Answer:
The rocket would be in the air for 8.125 seconds after launch.
Step-by-step explanation:
Given that the height of the rocket, h = 260t - 16[tex]t^{2}[/tex].
To determine how long the rocket would be in the air, differentiate h totally with respect to t.
So that, total derivative of h is given as;
[tex]\frac{dh}{dt}[/tex] = [tex]\frac{d(260t-16t^{2}) }{dt}[/tex]
0 = 260 - 16 x 2t
= 260 - 32t
0 = 260 - 32t
32t = 260
t = [tex]\frac{260}{32}[/tex]
= 8.125
t= 8.125 seconds
The rocket would be in the air for 8.125 seconds after launch.
Which of the following conditions is necessary to prove that a quadrilateral is a parallelogram?
A. the diagonals bisect each other
B. The diagonals are congruent
C. The diagonals are perpendicular
D. The diagonals intersect on the perpendicular bisector of the two sides?
The height of a building is 1417 ft. How long would it take an object to fall to the ground from the top? Use the formula s = 16t ^ 2 where s is the distance, in feet traveled by an object falling freely from rest in seconds.
Given :
The height of a building is 1417 ft.
To Find :
How long would it take an object to fall to the ground from the top.
( Use the formula s = 16t² where s is the distance, in feet traveled by an object falling freely from rest in seconds. )
Solution :
Putting value of height in given equation, we get :
[tex]16t^2 = 1417\\\\t^2 = \dfrac{1417}{16}\\\\t^2 = 88.5625\\\\t = \sqrt{88.5625}\\\\t = 9.41 \ seconds[/tex]
Therefore, time taken by object to reach the ground is 9.41 seconds.
Name the type of angle pain:
-Linear Pair
-Vertical Angles
-Complementary Angles
-Corresponding Angles
Write the equation of the line that passes through the points (4,6) and (4,-4). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Find the solution set for 8x - 3 = 2(x - 1/2)
Answer:
x = 1/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
8x - 3 = 2(x - 1/2)
Step 2: Solve for x
Distributive 2: 8x - 3 = 2x - 1Subtract 2x on both sides: 6x - 3 = -1Add 3 to both sides: 6x = 2Divide 6 on both sides: x = 1/320pts answer please the picture
Answer: Hope this helps!
Step-by-step explanation:
Area of a trapezoid formula base a+base b/2*h
Base a is the top length (22.5)
Base b is the bottom length (49.9)
Add those two lengths together (22.5+49.9=72.4)
Divide that by two (72.4/2=36.2)
Then multiply that by the height (36.2*23.8=861.56)
So your area is 861.56
For brainliest and points
Answer:
It's too small to read
Step-by-step explanation:
Answer:
16. A
Step-by-step explanation:
farah pays $29 signup fee to join a car sharing service and a $5 monthly charge the total cost of using the car service for n months can be found using C(n)=29+5n comolete the table
34
-------------------------------------------------------------------------------------------------
what is the answer?
Answer:
x = 20 but see below.
Step-by-step explanation:
Remark.
This is not well enough marked to know whether D = A or whether you have to do some algebra to find the relationship between A and D. So I will assume A = D and then I'll solve it so you have to manipulate A and D.
A = D
3x - 10 = 2x + 10 Add 10 to both sides
3x - 10 + 10 = 2x + 10 + 10 Cancel
3x = 2x + 20 Subtract 2x from both sides
3x-2x=2x-2x + 20
x = 20
A = E
If A = E then to find x you have to add 3 angles together.
E + D + 45 = 180 Add the three angles of the triangle
E + D = 180 - 45 Subtract 45 from both sides
E + D = 135 Substitute for D and E
3x - 10 + 2x + 10 = 135 Combine like terms
5x = 135 Divide by 5
x = 135 / 5
x = 27
Answer
I'd go with the first one.
(0,0)
M is the midpoint of CD. If the midpoint M
is (-3, 5) and C is (2,3), then what are the
coordinates of D?
O
(-1/2,4)
(-8,7)
o
(-4,1)
Answer:
The answer is (3-,5) watch is C cause if you do that but in math form it's the same
there are 360 students in a school and 120 of them are girls find the ratio of boys and the total number of students
Willie bought 8 pounds of apples that cost $10.32 Determine the cost of 5 pounds.
eighty less than three times a number?
Answer:
30 x 3 - 80 is 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Eight less than three times a number is 10.
