The height of an object can be represented as a function of time.
It takes the rocket 25 seconds to hit the ground
The height function is given as:
[tex]\mathbf{h(t) = 400t - 16t^2}[/tex]
When the rocket hits the ground, we have:
h(t) = 0
So, the height function becomes
[tex]\mathbf{ 400t - 16t^2 = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 16t^2 = 400t}[/tex]
Divide both sides by 16t
[tex]\mathbf{ t = 25}[/tex]
Hence, it takes the rocket 25 seconds to hit the ground
Read more about height functions at:
https://brainly.com/question/22573423
8m - 8 - 8 = 16
equation
Answer:
8m-16 =16
8m=16+16
8m =32
m=32/8
m=4
Step-by-step explanation:
HOPE THAT THIS IS HELPFUL.
HAVE AN AWESOME DAY
An online store charges $5 to ship one box and $10 to ship two boxes. Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes. Use the explicit formula to determine how much the online store charges when shipping 11 items.
Write an explicit formula for an arithmetic sequence to represent the amount the online store pays to ship n boxes.
From what we know so far,
y = 5n
Use the explicit formula to determine how much the online store charges when shipping 11 items.
y = 5(11)
y = 55 dollars
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
$55
Step-by-step explanation:
Since we are not given much information in this problem, we know this must be a pretty simple sequence. If we make a sequence of Natural Numbers and match it up to the prices we've been given, we get
1,2,3,4...
5,10,15...
The price is increasing by five dollars for every "n", so our sequence is just 5n. Extrapolating this out gives us $55 for n=11
Which of the following properties of equalities can’t be used when solving 3x+6=10-x
Answer:
Step-by-step explanation:
C
Answer:
c) multiplication
Step-by-step explanation:
The casino will pay you $20 for every dollar you bet if your number comes up. How much profit is the casino making on the bet
Answer:
The casino is making 47 cents profit on your $1 bet
Step-by-step explanation:
19(1/38) + (-1)(37/38) = -0.4736
2.67 is best classified as a ______________ number.
Fill the blank
Y
Answer:
rational
Hope this helps!
lmk if it does
what is the slope of the equation above?
Question in Image Rearranging Algebra expressions Will give brainliest.
What are the terms in the expression 4 + 9V +6w?
Answer:
4, 9v, and 6w
Step-by-step explanation:
I'm pretty sure it's right
1. Write the following statements in the from of equations.
a. One third of a number plus 7 is 26
Answer: The number is 57
Step-by-step explanation:
Lemme tell you , We dont know the number , so we imagine it as x
so the question says one third of a number , so 1 third is 1 divided by 3 and if we imagene the number as x , we can write x/3 .
So x/3 +7 = 26 , as the equation says one third of a number plus 7 is equal to 26.
So write the lcm of 3 and 7 and then cross multiply , and subtract . you get
x = 57 , and we imagined x as the number so if x is 57 , so the number we have to find is also 57 . Done Easy .
- 3/4(12x+16)<9-5x Show your work
Answer:
x > -5.25
Step-by-step explanation:
I need a answer please help me with this
Geometry
Answer:
where are answer can u say
Find the missing side of the right
triangle.
7
4
Х
x= [?]
Enter the number that belongs in the green box,
Step-by-step explanation:
using Pythagoras theorem,
(hypotenuse)² = (perpendicular)² + (base)²
given that, hypotenuse =x, perpendicular =7, base =4
(x)² = 7² + 4²
(x)² = 49 + 16
x = √65
The quotient of k and 9 is greater than 1/3
ryan lives 3 1/4 miles from school. kayla lives 2 3/4 miles from school. how much farther from school does ryan live than kayla?
The first term of a geometric sequence is -2 and the common ratio is 3, What is the sixth term of the sequence?
Also, Write the Recursive Rule fo the seqeunce from above ^
Answer:
a₆ = - 486
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = - 2 and r = 3 , then
a₆ = - 2 [tex](3)^{5}[/tex] = - 2 × 243 = - 486
The recursive rule allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is
[tex]a_{n}[/tex] = 3[tex]a_{n-1}[/tex] with a₁ = - 2
Which point is in the graphed solution set of this system of inequalities?
4x-3y<12
6x+3y>5
A. (2,2) B. (0,-6) C. (2,-1) D. (-2,0)
Answer:
01110100 01101000 01100101 00100000 01101101 01100001 01110100 01110010 01101001 01111000
Step-by-step explanation:
Can somebody help me with this question, im stuck on it.
