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Answer:
16,965 mm/min90π ≈ 282.7 radians/minStep-by-step explanation:
The circumference of the CD is ...
C = πd
C = π(120 mm) ≈ 376.99 mm
This is the distance a point on the edge of the CD will travel when making one revolution. It will travel 45 times this far when making 45 revolutions:
(376.99 mm/rev)(45 rev/min) ≈ 16,965 mm/min
__
There are 2π radians in each revolution, so the angular speed is ...
(2π rad/rev)(45 rev/min) = 90π rad/min ≈ 282.7 rad/min
Simplify the expression below, if a=2/5 and b=-1/6. Leave your answer as a fraction.
10a−5ab+4b
Answer:11/3
Step-by-step explanation:
I hate financial maths. 20 points!!!
According to the table,
• € 1 = R 12,75
• $ 1 = € 0,70
• $ 1 = R 8,89
Then
€ 250 × (R 12,75 / € 1) = R 3.187,5
$ 1300 × (€ 0,70 / $ 1) = € 910
$ 680 × (R 8,89 / $ 1) = R 6.045,2
If 5 is equal to 11
And 7 is equal to 15
And 9 is equal to 19
What is 12 equal to ?????
Answer:
25 is the answer because the numbers are in the relation of (×2+1). 5×2+1=11 7×2+1=15 9×2+1=19 12×2+1=25.
Is 0.6 a rational number
Answer:
The decimal 0.6 is a rational number. It is the decimal form of the fraction 6/10.
Answer:
Yes. 0.6 is a rational number.
Find m<1 if m<CUB = 78
[tex]\\ \sf\longmapsto m<1+m<CUS=m<CUB[/tex]
[tex]\\ \sf\longmapsto m<1+48=78[/tex]
[tex]\\ \sf\longmapsto m<1=78-48[/tex]
[tex]\\ \sf\longmapsto m<1=30[/tex]
Marvin has 2 rabbits. The number of rabbits triples every year. Marvin needs 100 pounds of food to feed one rabbit per year. How many pounds of food will Marvin need to feed his rabbits during the 3rd year?
Answer:
1200 pound
Step-by-step explanation:
year 1: 2 rabbits
year 2: 2 rabbits x 3 = 6 rabbits
year 3: 6 rabbits x 3 = 12 rabbits
12 rabbits x 100 pounds = 1200 pounds
what is the greatest digit formed by 5 6 7 8 and 9
Answer:
98765 is the greatest digit that can be formed using those numbers
Identify the property of real numbers that justify the work done to simplify the expression below.
The property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.
What is the distributive property of multiplication?The distributive property of multiplication states that the same result is obtained by multiplying the sum of two or more addends by a number or multiplying each addend individually and adding the products.
The steps for the distributive property of multiplication are:
Expand the equation.Multiply (distribute) the first numbers of each set, outer numbers, inner numbers, and the last numbers. Combine like terms. Solve the equation and simplify.Thus, the property of real numbers that justifies the work done to simplify the expressions below is the distributive property of multiplication.
Learn more about the distributive property of multiplication at https://brainly.com/question/2898526
#SPJ1
Given that ZZ -- LX, M2W = x + 3, and m_Y = 2%-13)
3, find the value of x for which WXYZ must be a parallelogram.
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Answer:
(c) 16
Step-by-step explanation:
The figure will be a parallelogram when opposite angles are congruent. We already know X and Z are congruent, so we need to find x so that W = Y.
x +3 = 2x -13
16 = x . . . . . . . . . . add 13-x to both sides
While on a walk in the country, you pass a field full of horses and chickens. After a quick count, you determine there are 43 heads and 122 feet in the field. How many of each animal are there?
Horse = x = 1 head and 4 feet
Chicken =y = 1 head and 2 feet
Horse + chicken = x + y = 43 ( total heads)
Horse = 43 - y
4x + 2y = 122
4(43-y) + 2y = 122
Simplify:
172-4y + 2y = 122
Combine like terms
172-2y = 122
Subtract 172 from both sides
-2y = -50
Divide both sides by-2
Y = 25
X + y = 43
X + 25 = 43
X = 18
There are 18 horses and 25 chickens.
What is the equation of a line parallel to y = 4/5x + 2 that passes through (1, 2)?
Answer these questions
Step-by-step explanation:
B)1.supplementary
2.complementary
3complementary
4supplementary
5supplementary
6complementary
C)1.40
2.35
3.63
4.130
pls say hard very hard
Answer:
6
Step-by-step explanation:
The Volume is 4×6×9, which is 216
∛216
The cube root is 6.
