Answer:
The ball will reach the same height of 10 meters after 100 meters.
Part A)
100 meters.
Part B)
10 meters.
Step-by-step explanation:
The golf-ball hit by the Seven-Iron is modeled by the equation:
[tex]h=-0.002d^2+0.3d[/tex]
And the ball hit by the Nine-Iron is modeled by the equation:
[tex]h=-0.004d^2+0.5d[/tex]
Where h is the height of the ball after d meters.
When they are at the same height, the two equations will equal each other.
Graphically, this is where the two graphs will intersect.
To solve this using a Ti-84, you can follow these steps (I'm using the Ti-84 Plus Silver Edition):
1) Using [Y=], write and then [GRAPH] the two equations.
2) Press [ZOOM] and [ZOOM OUT] until you can see both graphs clearly.
3) To find the intersection point, press [2ND] and then [CALC] (above [TRACE]).
4) Choose [5) Intersect].
5) Using the arrow keys, click on one graph to choose it as your first curve and the other to choose it as your second curve. (In this case, it doesn't matter which one is which.)
6) When it asks you to guess, put the cursor to as close to the intersection point as possible. Ignore the intersection at the origin point.
7) Press [ENTER], and it should give you your solution.
Therefore, the intersection point (not counting (0,0)) is at (100, 10).
Therefore, the ball will reach the same height of 10 meters after 100 meters.
Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)
FIRST QUESTION: y= -2/3x-1
y-intercept=____
Slope:____
Given:
The equation of a linear function is:
[tex]y=-\dfrac{2}{3}x-1[/tex]
To find:
The y-intercept and slope of the given equation, then draw the graph of the equation.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept
We have,
[tex]y=-\dfrac{2}{3}x-1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-\dfrac{2}{3}[/tex]
[tex]b=-1[/tex]
Therefore, the y-intercept is -1 and the slope of the line is [tex]-\dfrac{2}{3}[/tex].
It means the graph intersect the y-axis at point (0,-1) and having slope [tex]-\dfrac{2}{3}[/tex]. So, the graph of the equation is shown below.
Which applies the power of a power rule properly to simplify the expression (710)5?
Answer:
I45
Step-by-step explanation:
(PLS HELP NOW WILL GIVE BRINIEST!!!!!) A figure is formed by two pairs of parallel sides that are the same length. Which type of figure is it?
A.
hexagon
B.
square
C.
pentagon
D.
triangle
Answer: B. Square
Step-by-step explanation:
All sides of a square have the same lengthAll four angles of a square = 90°A square has two parallel sidesThe answer is B.), because if you have two pairs of parallel sides that means it looks like a square 1. || 2. _
_
- Chilio
please hurry :(
Given m||n, find the value of x.
m
xº
1189
+-
Answer:
62°
Step-by-step explanation:
If a window is to be 6 feet wide, how high should it be, to the nearest tenth of a foot, to be a golden rectangle
Answer:
3.7 feet
Step-by-step explanation:
A golden rectangle is a rectangle in which the length and the width are in the ratio 1 : 1.618
If the width of the rectangle is 6, the length = 6 / 1.618 = 3.708 ft
= 3.7 (to the nearest tenth)
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Between the numbers 15/20 and 35/40 , the greater number is
a. 15/20 b. 20/15 c. 35/40 d. 45/30
Answer:
35/40
Step-by-step explanation:
To compare, both denominator should be same.
[tex]\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}[/tex]
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀the numbers 15/20 and 35/40⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀⠀⠀⠀
the greater number is[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
we have to find the greater number between 15/20 and 35/40
To do this,
we have to compare the denominator same.
[tex]\sf{\dfrac{35}{40}=\dfrac{35×1}{40×1}=\dfrac{35}{40} }[/tex] [tex]\sf{\dfrac{15}{20}=\dfrac{15×2}{20×2}=\dfrac{30}{40} }[/tex]According to the question,
we have to find the greatest one
[tex]\sf{\dfrac{35}{40} > \dfrac{30}{40} }[/tex] [tex]\sf{\dfrac{35}{40}>\dfrac{15}{20} }[/tex][tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
⠀⠀
[tex]\therefore\mathrm{\dfrac{35}{40} > \dfrac{15}{20} }[/tex]
⠀⠀
Can someone help me with this math homework please!
Answer:
addition one is: (1/2) + 5x - (1/2)= 8 - (1/2)
muliplcation one is: (4x)(1/4)=(3) (1/4)
subtracting one is: 3x-4+4=12+4
division one is: 55/11 = 11x/11
Step-by-step explanation:
Hope this helps and good luck :)))
NEED HELP ASAP what function is this??
