Answer:
A.) 24.08 seconds
B.) 825.42 metres
Step-by-step explanation:
function of time is given as
h ( t ) = − 4.9 t 2 + 118 t + 115 .
Where a = -4.9, b = 118, c = 115
Let's assume that the trajectory of the rocket is a perfect parabola.
The time t the rocket will reach its maximum height will be at the symmetry of the parabola.
t = -b/2a
Substitute b and a into the formula
t = -118/-2(4.9)
t = 118/9.8
t = 12.041 seconds
Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.
2t = 2 × 12.041 = 24.08 seconds
Therefore, the rocket splashes down after 24.08 seconds.
B.) At maximum height, time t = 12.041s
Substitute t for 12.041 in the function
h ( t ) = − 4.9 t 2 + 118 t + 115
h(t) = -4.9(12.041)^2 + 118(12.041) + 115
h(t) = -4.9(144.98) + 118(12.041) + 115
h(t) = -710.402 + 1420.82 + 115
h(t) = 825.42 metres
Therefore, the rocket get to the peak at 825.42 metres
Reply back please! Scientific Notation
Answer:
Sorry didnt realize it didnt post
2.) 1.16 x 10^-1
4.) 9.006 x 10^-9
6.) 3.68 x 10^3
8.) 6.92810457 × 10^-3
Step-by-step explanation:
You have budgeted $3,200 per month for your total expenses. The cost of rent per month is $1,300 and the cost of food is $350. To stay within your budget, all other costs C must be no more than what amount (in $)?
Answer:
All other costs must be $1,550 or less
Step-by-step explanation:
1300+350=1650
3200-1650=1550
Using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
What exactly are mathematical operations?An operation is a mathematical function that transforms zero or more discrete input values into discrete output values. The complexity of the operation depends on how many operands there are. The rules that specify the order in which specific operations should be carried out in order to solve an expression are referred to as the order of operations. Parentheses, exponents, multiplication, division (from left to right), addition, and subtraction are the order of operations. (Left to Right) PEMDAS (from left to right).So, cost C must be no more than:
The budget is $3200.The cost of rent and food is $1300 and $350.Then, the remaining money will be:
3200 - (1300 + 350)3200 - 1,650$1,550Therefore, using some mathematical operations, we know that to stay within the budget, the other cost will not be more than $1,550.
Know more about mathematical operations here:
https://brainly.com/question/28937794
#SPJ2
Is 8.168 a rational number?
Answer:
yes
Step-by-step explanation:
M little sister needs help with a geometry problem
Answer:
Segment bisector = KL
IJ = 11⅓
Step-by-step explanation:
Segment KL cuts segment IJ into two equal parts. Therefore the segment bisector of IJ is said to be segment KL.
Length of IJ:
From the figure given, the bisector divided the IJ into two equal parts. 1 part is given as 5⅔, therefore, the 2 parts joined together will give us lenght of IJ.
Thus, IJ = 2*5⅔ = 2 * 17/3 = 34/3 = 11⅓
Segment bisector = KL
IJ = 11⅓
To qualify for a gold status at awesome airlines one must fly less than 35200 but at least 17600 miles each year if Casey takes a 800 miles round trip flight when visiting his parents how many times does Casey need to visit his parents each year to attain gold status
what is 70-30+12 then divided by 20
Answer:
2.6
Step-by-step explanation:
First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6
Answer:
Step-by-step explanation:
40.6 hope it helps
I really need help with this question
$518.5 = $375 + $41x
Now that we have our equation, let's solve for the # of hours
Subtract $375 from both sides
$143.5 = $41x
Divide both sides by $41
3.5 = x
The number of labor hours was 3.5
Use the tables above to compose the following functions.
A: f(g(2))
B: f(g(5))
C: g(f(-1))
D: g(f(5))
Answer:
A. 1
B. 2
C. 2
D. 0
Hope it helps :-)
what is y to the 2 power = 81
Answer:9
Step-by-step explanation:
2.
Josh worked 480 hours in 12 weeks. How many hours does he work in one week if he works the
same hours each week.
Solve for g.
4(g - 17) = 12
g=
Answer:
[tex]g=20[/tex]
Step-by-step explanation:
[tex]4\left(g-17\right)=12[/tex]
Divide both sides by 4:
[tex]\frac{4\left(g-17\right)}{4}=\frac{12}{4}[/tex]
[tex]g-17=3[/tex]
Add 17 to both sides:
[tex]g-17+17=3+17[/tex]
[tex]g=20[/tex]
Answer: g=0 or g=20 i hope this helped
Point M is the midpoint of segment AB.
AM=3x+40 and MB=x^2. Find x and AB
[tex]\text{Hello there! :)}[/tex]
[tex]x = 8\\\\AB = 128 \text{ units}[/tex]
-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-
[tex]\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\[/tex]
[tex]\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\[/tex]
[tex]\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40[/tex]
[tex]\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8[/tex]
[tex]\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8[/tex]
[tex]\text{Substitute in this value of x into either AM or MB to solve for AB:}[/tex]
[tex]AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}[/tex]
Find the derivative of the function. g(x) = ∫5 x 4 x u2 − 1u2 +1 dug'(x) = g
Answer:
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
Step-by-step explanation:
The question can be better structured and represented as :
[tex]g(x) = \int ^{5x}_{4x} \dfrac{u^2-1}{u^2+1} \ du[/tex]
now the derivative of the function of g(x) is g'(x) which is equal to:
[tex]g'(x) = \dfrac{(5x)^2-1}{(5x)^2 +1 }\dfrac{d}{dx}(5x) - \dfrac{(4x)^2-1}{(4x)^2 +1 }\dfrac{d}{dx}(4x)[/tex]
[tex]\mathbf{g'(x) = 5 \times \dfrac{(25x^2-1)}{(25x^2+1)}- 4 \times \dfrac{(16x^2-1)}{(16x^2+1)}}[/tex]
Plz answer me will mark as brainliest and will be reported if wrong answer
Answer:
1,2,3,6,and 9
Step-by-step explanation:
18=1×18
=2×9
=3×6
=1,2,3,6and9
How do I isolate R?
S = (HR(Wi - Wn)) / 1000.
First, multiply both sides by 1000.
1000S = HR(Wi - Wn)
Divide bot sides by H(Wi - Wn)
(1000S) / H(Wi - Wn) = R
y+z+ 2; use y=-6, and z = 5
Answer:
1
Step-by-step explanation:
y + z + 2
first you have to replace the variables with the numbers
This is your equation now.
-6 + 5 + 2
Now you just have to solve it.
-6 + 5 = -1 + 2 = 1
or
7 - 6 = 1
-9 - 5 "add my positive add my negative"
Answer:
-14
Step-by-step explanation:
The answer is -14 because:
1) First, we need to know that:
negative x negative = positive
negative x positive = negative
positive x negative = negative
positive x positive = positive
2) -9 - 5 is negative times negative which makes it 9 + 5 = 14
3) Since the number with the negative sign is greater, the answer is -14
Hope this helps!
1/2 + .50 + 1/5 help ):
Answer:
the answer is 1.2 or 1 1/5
Step-by-step explanation:
Answer:
.50 = 1/2 so its 1/2 plus 1/2 plus 1/5 which you turn 1/5 and 1/2 in ten and it now 5/10 plus 5/10 plus 2/10 with equals 1 and 2/10 or otherwise 1 and 1/5
Step-by-step explanation:
Please solve this. It is confusing for me
Cricket match Australia v England begins 10:00 UK time. Australian time is 11 hours ahead of UK time. What time will the game start in Australia (24 hr clock)
Answer:
Step-by-step explanation:
21:00 i believe
Find the interest
earned:
$ 15,500 for 7.5 years
at 4.9% annual
compound interest
Answer:
In 7.5 years, you will have $21,665.07 - $15,000 = $6,665.07 Interest
Step-by-step explanation:
5n +5y+5n+6a+2d
Can You intelligent people please help me with this
Answer:
6a+2d+10n+5
Step-by-step explanation:
Answer:
I believe you're trying to simplify if so then the answer is
6 a + 2d + 10n + 5y
if thats not what you're doing lmk what it is you are doing and i will help
Step-by-step explanation:
How do I solve this? Solve for x 2/3+5/3x=9
Answer:
5
Step-by-step explanation:
-7x+4y+9-4x=-7-5-5(-x-3y)
Answer:
for x = −11y/16+ 21/16
for y = 16x/11 +21/11
Step-by-step explanation:
Write an equation for the description . The length of a rectangle is twice its width . The perimeter of the rectangle is 122 feet.
Answer:
122 = 2(2w +w)
Step-by-step explanation:
If we let w represent the width of the rectangle, then 2w is the length of it. The perimeter is twice the sum of length and width.
P = 2(L+W)
122 = 2(2w +w) . . . . an equation for the description
janet has 30 classmates in her classrom 18 of those classmates are girls if there are a total of 500 students in her school how many students are girls
Answer:
11000
Step-by-step explanation:
Answer:
11000
Step-by-step explanation:
Which expression is equivalent to 9+9x+9y?
Answer:
9(1 + x + y)
Step-by-step explanation:
[tex] \huge 9 + 9x + 9y = \red{ 9(1 + x + y)}[/tex]
identify the range of a function plsss help
Answer:
C.
Step-by-step explanation:
Range is the set of y-values that are outputted by x-values in a function.
We see that our y-values span from -1 to 3, and since they are closed dots, they are included in our range. Therefore, our range is C.
Identify next three numbers in this sequence: 2, 6, 3, 9, 6, 18, 15
Answer:
45,42,126
multiply by 3
The next three terms in the sequence are : 45, 42 and 126
Given the sequence 2, 6, 3, 9, 6, 18, 15
Rule :
Multiply the first term by 3 to obtain the second term Subtract 3 from the 2nd term to obtain the third term The third term is multiplied by 3 to obtain the fourth term Subtract 3 from the fourth term to obtain the fifth term. And the process continues....Starting with the first term ; 2 ;
2nd term = 2 × 3 = 6
3rd term = 6 - 3 = 3
4th term = 3 × 3 = 9
5th term = 9 - 3 = 6
6th term = 6× 3 = 18
7th term = 18 - 3 = 15
8th term = 15 × 3 = 45
9th term = 45 - 3 = 42
10th term = 42 × 3 = 126
Hence, the next three terms of the sequence are : 45, 42 and 126
Learn more : https://brainly.com/question/18109692
what is 3/8 + 1/2 = i only have 5 minutes do finish this
Answer:
4/10
Step-by-step explanation:
this is the answer
Answer:
7/8
First Step: 1/2 converts to 4/8
Second Step: Add 4/8 and 3/8
4/8 + 3/8 = 7/8