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
Pls help me it’s algebra
Answer:
x^2 + 13x + 2
Step-by-step explanation:
The perimeter is all of the sides added up.
11 + 3x + x^2 + 2 -(-6x+5) + 2/5(10x-15)
11 + 3x + x^2 + 2 + 6x -5 + 4x - 6
x^2 + 13x + 2
Basically, we combine like terms and you will get a final answer of:
x^2 + 13x + 2.
This is the simplified expression! I hope this helped.
Can you please answer this and don't just give the answers also explain it how you got them? -Thank you
A square has a perimeter of 80 m. What is the length of each side?
Answer:
20 m
[tex]p = 4a \: thus \: a = p \div 4 = 80 \div 4 = 20 \: m[/tex]
Answer:
20
Step-by-step explanation:
P=4L
80=4L
L=80/4
L=20m
Can someone help me here and check out the other two i have posted there both due soon and i have no clue how to do them
Answer:
Since the question doesn't mention in what tide the answer should be, I will be giving a solution to both, the high and low tide. Hope this helps :)
Step-by-step explanation:
Using a cosine function, where time is measured in hours past high
tide: y=4cos30x + 10
Using a cosine function, where time is measured in hours past low
tide: y = 4cos[30(x-6)]+10
A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the
bucket's volume?
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
h = height = 24 cmr = radius = 5 cmπ = pi ≈ 3.14π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
simplify
please to the end
THIS MIGHT NOT BE RIGHT CAUSE I'M SICK
Evaluate the Expression z(z-7) when z=10
Answer:
30
Step-by-step explanation:
z(z-7)
Let z= 10
10(10-7)
Parentheses first
10 (3)
Multiply
30
Answer:
[tex]\huge\boxed{\sf 30\\}[/tex]
Step-by-step explanation:
= z ( z - 7 )
Put z = 10
= 10 ( 10 - 7 )
= 10 ( 3 )
= 30
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Step by step solution
Answer:
b is correct answer
Step-by-step explanation:
when we write logarithmic terms we change the result from number which is power of 3
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the
sequence?
Answer:
53=-3+14d
56=14d
d=4 that is the common difference
I need some help with math
#1 rewrite this in standard form, then state the center of the circle as an ordered pair and identify the radius. Show your work
y^(2)-14y+x^(2)-4x+37=0
#2 Write the equation of the circle with center (-2,15) and radius 3.
Answer:
[tex](y-7)^2+(x-2)^2=16[/tex]
and
[tex](x+2)^2+(y-15)^2 = 9[/tex]
Step-by-step explanation:
The standard equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where the coordinate (h,k) is the center of the circle.
Second Problem:
We can start with the second problem which uses this info very easily.(h,k) in this problem is (-2,15) simply plug these into the equation. [tex](x--2)^2+(y-15)^2=r^2[/tex] .We can also add the radius 3 and square it so it becomes 9. The equation.This simplifies to [tex](x+2)^2+(y-15)^2 = 9[/tex].First Problem:
The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.[tex]y^2-14y+x^2-4x+37=0[/tex] first subtract 37 from both sides so the equation is now [tex]y^2-14y+x^2-4x=-37[/tex].[tex]y^2-14y+x^2-4x+37=0[/tex] by adding [tex](-\frac{b}{2a} )^2[/tex] to both the x and y portions of this equation you can complete the squares. [tex](-\frac{b}{2a})^2=(-\frac{-14}{2(1)})^2[/tex] and [tex](-\frac{-4}{2(1)})^2[/tex] which equals 49 and 4.Add 49 and 4 to both sides and the equation is now:[tex]y^2-14y+49+x^2-4x+4=-37+49+4[/tex] You can simplify the y and x portions of the equations into the perfect squares or factored form [tex](y-7)^2[/tex] and [tex](x-2)^2[/tex].Finally put the whole thing together. [tex](y-7)^2+(x-2)^2=16[/tex].I hope this helps!
URGENT PLEASE HELP. In the triangles below, DF MN, DG MP, D P. Can you prove that DFG MNP? Explain your answer. (15 points)
Answer:
FDG=NMP
Step-by-step explanation:
You can see below that the bases DG and MP are equal, and one of the saides DF and NM are equal, and D=P, so the triangles are the same, you can also see the triangles are isosceles, so they are the same since NM=FD=FG=NP and FD=NM is shown in the picture
Mary can do a job in 80 minutes, Working with Jané, both can do the job in 30
minutes. How long will it take Jane to do the job alone?
