243×(0.33)^(5-1)

T5= -243 × (0.33)^4

T5= -3

to find the 6th term; T6= -243 ×(0.33)^(6-1)

T6= -243 ×(-0.33)^5

T6= 1

Answer:

Answer above is correct

Step-by-step explanation:

–243, 81, –27, 9 …

What is the common ratio?

–1/3

What is the fifth term in the sequence?

–3

What is the sixth term in the sequence?

1

Answer: A).  A Blue, then a Red.

     = 4/8 * 1/7

     = 1/14

B). A Red, then a White.

     = 1/7 * 3/8

     = 3/56

C). A Blue, then a Blue, then another Blue.

   = 4/8 * 3/7 * 2/6

   = 1/14

Step-by-step explanation:

had to complete the question first.

Find the following probabilities of Derek drawing the given marbles from the bag if the first marble(s) is(are) not returned to the bag after they are drawn.

(a) A Blue, then a Red =  

(b) A Red, then a White =  

(c) A Blue, then a Blue, then a Blue =  

given data:

blue marble = 4

white marble = 3

red marble = 1

total marble = 8

solution:

probability of drawing

A).  A Blue, then a Red.

     = 4/8 * 1/7

     = 1/14

B). A Red, then a White.

     = 1/7 * 3/8

     = 3/56

C). A Blue, then a Blue, then another Blue.

   = 4/8 * 3/7 * 2/6

   = 1/14

Answer:

1. a = -31/9

2. -3/4

3. Different degree polynomials

4. Yes, of a degree 2n

5. a. Even-degree variables

b. Odd- degree variables

Step-by-step explanation:

1. Suppose f(x) = x^4-2x^3+ax^2+x+3. If f(3) = 2, then what is a?

Plugging in 3 for x:

f(3)= 3^4 - 2*3^3 + a*3^2 + 3 + 3= 81 - 54 + 6 + 9a = 33 + 9a and f(3)= 2

------------

2. Let f, g, and h be polynomials such that h(x) = f(x) * g(x). If the constant term of f(x) is -4 and the constant term of h(x) is 3, what is g(0)?

------------

3. Suppose the polynomials f and g are both monic polynomials. If the sum f(x) + g(x) is also monic, what can we deduce about the degrees of f and g?

If the sum of monic polynomials f(x) + g(x) is also monic, then f(x) and g(x) are of different degree and their sum only change the one with the lower degree, leaving the higher degree variable unchanged.

------------

4. If f(x) is a polynomial, is f(x^2) also a polynomial?

------------

5. Consider the polynomial function g(x) = x^4-3x^2+9

a. What must be true of a polynomial function f(x) if f(x) and f(-x) are the same polynomial?

b.What must be true of a polynomial function f(x) if f(x) and -f(-x) are the same polynomial?

Answer:

P(A︱B) =0.50

Step-by-step explanation:

That's the answer

Answer:

0.95988 (Accuracy of the test )

Step-by-step explanation:

To determine the accuracy of this test we have to list out the given values

Prevalence rate of the disease = 0.3% = 0.003

sensitivity rate of the disease = 92% = 0.92

specificity rate for the test = 96% = 0.96

The accuracy of the test can be found using this equation

Accuracy = sensitivity * prevalence + specificity ( 1 - prevalence )

                = 0.92 * 0.003 + 0.96 ( 1 - 0.003 )

                = 0.00276 + 0.95712

                = 0.95988

Answer: d. 83

Step-by-step explanation: 59+ 24 = 83

Answer:

D. 83 degrees

Step-by-step explanation:

Angle WXY is made up of two angles, angle WXD and angle YXD.

Therefore, angle WXY will be equal to the sum of angle WXD and YXD.

So, we can add angles WXD and YXD together to find out what the measure of angle WXY is.

<WXY= <WXD + <YXD

We know that angle WXD is 24 degrees and angle YXD is 59 degrees.

<WXD= 24

<YXD= 59

<WXY= 24+59

Add 24 and 59

<WXY=83

The measure of angle WXY is 83 degrees, so choice D is correct.

Answer:

It should be 1/3d+4=28, but i dont see that option

Step-by-step explanation:

All the other ones are wrong. Its plus 4 because it states that its 4 years greater not lesser. Greater in the context means that its addition of 4.

idk if theres a typo or something but yeah.

Answer:

The probability is  [tex]P(\= X > x ) = 0.78814[/tex]

Step-by-step explanation:

From the question we are given that

     The population  mean is  [tex]\mu = 149[/tex]

     The standard deviation is  [tex]\sigma = 14[/tex]

     The random number    [tex]x = 147.81[/tex]

      The sample  size is  [tex]n = 88[/tex]

The probability that  the sample mean would be greater than [tex]P(\= X > x ) = P( \frac{ \= x - \mu }{\sigma_{\= x} } > \frac{ x - \mu }{\sigma_{\= x} } )[/tex]

Generally the z- score of this normal distribution is mathematically represented as

       [tex]Z = \frac{ \= x - \mu }{\sigma_{\= x} }[/tex]

Now

        [tex]\sigma_{\= x } = \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

         [tex]\sigma_{\= x } = \frac{14 }{\sqrt{88} }[/tex]

         [tex]\sigma_{\= x } = 1.492[/tex]

Which implies that

         [tex]P(\= X > x ) = P( Z > \frac{ 147.81 - 149 }{ 1.492} )[/tex]

        [tex]P(\= X > x ) = P( Z > -0.80 )[/tex]

Now from the z-table  the  probability is  found to be

        [tex]P(\= X > x ) = 0.78814[/tex]

Answer:

The graph of g is the graph of f shifted up by 3 units.

Step-by-step explanation:

Consider the graph of a function r with real numbers k and h.

Transformation Effect

r(x) + k shifts the graph up k units

r(x) - k shifts the graph down k units

r(x + h) shifts the graph to the left h units

r(x - h) shifts the graph to the right h units

It is given that g(x) = f(x) + 3. Therefore, the graph of g is the graph of f shifted up by 3 units.

Answer:

The height of the right circular cylinder is 14/√3 and its radius is 7√6/3.

Step-by-step explanation:

Check the attachment for the diagram.

The volume of a right circular cylinder =  πr²h

r is the radius of the cylinder

h is the height of the cylinder

V = πr²h... 1

From the diagram, we can use Pythagoras theorem on the right angled triangle to get r². From the triangle P² = r²+(h/2)²

P is the radius of the sphere.

P = 7

7² = r²+(h/2)²

r² = 49-(h/2)²... 2

Substituting equation 2 into 1:

V = π(49-(h/2)²)h

V = π(49h-h³/4)...3

To get the height h of the cylinder, we need to differentiate the volume of the cylinder with respect to h and equate to zero. i.e dV/dh = 0 since it's the maximum volume.

dV/dh = π(49-3h²/4)

0 = π(49-3h²/4)

Dividing both sides by π

0/π = π(49-3h²/4)/π

49-3h²/4 = 0

49 = 3h²/4

3h² = 49×4

3h² = 196

h² = 196/3

h = √196/√3

h = 14/√3

To get the radius of the cylinder, we will substitute h = 14/√3 into equation 2

r² = 49-(h/2)²

r² = 49-{(14/√3)/2}²

r² = 49-{14/2√3}²

r² = 49-(7/√3)²

r² = 49 - 49/3

r² = (147-49)/3

r² = 98/3

r = √98/√3

r = √49× √2/√3

r = 7√2/√3

r = 7√2/√3 × √3/√3

r = 7√6/3

The height of the right circular cylinders is 14/√3 and its radius is 7√6/3.

Answer:

Yes

Step-by-step explanation:

Well the integer (-1, -1) means x = -1 and y = -1

So we can plug this into the equation

-1 = 3(-1) + 2

-1 = -3 + 2

-1 = -1

So yes (-1, -1) is a solution.

Answer:

CI = ( μ  -  1,64 * σ /√n ;  μ  +  1,64 * σ /√n )

Step-by-step explanation:

We assume Normal Distribution

For Confidence Interval, CI = 90 %     and  α = 10 %

α = 0,1  and  α/2  =  0,05

So  we will look for z score reciprocate to these values, at the two tails of the bell

z(α/2) = 1,64 at th right tail  and -1,64 at the left

CI = ( μ  ±  1,64 * σ /√n  )

CI = ( μ  -  1,64 * σ /√n ;  μ  +  1,64 * σ /√n )

Answer:

ln [2^4 * 5^3]

Step-by-step explanation:

Rewrite 4 ln 2 as ln 2^4 and 3 ln 5 as ln 5^3.

Then 4 In 2+3 In 5 = ln 2^4 + ln 5^3, which in turn becomes

ln [2^4 * 5^3]

Answer:

work shown and pictured

Answer:

x= -1  y = 1

Step-by-step explanation:

Answer:

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

Step-by-step explanation:

The solution to the system of equations is at the point where they intercept each other.

y1 = y2

For the given equation;

y=x^2-2x and y=-2x-1

To get the where they intercept, we will equal both equations;

y=x^2-2x = -2x-1

x^2 - 2x = -2x - 1

x^2 - 2x + 2x + 1 =0

x^2 +1 = 0

x^2 = -1

x = √(-1) = i

Since the value of √(-1) is not real.

The system has no real solution.

Answer:

1. D

2. B

3. A

Step-by-step explanation:

Question 1:

The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.

Question 2:

Given that <KLM = x°

<KML = 50°

<JKL = (2x - 15)°

According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.

2x - 15 = x + 50

Solve for x

2x - x = 15 + 50

x = 65

Therefore, <KLM = 65°

QUESTION 3:

<JKL = 2x - 15

Plug in the value of x

<JKL = 2(65) - 15

= 130 - 15

<JKL = 115°

Answer:

9.06×10 to the power of 8(8 is superscript above 10)

Answer:

9.06 x 10^8

Step-by-step explanation:

906000000 = 9.06 x 10^8

8 decimal places in

Answer:

1 2/3

Step-by-step explanation:

Well we divide 75 by 45 which is 1.6 repeating and that as a fraction is 1 2/3.

Thus,

the scale factor that relates the 2 triangles is 1 2/3.

Hope this helps :)

Answer:

9/49 or 0.184

Answer:

9/49

Step-by-step explanation:

(6/7)² × (1/2)²

Distribute the square to the fractions.

6²/7² × 1²/2²

36/49 × 1/4

Multiply.

36/196

Simplify.

9/49

Answer:

19*25= 475

Step-by-step explanation:

You can either use a calculator or use the standard operation

The correct answers are Part 1: 7x + 12y  50, x,y 0; Part 2: 7; Part 3: 0: Part 4: 2 old and 3 new video games.

Step-by-step explanation:

Penny's parents gave her $50 to buy new video games.

Price of used games are $7 and new games are $12.

Let Penny buy x number of old video games and y number of new video games.

Part 1:

Total price she spent on buying the video games are 7x + 12y.

This amount should be less than or equal to the amount of money she possess. therefore 7x + 12y  50, x, y  0.

Part 2:

Maximum number of used game she can buy can be given when she spends all her money just on used games. Therefore y = 0. This implies x .

Thus the maximum number of used game she can buy is 7 where she does not buy any new game and has $1 left with her after the purchase.

Part 3:

Minimum number of new games that Penny can buy is zero. She can not buy any new games and spent all her money purchasing old games.

Part 4:

The possible combination in which she can purchase both the video games is 2 old games and 3 new games.

hope this helps

Answer:

i believe it's 4.5

Step-by-step explanation:

Answer:

14 in. hope this helps!!:)

Step-by-step explanation:

Answer:

The mean is defining the average length(2.5in) of the 100 measured screws.

Step-by-step explanation:

The mean is usually calculated in order to determine the average of a set of values.

Answer:

0, 22, 44, 66

Step-by-step explanation:

Given the equation for the model, [tex] d = 11t [/tex] , you can complete the table above by simply plugging in each value of "t" has given in the table to solve for "d".

*When t (seconds) = 0, distance (feet) would be:

[tex] d = 11(0) [/tex]

[tex] d = 0 [/tex]

*When t (seconds) = 2, distance (feet) would be:

[tex] d = 11(2) [/tex]

[tex] d = 22 [/tex]

*When t (seconds) = 4, distance (feet) would be:

[tex] d = 11(4) [/tex]

[tex] d = 44 [/tex]

*When t (seconds) = 6, distance (feet) would be:

[tex] d = 11(6) [/tex]

[tex] d = 66 [/tex]

Answer:

[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]

Step-by-step explanation:

A null hypothesis refers to the hypothesis in which there is no important difference taken place and it is used in statistics and it also does not have any relation between the two measured events or variables  or group association

It can be denoted by

[tex]A. H_o: \mu = 74 ^{\circ} F[/tex]

Therefore the above null hypothesis is the correct answer

Answer:

1). x = 2

2). x = -10

3). x = [tex]-\frac{2}{5}[/tex]

4). x = 10

Step-by-step explanation:

1). x - 6 = -4

  (x - 6) + 6 = -4 + 6 [By adding 6 to both the sides of the equation]

  x = 2

2). x + 3 = -7

  (x + 3) - 3 = -7 - 3 [By subtracting 3 to both the sides of the equation]

  x = -10

3). 5x = -2

   [tex]\frac{5x}{5}=\frac{-2}{5}[/tex] [By dividing with 5 from both the sides of the equation]

   x =  [tex]-\frac{2}{5}[/tex]

4). 0.5x = 5

   [tex]\frac{0.5x}{0.5}=\frac{5}{0.5}[/tex] [By dividing with 0.5 from both the sides of the equation]

   x = 10

Answer:

  54

Step-by-step explanation:

x is half the difference of the two arcs:

  x = (136 -28)/2 = 54

The value of x is 54.