Answer:
A. The function that gives the height of the bowling ball after t seconds is [tex]h(t) = 50-16.087\cdot t^{2}\,\,\,[ft][/tex].
B. The height of the bowling ball after 1 second is 33.913 feet.
C. The bowling ball will take approximately 1.763 seconds to hit the ground.
Step-by-step explanation:
A. From Physics we notice that ball experiments a free-fall, which is an uniform accelerated motion due to gravity and where air friction and effects of the Earth's rotation are neglected. The height of the ball is described by the following kinematic equation:
[tex]h(t) = h_{o}+v_{o}\cdot t +\frac{1}{2}\cdot g \cdot t^{2}[/tex] (1)
Where:
[tex]h_{o}[/tex] - Initial height of the ball, measured in feet.
[tex]v_{o}[/tex] - Initial velocity of the ball, measured in feet per second.
[tex]t[/tex] - Time, measured in seconds.
[tex]g[/tex] - Gravitational acceleration, measured in feet per square second.
If we know that [tex]h_{o} = 50\,ft[/tex], [tex]v_{o} = 0\,\frac{ft}{s}[/tex] and [tex]g = -32.174\,\frac{ft}{s^{2}}[/tex], then the function that gives the height of the bowling ball after t seconds is:
[tex]h(t) = 50-16.087\cdot t^{2}\,\,\,[ft][/tex] (2)
The function that gives the height of the bowling ball after t seconds is [tex]h(t) = 50-16.087\cdot t^{2}\,\,\,[ft][/tex].
B. If we know that [tex]t = 1\,s[/tex], then the height of the bowling ball is:
[tex]h(1) = 50-16.087\cdot (1)^{2}[/tex]
[tex]h(1) = 33.913\,ft[/tex]
The height of the bowling ball after 1 second is 33.913 feet.
C. The bowling ball hits the ground when height is zero. Let equalize (1) to zero and solve the resulting expression:
[tex]50-16.087\cdot t^{2} = 0[/tex]
[tex]16.087\cdot t^{2} = 50[/tex]
[tex]t \approx 1.763\,s[/tex]
The bowling ball will take approximately 1.763 seconds to hit the ground.
#4: STEM While resting, a human takes in about 5 liters of air In 30 seconds. At this rate, how many liters of air does he take in during 150 seconds?
Original Ratio Final Equivalent Ratio Meaning:
Answer:
25
Step-by-step explanation:
divide 150 by 30 to find how many times 30 goes into 150. Your answer should be 5. Then times 5 by 5 to get 25. a resting human can take in 25 liters of air in 150 seconds.
hope this helps :3
if it did pls mark brainliest
what decimal is halfway between 2.7 and 2.8?
Answer:
2.75
Step-by-step explanation:
The decimal is halfway between 2.7 and 2.8 is 2.75
How can we express numbers belonging to decimal numeral system?Suppose that the number is abcd.efg and belongs to the decimal numerical system.
Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.
Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.
Thus, we write abcd.efg as:
[tex]a \times 10^3 + b \times 10^2 + c \times 10^1 + d \times 10^{0} + e \times 10^{-1} + f \times 10^{-2} + g \times 10^{-3}[/tex]
We will call d as ones digit, c as tens digit (it get multiplied by 10), b as hundreds digit etc.
We call e as digit at 10th place (division by 10), f as digit at hundredth place and so on.
Given;
Two decimal numbers; 2.7 and 2.8
Mid point=a+b/2
=2.7+2.8/2
=5.5/2
=2.75
Therefore, the mid value in decimal will be 2.75
Learn more about decimal here:
https://brainly.com/question/17983725
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There are 16 girls and 20 boys in school band what is the ratio of girls to boys in simplest form
Answer:
4/5
Step-by-step explanation:
Since we know that the first ratio that we have is 16:20, all you have to do is simplify by dividing and you get 4/5.
There you go.
Suppose you buy 5 pounds of strawberries for $12.50. Which amount would you pay for 7 pounds of strawberries?
Answer:
$17.5
Step-by-step explanation:
12.50/5=2.5
2.5(7)=17.5
PLEASE SOMEBODY HELP ASAP RIGHT ANSWERS ONLY!
You buy .90 pounds of carrots to serve to 4 people. How much will each person get if the carrots are split into four equal portions?
Answer:0.225
Step-by-step explanation:
.90 divided by 4
the roots of the equation x^2+px+q=0 are -1 and 3. what is the value of q?
Answer:
3
Step-by-step explanation:
describe the process
Answer:
x = 1
y = 10
Step-by-step explanation:
5x + y = 15
Step 1: Move 5x on the other side by subtracting it from both sides
y = 15 - 5x
2x + y = 12
Step 2: Move 2x on the other side by subtracting it from both sides
y = 12 - 2x
Since y = y, that means 15 - 5x = 12 - 2x
Step 3: Add 5x to both sides
15 = 12 + 3x
Step 4: Subtract 12 from both sides
3 = 3x
Step 5: Divide both sides by 3
x = 1
y = 12 - 2x
Step 6: Plug in 1 for x
y = 12 - 2(1)
Step 7: Multiply 2 by 1
y = 12 - 2
Step 8: Subtract 2 from 12
y = 10
The sixth grade class has 18 boys and 24 girls. The teacher wants to divide them into groups that have the same number of boys and the same number of girls. What is the greatest possible number of the groups the teacher can make
Answer:
The teacher can make 7 groups of 6 students
Step-by-step explanation:
24+18= 42. The biggest number you can use to divide and get a real number is 7.
PLEASE ANSWER THIS ASAP !!! ( turn sideways)
Answer:
C. y = -x
Step-by-step explanation:
the slope is -1 so in the formula y= mx + b
b is 0 and m is -1
so plug it in and you get y = -x
Which interval is the solution set to 0.35x-4.8<5.2-0.9x?
Answer:
B. (–∞, 8)Step-by-step explanation:
Simplifying
0.35x + -4.8 < 5.2 + -0.9x
Reorder the terms:
-4.8 + 0.35x < 5.2 + -0.9x
Solving
-4.8 + 0.35x < 5.2 + -0.9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '0.9x' to each side of the equation.
-4.8 + 0.35x + 0.9x < 5.2 + -0.9x + 0.9x
Combine like terms: 0.35x + 0.9x < 1.25x
-4.8 + 1.25x < 5.2 + -0.9x + 0.9x
Combine like terms: -0.9x + 0.9x < 0.0
-4.8 + 1.25x < 5.2 + 0.0
-4.8 + 1.25x < 5.2
Add '4.8' to each side of the equation.
-4.8 + 4.8 + 1.25x < 5.2 + 4.8
Combine like terms: -4.8 + 4.8 < 0.0
0.0 + 1.25x < 5.2 + 4.8
1.25x < 5.2 + 4.8
Combine like terms: 5.2 + 4.8 < 10
1.25x < 10
Divide each side by '1.25'.
x < 8
Simplifying
x < 8
Write and equivalent addition expression to 25 - 8.
Answer:
gt
Step-by-step explanation:
Answer:
Step-by-step explanation:
25 - 8 is 17
so you just need to come up with an expression that equals 16 like 4x4 +1 or 8 +9
Solve the equation
6-x-x = 18
a: -6
b: 6
c: 9
d: -9
Answer:
x = -6
I hope this helps!
Miranda is 6 years older than her brother. The sum of their age is 20. What is
Miranda's age? (Extra credit: what is her brother's age?)
Answer:
she is 13
Step-by-step explanation:
her brother is 7.
13+7=20
Answer
miranda is 13 and her brother is 7
Step-by-step explanation:
PLEASE I will be your best friend lol just please help me !!! 10 points
factor the polynomial: -x^3-2x^2-3x
Answer: I believe your answer is
-x(1^3+2x+3)
Step-by-step explanation:
In a basketball game, Tamara made 16 out of 20 shots from the free throw line. What percent of her shots did she make?
Help plz I need this to get to my break
Answer:
1.2 + 3.43= 4.63
Step-by-step explanation:
Answer:
4.63
Step-by-step explanation:
1.20 + 3.43
.20 + .43 = .63
1 + 3 = 4
simplify by prime factorization 15/27
[tex]⟹ \: \cancel \frac{15}{27} = (3 \times 3 \times 3 \times 3 \times 3 ) \: (9 \times 9 \times 9)[/tex]
[tex] ⟹ \cancel \frac{15}{27} = 5(3) \times 9(3)[/tex]
[tex]⟹ \cancel \frac{15}{27} = \frac{5}{9} [/tex]
Therefore, when 15/27 is factorise using the method of prime factorization we'll get 5/9.
I HAVE 5 MIN TO TURN THIS IN!!!!!!!!!!
Combine like terms
4-5-2x-4y+4-5x+7y
Answer:
-7x+3y+3
Step-by-step explanation:
7y-4y
-5x-2x
4+4-5
Answer:
3y -7x + 3Step-by-step explanation:
4 - 5 - 2x - 4y + 4 - 5x + 7y-4y + 7y - 2x - 5x + 4 - 5 + 43y -7x + 3anyone know the answer for this?
Answer:
imma say the third on
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
Since 2 is the common factor, 2 goes into 4, 2 times; 2 goes into 6, 3 times
what is pi minus pi plus pi divided by pi x 25.9. WILL MARK BRAINLIEST
Answer:
25.9
Step-by-step explanation:
25.9
pi-pi+pi/pi is 0+(1*25.9) which is 25.9
Hope this helps :D
Joey has two pieces of wood. One is 120 inches and the other one is 210 inches long. He wants to cut both the pieces into smaller parts so that all these parts are of the same length.
i) If he wants the smallest pieces to be as long as possible without having any leftover, how long should each piece be?
Ans:
ii) How many smaller pieces of wood will he have in total?
Ans:
Answer:
A. 30 inches
B. 11 pieces
Step-by-step explanation:
Piece 1 = 120 inches
Piece 2 = 210 inches
1. He wants the smallest pieces to be as long as possible without having any leftover, how long should each piece be?
Find the highest common factor of 120 and 210
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210.
The highest common factor of 120 and 210 = 30
Therefore, the smallest and longest pieces should be cut into 30 inches each
B. Total Smaller pieces of wood = piece 1 / 30 + piece 2 / 30
= 120/30 + 210/30
= 4 + 7
= 11 pieces
What is the answer to this: f(x) = -1/3x -6
Answer:
x=0
x=1
The table already give us a hint, which is a set of values that are telling us what is the value of every function f(x) and g(x) for a given value for 'x' variable.
From the table we know that f(x) decreases when x>0 and goes in the other direction when x<0.
g(x) goes on a different direction, when x>0, it gets bigger, and when x<0, the function decreases.
So the two functions do not have too much space for being equal.
So, you can use the points given in the table to start your test.
f(0)= 0,25 ^ 0=1 since a number raised to 0 is always 0.
g(0)=-0.75 * 0 + 1 = 1
f(1)=0.25^1=0.25 since a number raised to 1 is always equals to itself
g(1)=-0.75*1+1=0.25
So f(x)=g(x), when x=1 and when x=0
10 points help me please
Answer:
charge your computer <3
Step-by-step explanation:
but put the dot on the 2 on the y-axis
Answer:
(0,2) and (-3,1)
Step-by-step explanation:
Can someone pls help me .. will mark brainliest !
Slope is -2/5
and (-15.-7) Is on the line.
What is Y?
Answer:
The y-intercept is 0,-13 or y is -13
Step-by-step explanation:
I don't belive that you should use the method I use, but here it is.
times -2/5 by -15 and get 6 since its a negative slope it goes down 6 since it is also going forward on the axis leading to -7 minus 6 and getting -13.
Brainliest!!! CORRECT and fast answers. :)
Answer:
A. 2 units left and 3 units up
Step-by-step explanation:
2 from x is taken away and thus shifts 2 to the left
3 is added to the eventual y value and thus shifts 3 upward
Please answer ASAP really need this!
What is 18.6÷ =0.02.
Answer:930
Step-by-step explanation:
Answer:
930
Step-by-step explanation:
WHAT ARE THESE NOTES
What is 200 plus 200 plus 1,000 plus 6,000 equal to?
After you add those number subtract 1,200
But what 6,000 plus 200 equal??
Answer:
200+200+1,000+6,000 = 7,400 - 1,200 = 6,200
6,000+200=6,200
Step-by-step explanation:
so 200 plus 200 equal to 400 plus 1,000 equal to 1,400 plus 6,000 equal to 7,400 and then 7,400 subtract by 1,200 equal to 6,200.
and 6,000 plus 200 equal to 6,200.
Hope this helps! :)
Answer:
Answer is 6,200
Step-by-step explanation:
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