Answer:
-29.61m/sStep-by-step explanation:
Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t+1/2(8)t^(1/2 - 1)
V = -32t+4t^-1/2
The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.
V = -32t+4(2.8)^-1/2
V = -32t+4/√2.8
V = -32+4/1.6733
V = -32+2.391
v = -29.61m/s
Hence the average speed of the fall is -29.61m/s
The average speed of the fall is -29.61m/s
Calculation of the average speed:[tex]V = d(s(t))\div dt\\\\s(t) = −16t^2 + 8t^{1/2}\\\\V = -32t+1/2(8)t^{(1/2 - 1)}\\\\V = -32t+4t^{-1/2}[/tex]
Now here t = 2.8 seconds
So,
[tex]V = d(s(t))\div dt\\\\s(t) = −16t^2 + 8t^{1/2}\\\\V = -32t+1/2(8)t^{(1/2 - 1)}\\\\V = -32t+4t^-1/2[/tex]
V = -32+2.391
v = -29.61m/s
Learn more about the speed here: https://brainly.com/question/13373304
9,000 is blank as 900
Consider the Line L(t) = <2+t,5-4t>. Then L intersects:
The x- axis at the point (3.25,0) when t = 5/4
The y- axis at the point (0, 13) when t = -2
The parabola y = x^2 at the points ___ and ___ when t = ____ and ____
Answer:
The parabola [tex]y=x^{2}[/tex] at the points [tex](-2+\sqrt{17},21-4\sqrt{17})[/tex] and [tex](-2-\sqrt{17},21+4\sqrt{17})[/tex] when [tex]t=t_{1}=-4+\sqrt{17}[/tex] and [tex]t=t_{2}=-4-\sqrt{17}[/tex]
Step-by-step explanation:
We have the following line written in parametric form :
[tex]L(t)=(2+t,5-4t)[/tex] with [tex]t[/tex] ∈ IR.
In order to find the intersection between [tex]L(t)[/tex] and the parabola [tex]y=x^{2}[/tex] we know that ''[tex]2+t[/tex]'' is the x-coordinate of the line and ''[tex]5-4t[/tex]'' is the y-coordinate of the line. Now, to solve this problem we need to find the values of ''[tex]t[/tex]'' in which the intersection occurs. We can do this by replacing the components ''[tex]x[/tex]'' and ''[tex]y[/tex]'' of [tex]L(t)[/tex] in the equation of the parabola ⇒
[tex]L(t)=(2+t,5-4t)[/tex] = ( x component , y component ) = ( x , y ) ⇒
In the parabola : [tex]y=x^{2}[/tex] ⇒ [tex]5-4t=(2+t)^{2}[/tex]
Solving the equation we find that :
[tex]t^{2}+8t-1=0[/tex]
Using the quadratic formula with
[tex]a=1[/tex] , [tex]b=8[/tex] and [tex]c=-1[/tex]
We find that the two possible values for t :
[tex]t_{1}=\frac{-b+\sqrt{b^{2}-4ac}}{2a}[/tex] and [tex]t_{2}=\frac{-b-\sqrt{b^{2}-4ac}}{2a}[/tex]
are [tex]t_{1}=-4+\sqrt{17}[/tex] and [tex]t_{2}=-4-\sqrt{17}[/tex]
This values [tex]t_{1}[/tex] and [tex]t_{2}[/tex] are the values of the parameter t where the line intersects the parabola so we can find the points by replacing the values of the parameter in the equation [tex]L(t)[/tex] :
[tex]L(t_{1})=(-2+\sqrt{17},21-4\sqrt{17})[/tex] and
[tex]L(t_{2})=(-2-\sqrt{17},21+4\sqrt{17})[/tex]
The final answer is
The parabola [tex]y=x^{2}[/tex] at the points [tex](-2+\sqrt{17},21-4\sqrt{17})[/tex] and [tex](-2-\sqrt{17},21+4\sqrt{17})[/tex] when [tex]t=t_{1}=-4+\sqrt{17}[/tex] and [tex]t=t_{2}=-4-\sqrt{17}[/tex]
The first number in an ordered pair of numbers that corresponds to a point on a coordinate system is what
Answer:
"abscissa"
Step-by-step explanation:
The first number in an ordered pair of numbers in a coordinate system is generally called abscissa.
Answer:
x value is the correct answer
Step-by-step explanation:
I just took the test 2021 thank me later
Sue weighed 82 kg at the start of the year, but she has lost weight at a consistent rate because she has been diligent with her exercise and diet plan. Sue weighed herself at the end of each month and tracked her progress for the full year using the graph above. How much weight did Sue lose each month? Question 5 options: A) 4 kg B) 2 kg C) 3 kg D) 1 kg
Answer:
Option (B)
Step-by-step explanation:
Sue's weight at the start of the year = 82 kg
Sue weighed herself at the end of every year, so that the straight line on the graph shows the gradual reduction in the weight every month.
Slope of the line will describe the reduction in the weight per month.
