PLEASE HELP !!!!!!!!!!!!
9. The approximate height, h, in metres, travelled by golf balls hit with two different clubs over a horizontal distance of d metres is given by the following functions:
-Seven Iron: h= -0.002d^2+0.3d
-Nine Iron: h=-0.004d^2+0.5d
a) At what distances is the ball at the same height when either of the clubs is used?
B) What is this height?
(I need to use a ti-84 calculator in order to find the answer)
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.
Can anyone plz help me with this??
Ans =22 But I don't know how?!
Answer:
first + all the digit then divide the rational than multiple it fro 5 then divide from 5 . the answer will appear
make v the subject of the relation f=vu/v+u
Answer:
v=fu/u-f
Step-by-step explanation:
the answer is explained in the diagram
solve in attachment....
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Answer:
A)2
Step-by-step explanation:
we would like to integrate the following definite Integral:
[tex] \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx[/tex]
use constant integration rule which yields:
[tex] \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx[/tex]
notice that we can rewrite √x using Law of exponent therefore we obtain:
[tex] \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx[/tex]
once again use law of exponent which yields:
[tex] \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx[/tex]
use exponent integration rule which yields;
[tex] \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} [/tex]
simplify which yields:
[tex] \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} [/tex]
recall fundamental theorem:
[tex] \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} [/tex]
simplify:
[tex] \displaystyle 2 [/tex]
hence
our answer is A
A clothing store offers a free T- shirt when a customer spends $75 or more. Lyndon has already spent $36.95 which statement best represents all of the amounts he can spend to get a free T-shirt
Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555
Pull out a common factor of 10⁷:
10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)
… = 10⁷ × 111
Factorize 10 as 2 × 5, then distribute the power of 7:
… = 2⁷ × 5⁷ × 111
Pull out a factor of 5 and multiply it with 111:
… = 2⁷ × 5⁶ × 5 × 111
… = 2⁷ × 5⁶ × 555
So 555 divides 10⁹ + 10⁸ + 10⁷.
On Monday, a local hamburger shop sold a combined total of 456 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answer:
114 hamburger
Step-by-step explanation:
456:4=114
the cheeseburger sold 3 times than the hamburger so 3+1=4
456:4 =114
In 2004 there were 7,000000 people living alone in great Britain this is four time as many as in 1961, Calculate how many people lived alone in 1961. Express your answer in standard form
Answer:
1.75 × 10⁶
Step-by-step explanation:
7,000,000 ÷ 4 = 1750000
Which is 1.75 × 10⁶ in standard form
Which of the following equations correctly represents the law of cosines?
Answer:
C
Step-by-step explanation:
The mean of 6 numbers is 8.
The numbers are in the ratio 1 : 1 : 2 : 2 : 3 : 3.
Find the median.
Answer: 8
Step-by-step explanation:
Given
Mean of the numbers is 8
If the ratio is 1:1:2:2:3:3
Suppose the numbers are [tex]x, x, 2x, 2x, 3x, 3x[/tex]
Write the mean of the numbers
[tex]\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4[/tex]
So, the numbers are [tex]4, 4, 8,8 ,12,12[/tex]
As the total numbers are even, median is the sum of the middle values
[tex]\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8[/tex]
1.Una granja tiene gallinas y vacas. En total hay 58 cabezas y 168 patas. ¿Cuántos gallinas y cuantas vacas hay?
Answer:
no c
Step-by-step explanation:
The triangles are similar.
What is the value of x?
Enter your answer in the box.
PLISSSSSSSS HELPPPPPP!!!!!!
i will give brainliest
Instructions: Find the measure of
Answer:
93
Step-by-step explanation:
Add the two angles 48 and 39 =87. 180-87=93
15 POINTS AND BRANLIEST!!!
X = ?
Answer:
x = 7
Step-by-step explanation:
The 2 angles are Alternate exterior angles and are congruent, so
2x - 3 = x + 4 ( subtract x from both sides )
x - 3 = 4 ( add 3 to both sides )
x = 7
For the lines to be parallel, then x = 7
Nathan is 1.55 meters tall. At 1 p.m., he measures the length of a tree's shadow to be 38.15 meters. He stands 32.9 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter .
Answer:
11.26 m
Step-by-step explanation:
The height of the tree is about 11.25 meters.
What are similar triangles?When the respective sides are proportional and the corresponding angles are congruent, two triangles are said to be similar.
Given that, the height of the person is 1.55 meters, the length of the tree's shadow is 38.15 meters, and the distance between the person and the tree is 32.9 meters.
Let the height of the tree be x.
Note that the scenario makes two similar triangles.
Since the ratio of the side lengths of similar triangles is proportional, it follows:
(38.15 - 32.9)/1.55 = 38.15/x
5.25/1.55 = 38.15/x
3.39 = 38.15/x
x = 38.15/3.39
x = 11.25
Hence, the height of the tree is about 11.25 meters.
Learn more about similar triangles: https://brainly.com/question/25882965
#SPJ2
A group of friends wants to go to the amusement park. They have no more than $365 to spend on parking and admission. Parking is $16.25, and tickets cost $38.75 per person, including tax. Write and solve an inequality which can be used to determine pp, the number of people who can go to the amusement park.
Answer:
Inequality: [tex] 38.75p + 16.25 \le 365 [/tex]
Solution: [tex] p \le 9 [/tex]
Step-by-step explanation:
Let p = number of people.
Ticket for 1 person: $38.75
Tickets for n people: 38.75p
Parking: $16.25
[tex] 38.75p + 16.25 \le 365 [/tex]
[tex] 38.75p \le 348.75 [/tex]
[tex] p \le 9 [/tex]
Answer
380≥20.75p+15.5
Step-by-step explanation:
good luck
helppppp plzzzzzzz steppsss iff posiblleeee, will mark brailest!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
54
Step-by-step explanation:
126+x=180
x=180-126=54
x=54
A picture which measures 30cm by 40cm is surrounded by a frame which is 11/2 wide. find the area of the frame
The yearly cost in dollars y, for a member at a video game arcade based on total game tokens purchased, x, is y=1/2x+6. A nonmember pays $20 per game token, but no yearly fee. Which equation represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year?
Answer:
y = 20x
Step-by-step explanation:
For members
y = 1/2x + 6
Where,
y = yearly cost in dollars
x = total game tokens purchased
1/2 = cost of each game token
6 = yearly fee
For non members: without yearly fee
A nonmember pays $20 per game token
y = 20x represents the yearly cost for a nonmember at the same video game arcade based on the total number of game tokens purchased in a year
Answer:
B,C,E
Step-by-step explanation:
Got it right on Edge
Please help me with this... will give brainliest
Answer:
94 cm^2
Hope it helps!
Select the equivalent expression.
(6-4.8-7)+"=?
Determine the area of the triangle.
90.6 square units
50.1 square units
94.2 square units
106.0 square units
Answer:
94.2 square units.
I got 94.09 but that seems to be the closer answer.
what is the answer to f (x) = 4x + 11
Step-by-step explanation:
x=4x+11
11=4x-x
11=3x
x=11/3
x=37
Finish solving the system of equations –9.5x – 2.5y = –4.3 and 7x + 2.5y = 0.8 using the linear combination method.
1. Determine which variable will be eliminated: y will be eliminated because –2.5y and 2.5y are opposite terms.
2. Add the equations together to create a one-variable linear equation: –2.5x = –3.5
3. Solve to determine the unknown variable in the equation: x = 1.4
4. Substitute the value of the variable into either original equation to solve for the other variable.
The solution to the system is (
9514 1404 393
Answer:
(x, y) = (1.4, -3.6)
Step-by-step explanation:
4. We choose to substitute into the second equation because it has positive coefficients.
7(1.4) +2.5y = 0.8
9.8 +2.5y = 0.8 . . . . simplify
2.5y = -9.0 . . . . . . . subtract 9.8
y = -3.6 . . . . . . . . . . divide by 2.5
The solution to the system is (x, y) = (1.4, -3.6)
if a/b = 2 /5, b/c = 3 /8, a/c =??
Answer:
3/20
Step-by-step explanation:
By question it's given that ,
[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]
[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]
And we need to find out the value of a/c .For that Multiply both of them , we have ;
[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]
Hence the required answer is 3/20 .
Simplify:
(a) 78.5 ÷ 3.14
(b) 56.272 x 41.2
(c) 4 2 9 x 3 3 8 x 7 1 2
(d) 4 4 7 ÷ 5 1 3
Answer:
78.5÷3.14=25
56.272×41.2=2318.4064
429×338×712=103241424
447÷513=0.8713450292
Step-by-step explanation:
hope it will help!
Someone tell me where everyone is going right please !!
Answer:
A 2
B 1
C 4
D 3
Step-by-step explanation:
( ) means not including (also used for infinity)
[ ] means including
The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []
Explanation for A:
x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".
x can be anything, it just has to be less than 7.8, so the answer is:
2 (-infinity, 7.8)
Explanation for B:
x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".
x can be anything, it just has to be less than or equal to 7.8, so the answer is:
1 (-infinity, 7.8]
Explanation for C:
x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".
x can be anything, it just has to be greater than or equal to 7.8, so the answer is:
4 [7.8, infinity)
Explanation for D:
x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".
x can be anything, it just has to be greater than 7.8, so the answer is:
3 (7.8, infinity)
Hope it helps (●'◡'●)
Answer:
A:2 B:1 C:4 D:3
Step-by-step explanation:
Which expression is equivalent to (9⋅5)2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\boxed{\dfrac{(9 \times5) 2}{3}}[/tex]
[tex]\huge\boxed{9 \times 5 = \bf 45}[/tex]
[tex]\huge\boxed{ = \dfrac{45(2)}{3}}[/tex]
[tex]\huge\boxed{45(2) = \bf 90}[/tex]
[tex]\huge\boxed{= \dfrac{90}{3}} \\\\\huge\boxed{= \dfrac{90\div3}{3\div3}}\\\\\huge\boxed{= \dfrac{30}{1}}[/tex]
[tex]\huge\boxed{= \bf 30}[/tex]
[tex]\huge\boxed{\rm{Answer: 30}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]
Answer:
30
Step-by-step explanation:
[tex] \small \sf = \frac{( 9 × 5 ) 2 }{3} \\ [/tex]Multiply 9 and 5 to get 45.
[tex] \small \sf = \frac{ 45 × 2 }{3} \\ [/tex]Multiply 45 and 2 to get 90.
[tex] \small \sf = \frac{ 90 }{3} \\ [/tex]Divide 90 by 3 to get 30.
= 30Can someone help me with this math homework please!
OPTION C
The graph is continuous because there can be fractional values for time
Answer:
(C) The graph is continuous because there can be fractional values for time.
Step-by-step explanation:
There can't be a negative altitude because when it reaches the ground, it has a altitude of zero and can't go further down. However, it's not B because a discrete graph would also mean there would be set times (represented by points on the graph) of the hot air balloon moving. This isn't true, because the hot air ballon moves as time continues, even fractional time values.
So it's C, "The graph is continuous because there can be fractinoal values for time".
Hope it helps (●'◡'●)