Answer:
[tex]k = 6.74 * 10^{-5}[/tex]
Step-by-step explanation:
Given
[tex]F\ \alpha\ \frac{m * M}{r^2}[/tex] --- The variation
[tex]F = 675; m = 125; M = 225; r = 0.0530[/tex]
Required
Determine the constant of proportionality (k)
[tex]F\ \alpha\ \frac{m * M}{r^2}[/tex]
Express as an equation
[tex]F = k\frac{m * M}{r^2}[/tex]
Multiply both sides by [tex]r^2[/tex]
[tex]Fr^2 = km * M[/tex]
Make k the subject
[tex]k = \frac{Fr^2}{m * M}[/tex]
Given that: [tex]F = 675; m = 125; M = 225; r = 0.0530[/tex]
We have:
[tex]k = \frac{675* 0.0530^2}{125 * 225}[/tex]
[tex]k = \frac{1.896075}{28125}[/tex]
[tex]k = 0.000067416[/tex]
This can be represented as:
[tex]k = 6.74 * 10^{-5}[/tex]
If the cones below are similar, what is the ratio of the surface area of Cone A to the surface area of Cone B? 21 in 35 in Cone B Cone A
Answer: the answer is 25:9
Step-by-step:
there’s no explanation i just did the assignment and guessed
(i’m sorry for no explanation just trust me that the answer is 25:9)
which table shows data with variability?
Answer:
the table should show the data
If Clarie bikes at an average speed of 7
miles per hour, how many hours will
it take her to ride 28 miles?
А
28 hours
B
4 hours
9 hours
D
14 hours
a triangle with area 28 square inches has a height that is twi less than four times the base. find the base and the height if the tringle?
Answer:
b = 4 inches and h = 14 inches
Step-by-step explanation:
Given that,
The area of a triangle, A = 28 sq inches
Height is twice less than 4 times the base.
H = 4b-2, b is base
We know that,
The area of a triangle is given by :
[tex]A=\dfrac{1}{2}bh\\\\28=\dfrac{1}{2}\times b\times (4b-2)\\\\56=4b^2-2b\\\\28=2b^2-b\\\\b=4\ inches,-3.5\ inches[/tex]
Base = 4 inches
Height = 4(4)-2
= 14 inches
Hence, this is the required solution.
Rewrite ln x = 8 as an exponential function.
A- ln x + 8 = y
B- ln 8 = x
C- e8 = x
D- ex = 8
Answer:
the answer is going to be b because u going to say In8=×
solve the equation 20.5 = x + 4
Answer:
16.5
Step-by-step explanation:
20.5 = x + 4
16.5 = x
x = 16.5
Answer:
x = 16.5
Step-by-step explanation:
20.5 = x + 4
20.5 - 4 = x + 4-4
THERE IS 2 QUESTIONS PLEASE HELP ME
Answer:
I only know the first on and it's B
QUICK If r+t = r and r−t = −s which of the following must be equal to t?
(A) −s
(B) −r
(C) 0
(D) r
(E) s
Answer:
Well t has to be zero, for r+t to equal r itself. so -s is equal to r, because it's r-0. Answer is C
HELPPPP ASAPPPPP PLZZZ
Answer:
The formula for percent change is [tex]\frac{new-old}{old}(100)[/tex]. Because she scored 13 points and scored 22 points in the next game, the new value is 22 and the old value is 13. Plug in the values to get [tex]\frac{22-13}{13}[/tex] or [tex]\frac{9}{13}(100)[/tex]. Multiply the values to get 69.23 or 69.23%.
Jace is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1 per mile driven. How much would a taxi ride cost if Jace is riding for 8 miles? How much would a taxi ride cost that is m m miles long?
Answer: Cost for 8 miles - 11
Cost for m miles - m+3
Step-by-step explanation:
If one dollar is charged for every miles then it would be 8 dollars plus the initial payment of f 3 dollars.
2x + 2 y = -2
3x - 2y = 12
Answer:
x=2 and y=-6 aka. (2,-6) which is the point of intersection
Step-by-step explanation:
Use elimination to cancel out y by adding the equations:
5x=10
x=2
Plug x=2 into one of the equations and find y:
2(5)+2y=-2
10+2y=-2
2y=-12
y=-6
Therefore, x=2 and y=-6
use the rules for long division to divide 724 by 11
Answer:
65 r 9
Step-by-step explanation:
First we see what 7 divided by 11 is, we know that it is 0 so we put it in the top as our first number then we subtract 0 from 7 which is 7, then we bring down the 2 to make our next number 72, now we see if 11 can go into 72 and we know that it can by 6, we put our six on the top and then multiply it by 11 to get 66, we subtract our 66 from 72 to get 6, we bring down the 4 to make 64 and divide it by 11 to get 5 which we put on the top, then multiply 5 by 11 to get 55, subtract 55 by 64 to get 9 and because now there's no more numbers in the sum, 9 is our remainder.
