Answers
Answer:
44.7 units of time
Step-by-step explanation:
Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.
It assumed d = t²*0.25 is the distance from the top of the building.
We know the height of the building is 500 meters.
We need to find the value of t, when d = 500 m:
0.25t² = 500t² = 500/0.25t² = 2000t = √2000t = 44.7 units of time (assumed seconds)Related Questions
can someone please help and explain its due in a littleee
Answers
[tex]f(x) = {x}^{2} - 3x + 2 [/tex]
••••••••••••••••••••••••••••••••••••••••put x = (-1)
[tex] f( - 1) = {( - 1)}^{2} - 3 \times ( - 1) + 2 \\ \\ 1 + 3 + 2 \\ \\ 6.[/tex]
••••••••••••••••••••••••••••••••••••••••put x = (z)
[tex] f(z) = {z}^{2} - 3 \times z + 2 \\ \\ {z}^{2} - 3z + 2 \\ \\ {z}^{2} - 2z - z + 2 \\ \\ z(z - 2) - 1(z - 2) \\ \\ (z - 1)( z -2 ) \\ \\ (z - 1) = 0 \: \: , \: \: (z - 2) = 0\\ \\ z = 1 \:, \: 2[/tex]
••••••••••••••••••••••••••••••••••••••••put x = (x+1)
[tex]f(x + 1) = {x}^{2} - 3x + 2 \\ \\ {(x + 1)}^{2} - 3 (x + 1) + 2 \\ \\ {x}^{2} + 1 + 2x - 3x - 3 + 2 \\ \\ {x}^{2} - x \\ \\ x(x - 1) \\ \\ x(x - 1) = 0 \\ \\ x - 1 = \frac{0}{x} \\ \\ x - 1 = 0 \\ \\ x = 1.[/tex]
•••••••••••••••••••••••••••••••••put x = (√2 + 1 )
[tex]f( \sqrt{2} + 1) = {x}^{2} - 3x + 2 \\ \\ {( \sqrt{2} + 1) }^{2} - 3( \sqrt{2} + 1) + 2 \\ \\ 2 + 1 + 2\sqrt{2} - 3 \sqrt{2} - 3 + 2 \\ \\ 3 - 1 \sqrt{2} - 1 \\ \\ 2 - \sqrt{2} \\ \\ 2 - 1.4 (optional \: \: \: steps)\\ \\ 0.6 \: \: [/tex]
A 2-column table with 6 rows. The first column is labeled t with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 12, m, 4, 0, negative 4, negative 2. If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12
Answers
Answer:
B
Step-by-step explanation:
right on edg3
In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.
m∠R > 90°
m∠S + m∠T < 90°
m∠S = m∠T
m∠R > m∠T
m∠R > m∠S
m∠S > m∠T
Answers
Answer:
1. m∠R > 90°
2. m∠S + m∠T < 90°
4. m∠R > m∠T
5. m∠R > m∠S
Step-by-step explanation:
General strategyprove the statement starting from known facts, ordisprove the statement by finding a counterexampleHelpful fact: Recall that the Triangle Sum Theorem states that m∠R + m∠S + m∠T = 180°.
Option 1. m∠R > 90°
Start with m∠R > m∠S + m∠T.
Adding m∠R to both sides of the inequality...
m∠R + m∠R > m∠R + m∠S + m∠T
There are two things to note here:
The left side of this inequality is 2*m∠RThe right side of the inequality is exactly equal to the Triangle Sum Theorem expression2* m∠R > 180°
Dividing both sides of the inequality by 2...
m∠R > 90°
So, the first option must be true.
Option 2. m∠S + m∠T < 90°
Start with m∠R > m∠S + m∠T.
Adding (m∠S + m∠T) to both sides of the inequality...
m∠R + (m∠S + m∠T) > m∠S + m∠T + (m∠S + m∠T)
There are two things to note here:
The left side of this inequality is exactly equal to the Triangle Sum Theorem expressionThe right side of the inequality is 2*(m∠S+m∠T)Substituting
180° > 2* (m∠S+m∠T)
Dividing both sides of the inequality by 2...
90° > m∠S+m∠T
So, the second option must be true.
