Elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! He reeled in his catch, causing it to ascend at a constant rate of 0.10.10, point, 1 meters per second. When it reached the water's surface after 353535 seconds, Elon found it was only an old shoe... Graph the relationship between the shoe's altitude (in meters relative to the water's surface) and time (in seconds).
Answers
The relationship between the shoe's altitude (in meters relative to the water's surface) and time (in seconds) has been plotted in the graph shown below.
The equation of a straight line.Mathematically, the standard form of the equation of a straight line is given by;
y = mx + c
Where:
x represents the time measured in secondsy represents the position relative to water surface and measured in meters.m represents the slope.c represents the intercept or initial altitude of the shoe.Next, we would determine the initial altitude as follows:
y = mx + c
0 = (0.1 × 35) + c
0 = 3.5 + c
c = -3.5
Substituting the given points into the formula, we have;
y = 0.1x - 3.5
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Complete Question:
Elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! He reeled in his catch, causing it to ascend at a constant rate of 0.1 meters per second. When it reached the water's surface after 35 seconds, Elon found it was only an old shoe...
Graph the relationship between the shoe's altitude (in meters relative to the water's surface) and time (in seconds).
Related Questions
santi and vlado drove together from new york to new orleans. both drove the same amount of time, but santi drove 75% as quickly as vlado. if the drive took a total of 24 hours and new orleans is 1,304 miles from new york, approximately how many miles did santi drive?
Answers
If both Santi and Vlado drove for the same amount of time with Santi driving at 75% of Vlado's average speed, and they covered 1304 miles in 24 hours, then Santi had driven for approximately 559 miles.
As per the question statement, Santi and Vlado drove together from New York to New Orleans. Both of them drove for the same amount of time with Santi driving 75% as quickly as Vlado, and it took them 24 hours to complete the 1304 miles journey.
We are required to calculate the approximate number of miles, that Santi drove during their trip.
Since given that, Both of them drove for the same amount of time and it took them 24 hours to complete the 1304 miles journey, therefore, both Santi and Vlado drove for (24/2) = 12 hours each.
Now, let us consider that Vlado drove at an average speed of "v" miles/hour.
Then, Santi would have driven at a average speed of [(75/100)v] m/h
= (0.75v) m/h
= 0.75V miles/hour
[Since Santi drove 75% as quickly as Vlado]
Now as we know that, [(speed * time) = distance], applying the same formula to the velocities and driving times of Santi and Vlado, we get,
[{(12 * v) + (12 * 0.75v)} = 1304]
Or, [(12v + 9v) = 1304]
Or,(21v = 1304)
Or, v = [(1304/21)]
Or, (v = 62.095 miles/hour)
Or, (v ≈ 62.1 miles/hour)
That is, Vlado drove at an average speed of 62.1 miles per hour,
And, Santi drove at an average speed of (62.1 * 0.75) miles per hour
= (46.575) miles per hour.
Therefore, Santi drove a total of (46.575 * 12) = 558.9 miles ≈ 559 miles,
as he drove at an average speed of 46.575 miles per hour, for 12 hours.
Average Speed: In Mathematics as well as physics, the average speed of any travelling object is the total distance traveled by the object in a particular time interval. It is a scalar quantity, represented by the magnitude and does not have direction.To learn more about Average Speeds, click on the link below.
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Solve the system of linear equations using the substitution method.
2y + x = -15 and x = 3y
A. (-6, -3)
B. (-7, -6)
C. (-8, -6)
D. (-9, -3)
Answers
Answer:
the answer is D. (-9, -3)
[tex]{ \green{ \tt{option \: (d)}}}[/tex]
Step-by-step explanation:
Given,
[tex]{ \tt{2y + x = - 15}} \: { \to} \: { \tt {eq}^{n} (1)}[/tex]
[tex]{ \tt{x = 3y}} \: { \to} \: { \tt{ {eq}^{n} (2)}}[/tex]
Substitute the value of eqⁿ (2) in (1) then,
[tex]{ \tt{2y}} \: + \: { \red{ \tt{3y}}} \: = - 15 [/tex]
[tex]{ \tt{5y = - 15}}[/tex]
Divide both sides by 5 then,
[tex]{ \tt{ \frac{5}{5}y = - \frac{15}{5}}} [/tex]
[tex]{ \red{ \boxed{ \tt{y = - 3}}}}[/tex]
Substitute the value of y in eqⁿ (2)
[tex]{ \tt{x = 3y}}[/tex]
[tex]{ \tt{x = 3( - 3)}}[/tex]
[tex]{ \red{ \boxed{ \tt{x = - 9}}}}[/tex]
Therefore, the value of (x,y) is (-9,-3)
Hence, option (d) is correct.
find X. would love the help thank you
Answers
Answer:
120
Step-by-step explanation:
x + the angle = 180 because it makes a line
we know from the picture that the triangle is equilateral so the angle has to be 60
so 180 = x + 60 and solve for x
They are all equal, so you can divide 180/3.
Each angle is 60°.
To find x, you'll see there is a line extending out. That whole line is 180°.
60° + x = 180°
That should give you x = 120°.
Hope it helps!
Finnegan wants to buy a sweater for $29.50 and jeans for $42.50. If the sales tax rate is 8.25%, what will be the amount of sales tax on Finnegan’s purchase?
Answers
The amount of sales tax on Finnegan's purchase is $5.94
How to calculate the amount of sales tax on the purchase ?The first step is to calculate the total amount of purchase
Sweater- $29.50
Jeans- $42.50
Total amount
29.50 + 42.50
= 72
The sales tax rate is 8.25%
The amount of sales tax on the purchase can be calculated as follows
8.25/100 × 72
= 0.0825 × 72
= 5.94
Hence the sales tax on the total purchase is $5.94
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I need this answer as soon as possible
Note: This is grade 6 maths
Answers
10.
A gallon = 4 quarts
4 quarts = 4 x 2 = 8 pints.
8 pints = 8 x 16 = 128 (ounces)
So, a gallon equals 128 ounces.
11.
Generally, 2 cups = 1 pint.
-> 4 cups = 2 pint = 1 quart
So, he should (probably) use the entire quart.
12.
Convert all the mixed numbers to fractions, mk.
14(7/9) + 6(5/9)
= 14+6(7/9+5/9) = 20(12/9) = 64/3.
13. 15(11/16) + 21(9/16) = 36(11/16+9/16) = 36(20/16) = 149/4
14. 7(1/2) + 5(1/2) = 12(1/2+1/2) = 13( = 13/1)
15. 17(3/4) - 4(1/4) = 17-4(3/4-1/4) = 13(1/2) = 27/2
16. 23(5/8) - 12(3/8) = 23-12(5/8-3/8) = 11(2/8) = 45/4
17. 27 - 6/8 = 216/8 - 6/8 = 210/8 = 55/2.
Please recheck and if you spot anything wrong tell me.
Solve the quadratic equation.
x² + 9x - 36 = 0
O A. x = 3 or 12
OB. x = 3 or -12
O C. x = 6 or -6
OD. no real solution
Answers
Answer:
B x = 3 or -12
Step-by-step explanation:
(btw this / is a fraction sign and this ^ is the power of sign)
Let's solve your equation step-by-step.
x^2+9x−36=0
For this equation: a=1, b=9, c=-36
1x^2+9x+−36=0
Step 1: Use quadratic formula with a=1, b=9, c=-36.
x= −b±√b^2−4ac/2a
x= −(9)±√(9)2−4(1)(−36)/2(1)
x= −9±√225/2
= x= 3 or x= -12
PLS HELP ASAP!!!!
identify the type of transformation
Answers
Answer:
Reflection
Step-by-step explanation:
A line, called the line of reflection, will allow an image to reflect through it. Every point in a figure is said to mirror the other figure when they are all equally spaced apart from one another. The reflected picture should have the same size and form as the original, but it faces the opposite way. The opposing signs are created from the coordinates. Changes in posture during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context.
please answer !!!!!!!!!!!!!!
Answers
TU = 63
SU = 126
If T is a midpoint, then it marks the halfway point on the line segment. Therefore, two new line segments are created, and they have equal lengths. Set up an equation where the values are equal to each other and solve for x. Then solve for each length.
See details:
Answer:
ST = 63
TU = 63
SU = 126
Step-by-step explanation:
Given that T is the midpoint...
Thus TS = ST and SU = 2ST =2TU
from equation...
9n = 5n + 28
9n - 5n = 28
4n = 28
n = 7
Put the value of n in the equation...
ST = 9n
= 9 x 7
= 63
SU = 9n + 5n + 28
= (9 x 7) + (5 x 7) + 28 = 126
Hope this helps!
help pls i don’t understand and don’t know which option topick
Answers
Answer: C
Explanation:
The range of a function is the set of all values of y that satisfy the function. On the graph, it is between the lowest value of y at the bottom and the highest value of y at the top. Looking at the graph, it extends to negative infinity at the bottom and the maximum value at the top y = 4
Thus, in interval notation,
Range = (- ∞, 4]
Willie bought one package of basil for $3.
How many packages of basil can Julia buy
if she has $6?
Answers
Gigi is going to buy 100 stickers.
Here is some information about the cost of stickers in two shops.
Stickers4u
World Stationery
Pack of 25 stickers for £2.25
Pack of 10 stickers for £1.75
Buy 1 pack get 1 pack 1 free
Gigi wants to buy the stickers for the best possible price.
Which shop should Gigi buy the 100 stickers from?
You must show how you get your answer.
Answer:
Answers
Buying from World Stationery shop would profit Gigi.
How to find the most profitable shop?Given,
Gigi is going to buy 100 stickers.
Stickers4u - Pack of 25 stickers for £2.25
World Stationery - Pack of 10 stickers for £1.75
Buy 1 pack get 1 pack 1 free
Solution:
Cost of 1 sticker in Stickers4u = £2.25/25 stickers = £0.09
Cost of 1 sticker in World Stationery = £1.75/ 10 stickers = £0.175
Since it is mentioned, 'Buy 1 pack get 1 pack 1 free' in this shop, the total no of stickers one would get for the price would be doubled.
Hence,
Cost of 1 sticker in World Stationery would be = £1.75/ 20 stickers = £0.0875
On comparing the price per sticker of both the shops, we can say that
buying from World Stationery shop would profit Gigi.
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HELPPPPPP!!!!! PLEASEEEEE FAST!!!!!!!
Given the function f(x)=2.5xsquared+3, find the average rate of change over the interval 0 ≤ x ≤ 4. What does the average rate of change tell you about the function?
Answers
The average rate of change over the interval is 10 and it tells us about the slope
How to determine the average rate of changeThe definition of the function is given as
f(x) = 2.5xsquared + 3
Rewrite the function properly
So, we have the following equation
f(x) = 2.5x² + 3
The interval to calculate the average rate of change is given a
0 ≤ x ≤ 4
This can be represented as
[0, 4]
Further, rewrite as
[a, b] = [0, 4]
Where a = 0 and b = 4
Calculate f(a) and f(b)
So, we have
f(0) = 2.5(0)² + 3 = 3
f(4) = 2.5(4)² + 3 = 43
The average rate of change is then calculated as
Average rate = [f(b) - f(a)]/[b - a]
Substitute the known values in the above equation
So, we have
Average rate = [43 - 3]/[4 - 0]
Evaluate
Average rate = 10
What the average rate tells usThe average rate is the slope of the function
This means that it represents the amount of change in the function with respect to the change in the input variables
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Charlie Brown and Linus are so excited for Halloween that they have planned trips to three different parks. They are willing to pay no more than $40 to go to all of them. Jones’ Corn Maze has an entry fee that is $4 less than double the amount of Tomilloso’s Pumpkin Patch entrance fee. King’s Haunted House has an entry fee that is $2 more than Tomilloso’s Pumpkin Patch. What is the maximum price Charlie and Linus are willing to pay to enter each park?
Answers
The maximum price Charlie and Linus are wiling to pay to enter each park is 10.5 dollars.
How to use inequality to represent a situation?Charlie Brown and Linus are so excited for Halloween that they have planned trips to three different parks.
