Answer:
15.71 ft
Step-by-step explanation:
Given that:
width of the circular track = 2.5ft
Suppose the radius of the inner circle is 57 ft since it is not given
Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft
The circumference of a circle = 2πr
For inner circle now, the circumference = 2 × π × 57 ft
For inner circle now, the circumference = 358.14 ft
For the outer circle, the circumference = 2 × π × 59.5 ft
For the outer circle, the circumference = 373.85 ft
The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn
∴
= ( 373.85 - 358.14 ) ft
= 15.71 ft
Simplify the square root of negative 18
Answer:
[tex]3i\sqrt{2}[/tex]
Step-by-step explanation:
If we have the expression [tex]\sqrt{-18}[/tex], we can divide -18 by 2.
[tex]\sqrt{2\cdot-9}[/tex]
The square root of 9 is 3, and since we’re finding the square root of a negative number, we append the “i” to the term: so 3i.
This goes outside the root, making the expression [tex]3i\sqrt{2}[/tex].
Hope this helped!
The midpoint between two points is( 1 , 5 ). One of those points is ( 9 , 3 ), find the other. DUE in 2 HOURS, will give Brainliest! A. (4, - 1) B. (-4, 1) C. (5, 4) D. (-7, 7)
Answer: (-7, 7)
Step-by-step explanation:
Answer:
[tex]\mathrm{Solution\:} = (- 7,7) = \mathrm{Last\:}\mathrm{Option\:}[/tex]
Step-by-step explanation:
In my point of view the easiest approach to solving this problem would be by determining the distance between the given points (the midpoint and the other given point) --- (1) and then going through all the answer choices and matching their distance to the midpoint --- (2). This may seem like a hard approach, but you can eliminate many of the answer choices.
The answer is the last choice, so let's prove it.
[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(9,\:3\right) = \sqrt{\left(9-1\right)^2+\left(3-5\right)^2} = 2\sqrt{17}[/tex]
[tex]\mathrm{Distance\:between\:}\left(1,\:5\right)\mathrm{\:and\:}\left(-7,\:7\right)=\sqrt{\left(-7-1\right)^2+\left(7-5\right)^2}=2\sqrt{17}[/tex]
[tex]2\sqrt{17} = 2\sqrt{17}[/tex]
As the distance between points (1,5) and (9,3) respectively (1,5) and (- 7,7) is the same, we proved that our answer is the last choice.
Please help on this question
Answer:
Hey mate!
Using Unitary Method, we get :
2 people -> 5 hours
1 person -> 5/2 = 2.5 hours
3 people -> 2.5 hours * 3 peoples
-> 7.5 hours
-> 7.5 * 60 = 450 mins.
I am always glad to help :)
Answer:
3 people can plow a field in 450 minutes.
Step-by-step explanation:
This is a rate/ratio problem, so we have to make sure it's fully simplified.
First, you already know the ratio is 2 people can plow a field in 5 hours, so 2:5.
But that's not the unit rate.
To find the unit rate, you find how much an individual by itself can do their work, and divide numerator by denominator.
In this case, you do 5/2: which is 2.5.
It take's 2.5 hours for one person. Now you multiply by 3 people to get the ratio; since you already found the rate.
2.5x3 is 7.5, and that's in hours. 1 hour is 60 minutes, to find 7 hours, you do 60x7 and get 420 minutes. You add 30 minutes from the remaining half hour.
that results in 450 minutes.
3 people can plow a field in 450 minutes.
Jessica finished a race that was 5 miles long in 30 minutes and 15 seconds. Casey finished a race that was 2 miles log in 11 minutes and 8 seconds. Who has the faster rate? Explain your reasoning.
Answer:
Casy
Step by step explanation:
You divide the miles by their time
It took Jessica 6 minutes and .03 seconds to finish a mile
It took Casy 5 minutes and 54 seconds to finish a mile
Casy is .09 Seconds quicker than Jessica
4m-3/4=-9+4m/8 this is my question that i need help with
Answer:
The answer is -2 5/14 if you're trying to solve for m
Step-by-step explanation:
first you get rid of the fractions by mutiplying both sides by 4.
