Answer:
[tex]2.89\ \text{s}[/tex]
0.11 seconds
[tex]37.4\ \text{m}[/tex]
Step-by-step explanation:
[tex]t_1[/tex] = Time taken by the pebble to hit the water
[tex]t_2[/tex] = Time taken by the sound to travel to the observer
[tex]t_1+t_2[/tex] = Time taken by the observer to listen to the splash after stone is thrown = 3 s
[tex]t_1=3-t_2[/tex]
a = g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
[tex]u_s[/tex] = Speed of sound = 340 m/s
The distance traveled by the pebble
[tex]s=ut+\dfrac{1}{2}at_1^2\\\Rightarrow s=0+\dfrac{1}{2}\times9.81(3-t_2)^2\\\Rightarrow s=4.905(9+t_2^2-6t_2^2)[/tex]
Distance traveled by the sound
[tex]s=u_st\\\Rightarrow s=340\times t_2[/tex]
The distance traveled by the sound and the pebble is equal
[tex]4.905(9+t_2^2-6t_2)=340\times t_2\\\Rightarrow 9+t_2^2-6t_2=\dfrac{340}{4.905}t_2\\\Rightarrow 9+t_2^2-6t_2=69.32t_2\\\Rightarrow t_2^2-75.32t_2+9=0\\\Rightarrow t_2=\frac{-\left(-75.32\right)\pm \sqrt{\left(-75.32\right)^2-4\times \:1\times \:9}}{2\times \:1}\\\Rightarrow t_2=75.2,0.11[/tex]
Since [tex]t_1+t_2=3[/tex] the value of [tex]t_2[/tex] cannot be greater than 3.
So, time taken by the sound to reach the observer is 0.11 seconds.
Time taken by the pebble to hit the water is [tex]t_1=3-t_2=3-0.11=2.89\ \text{s}[/tex]
Depth of the well is [tex]s=340t_2=340\times 0.11=37.4\ \text{m}[/tex]
The sum of two numbers is 36. The larger number is 14 more than the smaller number. What are the numbers?
Answer:
25 and 11
Step-by-step explanation:
because subtract 14 from 36 it will give u 11 so 11 is your smaller number and 25 is your bigger
Hope this helps :)
Answer:
The numbers are 11 and 25.
Step-by-step explanation:
Assign x to the the numbers.
One of the numbers is 14 more than the other.
x + (x+14) = 36
Smaller number = x
Bigger number = x +14
2x + 14 = 36
2x = 22
x = 11 = smaller number
x = 11 + 14 = 25 = bigger number
Nathan is opening a savings account that has 10% streaks simple interest rate. He deposits $75 in the account. After 5 years, he will have $112.50 in his account. How many more dollars would Nathan earn after 5 years with a 10% compounded internet rate?
Answer:
brah
Step-by-step explanation:
At Cass High School, 2/3 of the students play a sport. Of the students who play a sport, 2/5 play football. What fraction of the students at Cass High School play football? *
Answer:the answer is 3/8.
Step-by-step explanation:
ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.
O 1/2
O 1
O 2
O None of the above
Answer: is 1/2
Step-by-step explanation:
at buffalo mild wings the price of chicken wings depends on the number of wings that you order plot the ordered pairs from the table
Answer:
No
Step-by-step explanation:
It is not because 8/5 16/8 is not proportional. If it were to be proportional it would be 8/5 and 16/10 NOT 16/8
Marco had sales of $28,000. He makes a graduated commission of 4% on the first $10,000, 5% on the next $20,000 and 6% on anything over $30,000. Find his total commission
Answer:
$1,300
Step-by-step explanation:
commission on the first $10,000
= 4/100 * 10000
= $400
remaining amount
= $28,000 - $10,000
= $18,000
commission on remaining $18,000
= 5/100 * 18000
= $900
total commission
= $400 + $900
= $1,300
Find the coordinates for the verticals of each figure after the given transformation need help ASAP
Answer:
Question 7: The new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question 8: The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
Step-by-step explanation:
Question No 7:
Translation Rule: (x,y) =>
U(-5,1), V(-4,3), W(-3,3), X(-4, 1)
In order to get the new coordinates, we have to add 6 to x-coordinate of vertices subtract 3 from y-coordinates of all vertices. So,
[tex]U(-5,1) => (x+6,y-3) => (-5+6, 1-3) => U'(1,-2)\\V(-4,3) => (x+6,y-3) => (-4+6, 3-3) => V'(2,0)\\W(-3,3) => (x+6,y-3) => (-3+6, 3-3) => W'(3,0)\\X(-4,1) => (x+6,y-3) => (-4+6, 1-3) => X'(2,-2)[/tex]
Hence, the new vertices after translation are:
U'(1-2), V'(2,0), W'(3,0), X(2,-2)
Question No 8:
W(-3,-2), X(-2,2), Y(2,0), Z(1,-3)
Translation Rule: (x+2,y+2)
In order to get the new coordinates, we have to add 2 to x-coordinate of vertices and add 2 to y-coordinates of all vertices. So,
[tex]W(-3,-2) => (x+2,y+2) => (-3+2, -2+2) => W'(-1,0)\\X(-2,2) => (x+2,y+2) => (-2+2, 2+2) => X'(0,4)\\Y(2,0) => (x+2,y+2) => (2+2, 0+2) => Y'(4,2)\\Z(1,-3) => (x+2,y+2) => (1+2, -3+2) => Z'(3,-1)[/tex]
Hence The new coordinates after translation are:
W'(-1,0), X'(0,4), Y'(4,2), Z'(3,-1)
Jenna's class brought in 40 pieces of fruit for a celebration and 32 pieces of fruit were eaten. What percentage of the fruit was NOT eaten? SHOW YOUR WORK
WILL GIVE BRAINLIST,EXTRA POINTS, AND 5 STARS
Answer:20
Step-by-step explanation:
Because it's not relevant
Sabrina is x years old.
Meghan is twice as old as Sabrina.
Michael is three years younger than Meghan.
The product of Sabrina's and Michael's age is 35.
How old is Meghan?
Answer:
10
Step-by-step explanation:
If Sabrina is 5 & Michael is 7. (5×7=35)
Michael is 7, & he is 3 yrs younger than Meghan, who is 10. And Meghan is twice as old as Sabrina, when Sabrina is 5 (5×2=10).
Answer:
Meghan is 10 years old
Step-by-step explanation:
We can write out the information with equations and then combine the information. Then, we can solve for x and hence solve for Meghan's age.
We write our first variable, x. Meghan (m) is twice as old as Sabrina (x). So we write:
m = 2x
Michael (M) is 3 years younger than Meghan. So we write:
M = m - 3
The product (multiplication) of Sabrina's and Michael's age is 35. So we write:
Mx = 35
To solve for x, we can substitute Meghan's age (2x) into the equation for Michael.
M = 2x - 3
Then, we can substitute this for M in the final equation to solve for x. This will be a quadratic so we factorise to solve it:
x(2x - 3) = 35
2x² - 3x = 35
2x² - 3x -35 = 0
(2x - 7)(x - 5) = 0
x = ⁷⁄₂ or 5
we know it is 5 since ⁷⁄₂ does not work and it is not a whole number. Hence:
m = 2(5)
m = 10
Claire is painting some doors that are all the same size. She used 2 liters of paint to cobe 1 3/5 doors. How many liters of paint are needed for 1 door.?
Answer:
[tex]1 \dfrac{1}{4} \ liters[/tex]
Step-by-step explanation:
Given that:
Claire uses 2 liters of paint to cover 1 3/5 doors
Then in order for her to paint 1 door, She will need:
2 L = 1 3/5 door
x L = 1 door
[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]
[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]
[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]
[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]
[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]
[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]
what is the highest common factor of 10,18 ,20 and 36
Answer:
2
Step-by-step explanation:
Factors of 10: 1 , 2 , 5 , 10Factors of 18: 1 , 2 , 3 , 6 , 9 , 18Factors of 20: 1 , 2 , 4 , 5 , 10 , 20Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12The answer is 2 because it appears more then 1 which means that it is the highest common factor aka HCF
Hope this helps
The HCF is 2.
What is HCF?
The full form of HCF is the Highest Common Factor. HCF of two or more numbers is the greatest factor that divides the numbers.
For example, 2 is the HCF of 4 and 6.
Given numbers:
10,18 ,20 and 36
Now splitting the factors of each number we have
10=2*5
18=2*3*3
20=2*2*5
36=2*2*3*3
Hence, the Highest common factor is 2.
Learn more about HCF here:
https://brainly.com/question/28574719
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2.4 *10^2
5.25*10^2
2.53*10^1
1.8*10^3
Order from least to greatest
1. To graph any linear equation in the calculator it needs to be in the slope
y intercept form. What is the slope y-intercept form for the equation
4y – 20x = -8
Answer:
y=mx+b no judgement i think this is right but i coukldbe completely off
Step-by-step explanation:
plz help i will give brainliest
Answer
b
Step-by-step explanation:
yeah
Answer:
ok go on a site called math.way it will really help you
Step-by-step explanation:
Anahuac was
a.
a Native American tribe living in North Texas.
b.
the site of a small fort that controlled commerce into Mexico.
c.
a battle during the Mexican Revolution for independence from Spain.
d.
the leader of Mexico.
