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
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?
A)liz
B)Rick
this is Compare rates: word problems please show and explain the work show WORK
PLEASE HELP!!!
The perimeter of a rectangular coffee table is given by the trinomial 2t2+4t+2. The table's length is 2t-3. What is the table's width?
Answer:
t^2+4
Step-by-step explanation:
The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:
4t-6+2w=2t^2+4t+2
4t+2w=2t^2+4t+8
2w=2t^2+8
w=t^2+4
This means that the table's width is t^2+4
Pleaseeee help answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!
Answer:
The answer to the question is 540°
Step-by-step explanation:
The reason to the answer is:-
There is a formula which is (n - 2) × 180
n is the number of sides the shape has, and there is 5 sides so we subtract 5 - 2 = 3
Therefore, 3 × 180 = 540°
I hope this answer helps!
Answer:
540°
General Formulas and Concepts:
Math
CountingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Sum of Angles: 180(n - 2)°Step-by-step explanation:
Step 1: Define
We have a polygon with 5 sides (a pentagon)
n = 5
Step 2: Find Sum
Substitute in n [Sum of Angles]: 180(5 - 2)°(Parenthesis) Subtract: 180(3)°Multiply: 540°Evaluate the expression 9.3^1
Answer:
9.3
Step-by-step explanation:
Graph the line with slope -5 and y-intercept 7.
Answer:
start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1
mark invested 125 he earned a simple interest of 3% per year on the initial investment if no money was added or removed from the investment what was the amount of interest mark received at the end of two years
Answer:
$7.50
Step-by-step explanation:
formula for simple interest:
I = prt
I = ($125)(0.03)(2)
I = $7.50
Answer:
You time 125 by 1.03 twice subtract 125 from that awnser to get the amount of money from interest 7.6125 is the awnser
Step-by-step explanation:
Describe the meaning of y >_ 7.9 in words.
this means that y can be equal to 7.9 or any other number above
-11r + 88 = 77
Solve for r
Answer:
r=1
Step-by-step explanation:
77 - 88 = -11
-11/-11 = 1
A blank is a fraction with a denominator of one
Answer:
Whole Number
Step-by-step explanation:
Answer:
A whole is a fraction with the denominator of one.
Step-by-step explanation:
Triangle XYZ is rotated 90° counterclockwise about the origin.
What are the coordinates of point Y’?
(4, –2)
(1, 4)
(–4, 1)
(–1, –4)
Answer:
i think 42
Step-by-step explanation:
Answer:
B -(1,4)
Step-by-step explanation:
find the volume of the earth if the diameter is 7917.5
Answer:
Step-by-step explanation:
diameter=7917.5
r=3958.75
the earth is sphere
V=4/3x3.14xr^3
V=2.6*10^11
Solve this system of linear equations. Separate the x- and y- values with a comma.
17x = 43 - 15y
8x = -68 + 15y
Answer:
(-1,4)
Step-by-step explanation:
Using elimination, add the two equations to get rid of the y variable.
17x = 43 - 15y
+8x = -68 + 15y
=25x = -25
x = -1
Now plug in -1 for x in any of the equations.
17(-1) = 43 - 15y
-17 = 43 - 15y
-60 = -15y
y = 4
Is(3, 2) a solution to the system on inequalities ?Explain.
Answer:
No
Step-by-step explanation:
The solution of the system of inequalities is the intersection region of all the solutions in the system. Example 1: Solve the system of inequalities by graphing: y≤x−2y>−3x+5. First, graph the inequality y≤x−2 .
What is an equation of the line that passes through the points (-6, 2) and
(-4, -1)? Put your answer in fully reduced form.
Answer (assuming the equation can be written in point-slope form):
[tex]y-2 = -\frac{3}{2}(x+6)[/tex]
Step-by-step explanation:
When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].
1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:
[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]
Thus, the slope is [tex]-\frac{3}{2}[/tex].
2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for
[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]
Betsy bought 10 pencils for $0.15 each, 8 notebooks for $1.50 each, and a book for $45.00.
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Please help with what you can!
Thank you!
Answer:
The answer to number 9 is: 148.16
50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 620 students in the school how many students would you expect in the entire school to prefer Coke?
Answer:
around 470 students would prefer coke
Step-by-step explanation:
50 - 12 = 38
38 / 50 = 76%
620 (0.76) = 471.2
Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?
Answer: Jesse
Step-by-step explanation:
Elizabeth - 50f/10s
Jesse - 55f/10s
Reagan - 53.3333333/10s
Jesse is the fastest
Answer:
I think that Jessie swam the fastest
Step-by-step explanation:
Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!
(sorry Im not the best at math but I hope you can understand my logic lol)
If 500 calories adds 1 pound to your weight how many 1000 calorie banana splits would you need to eat to gain 10 pounds
Answer: 5
Step-by-step explanation:
each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.
500cal = 1 lb.
1000cal = 1 banana split
1 banana split = 2lbs.
to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits
Solve for the variable
X-11 = 8
HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?
fill in the missing number 21-(-17)=21+...
Answer:
the answer of 21-(-17)=21+17=38
can you guys help me?
3. Solve for x. Round to the nearest tenth *
25
16
22
Answer:
51.3 degrees
Step-by-step explanation:
In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?
Answer: 249
Step-by-step explanation: Khan Academy
Answer:
111
Step-by-step explanation:
GOT IT RIGHT!
good at math? PLEASE HELPPPP!!
Answer:
b
Step-by-step explanation:
what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex] (any value raised to the power of zero equals one)
f(0) = [tex]\frac{3}{2}[/tex] · 1
f(0) = 3/2 or 1.5
For every $10,000 a company earns, it gives $500 to charity. How much does the company give to charity for every $1 earned?
Answer:
$0.05 i think
Step-by-step explanation:
SOMEBODY PLEASE TELL ME HHOW TO MAKE FRACTIONS INTO PERCENTS WORTH 20 POINTS
Step-by-step explanation:
Easy steps!
Turn the fraction into a decimal first (or in other words, divide) (For Example: 1/2 = 0.5)Move the decimal point to the right TWO times, and voila (For example: 0.5 = 50%)