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]
Hey luvs I need help with this please help me
Answer:
area of the big triangle is QS*RT, where we know the QS
so we need to derive the area of big triange
the big triange is sum of the larger triangle (QT*RT) + smaller one (TS*RT)
so RT*(5+2.2)=RT(5)+RT(2.2)
the rest is simple to solve
Step-by-step explanation:
Find the inverse of the function f(x) = 2x - 4
The correct answer is f^-1(x)=1/2x+2.
1. Substitute y for f(x). ( y=2x+4 )
2. Interchange the variables x and y. ( x=2y-4 )
3. Swap the sides. ( 2y-4=x )
4. Move the constant to the right. ( 2y=x+4 )
5. Divide both sides by 2. ( y=1/2x+2 )
6. Use substitution to substitute f^-1(x) for y.
Thus the inverse is f^-1(x)=1/2x+2
Need help plssssssssssss
Answer:
189
Step-by-step explanation:
⚠️WILL GIVE BRAINLIEST⚠️
Answer:
slope is m= -2slope is m= 4Step-by-step explanation:
PLEASE ANSWER THISS I NEED HELP ASAP!!
Answer:
- i
Step-by-step explanation:
i = √( - 1) ;
i³ = (√( - 1))(√( - 1))(√( - 1)) = - 1 (i) = - i
Witch is equavalent to 2/3 all that are true
3/4 and 8/12
Step-by-step explanation:
2/3 by 4 you get 3/4 then 3/4 times 4 equals 8/12
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to no more than $10.00. Which graph represents the number of whole pounds of peaches Albert can buy?
Answer:
He can buy 5 pounds of peaches.
Step-by-step explanation:
2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.
A turtle is 20 5/6 inches below the surface of the pond. It dives to a depth of 32 1/4. What is the change of the turtles posistion. HELP ASAP PLEAS AND THEANK YOU!
Answer:
I believe it's 11
Step-by-step explanation:
Sorry if I'm wrong
calculate each
!!!!!!!!!
Step-by-step explanation:
1. (4m² - 1.5m + 2) + (9m - 2m³ + 2m)
= 4m² - 1.5m + 2 + 9m - 2m³ + 2m
= 4m² + (-1.5m + 9m + 2m) + 2 + 2m³
= 4m² + 9.5m + 2 + 2m³
= 2m³ + 4m² + 9.5m + 2
2. (-3y + 2y² - 6) + (3y + 4y² + x)
= -3y + 2y² - 6 + 3y + 4y² + x
= (-3y + 3y) + (2y² + 4y²) - 6 + x
= 0y + 6y² - 6 + x
= 6y² - 6 + x
Need help!!! Worth 40 points!!!
look on google
Step-by-step explanation:
go on google
search the answer
then BOOM!
Answer:
The answer is the first option x(x-4)(x-1)/2(x+4).
Step-by-step explanation:
because when you simplify after multiplying the denominator is 2x+8 when you simplify that its 2(x+4) and for the numerator after multiplying you get x^3−5x^2+4x when you simply that you get x(x-4)(x-1). Answer would be x(x-4)(x-1)/2(x+4).
Please help im so confused rn :((
Answer:
1/144
Step-by-step explanation:
7/12÷14÷6=
can someone please help me
Need help pls like I really need help
Answer:
4
Step-by-step explanation:
PLZ MARK BRAINLIEST
Answer:
y=1.5x
Step-by-step explanation:
3/2=1.5
9/6=1.5
yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
plsss help
Answer:
49 words per minute
Step-by-step explanation:
2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute
May I get brainliest please? :)
Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.
What is Division?The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,
Typing speed of Yousef = 36 words/ (2/3) minutes
= (36×3)/2 words per minute
= 54 words per minute
Hence, the typing speed of Yousef in a minute is 54 words per minute.
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at Southside middle School 40% of the students play an instrument there are 305 students how many students play an instrument option a is 40 students option b is 140 students option c is 122 students option d is 256 students
Answer: D.
