Answer:
i think x=31.5
Step-by-step explanation:
the answer is x = 31.5
Two gears are both connected to the same belt. The smaller of the two gears has a radius of 4ft & the larger of the two gears has a radius of 7 ft. The larger gear is turning at a rate of 50 revolutions per minute. What is the angular velocity of the larger gear in radians/second? What is the angular velocity of the smaller gear in radians/second?
Answer:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex] and [tex] \omega_2 = \frac{35Rad}{12s}[/tex]
Step-by-step explanation:
Given that the larger gear is turning at the rate 50rpm. The angular velocity, [tex]\omega_1[/tex], of the larger gear can be calculated as follows:
[tex]\omega_1 = \frac{50rev}{m} [/tex] to convert that to secs, we know that 1 rev = 2πRad and 60secs make a min, so we have:
[tex]\omega_1 = \frac{50rev}{m} \times \frac{2\pi Rad}{1rev} \times \frac{1m}{60s} [/tex]
That gives
[tex]\omega_1 = \frac{100Rad}{60s}[/tex]
Which gives:
[tex]\omega_1 = \frac{5Rad}{3s}[/tex]
This is the angular velocity of the larger gear in rads/sec.
In order to get the angular velocity of the smaller gear, we know from the question that both gear are connected to the same belt. This implies that they have the same linear velocity. Thus let us find the linear velocity of the larger gear. This is given by
[tex]v = r_1 \times \omega_1[/tex] where v stands for linear velocity and [tex]r_1[/tex] for radius of larger velocity.
We are given the radius of the larger gear as 7ft so we have
[tex]v = 7ft \times \frac{5Rad}{3s} = \frac{35ft}{3s}[/tex]
To get the angular velocity of the smaller gear, we use
[tex]v = r_2 \times \omega_2[/tex] where [tex]r_2[/tex] is the radius of the smaller gear which is given as 4.
Since linear velocity is the same, we have
[tex] \omega_2 = \frac{35ft}{4 \times 3s}[/tex]
[tex] \omega_2 = \frac{35Rad}{12s}[/tex]
Which of the following is used to represent a known value for the
population variance?
A. s
Β. σ
C. σ²
D. s²
Answer:
c
Step-by-step explanation:
-4х + 9y = 9
x - Зу = -6
Answer:
x= 9 y = 5, your welcome
Answer: x = 9 y = 5
Step-by-step explanation: I like to use elimination for problems like these. Start by multiplying everything in the second equation (x - 3y = -6) by 4. Your equation should then look like this: 4x - 12y = -24
Now add the two equations as if they were two numbers:
-4x + 9y = 9
4x - 12y = -24
Your x's will cancel out and 9y + -12y = -3y and 9 + -24 = -15. This will make your new equation look like:
-3y = -15
Divide both sides by -3 and you get that y = 5
Substitute 5 in for y for any of the original given equations and solve:
-4x + 9y = 9
-4x + 9(5) = 9
-4x + 45 = 9
-4x = -36
x = 9
Which is the value for 54 . 3 ÷ 10 0 54.3÷100? A. 0.543 B. 5.43 C. 54.3 D. 543
Answer: The answer is acually 54.3
Step-by-step explanation: cause I did it
292500 rounded to the nearest 1000
Answer:
293000
Step-by-step explanation:
Since were rounding to the nearest thousand, we're looking at the hundred digit. If it's 5 or great, we round up. If it's 4 or less, we round down.
In this case, it's 5. So we round 292500 up to 293000
10 plus 10 30 times 30
Answer:
10+10=20
30x30= 900
Step-by-step explanation:
Answer:
900 plus 20 so
Step-by-step explanation:]
answer is 920
PLEASE HELP ME ??!!!!!
Answer:
um i am pretty sure it is c
Step-by-step explanation:
8) Shawna had $20 to spend on six pencils. After buying them she had
$2. How much did each pencil cost?
Answer: They were $6 each
Step-by-step explanation:
20-2=18
18/3=$6
Answer:
$3
Step-by-step explanation:
Since we know that there was $2 that she didn't use, we can subtract that from $20 to get $18 that was used (20 - 2 = 18)
We then divide 18 by 6 because she bought six pencils (18/6 = 3)
Each pencil costs $3
Hope this helps!
