Answer:
(i) The total anticlockwise moment about O, is 6000 + 50 × OD
(ii) The total clockwise moment about O, is 5000 + 50 × OC
(iii) The difference between the anticlockwise and the clockwise moment is 1000 N·cm
(iv) The distance from O where a 100 gf force should be placed to balance the meter rule is 10 cm to the right of the point O on the meter rule
Step-by-step explanation:
The given parameters are;
The mass of the uniform meter rule = 100 gf
The center of the meter rule = O
The mass of the weight at point A = 150 gf
The mass of the weight at point B = 250 gf
The distance of the point A from the point O = OA = 40 cm
The distance of the point B from the point O = OB = 20 cm
(i) Whereby the point A is on the left of the meter rule, and taking the mass of half the meter rule as acting on the center, of the midspan from the left edge to the center, O, which is the point, D we have;
The total anticlockwise moment, Mₐ = 150 × 40 + 50 × OD = 6000 + 50 × OD
(ii) The total clockwise moment about O, is given similarly as follows;
The total clockwise moment, [tex]M_c[/tex] = 250 × 20 + 50 × OC = 5000 + 50 × OC
(iii) The difference between the anticlockwise and the clockwise moment = Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OC
Where, OD = OC, we have;
Mₐ - [tex]M_c[/tex] = 6000 + 50 × OD - 5000 + 50 × OD = 1,000
Mₐ - [tex]M_c[/tex] = 1000 N·cm
Therefore, Mₐ > [tex]M_c[/tex]
(iv) The distance from O where a 100 g force should be placed to balance the meter rule should give a 1000 N·cm clockwise moment as follows;
Let the 100 gf load be placed at the point E, to the right of the point O, therefore;
100 gf × OE = 1000 N·cm
OE = 1000/(100) = 10
OE = 10 cm
Therefore, the 100 gf should be placed 10 cm to the right of the point O.
Rachel's gym charges a one-time registration fee of $45 and a monthly fee of $39. Which
function can be used to find y, the total charges at this gym for x months?
Fy= 45x +39
Gy=6x +39
Hy=39x +6
jy=39x + 45
Answer: Its 39x + 45
Step-by-step explanation:
yes
Emilio borrows $1200 from a bank with 8% simple interest per year. How much will he have to pay back total in 2 years?
Answer:
$192
Step-by-step explanation:
That's all I
got
Find the slope between the two points: (20, 8), (9, 16)
Answer:
[tex] \huge - \frac{8}{11} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question we have
[tex]m = \frac{16 - 8}{9 - 20} = \frac{8}{ - 11} = - \frac{8}{11} \\ [/tex]
We have the final answer as
[tex] - \frac{8}{11} \\ [/tex]
Hope this helps you
Answer:
[tex] \huge \boxed{ \boxed{ \tt - \frac{8}{11} }}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:linear equationslopePEMDASgiven:points:(20,8),(9,16)to find:slopetips and formulas:[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]let's solve:let (20,8) and (9,16) be start and end points respectively
according to the question
[tex] \sf\frac{8 - 16}{20 - 9} [/tex][tex] \sf substract : \\ \sf \frac{ - 8}{11} [/tex]and we are done
Which of the following has a graph that is a straight line? (4 points)
Question 1 options:
1)
Equation 1: y = 4x3 + 6
2)
Equation 2: y = 5x − 4.5
3)
Equation 3: y2 = x − 1
4)
Equation 4: y = 2x2 + 6
Answer:
y = 5x − 4.5
Have a safe and happy new years :)
Jo is a diabetic who uses three doses of insulin each day. Each dose is 0.06 ml. A bottle contains 1 cl of insulin. How many complete days will a bottle last her?
Answer:
55 complete days
Step-by-step explanation:
It is given that Jo is diabetic and she uses three doses of insulin in one day. One dose of insulin is 0.06 ml and one bottle has 1 cl of insulin.
We know, 1 cl = 10 ml
So the insulin bottle contains 10 ml of insulin.
