Answer:
228.64 ft
Step-by-step explanation:
Given that the total time, t it takes for you to hear the stone hit the water below equals the time it spent falling, t1 plus the time it takes the sound to reach your ear t2.
Given that t = 4s and t = t1 + t2.
So t1 + t2 = 4 (1)
Also s = 16(t1)² and t2 = s/1100
Thus t2 = 16(t1)²/1000
From (1), t2 = 4 - t1
So 4 - t1 = 0.016(t1)²
0.016(t1)² + t1 - 4 = 0
(t1)² + 62.5t1 - 250 = 0
Using the quadratic formula to find t1,
[tex]t1 = \frac{-1 +/- \sqrt{1^{2} - 4 X -4 X 0.016} }{2 X 0.016}\\t1 = \frac{-1 +/- \sqrt{1 + 0.256} }{0.032} \\t1 = \frac{-1 +/- \sqrt{1.256} }{0.032} \\t1 = \frac{-1 +/- {1.121} }{0.032} \\t1 = \frac{-1 + 1.121 }{0.032} or t1 = \frac{-1 - 1.121 }{0.032}\\t1 = 0.121/0.032 or -2.121/0.032\\t1 = 3.78 s or -66.28 s[/tex]
Since t1 cannot be negative, t1 = 3.78 s
So, s = 16(t1)²
= 16(3.78)²
= 16(14.29)
= 228.64 ft
Someone please help and PLEASE make sure it’s right! Thank you!!! :)
Answer:
7
Step-by-step explanation:
i have checked, i have spoken
Which are linear pairs? Check all that apply. ∠DAE and ∠EAD ∠BAC and ∠CAD ∠BAE and ∠EAD ∠EAD and ∠DAC ∠CAE and ∠BAD
Answer:
B). ∠BAC and ∠CAD
C). ∠BAE and ∠EAD
D). ∠EAD and ∠DAC
Step-by-step explanation:
As we know, a linear pair consisting of angles at a single point of the line has a sum of 180° in total. In other words, two supplementary angles together comprise a linear pair. In the given figure, the pair of supplementary angles ∠BAC and ∠CAD, ∠BAE and ∠EAD, and ∠EAD and ∠DAC are the linear pairs as their sum is 180°. Thus, options B, C, and D are the correct answers.
Step-by-step explanation:
EAD ∠BAC and ∠CAD ∠BAE
please help!!!!!!!!!!!!!!
Answer:
This function is exponential
Which expression has a value that is 6 times the value of the expression 63 – 3y?
A. 6 X 63 - 3y
B. 63 - 3y + 6
C. 63+ (6 x 3y)
D. 6 X (63 - 3y)
o
Answer:
D. 6x(63-3y)
Step-by-step explanation:
You would be multiplying
Step-by-step explanation:
You want to be very carful with the parentheses for this question.
You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.
6 x (63 - 3y)
Solve the formula C = d for d.
A car that is worth 32,000 decreases in value (V) by 12% per year (t). How much will the car be worth in 3 years? (Please round to the nearest dollar) plz help
Answer:
$21,807.10
Step-by-step explanation:
Amount ( percent decrease)^time
32,000(0.88)^3 = $21,807.10
Percent decrease = 100 - 12 = 88%
Which of these expressions is equivalent to`-2(x-5)`?
Answer: 2x+10 is equivalent but id.k if it was a choice bc u didnt put any
Step-by-step explanation: thx for the points
1
Select the correct answer from each drop-down menu.
The function ($) = 38 has been transformed, resulting in function h.
h(s) = -(* + 2) - 4
To create function h function was translated 2 units
V, translated 4 units
and reflected across the
Reset
Next
Answer: up
Step-by-step explanation: good
You deposit $800 in an account that pays 2.25% annual interest compounded continuously. About how long will it take for the balance to triple?
O 48.8 years
O 24 years
O 36 years
O 52.6 years
Answer:
48.8 years
Step-by-step explanation:
A=p(1+r/n)^nt
A= total amount
p= initial investment (800_
r/n= annual interest rate over number of years( 2.25)
t= number of years compounded ( annually , biannually, quarterly etc.)