Answer:
180 degrees
Step-by-step explanation:
Transformations don't change the size or angles of a triangle.
We know the angle of T & S. We need to find R.
To do this we will do...
180 - (60+40) =
= 180-100
=80
R is 80 degrees.
Now to find Triangle ABC we will add up 60+40+80 to get 180 degrees.
Also, remember that triangles will ALWAYS add up to 180 degrees.
Hope this helps! Please give this a rating and press the heart button! Thanks!
To make five dinners 1/3 cup of flour is used how many cups of flour are needed to make 3 dozen dinner rolls
Answer:
2.4 cups of flour or 2 2/5 cups of flour
Step-by-step explanation:
(1/3) divided by 5 = 0.06666666666
3 dozen = 36
0.06666666666 x 36 = 2.4
also, did you mean to make 5 dinner rolls?
Find x and y.
[tex]\\ \sf\longmapsto 2x+11=3x-9[/tex]
[tex]\\ \sf\longmapsto x=11+9[/tex]
[tex]\\ \sf\longmapsto x=20[/tex]
And
[tex]\\ \sf\longmapsto y+10=2y-40[/tex]
[tex]\\ \sf\longmapsto 2y-y=10+40[/tex]
[tex]\\ \sf\longmapsto y=50[/tex]
Step-by-step explanation:
x2x + 11 = 3x - 9
2x - 3x = -9 - 11
x = -20
[tex] \: [/tex]
yy + 10 = 2y - 40
y - 2y = -40 - 10
-y = -50
y = 50
8 less than 4 times a number is 76. Find the number.
Answer:
the answer is twenty one
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7
Answer:
The answer is B final answer becuase its all positive.
Find the missing side K
K
53
45
Answer:
k=28
Step-by-step explanation:
help me with this one guys......
Answer:
[tex]7^-^1[/tex]
Step-by-step explanation:
So, when multiplying numbers with exponents that have the same base, all you have to do is combine the exponents.
I'M GIVING BRAINLIEST!!!!!!!!!!!
Answer:
i dont know
Step-by-step explanation:
MEEEEEEEEEE please
What is the result of adding these two equations?
5x - y = 6
-2x + y = 8
Answer:
3x = 14
Step-by-step explanation:
Given the two linear equations, 5x - y = 6 and -2x + y = 8:
We can add both equations the same way we add integers. The only difference is that we add the terms with the same variables.
5x - y = 6
+ -2x + y = 8
3x + 0y = 14 or 3x = 14
Therefore, the sum is 3x = 14.
solve for f
M-5N= f/t
Answer:
3.2
Step-by-step explanation:
Answer:
With the context you gave the awnser would be m≠5n
Step-by-step explanation:
Four times a number, increased by 10, is -2
what is the number?
Answer:
-3
Step-by-step explanation:
-3 × 4 = -12
-12 + 10 = -2
A string of length if meter is cut into 6 equal pieces. What is the
total length of 2 of the pieces? You need to simplify.
Answer:
1/3
Step-by-step explanation:
2/6=1/3
An ice skating arena charges an admission fee for each child plus a rental fee for each pair of ice skates. John paid the admission fees for his 6 nephews and rented five pairs of ice skates.
He was charged $32. Juanita paid admission fees for her seven grandchildren and rented 5 pairs of ice skates. She was charged $35.25. What is the admission fee?
What is the rental fee for a pair of skates?
Answer:
if we let admission fee per child to be a and the rental fee for the skates to be s.
Then john 6a + 5s =32
Juanita 7a + 5s = 35.25
Solving simultaneously we can eliminate s to solve for a first by subtracting one equation from the other.
6a + 5s = 32
7a + 5s = 35.25
we get -a + 0s = -3.25 therefore a= 3.25
Then we can solve for s by substituting a in either of the two equations
6 (3.25) + 5s =32
19.5 + 5s =32
5s = 12.5
s = 12.5/5
s = 2.5
Therefore, the admission fee: $ 3.25 per person and rental fee: $ 2.5 per pair of skates.
Step-by-step explanation:
To practice for a competition, Christian swam 0.51 kilometer in the pool each day for 4 weeks. How many meters did Christian swim in those 4 weeks?
Answer:
14.28
Step-by-step explanation: