The average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
Given the equation as a model, h(t) =–16t² + 72t.
Average speed from 3 to 4 seconds = [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]
Find h(4):
h(t) =–16t² + 72t
Substitute 4 for t in the equation h(t) =–16t² + 72th(4) = -16(4)² + 72(4)
h(4) = -256 + 288
h(4) = 32
Find h(3):
h(t) = -16t² + 72t
Substitute 3 for t in the equation h(t) =–16t² + 72th(3) = -16(3)² + 72(3)
h(3) = -144 + 216
h(3) = 72
Plug in the value into [tex]\frac{h(4) - h(3)}{4 - 3}[/tex]:
average speed from 3 to 4 secs = [tex]\frac{32 - 72}{4 - 3} = -40[/tex]
Therefore, the average speed of the rocket from 3 to 4 seconds after launch is: -40 ft/s
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Student council raised $670 earlier this year. Then they held a raffle. In total they raised $1,350. Write an equation an solve for the amount raised at the raffle.
Answer:
1,350-670=R
Step-by-step explanation:
R means Raffle
can I have some help?
Answer:
[tex]x = \sqrt{58} [/tex]
Step-by-step explanation:
first, you should draw a line to separate the triangle from the rectangle
You can get the height if the triangle by saying 16-9
This will give you 7
The base of the triangle is 3 because the opposite side is given and the opposite sides of a rectangle are equal
Now that we have the measurements of the triangle we can use the Pythagorean theorem
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] {x}^{2} = {7}^{2} + {3}^{2} [/tex]
[tex] {x}^{2} = 49+ 9[/tex]
[tex] {x}^{2} = 58[/tex]
[tex]x = \sqrt{58} [/tex]
Is (–3, –2) a solution to the equation y = x + –1?
Answer:
No.
Step-by-step explanation:
We plug in the coordinates and that gives us -2=-3+-1, that is not true, therefore your answer is no.
Brainliest would be appreciated! :-)
What is the x-value of the vertex of f(x) = -x2 + 9x - 11 ?
Answer:
I believe it would be 9/2 !
Step-by-step explanation:
Part C
What is the elevation of the deck where Winston ate dinner?
Answer: 10 feet
Step-by-step explanation:
What is the value of X
The answer would be 6 I belive make sure to double check it
The 20th term from the end of the AP, 3, 8 , 13,. ..... ,253 is
Given A.P = 3,8,13,...,253
Common difference = 8-3 = 5
The AP from the end = 253, 248,245,...,13,8,3
First term from the end = 253
Common difference = 248-253 = -5
We know that
an = a+(n-1)d
t20 = 253+(20-1)(-5)
→ t 20 = 253 +(19)(-5)
→ t 20 = 253-95
→ t 20 = 158
20th term from the end of the AP = 158
Lionfish are considered an invasive species, with an annual growth rate of 67%. A scientist estimates there are 8,000 lionfish in a certain bay after the first year.
Part A: Write the explicit equation for f (n) that represents the number of lionfish in the bay after n years. Show all necessary math work. (4 points)
Part B: How many lionfish will be in the bay after 6 years? Round to the nearest whole number and show all necessary math work. (3 points)
Part C: If scientists remove 1,200 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work. (3 points)
There would be 173,535 lionfish after 6 years.
Since lionfish are considered an invasive species, with an annual growth rate of 67%, ya scientist estimates there are 8,000 lionfish in a certain bay after the first year, A) to write the explicit equation for f (n) that represents the number of lionfish in the bay after n years; B) determine how many lionfish will be in the bay after 6 years; and C) if scientists remove 1,200 fish per year from the bay after the first year, determine what is the recursive equation for f (n); the following calculations must be performed:
A) 8000 x 1.67 ^ n = f B) 8000 x 1.67 ^ 6 = X 8000 x 21.691961596369 = X 173,535.692770952 = X C) (8000 - 1200 x 1 ^ n) x 1.67 ^ n = f
Therefore, there would be 173,535 lionfish after 6 years.
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A yoga studio charges a $180 yearly fee for membership plus $18 for each class. What is the average total cost per class if a studio member takes 75 classes per year? Do not include the dollar sign ($) in your answer.
Answer:
Average total cost per class is 13.5
Step-by-step explanation:
A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.
Yearly charge = 150 $
Charge per class = 12 $
A studio member takes 100 classes per year
Number of class attended by studio member = 100
We need to find average total cost per class for this member for a year.
Total charge = Yearly charge + Number of class attended x Charge per class
Total charge = 150 + 100 x 12
Total charge = 150 + 1200
Total charge = 1350 $
\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}
Average total cost per class =
Number of class attended by studio member
Total charge
Average total cost per class =
100
1350
=13.5$
Average total cost per class = 13.5 $
Study hard
Brainliest please thank you!
Answer:
1,530
Step-by-step explanation:
Total charge = 180 + 75 x 18
Total charge = 150 + 1,350
Total charge = 1,530 $
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
Answer:
1874.4
Step-by-step explanation:
First multiply 3.4 and 10
34
Then subtract 14 from 34
24
Then multiply 1.8 by 1028
1850.4
Lastly add 1850.4 and 24
1874.4
Answer:
7.987
Step-by-step explanation:
Just use your head man
PLEASE HELP IM REALLY NEED HELP
Answer:
x=7
Step-by-step explanation:
3.5/3= 1.1666666666
6*1.16666666= 7
x=7
Brent checks the sales records for a random sample of 16 days and finds the mean number of gallons sold is 150 gallons per day; the sample standard deviation is 12 gallons. With 95% confidence, estimate the what is mean number of gallons that Brent should stock daily.
Answer:
[143.61, 156.39]
Step-by-step explanation:
Because the population standard deviation is not available AND the sample size is less than 31, we can use a t procedure here.
Plug these values into your calculator:
Sample mean = 150
Sample size = 16
Standard deviation = 12
Confidence level = 95% = 0.95
and get [143.61, 156.39] as your confidence interval
convert 24580 m into km with process
Answer:
24.58 km
Step-by-step explanation:
1 km = 1000 m
1 m = 1 / 1000 km
24580 m
= 24580 / 1000
= 24.58 km
Henry goes to the carnival with 3
friends. They each ride 5 rides at
$5.50 per ride. Two of them buy an
ice cream cone for $2.00 each. Henry
buys a hot dog for $4.00 and his
friend has a hamburger for $3.00.
Each of the 4 friends buys a drink for
$1,75. What is the total amount they
spend at the fair?
Answer:
$5.50 x 5 = $27.5
$27.5 x 4 = 110$
$2.00 x 2 = $4.00
$4.00
$3.00
$1.75 x 4 = 7$
27.5 + 110 + 4.00 + 4.00 + 3.00 + 7 = 155.5
Step-by-step explanation:
can you me as brainliest if its right?\
my first answer was wrong
Find the percent increase. Round to the nearest percent. From 95 books to 153 books
Answer:
62%
Step-by-step explanation:
(The part/ the whole)× 100
(95/153) = 0.62
0.62×100 = 62%
Two pieces of equipment were purchased for a total of $5000. If one piece cost $410 more than the other, find the price of the less expensive piece of equipment
Answer: i have never did a math problem like this before because i'm only in the 2nd semester of 7th grade but i will try, i think it is 2090
Step-by-step explanation: 5000 divided by 2 = 2500. then you do 2500-410. 2500-410= 2090. (i hope this will help you and sorry if i did it wrong) :)
Graph the line with slope -2/3
passing through the point (-4,5).
Answer:
graph this equation
y = -2/3x 7/3
Step-by-step explanation:
y-5=-2/3(x--4)
y-5 = -2/3x - 8/3
y = -2/3x 7/3
Hailey wacthed 30% of the 120 shows in her favrite seires. How many more epsiodes will she need to wacth to finnish the series? (ik this easy)
Answer:
84
Step-by-step explanation:
Total episodes to watch = (100 - 30)% = 70%
Finding 70% of 120
70/100 × 120
7 × 12
84
A ladder is 65 inches tall. How tall is it in feet and inches?
1 foot = 12 inches
65 inches / 12 = 5.41 feet
5 x 12 = 60
65-60 = 5
Answer: 5 feet 5 inches
A car is 15 feet long. A truck is 80% longer than the car. How long is the truck?
Enter numerical answer only. (just the number)
also thank you to everyone that has been helping me out when i have quetions.
also be as fast as you can cause this quiz is do in 30 min cause i am staying after school.
Answer:
27
Step-by-step explanation:
Answer:
27 feet
Step-by-step explanation:
One way to do this is: 15 * 0.8 = 12 and you can add the original 15 feet to get 27 feet in total. I converted the 80 percent to a decimal and added it back to the original number.
Another way to do this is: 15 * 1.8 and the result is also 27 feet.
need help 5 stars and good rating for math problem
Answer: the 20 ounce box cost less per ounce
Step-by-step explanation:
Solve for x
x/6=10
1) x=10
2) x=60
3) x=4
4) x=16
Answer:
2) x=60
Step-by-step explanation:
x/6=10
multiply both sides by 6
x = 10*6
x=60
hope this helps! :D
have a miraculous day!! <3
Answer:
2) x = 60
Step-by-step explanation:
x/6=10
multiply both side by 6
x = 10*6
x = 60
✌️❤️✌️
7. (6 points) For the following geometric sequence, 3 ,- 1, 1/3,-1/9, …
Find the formula for the nth term
Answer:
The formula of the nth term is a₇=48(1/2)⁷⁻¹=48×1/64=3/4
Step-by-step explanation:
Okie help please math math math
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Answer:
x = 15
Step-by-step explanation:
The angles shown are supplementary angles. Supplementary angles add up to equal 180°
This means that 2x + 8 + 8x + 22 must equal 180
Note that we've just created an equation that we can use to solve for x
We now solve for x using that equation
2x + 8 + 8x + 22 = 180
combine like terms : 2x + 8x = 10x and 8 + 22 = 30
10x + 30 = 180
subtract 30 from both sides : 30 - 30 cancels out and 180 - 30 = 150
10x = 150
divide both sides by 10: 10x / 10 = x and 150 / 10 = 15
we're left with x = 15
Find the distance between (-10.-15) and (12, 18).
Answer:
11[tex]\sqrt3[/tex] or 39.66 units.
Step-by-step explanation:
Use the distance formula!
Answer:
The distance between two points with coordinates (-10,-15) and (12,18) is:
39.66 units (results are rounded to the nearest 100th)Step-by-step explanation:
Hoped this helped.
I apologize if this is incorrect.
he returns on share A follow the market model with coefficients αA = 0.01, βA =
1.25. If at time t, R~ MT = 0.02 and the actual return on share A is 0.025, calculate
∈�At (the error term)
Answer:
2 or more so it's be like 3 I guess he doesn't have the right for the tiger and in the heights block he it is a great game and to
If a < b then ka < kb
What is the slope of the line?
1/2 2 1 -2
Answer:
the slope of the line is 2
Step-by-step explanation:
Answer:
The slope of the line is 2.
Step-by-step explanation:
The point where the line crosses the y-axis, also known as the y-intercept, is (0,1). The next clear point is (1,3).
We can use the formula for finding slope here.
[tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]
If we plug in the points, with (0,1) being the first and (1,3) being the second, we'll get this:
[tex]\frac{3-1}{1-0} --> \frac{2}{1} --> 2[/tex]
Therefore, the slope is 2.
Which of the following statements explains the correct method to solve the equation 7x - 8 = 48?
Answer:
Follow the explanation below.
Step-by-step explanation:
7x = 48 - 8
7x = 40
x = 40/7
x = 5.714
Express as a single power.
a) 1
b) -5
c) [tex]\frac{6^3.6^5}{6^2.6^4} = \frac{6^{3+5} }{6^{2+4} } = \frac{6^8}{6^6} = 6^{8-6}=6^2[/tex]