Answer:
see below
Step-by-step explanation:
The equation to determine the work time is
1/a+1/b = 1/c where a and b are the times alone and c is the time together
1/80 + 1/30 = 1/c
Multiply by the least common denominator to clear the fractions, which is 240c
240c(1/80 + 1/30 = 1/c)
3c+8c = 240
11c = 240
Divide by 11
11c/11 =240/11
c = 240/11 minutes
c=21.81818
Approximately 22 minutes
• What is the smallest distance, in meters, needed for an airplane touching the runway with a velocity of 360 km/h and an acceleration of -10 m/s2 to come to rest? HELP
Answer:
i think ..................
Step-by-step explanation:
society idsbwj ja
29. SCUBA DIVING The sign shows the equipment rented or sold by a scuba
diving store.
a. Write two expressions to represent the total sales to rent 2 wet suits,
3 air tanks, 2 dive flags, and selling 5 underwater cameras.
b. What are the total sales?
The total sales to rent the diving items are :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
The total sales to rent the diving items is : $185.95
Given the following rental cost:
Underwater Camera = $18.99
Air tank = $15.50
Wet Suit = $17.25
Dive Flag = $5.00
Expressions to represent the cost of :
2 wet suits, 3 air tanks, 2 dive flags and 5 underwater cameras
Price = price per item × quantity purchased
Expression 1 :
2(17.25) + 3(15.50) + 2(5.00) + 5(18.99)
Similarly, we could group items with the same quantity together :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
Using either of the two expressions above, the total sales can be calculated thus :
2(17.25 + 5.00) + 3(15.50) + 5(18.99)
2(22.25) + 3(15.50) + 5(18.99)
44.50 + 46.50 + 94.95
= $185.95
The expressions for the total sales to rent the diving items are given above with a total sales value of $185.95
Learn more : https://brainly.com/question/24395568
convert the following fraction into decimals 3/8
Answer:
0.375
Step-by-step explanation:
Hope this helps!
Answer:
0.375
Step-by-step explanation:
Dividing:
8)3.000(0.375
24
60
56
40
40
..
Worth 6 points please help!!
Answer:
-9
Step-by-step explanation:
The average rate of change is found by
f(5) - f(2)
------------
5-2
10 - 37
----------
5-2
-27
-----
3
-9
An Olympic diver starts at 7.5 m above the water. During her dive, she goes
1.5
m below the water. What is the vertical distance the diver travels?
Given that an Olympic diver starts at 7.5 m above the water, during her dive, she goes 1.5 m below the water, the vertical distance the diver travels is 9 meters.
To determine what is the vertical distance the diver travels the following calculation must be performed:
The initial height must be subtracted from the final height, in order to obtain the difference between the two heights.
1.5 - (-7.5) = X1.5 + 7.5 = X9 = XTherefore, the vertical distance the diver travels is 9 meters.
Learn more about this topic in https://brainly.com/question/22089868?referrer=searchResults.
The vertical distance traveled by the Olympic diver is 6 m
The given parameters include:
initial position of the Olympic diver, x₁ = 7.5 m above the waterfinal position of the Olympic diver, x₂ = 1.5 m below the waterThe sketch of the Olympic diver's displacement is as follows;
x₁ ---------- 7.5 m
|
|
|
|
----------- water surface
|
↓
x₂ ------------ 1.5 m below water surface
The vertical distance from x₁ to x₂ = 7.5 m - 1.5 m = 6 m
Therefore, the vertical distance traveled by the Olympic diver is 6 m
To learn more about distance visit: https://brainly.in/question/7482539
1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
2.) Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
3.) Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
9514 1404 393
Answer:
x = x+10 = x+1x+1 = x+1Step-by-step explanation:
1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.
If we choose to make our equation ...
x = x +1
Subtracting x from both sides of the equation gives ...
0 = 1
There is no value of the variable that will make this be true.
__
2. Something that reduces to x = c will have one solution. One such equation is ...
0 = x+1
x = -1 . . . . subtract 1 from both sides
__
3. Something that reduces to x = x will have an infinite number of solutions.
One such equation is ...
x+1 = x+1
Subtracting 1 from both sides gives ...
x = x . . . . true for all values of x
Which angles are adjacent to each other?
Angle 8 and Angle 4
Angle 3 and Angle 6
Angle 2 and Angle 7
Angle 4 and Angle 3
Answer:
<4 and <3
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and a common side but do not overlap.
I hope this helps.
