Complete question is;
The height h, in feet, of a projectile t seconds after launch is modeled by the equation h = 32t – 16t². How long after launch does the projectile return to the ground?
Answer:
2 seconds
Step-by-step explanation:
We are told that the height function is given by;
h = 32t – 16t²
Now, the velocity will be the derivative of the height equation.
Thus;
v(t) = dh/dt = 32 - 32t
Now, for projectiles, at max height, v = 0.
Thus;
32 - 32t = 0
32t = 32
t = 32/32
t = 1 s
It will take the same time it took to get to Max height as it will to get to ground from that height.
Thus, total height = 1 + 1 = 2 seconds
please help asap!!!!
Answer:
y > x+1 (D)
Step-by-step explanation:
this equation forms the same graph as shown in the question
Solve for x
16x^2 + 9 = 5
Answer:
X=-4
Step-by-step explanation:
16x^2+9=5
- 9 -9
16x^2= -4
16/-4 =
-4
Eugene is purchasing clothing to make different outfits. Each outfit consists of a top, a bottom and a pair of shoes. Eugene found 2 pairs of shoes and 4 bottoms he would like to purchase. What is the minimum number of tops Eugene needs to purchase to make at least 35 different outfits? Express your answer as a whole number.
Answer:
70
Step-by-step explanation:
A rectangular swimming pool is 8 ft deep. One side of the pool is 3.5 times longer than the other. The amount of water needed to fill the swimming pool is 2800 cubic feet. Find the dimensions of the pool. The smaller dimension of the pool is enter your response here ft and the larger dimension is enter your response here ft.
Answer:
smaller: 10 ftlarger: 35 ftStep-by-step explanation:
The volume of the pool is given by ...
V = LWH
Here, we have ...
V = 2800 ft³
H = 8 ft
L = 3.5W
Filling in these values, we have ...
2800 ft³ = (3.5W)(W)(8 ft)
100 ft² = W² . . . . . . . . . . . . divide by 28 ft
W = √(100 ft²) = 10 ft
L = 3.5W = 35 ft
The pool is 10 ft by 35 ft.
If you buy three of the ABC bonds with $10 commission for each, how much will it cost? a. $3142.50 b. $1047.50 c. $3172.50 d. $1077.50
The computation shows that the cost of each bond is A. $3142.50.
How to solve the cost?From the complete information given, the price of the bond is given as $2856.80 each.
Therefore, with the commission, the price will be:
= $2856.80 + (10% × $2856.80)
= $2856.80 + $285.68
= $3142.50
In conclusion, the cost of each bond is $3142.50.
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Answer:
it's A
Step-by-step explanation:
maybe
my Christmas present to you
Answer:
Is this a points post or something? If so, thank you!
need help in a math question
Answer:
- [tex]\frac{7}{6}[/tex]
Step-by-step explanation:
I hope this helps
Pls answer this problem
How many real solutions are there to the equation: x + y = 10
don't forget the explanation?
Answer:
An infinite amount
Step-by-step explanation:
The domain and range of the equation [tex]x+y=10[/tex] are both [tex](-\infty, \infty)[/tex] or all real numbers ([tex]\mathbb{R}[/tex]). This means the equation takes on any real value for [tex]x[/tex] and [tex]y[/tex]. Therefore, there are an infinite number of real solutions to the equation.
Conceptually this makes sense. For any number we plug in for [tex]x[/tex], we can change [tex]y[/tex] to make [tex]x+y=10[/tex] true. Since there are an infinite number of numbers, there are an infinite number of values we can plug in for [tex]x[/tex] and [tex]y[/tex].
Help help help math
area of the circle is 12 inches ²
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby eucalyptus tree is 20 feet long. Write and solve a proportion to find the height of the tree.
Answer:
25 feet long
Step-by-step explanation:
this is because the ratio is 4:5
so if one side is 20 then the other side must be in proportion to 4:5
multiply both sides by 5 and u get 20:25
hope that helps
Factor the following.
Answer:
5. x(x+4)
6. 7x(x-3)
7. 12x(x+5)
8. 4x(2x+5)
AB with endpoints A(-2, -3) and B(4,4) is reflected in the line y = x to create its image A'B' Graph A' B' Then find the perimeter of the figure formed by the segments AB
BA' and AA to the nearest tenth
Answer:
Step-by-step explanation:
determining end behavior and intercepts to graph a polynomial function
Answer:
Step-by-step explanation:
(b). ( x , 0 )
Zero where the graph crosses the X-axis: 1
Zero where the graph touches, but does not cross the X-axis: ( - 1 )
(c). ( 0, y )
- ( 0 + 1 )²( 0 - 1 ) = 1
in the expression 3² + 5 · 3 what needs to be done first? exponents addition multiplication
Answer:
If you use the PEMDAS method, you can see that exponents should be done first.
