QUESTION 1 :
find the LCM of 3,6,2,4
LCM = 12
THEREFORE,
2/3*4/4 = 8/12
5/6*2/2 = 10/12
1/2*6/6 = 6/12
3/4*3/3 = 9/12
8/12 , 10/12 , 6/12 , 9/12
Ascending order of ( 8/12 , 10/12 , 6/12 , 9/12)
= 6/12 , 8/12 , 9/12 , 10/12
So, 6/12 = 1/2
8/12 = 2/3
9/12 = 3/4
10/12 = 5/6
THEREFORE
Ascending order = 1/2 , 2/3 , 3/4 , 5/6
i will mark u brainles if you're correct
9514 1404 393
Answer:
rules of exponents apply
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Applying those rules to the given equation, you get ...
[tex]\left(\dfrac{1}{5}\right)^4\cdot\left(\dfrac{1}{5}\right)^2=5^{-6}\\\\ \left(\dfrac{1}{5^4}\right)\cdot\left(\dfrac{1}{5^2}\right)=5^{-6}\\\\ (5^{-4})(5^{-2})=5^{-6}\\\\5^{-4-2}=5^{-6}\\\\5^{-6}=5^{-6}[/tex]
the first week of June there were 404 customers at an ice cream parlor. Eight weeks later, the number of customers was 175% of this amount. How many customers were there eight weeks later?
Answer: 707
Step-by-step explanation: 404*175% or 404*1.75= 707
Answer:
707
Step-by-step explanation:
404 x 1.75 = 707
Which set of ordered pairs does not represent a function?
O {(0,6), (5,-4), (3, -4), (8,-6)}
O {(6,-1), (-6, -1),(-2,-8),(-4,9)}
O {(-3, -3), (4,1),(-3,3), (2, 2)}
O {(1,-4), (5, -7), (-3,-6), (-2,-4)}
4 Eric sketches a rectangle with a perimeter of
90 inches. The length of the rectangle is three
inches longer than the width. Which equation
can be used to determine x, the width of the
rectangle Eric sketched?
F 2x + 2x + 3 = 90
G 2(x + 3) = 90
H x(x + 3) = 90
J 2(x) + 2(x + 3) = 90
Answer:
2(x) + 2(x + 3) = 90
Step-by-step explanation:
Width: x inch.
Length: (x + 3) inch.
P = 2 [tex]w^{}[/tex] + 2 [tex]l^{}[/tex]
P = 2(x) + 2(x + 3) = 90
A game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice
of 100, and then again randomly, picking a ball (red or black) from it.
Each bag has the same total number of balls (10).
Bag options
Ball options
a) Complete the tree diagram.
0.6 Red
b) Work out the probability that a player
will select a red ball.
0.4 -Black
0.35
0.2
Red
0.45
2.
0.8
Black
c) The same player is going to play the
game 200 times consecutively.
How many black balls should he
expect to pick?
0.7
Red
3
0.3
Black
Answer:
A=0.2
b=0.2 x 0.7=0.14
0.45 x 0.2=0.09
0.44
c=112
Step-by-step explanation:
if anyone is able to help please do :)
Answer:
49.12?
Step-by-step explanation:
half circle= 4 squared *3.14/2=25.12
triangle=pythagorean theorem to find h=8. 8*6/2= 24
25.12+24=49.12
Ishi has $24 in his pocket. He pays $8 to have his car washed. Write and solve an expression to show the change in Ishi's money.
Answer:
8 - 24
Step-by-step explanation:
Answer: 24 + (-8)
Step-by-step explanation:
He has 24$ do you take 8 out of it
CALCULUS: Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) - sin(t) and v(0) = 3.
A. v(t) = sin(t) + cos(t) + 3
B. v(t) = sin(t) + cos(t) + 2
C. v(t) = sin(t) - cos(t) + 3
D. v(t) = sin(t) - cos(t) + 4
I picked A., which was marked wrong, although I truly believe that is the answer because I got sin(t) - (-cos(t)) + 3. Please tell me whether you believe this is right or am I doing something wrong. I really want to learn/master this concept. Thanks is advance.
Answer:
B. v(t) = sin(t) + cos(t) + 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Function NotationCalculus
Antiderivatives - Integrals
Integration Constant C
Solving Integration Equations
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Step-by-step explanation:
*Note: Remember that the velocity function is the integral of the acceleration function/acceleration is the derivative of velocity.
[tex]\displaystyle v'(t) = a(t)\\v(t) = \int {a(t)} \, dt[/tex]
Step 1: Define
a(t) = cos(t) - sin(t)
v(0) = 3
Step 2: Integrate
Set up integral: [tex]\displaystyle v(t) = \int {cos(t) - sin(t)} \, dt[/tex][integral] Rewrite [Integration Property - Subtraction]: [tex]\displaystyle v(t) = \int {cos(t)} \, dt - \int {sin(t)} \, dt[/tex][Integral] Trig integration: [tex]\displaystyle v(t) = sin(t) - [-cos(t)] + C[/tex][Velocity Integration] Simplify: [tex]\displaystyle v(t) = sin(t) + cos(t) + C[/tex]Step 3: Find Function
We need to solve for the entire function, meaning we need to find constant C.
Substitute in given point [Velocity Integration]: [tex]\displaystyle v(0) = sin(0) + cos(0) + C[/tex][Velocity Integration] Substitute: [tex]\displaystyle 3 = sin(0) + cos(0) + C[/tex][Velocity Integration] Evaluate trig: [tex]\displaystyle 3 = 0 + 1 + C[/tex][Velocity Integration] Add: [tex]\displaystyle 3 = 1 + C[/tex][Velocity Integration] Isolate C [Subtraction Property of Equality]: [tex]\displaystyle 2 = C[/tex][Velocity Integration] Rewrite: [tex]\displaystyle C = 2[/tex][Velocity Function] Substitute in C [Velocity Integration]: [tex]\displaystyle v(t) = sin(t) + cos(t) + 2[/tex]Topic: Calculus
Unit: Basic Integration
Book: College Calculus 10e
Please help!!!!!!!!!!!!!!!!!!!!!
if 49 = 7 and 7 = 3 + 4, then 49 = 3 + 4
Answer:
49 = (3 + 4)²
Step-by-step explanation:
note that 49 = 7² , then
49 = (3 + 4)²
Help please! Tyyyyyyy
Answer:
Not sure
Step-by-step explanation:
C I think
Answer:
6/12 inches (D)
Step-by-step explanation:
First, you have to find the area of one rectangle.
1/3 times 1/4 = 1/12
Now, this red rectangle covers 6 boxes so...
6 times 1/12 = 6/12
6/12
Using ABC, identify the ratio for sine of C
Answer:
BA / AC
Step-by-step explanation:
Given the triangle ABC;
To obtain the Sin C
Defining the attached triangle with respect to C:
Sine = opposite / hypotenus
Sin C = BA / AC
Hence, the ratio of sinC is BA /AC
A machine paints 360 toy boats in 45 MINUTES. Write the expression that represents the unit rate per HOUR
Answer:
480 toy boats per hour
Step-by-step explanation:
1. Divide 360 by 45 to find unit rate per MINUTE.
360 / 45 = 8
2. One hour = 60 minutes, so multiply 8 and 60.
8 * 60 = 480
A surveyor at point S locates a tree 200 meters away, at point T. The surveyor turns 120 degrees counterclockwise and locates a rock formation 150 meters away, at point R. Find the distance between the tree and the rock formation.
This will require using the law of cosines.
Answer:
190
Step-by-step explanation:
The distance between the tree and the rock formation is approximately 304.14 meters.
To find the distance between the tree (point T) and the rock formation (point R), we can use the law of cosines. The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
Let's denote the unknown distance between the tree and the rock formation as 'd.'
We have a triangle with sides of lengths 200 meters (side ST), 150 meters (side SR), and d meters (side TR). The angle opposite side ST is 120 degrees.
According to the law of cosines:
d² = 200² + 150² - 2 * 200 * 150 * cos(120°)
Now, we can calculate this expression to find the value of d:
d² = 40000 + 22500 - 60000 * cos(120°)
Using the value of cos(120°) ≈ -0.5, we have:
d² = 40000 + 22500 - 60000 * (-0.5)
d² = 40000 + 22500 + 30000
d² = 92500
Taking the square root of both sides to solve for d:
d = √92500
d ≈ 304.14
Therefore, the distance between the tree and the rock formation is approximately 304.14 meters.