1 dose = 0.06 ml
3 doses = 0.06 x 3
= 0.18 ml
So Jo takes 0.18 ml of insulin in one day.
Dividing 10 ml by 0.18 ml, we get
[tex]$=\frac{10}{0.18}$[/tex]
[tex]$=\frac{1000}{18}$[/tex]
= 55.55
So, the bottle will last for 55 complete days.
Can anyone please help me with this??????????? please please help me with this
please please can someone help me with this
Answer: I agree with the other person, and are there any options for the other two parts?
can someone help me with these two problems please!!!!!
Answer:
The question at the top is:
Factor
x 2 + 2 x − 63
using the AC method.
( x − 7 ) ( x + 9)
WHICH THE ANSWER IS (B)
The question at the bottom is:
Factor
x 2 + 18 x + 80
using the AC method.
( x + 8 ) ( x + 10 )
WHICH IS ANSWER (C)
Step-by-step explanation:
Hope this helped! :)
Evaluate the expression x/2 + 5x - 7 when x = 2. The value of the expression is
Answer:
4
Step-by-step explanation:
Substitute the given value (2) to wherever x is present...
so,
2/2+5(2)-7= The ans
1+10-7= The ans
11-7=4
So ya, that's the ans
What is it will mark Brainliest
Answer: i don't really know this but i think it´s (3,4)
Step-by-step explanation:
Solve the system of equations. (1 point)
2x − 5y = 3
x − 3y = 1
(4, 1)
(5, 2)
(7, 2)
(9, 3)
Answer:
The answer is (4, 1)
Step-by-step explanation:
I hope this helps have a good day.
fond the measure of x for this triangle
Answer:
180° - (90° + 30°) = 180° - 120° = 60°
Step-by-step explanation:
there are 180° inside of a triangle
the square means that the angle is 90°
Jim needs to divide 762 coupon books equally among 9 stores. In which place is the first digit of the quotient? Select the word that makes the sentence true. The first digit of the quotient is in the ones place.
Answer:
ones
Step-by-step explanation:
It is given that Jim wants to divide 762 coupons equally among 9 stores.
So dividing 762 by 9, we get
[tex]$=\frac{762}{9}$[/tex]
= 84.66
The position of the digit before the decimal place start with 'ones' and then proceeds to tens, hundreds, thousands, etc.
Therefore, the first digit of the quotient is in the ones place of the position value or place value.
PLS help ASAP thank you
Answer: they are not similar
Step-by-step explanation:
there will no be no steps
Express 28cm as
a percentage of 2m
Answer:
12.5%
Step-by-step explanation:
it easy
12.5 percent
its simple
Find the two square roots of 144.
Answer:
The square root function
sqrt(144) or √144 produces a single positive value, 12.
However if you have an equation
x² = 144, then you have two possible values for x, 12 and -12.
Two ways to look at it.
x² - 144 = 0
Difference of two squares
(x+12)(x-12) = 0
x = -12, 12
x² = 144
x = ±√144
x = ±12
x = -12, 12
Answer:
12 and -12
Step-by-step explanation:
144 is a perfect square which means that a number multiplies to it with the same number. In this instance both 12 and -12 equal 144.
12 x 12 = 144
-12 x -12 = 144 (two negatives equal a positive)
Evaluate f(x)=x+6 when x=−2,0, and 5.
Answer:
1. 4
2. 6
3. 11
Step-by-step explanation:
Plug each number into the equation (in place of x) to get the answer.
1. f(-2) = -2+6 = 4
2. f(0) = 0+6 = 6
3. f(5) = 5+6 = 11
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday
number of packs sold of black, red and green pens = 7 : 3 : 4
A total of 212 were sold.
work out the number of green pen solds
Answer:
24
Step-by-step explanation:
Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3
40 POINTS PLEASE HELPPPPPPP ME !
Answer:
75/100
=15/20
3/4
The probability is3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Hope this helped have an amazing day!
