Which equation can be used to find the time, t, it takes for the ball to reach the ground?
Answers
Check the picture below, well that picture is using feet, but is pretty much the same curve for meters.
notice, it hits the ground when y = 0, or h(t) = 0, thus
[tex]\bf ~~~~~~\textit{initial velocity} \\\\ \begin{array}{llll} ~~~~~~\textit{in meters} \\\\ h(t) = -4.9t^2+v_ot+h_o \end{array} \quad \begin{cases} v_o=\stackrel{12}{\textit{initial velocity of the object}}\\\\ h_o=\stackrel{1.8}{\textit{initial height of the object}}\\\\ h=\stackrel{}{\textit{height of the object at "t" seconds}} \end{cases} \\\\\\ 0=-4.9t^2+12t+1.8\implies -4.9t^2+12t+1.8=0[/tex]
There are several equations that can be used to find the time for a ball to reach the ground in projectile motion. The specific equation depends on the given information and scenario.
Explanation:The equation that can be used to find the time it takes for the ball to reach the ground depends on the specific scenario and information given. There are several equations that can be used for projectile motion, including those that involve quadratic equations or simple equations of motion. It is important to analyze the given information and use the appropriate equation to solve for the time. For example, the quadratic formula can be used to find the time for projectile motion with vertical motion only, while the equation x = xo + vot + at² can be used to solve for the time when the initial and final positions and velocities are known.
Learn more about Projectile motion here:https://brainly.com/question/29545516
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Related Questions
Is six grade at carter middle school conducted a survey of 300 students to determine your favorite ice cream flavor of the students surveyed 20% selected chocolate chip cookie dough
Answers
20% of 300 would come out to be 60 six graders who think cookie dough is best
What expression is equivaltent to 4(2x+1)-(-6x)
Answers
Answer:
14x + 4
Step-by-step explanation:
An equivalent expression is an expression which is equal. It can be a simplified form or expanded form. Here lets simplify by using the distributive property.
4(2x+1) - (-6x)
8x + 4 + 6x
14x + 4
This is the simplified equivalent form. It can also be written in expanded form as 2(7x + 2).
What is the volume of the square pyramid with base edges 12 cm and height 12 cm?
Answers
Answer:
V=144
Step-by-step explanation:
To find the volume of a pyramid, use the formula V=B•h, B being the base and h the height. So 12•12=144.
The answer is 576 cm
.......................................
what is the frequency of a wave if the wavelength is 100 m and the speed is 200 m/s?
A. 2 Hz
B. 100vHz
C. 0.5 Hz
D. 200,000 Hz
Answers
The frequency is 2Hz
Step-by-step explanation:Using the formula
Wavelength = speed / FrequencyArranging the equation
Frequency = Speed / Wavelength
Frequency = 200 / 100
Frequency = 2 Hz
What is the difference between 8x3 – 2x2 + 5x – 7
and 5x3 – 3x2 – 2x + 4?
Answers
Answer:
First polynomial minus the second polynomial:
3 x³ + x² + 7 x - 11.
Step-by-step explanation:
The question asks for the difference between the two cubic polynomials (maximum power of x is three.) As the other answerer mentioned, the question doesn't say anything about the value of x. In that case, the difference between the two polynomials will still be a polynomial about x.
The power x in the difference can be as high as three. Assume that to be a cubic polynomial.
? x³ + ? x² + ? x + ?.
What are the values of each coefficient?
For example, the coefficient in front of x³ in the difference is the difference between the coefficients of x³ in the two original polynomials.
The coefficient of x³ in the first polynomial 8 x³ - 2 x² + 5 x - 7 is 8.The coefficient of x³ in the second polynomial 5 x³ - 3 x² - 2 x + 4 is 5.Subtract the second coefficient from the first. 8 - 5 = 3. In other words, 3 is the value of the x³ coefficient in the difference.
3 x³ + ? x² + ? x + ?.
Repeat this step for the x² and x coefficients.
x²: -2 - (-3) = -2 + 3 = 1.x: 5 - (-2) = 5 + 2 = 7.3 x³ + x² + 7x + ?.
The constant in the difference is the difference between the two constants.
-7 - 4 = -11.
Hence the difference:
3 x³ + x² + 7x - 11.