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HELP ASAP! EXPONENTIAL FUNCTIONS
if Ralf can bike in 45 kilometers in 3 hours,what will be his average rate of biking
A.9 kilometers/h
B.12 km/h
C.15 km/h
D.20 km/h
Answer:
C.15 km/h
Step-by-step explanation:
speed= distance/time
what is a point-slope equation of the line with slope -12 that goes through the point (5,3)?
A. y + 3 = 12 ( x + 5)
B. y - 3 = -12 ( x -5 )
C. y - 3 = 12 ( x - 5)
D. y + 3 = -12 ( x + 5 )
Step-by-step explanation:
Equation of a straight line is given by Y=MX+C
GIVEN POINTS (5, 3) and gradient -12, therefore
in the form of y=mx+c to get the constant, it will be 3=-12(5)+c
3=-60+c
3+60=c
c=63
y=mx+c
y=-12x+63
In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
The population grew by 12600 people.
Step-by-step explanation:
In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
The population grow from 2010 to 2015 is 12600
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Total population in 2010 = 180000
From 2010 to 2015, the population grew by 7%.
Then, the population grew from 2010 - 2015
= 7% of 180000
= 7/100 x 180000
= 7 x 1800
= 12600
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The number of students enrolled at a college is 17,000 and grows 6% each year.
Answer:
1020 new students per year.
Step-by-step explanation:
what is 696969 time 1
Anything times 1 = the same number so 696969x1=696969
Answer:
696969
Step-by-step explanation:
help please
15 − 20 + (−15) + (+20)=
Answer:
-5+5
= 0
Step-by-step explanation:
Answer:
-5+5
= 0
Step-by-step explanation:
34-60 how much apples are they left
Answer:
60-34= 26
Step-by-step explanation:
Find the slope of the line parallel to the line through the given points (4,-2),(-1,8)
Answer:
-2
Step-by-step explanation:
Parallel lines have the same slope, so find the slope of this line
Use rise over run, (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(8 + 2) / (-1 - 4)
10 / -5
= -2
So, the slope of the line is -2
How many degrees
in 1/20 of a full turn?
Answer:
18 degerees
Step-by-step explanation: i am 100% sure have a nice day.
This is for today help!!!!
Answer:
Part A 73 Part B 113
Step-by-step explanation:
in a standard deck of cards, what is the probability that you would draw an ace
Answer:
innate as an agent X or something else
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
Suppose you have a deck of 52 cards, 4 of which are aces. The chances of drawing an ace from this deck are 4/52≈8%.
Need help on number 26 and 27!!
Answer:
26. H. (-4, -2)
27. A. x - 4
Step-by-step explanation:
26.
Use translations.
Start at point A(2, 6). To go from this point to the center of the circle, you must go from A(2, 6) to C(-1, 2). That means you need to go from 2 to -1 in x, a change of -3 in x, and from 6 to 2 in y, a change of -4 in y.
Since points A and B are the endpoints of a diameter, then AC and BC are radii of the circle. All radii are congruent, so if you apply the same transformation as from A to C to point C, you will get the coordinates of point B.
C(-1, 2) now is transformed by -3 in x and -4 in y.
B(-1 - 3, 2 - 4) ----> B(-4 , -2)
Answer: H. (-4, -2)
27.
Recall the factoring of a difference of cubes.
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
You have
x^3 - 64
x^3 is obviously the cube of x.
64 is the cube of 4, so you have
x^3 - 4^3
Following the factorization above, you get
(x - 4)(x^2 + 4x + 16)
Answer: A. x - 4
Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
I will give a Branliest!
Has To Be A Movie!!!!
You can choose
A. Hunger Games
B. Men in Black
C. Classic Horror Movies
D. Jurassic Park
OR!!
Awnser With your own suggestion!!!!!!!
Step-by-step explanation:
i think it is sponge Bob square pants
Parallel or perpendicular
Which describes how to calculate the range of this data set?
4, 5, 6, 8, 11, 12
A.) Subtract 11-5.
B.) Subtract 12-5.
C.) Add 11+5.
D.) Add 12+4.
Answer:
D.) Add 12+4
Step-by-step explanation:
I took the test on Edge 2021.