Edit: I saw your comment how you need to do the equation so here it is
(20 - 2)/6 = 3 (I could be wrong, but using my explanation and the information you gave, this would be correct)
f(x) = 3(0.09)X6
11. (04.05 LC)
When the function f(x)
3(5)X is changed to f(x) = 3(5)* + 22, what is the effect? (5 points)
There will be no change to the graph because the exponential portion of the function remain
The y-intercept is 22 spaces higher.
Answer: The y-intercept is 22 spaces higher.
Step-by-step explanation: Given function is .
And transformed function equation .
We can see 22 is being added to the given function f(x) to get the transformed function.
Note: According to transformation rule, y = f(x) +k shift k units up.
22 is being added to the original function. So, function would shift 22 units up that is y-intercept is 22 spaces higher.
Therefore , correct option is : The y-intercept is 22 spaces higher.
Answer:
the y-intercept is 22 spaces higher.
Step-by-step explanation:
Since f(x) = y, when f(x) is increased 22 spaces, it goes upward on the y-axis 22 spaces.
I hope this helps!
Fine slope intercept form
y = x+7 (2, 3)
Help please and thanks
Answer:
y=x7 X 5
Step-by-step explanation:
Jackie solved the equation by completing the square.
x^2−8x+14=0
Which equation shows one of the steps Jackie could have taken to complete the square?
Question 1 options:
x^2−8x+64=−14
x^2−8x+16=−14
x^2−8x+64=−14+64
x^2−8x+16=−14+16
Katrina's mother is 2 inches shorter than her father, Katrina is 2 inches shorter than her mother, and Katrina's brother is 2 inches shorter than Katrina. Which best represents the change in height from Katrina's father to her brother?
–8 inches
–6 inches
6 inches
8 inches
Answer:
-6 inches
Step-by-step explanation:
M = Mother
F = Father
K = Katrina
B = Brother
F-2=M
M-2=K
K-2=B
Add the amount of change between each person to get -6 inches.
Answer:
-6
Step-by-step explanation:
There are 50 cars on display at a car show. Of these,18 were manufactured before 1945. What percent of the cars were manufactured before 1945?
Answer:
36%
Step-by-step explanation:
The total number of cars is 50 and 18 were manufactured before 1945
Let's set up a fraction
18/50
A percent should be out of 100 so let's change the denominator to 100
18/50 (times 2 for 18 and 50 to get 50 to 100)= 36/100
36/100 is 36%
OR
divide 18 by 50 because the fraction line is like a division symbol
that equals 0.36, times 100 to get 36%
Write the equation of a line through (0,2) that is parallel to the graph
Answer:
y=3x+2
Step-by-step explanation:
Refer to the picture that given :)
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ7
WORTH BRAINLIEST!
of you help me
Answer:
8. [tex]\frac{55}{-11} \\[/tex]
9. -38 ÷ 19
10. -4 ÷ -2
11. 190° im pretty sure
Step-by-step explanation:
One night a theater sold 540 movie tickets. An adult's ticket costs $8 and a child's ticket costs $5. In total, the theater earned $2880. How many adult tickets and child tickets were sold?
Answer:
are there any answer choices
Answer:
3433 tickets
ithink
Step-by-step explanation:
A family is on a road trip. The speed limit during the first 145 miles of the trip is 60 mph, and the speed
limit during the last 190 miles is 65 mph. How many miles per hour over the speed limits must they drive in
order to arrive at their destination in 5 hours?
Answer:
first 145 mile 7mph
next 190miles 2mph
Step-by-step explanation:
total distance to be covered = 145+190=335miles
time = distance/speed
first 145 miles
time = 145/60 =2.41hr
next 190 miles
time = 190/65 = 2.92hr
Total time = 2.41+2.92 = 5.33hr
but we need to cover the entire distance in 5hr
Speed = distance /time
= 335/5 = 67mph
That means in first 145 mile the speed over the speed limit will be 67-60= 7mph
similarly in the next 190miles speed over speed limit will be 65 - 67 = 2mph.
what is 8.275 rounded to the nearest hundredth.
