Which BEST describes the speed and velocity of the graph?
A)
Both speed and velocity are changing.
B)
The speed and velocity remain constant.
C)
The speed is constant and velocity is changing.
D)
The velocity cannot be determined from the graph.
Answers
A - Both speed and velocity are changing.
Step-by-step explanation:Though the answer is option A but option D can also be true. The velocity cannot be completely determined from the graph. This is because, velocity is based on the direction and motion and the graph is not completely justifying this.
Though velocity cannot be determined, but it is clear from the graph that velocity is changing, because the speed is changing.
Therefore, option A is completely true.
A)
According to the graph, speed is increasing. Velocity is speed plus direction, so velocity is also changing. And this is an acceleration graph, so you know since acceleration is a change in velocity, both speed and velocity are changing.
Related Questions
create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4
Answers
Drag each tile to the table to multiply (6x-y)(2x-y+2)
Answers
The product of (6x - y)(2x - y + 2) is 12x² + y² -8xy + 12x -2y
The required table to multiply (6x - y)(2x - y + 2) is shown below.
What is expression?"It is a mathematical statement that consists of constants, variables and some mathematical operations."
For given question,
We have been given an expression (6x - y)(2x - y + 2)
The product of above expression is,
(6x - y)(2x - y + 2)
= 6x(2x - y + 2) - y(2x - y + 2)
= 12x² - 6xy +12x - 2xy + y² - 2y
= 12x² + y² -8xy + 12x -2y
The required table to multiply (6x - y)(2x - y + 2) is shown below.
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A number is between -5 and -14. What is the least possible integer value of the number?
Answers
An integer can be positive, negative, or zero. Given this, the least possible integer value of a number between -5 and -14 is -13.
Name a geometric technique that can give an illusion of depth to a two-dimensional figure.
a.
Fibonacci sequence
c.
Golden mean
b.
one-point perspective
Answers
Justification:
The one-point perspective is a mathematical (geometric) technique that permits to represent the real objects (which are in 3D) in a flat sheet of paper (or canvas or any flat surface use to draw), which is a 2-D figure.
With this technique, the objects appear smaller as they are further away which is what gives the illusion of 3D (perspective).
To get the effect of 3D, the lines on the drawing converge towards a point on the horizon line.
The plans for a shed call for a rectangular floor with a perimeter of 248ft. The length is three times rhe width. Find the length and width
Answers
length= 93 width=31
248=2L+2w
L=3w
248=2x3w+2w
248=6w+2w
248=8w (248/8=31)
31=w
L=3 x 31
L=93
check answer: 248= 2x93 + 2x31
248=186+62
248=248
A(n) __________ is a rate that has a denominator of 1.
empty set
unit rate
contradiction
identity
Answers
Hope this helped!
The table of values represents a quadratic function.
What is the average rate of change for f(x) from x = 0 to x = 10 ?
x f(x)
−10 184
−5 39
0 −6
5 49
10 204
Answers
The average rate of change on the interval is 21.
The average rate of change for any function f(x) is the ratio of change in its y-values to change in its x-values for any two particular points on the curve of the function f(x). Mathematically, we can write it as follows :-
Average rate of change = [tex] \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} [/tex]
It says to find the average rate of change from x = 0 to x = 10.
From the given table, x = 0 corresponds to y = f(0) = -6 and x = 10 corresponds to y = f(10) = 204.
So we have two points A(0, -6) and B(10, 204).
Using the above formula, we can find average rate of change from A to B.
Average rate of change from (0, -6) to (10, 204) = [tex] \frac{204-(-6)}{10-0} =\frac{204+6}{10} = \frac{210}{10} =21 [/tex]
Hence, the final answer is 21.
determine which fraction goes in the middle to make the comparison true. 5/8< ? < 8/10. so the answer to pick from are 1/2,1/3,7/10,1/4
Answers
7/10 is greater than 5/8 but it is less than 8/10
The fraction that goes in the middle to make the comparison true is 7/10.
5/8 < 7/10 < 8/10
Option C is the correct answer.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
5/8 < x < 8/10
The value for x is greater than 5/8 but less than 8/10.
1/2 is less than 5/8.
1/3 is less than 5/8.
7/10 is greater than 5/8 and less than 8/10.
1/4 is less than 5/8.
Thus,
5/8 < 7/10 < 8/10
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ASAP
Kim and Leon together have $111. if kim has $17 more than Leon, how much does each person have?
Answers
The equation:
(L+17) + L = 111
The parenthesis represent how much Kim has. We can take the parenthesis out to actually solve the equation.
L + 17 + L = 111
Let's add like terms, which is L.
2L + 17 = 111
Subtract 17 on both sides.
2L= 94
Divide.
L= 47
We know Leon has 47, now we have to solve Kim by just adding 17 since she has 17 more than Leon.
47+17= 64
So Kim has 64. Let's check by adding and making sure their two values are equal up to 111.
64+47=111
Leon has $47 and Kim has $64.
Leon has $47 and Kim has $64. We solved the problem by setting up an equation with the given information and solving for each person's amount.
The question presents a typical algebraic problem. Let's denote Leon's amount of money as L and Kim's amount as K. According to the problem, Kim has $17 more than Leon, so we can write this as K = L + $17.
Since the total amount of money they have together is $111, we can formulate the following equation: L + K = $111. By substituting the first equation into the second, we get L + (L + $17) = $111.
Simplifying by combining like terms, we get 2L + $17 = $111. To find the value of L, we subtract $17 from both sides, resulting in 2L = $94. Dividing by 2 gives us L = $47.
Since K = L + $17, we substitute the value of Leon's money to find Kim's: K = $47 + $17 = $64. So Leon has $47 and Kim has $64.
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?
Answers
P=2*12 ft
P=24 ft - is the answer
Find 22,23,24,25 and I’ll give you 25 points
Answers
22. 3*(6.1 m)*(7 m) = 128.1 m^2
23. 3*(11.3 in)*(13 in) = 440.7 in^2
24. 3*(9.5 ft)*(11 ft) = 313.5 ft^2
25. The area ratio is the square of the linear dimension ratio: (3/4)^2 = 9/16.
The cost of a gallon of gas recently doubled. By what percent did it increase? A) 50% B) 100% C) 150% D) 200%
Answers
If a cost of a gallon recently doubled, then it increased by 50%. This is because half of 100% is 50% and it takes one more 50% to double.
Hope this helps you.
Have a great day!
Answer:
it is 100%
Step-by-step explanation:
i did it on usa test prep
The length of the bed is 9 feet and 6 inches. The sheet is made for a bed that is 79 inches. How short is the sheet?
Answers
9 * 12 = 108 + 6 = 114 inches ( length of the bed)
114 - 79 = 35 inches too short
Answer:
its 2 feet and 11 inches
Step-by-step explanation:
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. meters
Answers
Use formula for the length of the arc:
[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r [/tex], where [tex] \theta [/tex] is central angle.
Substitute [tex] \theta [/tex] and r=3 into formula:
[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r=(70^{\circ}\cdot \dfrac{\pi}{180^{\circ}})\cdot 3=\dfrac{7}{6}\pi [/tex].
Answer: [tex] \text{Arc Length} =\dfrac{7}{6}\pi [/tex].
Answer:
its 3.7
Step-by-step explanation:
Assignment: Compound Interest Investigation
Tyler has earned money by helping out on a neighbor's farm and now wants to put his earnings in a savings account. He is a bit confused on the different interest options available and how each will impact the amount he has after several years. Help Tyler better understand by showing him how his money will increase in an account that uses simple interest and one that uses compound interest over a specified period of time.
1. a. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% interest compounded annually, how much will he have in his account after 5 years?
b. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% simple interest, how much will he have after 5 years? Show all work.
c. Which account would yield a greater amount? What is the difference between the two amounts?
2. a. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% interest compounded quarterly, how much will he have in his account after 1 year?
b. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% simple interest, how much will he have after 1 year? Show all work.
c. Which account would yield a greater amount? What is the difference between the two amounts?
3. Tyler decides to deposit his earnings of $3200 in a savings account. Bank A offers an account with a simple interest rate of 3.5%. Bank B offers an interest rate of 3.4% compounded annually. After 3 years, in which bank will Tyler have the greatest total? Show all work.
a. Find the interest earned for Bank A.
b. Find the total amount for Bank B.
c. Which bank should Tyler choose if he wants to earn the greater amount? Explain your reasoning.
d. Which account would yield a greater amount? What is the difference between the two amounts?
Answers
- Simple interest formula: [tex]A=P(1+rt)[/tex]
where:
[tex]A[/tex] is the final investment value
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is number of years
- Compound interest formula: [tex]A=P(1+ \frac{r}{n} )^{nt} [/tex]
where:
[tex]A[/tex] is the final investment value
[tex]P[/tex] is the initial investment
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is he number of years
[tex]n[/tex] is the number of times the interest is compounded per year
1.
a. This is a compound interest account, so we are going to use our compound interest formula. We now that [tex]P=1500[/tex], [tex]t=5[/tex], and since the interest is compounded annually (1 time a year), [tex]n=1[/tex]. To find the interest rate in decimal form, we are going to divide it by 100%: [tex]r= \frac{4}{100} =0.04[/tex]. Now that we have all the values lets replace them in our compound interest formula:
[tex]A=1500(1+ \frac{0.04}{1}) ^{(1)(5)} [/tex]
[tex]A=1824.98[/tex]
We can conclude that after 5 years he will have $1824.98 in this account.
b. Here we will use our simple interest formula. We know that [tex]P=1500[/tex], [tex]t=5[/tex], and [tex]r= \frac{4}{100} =0.04[/tex]. Lets replace those values in our simple interest formula:
[tex]A=1500(1+(0.04)(5))[/tex]
[tex]A=1800[/tex]
We can conclude that after 5 years he will have $1800 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is [tex]1824.98-1800=24.98[/tex]
2.
a. Here we are going to use our compound interest formula. We know that [tex]P=2000[/tex], [tex]t=1[/tex] and [tex]r= \frac{8}{100} =0.08[/tex]. We also know that the interest is compounded Quaternary (4 times per year), so [tex]n=4[/tex]. Now that we have all our values lets replace them into our formula:
[tex]A=2000(1+ \frac{0.08}{4} )^{(4)(1)} [/tex]
[tex]A=2164.86[/tex]
We can conclude that after 1 year he will have $2164.86 in this account.
b. Here we are going to use our simple interest formula. We know that [tex]P=2000[/tex], [tex]t=1[/tex], and [tex]r= \frac{8}{100} =0.08[/tex]. Once again, lets replace those values in our formula:
[tex]A=2000(1+(0.08)(1))[/tex]
[tex]A=2160[/tex]
We can conclude that after 1 year he will have $2160 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is [tex]2164.86-2160=4.86[/tex]
3.
a. Since Bank A offers an account with a simple interest, we are going to use our simple interest formula. From the question we know that [tex]P=3200[/tex], [tex]t=3[/tex], and [tex]r= \frac{3.5}{100} =0.035[/tex]. Now we can replace those values into our formula to get:
[tex]A=3200(1+(0.035)(3))[/tex]
[tex]A=3536[/tex]
Now, to find the interest earned for Bank A we are going to subtract [tex]P[/tex] from [tex]A[/tex]
[tex]InterestEarned=3536-3200=336[/tex]
We can conclude that the interest earned for Bank A is $336
b. Since Bank B offers an account with a compound interest, we are going to use our compound interest formula. We know that [tex]P=3200[/tex], [tex]t=3[/tex], [tex]r= \frac{3.4}{100} =0.034[/tex], and since the interest is compounded annually (1 time a year), [tex]n=1[/tex]. Now that we have all the values, lets replace them in our formula to get:
[tex]A=3200(1+ \frac{0.034}{1} )^{(1)(3)} [/tex]
[tex]A=3537.62[/tex]
Now, to find the interest earned for Bank A we are going to subtract [tex]P[/tex] from [tex]A[/tex]:
[tex]InterestEarned=3537.62-3200=337.62[/tex]
We can conclude that the interest earned for Bank B is $337.62
c. Even tough the interest returns between the tow Banks are very similar, Bank B offers a slightly better interest over a period of time, which can make a big difference in the long run. If Tyler wants the earn more money, he definitively should deposit his money in Bank B.
d. The compound interest account from Bank B will yield more money than the simple account one from Bank A The difference between the tow amounts is [tex]3537.62-3536=1.62[/tex]
A 5-pound of flour costs $4.80. For this bag of flour, what is the cost of flour per ounce?
(1 pound = 16 ounces)
a. $0.06
b. $0.16
c. $0.60
d. $0.96
Answers
The cost of the flour per ounce will be $0.06 per ounce. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
A 5-pound of flour costs $4.80.
We know that in one pound, there are 16 ounces. Then the number of ounces in 5 pounds is calculated as,
⇒ 5 x 16
⇒ 80 ounces
Then the cost of the flour per ounce will be given as,
⇒ $4.80 / 80
⇒ $0.06 per ounce
The cost of the flour per ounce will be $0.06 per ounce. Then the correct option is A.
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Three pizzas of the same size were purchased for a party. After the guests finished eating pizza, 1/3 of the first, 1/4 of the second, 1/6 and of the third pizzas were leftover.
Part A If the leftover pieces are combined, what fraction of one whole pizza remains? Explain how you got your answer.
Part B What fraction of all three of the pizzas purchased for the party was eaten? Explain how you got your answer.
Part C Only six guests ate pizza at the party. If all of them ate the same amount, what fraction of one pizza did each person eat? Explain how you got your answer.
Answers
B. First pizza:- 1 - 1/3 = 2/3 had been eaten.
Second pizza:- 1 - 1/4 = 3/4 was eaten.
Third pizza:- 1 - 1/6 = 5/6 was eaten.
C.
Total amount of pizza eaten = 3 - 3/4 = 9/4 = 2 1/4
Amount eaten per person = 9/4 / 6 = 3/8 of a pizza
At a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 mintues longer than the other. How long did it take to complete each game?
Answers
The total time for two game is 32 minutes. The time for each game can be determine using system equation.
The time for game is 10 minute and 22 minute respectively.
Given:
Total time to complete two game is 32 minutes.
Let [tex]x[/tex] is the time took to complete one game.
Write the system equation for the given condition.
[tex]\begin{aligned}\\ x+x+12=32\\2x=32-12\\x=10 \:\rm min\\\end{aligned}[/tex]
As per the question, one game took 12 minutes longer than other. So the time for second game is,
[tex]x+12=10+12=22 \:\rm minutes[/tex]
Thus, the time took to complete game is [tex]10\:\rm minutes[/tex] and [tex]22\:\rm minutes[/tex] respectively.
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A cell phone provider offers a plan that costs $40 per month plus $0.10 per text message sent or received. A comparable plan costs $70 per month but offers unlimited text messaging. How many text messages would have to be sent or received in order for the plans to cost the same each month?
Answers
Which ordered pair is the best estimate for the solution of the system of equations? y = −1/5x + 1 y = x + 4
Answers
y=-1/5x +1 Equation 1
y=x+4 Equation 2
Substitute value of y in equation 2.
x+4=-1/5x+1
Multiply both sides by 5.
5x+20=-x+5
Add x to both sides
6x+20=5
Subtract 20 from both sides
6x=-15
x=-15/6
x=-5/2
Now substitute value of x in equation 1.
y=-1/5 ( -5/2) +1
y=1/2+1
y=3/2
Solution is (x,y)= (-5/2 , 3/2)
Final answer:
The solution to the system of equations y = -1/5x + 1 and y = x + 4 is found by setting the equations equal to each other, solving for x, and then substituting back to find y. The solution is the ordered pair (-5, -1).
Explanation:
The student is asking to find the ordered pair that represents the best estimate for the solution to a system of linear equations. The given system of equations is: y = −1/5x + 1 and y = x + 4. To find the solution, we need to determine where the two lines intersect, which will give us the coordinates (x, y) of the solution.
To find the intersection, we can set the two equations equal to each other since they both equal y: −1/5x + 1 = x + 4. Then, we would solve for x:
Add 1/5x to both sides to get 1 = 6/5x + 4
Subtract 4 from both sides to get −3 = 6/5x
Multiply both sides by 5/6 to get x = −3 × (5/6)
Which simplifies to x = −5
Now we substitute x back into either of the original equations to find y. For instance, using the second equation y = x + 4, we find that:
y = (−5) + 4 = −1
Therefore, the ordered pair that is the solution to the system of equations is (-5, -1).
Jane drew a point that was 1 unit to the right of the y-axis and 7 units above the x-axis.what is the ordered pair for this location
Answers
The table on the right shows last initials of basketball players and the number of games played by each. Find the z-score for player Upper G's games played.
Player Games Played
A 75
B 81
C 72
D 79
E 76
F 80
G 75
H 79
J 73
K 79
Answers
Alexandra spent her birthday on a video game that cost $24, a controller for $13, and a memory card for $16. there total tax was $3. what is a subtraction equation for finding how much she gave alexandraif she received $4 in change
Answers
so if the total was 56 and the cashier gave her 4$ of change back then she gave 60$ in total
60 - 56 = 4
she gave 60$ in total
Give the required elements of the hyperbolas below.
1. x^2/9 - y^2/16 =1
a. 3
b. 4
c. 9
d. 16
2. 4x^2 - y^2 = 16
a. 1
b. 2
c. 4
d. 16
3. 2y^2 - 3x^2 =6
a. √ ̅2
b. √ ̅3
c. 2
d. 3
Answers
Final answer:
The hyperbolas' equations are analyzed to find the values of a² and b². For the first equation, a² is 9 and b² is 16; for the second, a² is 4 and b² is 16; and for the third, a² is 3 and b² is 2.
Explanation:
To identify the required elements for each of the hyperbolas, we need to look at the equations of the hyperbolas and determine the values of a and b, which are the square roots of the denominators of the x-squared and y-squared terms when they are in the standard form for a hyperbola, x²/a² - y²/b² = 1 for horizontal hyperbolas, and y²/a² - x²/b² = 1 for vertical hyperbolas.
1. For the hyperbola x²/9 - y²/16 = 1, the required elements are a² and b². Hence, a² = 9 and b² = 16, leading to the answers being c and d respectively.
2. The hyperbola 4x² - y² = 16 can be rearranged to x²/4 - y²/16 = 1. Here, a² = 4 and b² = 16, making the answers c and d respectively.
3. For hyperbola 2y² - 3x² = 6, it rearranges to y²/3 - x²/2 = 1. In this case, a² = 3 and b² = 2, so the answers are d and a respectively, since we are looking for a and b, not a² and b².
Ellen boughy a tray of plants for $8.15 there where 16 plants in the tray if i bought only one what would it cost
Answers
=$8.15/16
=$0.509 rounded to $0.51 cents each
One plant would cost $0.51 (rounded)
Hope this helps! :)
BRAINLIEST TO WHO GET IT RIGHT.
I know quadratic formula. I don’t understand how I would input the lines I’m given into that formula. Please help me, I already know what x equals.
Answers
.. 7^2 = y*(y +11)
.. 49 = y^2 +11y
.. y^2 +11y -49 = 0 . . . . . . . . the quadratic equation in standard form
Now, you're ready to use the quadratic formula. You have
.. a = 1
.. b = 11
.. c = -49
.. y = (-b ±√(b^2 -4ac))/(2a)
.. y = (-11 ±√(11^2 -4*1*(-49)))/(2*1) . . . . . substitute the values for a, b, c
.. = (-11 ±√317)/2 ≈ {-14.4, 3.4}
Since segment lengths can only be positive,
.. y ≈ 3.4 cm
which equation below will produce a decay curve
y=2(4)^x
y=3^x-4
y=6(1/3)^x
y=1/2(3)^x
Answers
answer : y=6(1/3)^x, option C
Decay curve means when x value increases the y value will decrease.
We plug in 3 values for x and check the y value
Lets start with first option
[tex] y=2(4)^x [/tex]
x=0 , y= 2
x=1, y= 8
x=2, y=32
when x value increases the y value also increases. so option A is not a decay curve
[tex] y=3^x -4 [/tex]
x=0 , y= -4
x=1 , y= -1
x=2 , y = 5
when x value increases the y value also increases. so option B is not a decay curve.
[tex] y= 6(\frac{1}{3})^x [/tex]
x=0, y = 6
x=1, y = 2
x=2 , y= 0.67
when x value increases the y value decreases. so option C is a decay curve
The equation that will produce a decay curve is y = 6(1/3)^x.
Explanation:The equation that will produce a decay curve is y = 6(1/3)x.
A decay curve is characterized by exponential decay, where the base of the exponent is less than 1. In this equation, the base is 1/3, which is less than 1. As x increases, the value of (1/3)x decreases, resulting in a decay curve.
For example, if we substitute x = 0 into the equation, we have y = 6(1/3)0 = 6(1) = 6. As x increases, the value of y decreases exponentially.
Terrance run 6 miles every half hour Jesse runs 2 miles every 15 minutes and Sandra runs at a rate of 8 miles in 45 minutes. How does Sandra unit rate compare to terrance and Jesse
Answers
To compare Sandra's unit rate with Terrance's and Jesse's, we must calculate their speeds in mph. Terrance runs at 12 mph, Jesse at 8 mph, and Sandra at 10.67 mph. Therefore, Sandra is faster than Jesse but slower than Terrance.
To compare Sandra's unit rate to Terrance's and Jesse's, we need to determine the speed at which each person runs in miles per hour (mph). The given information is:
Terrance runs 6 miles every half hour.
Jesse runs 2 miles every 15 minutes.
Sandra runs 8 miles in 45 minutes.
First, we calculate each person's running speed:
Terrance: 6 miles in 0.5 hours (30 minutes), so we multiply by 2 to find his speed per hour: 6 miles ÷ 0.5 hours = 12 mph.
Jesse: 2 miles in 0.25 hours (15 minutes), so we multiply by 4 to find his speed per hour: 2 miles ÷ 0.25 hours = 8 mph.
Sandra: 8 miles in 0.75 hours (45 minutes), so we divide her distance by the time in hours: 8 miles ÷ 0.75 hours = 10.67 mph.
Therefore, compared to Terrance and Jesse, Sandra's running speed is:
Faster than Jesse's (10.67 mph > 8 mph)
Slower than Terrance's (10.67 mph < 12 mph)
17 heartbeats in 15 seconds as a unit rate
Answers
Answer:
17 heartbeats in 15 seconds as a unit rate is-
1.13 over 1
hope it is clear to you
bottle of a chemical solution that contains 75% alcohol. The bottle contains 500 milliliters of solution. How many milliliters of alcohol are in the solution?
Answers
Answer:
500 x 0.7 = 350 I hope it helps
Step-by-step explanation: