Answer:
Step-by-step explanation:
Given the function f(x)=-16x^2+100x+5 to calculate how far the potato will be from the ground at any given second (x), the potato hits the ground when g(x) = 0
The function becomes'
0 =-16x^2+100x+5
-16x^2+100x+5 = 0
multiply through by minus
16x^2-100x-5 = 0
x = 100 ±√100²-4(16(-5))/2(16)
x = 100±√10000+320/32
x = 100±101.59/32
x = 100+101.59/32
x = 202.59/32
x = 6.299 secs
Hence the potato will hit the ground after 6.299secs
The time taken by potato to hit the ground is [tex]6.299[/tex] seconds.
The potato will be from the ground at any given second (x) is given by below function.
[tex]f(x)=-16x^2+100x+5[/tex]
To find the time taken by potato to hit the ground is , equate given function to zero.
[tex]f(x)=-16x^2+100x+5=0\\\\-16x^2+100x+5=0\\\\x=\frac{-100\pm\sqrt{(100)^{2}+4*16*5 } }{-16*2} \\\\x=\frac{-100\pm101.587 } {-32} \\\\x=6.299,x=-0.049[/tex]
Since, time can not be negative.
So that we will consider , [tex]x=6.299 s[/tex]
Hence, the time taken by potato to hit the ground is [tex]6.299[/tex] seconds.
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HELP NOW! A music club has 35 drum players. If 25% of the total number of members in the club are drum players, what is the total number of members in the club?
There's a way to think about it, in case you get other questions like this.
When you look at your problem, take out the 35. Out of the picture.
Look at 25%. 25% x 4 = 100% Meaning 4 is golden.
Then bring back the 35 and multiply it by 4. It gives you 140.
:)))) Use this mentallity on other question on percentages!
A hardware store sells power pack A, consisting of 4 D cells and 2 C cells for $12.60, and power pack B, consisting of 6 D cells and 4 C cells for $20.80. What is the price of each cell?
Answer:
The D cells are worth $2.20, and the C cells are worth $1.90.
Step-by-step explanation:
This can be written as:
4x + 2y = 12.60
6x + 4y =20.80
Our goal is to find one variable, then use that information to find the other.
If we multiply the top function by -1.5, we get:
-6x - 3y = -18.90
We can add this to the previous equation.
-6x - 3y = -18.90
+ 6x + 4y = 20.80
--------------------------
y = 1.90
The C cells are worth $1.90.
Plug this value into one of the other equations and solve for x.
4x + 2y = 12.60
4x + 2(1.90) = 12.60
4x + 3.80 = 12.60
4x = 8.80
x = 2.20
The D cells are worth $2.20.
Check these values in the other equation.
6x + 4y = 20.80
6(2.20) + 4(1.90) = 20.80
13.20 + 7.60 = 20.80
20.80 = 20.80
Answer:
C = $1.90 each
D = $2.20 each
Step-by-step explanation:
Given:
Power pack A: 4D + 2C = 12.60
Power pack B: 6D + 4C = 20.80
Isolate any one variable:
4D + 2C = 12.60
4D = 12.60 - 2C
D = 3.15 - 0.5C
Substitution to find cost of C cell battery:
6D + 4C = 20.80
6(3.15 - 0.5C) + 4C = 20.80
18.9 - 3C + 4C = 20.80
18.9 + C = 20.80
C = 1.90
Substitution to find cost of D cell battery:
4D + 2C = 12.60
4D + 2(1.90) = 12.60
4D + 3.8 = 12.60
4D = 8.8
D = 2.20
HELPPP ASAPPP 30 POINTS
John goes out to eat at a local restaurant. The bill comes to $47.83. John want to leave a 20% tip. How much of a tip should he leave? (use only numbers) $____
Answer:
Twenty percent of $47.83 is equal to $14.66
If you did 20% of 47.83, that would equal 9.566. So, now you need to take the 5, which is equal to 500 cents, and turn it into 5 dollars. (One hundred cents is a dollar so 500 cents , is 5 dollars.) now it’s 9 + 5. Easy, it’s 14. Now add back the 66, and it’s 14.66 dollars. So the answer is...
14.66
Hope this helps =3
Which arrangment shows 27/5,5 3/5, and 33/6 in order least to greatest
2 +2
6+6
794×890 ×572 ×89
e
Answer:
2+2=4
6+6= 12
794*890*572*89=33145180640
Step-by-step explanation:
Triangle similarity problem
Answer:
ST = 16
Step-by-step explanation:
The similar triangles are given as triangle PQR similar to triangle STU.
That makes sides PQ and ST corresponding sides. It also makes sides PR and SU corresponding sides. The ratios of the lengths of corresponding sides of similar triangles are equal.
[tex] \dfrac{ST}{PQ} = \dfrac{SU}{PR} [/tex]
[tex] \dfrac{5x + 1}{36} = \dfrac{11x - 5}{63} [/tex]
Multiply both sides by 9.
[tex] \dfrac{5x + 1}{4} = \dfrac{11x - 5}{7} [/tex]
Cross multiply.
[tex] 7(5x + 1) = 4(11x - 5) [/tex]
Distribute on both sides.
35x + 7 = 44x - 20
Subtract 44x from both sides.
-9x + 7 = -20
Subtract 7 from both sides.
-9x = -27
Divide both sides by -9.
x = 3
ST = 5x + 1 = 5(3) + 1 = 15 + 1 = 16
Answer: ST = 16
Write the equation in slope-intercept form. 4x+3y=18
Question 7 options:
y=43x+6
y=−34x+184
y=−43x+6
y=4x+6
Answer:
y = -4/3x + 6
Step-by-step explanation:
1. 3y - 4x + 3y = 18 - 3y
2. 4x = -3y + 18
3. 18 - 4x = -3y + 18 - 18
4. -3/ -3y = 4x - 18 /3
5. y = -4/3x + 6
Anyone help me please
Answer:
2
Step-by-step explanation:
Multiply 3 by the exponets and then times those fractions :)))))
Change this into decimal step by step plz
Answer:
2.6
Step-by-step explanation:
3/5 ---> ?/100
100/5 ---> 20
3 20 60
-- x = -------
5 20 100
60/100 = 6/10
6/10 as a decimal is 0.6
2 + 0.6
= 2.6
Hope this helps!!
PLEASE HELP ME WITH GEOMETRY SO I DON"T HAVE TO TAKE THE FINAL!!!!
-6 + 2x = -10 what is x
Answer:
x = -2
Step-by-step explanation:
-6 + 2x = -10
+6 +6
2x = -4
Divide both sides by 2
x = -2
I hope this was helpful! <3
Could I get brainliest?
Which number line best represents the solutions to 7 < -2x + 3?
Answer:
we need a number line for this question...
Step-by-step explanation:
Answer:
x< -2
Step-by-step explanation:
(9+5)t pls help meee
Answer:
14t
Step-by-step explanation:
the answer is 14t hope this helps
Calculus application
1. Supposed that a ball is dropped from the upper observation deck of the Horizons 101 Tower 1., located
178 m above the ground. (a) What is the velocity of the ball after 5 sec? (b) How fast is the ball traveling
when it hits the ground?
Answer:
49m/s
59.07 m/s
Step-by-step explanation:
Given that :
Distance (s) = 178 m
Acceleration due to gravity (a) = g(downward) = 9.8m/s²
Velocity (V) after 5 seconds ;
The initial velocity (u) = 0
Using the relation :
v = u + at
Where ; t = Time = 5 seconds ; a = 9.8m/s²
v = 0 + 9.8(5)
v = 0 + 49
V = 49 m/s
Hence, velocity after 5 seconds = 49m/s
b) How fast is the ball traveling when it hits the ground?
V² = u² + 2as
Where s = height = 178m
V² = 0 + 2(9.8)(178)
V² = 0 + 3488.8
V² = 3488.8
V = √3488.8
V = 59.07 m/s
Solve the given system of equations utilizing either the substitution or addition method.
Answer:
x = − 6.3 , y = 2.6
Step-by-step explanation:
FIRST TO ACTUALLY HELP ME WITH THIS QUESTION GETS THE BRAINLIEST
Answer:
Just do 14+15 because the variables are equal.
Answer:
29 ehehehehe
Step-by-step explanation:
Check this for me guys and lmk!! ASAP thanksss
Answer:
Step-by-step explanation:
for the first division blank you would get 11/2 or 5 1/2 flip the second fraction and multiply
for the second one it would be 5/2 or 2 1/2
For the third one it would be 3. like i said flip the second fraction and multiply in order to divide correctly
Answer:
2 1/2 for oatmeal
3 for salad
Step-by-step explanation:
If each square in the grid has a side length of 8mm, what is the length and width of the rectangle?
PS: I NEED IT RIGHT NOW
Answer:the explanation hopes this helps!!!
Step-by-step explanation:
The question required attachment; however, follow the following steps to answer your question.
See Attachment
Considering the horizontal plane of the gird.
Count the number of the squares in that plane;
This gives 4
Multiply 4 by length of each side of a square;
A unit rate is a rate in which A one of the quantities is 1. B the quantities add up to 1. C both of the quantities are 1. D neither of the quantities is 1.
Answer: A. because it is the only one that makes sense, the unit rate is where the second quantity is one unit: etc. 1 minute=60 seconds1 hour=60 minutes (or) 3600 seconds1 day=24 hours (or) 1440 minutes.
Determine the integer value of n that satisfies the the equation.
4^n=16
3^n=1/81
Answer:
Step-by-step explanation:
[tex]4^{n} = 16 \\\\4^{n} = 4^2\\\\[/tex]
n = 2
2)
[tex]3^{n} =\frac{1}{81}\\\\ = \frac{1}{3^{4}}\\\\3^{n} = 3^{-4}[/tex]
n = -4
In the given figure, line m is parallel to line n, and line a is parallel to line b.