Hope this helps you, please mark me as brainliest!
Hayden and Brianna received a mortgage in the amount of $164,320 for a condominium that cost $198,450. The documentary stamp tax fee for mortgages in their state is $0.35 per $100 or portion thereof. How much did Hayden and Brianna pay for the documentary stamp tax? (2 points)
Answer:
the answer is 575.12
Step-by-step explanation:
since the mortgage amount is $164320, you divide that by 100 because it is $100 per $.35.
lastly, you multiply it by .35
you should have something like this: 164320/100x0.35
which equals 575.12.
Which of the following is an open statement?
A. 20 is an even number
B. 21 is positive number
C. x is an even number
D. 21 is an even number
Answer:
C. x is an even number
Step-by-step explanation:
The open statement is x is an even number. The correct option is C.
What is an open statement?A statement (as in mathematics) that contains at least one blank or unknown and that becomes true or false when the blank or unknown is filled in or a quantity is substituted for the unknown. The sentences "n + 5 = 3" and "it is divisible by 6" are both open sentences.
here te open statement is given as x is an even number because the statement says that there is an unknown number which is even in nature. So there is a blank for the number the number can be anything from all the even numbers.
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Help please!!
Two cars are traveling on the same road. The number of miles car A travels in x hours can be represented by the equation y = 46x. The graph below describes the motion of car B.
Which car is traveling the fastest? Explain.
A. Car B is Traveling the fastest. car B is traveling 4 miles faster than car A.
B. Cardi B is traveling the fastest. Car B is traveling 10 miles per hour faster than car A.
C. Car A Is traveling the fastest. Car is traveling 4 miles per hour faster than car B.
D. Car A is traveling the fastest. Car A is traveling 10 miles per hour faster than car B.
what is the answer for 28*1/2 without any example
Answer:
14
Step-by-step explanation:
28 times 1/2 is the same as 28 divided by 2. 28 divided by 2 is equal to 14. Therefore, 28 times 1/2 is equal to 14.
If this has helped you please mark as brainliest
Answer:
14
Step-by-step explanation:
28÷1/2 or 28÷.5 =14
14+14=28
1.
Ahmal gets paid weekly at his summer job. He wants to save 15% of each paycheck. In four weeks, he earns these
amounts: $212.50, $235.00, $215.75, and $199.67. What is the total amount he will save for these four weeks?
Answer
UA. $31.88
B. $129.47
C. $733.65
D. $863.12
Answer:
$129.44
Step-by-step explanation:
15% of $212.50 + 15% of $235.00 + 15% of $215.75 + 15% of $199.67 =
= 0.15 * $212.50 + 0.15 * $235.00 + 0.15 * $215.75 + 0.15 * $199.67
= $31.88 + $35.25 + $32.36 + $29.95
= $129.44
Answer: $129.44
Minh made a histogram showing the number of pets for each of his friends.
How many more friends have 4 or 5 pets than have 2 or 3 pets?
2 friends
4 friends
5 friends
7 friends
Histogram titled Number of Pets. Histogram with vertical axis labeled Number of friends and horizontal axis labeled Number of pets. Bar labeled 0 or 1 has a height of 2. Bar labeled 2 or 3 has a height of 4. Bar labeled 4 or 5 has a height of 9. Bar labeled 6 or 7 has a height of 6.
Answer: the answer is C
Step-by-step explanation:
just answered it and it was correct :)
Answer:
c
Step-by-step explanation:
11) The temperature is recorded at 60 airports in a region. The average temperature is 67 degrees Fahrenheit with standard deviation of 5 degrees. What is the probability that a that temperature is greater than 68 degrees?
BRAINLEST☻
Which relation symbol makes this number sentence true?
5/6 ___ 10/16
<
>
Answer:
5/6 > 10/16
Step-by-step explanation:
5/6 is 83.33%
10/16 is 62.5%
Answer:
the correct answer is <
0.8<0.6
Verify & mention the below given property a*(+)=*+*of rational numbers by taking a= 1:3, b= 1:5 c= -2:3
To Prove :
a×(b+c) = a×b + a×c
Solution :
Solving L.H.S. we get :
[tex]a(b+c ) = \dfrac{1}{3}( \dfrac{1}{5}-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Solving R.H.S. we get :
[tex]a\times b + a\times c = \dfrac{1}{3}\times \dfrac{1}{5} + \dfrac{1}{3}\times (-\dfrac{2}{3})\\\\= -\dfrac{7}{45}[/tex]
Since, L.H.S = R.H.S
Therefore, the given equation is correct.
Suppose you have a job teaching swimming lessons and get paid $6 an hour.
You also have a job as a cashier and get paid $8 an hour. If you cannot work
more than 15 hours a week, what are the number of hours you can work at
each job and still make at least $100?
you can do 13 hours as a job as a cashier, and 2 hours as as a swim instructor to get 116 dollars.
If y varies directly as the x squaredand y = 200 when x = 5, what is the value of y when x = -3? a. Negative 72 b. 120 c. 72 d. Negative 120
Answer:
C i think
Step-by-step explanation:
Answer:
y varies as the x², y=200 when x=5
Step-by-step explanation:
y=(k)x
200=(k)5
200/5=40
therefore; y= -120 because
y=(40)-3
y=-120
SOCCER Alice kicks a soccer ball towards a wall. The ball is deflected off the wall at an angle of 40°,
and it travels 6 meters. How far is the soccer ball from the wall when it stops rolling?
Answer:
The ball is 3.86 meters from the wall when it stops rolling.
Step-by-step explanation:
Representation of the situation:
This situation can be represented by a right triangle:
The hypotenuse is the distance the ball traveled, of 6 meters.
The distance from the wall is the side opposite to the angle of 40º.
We have that:
Sine of an angle is the length of the opposite side divided by the hypotenuse. So, in this situation.
Sine of 40 degrees = Distance from the wall/6
Sine of 40 degrees is of 0.64278760968.
Distance = 6*0.64278760968 = 3.86.
The ball is 3.86 meters from the wall when it stops rolling.
A farmer wants to divide his 2700 km2 of land into two separate pastures for his new horses by building a fence that will enclose both pastures. He wants one pasture to be twice the size as the other. What should the dimensions of the larger pasture be if he wants to use the least amount of fencing?
Answer:
Step-by-step explanation:
just a guess, it seems like you are asked about only dimensions of the big one, isnt that just 2/3 of 2700 km2. that is 1800km2 which = 60 km x 20km.
Answer:
All kinds of questions since you don't describe the enclosures.
Do the two fields have the same width?
Are there two disjointed fields with the same width and one length twice the other?
If they are joined by a common width, is that common width included in the total perimeter?
I guess this is d answer=60km×30km
Which statements about the end behavior of f (x) = StartFraction x squared + 1 Over x minus 1 EndFraction are true? Check all that apply. Limit of StartFraction x squared + 1 Over x minus 1 EndFraction as x approaches infinity = limit of StartFraction 1 Over x EndFraction as x approaches infinity Limit of StartFraction 1 Over x EndFraction as x approaches infinity = infinity The end behavior of the function is that as x →∞, y →∞. According to the leading terms, the limit of the function is 1 as x approaches ∞. The function does not have a horizontal asymptote.
Answer:
The end behavior of the function is that as x →∞, y →∞.
The function does not have a horizontal asymptote.
Step-by-step explanation:
Got it right on Edge.
Answer:
a,b,c
Step-by-step explanation: right on slide 4 of e2020
In 4/5 hours, Manuel reads 3/4 chapters. What is the unit rate in chapters per hour?
Manuel reads 3/4 chapter in 4/5 hours.
Rate = Chapter / Hours
Rate = (3/4) / ( 4/5)
Rate = 0.75 / 0.80
Rate = 0.9375
So, Manuel reads the chapter with rate 0.9375 chapters/hour.
Answer:
1 1/5, i think sorry if its wrong
Step-by-step explanation:
PlZ, HELP ME, PLZZZZZZZZZZZZZZZZZZ!!!!!!!
1/5 (2x+1)-1/10(2x-1)
!!!!!!!!!
Thanks!!!!!! You Humans are Genius'
Answer:
x=
37
17
Step-by-step explanation:
Probability!
the desks in a classroom are organized into four rows of four columns. each day the teacher randomly assigns you to a desk. you may be assigned to the same desk more than once. over the course of 5 days, what is the probability that you are assigned to a desk in the front row exactly twice?
answer:
12.5%
explain:
16 seats= 6.25% for each seat
4/16=25%
the chances of it happening again is 12.5%
The probability that you are assigned to a desk in the front row exactly twice is 12.5%.
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Probability = Number of favourable outcomes / Number of sample
Given that the desks in a classroom are organized into four rows of four columns. each day the teacher randomly assigns you to a desk. you may be assigned to the same desk more than once. over the course of 5 days,
The probability will be calculated as,
16 seats = 6.25% for each seat
4/16=25%
The chances of it happening again are 12.5%
Therefore, the probability that you are assigned to a desk in the front row exactly twice is 12.5%.
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Determine the nature of the solution(s) of
5w2 – 2w= -4
A- one real, rational solution
B- two real, irrational solutions
C- two imaginary solutions
D- two real, rational solutions
Answer:
Step-by-step explanation:
This is a quadratic equation. We'll find the discriminant, but must first rewrite this equation in standard form:
5w2 – 2w + 4 = -4 + 4, or 5w^2 - 2w + 4 = 0
The coefficients of the w terms are {5, -2, 4}
and so the discriminant b^2 - 4ac is 4 - 4(5)(20) = -396
Because the discriminant is negative, we know that there will be two unequal, complex solutions.