Option 3. m∠S = m∠T
Not necessarily. While m∠S could equal m∠T, it doesn't have to.
Example 1: m∠S = m∠T = 10°; By the triangle sum Theorem, m∠R = 160°, and the angles satisfy the original inequality.
Example 2: m∠S = 15°, and m∠T = 10°; By the triangle sum Theorem, m∠R = 155°, and the angles still satisfy the original inequality.
So, option 3 does NOT have to be true.
Option 4. m∠R > m∠T
Start with the fact that ∠S is an angle of a triangle, so m∠S cannot be zero or negative, and thus m∠S > 0.
Add m∠T to both sides.
(m∠S) + m∠T > (0) + m∠T
m∠S + m∠T > m∠T
Recall that m∠R > m∠S + m∠T.
By the transitive property of inequalities, m∠R > m∠T.
So, option 4 must be true.
Option 5. m∠R > m∠S
Start with the fact that ∠T is an angle of a triangle, so m∠T cannot be zero or negative, and thus m∠T > 0.
Add m∠S to both sides.
m∠S + (m∠T) > m∠S + (0)
m∠S + m∠T > m∠S
Recall that m∠R > m∠S + m∠T.
By the transitive property of inequalities, m∠R > m∠S.
So, option 5 must be true.
Option 6. m∠S > m∠T
Not necessarily. While m∠S could be greater than m∠T, it doesn't have to be. (See examples 1 and 2 from option 3.)
So, option 6 does NOT have to be true.
Answer: Option 1, 2, 4, & 5 or
A. m∠R > 90°; B. m∠S + m∠T < 90°; D. m∠R > m∠T; & E. m∠R > m∠S
Step-by-step explanation: Trust Me!
m∠R > 90°m∠S + m∠T < 90°m∠R > m∠Tm∠R > m∠S
If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.
If you found any of my answers helpful please like and subscribe. I mean choose my answer as Brainliest. I would appreciate it!
Good luck everyone! :)
the gomez family drove 476 miles in 7 hours. what was their average speed, in miles per hour?
Answers
The average speed is 68 miles per hour
How to determine the average speed?The given parameters are:
Distance = 476 miles
Time = 7 hours
The average speed is calculated as:
Speed = Distance/Time
So, we have:
Speed = 476 miles/7 hours
Evaluate
Speed = 68 miles per hour
Hence, the average speed is 68 miles per hour
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if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets
Answers
Answer:
a) 17
b) 50
c) 6
Step-by-step explanation:
a) 3x+y
3(5)+2
15+2
17
b) 2x²= 2×5²
2×25
50
c) (x-y)2= (5-2)2
(3)2
3×2
6
I need help with a question
Answers
Answer:
y = 3
x = -15
Step-by-step explanation:
When substituting, we want to get rid of one of the variables. (It's easiest ot find the variable in terms of other variable)
so, we know that...
x + 5y = 0
- 5y - 5y
x = -5y
We can plug this x-value into the second equation to find our y-value:
3y + 2x = -21
3y + 2(-5y) = -21
3y - 10y = -21
-7y = -21
÷ -7 ÷ -7
y = 3
So, if x = -5y,
x = -5y
x = -5(3)
x = -15
(we can test these values in one of the original equations):
x + 5y = 0
(-15) + 5(3)= 0
-15 + 15 = 0
{true}
so, y = 3 ; and x = -15
hope this helps!! :)
Topic: Speed
Subject: Mathematics
Answer the Question
Q1: Express each of the following in km/h
a: 8.4 km/min b: 315 m/s
c: 242 m/min d: 125 cm/s
Answers
Hope this helps you
........
On Tuesday, a city’s parking meter income is up $311 from Monday’s income, m. So, Tuesday’s income is m + 311
If m is 894, what is m + 311
Answers
Step-by-Step Explanation:
=> m + 311; where m = 894
Therefore,
= m + 311
= (894) + 311
=> 1205
The required answer will be 1205.
The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?
Answers
The inequality which expresses the solution to the task is; x < 7.
Which inequality expresses the solution to the graph?According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;
let
The unknown number = x
sum of 8 and a number:
8 + x
sum of 8 and a number is less than 15:
8 + x < 15
x < 15 -8
x < 7.
Ultimately, the required inequality is; x < 7.
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Shreya and Shanice are selling pies for a
school fundraiser. Customers can buy
blueberry pies and lemon meringue pies.
Shreya sold 4 blueberry pies and 2 lemon
meringue pies for a total of $76. Shanice
sold 4 blueberry pies and 13 lemon
meringue pies for a total of $230. What is
the cost each of one blueberry pie and
one lemon meringue pie?
Answers
Answer:
$26
Step-by-step explanation:
Let blueberry pies = x and lemon pies = y.
4x + 13y = 230
4x + 2y = 76
Using elimination, we see that 11y = 154. Therefore, y = 14.
4x + 2(14) = 76
4x + 28 = 76
4x = 48
x = 12
x + y = 12 + 14 = 26.
$26 is your answer.
Answer:
Step-by-step explanation:
Let B be the price of a blueberry pie. Let L be the price of a lemon meringue pie.
We are told that Shreya makes a total of $76 by selling 4 blueberry and 2 lemon meringue pies. This can be made into an equation:
Shreya: 4B + 2L = $76
We also learn that Shanice is doing particularly well:
Shanice: 4B + 13L = $320
We want to determine the prices for each type of pie, B and L. We have two equations and two unknowns. That means we should be able to find the answers by substitution.
Rearrange Shreya's equation to isolate B:
Shreya: 4B + 2L = $76
4B = $76 - 2L
B = ($76-2L)/4
Now use this definition of B in Shanice's equation:
Shanice: 4B + 13L = $320
4( ($76-2L)/4) + 13L = $320
($76-2L) + 13L = $320
11L = 244
L = $22.18
Use L = $22.18 in either equation and solve for B:
4B + 2L = $76
4B + 2*($22.18) = $76
4B = $31.64
B = $7.91
---
Blueberry pies are $7.91 each.
Lemon meringue pies are $22.18 each
=========
CHECK: Do these prices provide the correct sales for each person?
Price($/pie) Shreya Shanice
Blueberry 7.91 4 4
Lemon Mer. 22.18 2 13
Blueberry Sales ($) 31.64 31.64
Lemon Mer. Sales ($) 44.3 288.36
Total Sales $76 $320
YES - These prices account for each person's sales.
The average of three unique number is 50.if the loweat number is 30 what is the sum of other two numbers
Answers
Answer:
The sum of the other two numbers is 120.
Step-by-step explanation:
To find an average, you add all the numbers involved and divide it by the amount of numbers involved. in this case,
(x+y+z) ÷ 3 =50
x=30
Divide both sides by three to remove the denominator.
(30+y+z)÷ 3 (*3) = 50(*3)
(30+y+z)=150
Subtract 30 from both sides.
(30+y+z)-30= 150-30
y+z=120
Help i need it What is the product?
Answers
Answer:
[tex]12x^9+15x^8 -8x^6-10x^5[/tex]
Step-by-step explanation:
[tex]~~(x^4)(3x^3 -2)(4x^2 +5x)\\\\=(3x^7-2x^4)(4x^2 +5x)\\\\=12x^9+15x^8 -8x^6-10x^5[/tex]
I'm gonna need so help
Answers
Answer:
-4 and -6 are the answers
(x+y)(x+6y) pls help me solve question pls and pls also give explanation if possible
Answers
Step-by-step explanation:
[tex] = (x + y)(x + 6y)[/tex]
[tex] = x \times x + x \times 6y + y \times x + y \times 6y[/tex]
[tex] = {x}^{2} + 6xy + xy + 6 {y}^{2} [/tex]
[tex] = {x}^{2} + 7xy + 6 {y}^{2} [/tex]
answer?......................
Answers
Answer:
22
Step-by-step explanation:
6( n^2 +2)
-----------------
n
Let n = 3
6( 3^2 +2)
-----------------
3
Parentheses first
6( 9 +2)
-----------------
3
6( 11)
-----------------
3
Top of the fraction next
66
-----
3
Divide
22
What is the effect on the graph of f(x) = x² when it is transformed to
h(x)=x²-16?
A. The graph of f(x) is vertically compressed by a factor of 7 and
shifted 16 units down.
B. The graph of f(x) is horizontally compressed by a factor of 7 and
shifted 16 units down.
C. The graph of f(x) is vertically compressed by a factor of 7 and
shifted 16 units to the right.
D. The graph of f(x) is horizontally stretched by a factor of 7 and
shifted 16 units to the right.
Answers
The correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given functions are:-
f(x) = x²h(x)=x²-16When we plot the graph of the two functions given in the question we will see that the graph of the function F(x) = x²-16 is compressed by the factor 7 and the vertex of the graph shifted to the 16 points down.
Therefore the correct answer is option A which is the graph of f(x) is vertically compressed by a factor of 7 and shifted 16 units down.
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please narrate every step you make and make a 2 column proof!
thank you!!
Answers
Hang on ,it is already proven through given .
So The proof is of one line only
ray FEH bisects <DFG (Given)Hence proved .
A trash can is in the shape of a cylinder. It has a radius of 2 feet and a height of 5 feet. What is the volume of the trash can? Round to the nearest tenth. Use 3.14 for pi
Answers
Answer: 62.8 cubic feet
Step-by-step explanation:
R is radius
H is height
R=2ft
H=5ft
V=(3.14)(2)^2(5)
V=62.8 cubic feet
Chocolate cost $1.50 and was paid for with $5 which three coins were given as change
Answers
Answer: $3.5
Step-by-step explanation:
If a product cost $1.50 and you paid $5, the change will be equal to
$5 - $1.50 = $3.5 for change
A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?
Answers
A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?
[tex] {p}^{2} > {p}^{2} \: \: and \: \: p {1}^{2} - \: p {2}^{2} \: < \frac{1}{3} [/tex]
Step-by-step explanation:
HOPE ITS HELP
Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C , ,
Answers
The least to greatest slope, the segments are B, C and A.
Given that,
Segments A, B, and C on the graph below represent the water level of the tank every minute since it started filling.
A graph shows the water level needed to fill the tank on the y axis per unit of time on the x axis.
The segment's slope indicates how quickly the water level is rising. The slope, which is determined by the segment's angle with the positive x axis, is the ratio of rise to run.
slope of segment A = 60₋10/2 = 25
slope of segment B = 80₋60/4 = 5
slope of segment C = 110₋80/3 = 10
We can see that section B has the least slope, followed by segment C, and then segment A, which has the greatest slope.
B, C, and A are the segments in descending order of least to greatest slope.
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How many feet of fencing will George need for the dog run?
22 feet
68 feet
76 feet
82 feet
Answers
George will need to do 76 ft. of fencing , Option C is the correct answer.
What is a Rectangle ?A rectangle is a polygon with four sides , angles and vertices , the opposite sides are parallel and equal.
Area of the dog run = 240 sq.ft
Length of the run is 30 ft
Width is 30-x ft.
Area of a Rectangle = Length * Width
240 = 30 * (30-x)
8 = 30 -x
x = 22 ft.
Width is (30-220 = 8)
The perimeter of the rectangle is = 2(Length + Width )
Perimeter = 2( 30 +8)
Perimeter = 2 * 38 = 76 feet
Therefore George will need to do 76 ft. of fencing.
The complete question is
George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w. A rectangle labeled How many feet of fencing will George need for the dog run? 22 feet 68 feet 76 feet 82 feet
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Answer:
late a-s-f but 68 ft
Step-by-step explanation:
another equation for y = 8x + 7
Answers
Give me the hardest math equation you know and solve it
(Beware, if you joke and waste the points, I will not be very happy!)
Answers
1B + 26M - 26K
Answer That!! Hehehehe
PLEASE ANSWER ASAP!!!!!!
The function f(x)=−6sin(7/3x+1/6)−5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.
Over what range of temperatures does the average rate of change in temperature fall?
Enter a value in each box to correctly complete the statement.
The range in the average rate of change in temperature of the substance is from a low
temperature of ____ F to a high of ________ F
Answers
The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.
