A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second. y=-16x^2+242x+73
Answer:
t = 15.42 s
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation.
[tex]y=-16x^2+242x+73[/tex]
We ned to find the time when the rocket will the ground. For this, y = 0
[tex]-16x^2+242x+73=0[/tex]
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = -16, b = 242 and c = 73
[tex]x=\dfrac{-b+ \sqrt{b^2-4ac} }{2a}, x=\dfrac{-b-\sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-242+ \sqrt{(242)^2-4(-16)(73)} }{2(-16)}, x=\dfrac{-242- \sqrt{(242)^2-4(-16)(73)} }{2(-16)}\\\\=-0.295\ s, 15.42\ s[/tex]
Neglecting negative value.
So, it will hit the ground in 15.42 s.
Answer:
t = 15.42 s
Step-by-step explanation:
A cheetah ran 60/4 and a gazelle ran 100/8 which won is higher
Answer:
The cheeta is slow, the gazelle
Step-by-step explanation:
The cheeta x2 is 120/8 making the gazelle higher
Answer:
Cheetah
Step-by-step explanation:
One: Cheetah's have always been known as the fastest animals on earth.
Mathematically:
60 / 4 = 15 (cheetah)
100 / 8 = 12.5 (gazelle)
15 is higher than 12.5
A punch recipe calls for 6 quarts of juice. If the recipe is tripled, how many gallons of juice will be needed
A : 18
B: 9
C: 4 1/2
D : 3
should i use dy\dx (normal differentiation) or d²y\dx² (differentiation of the differentiation)?
Use both!
You want to minimize P, so differentiate P with respect to x and set the derivative equal to 0 and solve for any critical points.
P = 8/x + 2x
dP/dx = -8/x² + 2 = 0
8/x² = 2
x² = 8/2 = 4
x = ± √4 = ± 2
You can then use the second derivative to determine the concavity of P, and its sign at a given critical point decides whether it is a minimum or a maximum.
We have
d²P/dx² = 16/x³
When x = -2, the second derivative is negative, which means there's a relative maximum here.
When x = 2, the second derivative is positive, which means there's a relative minimum here.
So, P has a relative maximum value of 8/(-2) + 2(-2) = -8 when x = -2.
Tell whether 15/7 and 16/8 form a proportion yes or no
Answer:
yesStep-by-step explanation:
it can be written either as 15/7 or 15:7 to be a proportion, same goes for 16/8 and 16:8
Answer:No.
Step-by-step explanation:15 x 8 is 120 and 16 x 7 is 112 which isn’t equivalent
Find the slope of the line containing the pair of points.
(-8,-2) and (6,3)
Answer:
5/14
Step-by-step explanation:
3--2=5
6--8=14
please help please help please help please help please help please help please help please help
Determine which of the lines, if any, are parallel. Explain.
8. Line a passes through -1, 4 and 1, 5. 9. Line a: 6 y = -x + 12
Line b passes through -2, 7 and 0,4 . Line b: x = 6y + 5
Line c passes through 0, 4 and 2, 5.
Line c: -6 y + x = 5
Answer:
8) a and c
9) b and c
Step-by-step explanation:
Explanation and work are in the picture :)
The price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased?
Answer: 25 percent
Step-by-step explanation:
The price of the medicine was increased by 50%.
Given,
The price of some medication was increased from $8 to $12.
We need to find by what percentage the price of the medicine increased.
How do we find a percentage increase?The formula used is given as:
Percentage increase = [tex]\frac{Final~amount - Initial~amount} {Initial ~amount}[/tex] x 100
Find the initial amount.
= $8
Find the final amount.
= $12
Find the percentage increased.
= ($12 - $8) / $8 x 100
= 4/8 x 100
= 1/2 x 100
= 50%
Thus the price of the medicine was increased by 50%.
Learn more about how to find the percentage increase with a ratio given here:
https://brainly.com/question/22624454
#SPJ6
in the figure below, m<2=62. Find m<1, m<3, m<4
Step-by-step explanation:
yes
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
Can someone help me with this pls?
Answer:
1/4 is the simplest form
Step-by-step explanation:
Answer:
MARK ME BRAINLIEST MARK ME BRAINLIEST
MARK ME BRAINLIESTMARK ME BRAINLIEST
Points c (-5,8) and d (2,5) lie in line cd, if points c and d are created by translating points c and d left 6 units, what is the slope of line c’
Answer:
Step-by-step explanation:
Remark
Moving 6 points left is not going to alter the slope (or it shouldn't).
The x value has to have 6 subtracted from it. Leave the y value alone.
Givens
C: (-5-6,8) = (- 11,8)
D: (2-6,5) = (-4,5)
Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (8 - 5)/(-11 - - 4)
m = 3 / - 7
m = - 0.429
Check
Let's find the slope of the original points.
(8 -5)/(-5 - 2) = 3/-7 which is the same thing.
it is due in very soon and i don’t wanna fail math. can someone plz help. :/
Answer:
y= -1 , 0 , y = -2
x= 10 , infinity , x = 7
x= -4 , infinity , x= 7
At Springfield Middle School, there are n 7th graders, and p% of them play at least one sport. Which expression represents the number of students who do not play any sports? 4©Success Academy Charter Schools 2020 A p n B .01np 0C 100 (100−p)nD .01 (1−p)nE 00(1 )n 1 −p
Answer:
(1-0.01p)/n
Step-by-step explanation:
Mathematically;
Percentage of student playing at least one sport = 100% - Percentage of students playing no sport
Mathematically, that would be;
Percentage playing no sport = 100% - p%
So, to find this in n 7th graders
we have;
(100-p)/100 * n
= 100-P/100n = 1/n - P/100n
= 1/n - 0.01p/n
= (1-0.01p)/n
1.
