The angular velocity of a fan blade is 6.2 radians per second.


Approximately how many revolutions does the fan blade make in 1.6 minutes?


Enter your answer, rounded to the nearest tenth of a revolution

Answer:

y = - 8x² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (0, 6), thus

y = a(x - 0)² + 6, that is

y = ax² + 6

To find a substitute (- 1, - 2) into the equation

- 2 = a(- 1)² + 6, that is

- 2 = a + 6 ( subtract 6 from both sides )

- 8 = a

y = - 8x² + 6

The formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

A quadratic function is represented as:

[tex]y = a(x - h)^2 + k[/tex]

The vertex of the quadratic function is given as:

[tex](h,k) = (0,6)[/tex]

So, we have:

[tex]y = a(x - 0)^2 + 6[/tex]

This gives:

[tex]y = ax^2 + 6[/tex]

The quadratic function passes through (-1,-2).

So, we have:

[tex]-2 = a(-1)^2 + 6[/tex]

[tex]-2 = a + 6[/tex]

Subtract 6 from both sides

[tex]a = -8[/tex]

Substitute -8 for a in [tex]y = ax^2 + 6[/tex]

[tex]y = -8x^2 + 6[/tex]

Hence, the formula of the quadratic function is [tex]y = -8x^2 + 6[/tex]

Read more about quadratic functions at:

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Answer:

true

Step-by-step explanation:

x^3 y when x = -2 and y = 3

(-2)^3  * 3

-8 *3

-24

This is true

The IQR (interquartile range) is mathematically given as

IQR=9

Question Parameters:

Sample data 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9

Sample size13

Generally, the equation for the  IQR (interquartile range)  is mathematically given as

IQR=Q3-Q1

Therefore

IQR=37-28

IQR=9

In conclusion, the IQR (interquartile range) is

IQR=9

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Answer:

(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2

Step-by-step explanation:

We start with (x - h)^2 + (y - k)^2 = r^2.  The center is (h, k) and the radius is r.

Then we have:

(x - 9.2)^2 + (y + 7.4)^2 = (5/3)^2

Answer:

y>7.5

line under inequality sign.

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

I'm assuming x is supposed to be a multiplication sign.

You need to use PEMDAS for this:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

(9x2+3x-5)-(3x2+4x-10)=

(18-15)-(6-40)=

3-(-36)=

3+36=

39

Answer:

1 cartoon = 1 dance

Step-by-step explanation:

Not sure what the question asks for?

Answer:

SpongeBob

Step-by-step explanation:

Is that what you wanted?

Answer:

C

Step-by-step explanation:

52 weeks of the year * 1.5

Answer:

The answer is C $78.00 because 52 times 1.50 equals 78 so if you couldn't the amount of weeks from january to december 31 it equals 52.

Step-by-step explanation:52 times 1.50 =78

Answer:

Step-by-step explanation:

C

Answer:

C

Step-by-step explanation:

2/10 1/9

Answer:

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"

Step-by-step explanation:

Answer:

C. cylinder

Step-by-step explanation:

i hope this help

Answer:

[tex]\sqrt{83\\}[/tex] has the closet value to 9 bc its 9.11

Answer:

[tex]6m^{2}[/tex]

Step-by-step explanation:

well we are looking for a face of the rectangular prism.

the front face of the rectangular prism is length times height

which is 3 times 2 = [tex]6^{2}[/tex]

if we did any other face, like the side which is width times height ( 8 meters) it is not one of the answers.

so the only face that can be answers is length times height.

therefore the answer is

6m^2

i rly hope this helps!! :)

Answer:

the answer is B .

Step-by-step explanation:

Answer: the last one

Step-by-step explanation:

Answer:

P is the independent variable while S is the dependent variable

Hope this Helps :)

Answer:

1. 44 inches

hope this helps :)

Answer:

M=2

Step-by-step explanation:

m=2 Make sure to move the terms, then collect the like terms, then subtract, then divide both sides by 6

Answer:

m = 2.

Step-by-step explanation:

-7 + 4m + 10 = 15 - 2m

4m + 2m = 15 + 7 - 10

6m = 12

m = 2.

Answer: hopefully this is what you need

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality form:

X < -6

Interval Notation:

(-♾, -6)

Answer:

64 feet

Step-by-step explanation:

To find the height of the kite we use sin trigonometric ratio.

Let the height of the kite from the ground be x feet.

[tex] \therefore \: \sin 40 \degree = \frac{x}{100} \\ \\ \therefore \: 0.6427876097= \frac{x}{100} \\ \\ \therefore \: 0.6427876097 \times 100= x \\ \\ \therefore \:x = 64.29 \\ \\ \therefore \:x = 64 \: feet[/tex]

Answer:

81 has the most factors of 3

Step-by-step explanation:

To conclude which of the following options has the most factors of 3, take each of the number's prime factorization, which will help us solve the problem.

( 1 ) 81 is a composite number and is 9 squared. Knowing that 3 squared = 9, we can say that the prime factorization of 81 = 3 [tex]*[/tex] 3 [tex]*[/tex] 3 [tex]*[/tex] 3, which can also be denoted as 3⁴.

( 2 ) 270 is a composite number. The exponents in the prime factorization are 1, 3, and 1, and therefore it's prime factorization is - 3 [tex]*[/tex] 5 [tex]*[/tex] 3 [tex]*[/tex] 2 [tex]*[/tex] 3, composed of 3 3s.

( 3 ) If we put all of it together we have the factors 3 x 3 x 3 x 37 = 999. It can also be written in exponential form, with 3 to the power of 3 - hence having 3 factors of 3.

And finally the value 3333 has the prime factorization of 3 [tex]*[/tex] 11 [tex]*[/tex] 101, and as you can see it has 1 factor of 3. 81, having 4 factors of 3, is present with the most factors, and therefore is our solution.

Number 81 has the most number of factor 3. Option A is correct.

A number from the options to be determined that has the most number of factor 3.

factors can be defined by splitting the value into multipliable values.

Here,
Factors of 81 = 3,3,3,3            Number of factor 3 = 4
Factors of 270 =2,3,3,3,5       Number of factor 3 = 3  
Factors of 999 =3,3,11             Number of factor 3 = 2
Factors of 3333 = 3,11             Number of factor 3 = 1
As per the above comparison, 81 has the most number of factor 3.

Thus, Number 81 has the most number of factors 3.

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#SPJ2

the answer is C. 81.87

Answer:

i need some poitns plssss

Answer:

cone

Step-by-step explanation:

Answer:

Stephanie saved

Step-by-step explanation:

x+4x=15600

5x=15600

divide by 5 on both sides

you get 3120

since stephanie got 4 times more, you multiply 3120*4 and get 12480

therefore, Alejandro saved 3120

: )

Answer:

a < b < c

Step-by-step explanation:

a is -4, which is less than b, at 1, and c at 7.

If this answer is correct, please make me Brainliest!

Answer:

the answer is a it cant not be b,c

Answer:

y=45

x=90

Step-by-step explanation:

x is a right angle, y is vertical from 45 degrees making it congruent to it.

Answer:

C: x=90 y=45

Step-by-step explanation:

The place where x is is obviously a right angle therefore, it is 90. Then here is a diagonal line cutting through the 90 degrees in half. 90/2=45.

Answer:

1. False

2. True

Step-by-step explanation:

Kind of need a picture to help answer the question.

Answer:

None of those are right, the answer is about 602.32 m2

Step-by-step explanation: