Answer:
y=5.5x
Step-by-step explanation:
On a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time. Time (x) Height (y) 0 10 2 24 16 10 How high was the ball after 8 seconds? 20 feet 42 feet 96 feet 106 feet.
After 8 seconds the ball height was 42 units.
It is given that on a game show, contestants shoot a foam ball toward a target. The table includes points along one path the ball can take to hit the target where x is the time that has passed since the ball was launched and y is the height at this time.
It is required to find how high was the ball after 8 seconds.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
The orbit of the ball will be a parabola.
We know the standard form of a quadratic function:
[tex]\rm y=ax^2+bx+c[/tex] where [tex]\rm \\a\neq 0[/tex]
At x = 0 and y = 10, we get:
[tex]\rm 10 =a(0)^2+b(0)+c\\\rm 10= c\\\rm c=10[/tex]
At x = 2 and y=24, we get:
[tex]\rm 24= a(2)^2+b(2)+c\\\rm 24=4a+2b+10\\\rm 4a+2b=14[/tex]....(1)
At x = 16 and y = 10, we get:
[tex]\rm 10= a(16)^2+b(16)+c\\\rm 10=256a+16b+10\\\rm 256a+16b=0 \\[/tex]....(2)
By solving equations (1) and (2), we get;
a = - 1/2, b = 8 and c = 10
Putting these values in the standard form of a quadratic function, we get:
[tex]\rm y = - \frac{1}{2} x^2+8x+10\\[/tex]
Now, after 8 seconds means when x = 8, we get:
[tex]\rm y=-\frac{1}{2}\times 8^2 +8\times8+10\\\rm y = -32+64+10\\\rm y= 42[/tex]
Thus, after 8 seconds the ball height was 42 units.
Know more about the parabola here:
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Answer:
b
Step-by-step explanation:
Does anyone know the answers to these riddles?
Answer:
1. Something along they will cheetah (kind of like they will cheat)
2. Because it was a boxer
Answer:
1. They might be cheetahs!
2.Becasue it was a boxer!
Step-by-step explanation:
Hope this helps!
Brainliest is appreciated!
Have a great day!
~Mitsuna
As shown in the figure below, Amanda is looking at a tree that is leaning at an angle of 79° with respect to the ground. The angle of elevation from where
Amanda is standing to the top of the tree is 43°. The length of the tree is 66 feet. Find the distance, x, from Amanda to the base of the tree. Round your answer
to the nearest tenth of a foot.
661
feet
х
x
5
2
?
Answer:
3 plus 2 is 5
Step-by-step explanation:
the f tear is known to you
∠A and ∠B are complementary. The measure of ∠A is 21°.
What is the measure of ∠B?
Enter your answer in the box.
°
complementary angles is when the sum of two angles is equal to 90 degrees.
∠A + ∠B = 90°
21° + ∠B = 90°
∠B = 90° - 21°
∠B = 69°
Answer:
∠B = 69°
Step-by-step explanation:
Complementary angles are such pairs of angles that sum up to 90°. In this case, we are given that ∠A and ∠B are a pair of complementary angles. This means that ∠A and ∠B sum up to 90°.
⇒ [tex]\angle A + \angle B = 90\°[/tex]
⇒ [tex]21\° + \angle B = 90\°[/tex] [∠A = 21°]
⇒ [tex]\angle B = 90 - 21[/tex]
⇒ [tex]\angle B = 69\°[/tex]
Mathematicians at the University of Hawaii have tried to approximate the total number of grains of sand on the world's beaches. They calculated 7,500,000,000,000,000,000, or seven quintillion five hundred quadrillion. How is this number expressed in scientific notation?
7.5 × 10¹⁸
In order to transform in standard form / scientific notation.Count the zeros in a number.
the first number should be an absolute value like: a * b^10thus in scientific notation: 7.5 × 10¹⁸
another example:
number: 650,000,000 scientific notation: 6.5 × 10⁸IMPORTANT!
I will mark brainliest to first answer if it’s right.
I set the point value to 40!!!
Answer:
m = 5
p = 10
Step-by-step explanation:
Part A
The dashes on the lines mean that the lines are equal in length.
Therefore, IJ = IH and HK = KJ
So as IJ = IH
⇒ 10 = 2m
⇒ m = 10 ÷ 2
⇒ m = 5
Part B
The line IK is the bisector of angle I since IJ = IH and HK = KJ
Therefore, 2p - 5 = p + 5
subtract p from both sides:
⇒ 2p - 5 - p = p + 5 - p
⇒ p - 5 = 5
Add 5 to both sides:
⇒ p - 5 + 5 = 5 + 5
⇒ p = 10
A marker company makes 93,786 blue markers, 11,855 red markers, and 30,774 green markers. How
many more blue markers are made than red and green markers combined?
Answer:
91931 blue marker are made more than red
63012 blue marker are made more than green
HELLLLPPPPPPPPPPPPPP
Tanya performed an experiment in which she randomly pulled a marble from a bag, recorded its color, put it back, and then repeated. The following table represents the number of times each color of marble was pulled.
Color of Marble Frequency
Green 25
Blue 35
Purple 40
If Tanya repeats the experiment 50 more times, how many of those times should she expect to pull a purple marble?
Enter your answer as a number, like this: 42
Answer:20
Step-by-step explanation: Add all the marbles up = 100 divided by 2 = 50 so then divide the purple marble by 2 =20.
Tanya should expect to pull a purple marble for 8 times.
What is experimental probability?The experimental probability of an event is based on the number of times the event has occurred during the experiment and the total number of times the experiment was conducted.
Given that, Tanya performed an experiment in which she randomly pulled a marble from a bag,
Out of the experiment that Tanya performed, we can get an experimental probability.
This experimental probability is given by the quotient between the frequency for each color, and the total number of trials.
The total number of trials is:
N = 25 + 35 + 40 = 100
And on 40 of these, she got a purple marble, then the experimental probability of getting a purple marble is:
p = 40/100 = 0.4
Now, if she draws 50 marbles more, she should expect to get:
0.4×50 = 8
Hence, Tanya should expect to pull a purple marble for 8 times.
Learn more about experimental probability click;
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A fair six-sided die is rolled and then a coin is flipped twice.
Calculate the probability of getting a 2 on the die followed by two heads from the
coin.
Give your answer as a fraction in its simplest form.
Answer:
1/24
Step-by-step explanation:
First, we need to create a sample space to list the possible outcomes.
S = {1HH, 1HT, 1TH, 1TT, 2HH, 2HT, 2TH, 2TT, 3HH, 3HT, 3TH, 3TT, 4HH, 4HT, 4TH, 4TT, 5HH, 5HT, 5TH, 5TT, 6HH, 6HT, 6TH, 6TT}
No. of total outcomes = 4 x 6 = 24 outcomesOnly one outcome has getting a 2 on the die followed by two heads on the coinP(2 on die, then two heads) = 1/24Solution :-
1/24
hello people ~
factorise:21x²-43x-14
Answer:
[tex]\displaystyle [7x + 2][3x - 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the plus symbol because the B-value is −43, therefore 49 gets the minus symbol, leaving 6 with the plus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 - 43x - 14 \\ \\ [21x^2 + 6x] - [49x - 14] \\ 3x[7x + 2] - 7[7x + 2] \\ \\ \boxed{[7x + 2][3x - 7]}[/tex]
I am joyous to assist you at any time.
Caleb has a bag that contains orange chews, cherry chews, and peach chews. He performs an experiment. Caleb randomly removes a chew from the bag, records the result, and returns the chew to the bag. Caleb performs the experiment 20 times. The results are shown below: An orange chew was selected 15 times. A cherry chew was selected 3 times. A peach chew was selected 2 times. Based on these results, express the probability that the next chew Caleb removes from the bag will be cherry chew as a decimal to the nearest hundredth.
Answer:
0.15
Step-by-step explanation:
3/20= 0.15
15/100= 0.15
Write
3.12 x 10^8 in
Standard notation.
Answer:
312,000,000
Step-by-step explanation:
Standard notation is when you move the decimal however many times the 10 is being squared by. In this case, it is 8.
Since the 8 is not negative, we move it 8 times to the right.
Since there are only 2 digits, we add 6 more zeros because 2+6=8
that is how you get 312,000,000
100 BRAINLY POINTS!!!
The harvest results of a farm are shown in the graph below.
Which equation best models the relationship between the amount of compost used, x, and the harvest yield, y ?
A. y = x
B. y = 200x
C. y = x + 200
D. y = 200x + 200
EXPLAIN YOUR ANSWER
SHOW YOUR WORK
Note:-
Graph must not be drawn to scale so taken imaginary coordinates most near to accurate
So the cordinates are
(0,200)(200,400)(400,600)(600,800)Mark the change between x and y
400+200=600200+200=4000+200=200So
the relationship is
y=200+xOption C
Answer:
C. [tex]y=x+200[/tex]
Step-by-step explanation:
Line of best fit (trendline) : a line through a scatter plot of data points that best expresses the relationship between those points.