I hope this helps!
pls ❤ and mark brainliest pls!
Trying to find the equation for the pattern 5, 11, 18, 26, 35, 45
Answer:
Step-by-step explanation:
[tex]u_{n+1}=u_n+n+5\\\Longrightarrow\ u_{n+2}=u_{n+1}+(n+1)+5\\u_{n+2}-u_{n+1}=u_{n+1}+n+1+5-u_n-n-5\\u_{n+2}=2u_{n+1}-u_n+1\\u_{n+3}=2u_{n+2}-u_{n+1}+1\\\\u_{n+3}-u_{n+2}=2u_{n+2}-u_{n+1}+1 -2u_{n+1}+u_n-1\\\\u_{n+3}-3u_{n+2}+3u_{n+1}-u_n=0\\\\\\Equation\ caract\' eristique:\\r^3-3r^2+3r-1=0\\(r-1)^3=0\\\\\boxed{u_n=a+b*n+c*t^2}\\\\u_1=5\\u_2=11\\u_3=18\\u_4=a+4*b+16*c=26\\u_5=a+5*b+25*c=35\\u_6=a+6*b+36*c=45\\\\[/tex]
a=0
b=9/2
c=1/2
Proof:
n=1 ==> u_1=1/2*(9+1)=5
n=2 ==> u_2=2/2*(9+2)=11
n=3 ==> u_3=3/2*(9+3)=18
n=4 ==> u_=4/2*(9+4)=26
n=5 ==> 5/2*(9+5)=35
n=6 ==> 6/2*(9+6)=45
...
Answer: i have found one that calculates differences when given a sigma with a sigma rule, you could adjust the formula for patterns, if you create a sigma equation and then apply the formulas and then make up a pattern that falls within it, knowing the connection is they go up in the same numbers or knowing it and for some patterns being able to solve it. when given such a sigma problem such as n=1 sigma 3 is the end point 7n-1 is the rule, we would use the value of n until the end point 3, but consider 7n-1 equal to 6+13+20 which equals 39 since 7*1-1=6 and 7*2-1=13, 7*3-1=20 and 6+13+20 is 39. remeber it is equal to that since we plug the value of n from the starting point to the end point of any sigma. a1=7*n-1=6,a2=7*2-1=13, 7*3-1=21 is what you should manipulate for another sigma problem that calculates the diffrence of a sequence as well as its total. the one equation that calculates the total of your patterns is:∑_(n=0)^20▒〖7n-0=140〗
the ones i know to find that represent the patterns in terms of what it would be in the nth term is 58ns it represents what the pattern would be in the nth terms but it is not equal to the pattern.
finding the nth term by looking for an expression to use for the nth term is the same as finding an expression representing the nth term. the nth term is is the numerical difference in the given series with the letter n on the right of that and the number from the beginning of a series in some cases. one more thing for a negative number at the beginning of a pattern you get the missing number i.e the numerical difference on the left and then and the function of the first number. for example: there is a pattern going from -1 to 19 so the pattern would be -1, 3, 7,11, 15,19. the numerical difference is 4, n is the letter that would come after and -1 , -1 is a function in the area of nth term since the whole expression would be 4n subtracted by 1 and subtraction is a function, a function is a operation in mathes.
Step-by-step explanation:
11-5=6
18-11=7
26-35
45-35=10
6+7+35+10=13+45=58 (the differences added up)
5+11+18, 26+35+45=140
Is Canada‘s population is 1/10 of the United States and Canada‘s population is 32 million how many people live in the United States
Answer:
320M
Step-by-step explanation:
It is given that Canada's population is 1/10th of the USA's population, essentially meaning that the US's population is 10x that of Canada's. Therefore, if Canada's population is 32M, multiply 10 to that:
32,000,000 x 10 = 320,000,000
320,000,000 people live in the US.
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PLEASE ANSWER QUICK 70 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)
Answer:
Line 1: (9+x)x
Line 2: x(9 + x)
The order of multiplies changed.
This is called a Commutative Property of Multiplication.
ab = ba or(9 + x)x = x(9 + x)Line 3: x(x+9)
The order of added terms within parenthesis changed.
