Answer:
The maximum height that the football reached = 5.4 yards (16.2 feet)
Step-by-step explanation:
The initial location of the ball = 15 yard line
The final location of the ball = 35 yard line
The equation of the ball's motion can be modeled as follows;
y = -0.054·(x - h)·(x - k)
Where;
h and k are the x-intercepts which are the points where the ball lands or where the ball is in contact with the ground
Given that the kicker kicks the ball from the ground on the 15 yard line and the ball lands on the ground at the 35 yard line, we can write
h = 15 yard line
k = 35 yard line
Therefore;
y = -0.054·(x - 15)·(x - 35) = -0.054·x² + 2.7·x-28.35
The maximum height is found by differentiating the function with respect to x and equating the result to 0 as follows;
d(-0.054·x² + 2.7·x-28.35)/dx = 2.7 - 0.108·x = 0
x = 2.7/0.108 = 25
Therefor, at the maximum point, we have;
x = 25
∴ y = -0.054·(25 - 15)·(25 - 35) = -0.054×10×(-10) = 5.4
The maximum height that the football reached = 5.4 yards = 16.2 feet.
can someone please help
Explanation:
The rule [tex](x,y) \to (-x,y)[/tex] has us flip the sign of the x coordinate from positive to negative (or vice versa). This applies a reflection over the y axis. For example, the point (5,6) moves to (-5,6).
Currently this shape is in quadrant 1. The quadrants start in the top right corner, and you move counterclockwise going to quadrants 2,3, and 4. Quadrant 2 is to the left of quadrant 1, and this is where all of the points end up after applying a reflection over the y axis.
Change the repeating decimal to a fraction:
0.376376376...
Let x = 0.376376376...
Then 1000x = 376.376376376...
So we have
1000x - x = 376.376376376... - 0.376376376...
999x = 376
x = 376/999
A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 3x+4 and from station B to C is 6x-4.
Answer:
-3x + 8
Step-by-step explanation:
The railroad track moves in a straight path from station A to station B and then from station B to station C.
Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:
AC = AB + BC
Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:
AC = 3x + 4 and BC = 6x - 4.
Using the line segment addition postulate:
AC = AB + BC
3x + 4 = AB + (6x - 4)
AB = 3x + 4 - (6x - 4)
AB = 3x + 4 - 6x + 4
AB = 3x - 6x + 4 + 4
AB = -3x + 8
A pool charges a membership fee of $40 for the summer and $1 for each visit. A different pool charges no membership fee but it costs $5 for each visit. How many visits would the two pools cost the same amount? A)40 visits B)10 visits C)5 visits D)they'll never cost the same amount
Answer:
B) 10 visits
Step-by-step explanation:
Let the number of visits be x.
Pool A cost: 1x + 40 = x + 40
Pool B cost: 5x
Set the two costs equal and solve for x.
x + 40 = 5x
Subtract 5x from both sides. Subtract 40 from both sides.
-4x = -40
Divide both sides by -4.
x = 10
Answer: B) 10 visits
What is the 7th term of this sequence? 5,15,45,135
Answer:
The 7th term of the geometric sequence 5, 15, 45, 135... is 3,645. a7 = 5 • 3^(7-1); a7 = 5 • 729; a7 = 3645
Step-by-step explanation:
sorry if it becomes wrong answer
Answer:
3645Step-by-step explanation:
the sequence has a rule of n*3
5*3=15
15*3=45
45*3=135
135*3=405
405*3=1215
1215*3=3645
Given the function : f(x) = -3x + 2, what is f (2)?
Answer:
-4
Step-by-step explanation:
f(2)=-3x+2
Write the integer that represents $32 withdraw.
Answer: -32
You are taking away from "withdrawal"
f(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)
Find f(g(x))
Answer:
F(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)
f(g(x))= √[{√(x-2)²+3}]
=√[{x-2+3}]
√(x+1)
Step-by-step explanation:
So um I need help and plz explain it
What's (2×2)÷2=???????????????????????
Answer:
2
Step-by-step explanation:
2×2=4
4÷2=2
Answer:
2
Step-by-step explanation:
2 x 2 = 4
4 / 2 = 2
the answer is 2
1) What percentage of 48 is 62?
Answer:
77.42
Step-by-step explanation:
48/62=77.42
If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?
Answer:
40° or 100°.
Step-by-step explanation:
If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.
angle ABC measures 100 degrees.
To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.
In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.
Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.
Therefore, we can calculate angle ABC as follows:
m ∠ ABC = m ∠ ABD + m ∠ CBD
m ∠ ABC = 70° + 30°
m ∠ ABC = 100 degrees
Thus, angle ABC measures 100 degrees.
Learn more about angle here
https://brainly.com/question/24384938
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What is the probability of choosing a number from 1 to 10 that is greater than 5 or even?
Answer:
3/10 or 30%
Step-by-step explanation:
The longest, yet easiest way to do this is to find all possible numbers that fit this scenario
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Even Numbers: 2, 4, 6, 8, 10
Greater Than 5: 5, 6, 7, 8, 9, 10
Now find common numbers in both categories
6,8, and 10
meaning the probability is 3/10 or 30%
need help 20x = 340
Answer:
17
Step-by-step explanation:
divide 20 from both sides to get x=17
answer : x= 17
20x17=340
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
x^2 = 64
√x² = √64
x = 8, -8
answer is B
A family buys b boxes of frozen waffles each containing w waffles. Each week the family eats x waffles. Write an equation in terms b,w,x that represents the number of remaining waffles r, after 2 weeks
Answer:
r=b(w)-2x
Step-by-step explanation:
were solving for r so that is our end variable
sense we dont know how many boxes there are we just put b in the equation by itself, multiplying it with w since that represent the total number of waffles
b(w)
Ex: they buy 2 boxes and each box contains 24 waffles
b=2 and w=waffles
it then says each week they eat x amount of waffles, meaning its the same number for every week allowing us to multiply it with the number of weeks.
2x
Ex: say the family eats 10 waffles per week week, meaning x=10, well the we just multiply the 10 by the number of weeks
Answer: r = b(w) - 2x
The number of remaining waffles r, after 2 weeks is r=bw-2x.
Given that, a family buys b boxes of frozen waffles each containing w waffles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The number of remaining waffles r, after 2 weeks.
Number waffles = Number of boxes × Number of waffles in each box
= b × w
= bw
Now, number of waffles left after 2 weeks = 2x
So, equation is r=bw-2x
Therefore, the number of remaining waffles r, after 2 weeks is r=bw-2x.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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what is the quotient and the remainder of 3,383 divided by 8?
Quotient: 422
Remainder: 75
Answer: 422.75
Look at the table showing prices of orange juice.
Prices of Orange Juice
Pint (16 oz)
Quart (32 oz)
Half-Gallon (64 oz)
Gallon (128 oz)
$1.28
$1.92
$4.48
$11.52
Which is the best value for buying orange juice?
pint
quart
half-gallon
gallon
Answer:
B quart
Step-by-step explanation:
Answer:
the answer will be B quart
Step-by-step explanation:
The quotient of x and 4
Answer:
x/4
x divided by 4
-0.2(-67+22)=2(7n 3)-8n =?
What is the domain of the function below? A.{1.5,2,3.5,4,9} B.{.25,.5,1.5,3,4.25}
C. .25< y<4.25
D. 1.5
Answer:it’s c
Step-by-step explanation:
Write an absolute value expression to represent the distance between -2 and 4 on an number line. Then evaluate the expression.
Answer:
|-2| + |4|
= 6
Step-by-step explanation:
The absolute value is the distance from zero on the number line, so you would use the expression above to get the answer, 6
Hope this helps!
HELP ASAP!!!!
32 + (12/3)2 * 2-5
what value of x would make AOB a line in the following figure if, angle AOC = 4x & angle BOC = 6x + 30° ?
Answer:
15
Step-by-step explanation:
6x+30+4x=180
10x+30=180
10x=180-30
10x=150
x=15
Each expression with the appropiate property:
Answer:
It is the Commutative property.
Step-by-step explanation: The word commutative comes from the word "move around" in this case all the numbers did was switch positions. Another example; 2+3=3+2 that is commutative property because the numbers were moved. Much similar to your problem
Help please! I have to finish this by today.
14.025, 40/3, square root 170, 14%
Calculator, the end
Answer: Answers
Step-by-step explanation:
The first option
Multiply the complex numbers (5 − 3i) and (9 + 2i).
how do you solve 1-(6-3)
Answer:
-2
Step-by-step explanation:
1-(6-3)
multiply the negative into the bracket so it becomes
= 1-6+3
= -2
Given f(x) = 2x + 5, find x when f(x) = 45
Step-by-step explanation:
f(x) = 2x + 5 = 45
2x + 5 = 45
2x = 45 - 5
2x = 40
x = 20
Answer:
f(x) = 2x + 5 = 45
2x + 5 = 45
5-25=2x
40=2x
x = 20
What is the correct answer?
Answer:
C
Step-by-step explanation:
c