Let the two points on the given line are (1, 80) and (11, 60).
Slope of the line will be,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{60-80}{11-1}[/tex]
= -2 kg per month
(Here minus sign denotes the reduction of weight per month)
Option (B) will be the answer.
Answer:
2 kg
Step-by-step explanation:
Bill has $6 more than Ted. Together they have $32. Write two equations and then solve for the amount of money that bill has.
Answer: Bill Has 19$
Step-by-step explanation:
what does y=-(7)/(2)x+5 look like on a graph.
Answer:
Here you go buddy.
During a normal day, there are 280 planes taking off the airport, but the airport is a lot busier during Christmas. During the Christmas holidays, about 336 planes take off everyday from the airport
Compared with a normal day, how many more passengers depart from
the airport in a day during the Christmas holidays?
Answer:
56
Step-by-step explanation:
Answer:
6000
Step-by-step explanation:
we dont know how many people are in each plane but based on the average it should be this
What is the answer to this?
Answer:
−6y+24
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
parenthesis come first (PEMDAS)
2×8=16
2×3y=6y
9+16-6y-1
Add like terms
9+16=25
25-6y-1
Subtract like terms
25-1=24
-6y=24
Multiple each sides by using fractions
1/(-)6×24/1=4
Burgers come in packs of 10. The cost of 10 burgers is £3.45. How much does 1 burger cost?
One number is 28 less than another number. If the sum of the two numbers is 92, find the two numbers.
Answer:
The two numbers are 32 and 60.
Step-by-step explanation:
We can create two simultaneous equations to solve this problem using the information given in the question.
Let number 1 = x
Let number 1 = y
x = y - 28 -> ( 1 )
x + y = 92 -> ( 2 )
We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier option.
Substitute ( 1 ) into ( 2 ):
x + y = 92 -> ( 2 )
( y - 28 ) + y = 92
2y - 28 = 92
2y = 120
y = 120 / 2
y = 60 -> ( 3 )
Substitute ( 3 ) into ( 1 ):
x = y - 28 -> ( 1 )
x = ( 60 ) - 28
x = 32
Therefore:
x = 32 , y = 60
Suppose you are asked to find the area of a rectangle that is 2.1-cm wide by 5.6-cm long. Your calculator answer would be 11.76 cm^2. Write the answer to two significant figures.
Answer:
12cm^2
Step-by-step explanation:
Area of a rectangle = Length × Width
Length = 5.6cm
Width= 2.1cm
Area of the rectangle = Length × Width
= 5.6cm × 2.1cm
= 11.76 centimeter square
Area of the rectangle = 11.76 centimeter square
Answer to two significant figures
There are two figures before the decimal and two figures after the decimal
Since, the question asked us to 2 significant figures, then we will focus on the two figures before the decimal point.
11.76
Using .76 round 11 to the nearest whole number
We have,
12 centimeter square
12cm^2
Pls answer fast Y=Mx+b for x And Y=Mx+b for m Shoe steps
Answer:
1. x= y/m - b/m
2. m= y/x - b/x
Step-by-step explanation:
hope this helps.
PLEASE HELP I WILL MARK YOU AS BRAINLEIST IF YOU GET THIS RIGHT ! ! !
Answer:
(-8, 2)
Step-by-step explanation:
Count 4 units to the right.
Jeremiah buys 6.5 pounds of ground beef at the grocery store. Ground beef costs $5.50 for one pound. How much does Jeremias spend?*
Answer:
35.75
Step-by-step explanation:
6.5 times 5.50 = 35.75
or
5.50+5.50+5.50+5.50+5.50+5.50=35.75
36) A contractor built a square hall having
an area of 4489 m2. How long is the hall?
Answer:
area of square = l²= 4489m²
l=√4489 = 67m
Step-by-step explanation:
2.02 into 10 raised to 7 is the answer
p: student achieves 90 percent on the geometry final. q: student will receive a passing grade in geometry class. Which statement is logically equivalent to q → p?
Answer:
if a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class
Step-by-step explanation:
11. The shadow of a 10 m high pole is 6 metres. Find
the shadow of a 15 m high pole at the same time
of the day.
Answer:
25m
Step-by-step explanation:
10/6 = length of shadow per metre of pole
so 15 x 10/6 = shadow of 15m high pole
150/6 = 25m
Point S is on line segment RT. Given ST = 3x
= 3x – 8, RT = 4x, and
RS = 4x 7, determine the numerical length of RT.
Answer:
RT = 20
Step-by-step explanation:
Given that,
Point S lies on the line segment RT.
We have, ST = 3x-8, RT = 4x and RS = 4x-7
It is clear that, RT = RS+ST
Putting the values, we get :
4x = 4x-7 + 3x-8
Taking like terms together,
4x-4x-3x = -7-8
-3x = -15
x = 5
Put the value of x in RT = 4x.
So,
RT = 4(5)
RT = 20
Hence, length of RT = 20.
Simplify. 4+5(8−10)2 Enter your answer in the box.
Answer:
-16
Step-by-step explanation:
4 + 5(8-10)2
4 + 5(-2)2
4 + 10(-2)
4 - 20
-16
The answer is: 24
I assume this is a question from k12
4 + 5(8 - 10)^2
4 + 5(-2)^2
4 + 5(4)
4 + 20
= 24
Hope this helps ^^
What number is 0.1 less than 173.89
Answer:
173.79
Step-by-step explanation:
173.89 - 0.1 you move to the decimals place then remove that number once
The number 173.79 is 0.1 less than 173.89
What is Equation?Two or more expressions with an Equal sign is called as Equation.
We need to find how less is 0.1 than 173.89
In words zero point one is less than One hundred seventy three point eight nine.
To find this we have to use subtraction operator or difference.
Subtraction is an operation that represents removal of objects from a collection
Subtract 0.1 from 173.89
173.89-0.1
We get 173.79
Hence, the number 173.79 is 0.1 less than 173.89
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Point a is at (2,-8) and point c is at (-4,7). Find the coordinates of point b on ac such that the ratio of ab to bc is 2:1
Answer:(-2,2)
Step-by-step explanation:
The price-demand equation for gasoline is 0.3d + 4p = 80, where p is the price per gallon in dollars and d is the daily demand measured in millions of gallons. Write the demand d as a function of price What is the demand if the price is $ 8 per gallon?
Answer:
The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
The demand if the price is $ 8 per gallon is 160 millions of gallons.
Step-by-step explanation:
You know that the price-demand equation for gasoline is 0.3d + 4p = 80
To write demand d as a function of price p, you must solve for or isolate demand d, remembering that:
All the terms that are multiplying on one side, go to the other side of the equality by dividing, and those that are dividing go to the other side of the equality by multiplying. The terms that are adding go to the other side of the equality by subtracting and those that are subtracting go to the other side by adding.So:
0.3d + 4p = 80
0.3d = 80 - 4p
[tex]d=\frac{80 - 4p}{0.3}[/tex]
[tex]d=\frac{80}{0.3} -\frac{4p}{0.3}[/tex]
[tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
The demand d as a function of price is [tex]d=\frac{800}{3} -\frac{40p}{3}[/tex]
To determine how much is the quantity demanded if the price is $ 8 per gallon, you simply plug that value into the previously determined expression and perform the corresponding calculations:
[tex]d=\frac{800}{3} -\frac{40*8}{3}[/tex]
[tex]d=\frac{800}{3} -\frac{320}{3}[/tex]
d= 160
The demand if the price is $ 8 per gallon is 160 millions of gallons.
Help me please because of the points
Answer:
C
Step-by-step explanation:
Because the dolphin increases his elevation, the amount he increases is added to the original elevation to get the second elevation.
Therefore:
-16 3/4 + 5x = -5 1/4
This option is not in the options but if we rearrange the left side from
- 16 3/4 + 5x
to:
5x - 16 3/4
We get the last option C.
Hope this helped!
(HELP) The point (- 8, - 2) is on the parent graph below. Where will it be on the transformed graph?
Answer:
x=[tex]\frac{y2 }{9}[/tex]
Step-by-step explanation:
2nd step: [tex]3\sqrt{x}=y[/tex]
third step: [tex]\frac{3\sqrt{x} }{3} = \frac{y}{3}[/tex]
fourth step: [tex]\sqrt{x} =\frac{y}{3}[/tex]
answer: x=[tex]\frac{y2 }{9}[/tex]
please help me on this
A balloon is flcating 10 feet above the ground. How
far does the balloon need to drop to reach the
ground?
Answer:
10 feet
Step-by-step explanation:
if it is 10 feet above and needs to touch the ground it needs to drop that same amount
Answer:
10ft.
Step-by-step explanation:
if the balloon is floating 10ft from the ground the it can only drop 10ft to reach the ground.
*hope this helps. please give me brainliest, i only need four more *
Why is 4 + (-3) equal to 1?
Step-by-step explanation:
4+(-3)=1
because when you open brackets + and - will be -, so 4-3=1
4.56 natural numbers or a whole numbers integers rational numbers Irrational numbers or real numbers
Answer:
it is rational number
Step-by-step explanation:
Decimals are not natural and whole numbers.
irrational numbers cannot be expressed by fraction but this question can be experssed by decimal so it is rational number not irrational
hope u like it ❤❤❤
For any question comment me
How to eat hotdog thank you
Answer:
1.Toast your hot dog bun if you like.
2.Grab pan with little bit of water
4.Place hotdog and cook until chang color on both sides
5. Place a cooked hot dog inside the bun.
6.Add sauces.
6.Put on chunky condiments next.
7.Top it with cheese if you like.
8.Finish the dog with your favorite spices.
9. Put the assembled hot dog on a plate.
10.Serve your favorite snacks on the side.
If I have a 10 ft PVC pipe,how many 11/5 cuts could I make out of it?
Answer:
80
Step-by-step explanation: