The trajectory of a golf ball hit from a tee on the ground at an angle of 40 degrees with an initial
speed of 50 meters per second can be modeled by the parabola f(x) = 0.84x - 0.0033x2, where the
x-axis is the ground. Find the height of the highest point of the trajectory and the horizontal distance
the golf ball travels before hitting the ground.
PLEASE HELP ME IM USING ALL MY
POINTS
Answers
Answer:
53.45 m254.55 mStep-by-step explanation:
Given function:
f(x) = 0.84x - 0.0033x²Rewrite in the standard form:
f(x) = - 0.0033x² + 0.84xThe maximum height is the vertex with x- coordinate -b/2a, which is:
x = -0.84/2(-0.0033) ≈ 127.27The highest point is:
f(127.27) = -0.0033(127.27)² + 0.84(127.27) ≈ 53.45 mThe horizontal distance the golf ball travels before hitting the ground:
f(x) = 0- 0.0033x² + 0.84x = 033x² - 8400x = 0x(33x - 8400) = 0x = 0- initial point33x = 8400 ⇒ x = 8400/33 ≈ 254.55 mRelated Questions
Find the selling price of a $10 item after a 40% markup
Answers
Answer:
Revenue: $14
Profit: $4
Step-by-step explanation:
Hope this helps!
A brainlist would be appreciated! I'm almost an expert!
What is the volume of the cone? Use 3.14 for p.
A
115.40 cubic mm
B
346.19 cubic mm
C
461.58 cubic mm
D
1384.74 cubic mm
Answers
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle A?
Answers
Answer:
Step-by-step explanation:
21 because x= tend + lHk
Answer:
88
Step-by-step explanation:
X° + 116° = 180°(sum of opposite angle of a quadrilateral in circle is equal 180 °)
x°=180-116
x°=64°
therefore
A=(2(64)-40)
A=88°
please help me with these two i have to send it after class!!!!!
Answers
the first one is the answer to #1
and the second one is the answer to #2
Select the expression equivalent to (2.1x + 4.3) - (-3x - 7)
A. -0.9x - 2.7
B. -0.9x + 11.3
C. 5.1.x - 2.7
D. 5.1 x + 11.3
Please actual answers
Answers
Explanation : combine like terms which is 5.1x and 3x and you get the answer D!
A tree is broken at a height of 7m from the ground and its top touches the ground at distance of 24m from the base of the tree. Find the original height of the tree. pls help with steps
Answers
then total height of tree=7+x
since it form a right angled triangle with base 24m and height 7m and hypotenuse be x
then by using Pythagoras theorem
(hypotenuse)^2=(base)^2+(height)^2
x^2=24^2+7^2
x^2=576+49
x^2=625
x=25
therefore height of tree =x+7=25+7=31
Olivia buys cookies and apples at the store.
• She pays a total of $24.79.
• She pays a total of $4.75 for the cookies.
• She buys 4 bags of apples that each cost the same amount.
Answers
Because $24.79-4.75= $20.04
You said she bought 4 bags of apples each costing the same so now you divide $20.04 by 4 giving you $5.01
State whether each set of hypothesis is valid for a statistical test and briefly explain why ?
Answers
Complete Question:
State whether each set of hypothesis is valid for a statistical test and briefly explain why ?
[tex]H_0 : \mu=10; \ \ \ H_a : \mu\ne10[/tex]
[tex]H_0 : p \ne 0.5; \ \ \ H_a : p = 0.5[/tex]
[tex]H_0 : p_1 < p_2; \ \ \ H_a : p_1 \supset p_2[/tex]
Answer:
[tex]H_0 : \mu=10; \ \ \ H_a : \mu\ne10[/tex] --- Valid
[tex]H_0 : p \ne 0.5; \ \ \ H_a : p = 0.5[/tex] --- Invalid
[tex]H_0 : p_1 < p_2; \ \ \ H_a : p_1 \supset p_2[/tex] --- Invalid
Step-by-step explanation:
For a test of hypothesis to be valid, the null hypothesis has to contain some form of equality i.e. [tex]=, \le,\ or\ \ge[/tex]
So, the above will be used to test for validity in the given tests of hypotheses.
[tex]H_0 : \mu=10; \ \ \ H_a : \mu\ne10[/tex]
This is valid because the null hypothesis has an equality sign.
The null hypothesis is: [tex]H_0:\mu = 10[/tex]
[tex]H_0 : p \ne 0.5; \ \ \ H_a : p = 0.5[/tex]
This is invalid because the null hypothesis does not have any equality sign. The null hypothesis is: [tex]H_0:p \ne 0.5[/tex]
[tex]H_0 : p_1 < p_2; \ \ \ H_a : p_1 \supset p_2[/tex]
This is invalid because the null hypothesis does not have any equality sign. The null hypothesis is: [tex]H_0:p_1 <p_2[/tex]
8) Does the table show a function? *
Answers
Answer:
yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
What is the solution to this system of linear equations?
y − 4x = 7
2y + 4x = 2
(3, 1)
(1, 3)
(3, −1)
(−1, 3)
Answers
Could someone help me with this?
Answers
Step-by-step explanation:
In first area before change = 216 in
but after change area =54 in
In second perimeter change = 18ft
but after change perimeter = 54ft
radius before change =16mm
but after change =8mm
Answer:
In first area before change=216 in.
but after change area= 54 in.
Ceil annual salary is $72,000. What is her biweekly salary?
Answers
Answer:
3000.00
Step-by-step explanation:
72,000 divide by 12 months = 6,000
6000.00 divide by 2 = 3000.00
how do i sketch a graph of y=2x that passes through the origin
Answers
Step-by-step explanation:
Given
Equation of line is [tex]y=2x[/tex]
Equation of line with slope m and intercept c on Y-axis is
[tex]y=mx+c[/tex]
Comparing the given line with slope-intercept form
[tex]\Rightarrow m=2\ \text{and}\ c=0[/tex]
The slope is also equal to [tex]\tan \theta[/tex]
[tex]\Rightarrow \tan \theta =2\\\Rightarrow \theta =63.43^{\circ}[/tex]
To sketch the equation of [tex]y=2x[/tex]
Make a line that passes through the origin at an angle of [tex]63.43^{\circ}[/tex] with the x-axis.Work out the length of AC.
Give your answer to 3 significant figures.
A
29 cm
23°
ch
B
Answers
Answer:
AC ≈ 11.3 cm
Step-by-step explanation:
Using the sine ratio in the right triangle
sin23° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{AC}{29}[/tex] ( multiply both sides by 29 )
29 × sin23° = AC , then
AC ≈ 11.3 cm ( to 3 significant figures )
What is the area of this figure?
Answers
Answer:
You split it into two parts then add them
Step-by-step explanation:
What is the product of 7 x 2/5 written as a mixed number?
Answers
Answer:
[tex] 2 \frac{4}{5} [/tex]
Step-by-step explanation:
[tex]7 \times \frac{2}{5} \\ \\ = \frac{7 \times 2}{5} \\ \\ = \frac{14}{5} \\ \\ = 2 \frac{4}{5} [/tex]
need to finish soon please help
Answers
If you take a number, times by 5 then add 7. You get the same as if you took the number, times by 9 then add 3. What is the number?
Answers
Answer: The number is 1
Step-by-step explanation:
5x + 7 = 9x + 3
5x + 7 - 5x = 9x - 5x + 3
7 = 4x + 3
7 - 3 = 4x + 3 - 3
4 = 4x
x = 1
Check work:
5(1) + 7 = 12
9(1) + 3 = 12
It works
Someone help and please make sure it’s right :)
Answers
Answer:
9
Step-by-step explanation:
[tex]11x + 1 + 7x + 17 = 180 \: \: \: \: 18x + 18 = 180 \: \: \: \: \: \: \: 18x = 180 - 18 \: \: \: \: \: \: \: \:18x = 162 \: \: \: \: \: \: \: \: \: \: 162 \div 18 = 9[/tex]
need helpppp gajsgajshajda
Answers
2.) 20
Steps:
1.) 180 = 3x + 136
180 -136 = 3x
44 = 3x
44/3 = x
14.66666666666667 = x
2.) 70 + x = 90
x = 90 - 70
x = 20
I would appreciate brainliest if this was helpful and correct! ;)
Jose weighs 45 pounds. His older brother, Saul, weighs 3 times as much as Jose and 5 times as much as their little brother, Nick. List the weights of each brother.
Answers
Saul is 135
Nick is 27
For which values of x will the rational expression below be undefined? Check
all that apply.
(x - 1)(x + 1)
X + 2
A. -1
B. 1
C. -2
D. 2
E. -5
F 5
Answers
Answer:
-2
Step-by-step explanation:
For the given expression to be undefined, this means that the denominator must be zero.
From the given expression, the denominator is x + 2
Equating this to zero;
x+2 = 0
Subtract 2 from both sides
x+2-2 = 0 -2
x = -2
Hence the value of x that makes it undefined is -2
Determine how far the vehicle travels in 3 hours.
A helicopter travels 240 miles every 2 hours.
Answers
Answer:
360 miles
Step-by-step explanation:
The unit rate here is (240 miles) / (2 hours), or 120 mph.
In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles
Answer:
360
Step-by-step explanation:
240/2 =120 So, you want to add 120 to 240 to get 360.
?− 4 = –11
please answer in steps
Answers
Answer:
-7-4=-11
Step-by-step explanation:
-7 - 4 = -11
If you add -11 with +4 you will get -7.
So you have -11+4=-7
and -7-4=-11
hope this helps
You are selling your car to buy a new one. The dealership is only offering you $3200 for your
12-year old car. If the dealership
states that a car's value depreciates at about $1300 yearly,
what did you pay for your car originally?
Answers
Answer:
$18800
Step-by-step explanation:
3200 + 12(1300)
3200 + 15600
Answer:
$15 600
Step-by-step explanation:
price now-$3200
yearly depreciate=$1300
in 12 years= 1300×12=$15 600
help me plz due today
Answers
x = 21
Will mark brainly
ASAP
Answers
. All clothing is being marked down 15%. Which expression represents the new retail price? A) 0.85x C 1.85x (B) 1.15x D 0.15x
Answers
Answer:
A
Hope that helps!
Step-by-step explanation:
The expression that represents all clothing is being marked down 15%.
is A) 0.85x.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
We know fractions and percentages are related.
Assuming the cost of clothing to be 'x'.
∴ After the markdown of 15% it is,
= {(100 - 15)/100}×x.
= {85/100}×x.
= 0.85x
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
What is the volume of the prism????
Answers
What is the root of the polynomial equation x(x-2)(x+3) = 18? Use a graphing calculator and a system of equations.
-3
0
ОООО
2
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Save and Exit
Next
Submit
Mark this and return
Answers
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
_____
We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.