Annual interest rate is 4.6%
hope this helps!
Each day Jacob records the number of laps and the distance he walks, in miles, on a track. Graph the relation and determine whether the distance that Jacob walks is a function of the number of laps.
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
The distance is 6.18 miles that Jacob walks as a function of the number of laps which is represented in the attached graph.
We have been given the relation below:
{(3, 0.75), (6, 1.5), (9, 2.25), (2, 0.5), (7, 1.75), (10, 2.5), (4, 1)}
What is the distance between two points?The distance between two points is defined as the length of the line segment between two places representing their distance.
The formula of the distance between two points is P(x₁, y₁) and Q(x₂, y₂) is given by: d (P, Q) = √ (x₂ – x₁)² + (y₂ – y₁) ².
The given relation of function is represented in the attached graph.
Take two endpoints (3, 0.75) and (9, 2.25)
x₁ = 3, y₁ = 2.25
x₂ = 4, y₂ = 9
distance = √ (9 – 3)² + (2.25 – 0.75)²
distance = √ (6)² + (1.5)²
distance = √ (36 + 2.25)
distance = √ (38.25)
distance = 6.18 miles
Therefore, the distance is 6.18 miles that Jacob walks is a function of the number of laps.
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Hello can you please help me with this question
Answer:
A
Step-by-step explanation:
...
Calculate the average travel time for each distance, and then use the results to calculate. A 6-column table with 3 rows in the second, third, and fifth columns and 1 row in the other columns. The first column labeled Number of Washers has entry 1 washer mass = 4. 9 grams. The second column labeled Trial has entries trial number 1, trial number 2, trial number 3. The third and fourth columns labeled Time to travel 0. 25 meters t subscript 1 (seconds) have entries in the third column 2. 24, 2. 21, 2. 23 and average in the fourth column. The fifth and sixth columns labeled time to travel 0. 5 meters t subscript 2 (seconds) have entries in the fifth column 3. 16, 3. 08, 03. 15 and in the sixth column average. The average time that it takes for the car to travel the first 0. 25m is s. The average time to travel just between 0. 25 m and 0. 50 m is s. Given the time taken to travel the second 0. 25 m section, the velocity would be m/s.
The average travel time is simply the mean travel time between the given points
The average time that it takes for the car to travel the first 0.25m is 2.23s. The average time to travel just between 0.25m and 0.50m is 0.9s. Given the time taken to travel the second 0.25 m section, the velocity would be 0.28m/s.(a) The average time to travel the first 0.25m
The time travel in the first 0.25m are: 2.24s, 2.21s and 2.23s.
So, the average time to travel is:
[tex]Time = \frac{2.24s + 2.21s + 2.23s}{3}[/tex]
[tex]Time = \frac{6.68s}{3}[/tex]
[tex]Time = 2.23s[/tex]
(b) The average time to travel just between 0.25m and 0.50m
The time travel in the 0.50m are: 3.16s, 3.08s and 3.15s.
So, the average time to travel this distance is:
[tex]Time = \frac{3.16s + 3.08s + 3.15s}{3}[/tex]
[tex]Time = \frac{9.39s}{3}[/tex]
[tex]Time = 3.13s[/tex]
The average time to travel between both distance is the difference between the average time of each distance.
So, we have:
[tex]Average = 3.13s - 2.23s[/tex]
[tex]Average = 0.9s[/tex]
(c) The velocity in the second 0.25m section
The distance and time are:
[tex]Distance = 0.25m[/tex]
[tex]Time = 0.9s[/tex]
So, the velocity is:
[tex]Velocity = \frac{Distance}{Time}[/tex]
This gives
[tex]Velocity = \frac{0.25m}{0.9s}[/tex]
[tex]Velocity = 0.28m/s[/tex]
Read more about distance, velocity and time at:
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What is the value of y in the formula show when x=4/5
Answer:
there is no way to solve for y, but if your solving for x then x=4/5 and in decimal form it is x=0.8 hope that helps
Step-by-step explanation:
GIVING BRAINLIEST please its due in 10 min and please show work
Samantha invests a total of $18,000 in two accounts. The first account earned an annual interest rate of 11% and the second account earned an annual interest of 7%. At the end of one year, the total amount of money gained was $1,680.00. How much was invested into each account?
$ was invested in the account that earned 11% and
$ was invested in the account that earned 7%.
Answer:
Step-by-step explanation:
X + Y = 28500 (Equation 1).
