A child rides around on a ferris wheel twice. Click on the graph until the graph that best represents the given statement appears.
Answers
Answer:
The second graph.
Step-by-step explanation:
When the time is 0, the ride has not yet begun. Therefore the height above ground is nearly nothing.
As time increases, the ride goes up until it hits the top. The ride then goes back down nearly to the ground. This is one time around.
The ride then goes back up to the top and back down to the starting point.
This is the motion of the second graph, so the second graph is correct.
The second graph is used to represent A child rides around on a ferris wheel twice.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points
In the given graphs, the relationship between the height above ground and times are represented.
The second graph given is best suited to represent "A child rides around on a ferris wheel twice"
When the time is 0, the ride has not yet begun. Therefore the height above ground is nearly nothing.
As time increases, the ride goes up until it hits the top. The ride then goes back down nearly to the ground. This is one time around.
The ride then goes back up to the top and back down to the starting point.
This is the motion of the second graph, so the second graph is correct.
Hence second graph is used to represent the given situation.
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Related Questions
Keenan is checking his bicycle’s wheel. The wheel has a radius of 21 cm, and its center is 56 cm above the ground. Keenan is rotating the wheel at a constant speed of 165°/s. The height of a point on the tire as a function of time is given by h = 56 + 21 sin(165t), where h is the height in centimeters and t is the time in seconds. Find h when t = 17 s. Round your answer to the nearest tenth of a centimeter.
Answers
h = 56 + 21 sin(2805) = 64.9872592735... or approximately 65.0 cm when we round up to the nearest tenth of a centimeter.
Nayelly is weighing how much of a solid resulted from a chemical reaction on a scale that reads to the nearest 18 ounce. The measurement of the solid is 678 ounces. If the answer calls for the measurement to be rounded to the nearest tenth of an ounce, Nayelly should report that the solid weighed __________ ounces. Enter your answer as the decimal number that correctly fills in the blank in the previous sentence, like this: 42.6
Answers
The chart shows data for four moving objects , which object has the greatest acceleration?
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I solved this by using the acceleration formula - (Final Velocity - Initial Velocity)/(Final Time - Initial Time)
If you want all of the work, let me know. Hope this helps!
Answer:
Y
Step-by-step explanation:
What is 0 to the 0 power?
Answers
The value of 0 to the power of 0 (0^0) is undefined, it may be treated as 1.
Explanation:The value of 0 raised to the power of 0 (0^0) is undefined.
Mathematically, any nonzero number raised to the power of 0 is equal to 1. However, 0^0 is an indeterminate form, meaning that it does not have a well-defined value.
When evaluating expressions involving 0^0, different contexts may assign different values to it. In some cases, it may be treated as 1, while in others, it may be considered as undefined.
The distance between the baseball stadium and the airport is 1.6×106 centimeters. Which unit of measurement is most appropriate to measure this distance? inches kilometers feet milimeters
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Final answer:
The most appropriate unit of measurement to measure the distance between the baseball stadium and the airport, which is 1.6 × 10⁶ centimeters, would be kilometers.
Explanation:
The most appropriate unit of measurement to measure the distance between the baseball stadium and the airport, which is 1.6×10⁶ centimeters, would be kilometers.
When measuring long distances, kilometers are commonly used. Kilometers are larger units of measurement compared to centimeters and millimeters, making them appropriate for measuring large distances like the one mentioned in the question.
What is the simplified form of the following expression?
(n5)(n2)
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Over the last 4 years, Michael has earned $240 interest on an initial investment of $2,000. What simple annual interest rate is the bank paying on this account?
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I = interest
P = principal (investment)
R = simple interest rate
T = years
Formula: I = PRT
What information do we have?
I = $240
P = 2000
T = 4 years
R = ?
Plug into formula:
240 = 2000(R)4
Multiply right side 2000*4
240 = 8000R
Divide both sides by 8000.
R = 240/8000
R = .03
The simple annual interest rate was .03 or 3%.
If Michael has earned $240 interest on an initial investment of $2,000. , then simple interest is 3% for paying in bank.
What is simple Interest?Simple interest is a quick and easy method of calculating the interest charge on a loan.
Given that,
I = interest = $240
P = principal (investment)=2000
R = simple interest rate=?
T = years= 4 years
Formula: I = PRT
Plug into formula:
240 = 2000(R)4
Multiply right side 2000×4
240 = 8000R
Divide both sides by 8000.
R = 240/8000
R = 0.03
Now multiply with 100
The simple annual interest rate was .03 or 3%.
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PLEASE HELP ME. NO ONE IS HELPING ME. I AM SO CONFUSED. MY TEACHERS AND MY PARENTS WONT HELP ME EITHER.
Factor over the expression over the complex numbers.
x^2+20
Factor over the expression over the complex numbers.
x^2+36
Factor over the expression over the complex numbers.
x^4-81
Factor over the expression over the complex numbers.
y^4+14y^2+49
Factor over the expression over the complex numbers.
y^2+2y^2+16y+32
Answers
[tex]x^2+20 = (x)^2 + \left(\sqrt{20}\right)^2[/tex]
We have a sum of squares in the form a^2 + b^2 where
a = x
b = sqrt(20)
It turns out that
a^2 + b^2 = (a+bi)*(a-bi)
where i is the square root of negative 1
[tex]i=\sqrt{-1}[/tex]
So this means,
[tex]x^2+20 = (x)^2 + \left(\sqrt{20}\right)^2[/tex]
[tex]x^2+20 = \left(x+\sqrt{20}*i\right)\left(x-\sqrt{20}*i\right)[/tex]
Answer: [tex]\left(x+\sqrt{20}*i\right)\left(x-\sqrt{20}*i\right)[/tex]
========================================
Problem 2
Similar to problem 1, we use the formula
a^2 + b^2 = (a+bi)*(a-bi)
In this case,
a = x
b = 6
So,
a^2 + b^2 = (a+bi)*(a-bi)
x^2 + 6^2 = (x+6i)*(x-6i)
x^2 + 36 = (x+6i)*(x-6i)
Answer: (x+6i)*(x-6i)
========================================
Problem 3
Use the difference of squares rule twice to get
x^4 - 81 = (x^2)^2 - (9)^2
x^4 - 81 = (x^2-9)(x^2+9)
x^4 - 81 = (x^2-3^2)(x^2+9)
x^4 - 81 = (x-3)(x+3)(x^2+9)
x^4 - 81 = (x-3)(x+3)(x^2+3^2)
x^4 - 81 = (x-3)(x+3)(x-3i)(x+3i)
Answer: (x-3)(x+3)(x-3i)(x+3i)
========================================
Problem 4
This is in the form a^2 + 2*a*b + b^2 where
a = y^2
b = 7
So,
[tex]a^2 + 2*a*b + b^2 = (a+b)^2[/tex]
[tex](y^2)^2 + 2*(y^2)*7 + 7^2 = (y^2+7)^2[/tex]
[tex]y^4 + 14y^2 + 49 = (y^2+7)^2[/tex]
[tex]y^4 + 14y^2 + 49 = (y^2+(\sqrt{7})^2)^2[/tex]
[tex]y^4 + 14y^2 + 49 = ((y-\sqrt{7})(y+\sqrt{7}))^2[/tex]
Answer: [tex]y^4 + 14y^2 + 49 = ((y-\sqrt{7})(y+\sqrt{7}))^2[/tex]
========================================
Problem 5
I'm assuming the expression should be y^3+2y^2+16y+32
Use factoring by grouping
y^3+2y^2+16y+32
(y^3+2y^2)+(16y+32)
y^2(y+2)+(16y+32)
y^2(y+2)+16(y+2)
(y^2+16)(y+2)
(y^2+4^2)(y+2)
(y-4i)(y+4i)(y+2)
Answer: (y-4i)(y+4i)(y+2)
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents. (b3)2
Answers
Answer:
[tex]b^6[/tex]
Step-by-step explanation:
Given expression is,
[tex](b^3)^2[/tex],
By the power rule of exponent,
[tex](a^m)^n=a^{mn}[/tex]
Thus, we can write,
[tex](b^3)^2=b^{3\times 2}=b^6[/tex]
Since, further simplification is not possible,
Hence, the simplified form of the given expression,
[tex]b^6[/tex]
In a theater, there are 4 long rows of chairs, each with an equal number of chairs. There are 5 short rows of chairs, each with an equal number of chairs. On a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row. If x represents the number of chairs in each long row and y represents the number of chairs in each short row, the total number of chairs in the theater is given by the expression 4(x + 2) + 5(y + 3). An equivalent expression is
Answers
4x+8 + 5y + 15
4x + 5y + 23
Answer:
HERE IS THE ABSWER SRRY FOR CAPS 4(x+2) + 5(y+3)
4x+8 + 5y + 15
4x + 5y + 23
Step-by-step explanation:
The slope of a line is –2 and its y-intercept is (0, 3). What is the equation of the line that is parallel to the first line and passes through (2, 2)? A. 2x + y = 6 B. y = –2x + 3 C. 2003-10-03-00-00_files/i0060000.jpg D. y = –2x – 6
Answers
Answer:
The answer is A) 2x + y = 6
Step-by-step explanation:
Since the first line has a slope of -2, we know that the second does as well. We know this because parallel lines have the same slope. Now we can use that slope along with the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -2(x - 2)
y - 2 = -2x + 4
y = -2x + 6
In this case, to find an equation that is similar, we could put it into standard for.
y = -2x + 6
2x + y = 6
This is answer A
uncle sammy invests money on stocks and makes 7 to 13 percent the range of money Uncle sammy will make if he invests his next paycheck of $2,300. express the solution set in set notation and interval notation.