Answer:
linear
Step-by-step explanation:
the graph in the above equation is linear function
I NEED HELP ASAP!!!!!!!!!!!PLEASE
Answer:
74.8% approximately
Step-by-step explanation:
Area of circle is pi×r^2=pi×4^2=16pi=50.27 approximately
Area of pentagon (assumption regular pentagon)=5/2×apothem×side length=5/2(3.2)(4.7)=37.6
So the probability that it lands in the red is 37.6/50.27 approximately =74.8% approximately
Evaluate the expression. 37
Answer:
[tex]2187[/tex]
Step-by-step explanation:
[tex] {3}^{7} \\ = (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) \\ = 2187[/tex]
Hope it is helpful....Answer:
2187
Step-by-step explanation:
3*3=9
9*3=27
27*3=81
81*3=243
243*3=729
729*3=2189
which of the following is the equation of a line that passes through the points (1,6) and(2,1)
Answer:
y=1x-5
Step-by-step explanation:
it goes over to the right 1 time and down 5
(1+1,6-5)=(2,1)
Factor using the perfect squares method:
x^2 - 3x + 16
Answer:
what are the answer choice?
Step-by-step explanation:
5(a-5)+a(a-5) complete the expression
Answer:
a^2 -25
Step-by-step explanation:
5a-25 + a^2 - 5a
a^2 - 25
Find the equation of a quadratic function in general form whose graph has points: (-2, 3) (0, 3) and (-4,-5).
Try your best to show complete work & explain your strategy.
Answer:
-x²-2x+3
Step-by-step explanation:
The first thing I noticed is that the first and second point has the same y intercept despite being only 2 x coordiantes away. This must mean that the vertex's x coordiante is probably (-1,4)
Because the vertex is probably (-1,4) the graph must also be concave down because the point (-4,-5) is below it
writing this in vertex form we get
-a(x+1)²+4
Where a is some constant
solve for a by plugging in (0,3)
3= -a(0+1)²+4
3= -a+4
-1= -a
a=1
therefore the equation looks like
-(x+1)²+4
expanding this so that it's in stantard form...
-(x²+x+x+1)+4
-x²-2x+3
which is the final answer
Can some help with this problem
Answer:
20 degrees.
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees. One of them, bottom right, is already shown as 70 degrees. You can find the bottom left angle by subtracting 110, the supplementary angle, from 180 (the number of degrees in a straight line). The top angle, 2x, is equal to 40 degrees. (180-70-70 = 40). 40/2 = x, so x = 20 degrees.
Find the center and radius of the circle. Help !!
Answer:
the center is -1,1 and the radius is 4 i think
Step-by-step explanation:
The volume of air inside a rubber ball with radius r can be found using the function V(r)= 4/3pier^3 what does V(5/7) represent?
Answer:
Step-by-step explanation:
I can tell you what it represents, but not what it means. Or maybe the units.
V(5/7) means that wherever you see an r on the right hand side, you put in 5/7 where the R is.
V = 4/3 * pi * r^3
V(5/7) = 4/3 * 3.14 * (5/7)^3
V(5/7) = 4/3 * 3.14 * 125 / 343
V(5/7) = 4/3 * 3.14 * 0.3644
V(5/7) = 1.526 cubic units (of whatever the units of 5/7 were to begin with)
Describing the Vertical Line Test
Explain what the vertical line test is and how it is used.
Answer:
Vertical line test is used to identify that the given graph is function or not
In this a vertical line is drawn at any part of the graph
If it cuts only one line then it is a function and it cuts more than one line then it is not a function
Answer:
The vertical line test is a way to determine if a relation is a function. This test determines if one input has exactly one output on the graph. If any vertical line passes through more than one point on the graph, then the relation is not a function because two different outputs have the same input.
Step-by-step explanation:
430,400,000+342,000,000 adding scientific notation
Answer:
772,400,000
Step-by-step explanation:
Hope This Helps :) :) :)
A man and his wife share a lottery prize of $1 500 000 in the ratio of 41:34. What is the difference between the man's share and his wife's share
Answer:
$140,000
Step-by-step explanation:
Value of lottery = $1,500,000
Man's ratio = 41
Wife's ratio = 34
Total ratio = 41 + 34 = 75
Man's share = Man's ratio / Total ratio * Value of lottery
= 41/75 * $1,500,000
= 0.5466666666666 * $1,500,000
= $820,000
Wife's share = wife's ratio / total ratio * Value of lottery
= 34/75 * $1,500,000
= 0.4533333333333 * $1,500,000
= $680,000
Difference between the man's share and his wife's share
= Man's share - wife's share
= $820,000 - $680,000
= $140,000
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
x =48.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp side / hypotenuse
sin x = 54 /72
Taking the inverse sin of each side
sin ^ -1( sin x) =sin ^-1 ( 54/72)
x = 48.59037789
To the nearest tenth
x =48.6
Answer:36.9
Step-by-step explanation:
If trstan has a pickup truck that could carry 7/4 cord of firewood, FInd the number trips needed to cary 63 cords of wood
Answer:
36
Step-by-step explanation:
63/(7/4) 63 divided by 7/4
63* 4/7 63 multiplied by 4/7
=36 answer is 36
help it’s very urgent please !!!!
Answer:
There are 7 blue flowers.
Step-by-step explanation:
Total flowers: 30
Use the chart to find the red, white, and yellow flowers.
Red: 8
White: 10
Yellow: 5
Find the sum of the these three colored flowers:
8 + 10 + 5
23
Find the difference between the total flowers and the sum of the three colored flowers:
30 - 23
7
7 blue flowers
Use the graph below, find f(10).
6points!!!
Answer:
the answer is a
tell me if it’s rite or wrong I did the work as best as I could
f(10) is undefined.
What is function?"It defines a relation between input and output values.""In function, for each input there is exactly one output."What is the graph of a function?"It is the set of points on the coordinate plane which satisfies the given function."
For given question,
We need to find the value of a function at x = 10.
We can observe that, when x = 10, the function value 2 is denoted by an open circle.
This means the function do not have value 2 when x = 10
Therefore, f(10) is undefined.
Learn more about the function here:
https://brainly.com/question/13461298
#SPJ2
Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is
16
inches shorter than
1
1
2
times Theresa’s height. Steve says he is
6
inches shorter than
1
1
3
times Theresa’s height. If they are both right, how tall is Theresa?
Answer:
From given, we have,
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.
Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.
Let the height of Theresa be "x" inches.
So, we get,
For Paul, 1 1/2 x - 16 = T
⇒ 3/2 x - 16 = T ......(1)
For Steve, 1 1/3 x - 6 = T
⇒ 4/3 x - 6 = T .........(2)
equating equations (1) and (2), we get,
3/2 x - 16 = 4/3 x - 6
6 - 16 = 4/3 x - 3/2 x
-10 = (8 - 9)/6 x
-60 = -x
x = 60 inches.
Therefore, Theresa is 60 inches tall.
If EC = 10cm what must AC be if ABCD is a parallelogram?
5
10
or 20?
Answer:
it is 20 vecause I say so yeah hey guts
Students were asked to choose their favorite season. If 2/9 of the students
chose spring and 5/9 chose summer, what fraction chose either spring or
summer?
Answer:
7/9
Step-by-step explanation:
2/9+5/9=7/9
ATRI has vertices T(-2,4), R(2,4), and 1(0,0). IS ATRI scalene, isosceles, or equilateral?
Is ATRI scalene, isosceles, or equilateral?
equilateral
isosceles
scalene
Managers of a movie theater company want to learn more about what types of premium services their customers who participate in the theater's loyalty program most desire and would be willing to pay a premium price for. The managers use a computer program that selects customers in a lottery style from the company's database to receive an online survey and loyalty points for completing the survey about premium services. What kind of sampling technique do the movie theater managers use
Answer: Simple random sampling
Step-by-step explanation:
Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.
In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.
Three different non-zero digits can be arranged in six different ways to
form six three-digit numbers. If the smallest three of these numbers add
to 540, what is the sum of the largest three numbers?
Answer:
1134
Step-by-step explanation:
We have 3 digits:
a, b, c
a 3 digit number can be written as:
a*100 + b*10 + c*1
Such that these numbers can be:
{1, 2, 3, 4, 5, 6, 7, 8, 9}
Let's assume that:
a < b < c
Then the 3 smaller numbers are:
a*100 + b*10 + c
a*100 + c*10 + b
b*100 + a*10 + c
The 3 larger numbers are:
b*100 + c*10 + a
c*100 + a*10 + b
c*100 + b*10 + a
We know that the sum of the 3 smaller numbers is equal to 540, then:
(a*100 + b*10 + c) + (a*100 + c*10 + b) + (b*100 + a*10 + c) = 540
Let's simplify this:
(a + a + b)*100 + (b + c + a)*10 + (c + b + c) = 540
(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540
The sum of the 3 larger numbers is equal to X, we want to find the value of X:
(b*100 + c*10 + a) + (c*100 + a*10 + b) + (c*100 + b*10 + a) = X
Now let's simplify the left side:
(b + c + c)*100 + (c + a + b)*10 + (a + b + a)*1 = X
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
Then we have two equations:
(2a + b)*100 + (b + c + a)*10 + (2c + b) = 540
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
Notice that the terms are inverted.
By looking at the first equation, we can see that:
(2c + b) = 10 (because the units digit of 540 is 0)
Then, we can see that:
(b + c + a + 1 ) = 14 (the one comes from the previous 10)
finally:
(2a + b + 1) = 5 (the one comes from the previous 14)
Then we can rewrite:
(2*c + b) = 10
(b + c + a) = 14 -1 = 13
(2a + b) = 5 - 1 = 4
Now we can replace these 3 in the equation:
(b + 2*c)*100 + (c + a + b)*10 + (2a + b) = X
(10)*100 + (13)*10 + 4 = X
1000 + 130 + 4 = X
1134 = X
The sum of the 3 largest numbers is 1134.