All the given options for the line of best fit are linear equations.
Therefore, we can add the line of best fit to the graph (see attached), remembering to have roughly the same number of points above as below the line.
Linear equation: [tex]y=mx+b[/tex]
(where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept)
From inspection of the line of best fit, we can see that the y-intercept (where x = 0) is approximately 200. So this suggests that either option C or option D is the solution.
We can also see that slope (gradient) is approximately 1, as for every +100 increase in x, y increases by +100.
[tex]\textsf{slope = rate of change}=\sf\dfrac{change \ in \ y}{change \ in \ x}=\dfrac{100}{100}=1[/tex]
Therefore, this suggests that C is the solution and that the closest approximation to the line of best fit is [tex]y=x+200[/tex]
If the graph of f(x)=x2, how will the graph be affected if the coefficient of x2 is changed to 3?
Answer:
435
Step-by-step explanation:
Transformations are used to change the orientation of a function to a new function. The graph of [tex]f(x) = x^2[/tex] will have its parabola widened when it changes to [tex]g(x) = 3x^2[/tex]
Given that
[tex]f(x) = x^2[/tex]
If the new function is:
[tex]g(x) = 3x^2[/tex]
It means that f(x) has been vertically translated by a scale factor of 3.
The graph will be affected such that the parabola of [tex]f(x) = x^2[/tex] will become widen when the coefficient changes to 3 i.e. [tex]g(x) = 3x^2[/tex].
See attachment for the graph of f(x) and g(x)
Read more about function transformation at:
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help asap!! just need it checked!
Answer:
Step-by-step explanation:
correct-
Answer:
It's wrong the first answer is correct
is (5,9) a solution to y=3x-6? Explain or show how you know.
Answer:
Yes
Step-by-step explanation:
Plug in the coordinate (5,9) into the equation
9=3(5)-6
9=15-6
9=9
The area A of a square is given. Find its side length.
Which side lengths are whole numbers?
a) A = 36 cm² b) A = 49 m2 c) A = 95 cm? d) A = 108 m2
Answer:
a &b
Step-by-step explanation:
The acceleration of a Maserati (sports car) is proportional to the difference between 250 km/h and its velocity. If the car can accelerate from rest to 100 km/h in 10 s, how long will it take for the car to accelerate from rest to 200 km/h?
Answer:
a) The differential equation for the velocity is given by
(dv/dt) = k(250 - v)
b) v(t) = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
Step-by-step explanation:
Acceleration, a ∝ (250 - v)
But acceleration is widely given as dv/dt
(dv/dt) ∝ (250 - v)
(dv/dt) = k(250 - v)
where k = constant of proportionality
(dv/dt) = k(250 - v)
b) (dv/dt) = k(250 - v)
dv/(250 - v) = k dt
∫ dv/(250 - v) = ∫ k dt
- In (250 - v) = kt + c (where c is the constant of integration)
v(0) = 0; meaning, at t = 0, v = 0
- In 250 = 0 + C
c = - In 250 = - 5.52
- In (250 - v) = kt - 5.52
In (250 - v) = 5.52 - kt
250 - v = e⁽⁵•⁵² ⁻ ᵏᵗ⁾
v = 250 - e⁽⁵•⁵² ⁻ ᵏᵗ⁾
With units of km/h
i hope this work for you
and sory if im wrang
round off 6406 to the nearest thousand
Answer:
6000
hope this helps =3
A cylinder has a height of 9 meters and a radius of 8 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
1808.64
Step-by-step explanation:
Given parameters:
Height of cylinder = 9 meters
Radius = 8 meters
To Find:
Volume of the cylinder = ?
Solution:
The volume of cylinder is given as;
Volume = π r ² h
9(3.14)8^2=1808.64
[RevyBreeze]
Solution:
Given:
Height of cylinder = 9 metersRadius of cylinder = 8 metersRecall that the volume of the cylinder is πr²h. Now, let's use the formula to find the volume of the cylinder.
[tex]\bullet \rightarrow \pi r^{2} h = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (\pi)(r^{2})( h) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(8^{2})( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow (3.14)(64)( 9) = \text{Volume of cylinder}[/tex]
[tex]\bullet \rightarrow \boxed{1808.64 \ m^{2} = \text{Volume of cylinder}}[/tex]
I need help with number 3
Answer:
a) 8 apples
b) 5 oranges
c) 2 oranges and 6 apples
Step-by-step explanation:
a) 8 apples × 1$ = 8$ < 10$
b) 5 oranges × 2$ = 10$
c) 2 oranges × 2$ = 4$
6 apples × 1$ = 6$ (4+6=10)
Answer:
(4 apples, 4 oranges)(4 apples, 3 oranges)(6 apples, 2 oranges)Step-by-step explanation:
The problem scenario gives rise to two equations. One describes the total number of fruit. It is plotted in blue. The other describes the total cost. It is plotted in red.
a)The total number of fruit will be 8 at any blue dot. (It will not cost $10 if that dot is not also red.) One such total is (4 apples, 4 oranges)
__
b)The total cost will be $10 at any red dot. (The fruit count will not be 8 if that dot is not also blue.) One such cost is (4 apples, 3 oranges)
__
c)The cost for 8 pieces of fruit will be $10 where the blue and red dots are plotted at the same point: (6 apples, 2 oranges)
Jack's father is three times older than Jack. Five years ago, the sum of their ages was 34. How old is Jack's father now?.
Will give brainliest, like 5 stars, comment and 5 points
The table represents the relationship between a length measured in meters and the same length measured in kilometers.
Complete the table.
Answer:
3,500=3.5
500=0.5
75=0.075
1=0.001
x=x÷1000
What is the y-intercept of 5x+4y=−40 ?
A.(8,−10)
B.(0,−10)
C.(0,8)
D.(−10,0)
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 4y = - 40 ( subtract 5x from both sides )
4y = - 5x - 40 ( divide all terms by 4 )
y = - [tex]\frac{5}{4}[/tex] x - 10 ← in slope- intercept form
with y- intercept c = - 10 ⇒ (0, - 10 ) → B
Step-by-step explanation:
To find the y intercept of the line we must first write the equation in standard form which is
y = mx + c
where
m is the slope
c is the y intercept
So we have
5x + 4y = - 40
4y = -5x - 40
Divide both sides by 4
We have the equation as
[tex]y = - \frac{5}{4} x - 10[/tex]
From the question the y intercept is - 10
We have the final answer as
( 0 , - 10)Hope this helps you
como resuelvo (×-8)(×+8
Answer:
The answer is zero(0) because x is the same and -8 + 8 would equal 0
Step-by-step explanation:
how many burgers can make from 1 billion cows ?
Answer:
1.186836*10^12 burger
Step-by-step explanation:
first, there is not even 1billion cows on earth, according to statista.com, there are 989.03 million billion cows on earth in 2019. according to the genus on the quora, you can make 1200 burger from 1 cow, so 989,030,000*1200
sign, 1.186836e+12.
How can you show that 20% of $165.00 is $33.00?
Can someone help me please thanks
Answer:
True
Step-by-step explanation:
0.20*165=33
Answer:
With the definition of percentage. 20% of something means multiplying it by 20 and then dividing the result by 100. In our case, [tex]165.00 \times 20 \div 100 = 33.00[/tex]
Alternatively, convert it into a fraction. 20 is 1/5 of 100 (alternatively, you need to pick 20 five times to get 100), and then you just multiply
[tex]165.00 \times \frac15 = 33.00[/tex]
Lesson 1 starts at 8:35 and each lesson lasts 60 minutes. There are 4 lessons and there is a 15 minute break between lesson 2 and 3
Manny’s Music Rental charges a fee of $40 plus $25 per month to rent a saxophone. Sid’s Saxophones charges $25 plus $30 per month to rent the same saxophone. Write the system of equation the represents the cost of Sarah's rental shop and another equation for David's rental shop.
Answer:
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
Step-by-step explanation:
Let x = number of months
Let y = total cost of renting a saxophone
Manny's Music Rental: y = 40 + 25x
Sid's Saxophones: y = 25 + 30x
The L.C.M of 15 and 25 is what?
Answer:
75 is the l.c.m of 15 and 25
explanation:
multiples:
15 - 15, 30, 45, 60, 75
25 - 25, 50, 75
Therefore, 75 is the l.c.m of 15 and 25 which is divisible by both numbers.
Answer:
75
Step-by-step explanation:
Prime factorization
15 = 5 x 3
25 = 5²
LCM (15, 25) = 5² x 3
= 25 x 3
= 75