Answers
So we are given an increase of 7% to 13%, so we multiply the capital with 1.07 and 1.13. So the range is:
minimum = $2,300 * 1.07 = $2,461
maximum = $2,300 * 1.13 = $2,599
The set notation is:
interest, X = {7%, 13%}
money, Y = {$2461, $2599}
The interval notation is:
[$2461, $2599]
Find (f - g)(x).
f(x) = -3x + 2
g(x) = x3
Answers
Answer:
[tex](f-g)(x) = -x^{3} - 3\cdot x + 2[/tex]
Step-by-step explanation:
The new function is:
[tex](f-g) (x) = -3\cdot x + 2 -x^{3}[/tex]
[tex](f-g)(x) = -x^{3} - 3\cdot x + 2[/tex]
Timothy bought concrete mix for several projects. He used
3.5 bags of concrete mix for a new set of stairs and 2.25 bags
of concrete mix for a garden wall. Timothy mixed
345 pounds of concrete in all.
a. Model with Math Write an equation that can be
represented by the bar diagram.
b. Solve for y. How many pounds of concrete does each bag make?
Answers
5.75y=345
60
Each bag makes 60 lbs of concrete
Answer:
The required model is [tex]3.5y+2.25y=345[/tex]
60 pounds of concrete each bag make.
Step-by-step explanation:
Consider the provided information.
Let the number of concrete bags are used is represented by y.
Part (A)
3.5 bags of concrete mix for a new set of stairs and 2.25 bags of concrete mix for a garden wall.
This can be written as:
[tex]3.5y+2.25y[/tex]
Timothy mixed 345 pounds of concrete in all.
Therefore, [tex]3.5y+2.25y=345[/tex]
Hence, the required model is [tex]3.5y+2.25y=345[/tex]
Part (B) Solve for y. How many pounds of concrete does each bag make?
Consider the above equation.
[tex]3.5y+2.25y=345[/tex]
Solve the equation for y as shown.
Add the like terms.
[tex]5.75y=345[/tex]
Divide both the sides by 5.75
[tex]y=60[/tex]
Hence, 60 pounds of concrete each bag make.
Write an equation that describes the function.
Answers
Find the geometric mean of 6/5 and 120. Show in simplest radical form.
Answers
Which type of correlation would you expect between a company's advertising budget and its volume of sales? Why?
A) 0; relatively no correlation
B) The correlation cannot be predicted.
C) positive; advertising increases, sales increase.
D) negative; fewer sales, less money for advertising.
Answers
Answer:is c
Step-by-step explanation:
I did on usatestprep
I need help with this question.
Which inequality is graphed below?
3x + 2y < –6
3x + 2y > –6
3x – 2y > 6
3x – 2y < 6
Answers
3x – 2y > 6
Answer:
3x - 2y > 6
C is correct
Step-by-step explanation:
We are given a graph of inequality function and we need to find out the equation of graph.
First we find the equation of equality and then find inequality.
x-intercept: (2,0)
y-intercept: (0,-3)
Now we find equation of line intercept form:
[tex]\dfrac{x}{2}-\dfrac{y}{3}=1[/tex]
[tex]3x-2y=6[/tex]
Now we find inequality sign
If we take (0,0) as test point. It would be false because (0,0) is not in shaded area.
Put (0,0) into 3x-2y=6
3(0) - 2(0) ____ 6
0 ___ 6
We make it false
0 > 6
So, correct equation is 3x - 2y > 6
Hence, The equation of the given graph is 3x - 2y > 6
What x-value makes the set of ratios equivalent? Tiles 2 : 3 = 6 : x ,4 : 7 = x : 42 , 2x : 48 = 3 : 12, 12 : 15 = x : 20
Pairs691624
Answers
The missing x-values are 9, 24, 12, and 16, ensuring proportions remain equal in each ratio set.
To find the missing values that make the sets of ratios equivalent, we can use proportions.
1. Tiles 2 : 3 = 6 : x
Cross multiplying, we get: 2x = 18
So, x = 9
2. 4 : 7 = x : 42
Cross multiplying, we get: 7x = 168
So, x = 24
3. 2x : 48 = 3 : 12
Cross multiplying, we get: 12x = 144
So, x = 12
4. 12 : 15 = x : 20
Cross multiplying, we get: 15x = 240
So, x = 16
Therefore, the x-values that make the sets of ratios equivalent are:
1. x = 9
2. x = 24
3. x = 12
4. x = 16
The apartments in Brian's apartment house are numbered consecutively on each floor. The sum of his number and his next-door neighbor's number is 1419. What are the two numbers?
Answers
(a) and (b) are neighbors , whe have:
a + b = 1419 and b-a = 1;
<=> a + b = 1419 and a = b-1 ;
so we have b-1 + b = 1419 <=> 2b = 1420 <=> b=710 and a = 709
Answer: 710 and 709