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3 years ago

A new roller coaster is set to open at an amusement park. Due to the height and speed of the roller

Mathematics

1 answer:

ANEK [815]3 years ago

4 0

Answer:

48cm<h

Step-by-step explanation:

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Help me now !!!!!<br> help i need help

iren2701 [21]

cylinder:

V = πr²h

V = 3.14(2)² * 3

V = 3.14(4) * 3

V = 3.14(12)

V = 37.7m³

rectangular prism:

V = lwh

V = (2.4)(9)(5)

V = 108m³

the entirety of the sculpture:

V = volume of cylinder + volume of rectangular prism

V = 37.7 + 108

4 0

2 years ago

Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w

Savatey [412]

Answer:

a. $y= 130x + 350 + \epsilon$

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

$y=\alpha x + \beta + \epsilon$

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

$\alpha = 130$ y $\beta = 350$ Obtaining:

$y= 130x + 350 + \epsilon$ .

b. In a simple linear regression model the value of y-bar represents the average of all values of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

5 0

3 years ago

What is sum of -3x^2 - 7x + 9 and - 5x^2 + 6x - 4

valkas [14]

-8x2-x +5 hope this helps

8 0

3 years ago

Which of these systems of equations would be best solved using the subtraction method?

Lynna [10]

Answer:

Step-by-step explanation:

1. x+2y=6 or x=6-2y

3x-2y=2

3(6-2y)-2y=2

18-6y-2y=2

18-8y=2

-8y=-18+2

-8y=-16

y=-16/-8

y=2 ans.

x+2*2=6

x+4=6

x=6-4=2 ans.

Proof:

3*2-2*2=2

6-4=2

2=2

I leave the rest for you to practice with.

3. 4x+y=7

2x+5y=-1

5. 3x+2y=-2

6x-y=6

Solve the system using the elimination method. Show all your steps.

7. -3x+3y=3

3x+y=9 add.

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

4y=12

y=12/4

y=3 ans.

3x+3=9

3x=9-3

3x=6

x=6/3

x=2 ans.

Proof:

-3*2+3*3=3

-6+9=3

3=3

I'll leave the rest for practice.

9. -5x+12y=20

x-2y=-6

11. 3x+2y=1

4x+ 6y= 7

4 0

3 years ago

Your friend claims that it is possible to draw a right triangle where the cosine of either angle (theta) is exactly the same val

avanturin [10]

Answer:

B. No

$Cos \ \theta\neq Cos (90-\theta)\textdegree$

Step-by-step explanation:

-A right angle triangle has two complimentary acute angles and one right angle.

- $\theta$ is usually one of the acute angles and is equivalent to 90º minus it's complimentary acute angle.

-Complimentary angles add up to 90º.

#For complimentary angles:

$Sin \ \theta=Cos \ (90-\theta)\textdegree\\\\Cos \ \theta=Sin(90-\theta)\textdegree\\\\\therefore Cos \ \theta\neq Cos (90-\theta)\textdegree$

The two acute angles cannot have the same Cosine value.

Hence, she's not correct.

5 0

3 years ago