A. SSS
B.T SAS
C. ASA
D. AAS
E. HL
F.. Not
Answer:
ASA
Step-by-step explanation:
The product of a number and 7 is 6.
Answer:
0,8571
Step-by-step explanation:
7 ÷ 6 = 0,8571
7 · 0,8571 = 5,9997 ≈ 6
Aubrey wants to save money to purchase a new bicycle that costs $275. If she saves $5 per week, how many weeks will it take Aubrey to have enough money to purchase the bicycle?
Answer:
55
Step-by-step explanation:
275/5=55
Which theorem is not a valid theorem to show that two triangles are congruent?
A. SAS Triangle Congruence Theorem
B. SSA Triangle Congruence Theorem
C. ASA Triangle Congruence Theorem
D. AAS Triangle Congruence Theorem
Answer:
B
Step-by-step explanation:
I got 100 on my test and that was my answer
This is about Knowledge of Congruence Theorems of Triangles.
Option B is not Valid
In Congruence theorems, we have 4 major types which are;
1) SSS Congruency Theorem; This one denotes Side - Side - Side and it means that if 3 sides of a triangle are equal to corresponding 3 sides of another triangle, then they are both congruent.
2) SAS Congruency Theorem; This one denotes Side - Angle - Side and it means that if 2 sides and one angle of a triangle are equal to corresponding 2 sides and one angle of another triangle, then they are both congruent.
3) ASA Congruency Theorem; This one denotes Angle - Side - Angle and it means that if 2 angles and the included side of a triangle are equal to corresponding 2 angles and the included side of another triangle, then they are both congruent.
4) AAS Congruency Theorem; This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.
Looking at the options, the only one that is not Valid is Option B.
Read More at; https://brainly.com/question/10533727
What is the annual interest for a principle of $3,500 at a simple annual interest rate of 2.3%?
Answer:
80.5
Step-by-step explanation:
giving brainliest h e l p
Answer:
She can buy 1 bullitin board.
Step-by-step explanation:
1347 divided by 75 is 17.96
I HOPE THIS HELPS. EVEN THIS IS NOT THE ANSWER, I HOPE IT HELPS YOU FIND THE ANSWER.
8n - 4n squared + 8n
Answer:
Step-by-step explanation:
10
What is the equation of the line shown in this graph?
Answer:
y = 1
hope that helps you
Osama buys some notebooks and some pens.
Each notebook costs $12 more than each pen.
The total cost of 5 notebooks and 2 pens is $64.20.
Find the cost of one pen.
Answer:
$2.10
Step-by-step explanation:
12*5=60
64-60.20=4.20
4.20 is for 2 pens
4.20/2=2.10
=$2.10
When converting 16/3 from improper to a mixed number, what will the whole number be? first one will get mark brainlist
Answer: 5 1/3
Step-by-step explanation:
is the point (-2,3) a solution to y<2x+1?
Answer:
No it is not
Step-by-step explanation:
Plug it in
3 < 2(-2) + 1
3 < -4 + 1
3 < -3
3 is not less than -3
A moving company drove one of its trucks 100,042 miles one year. A second truck was
driven 98,117 miles, and a third truck was driven 120,890 miles. How many miles
were driven by all three trucks?
HELP ME PLEASE IVE BEEN STUCK FOR HOURS ON THIS!!!!!!
319049
as 100,042 + 98,117 + 120,890 = 319,049
PLEASE ANSWER ASAP For the Christmas and holiday season, every student in Mrs. Perri’s class decided to send a card to each student in the class and to Mrs. Perri. There are 31 students in the class. How many cards were sent that day?
HELP DUE IN 5 MINUTES!!!!
Find the slope of a roof of a home that rises 6 feet for every horizontal change of 24 feet.
O -4
0 1
0 4
O None of the above
A horse farm is developing a new indoor arena in a rectangular buliding. They want the width of the building to be 3 wide feet and the length to be 4y+8 feet. Write an expression in the simplist form to represent the are a of the building in terms of y.
Answer:
The area of the building in terms of y in its simplest form is 12(y + 2)
Step-by-step explanation:
Since the area of a rectangle is A = LW where L = length and W = width. From our question, the width of the rectangular building is 3 feet. So, W = 3 feet and its length is 4y + 8 feet. So, L = 4y + 8 feet.
So, the area of the building in terms of y is A = LW
= (4y + 8) × 3
Factorizing out 4 from the expression, we have
= 4(y + 2) × 3
= 12(y + 2)
So, the area of the building in terms of y in its simplest form is 12(y + 2)
Use the word problem below to solve the problems. It costs $50 to rent a car plus $3.00 per gallon of gas in the car. If I can spend at most $83.00, then how many gallons of gas can I get when I rent the car? 1.Write the inequality (ex. a + bx < c) and show all work to solve the inequality. 2. Graph the solution to your inequality on a number line.
Answer:
i just know you can have 12 gallons of gas
Step-by-step explanation:
because it is 3x2=6
3x10=30 which means 10+2=12
Answer:
50×5=78
Step-by-step explanation:
5÷3.00/83.00(ab)