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
find the inverse function of g(x) = sqrt x-7
Answers
.......
The inverse of g(x) is x² + 7
What is a function?The function is defined as a mathematical expression that defines a relationship between one variable and another variable.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.
We have to find the inverse of the function below :
g(x) = √(x-7)
So after switching x and y,
g(x) = y = √(x - 7)
becomes
x = √(y - 7)
Now, we solve for y regularly.
g(x) = y = √(x - 7)
Solve for y :
⇒ y² = x - 7
⇒ x² = y - 7
⇒ y = x² + 7
Therefore the inverse of g(x) is x² + 7
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Plz help asap In 4 years, Harry’s age will be the same as Jim’s age is now. In 2 years, Jim will be twice as old as Harry will be. Find their ages now.
Answers
Answer:
Harry is 2, Jim is 6
Step-by-step explanation:
The first statement tells us they are 4 years part. Then you need to find two numbers that are 4 apart and that has one that is half the other, like 4 and 8. Finally, subtract two because this will happen in two years and you need their ages now.
Sorry if this was confusing.
At 6 am, the temperature was 73 degrees Fahrenheit. By noon, then temperature had rose 8 degrees. At 4 pm, the temperature was 5 degrees warmer than it was at noon. By 9 pm, the temperature had dropped 16 degrees. What was the temperature at 9 pm?
Answers
Answer:
70 degrees Fahrenheit
Answer:
70
Step-by-step explanation:
We started at 73 degrees and the temperature rose by 8 degrees so 73 + 8 = 81. At 4 pm, the temperature rose again by 5 degrees so 81 + 5 = 86. By 9 pm, the temperature dropped 16 degrees so 86 - 16 = 70, Therefore, the temperature at 9 pm was 70 degrees.
Solve the inequality and graph the solution set for 2(3r − 10) ≤ 3r − 5
Answers
Answer:
r≤5
Step-by-step explanation:
Steps are in the photo. Hope this helps.
Which operation should you perform last in the expression 12 × 4^2?
Answers
Answer:
Multiplication
Step-by-step explanation:
Follow GEMDAS or PEMDAS. I would recommend GEMDAS. GEMDAS stands for Grouping symbols, exponents, multiply, divide, addition, subtraction. GO form the order G to S
Find the indicated values, where gt) = 12 - and Ax) = 1 + X.
g(f(2) + 3)
a. 1
b. 3
c. 30
d. -1
Please select the best answer from the choices provided
ΟΑ
B
OD
Answers
Answer:
c
Step-by-step explanation:
the sum of 12 and the quantity 8 times a number k is equal to 48
Answers
Answer:
12 + (8k) = 48
k= 9/2
Step-by-step explanation:
The screenshot is the question.
Answers
Answer:
23
Step-by-step explanation:
∠ABE=∠BEF=4x (AC║EF)
∠DBE=5x
∠DBF=180=∠DBE+EBF=5x+65
5x=180-65
x=23
Given: Lines a and b are parallel and line c is a transversal. Prove: 2 is supplementary to 8 What is the missing reason in the proof? Statement Reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Answers
Answer:
vertical angles theorem
Step-by-step explanation:
Just took the test
Answer:
A. corresponding angles theorem
Step-by-step explanation:
100 POINTS!! ASAP - Pls Show all WORK
Answers
Answer:
x ≈ 28.7 ft
Step-by-step explanation:
Step 1: Define variables
Height (vertical leg of triangle) = 2 ft
∅ = 4°
We are trying to find the length of the hypotenuse x
Step 2: Use trig
sin∅ = opposite over hypotenuse
sin4° = 2/x
Step 3: Solve for x
xsin4° = 2
x = 2/sin4°
x = 28.6712
x ≈ 28.7 ft
Answer:
the Length of ramp is 28.7 feet.
Step-by-step explanation:
see attached image for clarity
give:
height (h) of clinic = 2 feet
angle of ramp = 4°
find:
Length (L) of ramp
using the formula : sin(Ф) = height (h)
Length of ramp (hypothenuse)
plugin values into the formula:
sin (4) = 2
L
L = 2
sin(4)
L = 28.7 feet
therefore,
the Length of ramp is 28.7 feet.
HELP I HAVE TO SUBMIT IN 1 HOUR
Answers
Answer:
Step-by-step explanation:
Volume = Base * height
V=2(7 1/3)
V=44/3 OR 14 2/3 Or 14.666
Solve:||x-3|-2|≤1
Please show work!
Thanks
Answers
Answer:
Step-by-step explanation:
Hello,
We know that
[tex]|x|=\begin{cases}x & \text{if } x\geq 0 \\ -x & \text{if } x<0 \end{cases}[/tex]
So we need to take into account two cases
Case 1 - [tex]x-3\geq 0<=> x\geq 3[/tex]
Then, |x-3|=x-3
||x-3|-2|=|x-3-2|=|x-5|
Either x-5 is positive and then |x-5|=x-5 and
[tex]|x-5|\leq 1<=>x-5\leq 1<=>x\leq 6[/tex]
Or x-5 is negative and then, |x-5|=-x+5
[tex]|x-5|\leq 1<=>-x+5\leq 1<=>4\leq x[/tex]
So the solution is [4;6]
Case 2 - [tex]x-3< 0<=> x< 3[/tex]
Then, |x-3|=-x+3
||x-3|-2|=|-x+3-2|=|-x+1|
Either -x+1 is positive and then |-x+1|=-x+1 and
[tex]|-x+1|\leq 1<=>-x+1\leq 1<=>0\leq x[/tex]
Or -x+1 is negative and then, |-x+1|=x-1
[tex]|-x+1|\leq 1<=>x-1\leq 1<=>x\leq 2[/tex]
So the solution is [0;2]
Conclusion
The solution is [0;2]∪[4;6]
Thanks
please help me and also show work plz
Answers
Answer:
[tex]\boxed{k = -6}[/tex]
Step-by-step explanation:
[tex]13 +\frac{k}{3} =11[/tex]
→ Multiply everything by 3
[tex]39 + k = 33[/tex]
→ Minus 39 from both sides to isolate k
[tex]k = -6[/tex]
Find
-/16. (4 points)
a
-4
ob
4
Ос
+4
Od
-8
Answers
Answer:
4i
Step-by-step explanation:
I hope its not too complicated
[tex]\sqrt{-16} \\\\\mathrm{Apply\:radical\:rule}:\quad \sqrt{-a}=\sqrt{-1}\sqrt{a}\\\\\sqrt{-16}=\sqrt{-1}\sqrt{16}\\\\\mathrm{Apply\:imaginary\:number\:rule}:\quad \sqrt{-1}=i\\\\=\sqrt{16}i\\\\\sqrt{16}=4\\\\=4i[/tex]
Which angles could you add to 1 to make a supplementary angle. Please helppp
Answers
60°+120°
50°+130°
There are many more, supplementary angle = 180° so it can work for many more. Hope this helps :)
Help please, will mark you as brainliest!!
Need help on both..
Answers
Answer:
the answer is c for the second one and the first one is A
Find the dimensions of a rectangle whose width is 8 miles less than its length and whose area is 105 square miles
Answers
Area of a rectangle = w*l
w = width
l = length
In our problem,
Area = 105mi^2
l = x
w = x - 8
Let's plug our values into the formula above.
105mi^2 = x(x - 8)
Distribute the x
105mi^2 = x^2 - 8x
Subtract 105mi^2 from both sides.
0 = x^2 - 8x - 105
Let's factor the right side.
0 = (x - 15)(x + 7)
Set both terms equal to 0
x - 15 = 0
Add 15 to both sides.
x = 15
x + 7 = 0
Subtract 7 from both sides.
x = -7
Since the length cant be a negative number, 15 is the correct answer.
Length = x = 15 mi
Width = x - 8 = 15 - 8 = 7 mi
The length of the rectangle is 15 miles while the width is 7 miles.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
The perimeter of rectangle = 2( length + width).
Suppose the length is L while the width is W.
Area of rectangle = length × width.
L x W = 105
W = L - 8
By substitution,
L x (L - 8) = 105
L² - 8L - 105 = 0
L² - 15L + 7L - 105 = 0
L(L - 15) + 7(L - 15) = 0
(L + 7)(L - 15) = 0
L = -7, L = 15
Since length will not be negative thus L = 15 miles.
