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Alex17521 [72]
2 years ago
13

What is the measure of angle y? 12 pts.) 52° Y show ur work 30 points

Mathematics
1 answer:
erik [133]2 years ago
8 0

Answer:

y = 40

Step-by-step explanation:

one angle: 12

other angle: 52

An angle would have to be there to add with the 12 to get the 52 and that subtraction answer would be what is equal to Y

52 -12 = 40

Y = 40

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The population at Bishop High School is 2000 students in 2011. Every year the population decreases by 50 students
Artemon [7]

Answer:

  • Let p be the population at t be the number of years since 2011.  Then, p=2000-50t
  • The projected population of the high school in 2015=1800
  • In <u>2019</u> the population be 1600 students

Step-by-step explanation:

Given: The population at Bishop High School students in 2011 =2000

Also,  Every year the population decreases by 50 students which implies the rate of decrease in population is constant.

So, the function is a linear function.

Let p be the population at t be the number of years since 2011.

Then, p=2000-50t

So at t=0, p=2000

In year 2015, t=4, substitute t=4 in the above equation ,we get

p=2000-50(4)\\\Rightarrow\ p=2000-200\\\Rightarrow\ p=1800

Hence, the projected population of the high school in 2015=1800

Now, put p=1600 in the function , we get

1600=2000-50t\\\Rightarrow50t=2000-1600\\\Rightarrow50t=400\\\Rightarrow\ t=\frac{400}{50}\\\Rightarrow\ t=8

Now, 2011+8=2019

Hence, in <u>2019</u> the population be 1600 students




6 0
3 years ago
Jaxon and Lucius were selling lemonade. Jaxon and Lucius have a difference of 5 cups sold. Jaxon was selling his for $6 a cup an
dimaraw [331]

Answer:

the points are (35,30) you may need to search a graph online i used desmos

Step-by-step explanation:

1.     x= Jacksons Cups   y= Lucius Cups2.       x -  y= 5           6x + 3y = 300Substitution:                                                 6 (y+5) + 3y = 300             6y + 30 + 3y = 300                9y =   270                dived both by 9                         y=30        Sub y for other equation            x - 30 = 5         add 30 to both sides           x = 35        Answer:   (35, 30)     Graphing:   x- y = 56x+ 3y = 300solve both for y y = x-5 6x + 3y = 300minus 6x from both sides the points are in y = mx + b y= 1x -5 y= -2x + 100  I will also leave the ss of the graph in the comments if you cannot see it  My labels for the x-axis is Jacksons cups and y Is luscious cups.  Elimination:x - y = 5 6x + 3y = 300 First I manipulated the equations by the following    - 6 (x - y = 5 )   1(6x  + 3y = 300 )      -6x + 6y = -30        6x + 3y  = 300          The 6 x's cancel  and add the y's and real numbers together           9y = 270           dived both by 9                   y= 30        Sub y for other equation                      x - 30 = 6                add 30 to both sides                x= 30  The points are  (35, 30) The solution is (35,30)They represent how many cups they sold.   35 is Jackson cups and 30 is Lucious's cups  

7 0
3 years ago
Pentagon OPQRS is shown on the coordinate plane below:
sertanlavr [38]

Answer:

Multiply the coordinates of point P by the scale factor 7/4  to get the coordinates of P'.

Given : P(-5,3)

P' (x,y) = P (-5 x 7/4 , 3 x 7/4)

           = P(-8.75, 5.25)

Step-by-step explanation:

8 0
3 years ago
How do you do this question?
r-ruslan [8.4K]

Step-by-step explanation:

y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1

dy/dx = 12√x

Arc length is:

s = ∫ ds

s = ∫₀¹ √(1 + (dy/dx)²) dx

s = ∫₀¹ √(1 + (12√x)²) dx

s = ∫₀¹ √(1 + 144x) dx

If u = 1 + 144x, then du = 144 dx.

s = 1/144 ∫ √u du

s = 1/144 (⅔ u^(³/₂))

s = 1/216 u^(³/₂)

Substitute back:

s = 1/216 (1 + 144x)^(³/₂)

Evaluate between x=0 and x=1.

s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]

s = 1/216 (145)^(³/₂) − 1/216

s = (145√145 − 1) / 216

5 0
3 years ago
N - 4 = 3n + 6<br> what number does n represent?
pav-90 [236]

Answer:

n = -5

Step-by-step explanation:

n - 4 = 3n + 6

n = 3n + 10

-2n = 10

n = -5

7 0
3 years ago
Read 2 more answers
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