1.11X + .9Y = 29010 (Equation 2).
write the equation in slo
pe intercept form -1=-2x+y
Answer:
y = -2x - 1
Step-by-step explanation:
Put y on the left and everything else on the right
part 2 of Question please help me
and thank you for your help
1 tick represents 8 units
1/2(10p-7q) if p=9 and q=2
Answer:
38
Step-by-step explanation:
1/2(10p-7q)
1/2(10(9)-7(2))
1/2(90-14)
1/2(76)
76/2
38
-3x + 4y = -15 and 4x - y = -19
Answer:
x=-7, y=-9. (-7, -9).
Step-by-step explanation:
-3x+4y=-15
4x-y=-19
---------------
y=4x-(-19)
y=4x+19
-3x+4(4x+19)=-15
-3x+16x+76=-15
13x=-15-76
13x=-91
x=-91/13
x=-7
4(-7)-y=-19
-28-y=-19
y=-28-(-19)
y=-28+19
y=-9
Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?
Answer:
26
Step-by-step explanation:
Are the ratios 6:5 and 19:15 equivalent?
Answer: no
Step-by-step explanation:
what comes after this:
2:4
4:8
8:10
_:_
Hint: Times two (x2) if you answer right then you shall get 30 points which is half of mine
You answer it you get 15 points so answer away
Answer:
16:20??
Lol I think it's wrong sorry.
Step-by-step explanation:
Evaluate the expression. 5 x (-6 / -1 + -10)
Answer:
-20
Step-by-step explanation:
[tex]5 * (-6 / -1+ -10)[/tex]
According to PEMDAS, we need to do the math in the parentheses first.
[tex]-6 / -1 + -10[/tex]
Applying PEMDAS to the inside of the parentheses, then we have to divide -6 by -1, where we would get 6.
[tex]6 + -10[/tex]
Adding a negative is the same as subtracting, so adding negative 10 is the same as subtracting 10.
[tex]6 - 10[/tex]
Subtracting, we get 6 - 10 = -4 and we're left with:
[tex]5 * (-4)[/tex]
Multiplying, our final answer is -20.
Hope this helps!
Which of the following is best used to measure the amount of time that has passed in your lifetime?
(A)minutes
(B)seconds
(C)days
(D)years
school lunches cost 35.50 per week. About how much would 15.5 week of lunches cost?
Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.
Hope that helped?
Answer:
15.5 weeks of school lunch would cost $550.25
Step-by-step explanation:
The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:
[tex]\frac{cost}{week}\times week=cost[/tex]
[tex]35.50\times15.5=550.25[/tex]
15.5 weeks of school lunch would cost $550.25
You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:
[tex]y=35.50x[/tex]
Helpppp
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision.
Answer: Evan is incorrect
Step-by-step explanation:
20/20 - 25 x 100 =
5/20 x 100/1 =
500/20
500/20 = 20%
Evan would only be correct is he doubled the 20 hours to make it 40 hours
Hope this helps✌
While In a cave what did Sirius tell Harry and his friends about crouch
The information that was given to Harry about Crouch was that it was Crouch who gave the order for him to be sent to the wizard prison without a trial.
It should be noted that when Harry went to Hogsmeade, he brought food for Sirius and he was still in his dog form. Sirius then led them to a cave.
In the cave, they saw Buckbeak, the hippogriff. Sirius then turned back to a human being. He then gave Harry the piece of information that Crouch gave the order for him to be sent to Azkaban which was a prison for wizards.
Learn more about Harry on:
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HELP ASAP 10 POINTS
Which coordinates are the best estimate of the solution to the system of equations?
Hint: Which coordinate is closest to where the lines meet?
Question 4 options:
(6,0)
(0,5)
(1,4)
(1,5)
Answer:
(1,4)
Step-by-step explanation:
It was either (1,3) or (1,4) but there was no (1,3) so (1,4).
Hopes This Helps :)
Can someone help me with this? Last one is -1/4 btw
angelo's mother put $50 on a lunch card he spends the same amount each day for lunch. what is the constant rate of change for this function. choose two ordered pairs and write a ratio that can be used to find the slope or constant rate of change.
Given that Angelo spends the same amount everyday from the amount in
the lunch card, the function of the amount remaining is a linear function.