A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in 1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996
Answer:
The answer is "1:2"
Step-by-step explanation:
Let 96 car sales are X and 96 truck sales are Y And income from 97 cars is 0.89X, income from 97 trucks is 1.07Y
[tex]\to \frac{(0.89X+1.07Y)}{(X+Y)}=1.01\\\\\frac{X}{Y}=?\\\\\to \frac{(0.89X+1.07Y)}{(X+Y)}\ \ \text{Divide by Y and get}\ \ \frac{( \frac{0.89X}{Y}+1.07)}{(\frac{X}{Y}+1)} =1.01\\\\[/tex]
Then
[tex]\to \frac{X}{Y}=1:2[/tex]
need answers to this for slope, y-intercept, and x-intercept
Answer:
slope = -2/3
Step-by-step explanation:
rise over run
Answer:
y-intercept: (2,0)
x-intercept: (0,3)
slope: -2/3
Step-by-step explanation:
PLEASEE HELP!!!!!!!!!!!!!!!
a speck of dust is 1.5 × 10 ^6 m wide. which of the following is the best way to rewrite this quantity, using more appropriate units?
Answer:
A
Step-by-step explanation:
the speck of dust is very small,
using the smallest unit out of all the choices, mm, is the best way to rewrite it
choice A
what is the answer?
Answer:
the answer is 2
Step-by-step explanation:
Answer:
what is the answer i don´t see a question??
Step-by-step explanation:
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
- 4x – 2y = 18
4x – 4y = -36
O Subtract to eliminate x.
O Subtract to eliminate y.
O Add to eliminate x.
O Add to eliminate y.
Step-by-step explanation:
-4x - 2y = 18
+ (4x - 4y = -36)
=> -6y = -18, y = 3
As we added the equations together, we have eliminated x and found y.
Hence the correct answer is "Add to eliminate x".
y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
Given:
Consider the completer question is "Find the derivative [tex]\dfrac{dy}{dx}[/tex] for [tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]."
To find:
The derivative [tex]\dfrac{dy}{dx}[/tex].
Solution:
Chain rule: [tex]\dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)[/tex]
Quotient rule: [tex]\dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]
We have,
[tex]y=\dfrac{x^2-4x}{x^3-5}[/tex]
Differentiate with respect to x.
[tex]\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)[/tex]
Using chain rule and quotient rule, we get
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}[/tex]
[tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex]
Therefore, the required answer is [tex]\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}[/tex].
HELP ME PLEASE !!!!!!!
Answer:
93-30=3
Step-by-step explanation:
The diameter of a cookie is 2 inches. If IT = 3.14, what is the area of the cookie, rounded to the nearest tenth?
A
39.4 in.2
B
9.9 in.2
с
3.1 in.?
D
6.3 in.2
Last year ten examiners spent 6 hours marking all the exam papers.
This year the same process took only three hours.
How many examiners were there this time if they marked the same set of papers at the same rate?
Answer: 20 examiners.
Step-by-step explanation:
We know that 10 examiners need 6 hours to mark all the papers.
Then if R is the rate at which one examiner can mark all the papers, we have the equation:
(10*R)*6h = marking all the papers = 1
(i will use the 1 to represent the complete task)
then we have:
(10*R)*6h = 1
60h*R = 1
R = 1/60h
This means that only one examiner would need 60 hours to mark all the papers.
This time, we have N examiners, and they marked the same amount of papers in 3 hours, then we have thee equation:
(N*R)*3h = 1
(N*1/60h)*3h = 1
N*(3h/60h) = 1
N*(1/20) = 1
N = 1/(1/20) = 20
N = 20
This time, there are 20 examiners.
For every | | cats in the pet store, there are | | dogs.
Help plss
Answer:
for every one cat there are 4 dogs
Step-by-step explanation:
11 : 44
11÷1 : 44÷11
1 : 4
Write an equation of the line that passes through the points (0, –5) and (4, 7).
Answer: y=3x-5
Step-by-step explanation:
Question Andre bought 8 bagels and ate g of them. Sandra bought 20 bagels and ate of them. Who ate more bagels?
Answer:
no one ate any bagels apparently lol
Step-by-step explanation: