Answer:
The maximum height of the rocket is about 391.1 feet.
Step-by-step explanation:
The height of the rocket y in feet x seconds after launch is modeled by the equation:
[tex]y=-16x^2+125x+147[/tex]
We want to find the maximum height reached by the rocket.
Since this is a quadratic equation, the maximum height occurs at the vertex. The vertex of a quadratic is given by:
[tex]\displaystyle \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 125, and c = 147.
Thus, the x-coordinate of our vertex is:
[tex]\displaystyle x=-\frac{125}{2(-16)}=\frac{125}{32}[/tex]
To find the maximum height, we will substitute this value back in. So:
[tex]\displaystyle y_{\text{max}}=-16\left(\frac{125}{35}\right)^2+125\left(\frac{125}{32}\right)+147\approx391.1\text{ feet}[/tex]
The maximum height of the rocket is about 391.1 feet.
What is the average rate of change of h over the interval (2,6) ?
Give an exact number.
Answer:
3
Step-by-step explanation:
2,6>>>1,3
the answer is
0.5
anyone know this?????
Answer:
WZX=57
Step-by-step explanation:
90-33 = 57
You don't have to use the equation unless you want to check yourself.
Sammy won 40 bouncy balls at the fall festival. Later, she gave two to each of her friends. She has 8 remaining. How many friends did she give the balls to.
Answer:
Sammy would have 16 friends.
Step-by-step explanation:
Let total number of friends be x, each friend gets 2 balls, this can be denoted as 2x balls.
The final relation can be expressed as:
40 (total number) =2x+8 , here 8 is the remainder after distribution.
Now we can solve for x
40=2x+8
40−8=2x
32=2x
x=16
Answer:
16 friends
Step-by-step explanation:
40 balls - 8 remaining = 32 balls in total
32 b in total / 2 balls each = 16 friends
hope this helps
Which shows a correct set of steps for adding 614 and 3516?
Answer:
Option A
Step-by-step explanation:
The unit volume explains it all.
Volumes are measured in units of length cubed. This also is the volume occupied by unit cubes.
By unit cubes, I meant, view the photo above
The volume of an object's says, how many of these cubes will fill that object.
It may not necessarily by a whole number.
So, the answer is Option A
Step-by-step explanation:
HELP making brainliest if it's correct and explain NO explaintion=no brainliest
List the 2 other things ASAP (DONT BE GIVING ME LINKS JUST ANSWER PLZ)
Answer:
Step-by-step explanation:
it can e the median of AC
and the angle bisector of B
948954847/15441454746
550084487
Answer:
whats the question-
Step-by-step explanation:
Answer this question to get marked as barinliest!!!!
Answer:
A
Step-by-step explanation:
what is the answer to this problem?
.
A = 9
B = 19
.
Explain.
If median are getting from " ( a + b ) ÷ 2 " . So :
.
Find b :
.
(a + b) ÷ 2 = Median
(17 + b) ÷ 2 = 18
17 + b = 18 × 2
17 + b = 36
b = 36 - 17
b = 19
.
In conclusion, the value of b is 19
.
Find a :
[tex] \frac{7 + a + 12 + 15 + 17 + 19 + 20 + 22 + 24 + 25}{10} = 17[/tex]
[tex] \frac{161 + a}{10} = 17 \\ [/tex]
[tex]161 + a = 17 \times 10[/tex]
[tex]161 + a = 170[/tex]
[tex]a = 170 - 161[/tex]
[tex]a = 9[/tex]
.
In conclusion, the value of a is 9
.
.
#LearnWithBrainly
GAK BISA BAHASA INGGRIS :(A line passes through the point (10, -6) and has a slope of -3/2 write an equation in slope-intercept form for this line
Answer:
y = -3/2x + 9
Step-by-step explanation:
As we already know the slope, we just need to find the y-intercept.
To find the y-intercept, you have to plug the values of x and y into the equation.
y = -3/2x + b
-6 = -3/2(10) +b
-6 = -15 + b
9 = b
The equation is y = -3/2x + 9
What fraction is equivalent to 75% of 1/3
Answer:
1/4
Step-by-step explanation:
Question 1 of 14
Sofia's family members are choosing numbers to see in
what order they will choose gifts. They will spin a spinner
with eight sections. The sections are numbered 1 through
8, and all sections are the same size.
What is the probability of spinning a number greater than 3?
A.
8
5
B.
3
8
8
Answer:
c
Step-by-step explanation:
count
Answer:
C
Step-by-step explanation:
You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash
Answer:
$15
Step-by-step explanation:
370-40=330
12+10=22
330÷22=15
15*22=330
The Ridgeport school district collected data about class
size in the district. The table shows the class sizes for five
randomly selected kindergarten and seventh-grade
classes.
Number of students in randomly
selected class
Mean Mean absolute
deviation
19
1.6
Kindergarten 17, 17, 21, 20, 20
Seventh 28, 30, 30, 29, 28
grade
29
0.8
Based on these data, which statement is true?
the answer is....the average size of seventh-grade class is larger but varies less than that of a kidergarten class.
your welcome.
Evan earns $21.50 per hour for 25 hours and time and a half for overtime. If he worked 5 hours
overtime, what is his total pay?
A right cylinder has a height of 8 inches and a volume of 100 cubic inches. Which measurement is closest to the radius, in inches, of the cylinder? B. C. 16 D. 50
Answer:
A
Step-by-step explanation:
volume of a cylinder:
[tex]V=\pi r^2h[/tex]
where r = radius and h = height
We are given the volume (V) and the height (h) and we need to find the radius (r).
To find the radius we are going to want to plug in the given values into the formula for volume of a cylinder and solve for r
so, * plug in given values *
[tex]400= \pi r^28[/tex]
Now we solve for r
step 1 take the square root of each side
[tex]\sqrt{400} =20\\\sqrt{\pi r^28} =\sqrt{\pi } 4*r\\[/tex]
now we have [tex]20=\sqrt{\pi } 4*r[/tex]
step 2 divide each side by sqrt (π) 4
[tex]\frac{20}{\sqrt{\pi } 4} =3.989 \\\\\frac{\sqrt{\pi } 4*r}{\sqrt{\pi } 4}=r\\[/tex]
we're left with r = 3.989
Finally we round to the nearest whole number and get that the answer is A.4
Can someone help me with this?....
Answer:
the sum is 7/5 or 1 2/5
Step-by-step explanation:
Help. Please. It’s due today.
Answer:
P = 31.6
Step-by-step explanation:
distance of AB and CD is 5 units each (used Distance Formula)
distance of BC and AD is [tex]\sqrt{117}[/tex] units each (used Distance Formula); which is
6[tex]\sqrt{13}[/tex]
2(6[tex]\sqrt{13}[/tex]) + 10 = 31.6
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest meter, how many meters are in 396 inches? Enter the answer in the box.
Hello, I Am BrotherEye
Answer:
Multiply total meters by 100 to get total centimeters:
6 meters x 100 = 600 centimeters.
Now divide total centimeters by 2.554 to get total inches:
600 centimeters / 2.54 = 236.22 inches.
Rounded to the nearest inch = 236 inches.
Step-by-step explanation:
*Important!
You multiply the length of the value by 39.37
Meaning that if you have 6 meters you would
Multiply it by 39.37 and get 236.22 inches. Please remember these rules for they will assists you in the future.
~
BrotherEye
Chris has scored the following points in his last five basketball games: 13,10,14,9,6
How many points must he have score in the next game to average 14 points per game?
PLEASE HELP! NO FILES THO! THEY DON'T WORK!
Answer:
he must score 32 points in the next game in order to average 14 points per game.
Step-by-step explanation:
14 x 6 = 84
84-(13+10+14+9+6)=32
checking:
32 + 13 + 10 + 14 + 9 + 6 = 84
84 divided by 6 = 14
An airplane is traveling at a speed of 200 miles/hour with a bearing of 240°. The wind velocity is 60 miles/hour at a bearing of 25°. What are the
plane's actual speed and direction angle?
Answer:
225.1°
155mph
can someone do this for me?
Answer:
9a6
Step-by-step explanation:
23-34 a + 1
Answer:
a = ± 2
Step-by-step explanation:
Use the distance formula to calculate XY, then equate to 10
d = [tex]\sqrt{x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = X(a -5, - 2a) and (x₂, y₂ ) = Y(a + 1, 2a)
XY = [tex]\sqrt{(a +1-(a-5))^2+(2a-(2a))^2\\}[/tex]
= [tex]\sqrt{(a+1-a+5)^2+(4a)^2}[/tex]
= [tex]\sqrt{6^2+16a^2}[/tex] , then
[tex]\sqrt{36+16a^2}[/tex] = 10 ( square both sides )
36 + 16a² = 100 ( subtract 36 from both sides )
16a² = 64 ( divide both sides by 16 )
a² = 4 ( take the square root of both sides )
a = ± [tex]\sqrt{4}[/tex] = ± 2
Hailey invested $2,000 in an account paying an interest rate of 2\tfrac{3}{8}2 8 3 % compounded continuously. Sophie invested $2,000 in an account paying an interest rate of 2\tfrac{7}{8}2 8 7 % compounded daily. To the nearest hundredth of a year, how much longer would it take for Hailey's money to double than for Sophie's money to double?
Answer:
5.08 years
Step-by-step explanation:
We are to solve for time using compound interest formulas
For Hailey
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 3/8% = 2.375.
Time = ?
Hence,
First, convert R as a percent to r as a decimal
r = R/100
r = 2.375/100
r = 0.02375 per year,
Then, solve the equation for t
t = ln(A/P) / r
t = ln(4,000.00/2,000.00) / 0.02375
t = 29.185 years
≈ 29.19 years
For Sophie
Principal = $200
Amount = Double of Principal = $4000
Rate = 2 7/8% = 2.875
Time = ?
First, convert R as a percent to r as a decimal
r = R/100
r = 2.875/100
r = 0.02875 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )
t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )
t = 24.11 years
How much longer would it take for Hailey's money to double than for Sophie's money to double?
For Hailey it takes 29.19 years
For Sophie it takes 24.11 years
We find the difference
= 29.19 - 24.11
= 5.08 years
Therefore, it would take 5.08 years for Hailey's money to double than Sophie
Answer:
5.07 a little late but oh well
Step-by-step explanation:
pls help!!!!!! will give brainliest!!!
Which statement describes the association in this scatterplot?
A) positive linear association
B) negative nonlinear association
C) negative linear association
D) positive nonlinear association
Answer:
a
Step-by-step explanation:
the plots are going up from the origin which means its positive and linear
If a ladder 8 feet long is placed so that it just reaches a window 6 feet from the ground, how far from the building is the foot of the ladder?
Answer:
5.291 feet
Step-by-step explanation:
I used pythagorus thoery
find y if the line through the points (-4,y) and (8,2) has a slope of -1/3
Step-by-step explanation:
hope this helps!!!!!!!!!!!
The graph of F(x), shown below, has the same shape as the graph of
G(x) = x2, but it is shifted up 3 units. What is its equation?
F(x) =
O A. F(x) = (x - 3)2
O B. F(x) = x2 + 3
O C. F(x) = (x + 3)
O D. F(x) = x2-3
Answer:
F(x) = x^2+3
Step-by-step explanation:
B. F(x) = x² + 3 is the correct answer.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Horizontal translation: g(x)=f(x+c).
The graph is translated c units to the left if c>0 and c units to the right if c<0.
Vertical translation: g(x)=f(x)+k.
The graph is translated k units upward if k>0 and k units downward if k<0.
Since F(x) has the same shape as G(x) = x^2, but it is shifted up 3 units, we can write:
F(x) = G(x) + 3
F(x) = x² + 3
Therefore, the correct answer is B. F(x) = x² + 3.
Learn more about function here:
https://brainly.com/question/29633660
#SPJ7
Please help me ASAP!
Answer:
C
Step-by-step explanation:
6 is the smallest so the first one would be c because it is the smallest
there were 64 basketball games during the NCAA tournament 16 of those games were decided by 3 points or less what percentage of games were decided by 3 points or less
Answer:
25%
Step-by-step explanation:
We can use a proportion to answer this question:
64 represent the 100% of the games
so:
x : 100 = 16 : 64
x = (16*100)/64 = 1600/64 = 25%
Write the equation in the form y = mx + b, of any line that is perpendicular to the line y = 5x + 4.
Answer:
y = -1/5x - 2
Step-by-step explanation:
All you need is a perpendicular slope and any y-intercept.
Perpendicular slope is a negative reciprocal so:
5 → -1/5
y-intercept doesn't matter so:
y = -1/5x - 2
Answer:
y= -1/5x +4
Step-by-step explanation:
To find a perpendicular line, you need the negative reciprocal of the slope, in this case it is 5 and -1/5.