The answer is B
I hope you have a nice day!
Answer:
b
Step-by-step explanation:
took test on edge 2020
what is the 3rd equivalent fraction to 2/3
Answer:
What do you mean by third equivilent fraction? One equivalent fraction is 4/6.
Step-by-step explanation:
what is the slope of (4,9)
Answer:
hope it helps..
Step-by-step explanation:
Using the slope-intercept form, the slope is 0 .
Even Odd or Neither.
I need help on this question
Answer:
25.981 seconds
Step-by-step explanation:
because X represents the magnitutde of falling height substitute 1200 into the original equation and you will find the above answer
Increase 110 by 60%
Answer:
176
Step-by-step explanation:
i will give brainliest if correct
Answer:
-18
Step-by-step explanation:
k ≥ −18
Answer:
The solution is K > -18
_
What is the least common multiple of 17, 20, and 12?
the least common multiple is 1,020 :)
Answer:
Attached above is the answer
HELPPPPPPPPP ASAPPP!!!!!!!!
Answer:
A is correct
3.75x 1^5 is also written as 375000
Divide 375000 by 75 and u get 5, 000
5 times 10^3 is also 5000
therefore A is correct
Step-by-step explanation:
Answer:
5000 or A. 5 x [tex]10^{3}[/tex]
Step-by-step explanation:
3.75 x [tex]10^{5}[/tex] = 375000
375000/75 = 5000
The horizontal asymptote of the rational function f(x)= −2/+2 (x minus 2 over x plus 2) is *
9514 1404 393
Answer:
y = 1
Step-by-step explanation:
The horizontal asymptote can be found as the ratio of the highest-degree terms in the numerator and denominator.
f(x) = (x -2)/(x +2)
lim (x→ ±∞) of f(x) = x/x = 1
For the function f(x) = x2 + 4x - 12 solve the following.
f(x) < 0
Answer:
(-6,2)
Step-by-step explanation:
[tex]f(x)<0[/tex]
We are given [tex]f(x)=x^2+4x-12[/tex].
So we need to solve:
[tex]x^2+4x-12<0[/tex]
First let's find when the expression on the left is 0.
[tex]x^2+4x-12=0[/tex].
The expression on the left is factorable.
Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.
Those numbers are 6 and -2 so the factored form is:
[tex](x+6)(x-2)=0[/tex]
So the solutions can be found be solving the following linear equations:
[tex]x+6=0[/tex] and [tex]x-2=0[/tex].
First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]
Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]
So draw a number line with those on it and test the intervals they divide.
--------(-6)--------(2)----------
So we need to test three intervals.
*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].
Let's plug in x=-8
[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].
[tex]f(-8)=(-8+6)(-8-2)[/tex]
[tex]f(-8)=(-2)(-10)[/tex]
[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.
So we will not include this interval in our answer.
*Plug in a number between -6 and 2 like 0.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(0)=(0+6)(0-2)[/tex]
[tex]f(0)=(6)(-2)[/tex]
[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.
So our solution includes the interval (-6,2).
*Plug in a number after 2 like 5.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(5)=(5+6)(5-2)[/tex]
[tex]f(5)=(11)(3)[/tex]
[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.
The answer only includes the interval (-6,2).
IF ANYBODY GETS THIS RIGHT, I WILL GIVE BRAINLIEST.
If it is 7:05 right now, when will it be in 15 minutes?
Answer:
7:20
Step-by-step explanation:
Its very complex i know
Awan makes 1 3/4 quarts of tea he drinks 2/5 of the tea how many quarts of tea did awan drink
Answer:
1 7/20 or 27/20
Step-by-step explanation:
Convert the fraction to where the denominators are both equal then subtract 2/5
A fraction is a way to describe a part of a whole. The amount of coffee that Awan drinks is 0.7 quarts.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given Awan has 1 3/4 quarts of tea, also he drinks 2/5 of the coffee, therefore, the amount of coffee that Awan drinks is,
Amount of Coffee = 1 3/4 × 2/5
Amount of Coffee = 7/4 × 2/5 = 14/20 = 7/10 = 0.7 quarts
Hence, the amount of coffee that Awan drinks is 0.7 quarts.
Learn more about Fraction:
https://brainly.com/question/1301963
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A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.
21 points bruh and also sub to RahimZ
use the graph to answer this question to the nearest tenth what is the length of EG
Answer:
218 (not positive its correct)
Step-by-step explanation:
i need this asap!!!! please! will give brainliest and a thanks to fast answers!
Answer:
2 big
30 small
Step-by-step explanation:
possibility