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.
Which of the
following could define the function g? Explain your reasoning.
• Equation A: g(x) = 20 - (1.5)*
• Equation B: g(x) = 20. (2.5)*
• Equation C: g(x) = 10. (3.5)*
• Equation D: g(x) = 20 · (4.5)*
the following could define the function g: 20. (2.5)ˣ = g(x)
correct option: B
What is function?Exactly one element of Y is assigned to each element of X in a mathematical function from a set X to a set Y. Both the set X and the set Y are referred to as the function's domain and co-domain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.
h(x) = 20. 4ˣ (0, 20)
here, g(x) passes through the point (0, 20)
thus, g(x) = 20. aˣ
when x > 0, f(x) < g(x) < h(x)
hence a < 4
so, 20. (2.5)ˣ - 10. 2ˣ > 0
or, 20. (2.5)ˣ = g(x)
correct option: B
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Lisa records the number of miles that each of her parents drove each day last week. Her results are shown in the table below.
Select ALL the statements about the data that are true.
(don't give scam links, please)
a
The range of all miles driven by Lisa's father was greater than the range of miles driven by Lisa's mother.
b
The average number of miles driven by Lisa's father was greater than the average number of miles driven by Lisa's mother.
c
The median number of miles driven by Lisa's father was greater than the median number of mules driven by Lisa's mother.
d
The median number of miles driven by Lisa's father was equal to the median number of miles drive by Lisa's mother.
e
The average number of miles that Lisa's mother drive Saturday and Sunday was less than the average number of miles that Lisa's father drove on Friday, on Saturday, and on Sunday.
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
C
Step-by-step explanation:
Answer:
It is weak
Step-by-step explanation:
It is weak, so that means the answer is C. It is weak because it is
Correct I’ll give brainlist no links or I’ll report
Answer:
[tex]y=10x\text{ or }y=10x+0[/tex]
Step-by-step explanation:
Slope-intercept form is given by [tex]y=mx+b[/tex].
Since Farmer Coraz purchases 10 items every month, he will have [tex]10\cdot x[/tex] items every [tex]x[/tex] months. Since he initially starts out with 0 items, at [tex]x=0[/tex], y is also equal to 0, and thus we have the final equation:
[tex]y=10x\text{ or }y=10x+0[/tex]
*Note: while slope-intercept form is [tex]y=mx+b[/tex], since the value of [tex]b[/tex] is 0, it is possible to omit it from the final equation and both answers should receive credit.
Who can help me with this
Answer:
Vertical
Step-by-step explanation:
Hope it helps you in your learning process
A textbook store sold a combined total of 411 psychology and history textbooks in a week. The number of history textbooks sold was 69 less than the number of
psychology textbooks sold. How many textbooks of each type were sold?
Answer:
Step-by-step explanation:
h and p are the number of history and psych textbooks, respectively.
store sold a total of 411 textbooks in a week.
h + p = 411
The number of history textbooks sold was 69 less than the number of psychology textbooks sold.
h = p - 69
Substitution
(p-69) + p = 411
2p = 411+69
p = 240
h = p-69 = 171
171 history books and 250 psych books
Solve: Jackson earns $16 per hour. His expenses are $532 per month. Which
expression shows how much money he has left after his expenses? *
532x - 6
532x + 16
16x - 532
16x + 532
Answer:He works 40 hours each week at a rate of $16 per hour.
Step-by-step explanation:
A square piece of sheet metal is to be used to make a stop sign. each side of the sheet metal is 50cm long. A triangle will be cut off each corner, leaving a regular octagon. which pair of equations can be used to calculate the length of each side of the octagon
Answer:
L = a √( 4 + 2√2)
Step-by-step explanation:
L = a √( 4 + 2√2) is the equation which can be used to calculate the length of each side of the octagon. In the equation i.e. L = a √( 4 + 2√2), in which ''a'' is the length of each side of the octagon. So by putting of ''a'' we get the length of each side of the octagon. The octagon is regular means all of its sides and angles are congruent or similar to each other. Each angle in the octagon has a measure of 135 degrees.
Divide X³ + 3x²−4x −12 by x +3. Choose any method
Answer:
[tex]{x}^{2} (x + 3) - 4(x + 3) divided by x + 3[/tex]
Second step
[tex](x {}^{2} - 4)(x + 3) \div (x + 3)[/tex]
The (x+3) brackets cancel each other
Final answer is
[tex]x {}^{2} - 4[/tex]
NEED HELP ASAP
THIS IS DUE TODAY
solve for the value of w
Answer:
w= 8
Step-by-step explanation:
180-90= 90
(5w + 1) + (7w- 7) = 90
solve
w= 8
PLEASE NO FILES OR LINKS
Answer: 16
Step-by-step explanation:
Answer:
It should be 16
Step-by-step explanation:at the you would take the 8 because that tells you half the length of the side then at the bottom there is also the other half of the line
What is the value of 2 cubed plus 5 squared
Answer:
33 is the answer
Which function is represented by the graph below?
graph begins in the second quadrant near the x-axis and increases slowly while crossing the ordered pair 3, 1. Then the graph begins to increase quickly throughout the graph
(5 points)
f(x) = 3x
f(x) = 3x − 3
f(x) = 3x + 3
f(x) = 3(x − 3)
Will mark brainliest please help ASAP Complete the square to find the vertex of this parabola x^2+14x-y-14=0
Answer:
the vertex is (-7, -63)
Step-by-step explanation:
x^2 + 14x - y - 14 = 0
x^2 + 14x = y + 14 (to isolate the x)
x^2 + 14x + 49 = y + 14 + 49
(x+7)^2 = y + 63
now we convert to vertex form, which is y = a(x – h)2 + k :
(x+7)^2 = y + 63
y = (x+7)^2 - 63
The vertex in vertex form is shown as (h, k) from y = a(x – h)2 + k, so in this case, h = -7 and k = -63. H is the x-coordinate as shown while k is the y-coordinate. Thus, the vertex is (-7, -63)
which statement best compares the volumes of the two rectangular prisms
Answer:
The volume of prism A is the same as the volume of prism B.
Step-by-step explanation:
Given
See attachment for prisms
Required
Compare the volume of both
First, we calculate the volume of both prisms.
Prism A is a rectangular prism.
So, its volume is:
[tex]V_A = Length * Base * Height[/tex]
Where
[tex]Length \to a[/tex]
[tex]Base \to b[/tex]
[tex]Height \to h[/tex]
So:
[tex]V_A = abh[/tex]
For Prism B, we have:
[tex]Volume = Base\ Area * Height[/tex]
Where
[tex]Base\ Area = Length * Base[/tex]
and
[tex]Length = a[/tex]
[tex]Base = b[/tex]
So:
[tex]Base\ Area = a * b[/tex]
[tex]Base\ Area = a b[/tex]
The volume is then calculated as:
[tex]Volume = Base\ Area * Height[/tex]
[tex]V_B = ab * Height[/tex]
Where
[tex]Height \to h[/tex]
So:
[tex]V_B = ab * h[/tex]
[tex]V_B = abh[/tex]
By comparison:
[tex]V_A = V_B = abh[/tex]
Ethan is practicing kicking field goals before a football game. He starts by kicking from 22 yards and increases his distance by 3.5 yards
every minute. He uses the equation shown to find the distance of his kicks (y), in yards, after different numbers of minutes (x).
y = 3.5x + 22
After how many minutes will Ethan be kicking from 50 yards?
a 4
6 7
8
d 9
how do you do this please
Answer:
Step-by-step explanation:
3). Adjacent
B). Cosine
a cylindrical jar of jam has a diameter of 6cm and a height of 8 cm. if the jar is 70% full of jam how many cubic centimeters of jam are in the jar? Please answer correctly
Answer: 158.26cm³
Step-by-step explanation:
First, we.need to calculate the volume of the cylinder and this will be:
Volume = πr²h
Volume = 3.14 × 3² × 8
Volume = 3.14 × 9 × 8
Volume = 226.08cm³
Since the jar is 70% full, the volume will be:
= 70% × 226.08cm³
= 0.7 × 226.08cm³
= 158.26cm³
Note:
Radius = Diameter/2 = 6cm/2 = 3cm
What is the image point of (8, 4) after a translation left 2 units and down 4 units?
Answer:
(6, 0 )
Step-by-step explanation:
A translation to the left means subtract 2 from the x- coordinate
A translation down means subtract 4 from the y- coordinate
Then
(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )
If a fair coin is tossed 8 times, what is the probability, to the nearest thousandth, of getting exactly 0 tails?
0.004 is the probability of getting exactly 0 tails :)
Please help! Free 100 points because why not lol
Answer:
Hello there :)
to find your cordinates simply set everything according to 0 and solve the equation with -b +- square rooted by b ac over b (im sorry i forgot what this equation is called). using +, that is your x point, and solving for - that is your y point.
Step-by-step explanation:
Hope this helps you!
Have a terrific week :)
Answer: Thanks!!
Step-by-step explanation:
Find the area of each sector. Round your answers to the nearest tenth.
A) 8.9 in
C) 4.7 in
B) 117.3 in
D) 7.1 in
This makes no sense some please help
Answer:
3x
Step-by-step explanation:
What you know
This is an equilateral triangle
the x's are all the same
you could write x + x + x = 3x = 16
Multiplying is just adding repeatedly
Answer:16 = 3x
Step-by-step explanation:
Perimeter = Sides surrounding a figure
The triangle has 3 sides, each named "x".
Thus, because the perimeter is equivalent to 16 inches, 3x = 16.
Find an expression which represents the difference when (6x + 3) is subtracted
from (8x+ 6) in simplest terms.
Answer:
14x - 9x = 5x
Step-by-step explanation:
8x + 6 = 14x
6x + 3 = 9x
1) A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip
back took 16 hours. What is the speed of the boat in still water? What is the speed of the
current?
A) boat: 13 mph, current: 4 mph B) boat: 30 mph, current: 2 mph
C) boat: 45 mph, current: 1 mph D) boat: 20 mph, current: 4 mph
Answer:B
I think we are in the same class lol
Step-by-step explanation:448 divided by 14= 32
448 divided by 16= 28
B=speed of boat in water
Y= Speed of current
B+y=32
B-y=28
32 + 28 =60
60 divided by 2 = 30
32 -30 =2
B=30
Y=2
Add my discord if you need more help Snapple#0141
A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units time, then that object's speed is
[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
A boat traveled 448 miles downstream and back.
The trip downstream took 14 hours. The trip back took 16 hours.
[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]
Speed of downstream
448/ 14= 32
Speed of back stream
448 / 16= 28
B = Speed of boat in the water
Y = Speed of current
The system of equation
B + y = 32
B - y = 28
32 + 28 =60
60 / 2 = 30
So,
32 - 30 =2
B = 30
Y = 2
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Please help me! DO NOT SEND LINK!
Answer:
Area is 40
perimeter is 26
Step-by-step explanation:
area = l×w
[tex]8 \times 5 = 40[/tex]
Perimeter = 2L +2W
[tex]2 \times 8 + 2 \times 5 \\ 16 + 10 \\ 26[/tex]
Sue has 18 sweets
Tony also has 18 sweets.
Sue gives Tony x sweets
Sue eats 5 of her sweets.
Tony eats half of his sweets.
Writ expressions of sweets Tony and sue now have
Answer:Find out the expressions for the number of sweets sue and tony have now .
To proof
As given
Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets
thus
sue sweets = 18 - x
Tony sweets = 18 + x
As given
Sue then eats 5 sweets. Tony then eats half of his sweets
sue sweets becomes = 18 -5 -x
= 13 - x
Hence proved
Step-by-step explanation:
Pls solve I will give the barinliest answer plssss
well we know the line will be equal to 180 degrees so we will have an equation like this
x+100+3x=120
we subtract 100 from 180 to get 80.
180-100=80
however x cannot be 80 bc we still have the 3x.
when you do the math, you will see that 20 times 3 is 60.
20×3=60
going even further we see that 60 plus 20 is 80
60+20=80
so to check our work, lets solve this equation
20+100+3×20=180
20+100=120
3×20=60
120+60=180
so your answer is x=20
A square has a side length of 5 cm. What is the perimeter of the square?
A. 10 cm
B. 15 cm
C. 20 cm
D. 25 cm
The perimeter of the square of side 5 cm is 20 cm
What is the perimeter of square of side 5 cm?The perimeter of a square is calculated with the formula:
Perimeter = 4 * length of side
length of the side = 5 cm
Perimeter = 4 * 5 cm
Perimeter = 20 cm
Therefore, the perimeter of the square is 20 cm
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By definition of perimeter, the correct answer is option C. the perimeter of the square is 20 cm.
Definition of perimeterThe perimeter of a two-dimensional figure is the distance around the figure. That is, the perimeter of a flat geometric figure is called the length of its contour.
So, the perimeter is the measurement obtained as a result of the sum of the sides of a flat geometric figure. So to calculate the perimeter of a figure it is necessary to know two basic variables:
The number of sides of the figure.The length of each of those sides.Perimeter of a squareA square is a flat geometric figure that has four equal sides, so the expression to calculate the perimeter of a square is:
Perimeter= 4× length of the sides
This caseIn this case, a square has a side length of 5 cm. So, the perimeter of the square is calculated as:
Perimeter= 4× 5 cm
Solving:
Perimeter= 20 cm
Finally, the correct answer is option C. the perimeter of the square is 20 cm.
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