The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
Answer:
0.32km
Step-by-step explanation:
The speed that a tsunami can travel is modeled by the equation s = 356 StartRoot d EndRoot , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers.
This is written mathematically as:
S = 356√d
What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
S = 200km/hr
Hence:
200km/hr = 356√d
Divide both sides by 356
200/356 = 356√d/356
√d = 200/356
Square both sides
(√d)² = (200/356)²
d =(0.5617977528)²
d = 0.3156167151km
Approximately = 0.32km
Answer:
0.32 kilometers
Step-by-step explanation:
edge 2020
hope this helps!
The parabola y=x^2 is shifted down by 6 units and to the right by 5 units. What is the equation of the new parabola
Answer:
y = (x - 5)^2 - 6
Step-by-step explanation:
If you slide a parabola up or down, that translation will show up in the equation just tacked on to the end of the equation. Down 6 will be a MINUS 6.
A horizontal shift will show up in the equation tucked in close to the x in a set of parenthesis. BUT it will look less intuitive...a right shift will be a MINUS.
Untransformed:
y = x^2
Shift down 6:
y = x^2 - 6
Shift right 5:
y = (x - 5)^2
Down6 AND Right5:
y = (x - 5)^2 - 6
Bus A stops at a certain bus stop every 25 minutes. Bus B stops at the same stop every 40 minutes. If both buses are at the bus stop at 9:30 a.m., when is the next time they will be there together again? A. 12:20 p.m. B. 12:50 p.m. C. 1:10 p.m. D. 1:30 p.m.
25 : 1,25,50,75,100,125,150,175,200
40: 1,40,80,120,160,200
They will meet again after 200 minutes.
[tex]x = \frac{200}{60} = 3 + \frac{20}{60} [/tex]
So they will meet again after 3 hours and 20 minutes;
9:30 + 3:20 = 12:50 p.m.
That's your answer
The next time where both bus A and bus B are together at a stop is
12:50 pm.
Given,
Bus A stops at a certain bus stop every 25 minutes.
Bus B stops at the same stop every 40 minutes.
If both buses are at the bus stop at 9:30 a.m.
We need to find when is the next time they will be there together again.
How many minutes in one hour?
1 hour = 60 minutes.
Find the total minutes traveled by bus A after 8 stops.
We have,
1 stop = 25 minutes
Multiplying by 8 on both sides.
8 x 1 stop = 8 x 25 minutes
8 stops = 200 minutes
We see that at the 8th stop bus A has traveled for 200 minutes.
Find the total minutes traveled by bus B after 5 stops.
We have,
1 stop = 40 minutes
Multiplying both sides by 5.
5 x 1 stop = 5 x 40 minutes
5 stops = 200 minutes
We see that at the 5th stop bus B has traveled for 200 minutes.
We can say that after 200 minutes of traveling each bus has stopped at the same place.
We have,
Both buses are at the bus stop at 9:30 a.m.
So,
60 minutes = 1 hour
200 minutes
= 60 minutes + 60 minutes + 60 minutes + 20 minutes
= 3 hours 20 minutes
So,
9:30 am + 3 hours 20 minutes
= 12:50 pm
Thus the next time both the buses are together is 12:50 pm.
Learn more about finding the time when two buses leave the stop together here:
https://brainly.com/question/199965
#SPJ2
A teacher has a treats bag with eleven different types of candy/chocolate inside. What is the minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked?
The minimum number of pieces of candy must be taken to ensure that two of the same pieces of candy are picked is 12.
How to find the minimum number?So obviously, there is the case where with only two draws you can get the same candy twice, but we need to find a number N such that we know for sure that always that we take N candy, we drew at least one pair of equal candy.
There are 11 types of candy in the bag.
Now, suppose the next thing.
First, you draw a candy, now there are 10 types of candy in the bag that are different than the one you got.
Now you draw again, and get a different candy, so now there are 9 types of candy in the bag different to the two you got.
Now you keep doing this and getting a different type of candy until you already have the 11 types of candy in your hands.
Now if you draw a candy again, one pair will be formed (because you have all the types of candy already).
From this, we can conclude that always that you draw 12 pieces of candy, at least one pair will be formed.
If you want to learn more about counting, you can read:
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PLS ANSWER)
Side measures are preserved in which of the following types of transformations?
I. rotations
II. Reflections
III. Translations
A. I and III only
B. I and II only
C. I, II, and III
D. I only
what is 30% of 90???
Answer:
30 percent of 90 is 27
Answer:
27
Step-by-step explanation:
What is 30 percent (calculated percentage %) of number 90? Answer: 27.
Ty is right inches taller than his brother Reece if ty is 42 inches tall how tall is Reece. Write an equation using a variable r?
HELP! Simplify
3/14[tex]\sqrt{98}[/tex]
p is inversely proportional to v when v=8 p=5 given that p=40/v calculate the value of p when v is 2
Answer:
p = 20
Step-by-step explanation:
Given that the equation of variation is
p = [tex]\frac{40}{v}[/tex]
When v = 2 , then
p = [tex]\frac{40}{2}[/tex] = 20
Lexi eats 49.5 ounces of dog food in 3 days. How much dog food would Lexi eat in 7 days?
8 people have to give a presentation in class today how many different orders can they speak in
Answer: 40,320
Step-by-step explanation:
By Permutation,
The number of arrangements for n things is given by n!.
[Here order matters]
Given: Number of people will give a presentation in class =8
Then, the number of different orders = 8!
= 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 40320
Hence, the number of different orders = 40,320
1/cosec theta-cot theta-1/sin theta =to prove 1/sin theta-1/cosec theta+cot theta
Answer:
wat is dat about? :3
What is the area of the flag shown below? 2 3/4. 1 3/4
Answer:
the answer must be 7/4
I hope it helps you
you get an 4% commission on a $300 T.V.How much commission you earned?
Answer:
I'm pretty sure it's 12. hope it helps.
Donovan took a math test and got 35 correct and 10 incorrect answers. What was the percentage of correct answers? (Round to the nearest hundreth.)
Answer:
71%
Step-by-step explanation:
35-10=25
25/35=0.7142857143
25/35=71%
Answer: 77.78%
Step-by-step explanation:
35/45=77.77777%
Help please
(3/5)^2
[tex]( { \frac{3}{5} })^{2} [/tex],
[tex] \frac{9}{25} [/tex]
is the answer
Answer:
(3/5)by2
Step-by-step explanation:
3/5
3*3=9
5*5=25
9/25
If you can buy 1⁄3 of a pound of turkey for 4 dollars, how much can you purchase for 10 dollars?
Answer:
5/6 lbs
brainliest would be appreciated!
algebra tile grid (x+2)(x-3)
Solve By Substitution
The senior classes at High School A and High School B planned separate trips to the water park. The senior class
at High School A rented and filled 14 vans and 16 busses with 1086 students. High School Brented and filled 10
vans and 13 busses with 870 students. Every van had the same number of students in it as did the busses. Find
the number of students in each van and in each bus.
What is 5.72x10^3 in standard form
Answer:
0.00572
Step-by-step explanation:
pretty sure thats the answer
In 153.72, which digit is in the hundredths place?
Answer:
2 is in the hundredths place
What is the quotient of StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction? StartFraction 1 Over 343 EndFraction One-seventh 7 49.
The quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
What is the quotient?Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The number StartFraction 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline EndFraction, given can be written as,
[tex]\dfrac{7^{-1}}{7^{-2}}[/tex]
Let the quotient of this division is n. Therefore,
[tex]n=\dfrac{7^{-1}}{7^{-2}}[/tex]
A number in numerator of a fraction with negative exponent can be written in the denominator with the same but positive exponent and vise versa. Therefore,
[tex]n=\dfrac{7^{2}}{7^{1}}\\n=7[/tex]
Hence, the quotient of the number given number 7 Superscript negative 1 Baseline Over 7 Superscript negative 2 Baseline is 7.
Learn more about the quotient here;
https://brainly.com/question/673545
Answer:
C
Step-by-step explanation:
C
Form the perfect square trinomial in the process of completing the square. what is the value of c? x2 3x c = startfraction 7 over 4 endfraction c c =
While making a perfect square for the given quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] the value of c is 9/4
It is given that the quadratic equation [tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex] while forming the perfect square.
It is required to find the value of c.
What is a quadratic equation?It is defined as the equation of polynomial of degree two. The standard form of the quadratic equation is as follows:
[tex]\rm ax^2+bx+c=0[/tex] where [tex]\rm a\neq 0[/tex]
We have a quadratic equation:
[tex]\rm x^2+3x+c=\frac{7}{4} +c[/tex]
We know that we can make any quadratic equation into a perfect square by the perfect square trinomial method as follow:
[tex]\rm ax^2+bx+c=0\\\rm ax^2+bx=-c\\\rm ax^2+bx+(\frac{b}{2a})^2 =-c+(\frac{b}{2a})^2\\[/tex]
So, the value of 'c' would be:
[tex]\rm c=(\frac{b}{2a})^2\\[/tex] here b=3 and a=1 by comparing the equation to the standard equation.
[tex]c=(\frac{3}{2\times1} )^2\\c=(\frac{3}{2} )^2\\c=\frac{9}{4}[/tex]
Thus, while making a perfect square for the given equation the value of c is 9/4
Know more about the quadratic equation here:
https://brainly.com/question/2263981
Answer:
9/4
Step-by-step explanation:
correct on edge
if you answer this correctly, i will give you a Brainly :D
Answer:
trapizoide
Step-by-step explanation:
Simplify 9 + 7 + n.
n + 16
n + 17
16n
Answer:
16+n
Is this all? if yes 9+7=16 so 16+n is the simplified form o.o
16+n is the answer
9+7+n
=16+n
10= -3y+5.8
find y
Extra point to brainliest and thanks for answering :)
Answer:
y = 14
Step-by-step explanation:
Answer:
-1.4
Step-by-step explanation:
substitute 10 and -3y
so it should look like -3y=10-5.8
then simplify so its -3y=4.2
divide both sides by -3 and you get y = 4.2/-3
multiply both the numerator and denominator by 10 and you get y= 42/-30
reduce the fraction to lowest terms by extracting and canceling out 6.
you end up with - 7/5 which simplifies to -1.4 so y = -1.4
pls helpppppppppppppp
Answer:
-1/36
Step-by-step explanation:
-5/18 - ( -1/4)
Subtracting a negative is like adding
-5/18 + 1/4
Getting a common denominator of 36
-5/18 *2/2 + 1/4 *9/9
-10/36 + 9/36
-1/36
Two times a number divided by seven if forty. Express this sentence using algebraic symbols.
Answer:
(2x)/7=40Step-by-step explanation:
number is x
(2x)/7
=40
What is the potential energy of a 3 kg ball that is on a shelf 2 meters high?
Step-by-step explanation:
mass(m)= 3kg
height(h)= 2m
gravity(g)= 9.8 m/s^2
P.E.= mgh
=3*2*9.8
=58.8 Joule
Answer:
58.84 Joules
Step-by-step explanation:
3(Mass)*2(Height)*9.8=58.84J
Evaluate the piecewise function for f(-2).
A. -15
B. -13
C. 11
D. 17