5.30085603 × 10-34 m2 kg / s
Answer:
5.30085603 × 10-34 m2 kg / s
Step-by-step explanation:
A ball is thrown into the air with an initial upward velocity of 48 feet/second. If height h in
feet after t seconds is given by the function h(t) = – 16t2 + 48t + 4.
a) What height will the ball be when 2 seconds has passed?
b) In how many seconds will the ball reach its maximum height?
c) What is the ball’s maximum height?
Answer:
Step-by-step explanation:
after 2 seconds the ball would be 96 feet in the air
in 9 seconds will it reach its max height
max height=136ft
i just put a 100 point question and offered to mark brainliest no one anwser me
Answer:
what is the question?
Step-by-step explanation:
H=-16t^2+122t+5 where h is height in feet and t is time in seconds. How long will it take the baseball to hit the ground? h=-16t^2+162t+0.2 where h is height in feet and t is time in seconds. How long will it take the golf ball to hit the ground?
Answer:
[tex]t= 7.67[/tex]
[tex]t= 10.13s[/tex]
Step-by-step explanation:
Solving (a):
[tex]H=-16t^2+122t+5[/tex]
Required: Time to hit the ground
This means that H = 0
So, we have:
[tex]0=-16t^2+122t+5[/tex]
Rewrite as:
[tex]16t^2-122t-5=0[/tex]
Solve for t using:
[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t= \frac{122 \± \sqrt{(-122)^2 - 4*16*-5}}{2*16}[/tex]
[tex]t= \frac{122 \± \sqrt{15204}}{2*16}[/tex]
[tex]t= \frac{122 \± 123.3}{32}[/tex]
Split:
[tex]t= \frac{122 + 123.3}{32}[/tex] or [tex]t= \frac{122 - 123.3}{32}[/tex]
[tex]t= \frac{245.3}{32}[/tex] or [tex]t= \frac{-1.3}{32}[/tex]
[tex]t= 7.67[/tex] or [tex]t= -0.0406[/tex]
Time can not be negative. so: [tex]t= 7.67[/tex]
Solving (b):
[tex]h=-16t^2+162t+0.2[/tex]
Required: Time to hit the ground
This means that h = 0
[tex]0=-16t^2+162t+0.2[/tex]
Rewrite as:
[tex]16t^2-162t-0.2= 0[/tex]
Solve for t using:
[tex]t= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]t= \frac{162 \± \sqrt{(-162)^2 - 4*16*-0.2}}{2*16}[/tex]
[tex]t= \frac{162 \± \sqrt{26256.8}}{32}[/tex]
[tex]t= \frac{162 \± 162.04}{32}[/tex]
[tex]t= \frac{162 + 162.04}{32}[/tex] or [tex]t= \frac{162 - 162.04}{32}[/tex]
[tex]t= \frac{324.04}{32}[/tex] or [tex]t= \frac{-0.04}{32}[/tex]
Time can not be negative. So:
[tex]t= \frac{324.04}{32}[/tex]
[tex]t= 10.13s[/tex]
y = 3(4-2) + 5.5
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Step-by-step explanation:
[tex]y = 3(4 - 2) + 5.5 \\ y = 3(2) + 5.5 \\ y = 11.5[/tex]
1.1
Consider the following pattern:
87; 84; 81 ...
1.1.1 Find an expression for the nth term of the
sequence
(3)
Answer:
The nth term of the arithmetic sequence is;
90 - 3n
Step-by-step explanation:
Here, we want to find an expression for the nth term of the sequence
Mathematically, let us determine the type of sequence
As we can see;
84 - 87 = 81-84 = -3
The difference between the terms is a constant; this means that the sequence is arithmetic
The nth term of an arithmetic sequence can be represented by;
Tn = a + (n-1)d
in this case, a is the first term of the sequence = 87
d is the common difference of the sequence = -3
The nth term is thus;
Tn = 87 + (n-1)-3
Tn = 87 - 3n + 3
Tn = 87 + 3 - 3n
Tn = 90 - 3n
A standard bathtub holds 70 gallons of water. On average, it takes 7 and 1/2 minutes to drain a bathtub. How many gallons of water go down the drain each minute?
Answer:
9[tex]\frac{1}{3}[/tex] gallons of water
Step-by-step explanation:
To find how many gallons of water go down each minute, divide the total number of gallons of water by the number of minutes it takes to drain:
70/7.5
= 9[tex]\frac{1}{3}[/tex]
So, 9[tex]\frac{1}{3}[/tex] gallons of water go down the drain each minute
Answer:
9 1/3 gallons go down the tub
Step-by-step explanation:
WILL GIVE BRAINLIEST!
A soil supplement that weighs 16 lb contains iron, potassium, and mulch. The supplement contains thirteen times as much mulch as iron and twice as much potassium as iron. Find the amount of mulch in the soil supplement. lb
Answer:
The answer is below
Step-by-step explanation:
Let x represent the amount of iron, y represent the amount of potassium and z represent the amount of mulch.
Since the supplement weighs 16 lb, hence:
x + y + z = 16 (1)
Also supplement contains thirteen times as much mulch as iron. Therefore:
x = 13z
x - 13z = 0 (2)
The supplement also has twice as much potassium as iron, hence:
x = 2y
x - 2y = 0 (3)
solving equations 1, 2 and 3 simultaneously gives:
x = 10.1 lb, y = 5.1 lb, z = 0.8 lb
This means that the soil supplement contains 0.8 lb of mulch
Given ADE with AD= 5 centimeters, BD= 3 centimeters and DE= 10 centimeters
What is the length of BC?
A. 6 2/3 cm
B. 5 cm
C. 4 cm
D. 6 cm
Answer:
BC is 4
Step-by-step explanation:
Use a proportion to solve
AB is 2 (AD is 5 and BD is 3- so 5-3)
[tex]\frac{2}{x} = \frac{5}{10}[/tex]
[tex]5x=20\\x=4[/tex]
17. Find the value of x. Round to the nearest degree. (2 points)
Answer:
x = 51°Step-by-step explanation:
Use sine:Sine = opposite __________ hypotenuse We have:Opposite = 7Hypotenuse = 9 Substitute: Sin x° = 7 ___ 9 Sin x° = 0.777....Sin x = 0.7778 = x = 51°identify 2 possible reasons for unemployment
Answer:
Pandemic, Loss In family
Step-by-step explanation:
The global pandemic has really hit small businesses and working Americans, which has caused millions of Americans to lose their jobs, but also small businesses to go out of business. Also during the pandemi, thousands of people have loved their loved ones to the pandemic, which can also lead to them not showing up to work, which could make the employed citize lose their job.
(Hope this helps)
Yours Truely, TheAnimeCatUwU
Write an equation of the perpendicular bisector of the segment with endpoints
(−1, −5) and (3, −1).
HELP!!
Answer:
Step-by-step explanation:
Midpoint of line segment = (1,-3)
Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2
Perpendicular bisector:
y+3 = ⅔(x-1)
y = ⅔x - 11/9
HELP ASAP
Classic Cars paid €9000 for a vintage Ferrari and sold for €11,250. What percentage profit did they make?
Answer:770000
Step-by-step explanation:
That how much they made
Answer:
€8988.75
Step-by-step My bad that's not the answer
URGENT: find the volume of the shapes
Answer:
First one should be 309 second one should be 624 I may be wrong though since I haven't done volume in years
Step-by-step explanation:
:)
Answer:
A is 381 for the whole thing
B is 792 i think i am not one hundred percent sure on this one but it should be right
Step-by-step explanation:
PLEASE HELP ITS URGENT!!!!!!
Answer:
LCD-3x(x+2)
Final answer- x2-4x+4/ 3x2+6x
Step-by-step explanation:
okay so LCD is 3*x*(x+2)
= 3x(x+2)
so multiyling the fist expresion by x+2 and the second by x we get
2x+4+ x2-6x/ 3x(x+2)
= so
x2-4x+4/3x(x+2)
x2-4x+4/ 3x2+6x
if my answer helps please mark as brainliest.
are the ratios 4:1 and 20:5 equivalent? and if they are how are they equivalent and if they aren't why aren't they equivalent??!!
Answer:
They are equivalent.
Step-by-step explanation:
Which set of measurements could not represent the side lengths of a right triangle?
A 16 ft, 30 ft, 34 ft
B 9 ft, 12 ft, 15 ft
C 7ft, 24 ft, 25 Ft
D 5ft. 7 ft, 12 ft
The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.
What is a right triangle?The right is a triangle with has one angle 90° and square of hypotenuse is equal to the sum of square of other two legs.
Given that, the set of measurements representing the side lengths of a right triangle,
We will check the measurements by seeing if they are following the Pythagoras theorem or not,
Option A)
16 ft, 30 ft, 34
16²+30² = 1156 = 34²
∴ 16²+30² = 34²
Option B)
9²+12² = 225 = 15²
9²+12² = 15²
Option C)
7²+24² = 625 = 25²
7²+24² = 25²
Option D)
5²+7² = 74 ≠ 12²
Since, 5ft. 7 ft, 12 ft set of measurements are not following the Pythagoras theorem.
Therefore, it's not a right triangle.
Hence, The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.
For more references on right triangle, click;
https://brainly.com/question/4364353
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what is the area of the box
Answer:
A=24 good sir/madam.
Step-by-step explanation:
4•6=24
How do I solve 3(x−9)=30
Answer:
x = 19
Step-by-step explanation:
use the distributive property
3(x - 9) = 30
3x - 27 = 30
+27 +27
3x = 57
divide by 3
x = 19
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Answer:
The value of x is 19.
Step-by-step explanation:
The steps are :
3(x- 9) = 30
3(x - 9) ÷ 3 = 30 ÷ 3 [eliminate 3 on left side]
x - 9 = 10
x - 9 + 9 = 10 + 9 [eliminate -9 on left side]
x = 19
Please help witch one is right
Answer: Ted
Step-by-step explanation:
Solve each system by substitution y=-2
5x + 2y = 16
Answer:
the answer is 4
Step-by-step explanation:
5x=16+4
5x=20
X=4
Please solve for x.
4^3x+1 = 4^5
Answer: x= 1023 /64
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
64x+1=1024
Step 2: Subtract 1 from both sides.
64x+1−1=1024−1
64x=1023
Step 3: Divide both sides by 64.
64x /64 = 1023 /64
x= 1023 /64
Answer:
1023/64
Step-by-step explanation:
4^3x+1=4^5
64x+1=4^5
64x+1-1=1024-1
64x=1023
64x/64}=1023/64
1023/64
Represente em uma reta numérica os conjuntos indicados abaixo (cada conjunto deve ser representado em uma reta numérica diferente). a) [1,2] [3, 17/2].
TURMA...
b) (-1, 1) U [1, +).
c) (-2, 3] n (3, 6).
d) [-3, -1) n -2, +0).
20 is 80 percent of what number?
Answer:
20 is 80 of 25
Explanation:
20x10/8=25
A percentage is a way to describe a part of a whole. 20 is 80% of 25.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the number be x. Therefore, we can write,
80% of x = 20
0.80 × x = 20
x = 20/0.8
x = 25
Hence, 20 is 80% of 25.
Learn more about Percentages:
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A cube. The top face has points A, G, E, F and the bottom face has points B, H, D, C. The diagonal from A to E is StartRoot 288 EndRoot inches and the diagonal from A to D is StartRoot 432 EndRoot inches.
What is the length of ED in the given cube? Round to the nearest tenth of an inch if necessary.
in.
Answer:
The answer to this question is 12 inches.
Step-by-step explanation:
This is because 288 + b^2 = 432. After further calculations you can conclude that b = 12.
Answer:
12 inches
Step-by-step explanation:
;)
PLS HELP I BEG YOU I WILL MARK YOU BRAINLIEST!
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Answer:
Width = 15 feet
Length = 45 feet
Step-by-step explanation:
You need to fence in a rectangular piece of land for your dog to run and play. The length is 3 times the width. If the perimeter is 120 ft, what are the dimensions of your very own dog park?