What is a formula for Fahrenheit?The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
Given function:
f(x)= -6 sin(7/3 x+ 1/6) -5
The function will be maximum at the 7/3 x +1/6= 3π/2
So, the maximum temperature will be
= -6 sin (3π/2) -5
= 6 -5
= 1 F
The function will be minimum at the 7/3 x +1/6= π/2
Therefore, the maximum temperature will be
= -6 sin (π/2) - 5
= -6 -5
= -11 F
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Help me with steps please!
Answers
Answer:
18, 36, 54
Step-by-step explanation:
Find the least common multiple of 6 and 9:
Multiples of 6: 6, 12, 18, ......
Multiples of 9: 9, 18, 27, ......
We see that 18 is the least common multiple of 6 and 9.
Additional multiples of 18 are 36 and 54.
If an integer is divisible by 6 and by 9 , then the integer must be divisible by 54.
How to estimate an integer which is divisible by 6 and by 9?Consider the statement as a contradiction.
The assertion exists that any natural number divisible by 6 and 9 exists also divisible by 54.
Let us consider divisible to mean that the outcome of the division of the number and 54 provides another natural number. We can take the prime factors of 6 and 9 which are {2,3} and {3,3}. We can consider that the product [tex]$2 \times 3 \times 3=18$[/tex] exists a number that exists divisible by 6 and 9 but exists not divisible by 54. Another instance exists the product of [tex]$2 \times 2 \times 3 \times 3=36$[/tex] which exists also not divisible by 54.
Therefore, the correct answer is option e) 54.
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Which statement is true about the ordered pair (3 , 4)? A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin. B. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin. C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin. D. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.
Answers
Answer:
C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
Step-by-step explanation:
Which statement is true about the ordered pair (3, 4)?
A. To plot the ordered pair (3 , 4), travel four units to the right on the y-axis and three units up on the x-axis, from the origin.
The y-axis is the vertical line you can't go left or right, you go up or down
Hence this answer is NOT correct
B. To plot the ordered pair (3 , 4), travel four units to the right on the x-axis and three units up on the y-axis, from the origin.
The coordinates of a point is (x, y) where x = 3 and y = 4 so moving right 4 units is wrong as x = 3
Hence this answer is NOT correct
C. To plot the ordered pair (3 , 4), travel three units to the right on the x-axis and four units up on the y-axis, from the origin.
three units to the right on the x-axis
four units up on the y-axis
Hence this answer is the correct
D. To plot the ordered pair (3 , 4), travel three units to the right on the y-axis and four units up on the x-axis, from the origin.
y does not equal 3 and you cant move right or left on the y-axis
Hence this answer is NOT correct
Drag each tile to the correct location. The labels can be used more than once.
Match each polynomial expression with its degree.
0, 1, 2
Answers
The degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.
What is the degree of a polynomial?
The degree of the polynomial is defined as the highest power of the variable of the given polynomial or it is the maximum power of the polynomial.
The degree of the given expressions are shown as follows:-
(x-9) → degree 1,
(-4x²-6x+9) → degree 2,
(x²-2x+9) → degree 2,
(-3) → degree 0,
(3x-2) → degree 1,
(6x+2) → degree 1
(5) → degree 0.
Therefore the degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.
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Colton solved an equation incorrectly, as shown below: Step 1: x − 13 = 26 Step 2: x = 26 − 13 Step 3: x = 39 Which statement best explains why Step 2 is incorrect in Colton’s solution?
Answers
Answer:
Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.
Hope it helps!
Answer:
'Cause he didn't use the inverse operation! ^^
Step-by-step explanation:
Heres the correct way to solve it:
x-13=26
x=26+13
x=39
The correct way is to add 13 to both sides and not subtract.
--
Hope that this helped! Best wishes.
--
Need help (pic included)
Answers
The value of the coefficient of xy is 0.
What is an algebraic expression?It is an expression made of numbers and letters where the numbers are called coefficient.
Analysis:
(ax+by)(cx-dy)
ac[tex]x^{2}[/tex] -adxy +bcxy -bd[tex]y^{2}[/tex]
But, ac = 18, ad=bc, bd = 50
18[tex]x^{2}[/tex] -xy(bc -ad) - 50[tex]y^{2}[/tex]
since bc = ad, the coefficient of xy = 0
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