A survey was sent to GCA students asking the question "Who is your favorite teacher?" (Just FYI - Mrs. Parker received the most votes) What type of data was collected? Question 1 options: Quantitative Qualitative Continuous Discrete Question 2 (1 point) Question 2 Unsaved A survey was sent to GCA students asking the question "On a scale of 1 to 5, with 1 being the lowest and 5 being the highest, how would you rate your AMDM teacher?" The data collected was Question 2 options: Quantitative Qualitative Continuous redundant since every student rated their AMDM teacher as a 5. Question 3 (1 point) Question 3 Unsaved You decided to attend the GCA outing at Stone Mountain. Before you left for the park, you entered the park address into a GPS/Traffic app on your phone. The app told you that Stone Mountain was 47.6 miles from your house. 47.6 miles is an example of... Question 3 options: Qualitative, continuous data Quantitative, discrete data Qualitative, discrete data Quantitative, continuous data Question 4 (1 point) Question 4 Unsaved While you were at the Stone Mountain outing, you played a game of corn hole. You counted the number times you tossed the beanbag into the hole. The number of times you were able to sink the beanbag is an example of.... Question 4 options: Qualitative, continuous data Quantitative, discrete data Qualitative, discrete data Quantitative, continuous data Question 5 (1 point) Question 5 Unsaved You recorded the time you left Stone Mountain and the time you arrived home. You calculated time it took you get home was 57.28 minutes. 57.28 minutes is an example of.... Question 5 options: Qualitative, continuous data Quantitative, discrete data Qualitative, discrete data Quantitative, continuous data

( - ∞, ∞ )

f(x) is defined for all real values of x

The value of the measure of ∠K is,

⇒ ∠K = 46°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

In triangle JKL,

⇒ ∠J = 101°

⇒ ∠L = 33°

Now, We know that;

⇒ ∠J + ∠K + ∠L= 180°

⇒ 101° + ∠K + 33° = 180°

⇒ ∠K + 134° = 180°

⇒ ∠K = 180 - 134

⇒ ∠K = 46°

Thus, The value of the measure of ∠K is,

⇒ ∠K = 46°

Learn more about the triangle visit;

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#SPJ2

I believe the answer would be 46 students

> 46 Students in Tom's school are Left-Handed

Range represents all of the y-values possible for the function.  

What is the highest point on the graph? The coordinate is (2, 50) so the y-value of the highest point is 50.

What is the lowest point on the graph? there isn't one because it continues downward to infinity.

Range: (-∞, 50]

I hope this helped!

Answer:

Domain =R-{6}

Range =R-[-2,0)

Step-by-step explanation:

edge 2021

Answer:

[tex]x=3\sqrt{3i} \\or\\x=-3\sqrt{3i}[/tex]

Step-by-step explanation:

What is the solution of the equation when solved over the complex numbers?

x2+27=0

Enter your answers, as exact values, in the boxes.

x =  [tex]3\sqrt{3i}[/tex]  or x =[tex]-3\sqrt{3i}[/tex]

We are given sides of the triangle by expression

First side : n

Second side : m = 5n-5.

Third side : l = 5/4 m - n.

Perimeter is 90.

Therefore, first equation could be set :

n +m +l = 90   --------------equation(1)

Second equation would be

m = 5n-5        --------------equation(2)

Third equation would be

l = 5/4 m - n   --------------equation(3)

Let us solve the system of equations by substitution.

Substituting m = 5n-5 and l = 5/4 m - n in first equation.

We get

n +5n-5 +5/4 m - n= 90

Now, substituting m = 5n-5 in above equation we get

n +5n-5 +5/4 (5n-5) - n= 90

5n + 25n/4 -5 - 25/4 =90

5n + 6.25n -5-6.25 = 90.

11.25n-11.25 = 90

Adding 11.25 on both sides, we get

11.25n-11.25+11.25 = 90+11.25

11.25n = 101.25.

Dividing both sides by 11.25, we get

n=9.

Plugging n=9 in 2nd equation.

m = 5(9)-5 = 45 -5 = 40.

Plugging n=9 and m=40 in first equation, we get

9 +40 +l = 90

49 +l = 90.

Subtracting 49 from both sides, we get

49-49 +l = 90-49

l = 41.

Therefore, sides are of lengths l = 41, m= 40 and n=9.

To determine how many bottles of soda are needed for 12 bowls of punch, we use the given ratio of 7 bowls to 5 bottles and set up a proportion. We find that 9 bottles of soda are needed for 12 bowls of punch.

The question asks us to figure out how many bottles of soda we need to make a larger amount of punch based on a known ratio. Since it is given that 7 bowls of punch require 5 bottles of soda, we can set up a proportion to find out how many bottles of soda we need for 12 bowls of punch. To do this, we use the initial ratio (7 bowls/5 bottles) and set it equal to the desired ratio (12 bowls/x bottles), where x represents the unknown number of bottles needed for 12 bowls.

We can solve for x by cross-multiplying and dividing:

Set up the proportion: (7 bowls / 5 bottles) = (12 bowls / x bottles)

Cross-multiply: 7 * x = 5 * 12

Simplify: 7x = 60

Divide both sides by 7: x = 60 / 7

Since 60 divided by 7 is not a whole number, we round up, because you can't have a fraction of a bottle in this context. Therefore, x
= 9 bottles (rounded up from 8.57)

So, we would need 9 bottles of soda to make 12 bowls of punch.

y² - 4y - 2x - 4 = 0

           +2x +4   +2x + 4

y² - 4y              = 2x + 4

            +4                 +4      

 (y - 2)²          = 2x + 8

             -8              -8

 (y - 2)²  - 8   = 2x

[tex]\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}[/tex]

[tex]\frac{1}{2}[/tex](y - 2)² - 4 = x

x = [tex]\frac{1}{2}[/tex](y - 2)² - 4

Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)

Answer: Isaiah earned $400.16

Step-by-step explanation:

1. You have that Isaiah earns a weekly salary of $320 and a comission of 3% on all of his sales and the last week this sales were $2,672.

2. Therefore, to solve this problem you must caculate the 3% of $2,672 and add this result to his weekly salary, as following:

[tex](2,672)(0.03)=80.16[/tex] dollars

[tex]320+80.16=400.16[/tex] dollars

4 refrigerators = 1000

2 dishwashers = 300

add em up to 1300

Final answer:

Using a system of linear equations, it was determined that 57 child tickets were sold at the movie theatre when 155 tickets were sold for a total of $1312.20.

Explanation:

To determine how many child tickets were sold at the movie theatre when 155 tickets were sold for a total of $1312.20, we can set up a system of linear equations. Let's define C as the number of child tickets and A as the number of adult tickets. We know that child admission is $6.00 and adult admission is $9.90.

The first equation represents the total number of tickets sold:
C + A = 155

The second equation represents the total sales:
6C + 9.9A = 1312.20

To solve this system, we can use either substitution or elimination. Here, we'll go with substitution:

So, 57 child tickets were sold that day.

Here is the equation:

[tex]4x+y=z[/tex]

You need to find x. To do that, the variable must be alone on one side. On the right side, you have:

[tex]4x+y[/tex]

To leave 4x by itself, you need to remove y by doing the opposite sign of it. Since it's +y, you need to -y(subtract y) from both sides.

[tex]4x+y-y = z-y \\ 4x=z-y[/tex]

Now the variable is alone. You have 4x and you need to find x alone. To do that, you need to divide both sides by 4.

[tex]\frac{4x}{4} = \frac{z-y}{4}[/tex]

Your answer is:

[tex]x = \frac{z-y}{4}\ \checkmark[/tex]

If you have any questions, feel free to ask! :)

Answer : The expression for the given statement is [tex]5\leq 4x-2.5[/tex]

Step-by-step explanation :

We are given a statement:

5 is no greater than 4 times a number x minus 2.5

'no greater than' in the above statement means [tex]\leq[/tex].

'minus' in the above statement means subtraction operation.

'times' in the above statement means multiplication operation.

Thus, the expression for the given statement is [tex]5\leq 4x-2.5[/tex]

The value of 'x' will be,

[tex]5\leq 4x-2.5\\\\\5+2.5\leq 4x\\\\7.5\leq 4x\\\\x\geq 1.875[/tex]

We want to write the given statement as an inequality, and then solve it.

The inequality is: 5 ≤ 4*x - 2.5

The solution is: 1.875 ≤ x

The given statement is:

"5 is not greater than 4 times a number x minus 2.5"

The "5 is not greater than..." is written as:

5 ≤

So 5 is smaller than or equal to the thing at the right.

The complete inequality will be:

5 ≤ 4*x - 2.5

Now to solve this, we start by adding 2.5 in both sides:

5 + 2.5 ≤ 4*x

7.5 ≤ 4*x

Now dividing both sides by 4 we get:

7.5/4 ≤ x

1.875 ≤ x

If you want to learn more, you can read:

https://brainly.com/question/20383699

To answer this, you will first need to simply the expressions.

[tex]4\sqrt{27} = 12\sqrt{3}[/tex]

[tex]6\sqrt{75} = 30\sqrt{3}[/tex]

Now with the expressions simplified, you'll add the two together getting [tex]42\sqrt{3}[/tex]

So firstly, we have to simplify the radicals. Using the product rule of radicals, simplify these radicals as such:

4√27 = 4 × √9 × √3 = 4 × 3 × √3 = 12√3

6√75 = 6 × √5 × √15 = 6 × √5 × √5 × √3 = 6 × 5 × √3 = 30√3

Now, add these two simplified radicals as such:

12√3 + 30√3 = 42√3

42√3 is your final answer.

speed=d/t=200X2/5=80km/hr

d=sXt=13X80/4=260km

865/110=173/22hr=173X60/22=173X30/11=467min

Answer : option A

To find the range of scores that represents the middle 50 % of the student who took the test , we find inter quartile

Inter quartile range is the middle 50% of the given range of scores.

The difference between the upper quartile and lower quartile is the inter quartile that is middle 50%

From the diagram , we can see that

Upper quartile = 89

lower quartile = 65

So range is 65%  to 89%

[tex]\left(\dfrac{1}{3}\right)^2\cdot\left(\dfrac{1}{3}\right)^x=\dfrac{1}{729}\\\\\left(\dfrac{1}{3}\right)^{2+x}=\left(\dfrac{1}{3}\right)^6\iff2+x=6\ \ \ \ |-2\\\\\boxed{x=4}\\\\\text{used:}\\\\a^n\cdot a^m=a^{n+m}[/tex]

Answer:

the answer is y=1/2

Step-by-step explanation:

Answer:the answer is y=1/2

Step-by-step explanation:

(a) 32 orange marbles

the ratio of red : blue = 18 : 48 = 3 : 8 ( in simplest form )

the ratio of green : orange = 3 : 8 ( equal ratio )

divide green by 3 to obtain 1 part of ratio then multiply this value by 8 to obtain the amount of orange marbles

3 parts → 12

8 parts → 12 × [tex]\frac{8}{3}[/tex] = 32 orange marbles

1. d. d = 66t

The maximum speed of the wildebeest is v=66 ft/s. Speed is defined as the ratio between the distance covered (d) and the time taken (t):

[tex]v=\frac{d}{t}[/tex]

Re-arranging the formula, we get

[tex]d=vt[/tex]

And substituting v=66 ft/s, we find

[tex]d=66t[/tex]

2. c. y = 5 - n

In fact, we can check that this rule satisfies all the numbers of the sequence:

n=3 --> y = 5 - 3 = 2

n=4 --> y = 5 - 4 = 1

n=5 --> y = 5 - 5 = 0

n=6 --> y = 5 - 6 = -1

3. d. $5.50, $11.00, $16.50; E = 5.50h

In fact, if we use the rule E=5.50 h, we see that the table is completed as follows:

h=1 --> E=(5.50)(1 h)=5.50$

h=2 --> E=(5.50)(2 h)=11.00 $

h=3 --> E=(5.50)(3 h)=16.50$

h=4 --> E=(5.50)(4 h)=22.00$

h=5 --> E=(5.50)(5 h)=27.50$

4. c. if d ≥ 5 then C = 4.70d, if d < 5 then C = 4.70d - 1; $17.80, $32.90

If the number of days is more than 5, the cost is 4.70$ per day, therefore c=4.70d (where d is the number of days); if the number of days is less than 5, one dollar is returned, so the cost will be C=4.70d-1. By applying this rule, we can calculate the rental cost after d=4 days and d=7 days:

- d=4 --> c=4.70*4-1=17.80$

- d=7 --> c=4.70*7=32.90$

5. b. y = 3x + 3

In fact, we can check this is the correct rule by substituting the numbers:

x=0 --> y=3*0+3=3

x=1 --> y=3*1+3=6

x=2 --> y=3*2+3=9

x=3 --> y=3*3+3=12

x=4 --> y=3*4+3=15

7. x -2 -1 0 1 2

y (-16 ) (-6 ) (4 ) (14 ) (24 )

The rule we have to apply is:

-10x + y = 4

Re-arranging it, we can solve for y:

y = 10x + 4

So, let's substitute the different values of x:

x=-2 --> 10*(-2)+4=-20+4= -16

x=-1 --> 10*(-1)+4=-10+4= -6

x=0 --> 10*0+4= 4

x=1 --> 10*1+4=10+4= 14

x=2 --> 10*2 +4 =20+4 = 24

8. y = -5x - 1

In fact, if substitute the different values of x given by the problem, we find:

x = -2 --> y = -5*(-2) -1= 10 -1 = 9

x = -1 --> y = -5*(-1) -1 = 5 -1 = 4

x = 0 --> y = -5*0 -1 = -1

x = 1 --> y = -5*1 - 1 = -6

x = 2 --> y = -5*2 -1 = -11

Answer:

1)  D

2) C

3) D

4) C

5) B

6) B

Step-by-step explanation:

Answer: B) 122 and 58

Supplementary angles add to 180 degrees. In other words, they form a straight angle or a straight line when you combine them together (make sure they don't overlap and that there isn't any gap between them).

Choice B is the only pair of angles where they add to 180 since 122+58 = 180. The values in choice A and choice D add to 90; the values in choice C adds to 270.

Note: complementary angles add to 90 degrees. One way to remember "supplementary" vs "complementary" is to think "S for straight, C for corner". By "corner", I mean a 90 degree corner.