Answer:
8.3
Step-by-step explanation:
Answer:
8.28
Step-by-step explanation:
Find the number in the hundredth place 7 and look one place to the right for the rounding digit 5 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
Pls rate brainiest
yay! tysm guys for helping me on this test! i got a 85! :)
Answer:
Proud of you!! <3 :)
Step-by-step explanation:
What I need to know is how to find angels of a parallelogram.
Answer:There are six important properties of parallelograms to know:
Opposite sides are congruent (AB = DC).
Opposite angels are congruent (D = B).
Consecutive angles are supplementary (A + D = 180°).
If one angle is right, then all angles are right.
The diagonals of a parallelogram bisect each other.
Each diagonal of a parallelogram separates it into two congruent
Step-by-step explanation: sorry if this help good luck ;)
Eliza bought a meal that cost $12.00. She tipped the waiter 25% of that amount. How much was her total after tip?
Answer:
$15
Step-by-step explanation:
12 x .25 = 3
12 + 3 = 15
A chord PQ of length 13cm is drawn in a circle with center C and a radius of 10.2cm.
Find;
i) Angle PCQ
ii)The area of the sector PQRC
iii)The area of the minor segment
Esme plans to flip a fair coin 3 times and record the results of each flip.
What is the probability that the coin lands with the heads side up on all 3 flips?
Answer:
Required Answer:-Sample space=s={HHH,TTT,HTT,THT,HHT,TTH}
|s|=6
Probability =[tex]{\dfrac {1}{6}}[/tex]
i need help
-3x-(2x+6)
Answer:
−5−6
Step-by-step explanation:
Hope this helps c:
Answer:
-5x - 6
Step-by-step explanation:
-3x - ( 2x + 6 )
Distribute the (-) sign
-3x - ( 2x + 6 )
-3x - 2x - 6
Simplify
-3x - 2x - 6
-5x - 6
Determine if the triangles are congruent. If they are, state how you know.
Answer:
1 - SSS
Step-by-step explanation:
We need either two sides one angle, two angles one side, or three sides to prove congruency. In this case we have 3 sides so therefore this is congruent by the SSS theorem.
Answer:
SSS
Step-by-step explanation:
They are congruent, you can tell by the 'tick marks'.
Andre rode his bike at a constant speed. He rode 1 mile in 5 minutes. Which of these equations represents the amount of time t (in minutes) that it takes him to ride a distance of d miles?
t = 5d
t = 1/5d
t = d + 4
t = d - 4
Answer:
the first one
Step-by-step explanation:
Answer:
A) t=5d
Step-by-step explanation:
Since the problem states "He rode 1 mile in 5 minutes", that means for every mile Andre travels, it will take him 5 minutes for each mile.
Therefore, the equation that best works is t=5d because the coefficient is 5 where it's the slope representing 5 minutes per mile.
In (2x-3) +In (3x+4)
Answer: x=7
Step-by-step explanation: is that what you're looking for?
What is the frequency of the sinusoidal graph?
Answer:
[tex]\frac{3}{2\pi }[/tex]
Step-by-step explanation:
How do I solve this equation and check the solutions?
[tex] : \implies \sf {\big( \sqrt{20 - 8x} \:\big)}^{2} = x^2 \\ \\ [/tex]
[tex]:\implies \sf {20 - 8x} = {x}^{2} \\ \\ [/tex]
Solving quadratic equation :[tex] : \implies\sf{ {x}^{2} + 8x - 20 = 0 } \\ \\ [/tex]
[tex]: \implies\sf{ {x}^{2} + (10 - 2)x - 20 = 0 } \\ \\ [/tex]
[tex]: \implies\sf{ {x}^{2} + 10x - 2x - 20 = 0 } \\ \\ [/tex]
[tex] : \implies\sf{ x(x + 10) - 2(x + 10 )= 0 } \\ \\ [/tex]
[tex] :\implies\sf{( x + 10 )(x - 2)= 0 } \\ \\[/tex]
[tex] : \implies\sf x + 10 = 0 \: or \: x - 2 = 0 \\ \\ [/tex]
[tex]: \implies\sf x = 0 - 10\: or \: x = 0 + 2\\ \\ [/tex]
[tex]: \implies \underline{\boxed{ \bf{x = - 10 \: or \: x = 2}}}[/tex]
[tex]\huge {\therefore} [/tex] The roots of this equation are -10 and 2.
Answer:
x = -10x = 2I hope this helps!