The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
We have,
Let's denote the time as t.
Horizontal motion:
The skateboarder's horizontal velocity remains constant throughout the jump, so the horizontal position (x) can be represented as:
x = vt
where v is the horizontal velocity, which in this case is 52 ft/s.
Vertical motion:
The vertical position (y) can be determined using the equations of motion under constant acceleration.
The skateboarder experiences acceleration due to gravity (g) acting downward.
The initial vertical position is 5 ft, and the initial vertical velocity is
0 ft/s.
Using the equation of motion:
[tex]y = y_0 + vy_0t + 0.5gt^2[/tex]
Substituting the given values:
y = 5 + 0t + 0.5(32)t²
y = 5 + 16t²
Thus,
The set of parametric equations representing the skater's jump is:
x = 52t
y = 5 + 16t²
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A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
for correct answers)
a) How many sides does it have?
b) What is the sum of the interior angles?
c) What is the measure of one of its exterior angles?
Answer:
a) 40 sides
b) 6840
c) 9 gegrees
Step-by-step explanation:
interior angle= (n-2)180
n
[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]
so total number of sides is 40
b) Sum of interior angles= (n-2)×180
(40-2)×180
38×180
6840
c) Exterior angle = 360 ÷ n
360÷40 =9 degree
help please it would be very much appreciated!!!!!!
thank you
HELP PLEASE Find the slope of the linear model
Answer:
Take two values
31.5-27/1= 4.5
Hence slope is 4.5x
find the area of a trapezoid
Answer:
the right answer is
270 squared unit
how many sides do tahe polygon have?
Triangle - 3 Sides Square - 4 Sides
Pentagon - 5 Sides Hexagon - 6 sides
Heptagon - 7 Sides Octagon - 8 Sides
Nonagon - 9 Sides Decagon - 10 Sides
Answer:
Triangle 3
Quadrilateral 4
Pentagon 5
Hexagon 6
translate the sentence into an equation.
six more than the product of a number and 3 equals 4
use the variable x for the unknown number.
Answer:
6 + 3x = 4
Step-by-step explanation:
6 + 3x = 4
More means addition: 6 +
Product means multiplication: 3 × x = 3x
Equals means an equal sign: = 4
To solve for x, isolate the variable:
6 + 3x = 4
3x = -2
x = -2/3
Helpppppppppp meeeeeeeeeee
Answer:
D
Step-by-step explanation:
Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?
Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the value of d
Answer:
[tex]c = -6[/tex]
[tex]d = -1[/tex]
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
[tex]a = (3,5)[/tex] --- Point on A
[tex]a' = (-3,-6)[/tex] --- Corresponding point on B
When A is reflected across the x-axis, the rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](3,5) \to (3,-5)[/tex]
Next, is to calculate the translation from [tex](3,-5)[/tex] to [tex](-3,-6)[/tex]
This is calculated using:
[tex]3 + c = -3[/tex]
and
[tex]-5 + d = -6[/tex]
So, we have:
[tex]3 + c = -3[/tex]
[tex]c = -3-3[/tex]
---- i.e. Shift by 6 units to the left
[tex]-5 + d = -6[/tex]
[tex]d = 5 - 6[/tex]
[tex]d = -1[/tex] --- i.e. Shift by 1 unit down
Katniss is a good hunter, gatherer, and caretaker.
Simple or Compound? And why...
Answer:
It is compound because it is explaining
Step-by-step explanation:
Answer:
Simple, It's As Simple As Possible
hello please help i’ll give brainliest
Answer:
b
Step-by-step explanation: it the only one make scence
Answer:
Abiotic would be the correct answer!
Hope this helps!
What value(s) can x have if |x| = 94?
Answer:
absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0.
Step-by-step explanation:
Answer:
x=94 or -94
Step-by-step explanation:
x=94 or -94
a/7 =9
a=?
What does a=?
Answer:
a = 63
Step-by-step explanation:
Let's double check,
63 ÷ 7 = 9
---------
I got the answer by multiplying the 9 and the 7, making it 63.
---------
Have a good day :)
Answer:
A is equal to 63
Step-by-step explanation:
How you ask? multiply 7 on both sides. 9×7 is 63
(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°
Answer:
b
Step-by-step explanation:
HELP PLS
The figure below has a point marked with a large dot.
First, translate the figure 8 units to the left.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
(1, -7) .................
What is the slope of the line
Answer:
0
Step-by-step explanation:
Line is parallel to the x-axis,
Therefore slope = 0
(Any line which is parallel to the x-axis has zero slope)
A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?
Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
Total number of people in Texas = 275
Total number of people in California = 150
Total number of people in California and preferring brand B = 54
Probability of people in California,
P(California) = Number of people in California / Total number of people
⇒ [tex]\frac{150}{275}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
Probability of people in California and preferring brand B
P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B
⇒ [tex]\frac{54}{99}[/tex]
⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]
In the data provided, each event is not dependent on other events.
Thus they are independent events.
Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.
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Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
I think it's d sorry if wrong
Answer:
2 lb 1 oz
Step-by-step explanation:
There are 16 ounces in one pound, and since one candy bar weighs 3 ounces 3 x 11 = 33. 33 Ounces is equal to option D :)
Which of the relations given by the following sets of ordered pairs is not a function?
HELPPPPP :((((( IF YOU SEND LINK I WILL REPORT YOU
Answer:
Hi, there your answer will be C.
Step-by-step explanation:
The reason why is because X(Input) can not be repeated the same
for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function
Also, if you're having trouble with Functions and nonfunctions
REMEMBER THS
Function: X and y has to be separarte and can't have the same X
NON-FUNCTION- WHEN X REPEATS ITSELF
Hope this helps :)
a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2
Answer:
[tex]2( {x + 7})^{2} + 5[/tex]
Step-by-step explanation:
Our Standard form for each of these transformations is
[tex]a( {x + h)}^{2} + k[/tex]
Insert each value into the appropriate.
K is for vertical movement
h is for horizontal
a is for stretching/compression
find the surface area
Answer:
aww you had my question opennnn
Step-by-step explanation:
BRAINLIEST IF CORRECT, NO LINKS OR SPAM ALLOWED
Answer:
b: 100
c:yes
d: younger, more, small/younger
Step-by-step explanation:
PLEASE HELP ME WITH THIS THANK YOU!!!! 12 points!!
Answer:
D
Step-by-step explanation:
You owe $1,350.00 on a credit card with a 14.25% APR. You pay $300.00 at the beginning of
the month How much interest do you save by paying at the beginning of the month versus
at the end of the month?
What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)
Answer:
A. -6,-36
Step-by-step explanation:
Right on EDG 2021.
The vertex of the function f(x) = x² + 12x is (-6, -36).
What are Quadratic Functions?Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.
The general form of a quadratic function is f(x) = ax² + b x + c.
Given is a quadratic function,
f(x) = x² + 12x
Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))
Here, a = 1, b = 12 and c = 0
-b/2a = -12 / 2 = -6
f(-b/2a) = f(-6)
= (-6)² + (12 × -6)
= 36 - 72
= -36
Hence the vertex of the given function is (-6, -36).
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What kind of triangle is this?
Answer:
answer: obtuse
Step-by-step explanation:
Hope that helps!
Preciso de ajudar nessa questão que segue em anexo.
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
Natasha walked from the library to the grocery store then to her house. The diagram shows the top of the locations of these three places and their distances from each other.
Which measurement is closest distance in miles from Natasha’s house to the library?
A. 2.6 mi
B. 1.9 mi
C. 1.4 mi
D. 2.3 mi
PLEASE HELP!!!!
Find the function value. f(-2) if f(x) = -x + 31
Answer:
33
Step-by-step explanation:
In f(x) = -x + 31 replace each instance of x with -2:
f(-2) = -(-2) + 31 = 33
Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $4.25 per hour. Waitress B is offering her services for an initial $23 in addition to $3.25 per hour. When will the two waiters charge the same amount of money?
At _ hours, both waiters will charge the same amount, $_.