Answer:
94.7 revolutions
Step-by-step explanation:
In the question above, we are given the following values for the fan
Angular velocity = 6.2 radians per seconds
Time = 1.6 minutes.
Step 1
We would convert the time given to seconds
1 minute = 60 seconds
1.6 minutes = ?
We cross multiply
1.6 minutes × 60 seconds
= 96 seconds
Step 2
Number of revolutions made by the fan is calculated as :
Angular velocity(rad/s)
× time(seconds)
Number of revolutions = 6.2 radians per seconds × 96 seconds
=595.2 radians
Converting from radians to revolution
1 radian = 0.159155 revolutions
595.2 radians =
Cross multiply
= 595.2 radians × 0.159155 revolutions
= 94.729056 revolutions.
Approximately to the nearest tenth = 94.7 revolutions.
Therefore, the number of revolutions the fan blade makes in 1.6 minutes is 94.7 revolutions.
1.6 minutes is 1.6 x 60 = 96 seconds.
Its angular velocity is 6.2 radians per second: 6.2 radians/second x 96 seconds = 595.2 radians.
One revolution of the fan is one circumference of the fan, which is 2pi radians.
Dividing 595.2 radians by 2pi radians gives us an answer of 94.7 revolutions.
(9x2+3x-5) - (3x2+4x-10)
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
Which could be the area of a face of the rectangular prism?
A rectangular prism with a length of 3 meters, width of 4 meters, and height of 2 meters.
5 m2
6 m2
7 m2
9 m2
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:
What is the correct answer..
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]
Write a formula for quadratic function if its graph has the vertex at point (0,6) and passes through the point (−1,−2).
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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1. A three-dimensional figure that has one vertex and one circular base is known as a:
Answer:
cone
Step-by-step explanation:
Please help!!! i attached the problem.
Answer:
y>7.5
line under inequality sign.
Step-by-step explanation:
think: 1 cartoon = 1
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?
Solve for x: 3x − 2 > 5x + 10.
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)
5
Amelia and Roger both
found the volume of the sphere
below. Determine which
student correctly determined
the volume of the sphere.
3 cm
AMELIA
113.10 cm
ROGER
14.14 cm
Answer: the last one
Step-by-step explanation:
The diagram below shows ΔPQT; its altitude, which is segment PR ; and some of its measurements.
(a) What is mTPR? Show or explain how you got your answer.
For Parts (b), (c), and (d), write the exact answer in simplified radical form.
(b) What is the length, in inches, of segment PR? Explain your answer.
(c) What is the length, in inches, of segment TR? Explain your answer.
(d) What is the length, in inches, of segment PQ? Explain your answer.
Answer:
i need some poitns plssss
1. A space figure with two parallel and congruent bases can be any of these except a
A cone
B prism
c cylinder
Dcube
Answer:
C. cylinder
Step-by-step explanation:
i hope this help
Solve for m.
-7 + 4m + 10 = 15 -2m
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.
Write a linear equation from a slope and a point
Someone please help me. I’m not good at mah but I would be thankful for ur help.
Answer:
1. 44 inches
hope this helps :)
Determine whether each statement is true or false.
(FINALEXAM)
Answer:
1. False
2. True
Step-by-step explanation:
Which has a value closest to 9?
✓99
V83
VIO
V63
Answer:
[tex]\sqrt{83\\}[/tex] has the closet value to 9 bc its 9.11
Which of the following inequalities is correct?
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
Starting the first week of January, Mari puts $1.50 in her coin bank every week. How much money will she have at the end of the year?
A.
$18.00
B.
$63.00
C.
$78.00
D.
$72.00
BRAINLIEST ANYTHING!!
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
Stephanie and alejandro
were planning thier wedding.
Stephine saved up four times.
more money than alejandro
because he lost his job at walmart. Together $15,600 How much did each one save ?
steps ?
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
: )
A circle has a radius of 5/3 units and is centered at (9.2 -7.4)
Write the equation of the Circle.
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
Which graph represents -x+ 8y > - 24
Kind of need a picture to help answer the question.
Ken baked a pan of brownies for a potluck. The number of squares he cuts the brownies into will depend on the number of people attending the potluck. s = the number of squares Ken cuts the brownies into. p = the number of people attending the potluck. Which of the variables is independent and which is dependent?
Answer:
P is the independent variable while S is the dependent variable
Hope this Helps :)
What is the value of x, tanx=7 to the nearest hundredth?
a. 54.94 degrees
b. 56.94 degrees
c. 81.87 degrees
d. 85.94 degrees
the answer is C. 81.87
Find the area of a circle whose circumference is 87 m.
A. 4 m 2
B. 8 m2
C. 16 m2
D. 64 m2
Answer:
None of those are right, the answer is about 602.32 m2
Step-by-step explanation:
Which best describes the y coordinate of a point
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:
Please Help Now Running out of time! In Sal’s sock drawer, there are 2 red, 2 blue, 2 yellow, 2 black, and 2 green socks. If he randomly picks one sock from the drawer, and then another, which fractions should Sal multiply to find the probability of choosing a pair of green socks?
Answer:
Step-by-step explanation:
C
Answer:
C
Step-by-step explanation:
2/10 1/9
The value of x 3y, for x = -2 and y = 3, is -24. True False
Answer:
true
Step-by-step explanation:
x^3 y when x = -2 and y = 3
(-2)^3 * 3
-8 *3
-24
This is true
Please help it’s timed
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.
What is the IQR (interquartile range) for the following data? 7, 9, 13, 4, 18, 3, 9, 10, 15, 8, 2, 6, 9
The IQR (interquartile range) is mathematically given as
IQR=9
What is the IQR (interquartile range)?
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
Read more about Arithmetic
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of the following numbers, which has the most factors of 3?
a) 81
b) 270
c) 999
d) 3333
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.
Learn more about Factors here:
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