W = 15 - 8 = 7 miles
Hence "The length of the rectangle is 15 miles while the width is 7 miles."
For more about rectangles,
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Which term of the AP : 8, 13, 18, 23, 28, ... is 6 times the 7 th term?
(2) 15th
(1) 35th
(3) 25th
(4) 45th
Answers
Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of the longest side is unknown. What is the smallest possible whole-number length of the unknown side?
Answers
Answer:
17 inches.
Step-by-step explanation:
Answer:
answer is 17 inches
Step-by-step explanation:
x2 can be combined with X?
Answers
Answer:
Your first instinct might be to go ahead and add the x terms together, BUT this would be a bad thing to do! You cannot combine the x2 and 2x, because the first term has an exponent (2) and the second one does not have an exponent; therefore, you cannot add them together!
Step-by-step explanation:
Answer:
Not sure if you mean multiplying or adding by "combine". But generally the rule of thumb with exponents is when you are adding and they are not like terms, you cannot combine the two terms together. So in other words, they would be left as x²+x. However, when you are multiplying you can add the exponents together. So, it will be like this: x²·x = x³
kx-fy=cx+p for x ????????????
Answers
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=[tex]\frac{p + fy}{K - c}[/tex]
How do we Round with any numbers, (on a number line) ?
Answers
Answer:
round it to the nearest 10th?
Step-by-step explanation:
that's what I do at least.
Answer: Round up or down.
Step-by-step explanation: When you round up, look at the number to the right of the number you wanna round. If it’s less than 5, you round down, if it’s more than 5, you round up. On a number line, for ex. Let’s say you wanna round 550 to hundreds, 600 or 500, 600 would be the answer because 550 is more closer to 600 by default.
Ms. D bought 18 bagels for $1.35 each and 2 containers of cream cheese for $3.45 each. Write and evaluate ONE expression to find the total cost of the food.
Answers
Answer:
(18+2)x($1.35+$3.45)= $96
Could I please have BRAINLIEST.
60 point question!...........
Answers
Answer:
dhsfhb
Step-by-step explanation:
top secret
Answer:
Have a good day, dont see a picture?
Step-by-step explanation:
Which THREE storage devices are non-volatile? Non-volatile devices can store data regardless of whether they are powered on or not.
thumb drive
RAM
hard disk
ROM
Answers
Answer: Thumb drive, ROM, Hard-disk
Step-by-step explanation:
A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
A. -28.47° latitude and 7.35° longitude
B. -28.47° latitude and -7.35° longitude
C. 28.47° latitude and -7.35° longitude
D. 38.34° latitude and 220.95° longitude
E. -38.34° latitude and 220.95° longitude
Answers
Answer:
I think the answer is A
Step-by-step explanation:
Because you add both latitude (22.27+ -6.20) = -28.47 because a negative plus a positive equals a a negative then you add the longitude (114.15 -106.80) = 7.35 so the answer would be
-28.47 latitude and 7.35 longitude.
the answer would be C.)28.47 lat -7.35 long
help!
what is the answer to this problem?
Answers
Answer:
D
Step-by-step explanation:
Because 12 is greater than -5 and when you divide a postive and a negative you get a negative number. And negative numbers are less than 0 .
4|m−n| if m=−7 and n=2 i really need to know what this is asap please
Answers
Answer:
36
Step-by-step explanation:
Plug in -7 as m and 2 as n into the expression:
4 | m - n |
4 | -7 -2 |
Solve:
4 | -9 |
4(9)
= 36
What is 300 million divided by 1 thousand?
Answers
Answer:
the answer is three hundred thousand
Write the expression as a square of a monomial. 4/9b^6
Answers
Answer:
Step-by-step explanation:
It just so happens that all the numbers and variables in that expression are perfect squares. 4 has a square root of 2; 9 has a square root of 3; and b^6 has a square root of b^3. Putting that altogether into one simplified expression that we can square is:
[tex](\frac{2}{3}b^3)^2[/tex]
The expression as a square of a monomial (4/9b⁶) is (2²/3²b³)²
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
A monomial is a polynomial that has only one term.
Given, a monomial (4/9b⁶).
To write this monomial in terms of as a square of a monomial we'll factor out the power of 2 from each f the constants and variables contained in the monomial which is,
= (2²/3²b³)²
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