They are willing to pay no more than $40 to go to all of them.
Jones’ Corn Maze has an entry fee that is $4 less than double the amount of Tomilloso’s Pumpkin Patch entrance fee.
King’s Haunted House has an entry fee that is $2 more than Tomilloso’s Pumpkin Patch.
let
x = amount of Tomilloso’s Pumpkin Patch entrance fee
Therefore, the inequality that represent the situation is as follows;
Jones’ Corn Maze an entry fee = 2x - 4
King’s Haunted House entry fee = 2 + x
Therefore,
2x - 4 + 2 + x + x ≤ 40
4x - 2 ≤ 40
add 2 to both sides of the inequality
4x - 2 + 2 ≤ 40 + 2
4x ≤ 42
divide both sides of the inequality by 4
4x / 4 ≤ 42 / 4
x ≤ 10.5
Therefore, the maximum price they can pay is 10.5 dollars
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Find the slope and reduce,
P=(-5, 2) Q=(-3, 6)
Slope = [?]
Answers
Answer:
Slope m = 2
Step-by-step explanation:
Translate the sentence into an equation or formula.
25 less than the cube of x is equal to four times the sum of y and five
Answers
Answer:
x + y y added to 7. 7+ y. The sum of a and b a + b m more than n n + m ... y. 5 or y ÷ 5. The ratio of u to v u v or u ÷ v u separated into 4 equal parts.
Step-by-step explanation im just guessing so if its incorrect sorry:(
Given h(x) = − 4x − 4, solve for x when h(x) = −8.
Answers
h(-8)= 32-4
h(-8)=28
In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. What is the probability that a student who has a sister also has a brother?
Answers
If In a class of 30 students, 13 have a brother and 8 have a sister. There are 3 students who have a brother and a sister. The probability that a student who has a sister also has a brother is: 3/10.
Determining the probabilityGiven data:
Total number of student = 30
Brother = 13
Sister = 8
Brother and sister = 3
Now let determine the probability that a student has brother and sister using this formula
P ( S n B ) = Brother and sister / Total number of student
Let plug in the formula
P ( S n B ) = 3/30
Therefore we can conclude that 3/30 is the probability.
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Answer:
3/8
Step-by-step explanation:
Simplify this expression: 7 + 9x2-5= A. 27 B. 20 C.-48 D. 19 HELP ASAP
Answers
Answer:
the answer to the problem is A 27
Step-by-step explanation:
5 1/2 ÷3 3/8
hey umi, need it
because i have school in 26 well Thursday and it is a assignment and it is due today
Answers
Answer:
1 - 1.5
2 - 3.9375
3 - 3
4 - 1.62962963
5 - 2.83333
6 - 4.05555556
7 - 8
8 - 1.555555556
9 - 6.4
10 - 6
11 - 1.5
12 - 18
(50 points) Show that x+2 is a factor of p(x)=[tex]x^4+2x^3+4x^2+x-14[/tex]. Then write p(x) as the product of x+2 and another factor. Please show work.
Answers
Answer:
Let p(x)=x
3
−4x
2
−2x+20
By factor theorem, (x+2) is a factor of p(x) if p(−2)=0.
∴ It is sufficient to show that (x+2) is a factor of p(x)
Now, p(x)=x
3
−4x
2
−2x+20
∴p(−2)=(−2)
3
−4(−2)
2
−2(−2)+20=−8−16+4+20=0
∴(x+2) is a factor of p(x)=x
3
−4x
2
−2x+20
Gas mileage is the number of miles you can drive on a a gallon of gasoline. A test of a new car results in 525 miles on 25 gallons of gas. How far could you drive on 40 gallons of gas? What is the car's gas mileage?
Answers
40 gallons
[tex]\frac{525}{25} \times 40=840[/tex] miles
Gas Mileage
[tex]\frac{525}{25}=21[/tex] miles per gallon
Which statement represents the simplified form of the given equation and correctly describes the solution? A. 6 ≠ 3; no real solution B. x = 6; exactly one real solution C. 6 = 6; infinite real solutions D. x = 1; exactly one real solution
Answers
Answer:infinite solution
Step-by-step explanation:
Write an equation involving absolute value for the graph if the points are located at -3.75 and 3.75.
Answers
The absolute value equation with the solutions -3.75 and 3.75 is:
|x| = 3.75
How to write the absolute value equation?The general absolute value equation can be written as:
|x+ a| = b
And this can be rewritten into two equations, which are:
x + a = b
x + a = -b
In this case, we want to get an absolute value function such that the two solutions are -3.75 and 3.75, this is ratter trivial to do, we can write the next absolute value function:
|x| = 3.75
If we decompose this, we will get the two equations:
x = 3.75
x = -3.75
Which are the two solutions we wanted.
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RS has endpoints R(3, 5) and S(–3, –1). Which statement explains whether the midpoint M of lies on the y-axis?
M = = (4, –2) does not lie on the x- or y-axis because neither coordinate is zero.
M = = (3, 3) does not lie on the x- or y-axis because neither coordinate is zero.
M = = (2, 0) lies on the y-axis because the y-coordinate is zero.
M = = (0, 2) lies on the y-axis because the x-coordinate is zero.
Mark this and return
Answers
Step-by-step explanation:
M = (0, 2), and it lies on the y-axis, because the x-coordinate is 0.
by the way, the first 2 answer options are correct statements too, they are just not specifying the actual midpoint.
Answer:d
Step-by-step explanation:edge2023
Cuanto es 3/8+-3/4
………..
Answers
Do it like 3/4 x 2 on both sides Bc that is igual to 8
And plus y minus is minus
So i do 3/8 - 6/8
And that iguals -3/8
That’s the answer
- 3/8!!!
3) Each volume of an encyclopedia has two covers, each 1/4-inch thick, and 300 pages of text that are 2-inthick. The books are arranged in order on a shelf. How far does a bookworm travel who burrows his way from the first page of Volume I to the last page of Volume III?
Answers
Answer:
7 inches
Step-by-step explanation:
Volume 1 - 300 pages 2 inches
back cover 1/4 inch
Volume 2 - front cover 1/4 inch
300 pages 2 inches
back cover 1/4 inch
Volume 3 - front cover 1/4 inch
300 pages 2 inches
3(3v - 4) = 51 solve for v simplify your answer as much as possible
Answers
see steps below:
Answer: v = 7
Step-by-step explanation:
1. Distribute
3 (3v - 4) = 51
9v - 12 = 51
2. Add 12 to both sides
9v - 12 = 51
+ 12 + 12
3. Cancel out 12 + 12
51 + 12 = 63
9v = 63
4. Divide 9 on both sides
9v/9 = 63/9
5. Cancel out 9v/9
v = 7
1. The reduced fraction or mixed number for 375%
Answers
Answer:
the answer is shown below for the reduced fractional mixed number for 385 percentage
Step-by-step explanation:
Steps to Convert 375% to Fraction
Place the Percentage Value at the top over 100. The exact form of the fraction is 154. In the decimal form, the fraction can be written as 3.75. In the Mixed Number form, the fraction can be written as 3 .34.
How many permutations can be formed from all of the letters of the word houston?.
Answers
The word "Houston" can have a maximum of 2520 permutations using all it's letters.
As per the question statement, we are provided with a word: HOUSTON.
And we are required to calculate the total number of permutations that can be formed using all the letters of it.
To solve this question, first we will need to determine the number of letters in our concerned word, which in this case is 7, and then number of repeated letters, which is 2, since the letter "O" is repeated once.
Therefore, the total number of permutations that can be formed using all the letters of the word HOUSTON = [(7!)/(2!)]
= (7 * 6 * 5 * 4 * 3)
= 2520
Permutation: In Mathematics, a permutation is a technique to determines the number of possible arrangements of the elements in a set, in a definite order.To learn more about Permutations, click on the link below.
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Fill in the blanks with the correct angle measure.
For example:
Measure of angle 1 = 110 degrees. You only need to type 110.
Answers
Answer:
1:110
2:70
3:110
4:70
5:110
6:70
7:110
8;70
Step-by-step explanation:
lol i think its pretty simple