4(4m-3/4)=(-9+4m/8)4
16m-3=-36+2m then you put the varible terms on one side and the numbers on one side
14m=-33
then divide -33 by 14
which will give you the fraction -2 5/14 unless you want decimal form which would be around -2.36
Answer:
[tex]m=-\frac{33}{14}[/tex]
Step-by-step explanation:
[tex]4m-\frac{3}{4}=-9+\frac{4m}{8}[/tex]
[tex](4m-\frac{3}{4})8=(-9+\frac{4m}{8})8[/tex] multiply by 8 to get rid of the largest denominator
[tex]32m-\frac{24}{4}=-72+4m[/tex]
[tex]32m-6=-72+4m[/tex]
[tex]32m-4m=-72+6[/tex] Rearrange the equation and Collect like-terms
[tex]28m=-66[/tex]
[tex]m=-\frac{66}{28}[/tex] simplify
[tex]m=-\frac{33}{14}[/tex]
what is this: 9/5 - 1/3
Answer:
22/15 in fraction 1 7/15
Step-by-step explanation:
Answer:
___________
Exact Form:
22 / 15
Decimal Form:
1.46 continuous
Mixed Number Form:
1 7/15
To write 9/5 as a fraction with a common denominator, multiply by 3/3
9/5 x 3/3 - 1/3
To write −1/3 as a fraction with a common denominator, multiply by 5/5.
9/5 x 3/3−1/3 x 5/5
Write each expression with a common denominator of 15, by multiplying each by a factor of 1
Multiply 9/5 and 3/3
9 x 3/5 x 3 - 1/3 x 5/5
Multiply 5 by 3
9 x 3/15 − 1/3 x 5/5
Multiply 1/3 and 5/5
9 x 3/15 − 5/3 x 5
Multiply 3 by 5
9 x 3/15 − 5/15
Then combine the numerator over the common denominator
9 x 3 - 5 / 15
then simplify the numerator
mutiply 9 by 3
27 - 5/15
subtract 5 from 27
22/15
PLEASEEE HELP MEEE!! I DONT UNDERSTAND AT ALL!!
Domain: (-∞,∞)
Range: (3,∞)
x-intercepts: none
y-intercepts: (0,7)
Interval positive: (3,∞)
Interval negative: none
Interval increasing: (7,∞)
Interval decreasing: (-∞,7)
I'm not sure what the average rate of change over is though.
--3(p+1) <-18 solving inequalities with graphs i need help
Answer:
p<5
Step-by-step explanation:
-3(p+1)<-18
-3p-3<-18
+3 +3
-3p<-15
-3p/3<-15/-3
p<5
Evaluate the expression. 34 -8 - 14 + 2 + 5
Answer:
About 20
{19 exactly}
Step-by-step explanation:
Evaluate means find approximate value without exact calculation (usually done with great numbers or with fractions)
-8 is approximately -(2+5) so the sum is about 0
34-14 = 30-10 = 20
20 + 0 = 0
The exact calculation would be:
34 -8 - 14 + 2 + 5 = 34 - 14 - 8 + 7 = 20 - 1 = 19
f(x)=x^2+4x-6 a) f(x) can be written in the form (x+m)^2+n find the value of m and the value of n b) use your answer to part (a) to find the positive solution to x^2+4x-6=0
Answer:
see explanation
Step-by-step explanation:
Using the method of completing the square.
Given
f(x) = x² + 4x - 6
add/subtract ( half the coefficient of the x- term )² to x² + 4x
f(x) = x² + 2(2)x 6 + 4 - 4 - 6
= (x + 2)² - 10
with m = 2 and n = - 10
To solve the equation let f(x) = 0 , that is
(x + 2)² - 10 = 0 ( add 10 to both sides )
(x + 2)² = 10 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{10}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{10}[/tex]
The positive solution is
x = - 2+ [tex]\sqrt{10}[/tex] ≈ 1.16 ( to 2 dec. places )
#1) Select the lie from the dropdown below.
A)
All real numbers are
whole numbers.
B)
All whole numbers are
real numbers
C)All integers are rational
numbers.
Int.
Answer:
A
Step-by-step explanation:
Think of this always
Whole Numbers > integers > rational numbers > Real numbers
Not all real numbers are whole numbers. It could be and integer like 1.5 which is a real number but not a whole number. So A is lying.
Answer:
The Answer is A.
Step-by-step explanation:
All numbers are real numbers but not all real numbers are a whole. I can't give any further explanation but this is what we were taught when I was younger so it should be correct.
Maiden earned 84$ last week. Peter earned only 12$. Maidens earnings are how many times greater than Peter's. Write an equation for the problem, and solve.
Answer:
7 times greater
Step-by-step explanation:
This is because 84 divided by 12 is 7, so i guess that is your answer.
hope this helps
L and Y are located on L ( -7, 0) , Y ( 5, 9 ). what is the distance between L and Y?
Answer:
The distance between L and Y is 15
which of the following units is incommensurable with kilograms? A.pounds B.ounces C.tons D.gallons
Answer: D.gallons
Step-by-step explanation:
Kilogram is a unit of mass
Now, Pounds, Tons and Ounces are also units of mass.
But Gallons is a unit of volume, where 1 gal = 3.785 L
Then you never can represent an amount of mass using units for volume, which means that gallons is incommensurabe with kilograms.
the correct option is D
Solve the following three equations.
