Answer:
a) s = -16[tex]t^{2}[/tex] + 192t + 96
b) Height of the football after 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Step-by-step explanation:
Given:
s = -16[tex]t^{2}[/tex] + [tex]V_{o}[/tex]t + [tex]s_{o}[/tex]
where: s is the height of the football above the ground, t is the time, [tex]V_{o}[/tex] is the initial velocity and [tex]s_{o}[/tex] is the initial height.
The height of the building = [tex]V_{o}[/tex] = 192 feet and the initial speed of the ball = [tex]s_{o}[/tex] = 96 feet per second, then;
s = -16[tex]t^{2}[/tex] + 192t + 96
a) The polynomial is given as:
s = -16[tex]t^{2}[/tex] + 192t + 96
b) The height of the football when t = 2 seconds is;
s = -16(2) + 192(2) + 96
= -32 + 384 + 96
= -32 + 480
s = 448
The height of the football when t = 2 seconds is 448 feet.
ii. The football would not hit the ground after 2 seconds.
Parallel and perpendicular line what do the following two equations represent? y-3=2(x-3)
y+5=2(x+1)
A) The same line
B) Distinct parallel lines
C) Perpendicular lines
D) Intersecting, but not perpendicular lines
Answer:
A or D
Step-by-step explanation:
What are the negative and positive coterminal angles of 240 degrees?
The negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.
What are coterminal angles?Two different angles that have identical starting and ending edges are termed coterminal angles however since one angle is measured clockwise and the other is determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.
We have to find the coterminal angles of 240 degrees
Coterminal angles are those whose initial and terminal sides coincide. Depending on whether the given angle is in degrees or radians, adding or subtracting 360° or 2 from each angle yields the coterminal angles. There are countless coterminal angles that can be discovered.
Thus, the negative and positive coterminal angles of 240 degrees will be -120 negative and 600 positive.
Learn more about the coterminal angles here:
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PLEASEEEEE HELPPPPPP ASAPPPPPPPP
9514 1404 393
Answer:
64r -48r -144
Step-by-step explanation:
The January cost expression is ...
62p -48p -144 -432 = profit
The cost is identified as having 3 components, so the profit will have 4 components:
(selling price)×p - ((cost per unit)×p +(fixed monthly cost)) -(first month startup cost) = profit
Comparing this to the given equation, we identify the components as ...
selling price = 62
cost per unit = 48
fixed monthly cost = 144
first month startup cost = 432
We note that 432 = 3×144, so is consistent with the description of startup costs.
Increasing the selling price by $2 will raise it from 62 to 64. In February, the initial month startup cost disappears, so the profit equation becomes ...
(selling price)×r - ((cost per unit)×r +(fixed monthly cost)) = profit
64r -48r -144 = profit
28 divided 3.5
help meh plz
Answer:
8
have a good day! :)
A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. The fuel gauge shows there and 15 litres left in the tank. How many more miles can the car travel before it runs out of petrol?
Answer:
Miles= 120
Step-by-step explanation:
Giving the following information:
A car can travel 480 miles on a full tank of petrol. The tank holds 60 liters.
First, we need to calculate the miles per liter:
Miles per litre= 480 / 60
Miles per litre= 8 miles
Now, the miles that can be driven with 15 liters:
Miles= 15*8
Miles= 120
4) Janet runs half a mile in 1/3 of an hour.
How many miles can she run in one hour?
How far can she run in 4 hours?
I
Answer:
5 miles
Step-by-step explanation:
Can someone plz help me with this????
Answer:
since we cant see what info is given maybe these tips can help...
the 'b' is also called the y-intercept, the y-int is what you start of with. Example, if your parents give you $20 and you spend $5 every week, your y-int is 20
The m is the slope, so if your parents give you $20 and you spend $5 every week, your slope is -5 because your money is decreasing at a linear rate
the x is the input, so if you want to know how much money you have 2 weeks after you got $20, you would substitute x with 2, and solve to get $10
6x + 1 = -6(1-x) please show work i need what is x
Answer:
Step-by-step explanation:
6x+1=-6(1-x)
6x+1=-6+6x
6x+7=6x
7=0
no solution
When Judy worked 4 hours and Ben worked 1 hour, their combined pay was $75. When Judy worked 2 hours and Ben worked 6 hours, their combined pay was $120. Find the hourly rate of pay for Ben and Judy.
Answer:
They each earn 15 an hour
Step-by-step explanation:
Answer:
They both make $15
Step-by-step explanation:
In the first scenario Judy worked for 4 hours, (4)*(15)=60 plus Ben, (1)*(15)=15 which equals 75. In the second scenario, Judy works 2 hours so (2)*(15)=30 and Ben works 6, (6)*(15)= 90 which is 120.
5 is not more than x
Answer:10
Step-by-step explanation: 5 + x is 10 because x is a verable
I really really need the answer to this NOW
Answer:
185 and 1/3
Step by step explanation
11/12 - (-10)- 5/6 please help
Answer:
121/12 is the answer your welcome
ANSWER QUICK FOR BRAINIEST: When using scientific notation, a positive exponent means . . . the standard number is less than one the negative sign doesn't have a meaning None of the above the standard number is greater than one
Answer:
The standard number is greater than one. Negative means it's going to be .xxx
Answer:
Ste scientific notation, a positivep-by-step explanation:
What is y+3=7(x-2) written in standard form?
Answer:
7x-y=17
Step-by-step explanation:
Answer:
7x-y=17
Step-by-step explanation:
Passed with 100%
Tak
1.
Set up, but do not solve, an equation to
determine the value of x in the diagram
below.
3x-35
4x+40
find the two square roots of 400
Answer:
20 and -20
20^2 = 400
(-20)^2=400 since two negative is positive
1)There are whole numbers that are not integers.
true or false
2)All rational numbers are whole numbers.
true or false
3)All integers are whole numbers.
true or false
4)All integers are rational numbers.
true or false
Answer:
1).false 2). false 3).true 4). true
Step-by-step explanation:
1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.
3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.
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[tex]
1) \: \: \: \: False[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]
2) \: \: \: \: False[/tex]
[tex]Exam)\frac{1}{2} \: \: is \: \: rational \: \: but \: \: it \: \: is \: \: not \: integer \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]
3) \: \: \: False[/tex]
[tex]Exam)- 1 \: \: is \: \: integer \: \: but \: \: it \: \: is \: \: not \: \: whole \: \: number \\ [/tex]
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[tex]4) \: \: \: \: True[/tex]
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Create a 5th degree trinomial that has a constant term of 3.
Answer:
[tex]2x^5+3x^2+3[/tex] is a trinomial having with:
three terms degree 5 and The constant term '3'Step-by-step explanation:
Considering the trinomial
[tex]2x^5+3x^2+3[/tex]
Any polynomial with 3 terms is a trinomial, so it is a trinomial.It is clear that '5' is the highest power of the 'x' variable. so, the polynomial has a degree of 5.
'3' is the constant term. The reason is that any term with no variable is called a 'constant' term. So, '3' is the constant term.
Therefore, [tex]2x^5+3x^2+3[/tex] is a trinomial having with:
three terms degree 5 and The constant term '3'simplify the square root of 272
Five different awards are to be given to three students. Each student will receive at least one award. In how many different ways can the awards be distributed?
Answer:
Two ways
Step-by-step explanation:
Blue is students and Yellow is the trophies.
Total number of different ways that the awards can be distributed is; 150 ways.
It is clear from the question that the awards and the students are different. Now, each student will receive at least one award.This means that the five different awards could be separated into;
3 + 1 + 1 awards or 2 + 2 + 1 awards.
Now, for one person to get 3 awards and the other 2 people to get one award each, the number of ways is calculated as;⁵C₃ × 3! = 60 ways
Now, for the case where one person is to get 1 award and the other 2 people to get two awards each, the number of ways is calculated as;((⁵C₂ × ³C₂)/2) × 3! = 90 ways
Thus; total number of ways the awards can be distributed = 60 + 90 = 150 ways.Read more at; https://brainly.com/question/20373683
the distance traveled by an object divided by the time in which the distance was traveled is called the__of an object
Answer:
speed (v)
Step-by-step explanation:
v = d/t
v = speed
d = distance travelled
t = time taken
A population of values has a normal distribution with μ = 245.3 and σ = 96 . You intend to draw a random sample of size n = 50 . Find the probability that a single randomly selected value is greater than 246.7. P(X > 246.7) = 0.0146 Incorrect Find the probability that a sample of size n = 50 is randomly selected with a mean greater than 246.7. P(M > 246.7) = Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
Answer:
0.4589
Step-by-step explanation:
We solve using z score formula
The z score formula for a random number of samples is:
z = (x-μ)/σ/√n, where x is the raw score, μ is the population mean, and σ is the population standard deviation
Hence:
z = 246.7 - 245.3/96/√50
z = 0.10312
Probability value from Z-Table:
P(x<246.7) = 0.54107
P(x>246.7) = 1 - P(x<246.7) = 0.45893
Approximately to 4 decimal places = 0.4589
The probability that a single randomly selected value is greater than 246.7 is 0.4589
On Friday Simon ate three tenths of a kg of cherries. On Saturday, he ate half of a kg of cherries. What amount of cherries are left now if he had one kg of cherries
Answer:
1/5 kgStep-by-step explanation:
Initial amount = 1 kgEaten on Friday = 3/10 kgEaten on Saturday = 1/2 kgAmount of cherries left:
1 - (3/10 + 1/2) = 1 - (3/10 + 5/10) = 1 - 8/10 = 2/10 = 1/5 kgHELP! Quickly! I need this ASAP
Answer:
y=10x+5
Step-by-step explanation:
y1-y2/x1-x2
5-15/0-1
-10/-1
10
The slope is 10
when the x is zero, y is 5 therefore 5 is the Y-intercept
y=10x+5
~PumpkinSpice1♥
if you answer this right I will give you Brainliest
What is 2+2
Answer:
fish
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Tai’s baby brother weighs 3,745 grams. What is his weight in kilograms?
A. 0.3745 kg
B. 3.745 kg
C. 37.45 kg
D. 374.5 kg
Which expression is equivalent to 6(3x + 4)?
1: 18x + 4
2: 18x + 24
3: 9x + 10
4: 9x + 4
Answer:
2. 18x + 24
Step-by-step explanation:
Distribute the 6 to create 18x + 24
good night everyone!!!
Answer:
Sleep well
Step-by-step explanation:
Thank u so much... And thk for the FREE POINTS... <3
Deion divided 1/2 of a liter of plant fertilizer evenly among some smaller bottles. He put 1/8 of a liter into each bottle. How many smaller bottles did Deion fill?
Answer:
4 bottles
Step-by-step explanation:
Given
[tex]Fertilizer = \frac{1}{2}L[/tex]
[tex]Bottles = \frac{1}{8}L[/tex]
Required
Determine the number of bottles
Represent the number of bottles with N
This implies that N bottles of [tex]\frac{1}{8}L[/tex] fit into [tex]\frac{1}{2}L[/tex] of fertilizer. The relationship between them is:
[tex]Fertilizer = Bottles * N[/tex]
[tex]\frac{1}{2}L = \frac{1}{8}L* N[/tex]
[tex]\frac{1}{2} = \frac{1}{8}* N[/tex]
Multiply through by 8
[tex]8 * \frac{1}{2} = 8 * \frac{1}{8}* N[/tex]
[tex]4 = 1* N[/tex]
[tex]4 = N[/tex]
[tex]N = 4[/tex]
Hence, there are N = 4
A local specialty store sells two brands of yogurt. Brand A is a fruit yogurt that comes in a 12-ounce container for $2.88. Brand B is a fruit yogurt that comes in a 16-ounce container for $4.48. Which one is a better buy: Brand A or Brand B?
Answer:
0.04
Step-by-step explanation:
Brand A:
so x is equal to 0.24
Brand B:
so x is equal to 0.28
Now the difference of cost would be Brand B - Brand A which would give you 0.04.