Alternatively, group the terms by the power of x:
(8 x³ - 2 x² + 5 x - 7) - (5 x³ - 3 x² - 2 x + 4)
= (8 x³ - 5 x³) + (-2 x² + 3 x²) + (5 x + 2 x) + (-7 - 4)
= 3 x³ + x² + 7 x - 11.
find the product of -4x 3 y 2(7xy 4)
Answers
Answer:
What are the signs between the numbers?
Step-by-step explanation:
Answer:
The product of -4x^3y^2(7xy^4) is (2^6•7y^6x)
which expression is equivalent to the expression (7×2)^7
Answers
Answer:
9^7
Step-by-step explanation:
7*2=9
A computer rounded the number 129. 257 to the nearest hundredth what is this number rounded to the nearest hundredth
Answers
129.26 because 7 is over 5
What is the volume of the following rectangular prism?
Answers
Answer:
The volume of the rectangular prism is [tex]8\frac{1}{2}\ units^{3}[/tex]
Step-by-step explanation:
we know that
The Volume of a rectangular prism is equal to
[tex]V=BL[/tex]
where
B is the area of the base
L is the length of the prism
In this problem we have
[tex]B=2\frac{1}{8}\ units^{2}=\frac{8*2+1}{8}=\frac{17}{8}\ units^{2}[/tex]
[tex]L=4\ units[/tex]
substitute
[tex]V=(\frac{17}{8})(4)=\frac{17}{2}=8\frac{1}{2}\ units^{3}[/tex]
Television sizes are determined by the length of their diagonal measure. Michael just bought a new television. The height of the television is 40 inches and the length is 71.5 inches. Using the Pythagorean Theorem, what is the size of Michael’s new television? Round your answer to the nearest whole inch (whole number).
Part A: What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse? The legs have already been given. I’m looking for the hypotenuse.
Part B: Set-up your equation by substituting the correct numbers in to the formula.
71.5^2+40^2=c^2
Part C: Solve for the missing length. Remember to show ALL work for each step.
Part D: What is the size of the television rounded to the nearest whole inch (whole number)?
PART A AND B ARE DONE ALREADY
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER.
Answers
Answer:
Part A) The legs have already been given. I’m looking for the hypotenuse
Part B) [tex]c^{2}=40^{2} +71.5^{2}[/tex]
Part C) The missing length is [tex]81.93\ in[/tex]
Part D) [tex]82\ in[/tex]
Step-by-step explanation:
Part A) What parts of the right triangle have you been given? Are you looking for a leg or the hypotenuse?
we know that
Applying the Pythagoras Theorem
[tex]c^{2}=a^{2} +b^{2}[/tex]
where
c ----> is the hypotenuse of the right triangle
a and b -------> are the legs of the right triangle
In this problem we have
[tex]a=40\ in[/tex]
[tex]b=71.5\ in[/tex]
so
The legs have already been given. I’m looking for the hypotenuse
Part B) Set-up your equation by substituting the correct numbers in to the formula
we have
[tex]a=40\ in[/tex]
[tex]b=71.5\ in[/tex]
substitute in the Pythagoras Theorem and solve for c (hypotenuse)
[tex]c^{2}=40^{2} +71.5^{2}[/tex]
Part C) Solve for the missing length
we have
[tex]c^{2}=40^{2} +71.5^{2}[/tex]
solve for c
[tex]c^{2}=1,600 +5,112.25[/tex]
[tex]c^{2}=6,712.25[/tex]
[tex]c=\sqrt{6,712.25}\ in[/tex]
[tex]c=81.93\ in[/tex]
Part D) What is the size of the television rounded to the nearest whole inch (whole number)?
[tex]81.93=82\ in[/tex]
The Pythagorean Theorem is used to find the size of the TV, which is the hypotenuse in this scenario and equals to approximately 82 inches when rounded to the nearest whole inch.
Explanation:Since we've set up our equation as 71.5^2+40^2=c^2, we can now simply solve for c, which is our hypotenuse, and in this case, represents the size of the television.
To do so, calculate the square of both given sides and add them: (71.5)^2 + (40)^2 = 5112.25 + 1600 = 6712.25.
The next step is to take the square root of that sum to get the length of the hypotenuse/c: sqrt(6712.25) = ~81.94 inches
Part D: Now, to answer the final part of your question, if we round this result to the nearest whole inch, we get 82 inches as the size of the new television.