Step-by-step explanation:
Can it help you.
1-?
?-24
?-42
10-?
13-78
the table below shows an equivalent ratio. fill in the missing values
What is (-∞ , -1) ∪ [ 2 , +∞)
9514 1404 393
Answer:
interval notation for all numbers except those that are at least -1 and less than 2.
Step-by-step explanation:
The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...
-∞ < x < -1 . . . . . for a value represented by x
The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.
The brackets on the right indicate the interval ...
2 ≤ x < +∞ . . . . . for a value represented by x
The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.
By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.
explanation as well please
Answer:
25 miles an hour
Step-by-step explanation:
In half an hour they travel 12.5 miles, so in one hour they would travel 25 miles .
please tell me the answer
Answer:
(3.5, 3) and (0,-4)
Step-by-step explanation:
Zeros are the points that are on the x-intercept. The points not on the x-intercept are (3.5, 3) and (0,-4)
The Miller’s budget is $90,240 annually.If both Mr. and Mrs. Miler each work 160 hours per month, what is the average hourly wage needed to meet the budget?Round to the nearest cent.
Answer:
18
Step-by-step explanation:
a. y = 3/4x - 5 I'm confused on how I'm suppose to find the slope and y-intercept.
Answer:
The slope is 3/4 and the y-intercept is -5.
Step-by-step explanation:
Your equation is already in slope-intercept form, so all you have to do is look at it. Slope-intercept form looks like y = mx + b, where m is the slope and b is the y-intercept. Hope that helps!
What’s the value of c ? Just type in the answer!!!
Answer:
43
Step-by-step explanation:
someone help plz it is appreciated very much
Answer:
y=x+6 is the correct answer:)
Step-by-step explanation:
Which equation represents a line which is parallel to the line 5x-4y=-12?
Answer:
Attached image
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.
Which table contains only values that satisfy the equation
y = 0.25x + 8?
Answer:
Step-by-step explanation:
y = 0.25x + 8
(0, 8) are coordinates of y=intercept
y = 0.25 × 2 + 8 = 8.50
(2, 8.50)
The last table represnts the given equation.
The fourth table among all the options contains values that satisfy the equation y = 0.25x + 8.
An equation is a combination of two or more expressions, all equal to each other.
Let's check every table if every point in them satisfies the equation y = 0.25x + 8,
Table 1:
To check if (0, 8) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 8 = RHS
This point satisfies the equation.
To check if (2, 8.25) satisfies the given equation,
RHS: 0.25 × 2 + 8 = 0.50 + 8 = 8.50
LHS: 8.25 ≠ RHS
This point does not satisfy the equation.
Table 2:
To check if (0, 0) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 0 ≠ RHS
This point does not satisfy the equation.
Table 3:
To check if (0, 8.25) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 8.25 ≠ RHS
This point does not satisfy the equation.
Table 4:
To check if (0, 8) satisfies the given equation,
RHS: 0.25 × 0 + 8 = 0 + 8 = 8
LHS: 8 = RHS
This point satisfies the equation.
Similarly, all the points can be verified that they satisfy the equation.
Thus, all values in Table 4 satisfy the given equation.
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hey hey:) i need You're help;)
Two sides are congruent to each other.
The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
Answer:
Two sides are congruent to each other.
The third side of an isosceles triangle which is unequal to the other two sides is called the base of the isosceles triangle.
A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90-degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.
A triangle with all sides of different lengths. All angles are different, too. So no sides are equal and no angles are equal.
Step-by-step explanation:
Write the equation in slope-intercept form of the line that
contains the points:
(3,4) & (5,8)
if sec(∞) < 0 and the sin(∞) = 15/17 what is the exact value of cot (∞)
10. Simplify r +6 - 3x - 8.
F. -2x-2 G. -2x-14
H. -3x-14
I.-3x -2
G-3-8 2x-8