Sample problem is;
A child slides down a steep, snow covered hill with an acceleration of 2.82 m/s². Her initial speed is 0.0 m/s² and her final speed is 15.5 m/s travelling from top to bottom of the hill.
Answer:
t = 39.54 s
Step-by-step explanation:
We are told that her acceleration is now -0.392 m/s²
Thus; a = -0.392 m/s²
From the sample problem, we have;. Initial velocity = 0 m/s
Final velocity = 15.5 m/s
However, in this question, we want to find the time from the bottom of the hill to her stopping point.
This means her initial velocity will now be; u = 15.5 m/s and final velocity since she will come to rest will be v = 0 m/s
To find the time it takes her to travel from the bottom of the hill to her stopping point, we will use Newton's equation of motion and so, we have;
v = u + at
making t the subject, we have;
t = (v - u)/a
t = (0 - 15.5)/(-0.392)
t = 39.54 s
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what should we have to do here
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A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.
Answer: The cost will be same for 6 hours.
Step-by-step explanation:
Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.
Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.
Let x = Number of hours
y = Total cost
Then, Total cost (in $) for first company (y) = 22+3x
Total cost (in $) for second company (y) = 17.50+3.75x
So required system of equations :
y = 22+3x
y= 17.50+3.75x
When the cost will be the same,
22+3x = 17.50+3.75x
⇒ 3x - 3.75x = 17.50- 22
⇒ - 0.75x = -4.5
⇒ x =6 [Divide both sides by -0.75]
Hence, the cost will be same for 6 hours.
The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone
The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.
More formally, a function f from a set X to a set Y is denoted as f: X → Y
For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.
Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.
Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.
The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:
C(x) = 2(x - L) + 40
where:
C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).
L is the speed limit (in mph).
(x - L) represents the number of miles per hour over the speed limit that the car was traveling.
The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.
To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:
C(50) = 2(50 - 35) + 40
C(50) = 2(15) + 40
C(50) = 30 + 40
C(50) = $70
Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
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A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
2
1
2
times its birth weight. How many pounds did the baby weigh at the end of 8 months?
Answer:
1537pounds
Step-by-step explanation:
Given parameters:
Weight of baby at birth = 7.25 pounds
Unknown:
Weight at the end of 8months = ?
Solution:
From the second sentence;
Weight at the end of the eighth month = 212 x weight at birth.
Input the parameters and solve;
Weight at the end of eighth month = 212 x 7.25 = 1537pounds
which is the choice to the inequality below?
x/6>7
Answer:
[tex]x > 42[/tex]
Step-by-step explanation:
[tex]\frac{x}{6} > 7[/tex]
Multiply 6 on both sides. [tex]6(\frac{x}{6}) > 6(7)[/tex].
Simplify it. [tex]x > 42[/tex]
Therefore, the answer is [tex]x > 42[/tex].
Hope this helped! If not, please let me know! <3
What is the missing exponent? and the numerical answer
Answer:
? = -4
Step-by-step explanation:
The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.
Answer:
10
Step-by-step explanation:
Given line:
F G H I
FI = 18
Unknown:
FH = ?
Solution:
To find the line FH, we use the ratio given;
FG : GH: HI
3 : 2 : 4 ; Total = 3 + 2 + 4 = 9
Since FI is 18;
FH = [tex]\frac{3 + 2}{9}[/tex] x 18 = [tex]\frac{5}{9} x 18[/tex] = 10
FH = 10
Select the correct answer.
Which of these graphs represents a function?
Question:
Select the correct answer.
Which of these graphs represents a function?
Answer:
B. X
Explanation:
D. Z is not the answer
Plz help me I’ll give brainliest!!
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (4, 1 )
with k = 1
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
what is the complex conjugate of 6+2i
Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
Answer: 9 (with a margin of: 0)
Step-by-step explanation:
Times everything by 5
That gives you 15 + 10w = 105.
Subtract 15 from both sides
Divide by 10 to get w by itself
Then you solve
f(2) = ? pls helpppppp
Answer:
-2
Step-by-step explanation:
f(2): take the (2) from the f(2) because that's the x value.
you go to where it's 2 on the x-axis.
f(x)=f(2)
f(x)=y
so you are trying to find the y-axis number when you are at 2 on the x-axis.
whichhh is -2
I need help answer this Question!
-6+3(-4-2x)>=-16-6x
There is no solution for that problem....
Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =
Answer:
The answer is 6.3 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
P(7,,1) and Q(5,7)
We have
[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]
We have the final answer as
6.3 units to the nearest tenthHope this helps you
Answer:
PQ=1.4 I think
Step-by-step explanation:
Look at the angle shown below.
V.
Estimate the measure of the angle.
Find the measures of two supplementary angles, <M and <N, If M=6x+3 and m<N=2x-7
9514 1404 393
Answer:
M = 141°, N = 39°
Step-by-step explanation:
Supplementary angles have a total measure of 180°, so ...
M + N = 180
(6x +3) +(2x -7) = 180
8x = 184 . . . . . add 4, simplify
x = 23 . . . . . . . divide by 8
∠M = 6·23 +3 = 141°
∠N = 2·23 -7 = 39°
Can you please find the missing side these are similar figures.
Answer:
1.108
2.4
3.6
4.28
5.80
6. 10.5
hope this will help you
The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The
Answer:
27
Step-by-step explanation:
Given that:
Green shirt = 81 students
White shirt = 54 students
Orange shirt = 27 students
The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.
Factors of :
81 : 1, 3, 9, 27, 81
54 : 1, 2, 3, 6, 9, 18, 27, 54
27: 1, 3, 9, 27
The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27
8800000 in scientific notation
Answer:
8.8 x 10 to the power of 6
Step-by-step explanation:
Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.
Answer:
We Subtract
Her weight on her third birthday = 36.94 pounds
Step-by-step explanation:
Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION
Leslie GAINED 5.54 pounds between her third and fourth birthdays.
This means she added weight
She weighed 42.48 pounds on her Fourth birthday
Hence, Her weight in her third birthday is:
Third birthday + 5.54 pounds = 42.48
$42.48
Third birthday = 42.48 - 5.54
= 36.94 pounds
Her weight on her third birthday = 36.94 pounds.
√10 • √8 =
A. 4√5 or
B. 3√2
Which one?
Answer:
A. ([tex]4\sqrt{5}[/tex])
Step-by-step explanation:
√10 • √8 = [tex]\sqrt{80}[/tex] - They combine into one.
[tex]\sqrt{80}[/tex]
/ \
[tex]\sqrt{20}[/tex] [tex]\sqrt{4}[/tex]
[tex]\sqrt{4}[/tex] = 2
[tex]\sqrt{20}[/tex] = [tex]2\sqrt{5}[/tex]
2 * 2 = 4
[tex]4\sqrt{5}[/tex] is the answer.
Denise runs a 10 kilometer race (6.2 miles). Her average time per mile is shown.
Answer:
Step-by-step explanation:
8.5*6.2=52.7
The required time taken by Denise to complete the race is 52.7 minutes.
Given that,
Denise runs a 10-kilometer race (6.2 miles). Her average time per mile is 8.5 minutes per mile.
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Denise runs a 10-kilometer race (6.2 miles).
Denise run 1 mile in 8.5 minutes
Time is taken by denis to run 6.2 miles = 6.2 * 8.5
= 52.7 minutes
Thus, the required time taken by Denise to complete the race is 52.7 minutes.
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What is the answer?
2500/x+20
=2500/(48.59)+20
If MO=16x, MN=14x+20, then what is the length of NM
Answer:
The length of NM would be -26 2/3.
g(t) = -4t + 2; Find g(6)
Answer:
g(6)=-22
Step-by-step explanation:
g(6)=-4(6)+2
g(6)=-24+2
g(6)=-22
The ratio of men to woman working for a company id 5 to 8. if there are 208 woman working for the company, what is the total numbers of employees
The ratio 0f men to worm is 5 to 8, so for every 8 women there are 5 men.
Divide the total woman by 8 and then multiply that by 5.
208/8 = 26 x 5 = 130
There is 130 men.
please help please solveit
Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim?
Complete question :
Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes
Answer:
Prax and sandy
Step-by-step explanation:
Given that:
Jim's pace = 4 miles in 38 minutes
Jim's rate = Distance covered / time.
Rate = 4 / 38 = 0.1052631 miles /min
Prax ran 6 miles in 57 minutes:
Prax rate : 6miles / 57 mins = 0.1052631
Jose ran 5 miles in 45.5 minutes:
Jose's rate = 5 miles / 45.5 = 0.1098901 miles /
minute
Sandy ran 7 miles in 66.5 minutes:
Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes
Zynep ran 3 miles in 27 minutes:
Zynep's rate : 3 / 27 = 0.1111111 miles / minutes
3 + 15 + 3
- 4 2
I need help figuring this out
Answer:
3+15+3-42
=18+3-42
=21-42
=-21