A certain financial institution declared Php 57.00 dividend per share for its common stock. The market value of the stock is Php 198.00. Determine the stock yield ratio. (percentage with 2 decimal places)
Answer:
28.79
Step-by-step explanation:
The dividend share is Php 57
The Market value for the stock is Php 198
Therefore the stock yield ratio can be calculated as follows
= 58/198
= 0.2879 × 100
= 28.79
Hence the dividend stock yield ratio is 28.79
One pencil is 9.36 inches long. The second pencil is 6.7 inches long. The third pencil 8.025 inches long. Will placing the pencils end to end make a total length greater than 2 feet?
Answer:
Yes it would
Step-by-step explanation:
A foot is 12 inches and when you add all of them up you get 24.085 which is more than 2 feet. Now marry me
Factor the polynomial f (x) = x3 – 19x + 30 if x – 3 is a factor.
Answer:
Step-by-step explanation
By Using Synthetic Division Method:
3 1 0 -19 30
3 9 -30
1 3 -10 0
factorise: (x^2+3x-10)(x-3)
=(x+5)(x-2)(x-3)
Answer:
ITs B on edge
Step-by-step explanation:
cause i said so cuzzzz
Consider the equation x-5) =(y-2)2. What is the equation of the directri?
Hurry 20 points
Please help ASAP !!
Please help ASAP !!
Please help ASAP !!
Answer:
7/50
Step-by-step explanation:
That is the simpliest fraction. Hope dis helps
n + 7 < -3
solve and show work please
Answer:
n < -10
Step-by-step explanation:
In order to get the variable n by itself subtract 7 from both sides across the inequality
n + 7 < -3
-7 -7
n < -10
The discount price of a hat is $18. If the price is 75 percent
What is an equation of the line that passes through the points (-4, 3) and
(-1, 6)?
A. y = -x - 7
B. y = -x - 1 C. y = 7x + 1
D. y = x + 7
NEED HELP ASAP PLSSS WILL MARK BRAILIST!!
You want to save $120,000 to buy your first self-driving magic carpet. You deposit $80,000 in a bank at a simple interest rate of 5%. How many years do you have to wait before you can buy your magic carpet? (*Hint: I=prt)
Answer:
10
Step-by-step explanation:
10% of 80000 is 8000
thus 5% is 4000
Write the equation of
the line that passes
through (2,-4) &
has a slope of -1.
Answer:
y= -1x-6
Step-by-step explanation:
The equation would be y=mx+b
M= slope, and B=y-intercept
If you look at a graph and use the slope to get to the Y-intercept you'll see that it is -6, and so you would just plug that into the equation along with the slope :)
15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:
Answer:
it is the first answer(2x+2,y)
DESCRIPTION
the midpoint can be found with
(x1+x2/2, y1+y2/2)
Write an equation of the line that passes through (4,-2) and is parallel to y=1/2x -7
Answer:
5 x - 6 y - 8 = 0.
Step-by-step explanation:
Ajit says the following steps can be used to find 0.48 of in which step did he make his first error? Step 1 Change "of" to the multiplication symbol. O Step 1 O Step 2 O Step 3 Step 2 48 x 7 = 336 O Step 4 Step 3 There is 1 decimal place in 7 and 3 decimal places in 0.48 for a total of 4 decimal places in the factors Step 4. Move the decimal place in the product 4 places to the left to find the solution: 0.48 of 7 is 0.0336.
Answer:
step one
Step-by-step explanation:
of is a key word for division
Find the value of X
Answer:
should be 80, angle 50 is congruent on both sides to 50+50 equals 100. The triangle sum theorem says a triangle adds up to 180 degrees so we are left with 80, X=80 degrees
PLEASE HELP NEED HELP ASAP!!!!!!
Answers:
x = 3
y = 9
=========================================================
Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
Harry needs $1564 each month for bills and rent and $183 each week for weekly expenses. How much does he need to net yearly?
How does the graph of f(x) = |x| compare with the graph of g(x) = −2|x|? Select all that apply.
A. The graph of g is a vertical compression of the graph of f.
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
Answer:A
Step-by-step explanation:
Using translation concepts, it is found that the corrects options are:
B. The graph of g is a vertical stretch of the graph of f.
C. The graph of g is a reflection over the x-axis of the graph of f.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.In this problem, the functions are:
[tex]f(x) = |x|[/tex]
[tex]g(x) = -2|x|[/tex]
g is the function of f multiplicated by -2, hence:
It is a vertical stretch, as it is multiplied by a value with absolute value greater than 1.It is multiplicated by a negative value, hence it is reflected over the x-axis.Hence, options b and c are correct.You can learn more about translation concepts at https://brainly.com/question/13671886