Equation #1 60 = 6(6 – 2n)
Equation #2 5x + 7 + 3x = -8 + 3x
Equation #3 3(1 + 4v) – 2(5v- 3) = 25
Answer:
#1 N=2
#2 X= -3
#3 V=1, 1 1/2
Can y’all help please
Answer:
-4, 4
Step-by-step explanation:
it seems the most reasonable answer since the dot is not super close to the 6, 6 and it isnt close enough to be 1, 5 or 5, 1 so the answer must be -4, 4
write the prime factorization of 363 using exponents. the prime factorization is
um you need to be more specific on the question bud
Answer: The prime factorization is 3*11*11.
Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies. Write and evaluate the expression to determine how much money she has.
Answer:
3.02
Step-by-step explanation:
quarters are .25
dimes are .10
nickels are .05
pennies are .01
9 * .25 + 4 * .10 + 7 *.05 + 2 *.01
2.25+0.4+0.35+0.02
3.02
Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)
Answer:
[tex]LS = 63[/tex]
Step-by-step explanation:
Given
[tex]LS = 14x - 21[/tex]
[tex]LH = 15[/tex]
[tex]HS = 8x[/tex]
Required
Determine the length of LS
Since H is between L and S, then
[tex]LS = LH + HS[/tex]
Substitute 14x - 21 for LS, 15 for LH and 8x for HS
[tex]14x - 21 = 15 + 8x[/tex]
Collect Like Terms
[tex]14x - 8x = 21 + 15[/tex]
[tex]6x = 36[/tex]
Divide both sides by 6
[tex]x = 6[/tex]
Substitute 6 for x in [tex]LS = 14x - 21[/tex]
[tex]LS = 14(6) - 21[/tex]
[tex]LS = 84 - 21[/tex]
[tex]LS = 63[/tex]
Hence, the length of LS is 63 units
The step function f(x) is graphed.
What is the value of f(0)?
-2
-1
0
1
Answer:
The value of f(0) is Option (A) : - 2
Find the sum of -2 + i and its complex conjugate.
Write your answer in the form a + bi.
Answer:
- 4
Step-by-step explanation:
The conjugate of - 2 + i is - 2 - i, thus
- 2 + i + (- 2) - i
= - 2 + i - 2 - i ← collect like terms
= - 4 ← in the form a + bi with b = 0
The sum of -2 + i and its complex conjugate is:
w = -4 + 0i
How to find the sum?
The complex conjugate of a number z = a + bi is:
z' = a - bi.
Then the complex conjugate of -2 + i is -2 - i.
The sum will give:
w = -2 + i + (-2 - i) = -4 + 0
Writing it in the wanted form we get:
w = -4 + 0i
If you want to learn more about complex numbers, you can read:
https://brainly.com/question/10662770
#SPJ2
What is f(x) type in the number
X=3
F(x) =-2x+4
F(x)=
Answer:
10
Step-by-step explanation:
10. ................ ..........
Jade and Ali set the alarms on their phones to sound at 7.15 am.
Both alarms sound together at 7.15am.
Jade's alarm then sounds every 40 minutes.
Ali's alarm then sounds every 60 minutes.
At what time will both alarms next sound together?
Answer:
9:15 am
Step-by-step explanation:
Alarms sound at 7:15 am
Alarm frequencies are 40 min and 60 min
Since 40= 20*2 and 60= 20*3, the overlapping frequency is:
20*2*3= 120 min = 2 hoursSo next time both alarms sound at 7:15 am + 2 hours = 9:15 am
Answer:
Trust me its 9:15 am
Step-by-step explanation:
It's a word problem junkie. Is a bus driver who earns 1600 dollars per month login is a is a manager who earns 6800 dollars per month. In 2012 Jun bro donated a total of 1200 dollars to charity while login donated4500dollars to charity who donated the higher percentage of money
Answer: bus driver
Step-by-step explanation:
Given: Earning of bus driver = 1600 dollars per month
Earning of manager = 6800 dollars per month
Amount donated by bus driver = 1200 dollars
Amount donated by manager = 4500 dollars
Percentage of amount donated by bus driver = [tex]\dfrac{1200}{1600}\times100 \%=\dfrac{3}{4}\times100\%=75\%[/tex]
Percentage of amount donated by manager = [tex]\dfrac{4500}{6800}\times100 \%\approx66.18\%[/tex]
Clearly, 75> 66.18
So, bus driver donated higher percentage of money.
What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...
Answer:
141 5/7
Step-by-step explanation:
8c + 10b ÷ 7a
Let c = 7, b = 12, and a = 5
8*7 + 10*12 ÷ 7*5
Multiply and divide from left to right
56+120 ÷7*5
56+ 600/7
Get a common denominator
392/7 + 600/7
992/7
Change from an improper fraction to a mixed number
141 5/7
Answer:
416 3
= -------- or 59 ----
7 7
Step-by-step explanation:
8c + 10b ÷ 7a
if c = 7, b = 12, and a = 5
plug in values:
= 8(7) + 10(12) ÷ 7(5)
= 56 + 120 / 35
= 56 + 24/7 ---- convert into factions
56 * 7 24
= -------- + ------
7 7
sine the denominator are equal, combine the fraction
56 * 7 + 24
= -----------------
7
416 3
= -------- or 59 ----
7 7
I NEED THIS ANSWER ASAP!!!! John painted his most famous work inhis country, in 1930 on composition board with perimeter 108.39 in. If the rectangular painting is 5.89 in. taller than it is wide, find the dimensions of the painting. What is the width?
Answer:
25.15 in
Step-by-step explanation:
let's say that x = wide
so x+5.89=length
the perimeter is = 2(width +length)
P=2(x+x+5.89)
108.39=2(2x+5.89)
2x+5.89=54.195
2x=48.305
x=24.1525 in
which is 24.15 in
Brent knows that the six digit number he uses to open his computer is the prime factorization of 5005 if each digit of the code increases from left to right
Answer:
The code is 571113
Step-by-step explanation:
The problem requires that we find the prime factors of 5005
1. 5005 is a multiple of 5 since it ends with a number 5
5 is one of the numbers
Dividing 5005/5 = 1001
the next prime number after 5 is 7
so 1001/7= 143
7 is one of the numbers
the next prime number after 7 is 11
so 143/11= 13
13 is one of the numbers
In all the prime factorization of 5005 is found as follows
5,7 11,13
Combining these numbers gives the 6 digit code
571113
T is the midpoint of S and U. ST=7x+4 & TU=10x-2. What is the value of SU?
Answer:
SU = 36
Step-by-step explanation:
T is the mid point so the distance of ST and TU is the same. Since ST and TU are the same, 7x + 4 = 10x - 2.
Solve for x
7x + 4 = 10x - 2
7x - 10x = - 2 - 4
-3x = -6
x = 2.
Find SU
SU = ST + TU
= (7x + 4) + (10x - 2)
substitute the value for x into the equation (x=2)
[7(2) + 4] + [10(2) - 2] = 36
I hope this helps :)
When x=3 ,y=16 and when x=6 y=8. Which inverse variation equation can be used to model this function?
Answer:
[tex]y=\frac{48}{x}[/tex]
Step-by-step explanation:
When x = 3, y = 16
When x = 6, y = 8
We need to model the inverse variation.
Inverse Variation : When one value increase another value decrease. But product of both always constant.
[tex]xy=k[/tex]
when x=3, y=16
k=48
When x=6, y=8
k=48
Model of the inverse variation:
[tex]y=\frac{48}{x}[/tex]
Hence, The model of inverse variation is
[tex]y=\frac{48}{x}[/tex]
Answer:
The inverse variation equation can be used to model this function is:
[tex]y=\frac{48}{x}[/tex]
Step-by-step explanation:
An inverse relationship between two variables implies that if the value of one variable increases the value of the other variable will decreases and vice-versa.
The inverse function describing the relationship between x and y is as follows:
[tex]y=\frac{a}{x}[/tex]
Here, a is a constant.
It is provided that when the value of x is 3 the value of y is 16.
Compute the value of a as follows:
[tex]y=\frac{a}{x}[/tex]
[tex]16=\frac{a}{3}\\\\[/tex]
[tex]a=48[/tex]
It is also provided that when the value of x is 6 the value of y is 8.
Compute the value of a as follows:
[tex]y=\frac{a}{x}[/tex]
[tex]8=\frac{a}{6}\\\\[/tex]
[tex]a=48[/tex]
The value of a is 48.
Then the inverse variation equation can be used to model this function is:
[tex]y=\frac{48}{x}[/tex]
sorry for the trouble
Step-by-step explanation:
Hey, there!
As it is a Right angled triangle, taking reference angle as angle B.
hypotenuse (h)= AB
perpendicular (p)= 12
base (b)= 24.
Now, let's look which ratio can be used here as p and b are given. Let's use tan ratio here.( as tan = p/b)
[tex] \tan(theta) = \frac{p}{b} [/tex]
[tex]tan(theta) = \frac{12}{24} [/tex]
[tex] \tan(theta) = \frac{1}{2} [/tex]
or, tan theta = (0.5)
Shifting tan to right side making it inverse.
or, theta = tan inverse (0.5)
Therefore, theta = 26.56° or 27° { by rounding off 26.56° we get 27°}.
Hope it helps......