This is called a Commutative Property of Addition.
a + b = b + a9 + x = x + 9Line-1 to Line 2- Commutative property of multiplication
Line-2 to Line-3 =Commutative property of addition
Lets solve
[tex]\\ \rm\longmapsto (9+x)x[/tex]
[tex]\\ \rm\longmapsto x(9+x)[/tex]
[tex]\\ \rm\longmapsto x(x+9)[/tex]
[tex]\\ \rm\longmapsto x^2+9x[/tex]
When y=35 evaluate -(y+5) and -y-5 to show that -(y+5)=-y-5
Step-by-step explanation:
for y = 35 we get
-(y + 5) = -(35 + 5) = -(40) = -40
-y - 5 = -35 - 5 = -40
both deliver the same result.
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
10x + 2y = -10
Answer:
y = -5x - 5.
Step-by-step explanation:
10x + 2y = -10 Add -10x to both sides:-
2y = -10x - 10 Divide through by 2:-
y = -5x - 5.
Given m|n, find the value of x.
(8x-20)
(8x+8)
Answer:
x=12
Step-by-step explanation:
(8x-20)+(8x+8)=180
16x-12=180
16x=180+12
16x=192
x=12
Answer:
x = 12
Step-by-step explanation:
The given angles are supplementary. Therefore, they have a sum of 180°.
8x - 20 + 8x + 8 = 180
16x - 12 = 180
16x = 192
x = 12
Multiply 546.1 × 0.52 = ____
the line y=mx+7 is perpendicular to the line y=3/4x-9. what is the value of m?
Answer:
-4/3
Step-by-step explanation:
In y=mx+b, m represents the slope. In the second line, we are multiplying x by (3/4). This represents the slope of the second line.
To find the slope of a perpendicular line, we take the negative reciprocal of the current slope. In the first line, m represents the slope. The reciprocal of 3/4 is 4/3, and the negative reciprocal of 3/4 is -4/3. This is the value of m
Please, someone, help
Answer:
I will help
Step-by-step explanation:
The mean useful life of car batteries is 55 months. They have a standard deviation of 2. Assume the useful life of batteries is normally distributed. a. Calculate the percent of batteries with a useful life of less than 51 months. (Round your answer to the nearest hundredth percent.) b. Calculate the percent of batteries that will last longer than 61 months. (Round your answer to the nearest hundredth percent.) a. Percent of batteries % b. Percent of batteries %
Answer: a. 0.13% b. 2.28%
Step-by-step explanation:
Let x denotes the useful life of batteries.
Given: months,
Since X is normally distributed.
The probability that batteries with a useful life of less than 38 months
The percent of batteries with a useful life of less than 38 months =0.13%
The probability that batteries will last longer than 68 months
The percent of batteries that will last longer than 68 months =2.28%
Step-by-step explanation:
John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.
What was the new status of John's account at this point?
Answer:
210
Step-by-step explanation:-133-55-22=210
HELP PLEASE!!!!
What is the slope of the line?
Answer: slope (m) = - 9/5
Step-by-step explanation:
Find two points = (-4,5) (1, -4)
The slope going uphill is positive and downhill is negative.
Slope m = (y-y)/(x-x)
(5- -4)/-4-1 = - 9/5
Also, start in one point go straight up or down counting, and then go left or right to the other point counting.
solve for x of the given angle
Answer :
<LMN = 125°
<MPQ = 125°
Solve w = 9x + 5 y for y
Answer:
w-9x/5=y
Step-by-step explanation:
w=9x+5y
subtract 9x from both sides
w-9x=5y
divide by 5y
w-9x/5=y
what is the 30th square number
plz tell the answer
Answer:
900
.........................
Answer:
900
Step-by-step explanation:
30 square is like 30×30=900
What’s the coordinates pair
Answer:
(5, 35) and (25, 20)
Step-by-step explanation:
The question is saying that x = minutes spent watching videos and y = minutes spent playing video games. Gian has 45 minutes in total to spend. The equation for Gian spending y minutes playing video games if he spent x minutes watching videos would be 45 - x, since x minutes have been taken away from Gian's 45 minutes by watching videos.
Knowing this, if he spent 5 minutes watching videos (x) on Monday, that means he spent 40 minutes playing video games. So, the first coordinate point would go to (5, 40). On Tuesday, he spent 25 minutes watching videos, which would mean he spent 20 minutes playing video games. The second coordinate point would go to (25, 20).
How would I write a number subtracted from 2 times a number is 19 as an equation?
Answer:
[tex]let \: the \: number \: be \:2 x \\ 2x - x = 19 \\ x = 19 [/tex]
This is the answer
if wrong please correct me ! :)