Answer:
vertical angles theorem
Corresponding angles are two or more angles that have similar properties. Thus they have equal measures.
The required prove is given in the explanation below:
Considering the given diagram, it can be observed that:
<1 ≅ <3 and <2 ≅ <4 (vertically opposite angle theorem)
Also,
<5 ≅ < 7 and <6 ≅ <8 (vertically opposite angle theorem)
m ⊥ n and a ⊥ b (given)
Thus,
<1 + <2 + <3 + <4 = [tex]360^{o}[/tex] (sum of angles at a point)
Also,
<5 + <6 + <7 + <8 = [tex]360^{o}[/tex] (sum of angles at a point)
Therefore,
<1 ≅ <7 (corresponding exterior angle property)
Therefore by corresponding exterior angle theorem, <1 ≅ <7.
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PLEASE HELP ME FIRST ANSWER GETS BRAINLIST AND ANSWER MY OTHERS PLEASE
Answer:
2. ad is the angle bisector of angle a
3. ad is perpendicular to bc
4. both are right angles as given
5. common
6. ASA congruence
A radioactive substance decays according to the formula
Q(t)=Q0eâkt where Q(t) denotes the amount of the substance present at time t (measured in years),
Q0 denotes the amount of the substance present initially, and k (a positive constant) is the decay constant.
(a) Find the half-life of the substance in terms of k.
(b) Suppose a radioactive substance decays according to the formula
Q(t)=15eâ0.0001438t
How long will it take for the substance to decay to half the original amount? (Round your answer to the nearest whole number.) yr
Answer:
[tex]t=4820 y[/tex]
Step-by-step explanation:
a) The half-life equation is given by:
[tex]t_{1/2}=\frac{ln(2)}{k}[/tex]
b) Using the decay equation we have:
[tex]Q(t)=15e^{-0.0001438t}[/tex]
we need to find t when [tex]Q(t)=\frac{Q_{0}}{2}[/tex]
[tex]7.5=15e^{-0.0001438t}[/tex]
[tex]0.5=e^{-0.0001438t}[/tex]
[tex]ln(0.5)=-0.0001438t[/tex]
[tex]t=\frac{ln(0.5)}{-0.0001438}[/tex]
[tex]t=4820 y[/tex]
Therefore, it will take 4820 years to decay to half the original amount.
I hope it helps you!
A watering can dispenses water at the rate of 0.20 gallon per minute. The original volume of water in the can was 8 gallons. Which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water?
{(7.8, 1), (7.6, 2), (7.4, 3)}
{(1, 7.8), (2, 7.6), (3, 7.4)}
{(8.0, 1), (7.8, 2), (7.6, 3)}
{(1, 8.0), (2, 7.8), (3, 7.6)}
Answer:
The answer is {(7.8, 1), (7.6, 2), (7.4,3)}
Step-by-step explanation:
The first minute, you would have to subtract 8 - 0.20
Answer:(7.8, 1), (7.6, 2), (7.4, 3)}
Step-by-step explanation:
The graph below shows a quadratic function f(x) and an absolute value function g(x)
Answer:
I believe it should be b and d
Step-by-step explanation:
hoped it helped :)
Part D
How are the signs of the coordinates of point A and point C related HURRY
Answer: They both are located at (2,3)
Step-by-step explanation:
The sign that A and C are related is that they both have the same distance from the y axis.
What are coordinates?a pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given that the coordinates A and C how are related now as we can see that both A and C are the same amount of distance by the y-axis.
This also can be seen by the coordination of A and C.
For more about coordinates
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Citing drastic differences between her school and the white school across the
street, Clark fought for for teachers. *
24x - 64x2 - 21x + 56
(3x2-4)(8x-14)
(8x2-7)(3x-8)
Osimilar scheduling
O pay equalization
(6x-8)(4x-7)
Answer:
the pay one
Step-by-step explanation:
i thinks sorry if i get it wrong
Answer: 3x-184
Step-by-step explanation:
first you subtract 24x-21x then you multply 64*2 then add 56 to the answer 0f 64*2
which of these is an example of typing at an average of 42 words per minute
PLEASE DON'T STEAL POINTS! the question gets marked as answered and ppl that actually can answer can't see it.
A mail man leaves home and rides his bike due east for two miles. He drops off a paper at a house. He then turns and travels for 1 mile on a street that is angled north from the first street by 35 degrees. He stops to rest. His pet bird escapes from home and flies directly to where he is resting. How far and in what direction does the bird fly?
Answer:
The bird flies 35 degrees north for about 3 to 4 miles
Answer:
Step-by-step explanation:
tan35 = x/2
tan35(2) = .9476 miles, due northeast.
you have two sides and a angle, i used tan to find the opposing side of the turn of the street, which was angled at 35 degrees.
A total of 4.4 ml of medication is in a vial. An injection of 1.125 ml is withdrawn into a
syringe. How much remains in the vial?
Answer:
2.275
Step-by-step explanation:
4.4-1.175= 2.275