Answers
For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x
Do the same thing for 10ft
No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.
Related Questions
jesse walks 3 miles per hour to school.the school is 1.5 miles away.How long would it take jesse to walk to school
Answers
Please mark this the brainlest answer
whats the perimeter of a semi circle which's radius is 100cm
Answers
Answer:
257 cm
Step-by-step explanation:
hope this helps Please inform me when it hepls
and Please mark me as Brainlist
if v = 6i + 3j, what is ||-10v||
Answers
The values of ||-10v|| is 51.96 units
Complex numbers are square roots of negative numbers. They are expressions that consist of both the real and imaginary axis.The general form of a complex number is expressed as z = x + iy
Given the complex number v = 6i + 3j,
10v is expressed as 10(6i + 3j)
10(6i + 3j) = 60i + 30j
Take the modulus of the complex number:
[tex]|10v|=\sqrt{60^2+30^2}\\|10v|= \sqrt{1800+900}\\|10v|= \sqrt{2700} \\|10v|=51.96units[/tex]
Hence the values of ||-10v|| is 51.96 units
Learn more on the complex numbers here: https://brainly.com/question/10662770
A factory employs 1274 people across three departments. The second department employs 70 more people than the first department, and the third department employs 84 more people than the second department. How many people work in each department?
50 POINTS + BRAINILEST TO CORRECT ANSWER <3
also please show step by step if you can :D
Answers
Answer:
350
Step-by-step explanation:
Write out the equation
d + d + 70 + d + 154 = 1274
Simplify
3d + 224 = 1274
Solve
3d = 1050
d = 1050 / 3
d = 350
Answer:
350
No probelm
Guys this is another one. But it’s a different one
Complete the statement to describe how to convert ounces to pound to find the weight in pounds blank the number of ounces by the unit rate ounces per pound
Answers
Answer: you would multiply and the other one is 1536
Step-by-step explanation:
Have nice night
Expand and simplify 4(x-3)+3(2x-5).
Answers
[tex]4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27[/tex]
What is the simplest form of
Answers
Answer:
B
Step-by-step explanation:
Can someone please explain step by step on how I subtract fractions like for an a example!
7/8 - 3/8 ?
Answers
Keep the denominators the same and subtract the numerators. So for example in your example:
7/8 - 3/8
Leave the 8 alone. Subtract 3 from 7.
7 - 3 = 4
So answer is:
4/8
Sometimes they may have to simplify the answer, and in this case, 4/8 could be simplified to 1/2
ANSWER - 7/8-3/8= 4/8
Now since you can simplify 4/8 you would divide both by 4 and your simplified answer is 1/2.
find the value of log9 0.24. (hint: log2=0.301 log3=0.477)
Answers
Answer: -0.65 approximately
Work Shown:
[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]
Find the median of the numbers in the following list. 26, 13, 39, 22, 42,39, 18, 21, 32,14
Answers
Explanation: Put them in order from lowest to greatest
13,14,18,21,22,26,32,39,39,42
Find the two middle numbers and add them then divide by 2.
22+26=48
48/2=24
Answer:
24
Step-by-step explanation:
13,14,18,21,22,26,32,39,39,42
middle is 22 and 26
therefore you add and divide by 2
then you'll get 24
Which expression is equal to 6/7?
Answers
Answer:
Option C
The answer is 6 ÷ 7
Step-by-step explanation:
6/7 which means 6 divided by 7 i.e., 6 ÷ 7
Thus, The answer is 6 ÷ 7
-TheUnknownScientist 72
rotate point B about point F 288 degrees clockwise
Answers
When a shape is rotated, it must be rotated through a point
The new position of point B is point A
The angle of rotation is given as:
[tex]Angle = 288^o[/tex]
The shape is a regular pentagon (with 5 sides).
The smallest angle of rotation that maps the pentagon onto itself is calculated using:
[tex]\theta = \frac{360}n[/tex]
So, we have:
[tex]\theta = \frac{360}5[/tex]
[tex]\theta = 72[/tex]
Let the number of rotations be n.
So, we have:
[tex]\theta \times n= Angle[/tex]
This gives
[tex]72 \times n= 288[/tex]
Divide both sides by 72
[tex]n= 4[/tex]
This means that the new position of B is 4 points away from B.
Point A is 4 points away from B, in clockwise direction
Hence, the new position of point B is point A
Read more about rotation at:
https://brainly.com/question/2283733
What value of c in the equation cx+4y=12 would give the equation a slope of 8? please help me
Answers
Answer:
1cy
Step-by-step explanation:
c(8)+4y=12
8c+4y=12
12cy /12cy=12 /12cy
1cy
Please hurry!! This assignment is almost due!!
Answers
Answer:
x = 23
Step-by-step explanation:
8x-27 = 7x-4
8x-7x = -4+27
x = 23
9 6/7 divide 3? explain your answer
Answers
Answer:
it is a decimal which is 3.28571428571
Step-by-step explanation:
i am in college
Step-by-step explanation:
[tex] \\ 9 \frac{6}{7} \div 3[/tex]
Change the mixed fraction into improper fraction.
[tex] \\ = \frac{69}{7} \div 3[/tex]
Reciprocal 3 for cross multiplication.
[tex] \\ = \frac{69}{7} \times \frac{1}{3} [/tex]
Divide 69 by 3.
[tex] \\ = \frac{ \cancel{69}}{7} \times \frac{1}{ \cancel{3}} [/tex]
[tex] \\ = \frac{23}{7} [/tex]
Divide the result into mixed fraction or decimal.
[tex] \\ = 3.285 \: \: or \: \: 3 \frac{2}{7} [/tex]
[Answer]
Find the value of x need help
Answers
Answer:
x = -8
Step-by-step explanation:
Angle 2 would be the same as 139
thus if angle 2 = x+147
then
139 = x + 147
x = -8
Alex can make 3 pies in 4 hours. At this rate, how long will it take him to make 15 pies?
Answers
Answer
To make 15 pies, it will take Alex 20 hours
Step-by-step explanation:
3 x 5 = 15 pies
4 x 5 = 20 hours
4. Calculate Karl Pearson's Coefficient of Correlation X 43 44 46 40 44 42 45 42 38 40 42 57. Y 29 31 19 18 19 27 27 29 41 30 26 10
Answers
Answer:
Enter the following transactions into richard’s checkbook register and state his ending balance: date type description amount 03/01 check #204 blue sky apartments $455. 00 03/05 dep payroll automatic deposit $390. 36 03/08 debit benny’s hamburgers and fries $9. 20 03/15 check #205 car payment $251. 59 03/19 dep payroll automatic deposit $390. 36 a. $715. 79 b. $1,009. 81 c. $780. 72 d. $880. 24.
Lucy wants to bake a circular apple pie with a radius of 5 in. What is the minimum circumference of the pie pan?
a
Please be accurate of your answer and explain.
Answers
Answer: 6 in.
Step-by-step explanation:
I need help with this plz
Answers
Answer:Mmm
Step-by-step explanation:
I am doing the work I will thell you the answer
Which coordinate grid shows Point A at (0.50, −1.25)?
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 2 grid lines above the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 5 grid lines to the right of the y-axis and 2 grid lines below the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the left of the y-axis and 5 grid lines above the x-axis.
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.
Answers
Answer:
The last option is the correct one
Step-by-step explanation:
Coordinate grid shown from negative 2 to positive 2 on the x-axis and negative 2 to positive 2 on the y-axis in increments of 1 over 4. Only the whole numbers are labeled. A point A is shown at the intersection of 2 grid lines to the right of the y-axis and 5 grid lines below the x-axis.
2(¼) = 0.5
5(-¼) = - 1.25
Answer: i think is A is i am doing the same test if i am wrong please tell me
Step-by-step explanation:
help me out please ???!!!
Answers
The first one lol
..........................
Answer:
√18=√3×3×2=3√2 hope this helps you.
Suppose you select 4 skittles at random from the bowl. What is the proba- bility exactly 1 of those skittles is green
Answers
Answer:
1/4
Step-by-step explanation:
4 skittles and one being green
Answer:
4/5
Step-by-step explanation:
According to the Wrigley's Consumer Care Department, the fruit candies are produced in equal proportions— 20% of each of the five colors (green, red, orange, yellow, and purple). However, although these candies are made in equal proportions, the individual Skittles bags are filled by weight and by machines but on average I'd say 4/5 chance its a green.
If Amari had 15 apples and 14 got taken away how many would there be??
Answers
Answer:
15-14=1
Step-by-step explanation:
1 apple left
Answer:
1 apple
Step-by-step explanation:
15-14=1
Hope the helps!
I do not know how to do it
Answers
Answer:
this is do confusing I do not understand
You deposit $300 each month into an account earning 4% interest compounded monthly. How much will you have in the account in 35 years and how much total interest will you earn?
Answers
Answer:
Step-by-step explanation:
FV = PMT [((1 + r)ⁿ - 1) / r]
PMT = $300
r = 0.04/12
n = 35(12) = 420
FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28
I = $274,119.28 - 300(420) = $148,119.28
3 + 12 + 48 + 192 + ...
Whats the answer
Answers
3 12 48 192 768 3072 12288
add them all up and you get 16383
Answer:
3, 12, 48, 192, 768, 3072, 12288 these are the next seven numbers
Add them all up and you get
= 16383 Answer CStep-by-step explanation:
[tex]3, 12, 48, 192[/tex]
So from 3 to 12 is multiply by 4
So we have checked that it works for all of them
Rule:
Each term is: Two to the power of the number3/4 times the number squared plus 0 times the number
I hope this has helped :)
Men to women working for a company is 2 to 3 if there are 80 employees total how many men work for the company
Answers
Answer:
48
Step-by-step explanation:
because if there is 48 men there is 32 women therefor making 80 employees
A right triangle has legs of lengths 7.5 ft and 8.0 ft. Find the length of the hypotenuse.
Answers
Answer:
multiply
Step-by-step explanation:
how many times bigger is 3,136 than 486 written as a percentage
Answers
Answer:
Step-by-step explanation:
Solution for 468 is what percent of 486:
468:486*100 =
(468*100):486 =
46800:486 = 96.3
Now we have: 468 is what percent of 486 = 96.3
Question: 468 is what percent of 486?
Percentage solution with steps:
Step 1: We make the assumption that 486 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=486$.
Step 4: In the same vein, $x\%=468$.
Step 5: This gives us a pair of simple equations:
$100\%=486(1)$.
$x\%=468(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$frac{100%}{x%}=frac{486}{468}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$frac{x%}{100%}=\frac{468}{486}$
$Rightarrow x=96.3%$
Therefore, $468$ is $96.3%$ of $486$.