The constant rate of change of the function is; -5.25The two ordered pair used to find the constant rate of change are; (1, 44.75) and (2, 39.5)Reasons:
The amount Angelo's mother put on the lunch card = $50
A possible table of values to the question is presented as follows;
[tex]\begin{tabular}{r|c|c|c|c|}Days&0&1&2&3\\Money Remaining&&44.75&39.5&\end{array}\right][/tex]
Required:
The constant rate of the function that gives the amount remaining from the
amount Angelo's mother put on his lunch card.
Solution:
[tex]Slope \ or \ constant \ rate \ of \ change = \mathbf{\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]The two ordered pair that can be used to find the slope or constant rate of change are;
(x₁, y₁) = (1, 44.75), and (x₂, y₂) = (2, 39.5)
With the above two ordered pairs, we have the constant rate of change of the function given as follows;
[tex]Constant \ rate \ of \ change\ (The \ slope) =\dfrac{39.5-44.75}{2-1} = \mathbf{ -5.25}[/tex]
The constant rate of change for the function that gives the amount remaining in the lunch card is; -5.25
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Find the m, b, and write the equation for the following graph:
Answer:
y=3
Step-by-step explanation:
m=0
b=3
Select the expressions that are equivalent to 12n - 8. Select all that apply.
A. 3n + 4 + 3n + 4 + 4n
B. 11n + 4 + n -12
C. 6(6n - 2)
D. 4(3n – 2)
E. 4n + 22 - 12 + 8n
A.3n+4+3n+4+4n
=3n+3n+4n+4+4
=10n+8
B.11n+4+n-12
=11n+n+4-12
=12n-8
C.6(6n-2)
=36n-12
D.4(3n-2)
=12n-8
E.4n+22-12+8n
=4n+8n+22-12
=12n+10
so,B and D are the expressions that are equivalent to 12n-8.
Every month a salary of ₹25,500.50 is deposited in Kavya’s account. How much money will she earn in a year?
Answer:
It's 306006
Step-by-step explanation:
It is 306006 because their is 12 months in a year and if you get 25500.5 dollars every month you multiply 25500.5 by 12.
I hope this was helpful!
What is the slope-intercept equation of the line containing the points (–5, 22) and (4, 49) ?
Answer:
[tex]y=3x+37[/tex]
Step-by-step explanation:
Determine slope:
[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]
Determine y-intercept:
[tex]y=mx+b[/tex]
[tex]49=3(4)+b[/tex]
[tex]49=12+b[/tex]
[tex]37=b[/tex]
Final equation:
[tex]y=3x+37[/tex]
Plz help ToT I'm horrible at math
Answer:
24 Square Inches
Step-by-step explanation:
Suppose in order for a bill to pass in Congress, 50% of voters must be in favor of it. In a random sample of 150 voters, 62 said that they were in favor of a new bill. State the p-value assuming the alternative hypothesis is Ha ≠.50 (Round to the nearest hundredth.)
Using the z-distribution, it is found that the p-value is of 0.03.
At the null hypothesis, it is tested if the proportion is of 0.5, that is:
[tex]H_0: p = 0.5[/tex]
At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:
[tex]H_a: p \neq 0.5[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]
[tex]z = -2.12[/tex]
The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.
To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918
What is the equation of a line that is perpendicular to the line y = - 1/2 x + 1 and passes through the point (8, - 1)? A y = −1/2 x + 8 B y = 2x - 17 C y = −1/2 x − 2 D y = 2x - 1
Which of the following could NOT
be represented by |-121?
A. A balloon rises 12 feet in the air.
B. The stock market gains $12 in a
day.
C. A town lies 12 feet below sea
level.
D. Adam received a gift for
Answer:
C
Step-by-step explanation:
|-12|= 12
this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)
_________________ help the group manage relationships
a.
Social roles
b.
Leadership roles
c.
Task roles
d.
Individual roles
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
Leadership roles help the group manage relationships
[] Leadership is the action of leading a group of people or an organization, so this best completest the answer
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
i need help with the second part pls
Answer:
(x, y) = (22, 35)
base angle theorem; angle sum theorem
Step-by-step explanation:
Base angles theorem:
Angles opposite congruent sides are congruent:
3x -11 = 2x +11
x = 22
__
Angle sum theorem:
The sum of angles in a triangle is 180°.
(3x -11)° +(2x +11)° +2y° = 180°
5x° +2y° = 180°
2y = 180 -5(22) . . . . . divide by °, subtract 5x, substitute for x
y = 35 . . . . . . . . . divide by 2