Answer:
angles 4 and 3
Step-by-step explanation:
its the right answer
10x2y+40x2−2xy3−8xy2 factories this expression
Answer:
2(10y + 40 -11xy)
Step-by-step explanation:
First, multiply the expression
20y +80 -6xy - 16xy
Then collect like terms
20y + 80- 22xy
And then lastly factories the expression
2( 10y + 40- 11xy )
Hola pordrian ayudarme con esto:
Resuelve las ecuaciones aplicando la fórmula general
a) 2xsobre2-7×+3=0
Hace mucho que ni hacia este tipo de problemas y por eso les pido su ayuda
Answer:
sorry I don't understand can somebody help him??
3/5 of 1 hour is? pls give me the answer
1hr=60min
[tex]\\ \sf\longmapsto \dfrac{3}{5}\;of\;60min[/tex]
[tex]\\ \sf\longmapsto \dfrac{3}{5}\times 60[/tex]
[tex]\\ \sf\longmapsto \dfrac{180}{5}[/tex]
[tex]\\ \sf\longmapsto 36min[/tex]
The graph below shows the solution set of which inequality?
[tex]\Large \boldsymbol{} \pmb {Answer: |x|<6}[/tex]
Step-by-step explanation :
[tex]\displaystyle \Large \boldsymbol{} |x|< 6 =>{ \left \{ {{\!\!\!x< 6} \atop {x> -6}} \right. } => \boxed{x \in (-6 ; 6 )} \ \ right[/tex]
8. Which expression is greatest? Justify your answer.
a. 4 X -5
b. -5 + 4
c. -4- (-5)
Answer:
c
Step-by-step explanation:
i think this is the greatest because if you solve all of the expressions you will find out that this is the greatest.
a.4×-5=-20
b.-5+4=-1
c.-4-(-5)=1
therefore 1 is the greatest so the expression c is the greatest.
I hope this helps
indio, california is located at an elevation that is below sea level. which is a possible elevation for indio, california?pls help besties!!
Answer:
Let me look some things up.
Step-by-step explanation:
Then I will get back to you
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
a = 7.3 in.
b = 13.2 in.
c = 15.8 in.
A = 27.3°, B = 56.1°, C = 96.6°
No triangle satisfies the given conditions.
A = 29.3°, B = 54.1°, C = 96.6°
A = 25.3°, B = 56.1°, C = 98.6°
Answer:
A) A = 27.3°, B = 56.1°, C = 96.6°Step-by-step explanation:
Use the Law of Cosines:
A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3° B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°Correct choice is A.
For what values of the variable does the following expression make sense:
(squareroot) 1+3a/25
Answer:
a ≥ -1/3
Step-by-step explanation:
The square root must be greater than or equal to zero
sqrt(1+3a /25) ≥ 0
Square each side
(1+3a)/25≥ 0
Multiply each side by 25
1+3a≥0
Subtract 1
3a ≥ -1
Divide by 3
a ≥ -1/3
9. An equation representing the height of a burning candle is H = 2(9 - 2t), where
H is the height of the candle in cm and
t is the amount of time that the candle has been burning in minutes.
How long will it take for the candle to burn down to a height of 4 cm?
a. 2 min
b. 3.5 min
C. 5.5 min
d. 7 min
Answer:
H= 4cm
we want t
4=2(9-2t)
2=(9-2t)
-7=-2t
t=3.5 minutes
Suppose the following equation is true:
3^x=81^y
What is the connection between x and y?
Answer:
x=4y
Step-by-step explanation:
3^x=3^4y
x=4y
am I correct?
Help anyone can help me do this question,I will mark brainlest.
Step-by-step explanation:
we first find area of the whole shape outer core which is
we use the fomulae of a circle 22/7 represent pie
=1/2 *22/7*8,5
=13,36
then we find the inner core of the shape which is
1/2*22/7*5,5
=8,64
then we substracte to get the shaded part 13,36-8,64
=4,72cm
Answer:
≈ 16.5 cm²
Step-by-step explanation:
The area of the bar (A) is
(area of outer circle - area of inner circle) ÷ 2
r₂ = 8.5 ÷ 2 = 4.25 , r₁ = 5.5 ÷ 2 = 2.75 , then
A = (πr₂² - πr₁²) ÷ 2
= (π(r₂² - r₁²) ) ÷ 2
= (π(4.25² - 2.75²) ) ÷ 2
= (π(18.0625 - 7.5625) ) ÷ 2
= (10.5π)÷ 2
≈ 16.5 cm² ( to the nearest tenth )