Learn more about Pythagorean Theorem here:https://brainly.com/question/28361847
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For St. Patrick's day, Mrs. G's sixth grade class was given a choice of four different drinks. One quarter of the class chose green milkshakes, one third of the class chose green ginger ale, one eighth of the class chose the green milk and one sixth of the class chose green juice. How many students did not have a drink?
Answers
Answer:
1/8 of the number of students
Step-by-step explanation:
1/4 + 1/3 + 1/8 + 1/6 =
= 6/24 + 8/24 + 3/24 + 4/24
= 21/24
= 7/8
7/8 of the class chose drinks.
1 - 7/8 = 8/8 - 7/8 = 1/8
That means that 1/8 did not have a drink.
Since we don't know the number of students in her class, we cannot tell the number of students who did not have a drink, but we do know it is 1/8 of the number of students.
9 is 15% of what number? Enter your answer in the box
Answers
Answer:
60
Step-by-step explanation:
Is means equals and of means multiply
9 = 15% * N
Change to decimal form
9 = .15 N
Divide each side by .15
9/.15 = .15N/.15
60 = N
Answer: hi the answer is 60 hope i helped
Step-by-step explanation:
what is the exact volume of the cylinder?
Answers
Answer:
54π in³
Step-by-step explanation:
The volume (V) of a cylinder is calculated using the formula
V = πr²h ( r is the radius and h the height )
here r = 3 and h = 6, thus
V = π × 3² × 6 = π × 9 × 6 = 54π in³ ← exact value
EASYY 90 POINTSS, I WILL GIVE BRAINLEASSTTTT..1
3. The triangle will be dilated by a scale factor of 2.5.
(a) What is the length of each of the sides after the dilation?
(b) Draw the new image and label it .
Answers
Answer:
Part a) The length of each of the sides after the dilation is
[tex]A'B'=30\ units[/tex]
[tex]B'C'=25\ units[/tex]
[tex]A'C'=35\ units[/tex]
Part b) The graph in the attached figure
Step-by-step explanation:
Part a) What is the length of each of the sides after the dilation?
In this problem we have that the scale factor is 2.5
The scale factor is greater than 1
so
The dilation is an enlargement
To find the length of each of the sides after the dilation, multiply the original length by the scale factor
so
[tex]A'B'=AB*2.5=12*2.5=30\ units[/tex]
[tex]B'C'=BC*2.5=10*2.5=25\ units[/tex]
[tex]A'C'=AC*2.5=14*2.5=35\ units[/tex]
Part b) Draw the new image and label it
using a graphing tool
see the attached figure
Answer:
Do you still need help with this? If so just say if you do in the comments and I can probably help.
Step-by-step explanation:
Plz help !! Needed to graduate
Answers
Answer:
the second one
Step-by-step explanation:
Just put the equation in the quadratic formula but first get it in the ax^2+bx+c=0 form for that take 1 to the other side and subtract it
[tex]8x^2-2x-1\\a=8,b=-2,c=-1[/tex]
the quadratic formula is shown in the picture along with the rest of the working
the answer is the second option :)
hope this helps, best of luck graduating :)
Answer: [tex]\bold{\dfrac{2\pm \sqrt{36}}{16}}[/tex]
Step-by-step explanation:
[tex]8x^2-2x-1=0\quad \rightarrow \quad a=8,\ b=-2,\ c=-1\\\\\\Quadratic\ formula: x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(8)(-1)}}{2(8)}\\\\\\.\ =\dfrac{2\pm \sqrt{4+32}}{16}\\\\\\.\ =\dfrac{2\pm \sqrt{36}}{16}[/tex]
Malcolm coasted 32 miles from Moonridge to Mentone and then pedaled back hard. If she round trip took 4 hours, what was Malcolm's average speed in miles per hour?
Answers
Answer:
Roughly around 7mph
Step-by-step explanation:
Plz help me it’s due tomorrow
Answers
Answer:
7
Step-by-step explanation:
Again just cross multiplication.
84 = 12m
Divide each side by 12.
m = 7.
HELP FAST PLS!!!!!!!!!(will give 50 points to who answers correctly oh and dont answer fake answers i typed soo hard to do this)
Part A
The Roberts family is planning to purchase an above-ground pool for their backyard. There are three different rectangular models that they are looking at.
Model A:This pool has a length 18 feet and a width of 9 3/4 feet. The maximum depth of water is 4 1/2 feet.
Model B:this pool has a length of 16 feet and a width of 10 feet. The maximum depth of water is 5 feet.
Model C:This pool has a length of 15 feet and a width of 12 feet. The maximum depth of water is 4 1/2 feet.
One of the factors that the Roberts family is considering is how much water is needed to completely fill up the pool.
Question #1
Of the three pools described, Model __ needs the smallest amount of water to be completely filled.
A. Model A
B. Model B
C. Model C
Question #2
Of the three pools described, Model __ needs the largest amount of water to be completely filled.
A. Model A
B. Model B
C. Model C
(there is a difference dont ignore this read it)
↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓
Part B
The Roberts family is planning to purchase an above-ground pool for their backyard. There are three different rectangular models that they are looking at.
Model A:This pool has a length 18 feet and a width of 9 3/4 feet. The maximum depth of water is 4 1/2 feet.
Model B:this pool has a length of 16 feet and a width of 10 feet. The maximum depth of water is 5 feet.
Model C:This pool has a length of 15 feet and a width of 12 feet. The maximum depth of water is 4 1/2 feet.
All three models require a liner that runs along the sides and bottom of the pool. Another factor that the Roberts family is considering is the size of this liner. Hint: The pool is a rectangular prism. What is the formula for the surface area of this shape?
Question #1
Of the three pools described, Model __ uses the smallest liner.
A. Model A
B. Model B
C. Model C
Question #2
Of the three pools described, Model __ uses the largest liner.
A. Model A
B. Model B
C. Model C
Part C (picture 1 or red roof)
A large mall is built in the shape of a square. At each corner of the mall stands a pillar which is topped by a pyramid-shaped section of red tin roof, as shown in the picture below.
The pyramid is a square pyramid, measuring 21.5 feet on each of its base edges. The height of each of the triangular lateral face is 13.4 feet. Use this information to answer the following questions.
Question #1
If you drew the net of this pyramid, the net would contain __ congruent triangular faces.
A. Two different pairs of
B. Three
C. Four
Question #2
How many square feet of red tin roof does each pillar contain? [Type your answer as a number. Do not round.]
__________ square feet (for this one no choices just do it)
Question #3
One of the roofers claims that the roof area of each pillar is the same as the area of a square with edges of 21.5 feet. The roofer is ______.
A. Correct
B. Incorrect
Part D (picture 2 or white roofed tent like house)
The following house is called an A-frame house because it looks like the letter A from the front.
Suppose that all edges of this A-frame house measure 6.5 yards, and the height of the house is 5.6 yards. Use this information to answer the following questions.
Question #1
What is the area of the roof? [Type your answer as a number. Do not round.]
_______ square yards
Question #2
What is the outside surface area of this house? Type your answer as a number. Do not round.]
______square yards
Question #3
This A-frame house is in the shape of a ______.
A. Triangular Prism
B. Square Pyramid
C. Triangular Pyramid
D. Rectangular Prism
(thanks for answering☺☺)
Answers
Answer:
Step-by-step explanation:
1.A
2.C
1.C
2.A
1.B
2.21.45
3.A
I tried my best
A set of data has a high-value outliner. How do you expect the standard deviation to change when the outliner is removed? Would the result be different if the data had a low-value outliner instead? Explain
Answers
Answer:
type in decreased|TA i promise it will work
Step-by-step explanation:
trust bro trust
{decreased|TA}
In short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.
Given that, a set of data has a high-value outliner.
What is an outliner?In simple terms, an outlier is an extremely high or extremely low data point relative to the nearest data point and the rest of the neighboring co-existing values in a data graph or dataset you're working with. Outliers are extreme values that stand out greatly from the overall pattern of values in a dataset or graph.
When you have an outlier that is higher then the bulk of the data, the standard deviation is larger then it would be without the outlier. If the outlier was lower than the bulk of data, then the standard deviation would again be larger then it would be without the outlier and the mean would go down when the outlier is removed. Where it differs is the fact that removing the outlier would result in an increase of the mean instead of a decrease.
Therefore, in short, any high or low value outlier affect the data set the same way. When the outlier is removed, the standard deviation decreases.
Learn more about an outlier here:
https://brainly.com/question/26958242.
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what is the mean absolute deviation for the data 30,30,35,35,40?
Please help me...I need the answer as fast as possible. Thanks! :D
Answers
Answer:
34
Step-by-step explanation:
30+30+35+35+40=170
Since there are 5 numbers You have two divide 170/2=34
Glad i could help!
FOR 37 POINTS AND BRAINIEST IF U GET THIS RIGHT
What are the square roots of 36/100 ?
A - 6/10 and 6/10
B- ⅗ and ⅗
C- 9/25 and 9/25
D-18/50 and 18/50
Answers
Answer:
A
Step-by-step explanation:
6 x 6 = 36
10 x 10 = 100
Answer:
A
Step-by-step explanation:
6x6=36
10x10=100
How to solve this!! Please!
Answers
Answer:
k^2 -3k +9/2
(k-3/2)^2
Step-by-step explanation:
k^2 -3k
Take b/2 and then square it to find the term to complete the square
(-3/2) ^2 = 9/4
k^2 -3k +9/2
The expression factors to (k-b/2)^2
(k-3/2)^2
(2a/a+3b) + 10 = b
Rearrange and make “a” as subject
Answers
Answer:
a = -2b - 10
Step-by-step explanation:
a + 3b + 10 = b
a + 10 = -2b
a = -2b - 10
What is the perimeter of the figure shown?
A)22ft
B)84ft
C)30ft
D)36ft
Answers
Answer:
D
Step-by-step explanation:
The perimeter of the figure is the total distance around the figure.
Add each side to find the total distance.
10 + 8 + 8 + 2+2 + 6 = 36
What type of triangle would have these angle measures?
Answers
Answer:
Right triangle
Step-by-step explanation:
because it has one 90 degree angle
Step-by-step explanation:
It's a RIGHT TRIANGLE because one of the angles has measure 90°.
Equilateral triangle has every angle with the same measure of 60°.
Isisceles triangle has two equal angle with the same measure.
Triangle A'B'C' is a dilation of
triangle ABC. what is the scale
factor?
enter your answer in the box
Answers
Order the decimal numbers below from the smallest on the left to largest on the right
0.8, 0.088, 0.84, 0.0837
Answers
Answer:
0.0837 , 0.088 , 0.8 , 0.84
Step-by-step explanation:
Solve. x2 – 5x + 6 = 0 {5, –1} {3, –2} {2, 3} {–2, –3}
Answers
Answer:
{2, 3}
Step-by-step explanation:
[tex] x^2 – 5x + 6 = 0 [/tex]
Factor the left side.
[tex] (x - 3)(x - 2) = 0 [/tex]
[tex] x - 3 = 0 [/tex] or [tex] x - 2 = 0 [/tex]
[tex] x = 3 [/tex] or [tex] x = 2 [/tex]
Answer: {2, 3}
How do you want us to solve it?
3. What’s the answer to this question please
Answers
C
the answer should be C because the 45.75 represents the price of the fruit trees and if x was 88 that means there are 88 fruit trees
pls mark brainliest!!
Answer:
The correct option is C.
Step-by-step explanation:
At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75. What is the cost of an order of chips?
Define your variables:
Write your system of Equations:
Solve The System:
Answer The Question Being Asked:
Topic: Applying Systems of Equations
Answers
Define your variables:
At Manny's taco shop, you can get an order of chips and two tacos for $9.25. The cost for two orders of chips and five tacos is $21.75.
x = Chipsy = TacosWrite your system of Equations:You can get an order of chips and two tacos for $9.25.
1 Chips + 2 Tacos = 9.25
x + 2y = 9.25The cost for two orders of chips and five tacos is $21.75.
2 Chips + 5 Tacos = 21.75
2x + 5y = 21.75Solve The System:First equate the coefficient - in this case x:
(x + 2y = 9.25) * 2 = 2x + 4y = 18.50
2x + 4y = 18.50
2x + 5y = 21.75
Minus the equations from each other to remove the coefficient you equated:
(2x + 5y) - (2x + 4y) = 21.75 - 18.50
(2x - 2x) + (5y - 4y) = 21.75 - 18.50
y = 3.25Answer The Question Being Asked:What is the cost of an order of chips?1 Taco = $3.25
y = 3.25
Substitute this into the equation.
x + 2y = 9.25
x + (2 * 3.25) = 9.25
x + 6.50 = 9.25
Rearrange to find x:
x = 9.25 - 6.50
x = 2.75
Chips = $2.75
$2.75