Step-by-step explanation:
PLEASE HELP 60 POINTS
if l || m, find the value of x
Answer:
x = 15
Step-by-step explanation:
84 = 5x + 9
Subtract 9
75 = 5x
Divide by 5
x = 15
Answer:
x = 15
Step-by-step explanation:
5x + 9 and 84 are alternate angles and are congruent , so
5x + 9 = 84 ( subtract 9 from both sides )
5x = 75 ( divide both sides by 5 )
x = 15
Simplify the complex number.
(8i) (5) (-4-6i)
Answer:
4th option
Step-by-step explanation:
noting that i² = - 1
(8i)(5i)(- 4 - 6i)
= 40i²(- 4 - 6i)
= 40(- 1)(- 4 - 6i)
= - 40(- 4 - 6i) ← distribute parenthesis by - 40
= 160 + 240i
[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]
what is 44÷33= please for answer
Step-by-step explanation:
44 ÷ 33
= 1.333333333..........
Hope it's helpful.
Solve the simultaneous equations
4 x + y = 17
3 x + y = 15
Part A: Find the LCM of 5 and 12. Show your work. (3 points)
Part B: Find the GCF of 72 and 81. Show your work. (3 points)
Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two factors. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Answer:
Part A: 60
5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.
12, 24, 36, 48, 60.
---------------------------------
Part B: 9
81 / 72 = 9
----------------------------------
Part C: 9 (8 + 9)
---------------------------------
GCF of 72 and 81 is 9...
Divide 72 by 9 and get 8.
Divide 81 by 9 and get 9.
To check multiply 9 with 8, and multiply 9 by 9.
Does ANYONE Know How To Solve THIs…Brainliest Will be awarded!!!
Answer:
w = 8x = 8√2y = 8√2z = 16Step-by-step explanation:
A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.
w = 8 . . . . . . . . . . . same as the leg length shown
x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same
z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle
simplest form of 3/4+1/12
Answer:
5/6
Step-by-step explanation:
The following angles are
Supplemnetary
Linear Pair
Adjacent
Vertical Angles
[tex]\huge \bf༆ Answer ༄[/tex]
The shown pair of Angles are known as Adjacent Angles, because they have one Arm in common.
Please help it’s a test and it is past due!!! NO LINKS please!!!!
Use the substitution method to solve the system of equation!!! Choose the correct ordered pair!?!? Use the picture below to help you!!
Answer:
The answer is C. (-2, 7)
Good luck :)
What is the square root of 12a^3b^5 times the square root of 6ab^2?
Step-by-step explanation:
sqrt(12×a³b⁵) × sqrt(6×ab²)
the content of multiplied square roots can be combined into one square root :
sqrt(12×6×a³×a×b⁵×b²) = sqrt( 72a⁴b⁷) =
= sqrt(4×9×2 × a⁴ ×b⁶×b) = 2×3×a²×b³×sqrt(2b) =
= 6a²b³×sqrt(2b)
Billy likes to go cycling.
His bike has wheels of diameter 80 cm.
He has a counter on his bike which
counts the number of revolutions
the wheels make.
One day the counter shows 350 revolutions.
How far has Billy cycled?
Give your answer to the nearest metre.
Answer:
560 metres
Step-by-step explanation:
80 cm in metres is 0.8 metres.
After 1 revolution any point on the wheel will be back to the original position before moving. 0.8 times 2, which gives us 1.6 metres. In 1 revolution the bike travels 1.6 metres.
Now 1.6 metres times 350 gives us 560.
So the answer is 560 metres.
as a Given the function f(x) = - 3x + 2 then what is - 2f * (x) as a simplified polynomial ?
Answer: 6x - 4
Step-by-step explanation: -2*f(x) = -2 * (-3x+2) = (-2*-3x) + (-2*2) = 6x + (-4) = 6x - 4
What is the range of y=3sin(x)?
Answer:
The range is -3≤y≤3 - 3≤y≤3.
Step-by-step explanation:
I hope this helps! :)
Jarrod earns $12 an hour at his job. The table shows what Dale earns at his job. Which statement is true?
Answer:
Need the table, and the statements
Step-by-step explanation:
A polygon with area 10 square units is dilated by a scale factor of k. Find the area of the image for each value of k.
a k=4
square units
b. k=1.5
square units
ck=1
square units
Answer:
a = 160 square units
Step-by-step explanation:
The areas of the image are 160, 22.5 and 10 square units
The area of the polygon is given as:
A =10 square unit
The area of the image of the polygon is calculated as:
[tex]A_k = A * k^2[/tex]
When k = 4, we have:
[tex]A_4 = 10 * 4^2[/tex]
[tex]A_4 = 160[/tex]
When k = 1.5, we have:
[tex]A_{1.5} = 10 * 1.5^2[/tex]
[tex]A_{1.5} = 22.5[/tex]
When k = 1, we have:
[tex]A_{1} = 10 * 1^2[/tex]
[tex]A_{1} =10[/tex]
Hence, the areas of the image are 160, 22.5 and 10 square units
Read more about dilation at:
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