48.8 years
HELP I WILL GIVE BRAINLESS
Answer
6 months / the $30 ($5 per month) will be cheaper
Answer:
1) Six months
2) The second plan ($30 sign up fee, $5 per month)
Step-by-step explanation:
1) Six months
We can write an equation such as 30 + 5m = x, where m = months and x = total cost after a certain amount of months. If we know that the first plan costs $12 a month, we can find the LCM of 12 and 30 + 5m, which is 60. If we plug in 60 as m in the equation I showed, we'll get this:
30 + 5m = 60
Solve for x = 6.
2) The second plan
Write the first plan as an equation 12m = x, where m is months and x is the total cost after a certain amount of months. If we plug in 12 for m (since there's 12 months in a year), we'll get 12(12) = x, where x is equal to $144 after a year.
Write the second plan as an equation 30 + 5m = x, where m is months and x is the total cost after m months. Plug in 12 again so our equation looks like
30 + 5(12) = x. Solve for x and get $90 after a year.
The distance traveled can be calculated using the formula D = s · t where s is the speed and t is the total time. Which of the situations below represent a total distance of 400 km? Select all that apply.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]D = s.t[/tex]
Required
Which represents 400km
This question requires options. Since none were given, I will answer on a general term.
Situation 1:
s = 20km/h and t = 20h
[tex]D = s.t[/tex]
[tex]D = 20km/h * 20h[/tex]
[tex]D = 400km[/tex]
Situation 2:
s = 10km/h and t = 40h
[tex]D = s.t[/tex]
[tex]D = 10km/h * 40h[/tex]
[tex]D = 400km[/tex]
Situation 3:
s = 40km/h and t = 10h
[tex]D = s.t[/tex]
[tex]D = 40km/h * 10h[/tex]
[tex]D = 400km[/tex]
So, all you literally have to do is multiply the values of s and t. If the product gives 400, then; that situation is D = 400
Lin's father is paying for a $20 meal. A 7% sales tax is applied. What does Lin's father pay for the meal
Answer:
$21.40
Step-by-step explanation:
7% is equal to .07
multiply .07 times 20
=1.40
add the $1.40 sales tax to the meal price to get 21.40
please helppppppppppppppppppppppppppp don't get me wrong
Jon makes $76 in 12 hours of work for his mom. How much would Jon make in 20 hours of work.
Answer:
around 126
Step-by-step explanation:
enter a negative number that has a greater absolute value than 5
Answer:
-10 ||10||
Step-by-step explanation:
hello , how to do 6(iii)?
Answer:
[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}[/tex]
Step-by-step explanation:
Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.
So, dV/dt = 0.03.
We want to show that dS/dt is directly proportional to 1/r.
In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.
First, the volume of a sphere V is given by:
[tex]\displaystyle V=\frac{4}{3}\pi r^3[/tex]
Therefore:
[tex]\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}[/tex]
Next, the surface area of a sphere S is given by:
[tex]\displaystyle S=4\pi r^2[/tex]
Therefore:
[tex]\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}[/tex]
We can divide both sides by 2:
[tex]\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}[/tex]
We can substitute this into dV/dt. Rewriting:
[tex]\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)[/tex]
So:
[tex]\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}[/tex]
Since dV/dt = 0.03 or 3/100:
[tex]\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}[/tex]
Therefore:
[tex]\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)[/tex]
Where k = 3/50.
And we have shown that dS/dt is directly proportional to 1/r.
Choose the multiplication equation that is related to the division equation eight divided by one fourth.
Question 21 options:
one twelfth multiplied by one fourth equals eight
one thirty second multiplied by one fourth equals eight
twelve multiplied by one fourth equals eight
thirty two multiplied by one fourth equals eight help
Answer:
thirty two multiplied by one fourth equals eight
Step-by-step explanation:
Which sequence is an example of an arithmetic sequence
Answer:
Only the third sequence is arithmetic
Step-by-step explanation:
If the sequence has a common difference, then it is arithmetic. To find the common difference, substract a term from the next term.
First sequence:
10 - 20 = -10 5 - 10 = -5 The differences are not the same, so the sequence is NOT arithmetic
Second sequence:
-6 - (-3) = -3 -18 - (-6) = -12 The differences are not the same, so the sequence is NOT arithmetic
Third sequence:
10 - 5 = 5 15 - 10 = 5 20 - 15 = 5 The differences are the same, so the sequence is arithmetic
Fourth sequence:
10 - 5 = 5 20 - 10 = 10 The differences are not the same, so the sequence is NOT arithmetic
Read the paragraph. Click or tap Two underlined words that are SYNONYMS a. initate b. commence c. extend d. termanate
Answer:
where is the paragraph?
Step-by-step explanation:
There are 32 cars, 24 trucks, and 8 vans in a parking lot.
Christopher is going to use a computer at an internet cafe. The cafe charges
$0.20 for every minute using a computer on top of an initial charge of $7.
Make a table of values and then write an equation for C, in terms oft,
representing the total cost of using a computer for t minutes at the internet
cafe.
Answer:
0 7
1 7.20
2 7.40
3 7.60
Step-by-step explanation:
evaluate each expression if m = 13 and n = 8
1.) 2m - n
2.) 3m + 2n
3.) 12 + 3 x m - n
4.)
Answer:
1.) 18
2.) 55
3.)43
Step-by-step explanation:
One Hundred pecent is the same as 1.? true or false
Kristin's credit rating was lowered, and the credit card company raised her APR from 14% to 15.2%. If her average daily balance this month is x dollars, express algebraically the increase in this month's finance charge due to the higher APR. Fill in the blank 1
Answer:
0.0022x
Step-by-step explanation:
Given that,
The credit card company raised her APR from 14% to 15.2%.
Her average daily balance this month is x dollars.
We need to find the algebraically the increase in this month's finance charge due to the higher APR. It can be calculated as follows :
[tex]y=x\times \dfrac{12\%}{14}-x\times \dfrac{15.2\%}{14}\\\\=x\times \dfrac{12}{1400}-x\times \dfrac{15.2}{1400}\\\\=-0.0022x[/tex]
So, the required increase in the month's finance is 0.0022x.
Answer:
0.001x
Step-by-step explanation:
Please help! i cant figure it out
Answer:
y = 3, y = - 1
Step-by-step explanation:
P is the centroid of the triangle.
Centroid of a triangle divides the median in the ratio 2 : 1
Therefore,
BP : PV = 2 : 1
[tex] \frac{BP}{ PV} = \frac{2}{1} \\ \\ \frac{ {y}^{2} + 1 }{y + 2} = \frac{2}{1} \\ \\ {y}^{2} + 1 = 2y + 4 \\ \\ {y}^{2} + 1 - 2y - 4 = 0 \\ \\ {y}^{2} - 2y - 3 = 0 \\ \\ {y}^{2} - 3y + y - 3 = 0 \\ \\ y(y - 3) + 1(y - 3) = 0 \\ \\ (y - 3)(y + 1) = 0 \\ \\ y - 3 = 0 \: \: or \: \: y + 1 = 0 \\ \\ y = 3, \: \: y = - 1 [/tex]
help plzzzzzzzzzzz WILL MARK BRAINLIST
Answer:
7
Step-by-step explanation:
(-1^2)x 3 = 3
-1 x 4 = -4
3--4 = 7
Please answer asap, Due at 11:59!! ( giving brainliest )
Select the equation and solution for the problem. Let x represent the unknown number.
A total of 15 people on a sports team are riding in 3 vans. How many people are riding in each van if each van is carrying the same number of people?
Answer:
C
Step-by-step explanation:
So your total is 15. There are 3 vans, and we want to know how many are on each van.
3 (number of people on each van)=15
Number of people are unknown
3x=15
Divide both sides by 3 to solve for x
x=5
-21 – (-14) =+=
Helpppp
Answer:
-21 - (-14) = -21 + 14 = -7
Step-by-step explanation:
A - and a - make a +. So -21 - (-14) makes -21 + 14. Solve to get -7.
Hope it helps!
The ratio of the number of boys to the number of girls at school is 4:5. If there are 120 boys, how many total students are there? (Write the number only) *
Answer:
150
Step-by-step explanation:
So first you divide 120 by 4 so you know how much times 4 was increased, 4 was increased by 30 times
Next you multiply 5 by 30 because 4 was multiplied by that much
The answer is 150 girls
A (Decode this message)
Answer:
don't cry because it is over smile because it happened
Step-by-step explanation: