Answer:
Step-by-step explanation:
3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of 20 feet per second. The height h in feet of the ball is given by h= –16t + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.
Answer:
Part A
1.5 seconds
Part B
By substitution and factorization because h = 0 at ground level
Step-by-step explanation:
Part A
The height from which the soccer player heads the ball, h = 6 feet
The initial velocity of the ball, v = 20 ft./s
The height of the ball in feet, h = -16·t² + 20·t + 6
From the given equation of the ball, we have;
At the initial height, t = 0, from the given equation, h = 6
At the ground level, the height, h = 0, therefore, we get;
0 = -16·t² + 20·t + 6
Factorizing using a graphing calculator gives;
0 = 2 × (-8·t² + 10·t + 3) = -2 × (8·t² - 10·t - 3) = -2 × (2·t -3)·(4·t + 1)
∴ (2·t -3)·(4·t + 1) = 0
t = 1.5 or t = -1/4 = -0.25
Therefore;
The time it takes the ball to hit the ground, t = 1.5 seconds.
Part B
The method used in solving the given quadratic equation is by plugging in the value of 'h' as h = 0 in the given equation and factorizing the result because at ground level, the height, h = 0.
Quadrilaterals ABCD and WXY Z are congruent.
B
A
X
Z
Which of the following sequences of transformations maps WXY Z onto ABCD
A set of symbols that expresses a mathematical rule is called a ___________.
Answer:
Formula! Have a nice day!
Answer:
yo bro it formula
Step-by-step explanation:
can i get brainiest if im right
PLEASE HELP ME ANSWER NEEDS TO HAVE AN EXPLANATION STEP BY STEP.
Step-by-step explanation:
As side of a square is a², so it will be
[tex]\tt{(\sqrt{2} - 3 \sqrt{5})^2}[/tex]
Refer to attachment, the answer is provided.
Hope it helps :)
The population of Leavetown is 123,000 and is decreasing at a rate of
2.375% each year. What will be the population of Leavetown after 5 years?
A pocket contains 2 pennies, 2 nickels, 1 quarter and 4 dimes. What is the probability of randomly choosing a dime two times in a row, if the first coin drawn is not replaced?
Answer:
1/6
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of choosing dimes twice = total number of dimes / total number of coins
At first pick = 4/9
because there is no replacement, dimes and total coins reduce by 1 and
second pick = 3/8
4/9 x 3/8 = 1/6
Charlene owns a bookstore. She purchases used books from customers. • She pays $3.50 for each hardback book. • She pays $0.75 for each paperback book. • Charlene pays a customer a total of $199.75 for 149 used books. Which system of equations could be used to determine the number of hardback books (x) and the number of paperback books (y) Charlene purchases from the customer?
Answer: Number of hardback = 32
Number of paperback = 117
Step-by-step explanation:
Let the number of hardback books be represented by x.
Let the number of paperback books be represented by y.
Based on the information given, we can form an equation which will be:
x + y = 149 ......... i
3.50x + 0.75y = 199.75 ...... ii
Multiply equation i by 3.50
Multiply equation ii by 1
3.50x + 3.50y = 521.50 ...... iii
3.50x + 0.75y = 199.75 .....iv
Subtract equation iv from iii
2.75y = 321.75
y = 321.75 / 2.75
y = 117
Number of paperback = 117
Since x + y = 149
x = 149 - y
x = 149 - 117
x = 32
Number of hardback = 32
Determine the lateral area and surface area of the given prism. Round answers to the nearest whole number.
Answer:
Lateral Area = Area of 2 triangle + Area of slant rectangle + area of back rectangle
Lateral Area = (5m)(3m) + (6m) (36m) + (3m) (36m)
LA = 15m² + 216m² + 108m²
LA = 339 m²
SA = (5m)(3m) + (6m) (36m) + (3m) (36m) + (5m)(36m)
SA = 15m² + 216m² + 108m² + 180 m²
SA = 519 m²
Is a trapezoid always a quadrilateral?
yes
no
Answer:
The correct answer is that all trapezoids are quadrilaterals. ... Trapezoids are four-sided polygons, so they are all quadrilaterals.
Step-by-step explanation:
hope it helped ( ◜‿◝ )♡
What is the coordinates of the focus for the following parabola -8(x-5)=(y+1)^2
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
How to locate the focus of a parabola
The standard equation of the parabola with an horizontal axis of symmetry is presented below:
[tex]x - h = \frac{1}{4\cdot p}\cdot (y - k)^{2}[/tex] (1)
Where:
h, k - Vertex of the parabola.p - Distance between the vertex and the focus.The coordinates of the focus is described by the following expression:
F(x, y) = (h + p, k)
If we know that h = 5, k = - 1 and p = - 2, then the coordinates of the focus are:
F(x, y) = (5 - 2, - 1)
F(x, y) = (3, - 1)
By definition of the focus of a parabola, the coordinates of the focus of the parabola - 8 · (x - 5) = (y + 1)² are represented by the point F(x, y) = (3, - 1). (Correct choice: A)
To learn more on parabolas: https://brainly.com/question/21685473
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!!!!!I NEED HELP ASAP!!!!!
1
What is the product оf (9)(-9. (-1)
-81
-1
1
81
Answer:
81
Step-by-step explanation:
(-81)(-1) = 81
please help and show work
Answer:
?
Step-by-step explanation:
find the mean of the following numbers 14,17,28,49
Answer:
27
Step-by-step explanation:
14 + 17 + 28 + 49 = 108
108 / 4 = 27
Please help! I will give brainliest!
Answer:
it's going to be c
Step-by-step explanation:
set a is an exponential function and the values increase at a faster rate than set B
Find the missing dimension of the prism (Pic Provided)
[tex]a - 2 + 5a[/tex]
Answer:
[tex]6a - 2[/tex]
Step-by-step explanation:
[tex]a - 2 + 5a[/tex]
[tex]6a - 2[/tex]
Hope it is helpful...A sweater normally cost $35 there is a 25% discount what is sale price of the sweater? Include the $
Answer:
Sale price= $26.25
Step-by-step explanation:
Giving the following information:
Selling price= $35
Discount rate= 25%
To calculate the sale price of the sweater, we need to use the following formula:
Sale price= selling price*(1 - discount rate)
Sale price= 35*(1 - 0.25)
Sale price= 35*0.75
Sale price= $26.25
I really need help it’s due in 30 min
Answer:
3/4a -1/2a=8-4
1/4a=4
a=4/1/4
=16
Answer:
$16
1/2a=8
a=8*2
a=16
How does the graph of f(x) = 3jx+2 +4 relate to its parent function?
A. The parent function has been translated to the left.
B. The parent function has been translated up.
C. The parent function has been compressed.
D. The parent function has been stretched.
Answer:
A,B,C
Step-by-step explanation:
The +2 in the absolute values means that it's translated to the left
The +4 on the outside means that it's translated up
The 3 means that it's compressed
For each of the following, find the percent change in the volume of a cube. The length of the side of the cube was first increased by 50% and then decreased by 20%.
Given here is a cube, whose one side is increased by a given percentage. The task is to find percentage increase in the volume of the cube. Below is the implementation of the above approach:
PLEASE HELP ME! I need this for a grade.
Some one plzzzz helpppp meeee
Answer: download photo math
Step-by-step explanation:
What is the r value of the following data to three decimal places x y 4 23 5 12 8 10 9 9 13 2
Answer: -0.903
Step-by-step explanation:
Which is the graph of y = cos(x) + 3?
1
N
0
Answer:N
Step-by-step explanation:
Which expression is not equivalent to 8 + (n - 4) ?
The K.C. Juice Company plans to reduce the size of its original juice box, shown below. The new juice box will be 1 centimeter
shorter in height than the original box.
10 cm
KC
Apple
Juice
3 cm
7 cm
What is the difference between the volumes of the original and new juice boxes?
Answer: The difference is 21
Step-by-step explanation:
first find the volume of the first rectangler prism and write that number down. secound use the same equation but first change the height by 1 and then lastly subtract those two volumes to get your answer.
210-189=21
189+21=210
tina has 10 cards on her table she wrote letter z on 2 of them and the letter y on 8 of them whats the probability that someone picks a card with the letter z on it?
Answer:
1/5
Step-by-step explanation:
From the 10 cards, only 2 cards have the letter Z.
2/10 = 1/5
Answer:
1/5
Step-by-step explanation:
it is 2/10 so 1/5 thats
the probability that someone picks a card with the letter z on it?
For what value of x is the equation 2x−3-x+4=3 true?
Answer:
x = 2
Step-by-step explanation:
2x−3-x+4=3
combine like terms:
x + 1 = 3
x = 2
The equation is true for the value of x = 2.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given equation is as given below.
2x − 3 - x + 4 = 3
We have to operate the like terms together.
Here 2x and x are like terms and 3 and 4 are like terms.
(2x - x) - 3 + 4 = 3
x - 3 + 4 = 3
x + 1 = 3
Subtracting 1 on both sides,
x = 3 - 1
x = 2
Hence the equation is true for x = 2.
To learn more about Equations Solving, click on the link given below :
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It's in the screenshot, please help, there's other questions to if you can help
Help plz :)no links plz
12/13
sin = opposite / hypotenuse