Perimeter of a rectangle = 2L + 2W
The length is 3 times the width.
L = Length = 3W
W = Width
P = 120 ft
Hence:
120 = 2L + 2W
120 = 2(3W) + 2W
120 = 6W + 2W
120 = 8W
W = 120/8
W = 15 feet
Solving for Length
L = 3W
L = 3 × 15 feet
L = 45 feet
Therefore, the dimensions of your very own dog park is
Width = 15 feet
Length = 45 feet
Determine the center and radius of the following circle equation: x² + y2 + 2x – 2y – 62 = 0
Step-by-step explanation:
x²+2x+y²-2y=62
using completing the square
x²+2x+1+y²-2y+1=62+1+1
(x+1)²+(y-1)²=64
(x+1)²+(y-1)²=8²
(x-a)²+(y-b)²=r²
by comparison
(a,b)=(-1,1)
a,b is the center of the circle
r=8unit
r is the radius
Which set of ordered pairs does not represent a function?
A\{(5, -1), (-3, -3), (8, 4), (4, -3)\}{(5,−1),(−3,−3),(8,4),(4,−3)}
B\{(-6, -7), (-3, -3), (-2, -8), (-6, 4)\}{(−6,−7),(−3,−3),(−2,−8),(−6,4)}
C\{(-2, 1), (-8, 0), (6, 7), (8, 7)\}{(−2,1),(−8,0),(6,7),(8,7)}
D\{(5, -3), (-6, 2), (-5, 3), (1, 2)\}{(5,−3),(−6,2),(−5,3),(1,2)}
Answer:
option B
Step-by-step explanation:
you cannot have one input and 2 outputs.
(-6,-7) and (-6,4), you have 2 Y for 1 X. therefore is not a fuction
What is 2431÷8 I need to know
Answer:
303.875
Step-by-step explanation:
[Will Give Brainliest, please help! ♥] The South Memorial School is designing a new playground. There will be a walkway that diagonally crosses the square playground. The walkway is 55 meters long.
I | Include a sketch of the playground and find the length of one side. Round your answer to the nearest 10th. (I've already completed the sketch, as you can see!)
II | Use your answer from Part I to find the perimeter of the playground. Round your answer to the nearest 10th. Show your work.
Helping me understand or giving me the answer would help me out a lot! THank you :]
Answer:
Perimeter = 155.6 m
Step-by-step explanation:
Notice from the diagram, that the 55 meters long diagonal is the hypotenuse of a right triangle who has equal legs. Then we can use Pythagoras to find the length of the equal legs of the square:
[tex]hyp^2 = leg_1^2 + leg_2^2\\55^2 = 2\,*\,leg^2\\3025=2*leg^2\\leg=\sqrt{\frac{3025}{2} } \\leg\approx 38.89 \,\,meters[/tex]
Therefore, the perimeter of the square playground is 4 times this value:
Perimeter = 38.89 m *4 = 155.56 m
Since they want the answer rounded to the nearest 10th, we write:
Perimeter = 155.6 m
Answer: I. 38.9 II. 155.6
Step-by-step explanation:
So we are working on 2 isosceles right triangles formed by the diagonal and two sides as it has two sides of the same length and two 45 degree angles. The two equal sides of an isosceles triangle are known as 'legs' whereas the third or unequal side is known as the 'hypotenuse'
The sides of isosceles right triangles have a peculiar relationship, 1:1:√2, and one way to find the sides is to use the "pattern formula," which only applies to these triangles:
Hypotenuse= Leg*√2
We don't know the answer to the legs yet, so we have to divide both sides by √2.
L= H/√t2= 1/2H*√2. Since our hypotenuse is 55:
L= 1/2*55*√2= (55*1)/2*√2= 27.5*√2
The square root of 2 is 1.414, so multiply:
27.5*1.414= 38.9 (the length of each side.)
If you want to simplify the equation a little more, here is another way of writing it;
sides length²*2=diagonal length².
Since we know each side length, all we have to do to find the perimeter of the square is to:
Perimeter = 4*side
155.6 = 4*38.9
Hope that can help!