Answer:
This is a function
Step-by-step explanation:
For every x value, there is at most one y value, so it can be expressed as a function.
A player located 18.6 ft from the basket launches a successful jump shot from a height of 10 ft (level with the rim of the basket), at an angle θ = 36º and an initial velocity of v = 25 ft/s. Find the change of distance Δs of the toss if the angle changes by an amount Δθ. Hint: Use the following fact derived from Newton's Laws: An object released at an angle θ with initial velocity v ft/s travels a total distance [tex]s=\frac{1}{32} v^{2} sin(2\theta)[/tex]
Answer:
Step-by-step explanation:
You suck free points
The change of the distance travelled by the ball when the angle of launch
changes can be found by linear approximation.
The change in the distance, Δs, when the angle changes by Δθ in radians is approximately 0.211·Δθ.Reasons:
The distance of the player from the basket = 18.6 ft.
Height from which the jump shot is launched = 10 ft.
Angle of the jump shot = 36°
The initial velocity = 25 ft./s
According to Newton's Law of motion, the distance an object travels when
released at an angle θ, with an initial velocity, v, is given by the following
horizontal range formula equation;
[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]
[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]
By linear approximation, we have;
[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]
Which gives;
[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]
360° = 2·π radians
[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]
Δs ≈ 0.211·Δθ
Therefore;
The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.
Learn more here:
https://brainly.com/question/17026396
Rounding Decimals 5.5252; ones
Answer:
6
Step-by-step explanation:
Identify the ones place and check the number to the right.
5.5252
Since we round up if the number to the right is greater than or equal to 5, and the number is a 5, we round up.
Therefore,
5.5252 ≈ 6
Hope this helps.
2.3 × 2² ÷ 2- 8·9 help please
Answer:
67.4
Step-by-step explanation:
PLS HELP ME
simplify 4/9+3/7
Answer:
I dont think it can be simplified any more
Step-by-step explanation:
Answer:
55/63
Step-by-step explanation:
combine the fractions by combining the common denominator
on slope. find the coordinate
Answer:
36
Step-by-step explanation:
Using the slope formula:
slope = (y2-y1)/(x2-x1)
1/8 = (-10+6)/(4-w)
1/8 = -4/(4-w)
We can cross multiply to solve for w:
-32 = 4-w
w = 36
How do I solve this and check all the solutions?
Answer:
sir answer is x=6
Step-by-step explanation:
I hope this 9s ok
[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]
Given Eq:
√x + 3 = x - 3Solving this:
Squaring both sides,
➝ x + 3 = (x - 3)²
➝ x + 3 = x² - 6x + 9
Now shifting RHS to LHS,
➝ x + 3 - x² + 6x - 9 = 0
➝ -x² + 7x - 6 = 0
➝ x² - 7x + 6 = 0
Now finding the values of x by middle term factorisation,
➝ x² - 6x - x + 6 = 0
➝ x(x - 6) - 1(x - 6) = 0
➝ (x - 1)(x - 6) = 0
➝ x = 1 or 6.
But here, you can see, x = 1 is not a solution to the original equation because when we say about square roots, value can't be negative.
Hence,
As a result, the only valid solution to the original equation is x = 6.⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]
helpppppp. (the other one cut out is multiplication property of equality)
Answer:
The second step is Distributive Property and the third is Subtraction Property of Equality
Step-by-step explanation:
The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.
The third step involves the subtraction of "x" from the right hand side and the left hand side.
A large basket of fruit contains 3 oranges, 2 apples and 5 bananas. If a piece of fruit is chosen
at random, what is the probability of getting an orange or a banana?
Answer:
8/10
Step-by-step explanation:
3+2+5=10 options in total. 3 oranges and 5 bananas means 3+5=8 --> 8/10 chance of picking an orange or banana
given f(x)=4-3x, what is the value of f(5)?
Answer:
-11
Step-by-step explanation:
Please help me I'm failing and I'm so confused!!!!!!!
Answer:
y=9
x=26
Step-by-step explanation:
5x-17+3x-11=180
8x-28=180
8x=208
x=26
5(26)-17
130-17
113
2y+5+90=113
2y+95=113
2y=18
y=9
Answer:
x=26
y=9
Step-by-step explanation:
(5x-17)+(3x-11)=180
8x-28=180
8x=208
x=26
(2y+5)+90[the right angle]+(3x-11)=180
2y+95+3(26)-11=180
2y+84+78=180
2y+162=180
2y=18
y=9
I’m kinda confused of where I out the yes
Answer:
put the yes in the second box, fourth box, and fifth box.
Step-by-step explanation:
trust me, your welcome
What is the image of (-4,9) after a dialation by a scale factor of 3 centered at the origin
Answer:
-12,27
Step-by-step explanation:
y=7-x in standard form please help
Answer:
x + y = 7
Step-by-step explanation:
What is the first step to evaluate 33 + 46 – 14?
Answer:
You would add 33 and 46 together to get 79.
Then you would do 79-14 and get 65 as the total answer
Step-by-step explanation:
Answer:
Addition
Step-by-step explanation:
You use Order of Operations or PEMDAS (parenthesis, exponents, multiplication, division (left to right), addition, subtraction (left to right)).
What is the value of (2x)° + 1
Answer:
=2x+1
Step-by-step explanation:
I am pretty sure that is the answer
What is the value of 2/11 divided by 3/11? *
5 points
6/121
2/3
3/2
121/6
Answer:
the answer is 2/3
Step-by-step explanation:
(2/11)/(3/11)=2/3
Answer:
Exact Form:
2 /3
Decimal Form:
0. 6 repeating
Step-by-step explanation:
What is 3x+1-x=5 answer quick
Answer:
x=2
Step-by-step explanation:
3x+1-x=5
add like terms
2x+1=5
subtract 1 from both sides
2x=4
divide by 2 from both sides
x=2
Answer:
3x+1-x=5
2x+1=5
2x=4
x=2 please give me brainlist
Step-by-step explanation:
Right Answer Gets Brainliest
A number b minus 6.9 is less than or equal to 12. Write this word sentence as an inequality.
Answer:
b-6.9 ≤ 12
Step-by-step explanation:
Samantha claims that 4x + 2 is equivalent to the expression x + 17 + 3x − 15. Check whether Samantha’s equivalent expression is correct using x = 2. Samantha is incorrect because when using x = 2, the resulting values in both expressions are different. Samantha is incorrect because the expressions cannot be checked using x = 2. Samantha is correct because when using x = 2, the resulting values in both expressions are equal.
Answer:
The correct answer is c
Answer:
Answer is c
Step-by-step explanation:
Your welcome
NEED HELP ASAP WILL GIVE BRAIN
Review the diagram.
On a coordinate plane, a vector labeled 120 meters forms angle 25 degrees with the x-axis. It goes to point mirror 1. Another vector labeled 90 meters goes from point mirror 1 to mirror 2. It forms angle 20 degrees with a horizontal line. Point mirror 2 goes to (0, 0).
A laser beam is aimed 25° from horizontal at a mirror 120 m away. The beam bounces off the mirror and continues for an additional 90 m at 20° above horizontal until it hits a target, mirror 2. What is the distance between the origination point and the target?
approximately 85 m
approximately 122 m
approximately 174 m
approximately 194 m
Answer:
Vectors are usually described in terms of their components in a coordinate system. Even in everyday life we naturally invoke the concept of orthogonal projections in a rectangular coordinate system. For example, if you ask someone for directions to a particular location, you will more likely be told to go 40 km east and 30 km north than 50 km in the direction 37° north of east.
In a rectangular (Cartesian) xy-coordinate system in a plane, a point in a plane is described by a pair of coordinates (x, y). In a similar fashion, a vector
→
A
in a plane is described by a pair of its vector coordinates. The x-coordinate of vector
→
A
is called its x-component and the y-coordinate of vector
→
A
is called its y-component. The vector x-component is a vector denoted by
→
A
x. The vector y-component is a vector denoted by
→
A
y. In the Cartesian system, the x and y vector components of a vector are the orthogonal projections of this vector onto the x– and y-axes, respectively. In this way, following the parallelogram rule for vector addition, each vector on a Cartesian plane can be expressed as the vector sum of its vector components:
Step-by-step explanation:
Answer:
approximately 85 m
Step-by-step explanation:
use the law of cosines
x²=120²+90²-2(120)(90)cos(45)
*120 & 90 are given values
*45 is from 25+20; bcuz of alternate interior angles, the other angle from mirror 1 is 25 degrees, making the total 45 degrees
x=√120²+90²-2(120)(90)cos(45)
x=85, the distance btwn origin point and mirror 2
4x + 1 = 2x-5 HELP QUICKKKKKKKKKKKKKKK
Answer:
4x_2x=_5_1
2x=_6
2x/2=_6/2
X=_3
Answer:
x = - 3
Step-by-step explanation:
Given
4x + 1 = 2x - 5 ( subtract 2x from both sides )
2x + 1 = - 5 ( subtract 1 from both sides )
2x = - 6 ( divide both sides by 2 )
x = - 3
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Answer:
hruehufheuhuirfeuiwhfiueh
Step-by-step explanation:
nfjdnsjfndjfnjrhurewkjl jfe;wajifehji frejkafn
Answer:
I believe it is D.
Step-by-step explanation:
In the problem it says that g is greater than or equal to 5. This means that the circle or dot on the number five will be closed and the arrow will be pointing the right, where the values greater than 5 are located. The closed circle means that g can be equal to five, or it could be greater. A open circle means that the variable cannot be the value in which it is placed on.
In an inequality, 0.5 is the greater number. What will the position of the other number be in relation to 0.5 on the vertical number line? What is the answer?! Help plz.
Answer:
Closer to 0 than 0.5, or under zero
Step-by-step explanation:
On a vertical number line, anything above zero is positive, and anything under zero is negative. If 0.5 is the greater number, then it has to be closer to zero, or under it.
Answer:
The other number would be located below 0.5 on the vertical number line.
Step-by-step explanation:
1-2 Attributes of Functions
Find the domain, range, and intercepts of the function f (x) = 7x + 11
O A
OB.
domain: (-00,00) ; range:
domain: (-00,00) ; range: (–00,00) ix-intercept: (11,0) : v-intercept: (0, - 2)
[-4,11] :x-intercept: (11,0) : vintercept: (0, - )
[- 4,0] :x-intercept: ( - 4,0) : v-intercept:(0, 11)
domain: (-00,00) + range: (–00,00) : x-intercept: (- 4,0) : vintercept:(0, 11)
C.
domain: (0, 11] : range:
D.
Given:
The function is
[tex]f(x)=7x+11[/tex]
To find:
The domain, range, and intercepts of the function.
Solution:
We have,
[tex]f(x)=7x+11[/tex]
It is a linear function, and domain and range of these types of functions are all real numbers.
[tex]Domain:(-\infty,\infty)[/tex]
[tex]Range:(-\infty,\infty)[/tex]
Put x=0 in f(x), to find the y-intercept.
[tex]f(0)=7(0)+11[/tex]
[tex]f(0)=0+11[/tex]
[tex]f(0)=11[/tex]
So, the y-intercept is 11.
Put f(x)=0 in f(x), to find the x-intercept.
[tex]0=7x+11[/tex]
[tex]0-11=7x[/tex]
[tex]-11=7x[/tex]
Divide both sides by 7.
[tex]\dfrac{-11}{7}=x[/tex]
So, the x-intercept is [tex]\dfrac{-11}{7}[/tex].
Therefore, [tex]Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : (\dfrac{-11}{7},0),[/tex] [tex]y-intercept :11[/tex].
Megan has 3 red marbles, 6 blue marbles, and 9 yellow marbles. What is the ratio of red marbles to blue marbles?
A.
(6/3) or 6:3
B.
(3/6) or 3:6
C.
(6/9) or 6:9
Answer: B. 3/6
Step-by-step explanation:
The ratio is how much of it is it. So if there’s 3 red marbles, and 6 blue, you put it so if the ratio is red to blue you’d put 3/6 let’s say it was blue to red, then you’d put 6/3.
AT the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth foot, find the direct distance between Jalen and the entrance.
Answer:
131.58 feet
Step-by-step explanation:
Let the coordinates of the entrance be (0, 0). Since the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). Also, the swings are located 23 feet west and 124 feet north of the entrance. The coordinates of the swings are (-23, 124).
So, we find the distance, d between the Ferris wheel and the swing using
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where d is the distance between coordinates (x₁, y₁) and (x₂, y₂).
Now (x₁, y₁) = (95, 156) and (x₂, y₂) = (-23, 124)
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
d = √[(-23 - 95)² + (124 - 156)²]
d = √[(-118)² + (-68)²]
d = √[13924 + 4624]
d = √18548
d = 136.191 feet
Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 136.191/8 = 51.072 feet ≅ 51.07 feet
We now calculate the distance d' of the Ferris wheel to the gate. Since the coordinates of the gate are (0, 0) and the coordinates of the Ferris wheel are (95, 156), we use
d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
Now (x₁, y₁) = (0, 0) and (x₂, y₂) = (95, 156)
So, d" = √[(x₂ - x₁)² + (y₂ - y₁)²]
d" = √[(95 - 0)² + (156 - 0)²]
d" = √[95² + 156²]
d" = √[9,025 + 24,336]
d" = √33,361
d" = 182.65 feet
Now the direct distance, D between Jalen and the entrance is thus distance from Ferris wheel to entrance minus distance from Jalen to Ferris wheel = d" - d'
= 182.65 feet - 51.07 feet
= 131.58 feet
What is m<1 and m<2
A 40
B 50
C 140
D 90
Answer:
here...... m′<1 = 40°and m'<2= 20°------++++--------sum of angle of triangle is 180°Bill purchased x hotdogs and y hamburgers at a baseball game. He spent a total of $10. A hotdog costs 3 dollars and a hamburger costs 4 dollars. Write a linear equation to represent the situation. How many hot dogs and hamburgers did Bill buy?
Answer:
Bill bought 2 hotdogs and 1 hamburger.
Step-by-step explanation:
If Bill spent $10 total, and a hotdog costs $3 while the hamburger costs $4, then find how many times 3 and 4 go into 10. 3 goes into ten 3 times, and 4 also goes into 10 3 times. but if it was 2 hamburgers and a hotdog, Bill would have spent $11. This is because 4+4=8 and if you add 3 you get 11. But if you do it the other way around, 3+3=6, and if you add 4 to 6 you get 10. Son your answer has to be 2 hotdogs and 1 hamburger, or, X=2 and Y=1.
Which of the following expressions has a value less than or equal to 514?
I. 0.52 × 10
II. 12 × 12
III. -0.2 × -23
10.6n - 45.92 = 18.8 solve for n
Answer:
Step-by-step explanation:
10.6n - 45.92 = 18.8 Add 45.92 to both sides
10.6n = 18.8 + 45.92 Combine like terms on the right
10.6n = 64.72 Divide by 10.6
n = 64.72 / 10.6
n = 6.11