In 2004, the world's largest carousel was located at the House on the Rock, in Spring Green, Wisconsin. Suppose that the center of the carousel is at the origin and that one of the animals on the circumference of the carousel has coordinates (24, 32). If one unit of the coordinate plane equals 1 foot, what is the diameter of the carousel
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Which of the following is true for the angular momentum of a rotating bicycle wheel?
(Points : 1)
It is a vector that points in the direction the bike would travel.
It is a vector that points along the axis of rotation perpendicular to the wheel.
It is a vector pointing radially outward from the center to the edge of the wheel.
It is a scalar.,
The following is the correct way to begin solving for the quotient of 39.538 divided by 5.3 using the standard method:
True
False
ILL GIVE BRAINLIEST IF U GET IT RIGHT!!
Answer:the answer is false
Cara muffin recipe calls for 1 1/2 cups of flour for the muffins and 1/4 cup flour for the topping.If she makes 1/2 of the original recipe.How much flour will she use.
The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Recipe:
Amount of flour for muffins = [tex]1\frac{1}{2}[/tex] = 3/2 cups
Amount of flour for toppings = [tex]\frac{1}{4}[/tex] = 1/4 cups
The total amount of flour:
= 3/2 + 1/4
= (12 + 2) / 8
= 14 / 8
= 7/4 cups
We see that the total amount of flour needed to make one Cara muffin recipe is 7/4 cup of flour.
To make 1/2 of the original recipe.
The amount of flour needed:
1 recipe = 7/4 cups
Divide both sides by 2.
1/2 recipe = 1/2 x 7/4 cups
1/2 recipe = 7/8 cups
Thus,
The amount of cups of flour needed to make 1/2 of the original recipe is 7/8 cups.
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If ED = 10 and DB = 3x-8, what is the length of EB
1. 32
2. 22
3. 10
4. 20
How would you factor
4x^3 + 2x^2 + 2x?
Please explain in steps not just give me the straight answer.
Answer:
[tex]2x(2x^2+x+1)[/tex]
Step-by-step explanation:
We have been given an expression and we are asked to find factor out our given expression.
[tex]4x^3+2x^2+2x[/tex]
To factor our given expression we need to factor out the greatest common factor of each term of our given expression.
We can rewrite our given expression as:
[tex](2\cdot 2\cdot x\cdot x\cdot x)+(2x\cdot x)+2x[/tex]
We can see that the greatest common factor of our given expression is 2x.
Upon factoring out 2x from our given expression we will get,
[tex]2x(2\cdot x\cdot x+x+1)[/tex]
[tex]2x(2x^2+x+1)[/tex]
Therefore, the factored form of our given expression is [tex]2x(2x^2+x+1)[/tex] .
Calculate the difference 12.0875 – 7.50 using significant digits.
A. 4.5
B. 4.587
C. 4.59
D. 4.6
C. 4.59
Step-by-step explanation:Significant digits are digits expressing precision of a measurement. Non-zero digits are always significant but zeroes can be either included or ignored. For instance, zeroes that comes before other digits aren't significant. For example 0.058 has two significant digits. In this exercise, we have two numbers:
12.0875
7.50
The number 12.0875 has five significant digits while 7.50 has three significant digits. If we add or subtract two numbers, the least number of decimal places (that isn't the same as significant digits) in any of the two numbers must be the same as the number of decimal places in the result. Hence, for 12.0875 we have four decimal places and for 7.50 we have two decimal places. Therefore, the result must have two decimal places:
12.0875 - 7.50 = 4.59
The formula v =sqrt 64h can be used to find the velocity, v, in feet per second, of an object that has fallen h feet. Find the velocity of an object that has fallen 75 feet. Round to the nearest tenth.,
What is the value of n? Enter you answer in the box.
Please help! Even just explaining how to do it will help a lot.
Answer:
The value of n is [tex]n=4[/tex]
Step-by-step explanation:
we know that
The intersecting chords theorem states that the products of the lengths of the line segments on each chord in a circle are equal
so
In this problem
[tex](n+2)16=(n+8)8[/tex]
solve for n
[tex]16n+32=8n+64[/tex]
[tex]16n-8n=64-32[/tex]
[tex]8n=32[/tex]
[tex]n=4[/tex]
A circle of radius 1 centered at (4, 0) is rotated about the y-axus. Draw a picture of the three-dimensional shape that is produced when the circle is rotated about the y-axis. In two or more complete sentences, describe the three-dimensional shape. Upload both parts A and B as your final answer.
When a circle rotates around the y-axis, it forms a three-dimensional object known as a cylinder. The cylinder will have a radius of 1 and height equal to the diameter of the circle, which is 2.
Explanation:When a circle of radius 1 centered at (4,0) is rotated about the y-axis, the three-dimensional shape that is produced is known as a cylinder.
This cylinder would have a radius of 1, and its height would be equal to the length of the diameter of the original circle, which is 2 units (from -1 to 1 along the x-axis).In terms of the visual representation, imagine a circle on a piece of paper, now pick up the paper and rotate it about the line that is the y-axis. The paper, on which the circle is drawn, forms a cylindrical shape when rotated. The edges of the paper represent the bases of the cylinder and the surface of the paper forms the curved surface of the cylinder.Learn more about 3D Shapes after Rotation here:
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identify a counterexample for the following conditional: if you live in Springfield, then you Iive in Illinois.
If △STU ~ △XYZ, which statements must be true? Check all that apply. ∠S ≅ ∠X ∠T ≅ ∠Y ST = XY SU = XZ
Two triangles are similar if and only if there corresponding angles are congruent and the ratio of there corresponding sides are equal. Triangle STU is similar to triangle XYZ than [tex]\rm \angle S \cong \angle X[/tex] , [tex]\rm \angle T \cong \angle Y[/tex] and [tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex].
Given :
[tex]\rm \Delta STU \sim \Delta XYZ[/tex]
Two triangles are similar if and only if there corresponding angles are congruent and the ratio of there corresponding sides are equal.
Now, it is given that triangle STU is similar to triangle XYZ. This condition is only true when:
[tex]\rm \angle S \cong \angle X[/tex][tex]\rm \angle T \cong \angle Y[/tex][tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex]It can be conclude that if triangle STU is similar to triangle XYZ than [tex]\rm \angle S \cong \angle X[/tex] , [tex]\rm \angle T \cong \angle Y[/tex] and [tex]\rm \dfrac{ST}{XY}=\dfrac{TU}{YZ}=\dfrac{SU}{XZ}[/tex] . Therefore, the correct option is A), C) and D).
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The diameter of a sphere is 21.6 cm. What is the sphere's volume? Round to the nearest tenth, if necessary.
When a number is divided by -3, the result is 12 more than the number what is the number?
Final answer:
To find the number that, when divided by -3, the result is 12 more than the number, we set up an equation and solve it to get the answer, which is -9.
Explanation:
When a number is divided by -3, and the result is 12 more than the number itself, we can set up the following equation to find the number: number / -3 = number + 12. Following division and multiplication rules for signs, and executing proper algebraic manipulations, we can solve this equation.
First, we multiply both sides by -3 to get rid of the fraction:
-3 * (number / -3) = -3 * (number + 12),
which simplifies to:
number = -3(number) - 36.
Next, we add 3(number) to both sides to get:
4(number) = -36.
Finally, we divide both sides by 4 to isolate the 'number':
number = -36 / 4
number = -9.
Therefore, the number in question is -9.
pls help me with this one question
This is a word problem where you have to create an equation and a solution to.
"Michaela and Aleah play on the same basketball team. In one game Michaela scored one fifth of the team's points and Aleah scored one tenth's of the teams points. Together they scored a total of 42 points. How many points did the team score?"
(I might find an equation for it, but I doubt it so if anyone is good with creating equations for word problems please help me!!)
-matty
To solve this word problem, set up the equation (1/5) x + (1/10) x = 42 and solve for x. The team scored 140 points.
Explanation:To solve this word problem, we can start by letting the total number of points scored by the team be represented by 'x'. Since Michaela scored one-fifth of the team's points, her score can be represented as (1/5)x. Similarly, Aleah's score can be represented as (1/10)x. Together, their scores add up to 42 points, so we can set up the equation:
(1/5)x + (1/10)x = 42
To simplify the equation, we can find a common denominator of 10:
(2/10) x + (1/10) x = 42
Combining like terms, we get:
(3/10) x = 42
To isolate x, we can multiply both sides of the equation by 10/3:
x = 42 * (10/3)
Simplifying further, we get:
x = 140
Therefore, the team scored 140 points.
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The following sequence is an arithmetic sequence what comes next ? 7,___,17
Since this is an arithmetic sequence, you can conclude that the addition to the number is constant.
Let x = the number asked
k = constant number added to the sequence
7 + k = x
x + k = 17
Solve the system of equation:
7 + k + k = 17
7 + 2k = 17
2k = 10
k = 5
Therefore, the missing number is 12 (7 + 5).
When the town of Bradyville first started its voluntary recycling program, 1500 of the town’s residence participated. The town predicts that the number of people participating in the recycling program will increase by 15% each year.
Which explicit rule can be used to determine the number of people participating in the program in the fifth year?
an=1500(1.15)^n−1
an=1500(0.15)^n
an=1500(1.15)n
an=1500(0.15)^n−1
Answer:
Here you go. :)
simplify 8v + W + 7 - 8v + 2w
The radius of a circle is equal to half of its diameter. What is the RADIUS of this circle?
A little help pwease :o ? A group of 45 people attended a ball game. There were twice as many children as adults in the group. Set up a system of equations that represents the numbers of adults and children who attended the game and solve the system to find the number of children who were in the group. O.o
Please help!!! Thank you!!!
Which is an example of the associative property?
A) x + 5 = 5 + x
B) (x + 3) + 7 = x + (3 + 7)
C) 3 • (x + 5) = 3 • x + 15
D) If x = a, and a = 7, then x =
Which of the following values are zeros of
x(x+5)(x-3)?
SELECT ALL THAT APPLY.
A. -5
B. -3
C. 0
D. 3
E. 5
John bikes for 2 hours at a speed of 15 miles per hour. How many hours will it take Shannon to cover the same distance at a speed of 10 mi/h?
Answer:
3 hours to travel 30 miles biking at 10mph
Step-by-step explanation:
hope this helps... :)
I’m not sure how to use integration to solve this question (4)
Which of the following statements is true about the given function?
Most flat screen TVs today are made with an aspect ratio (ratio of the length to the height) of 16:9. Xenock Electronics' top selling TV is their 28-inch model, whose viewing area has a length of 24 inches and a height of 13.5 inches. This TV costs $226.99. They have three main competitors that claim to offer a better deal per viewing area. Phil's Supercenter claims their 18-inch model, whose viewing area length is of the length of Xenock's 28-inch model, is a better deal per viewing area at $152.99. Tyler's Electronics claims their 33-inch model, whose viewing area height is 20% taller than Xenock's 28-inch model, is a better deal per viewing area at $276.99. Beltre's Superstore claims their 82-inch model, whose viewing area dimensions are 300% as large as Xenock's 28-inch model, is a better deal per viewing area at $2,079.99. List the TV's in order of best deal per viewing area. Assume all TV's have the same aspect ratio.
Choose the correct product of (7x − 3)(7x + 3). 49x2 + 9 49x2 − 42x + 9 49x2 − 9 49x2 + 42x + 9
Final answer:
The product of the binomials (7x - 3)(7x + 3) is calculated using the difference of squares formula, resulting in 49x² - 9.
Explanation:
To find the correct product of the binomials (7x − 3)(7x + 3), we use the difference of squares formula, a² - b² = (a - b)(a + b). In this case, a is 7x and b is 3. Thus, the product is:
(7x − 3)(7x + 3) = (7x)² - (3)²
= 49x² - 9
Therefore, the correct product is 49x² - 9.