Answers
Answer: Approximately 0.78388 seconds
==========================================
Explanation:
Plug in t = 0 to find that
h = -16t^2 - 64t + 60
h = -16(0)^2 - 64(0) + 60
h = 60
The starting height is 60 feet.
-----
Now plug in h = 0 and solve for t.
h = -16t^2 - 64t + 60
0 = -16t^2 - 64t + 60
-16t^2 - 64t + 60 = 0
From here use the quadratic formula
[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-(-64)\pm\sqrt{(-64)^2-4(-16)(60)}}{2(-16)}\\\\t = \frac{64\pm\sqrt{7936}}{-32}\\\\t = \frac{64+\sqrt{7936}}{-32} \ \text{ or } \ t = \frac{64-\sqrt{7936}}{-32}\\\\t \approx -4.78388 \ \text{ or } \ t \approx 0.78388 \\\\[/tex]
We ignore the negative t value as a negative time doesn't make sense.
The only practical answer is roughly t = 0.78388 seconds.
Related Questions
Please help me
I need to submit it now!!
Answers
Answer:
Alicia is correct because....
Step-by-step explanation:
12 - 4 = 8 + 3 = 11
Simplify the radical /1829.
Answers
Answer:
Step-by-step explanation:
if there are 91 seats in 7 rows how many seats are in 4 rows
Answers
Answer:
It would be 52
Step-by-step explanation:
You divide 91 by 7 and u get 13 so u multiply that by 4 and u get your answer
There are 7 fewer cups than plates. There are 4 cups. How many plates are there?
Answers
Answer:
-3 plates
Step-by-step explanation:
Subtract 7 - 4 = 3. Since there are 7 FEWER plates then you add a negative sign in front of it.
how do you write five and nine tenths in standard form?
Answers
Answer:
5.9
Step-by-step explanation:
Answer:
5 9/10
Step-by-step explanation:
this is how you would write it in standard form
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of great oaks trail is 4.5 cm on this map. The scale from the same park to a different map is 24 mi to 3 cm. The length of salamander trail is 3.5 cm on that map. Which is the longer trail, great oaks trail or salamander trail?
Answers
Answer:
Salamander trail is longer than great oaks trail.
Step-by-step explanation:
We have the data from two different maps of the same park.
In the first map the length of great oaks trail is 4.5 cm
The scale from the park to the map is 36 mi to 6 cm ⇒
We can find the real length of great oaks trail writing the following equivalence :
[tex]\frac{36mi}{6cm}=\frac{x}{4.5cm}[/tex]
Where x is the real length of great oaks trail ⇒
[tex]x=\frac{(36mi).(4.5cm)}{6cm}=27mi[/tex]
We find that the real length of great oaks trail is 27 mi
In the second map the length of salamander trail is 3.5 cm
The scale from the park in the second map is 24 mi to 3 cm.
Again we can find the real length of salamander trail writing the equivalence :
[tex]\frac{24mi}{3cm}=\frac{y}{3.5cm}[/tex]
Where y is the real length of salamander trail ⇒
[tex]y=\frac{(24mi).(3.5cm)}{3cm}=28mi[/tex]
We find that the real length of salamander trail is 28 mi.
Therefore salamander trail is longer than great oaks trail.
solve the equation X³+2X²-5X -6
Answers
Answer: x = {-1, -3, 2}
Step-by-step explanation:
x³ + 2x² - 5x - 6 = 0
Use the rational root theorem to find the possible roots: ±1, ±2, ±3, ±6
Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).
I will use Synthetic division. Let's try x = 1
1 | 1 2 -5 -6
| ↓ 1 3 -2
1 3 -2 -8 ← remainder ≠ 0 so x = 1 is NOT a root
Let's try x = -1
- 1 | 1 2 -5 -6
| ↓ -1 -1 6
1 1 -6 0 ← remainder = 0 so x = -1 is a root!
The coefficients of the reduced polynomial are: 1, 1, -6 --> x² + x - 6
Factor: x² + x - 6
(x + 3)(x - 2)
Set those factors equal to zero to solve for x:
x + 3 = 0 --> x = -3
x - 2 = 0 --> x = 2
Using Synthetic Division and Factoring the reduced polynomial, we found
x = -1, -3, and 2
Solve the following equation for the unknown quantity: 12x-8=3x+10. a. x=4 b. =2 c =12 d. x=1/2
Answers
Answer:
b. x=2
Step-by-step explanation:
Step 1- Move the variable to one side.
12x-8= 3x+10
-3x -3x
9x-8= 10
Step 2- Add 8 to both sides.
9x-8= 10
+8 +8
9x= 18
Step 3- Divide to both sides.
9x= 18
9 9
x= 2
Will give 100 points.
Answers
Answer:
Ф = 66.2°
Step-by-step explanation:
The formula for work as
W = Fd cos(Ф)
cos(Ф) = W / Fd
Ф = cos^(-1)〖W/Fd
Ф = cos^(-1)〖110/33(8.25) 〗
Ф = 66.2°
Answer:
Ф = 66.2°
Step-by-step explanation:
Lina rolled a die.
What is the probability that she got 3?
Answers
Answer:
1/6
Step-by-step explanation:
So asuming that she didn't roll a biased die the probability of getting a three is 1/6
This is because the total outcomes are 6 and there is only one three thus the probability that she got 3 is 1/6.
HOPE THIS HELPED
Twenty-two increased by six times a number is 28. whats the number
Answers
Answer:
1.27
Step-by-step explanation:
which expression is the simplest form of 5(x-3)-3(2x+4)/9?
Answers
Answer:
-x - 27/ 9 this is it djdjdj
The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression
[tex]\frac{5(x-3)-3(2x+4)}{9}[/tex]
⇒ (5x - 15 - 6x - 12) ÷ 9
⇒ (-x - 27)/9
⇒ [tex]\frac{-x-27}{9}[/tex]
Hence "The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .
To learn more about expression,
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Someone help me on thissss
Answers
20.
19. passes through (-2, 19), parallel to the x-axis
Answers
Answer:
yah
Step-by-step explanation:
Which equation represents the data shown in the table below? x y 2 9 3 12 4 15 5 18 A. y = 2x + 9 B. y = 3x + 3 C. y = 3x + 12 D. y = 4x + 1
Answers
Answer:
Step-by-step explanation:
The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
The data best fit the line y = 3x+3, the correct option is B.
What is an Equation?The equation is a statement that equates two algebraic expressions with an equal sign.
The data is given
x y
2 9
3 12
4 15
5 18
The equation that represents the data can be found by substituting the data and checking if they satisfy the equation.
The first equation is
y = 2x +9
Substitute ( 2,9)
9 = 2 *2 +9
9 ≠ 13
The second equation is
y = 3x +3
Substitute ( 2,9)
y = 3 *2 +3
9 = 9
Substitute ( 3,12)
12 = 3 *3 +3
12 = 12
Therefore, the data best fit the line y = 3x+3, the correct option is B.
To know more about Equation
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please help i have been doing homework for ages
Answers
Answer:
Give the full question
Using 2 shapes, how many 5-place patterns can be made
Answers
Answer:
Step-by-step explanation:
3
For Jack's lemonade recipe, 12 lemons are required to make 18 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
Answers
How to do an equation like this step by step? 4.5 (8 - x) + 36 = 100 - 2.5 (3x + 24)
Answers
Answer:
x = -10.6667
Step-by-step explanation:
Solve for x:
4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)
4.5 (8 - x) = 36 - 4.5 x:
36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)
Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:
(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)
36 + 36 = 72:
72 - 4.5 x = 100 - 2.5 (3 x + 24)
-2.5 (3 x + 24) = -7.5 x - 60:
72 - 4.5 x = -7.5 x - 60 + 100
Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:
72 - 4.5 x = (100 - 60) - 7.5 x
100 - 60 = 40:
72 - 4.5 x = 40 - 7.5 x
Add 7.5 x to both sides:
7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40
7.5 x - 7.5 x = 0:
7.5 x - 4.5 x + 72 = 40
Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:
(-4.5 x + 7.5 x) + 72 = 40
7.5 x - 4.5 x = 3 x:
3 x + 72 = 40
Subtract 72 from both sides:
3 x + (72 - 72) = 40 - 72
72 - 72 = 0:
3 x = 40 - 72
40 - 72 = -32:
3 x = -32
Divide both sides of 3 x = -32 by 3:
(3 x)/3 = (-32)/3
3/3 = 1:
x = (-32)/3
(-32)/3 = -10.6667:
Answer: x = -10.6667
What is the sum of the first 10 even multiples of 8?
Answers
all of those numbers add up to the sum of 440
440 is ur answer :)
How to be good at ratios
Answers
Answer:to be good at ratios you must simply look at the numbers and count them in the order that the question asks for
Step-by-step explanation:example 4:2 :::: ;; there are 4 : and 2 ;
Barbara's Catering Company makes the best fruit salad despite using only four ingredients. They use four apples for every mango, two pears for every apples, and one pineapple for every mango. If they use 8 pineapple in their most recent batch, how many recent batch l, how many total pieces of fruit did they use?
Answers
Answer:
2
Step-by-step explanation:
Suri solved the equation x^2=49 and found that x = 7. What error did Suri make? 15 points to answer
Answers
he was at the end of the day with u and I 6so was a little bit of a joke but I 6
Step-by-step explanation:
just like that I don't think you know that I have to do that again 261and but it 1was 1is 1and 1is 1and is not 774a
Find all values of k such that the graph of the inequality (x-2)(x-5)(x-k) >= 0 consists of a single interval on the number line.
Answers
(x - 2)(x - 5)(x - k) >= 0
Let's set each term equal to 0
x - 2= 0
Add 2 to both sides
x = 2.
x - 5 = 0
Add 5 to both sides
x = 5
x - k = 0
Add k to both sides
x = k
Since x = 2 and 5, k = 2, 5
Let's plug our numbers into the inequality.
(2 - 2)(2 - 5)(2 - 2) >= 0
(0)(-3)(0) >= 0
0>=0
(5 - 2)(5 - 5)(5 - 5) >= 0
(3)(0)(0) >= 0
0 >= 0
This proves that 2 and 5 are equal to k
compare these numbers
Answers
Answer:
[tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]
Step-by-step explanation:
√11 is about 3.32.
Smallest-to-largest, the numbers are ...
[tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]
after measurements or observation are made in a scientific investigation. it is most appropriate to what?
Answers
Answer:
Once you collect your measurements, the next step would be to analyze them to see if they support your hypothesis or not.
If you find your predictions to be inaccurate and your hypothesis was not supported, go back, make another hypothesis and redo the experiment.
The door was 6ft 7 inches high. How many inches is that?
What the answer
Answers
Answer:
79 inches is how tall the door is
Step-by-step explanation:
Explanation
6x12 = 72 + 7 =79
x + 4 = 13 simple equations
Answers
Answer:
9
Step-by-step explanation:
13-4=9
9+4=13
Hey there!☺
[tex]Answer:\boxed{x=9}[/tex]
[tex]Explanation:[/tex]
[tex]x+4=13[/tex]
To find x, subtract 13 by 4.
[tex]13-4=9[/tex]
Let's try substituting 9 for x to see if we get 13.
[tex]x+4=13\\9+4=13[/tex]
[tex]x=9[/tex]
Hope this helps!
What is 6x^3 - z ?
x= -8
and
z= 9
FYI the 3 is an exponent on 6x
Answers
Answer:
-110601
Step-by-step explanation:
All you have to do is replace the variables with their value. So the equation would look like this,
6(-8)³ - 9
Always solve the parenthesis first ending up with
-48³ - 9
Now the exponents,
-110592 -9
Here we just subtracting getting the answer of...
-110601
Hope that helps and have a great day!
Which is the length of a student's textbook?
-30 millimeters
-30 centimeters
-30 decimeters
-30 hecometers