The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x)=−.15x2+3.2x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball reaches a maximum height of _______ feet at a horizontal distance of ____
feet away from the golf club it was hit with.
The ball returns to the ground at about ________ feet away.
Answers
9514 1404 393
Answer:
maximum height of 17.07 feet about 10.67 feet from the club
returns to the ground 21.33 feet away
Step-by-step explanation:
A graphing calculator can answer these questions easily.
The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function, the highest point is found at ...
x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club
The maximum height is the function value at that point.
h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15
The ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.
Related Questions
Stephanie is going to paint the walls and ceiling of her bedroom. Her room is 18 feet long, 17 feet wide and 9 feet high.
What is the square footage (area) of the walls and ceiling that Stephanie will be painting?
The square footage Stephanie will be painting is ________ square feet. (Enter the number only)
How many gallons of paint does Stephanie have to purchase if each gallon of paint covers 250 square feet?
Stephanie will have to buy _____ gallons of paint. (Remember, you can only purchase a WHOLE number of gallons;Enter the number only)
If each gallon cost $23.75, how much will Stephanie spend on paint?
Stephanie will spend $________ on paint. (Enter the number only)
Answers
Answer:
55
Step-by-step explanation:
Solve the Following inequality by choosing all of Possible range of Values that make the Statement True.
2 (x) + 12 ≤ 30
Group of answer choices
9, 10, 11
7, 8, 9
-7, -8, -9
9.001, 9.002, 9.003
Answers
Answer:
7, 8, 9
-7, -8, -9
Step-by-step explanation:
2(x) + 12 ≤ 30
2x + 12 ≤ 30
2x ≤ 30 - 12
2x ≤ 18
x ≤ 9
x has to be less than OR equal to 9
A building 240 feet tall casts a 40 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)? (Assume the person's eyes are 4 feet above ground level.)
Answers
9514 1404 393
Answer:
80.38°
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
The person is standing 40 ft from the building. The point they're looking at is 236 ft above their eyes. So the angle α is found from ...
tan(α) = 236/40
α = arctan(236/40) ≈ 80.38°
Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4
Answers
Answer:(2,0) x=2,y=0
Step-by-step explanation:
Let's solve your system by elimination.
−x+y=−2;2x−3y=4
Multiply the first equation by 2,and multiply the second equation by 1.
2(−x+y=−2)
1(2x−3y=4)
Becomes:
−2x+2y=−4
2x−3y=4
Add these equations to eliminate x:
−y=0
Then solve−y=0 for y:
−y=0
−y/−1 =0/−1
(Divide both sides by -1)
y=0
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
−x+y=−2
Substitute0foryin−x+y=−2:
−x+0=−2
−x=−2(Simplify both sides of the equation)
−x/−1 = −2/−1
(Divide both sides by -1)
x=2
What is the area of this figure? I give brainliest! :)
Answers
Answer:
276yd^2
Step-by-step explanation:
14*12 + 9*12 = 168+108 = 276
Answer:
It’s 276 yd square
Step-by-step explanation:
you would have to split the shape into two different shapes.
9x12=108
12x14=168
then you would add both areas to get 276 which is the total area for this shape.
Which is the greater decimal?
.721 or .72
Answers
Answer:
.721 is bigger because Il earned that the decimal that has a larger number as there last number is the greatest decimal.
Step-by-step explanation:
A 5-foot tall student stands 15 feet from a flagpole. The student
casts a shadow 6 feet long which ends at exactly the same point
as the shadow of the flagpole.
How many feet tall is the flagpole, to the nearest tenth of a foot?
Answers
Answer:
17.5 ft
Step-by-step explanation:
Draw a picture as shown in the attached image. From the image, you can see that a proportion can be set up comparing the height of the flagpole and student to their respective shadows. Once you set up the proportion, solve to get the height of the flagpole.
If 5% of a number equals 8, find 50% of that number.
Answers
Answer:
80 will be the answer.
Step-by-step explanation:
Let the number be x.
5% of x=8
(5/100)*x=8
x=(8*100)/5
x=160
Now,
50% of 160
=(50/100)*160
=80
A home is purchased for $ 794,000 with a 16% down payment. Find the monthly payment if the mortgage is 7.22% for 19 years. Round your answer to two
decimal places, if necessary,
Answers
Answer:
The monthly payment will be of $11,485.37
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
A home is purchased for $ 794,000 with a 16% down payment.
So the value of the loan, that is, the amount subject to interest, will be given by:
[tex]P = (1-0.16)*794000 = 0.84*794000 = 666960[/tex]
How much will the interest accumulate to?
7.22% of interest means that [tex]r = 0.0722[/tex]
19 means means that [tex]t = 19[/tex]
Monthly means that [tex]n = 12[/tex]
So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 666960(1 + \frac{0.0722}{12})^{12*19}[/tex]
[tex]A(t) = 2618664.5[/tex]
Monthly payment:
2618664.5 divided in 19*12 payments. So
2618664.5/(19*12) = 11485.37
The monthly payment will be of $11,485.37
pls pls pls :,) help me plssssssss no links no links NO LINKS pls and if you don’t know don’t answer because I really need help
Answers
Answer:
Step-by-step explanation:
use your calculator
HELP ME LOOK AT THE PHOTO
Answers
Answer:
The answer to the question provided is 7.
Step-by-step explanation:
[tex]7x + 9 = 8x + 2 \\ \frac{ - 8x \: \: \: \: = - 8x}{ - 1x + 9 = 2 } \\ \frac{ \: \: \: \: \: \: \: \: - 9 = - 9}{ \frac{ - 1x}{ - 1} = \frac{ - 7}{ - 1} } \\ x = 7[/tex]
[I apologize if this isn't the answer]
What is the area in square units of the figure shown below??help asap!don't share links or anything pleasee
Answers
Answer:
area equals 36 and 3 fourths because if you cut the triangle off of one of the sides and add it to the other side it makes a rectangle then you do length times width to find regular area of a rectangle.
One side of a rectangle is parallel to the x-axis. One vertex of the rectangle is located at (5,2) and another vertex at (1,4). What are the coordinates of the other two vertices?
Answers
Answer:
(1,2) and (5,4)
Step-by-step explanation:
Hello There!
I had made a graph to make it easier to understand.
The points given to us are represented by the green points
The points that would make a rectangle with lines that are parallel with the x axis would be (1,2) and (5,4) (represented by the red points)
As you can see the points added had created a rectangle with sides that are parallel with the x axis
This meets all of the requirements therefore the other two vertices would have the points (1,2) and (5,4)
Traci has 8 yards of fabric. She uses 10 feet of this fabric to make pillows. How much fabric does Traci have left
Answers
Answer:
She has 14 feet left
Step-by-step explanation:
1 yard = 3 feet of fabric
8 yards x 3 feet/yard = 24 feet
24 - 10 = 14 feet
If a bakery produces 1,215 cupcakes during a 9 hour shift, what is the production rate of cupcakes per hour?
Answers
Answer:
135
Step-by-step explanation:
Answer:
135 cupcakes
Step-by-step explanation:
You would do 1,215 divided by 9 to get your answer. So the answer would be 135 cupcakes.
Help Please my we dobnt know
Answers
Answer:
its B
Step-by-step explanation:
Answer:
Its the 3rd one.
Also can I have brain list
Step-by-step explanation:
A rectangular prism has a length of 5 centimeters, a height of 6 centimeters, and a width of 9 centimeters. What is its volume, in cubic centimeters?
Answers
Answer:
270 cubic centimeters
Step-by-step explanation:
To find the volume you multiply the lenght times width times hight. So 5x6 is 30. 30x9=270
In Ms. Chance's first period class, there are 9 students with hazel eyes, 10 with brown eyes, 7 with blue eyes, and 2 students with green eyes. Ms. Chance picks a student at random. Which color eyes is the student most likely to have?
Answers
A savings account starts with $181.25. After 7 years of continuous compounding at an interest rate, r, the account has $1450.
What is the interest rate percentage?
Round the answer to the nearest hundredth
Enter your answer in the box.
Answers
Answer:
29.71%
Step-by-step explanation:
The interest rate of the savings account is = 114.3%
Calculation of interest rate percentage of an accountThe start up or principal amount (P) = $181.25
Simple interest after 7 years (SI) = $1450
Time or duration (T) = 7 years
To calculate the rate percentage of interest;
R = SI × 100/P×T
R = 1450 × 100/ 181.25 × 7
R = 145000/1268.75
R = 114.3%
Therefore, the interest rate percentage of the savings account is = 114.3%
Learn more about simple interest here:
https://brainly.com/question/25793394
What is the value of 5 units as a mixed number
Answers
5integer 0/1 is the mixed fraction of 5 units
How many solutions will there be to the following equation 16^2=100
Answers
Will give brainliest
Find the area of this triangle.
Round to the nearest tenth.
7 in
133
13 in
[ ? ) in2
Answers
Answer:
33.3 in²
Step-by-step explanation:
Apply the formula for finding the area of triangle that has an included angle and two given sides, which is, Area = ½*a*b*Sin*C
Where,
a = 7 in
b = 13 in
C = 133°
Plug in the values
Area = ½*7*13*Sin(133)
Area = 33.2765935 ≈ 33.3 in² (nearest tenth)
what scale factor is applied to shape b to make shape a? I need help asap please
Answers
Answer:
For shape B to make shape A all numbers in shape B would have to be divided by 1.5
Step-by-step explanation:
Which graph represents a function with direct variation?
Answers
Answer:
Second graph with straight diagonal lines
Step-by-step explanation:
The second graph with straight diagonal lines represents the direct variation
The X and Y axis represents two variables A and B and these two variables in case of second graph with straight lines are directly proportional to each other.
Hence, If value of variable A increases, then value of variable B will also increase
Answer:
I believe it's the third one
explanation:
its one of the only graphs that the line passes through the orgin, and its linear.
Hope it helps and plase forgive me if I'm wrong
The solutions to quadratic equation are called (select all that applies)
Maximum or Minimum
Parabolas
Line of Symmetry
Zeros
Roots
Answers
Answer:
zeros
roots
Step-by-step explanation:
The mother of a teenager has heard a claim that 23% of teenagers who drive and use a cell phone reported texting while driving. She thinks that this rate is too high and wants to test the hypothesis that fewer than 23% of these drivers have texted while driving. Her alternative hypothesis is that the percentage of teenagers who have texted when driving is less than
Answers
Answer:
H1 : p < 0.23
Step-by-step explanation:
The parameter percentage Given in the scenario above is 23%;
Proportion = 23/100 = 0.23
The null hypothesis ; H0 will support the claim ; Hence, H0 is expressed as ;
H0 : p = 0.23
Thw alternative hypothesis ; will negative the claim of the null hypothesis ; Hence, H1 will be ;
H1 : p < 0.23
What values are solutions to the inequality below ? X<9
SOMEONE HELP ME FASTTTT!
Answers
Answer:
81
Step-by-step explanation:
√x > 9
Squaring both sides, you will get
x > 81
What’s the correct answer for this question?
Answers
Answer: Fourth Choice. -2
Step-by-step explanation:
Given
( -9 | 6 + ( -10 ) | ) / 2 · 3²
Expand (-10) parenthesis
= ( -9 | 6 - 10 | ) / 2 · 3²
Expand (-9|6-10|) parenthesis
= ( -9 | -4 | ) / 2 · 3²
= ( -36 ) / 2 · 3²
Simplify the denominator and get answer
= -36 / 2 · 9
= -36 / 18
= -2
Hope this helps!! :)
Please let me know if you have any questions
Cuatro amigos, Andrés, Diego, Jairo y Luis juegan billar y acuerdan que aquel que pierda deberá duplicar la cantidad de dinero de los otros tres. Juegan cuatro partidas y cada uno de ellos pierde una vez, Andrés la primera, Diego la segunda, Jairo la tercera y Luis la cuarta. En ese momento cada uno de ellos tiene $ 32.000 ¿Cuánto dinero tenía cada uno de ellos al iniciar la apuesta?
Answers
Answer:
creo que 150
Step-by-step explanation:
Dilations-He Said, She Said (12/10)
Answers
Answer:
um.....
Step-by-step explanation: