The length of the intercepted arc on the unit circle is equal to the radius of the circle times the angle in radians. In this case, since the unit circle has a radius of 1, the length of the intercepted arc is simply equal to the angle in radians.
So, the length of the intercepted arc for an angle of 1.5 radians is 1.5 units (since the angle is given in radians, not degrees).
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Find the volume of the cylinder.
r = 5 cm
h = 9 cm
Answer:
About 706.5 or 707
Explanation:
3.14 • 5² (5² is also 25) = 78.5
78.5 • 9 = 706.5 or 707
Edit: Also posted a better picture for explanation. See the attachment.
two times a number is divided by 3 more than the number. if the result is 7, then what was the original number?
The original number is -21/5 or -4.2 which is divided by 3 more than the number.
What is an equation?In mathematics, an equation is a statement or formula which shows two expressions having equal value and connected by an equal sign. The two expressions consist of variables and/or numbers.
For solving the question we have to form an equation.Let the number be 'x' Two times the number = 2x3 more than the number = x + 3
According to the question,two times a number is divided by 3 more than the number is equal to 7 which means 2x / (x+3) = 7
By applying cross multiplication,2x = 7 × ( x+3)2x
= 7x + 7×32x
= 7x + 212x - 7x
= 21-5x = 21x = 21/ (-5)x
= -4.2
Hence the original number is -4.2
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Write Down the possible values of x
Answer:
2,3,4,5,6,7,8
Step-by-step explanation:
In words, the expression 2 ≤ x ≤ 8 translates to
"values of x between and inclusive of 2 and 8"
since we are being asked for integers, the possible values that match this description are 2,3,4,5,6,7,8
Answer:
The correct answer is 3,4,5,6,7
Step-by-step explanation:
The signs < and > infer that the correct answer can it be either of these.
Because x is greater than two but less that eight, the number 3,4,5,6, and 7 are the only possible answers for x
PLEASE HELP!!! I NEED HELPPPPP!!! I HAVE 5 MINUTES TO DO THIS!!!!!
Q.4 What is the difference between price floors and price ceiling? Give example and illustrate graphically in support of your answer.
A price floor is a law that limits the minimum price at which a good, service, or factor of production can be sold while a price ceiling is a regulation that limits the maximum price at which a good, service, or factor of production can be sold
Price floors are commonly implemented to support producers, while price ceilings are typically put in place to protect consumers from higher prices that might result from shortages or monopolies.
Example of Price Floor:Agricultural subsidies are a common example of price floors. Government price floors ensure that farmers receive a minimum price for their crops.
If the market price of wheat falls below the government-established price floor, the government may buy the excess supply at the guaranteed price, ensuring that farmers are able to make a profit. If there is a price floor, the minimum price is set above the equilibrium price.
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Part D
What is the probability of the next wolf caught in the park being unmarked? Write the probability as a fraction, a decimal number, and a percentage.
Animal Total in Park Number Marked
elk 5,625 225
wolf 928 232
cougar 865 173
bear 1,940 679
mountain goat 328 164
deer 350 105
moose 215 86
Answer:
636/928 = 137/200
0.685
68.5%
Step-by-step explanation:
Please Somebody Help Me!
Answer:
-15
Step-by-step explanation:
g(-1) = -2(-1)^2 -4 = -2 *1 -4 = -6
f(-2) = (-2)^2 -3 = 4 -3 = 1
3* [g(-1)+ f(-2) ]
3( -6+1)
3 ( -5)
-15
What is 576/9 simplified?
Answer:
It is 64. Pls mark me as brainliest.
Step-by-step explanation:
You divide.
576÷9=64
576÷9
9÷9=1
64/1
or
64
There both the same.
Answer:
Reduce 576/9 to lowest terms
The simplest form of
576 /9 is 64/1
Step-by-step explanation:
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 576 and 9 is 9
Divide both the numerator and denominator by the GCD
576 ÷ 9
9 ÷ 9
Reduced fraction:
64 /1
Therefore, 576/9 simplified to lowest terms is 64/1.
simplify the following expressions ( combine like-terms )
Answer:
x + 5
Step-by-step explanation:
Step 1: Write expression
x + 2 + 3
Step 2: Combine like terms (constants)
x + 5
Solve 5x+x−3x>−12.
The Solution Is ___ ??
Please help! Thank You <3
Answer:
Therefore, x > -4 .
Step-by-step explanation:
First, you have to collect like terms :
5x + x - 3x > -12
3x > -12
Next, you have to divide both sides by 3 in order to eliminate 3 on the left side :
3x > -12
3x ÷ 3 > - 12 ÷ 3
x > -4
Match each expression with its value. −9 7 −2 Undefined h( 3.999 ) h(4) h(4.0001) h(9)
The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.
Let's match each expression with its corresponding value:
Expression: -9
Value: -9
Expression: 7
Value: 7
Expression: -2
Value: -2
Expression: Undefined
Value: Undefined
Expression: h(3.999)
Value: Undefined
Expression: h(4)
Value: 8
Expression: h(4.0001)
Value: Undefined
Expression: h(9)
Value: Undefined
Now let's explain the reasoning behind each value:
The expression -9 represents the number -9, so its value is -9.
Similarly, the expression 7 represents the number 7, so its value is 7.
The expression -2 represents the number -2, so its value is -2.
When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.
For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.
The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.
Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.
Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.
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I need help please. I will give brainlyist.
Answer:
If you are solving for V, the answer is \(v = 1, -1\)
Step-by-step explanation:
Take the root of both sides and solve.
Hope this helps!
A sample of 337 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according to major ("biology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below.
Using it's concept, the relative frequency of business majors in the sample is of 0.16 = 16%.
What is a relative frequency?
A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 337 students, of which 30 + 24 = 54 students are business majors, hence the relative frequency is:
r = 54/337 = 0.16 = 16%.
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how do i take 5 km out of 15km as a simple fraction
1/3 is simple fraction.
What does a fraction mean mathematically?
Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.
Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other. A fraction is a piece of a whole number and a means to divide a number into pieces that are each equal. The numerator, also known as the number of equal parts being counted, is expressed as being greater than the denominator, also known as the number of parts in the entire.
= 5km/15km
= 5/15
= 1/3
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Select the correct answer. Which expression is equivalent to the given expression? Assume the denominator does not equal zero. ((3C^(4)d^(4))/(2d^(9)))^(3) (3d^(4))/(2c^(2)) (27d^(2))/(8c^(2))
(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. The correct is option (C).
The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).
We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .
Let us simplify the given expression.
((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)
Now, we need to compare this expression with the expressions given in the answer choices.
Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.
Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.
Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.
Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).
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A car dealership increase the price of a single by 6% original price was $37,800 what is the price
Answer:
$40,068
Step-by-step explanation:
37,800 x 0.06 = 2,268
37,800 + 2,268 = 40,068
-4x-3(x+8) what’s the answer
Answer:-7x-24
Step-by-step explanation:
Answer:
-7x-24
Step-by-step explanation:
not sure if youre looking for what x equals or just distribution of -3
-4x-3(x+8)
distribute -3 to x and 8 (multiply)
-4x-3x-24
add like terms
-7x-24
In an experiment on plant hardiness, a researcher gathers 4 wheat plants, 3 barley plants, and 3 rye plants. She wishes to select 7 plants at random.
In how many ways can this be done if 1 rye plant is to be included?
There are 91 ways to select 7 plants if 1 rye plant is to be included.
If 1 rye plant is to be included in the selection of 7 plants, there are two cases to consider: selecting the remaining 6 plants from the remaining wheat and barley plants, or selecting the remaining 6 plants from the remaining wheat, barley, and rye plants.
Case 1: Selecting 6 plants from the remaining wheat and barley plants
There are 4 wheat plants and 3 barley plants remaining, making a total of 7 plants. We need to select 6 plants from these 7. This can be calculated using combinations:
Number of ways = C(7, 6) = 7
Case 2: Selecting 6 plants from the remaining wheat, barley, and rye plants
There are 4 wheat plants, 3 barley plants, and 2 rye plants remaining, making a total of 9 plants. We need to select 6 plants from these 9. Again, we can calculate this using combinations:
Number of ways = C(9, 6) = 84
Therefore, the total number of ways to select 7 plants if 1 rye plant is to be included is the sum of the number of ways from both cases:
Total number of ways = Number of ways in Case 1 + Number of ways in Case 2
Total number of ways = 7 + 84
Total number of ways = 91
Hence, there are 91 ways to select 7 plants if 1 rye plant is to be included.
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We can conclude that Y=390⋅3X (you can select all the answers that apply):
the slope is positive, ad it is equal to 3
When X=0,Y=390
the relation between X and Y is horizontal
When Y=0,X=130
The slope is -3
the relation between X tind Y is vertical
No answer text provided.
As X goes up Y goes down (downward sloping or negative relationship between X and Y )
The slope is positive and equal to 3, there is a positive relationship between X and Y. The remaining statements regarding a horizontal relation, a negative slope, or a vertical relation between X and Y are incorrect.
Based on the given information, we can conclude the following:
1. The slope is positive, and it is equal to 3: The coefficient of X in the equation Y = 390 * 3X is 3, indicating a positive relationship between X and Y. For every unit increase in X, Y increases by 3 units.
2. When X = 0, Y = 390: When X is zero, the equation becomes Y = 390 * 3 * 0 = 0. Therefore, when X is zero, Y is also zero.
3. The relation between X and Y is horizontal: The statement "the relation between X and Y is horizontal" is incorrect. The given equation Y = 390 * 3X implies a linear relationship between X and Y with a positive slope, meaning that as X increases, Y also increases.
4. When Y = 0, X = 130: To find the value of X when Y is zero, we can rearrange the equation Y = 390 * 3X as 3X = 0. Dividing both sides by 3, we get X = 0. Therefore, when Y is zero, X is also zero, not 130 as stated.
5. The slope is -3: The statement "the slope is -3" is incorrect. In the given equation Y = 390 * 3X, the slope is positive and equal to 3, as mentioned earlier.
6. The relation between X and Y is vertical: The statement "the relation between X and Y is vertical" is incorrect. A vertical relationship between X and Y would imply that there is no change in Y with respect to changes in X, which contradicts the given equation that shows a positive slope of 3.
7. As X goes up, Y goes down (downward sloping or negative relationship between X and Y): This statement is incorrect. The equation Y = 390 * 3X indicates a positive relationship between X and Y, meaning that as X increases, Y also increases.
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In a circle, an angle measuring 2.4 radians intercepts an arc of length 24.4. Find the radius of the circle to the nearest
The radius of the circle is approximately 10.17 units (rounded to two decimal places).
To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:
arc length = radius x central angle
In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:
24.4 = r x 2.4
Solving for r, we get:
r = 24.4 / 2.4
r ≈ 10.17
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NEED HELP ASAP 40 POINTS GEOMETRY QUESTION PLEASE GIVE FULL ANSWER!!!Which of the lines listed below is perpendicular to the line with the equation
Answer:
Step-by-step explanation
7 cm
5.2 cm
6 cm
6 cm
6 cm
Answer:
m24,m249,m416,kar98k
Step-by-step explanation:
過文はまやたらあわまはやたはたやはたやたなまやたはたはまはたやあはたはたはたはたはた
a pronghorn analope can run at speeds of about 59 miles per hour what is that speed in feet per second to the nearest whole number (remember that there are 5280 feet in a mile 60 seconds in a minute and 60 minutes in a hour
Answer:
87 ft/sec
Step-by-step explanation:
mile/hr * hr/ seconds * feet/mile = feet per second
( see how 'mile' and 'hr' cancel out and you are left with feet/sec ?)
Now, put in the numbers :
59 * 1/3600 * 5280 = 86.533 = 87 ft/sec
what is a solutions of x^2-2x+10=0?
Answer:
x = 1± 3i
Step-by-step explanation:
x^2-2x+10=0
We can complete the square to solve by subtracting 10 from each side
x^2-2x+10-10=-10
x^2 -2x = -10
We need to add (2/2) ^2 to each side or 1
x^2 -2x+1 = -10 +1
x^2 -2x+1 = -9
The left side factors into (x- (2/2) ) ^2
(x-1) ^2 = -9
Take the square root of each side
sqrt((x-1) ^2 =± sqrt(-9)
x-1 = ±sqrt(-1) sqrt(3)
Remember the sqrt(-1) = i
x-1 = ± 3i
Add 1 to each side
x-1+1 = 1± 3i
x = 1± 3i
U6W3 A1.1.1.5.1 Mastery Check Polynomial Operations April 25 Perform the following operation with the polynomial and pick the correct answer:
(2x-3)(2x+3)
A 4x^2 + 12x - 9
B 4x^2-9
C 4x + 12
d 4x+9
give me an answer asap
The correct answer of the operation is option B: 4x^2 - 9.
To perform the operation (2x-3)(2x+3), we can use the FOIL method, which stands for First, Outer, Inner, Last. Let's go through the steps:
First: Multiply the first terms of each binomial.
(2x)(2x) = 4x^2
Outer: Multiply the outer terms of each binomial.
(2x)(3) = 6x
Inner: Multiply the inner terms of each binomial.
(-3)(2x) = -6x
Last: Multiply the last terms of each binomial.
(-3)(3) = -9
A binomial is a two-term algebraic expression that contains variable, coefficient, exponents and constant, a binomial is an expression that has two unlike terms connected through an addition or subtraction operator in between.
Now, let's combine the like terms:
4x^2 + 6x - 6x - 9
Notice that the terms 6x and -6x cancel each other out.
Simplifying further, we have:
4x^2 - 9
The correct answer is option B: 4x^2 - 9.
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In this activity, you will investigate how the height of water in a graduated cylinder is a function of the volume of water in the graduated cylinder.
Before you get started, make a prediction about the shape of the graph and sketch what you think it will look like.
Think about whether the graph will be linear, non linear, increasing, decreasing, etc.
Based on the given activity, I predict that the graph of the height of water in a graduated cylinder as a function of the volume of water in the graduated cylinder will be a non-linear graph.
This is because the relationship between the height and volume of water in the graduated cylinder is not a direct one. The height of water in the cylinder is affected by various factors such as the shape and size of the cylinder, as well as the surface tension and adhesion of water. Therefore, the graph is likely to be non-linear.
Moreover, the graph is expected to be increasing as the volume of water increases because the higher the volume of water in the graduated cylinder, the higher the water level will be. However, this increase will not be linear as the factors mentioned earlier will influence the relationship between height and volume.
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Fill in the blank so that the resulting statement is true. The first step in solving ∣R+Ir=E for I is to obtain a single occurrence of I by............................I from the two terms on the left. The first step in solving IR+Ir=E for I is to obtain a single occurrence of I by.................................. I from the two terms on the left.
The first step in solving ∣R+Ir=E for I is to obtain a single occurrence of I by factoring out I from the two terms on the left. By using the distributive property of multiplication, we can rewrite the equation as I(R+r)=E.
Next, to isolate I, we need to divide both sides of the equation by (R+r).
This yields I=(E/(R+r)). Now, let's move on to the second equation, IR+Ir=E. Similarly, we can factor out I from the left side to get I(R+r)=E.
To obtain a single occurrence of I, we divide both sides by (R+r), resulting in I=(E/(R+r)).
Therefore, the first step in both equations is identical: obtaining a single occurrence of I by factoring it out from the two terms on the left and then dividing by the sum of R and r.
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Ram sold to Shyam an article with 20% profit. Shyam sold same article for Rs. 504 with 5% profit to Ghanashyam. How much did it cost for Ram?
please do this with solutions quickly!!
Answer:
Rs 400 is the cost of an article for Ram.....
Step-by-step explanation:
X - cost of an article for Ram
120% = 1.2
1.2*X - Ram’s selling price
5% = 0.05
1.2*X*0.05 - Shyam selling price
1.2*X*0.05 = 504
X = Rs 400 is the cost of an article for Ram
Hope it Helps!!!!
Sian invests £7000 for 3 years at 4% per annum compound interest. Find the compound interest earned in the 3 years.
Answer:
840.
Step-by-step explanation:
4%of £7000=£280
£280 x 3(years)=£840
All three points displayed are on line. Find an equation relation x and y
Answer:
y=0.5x+1.5
Step-by-step explanation:
fisrt take two of the pints and find the slop using the correct formula. i will use points (6,9) and (3,3) 6-3=3 and 9-3=6 3 divided by 6 is 0.5. zero point five is our slope. now we find the y-interept. i will use the point (3,3). our equation now is 3=0.5x3+b ill take 0.5 and subrat 0.5 from it, to cancel it out and get zero. now i will multiply 3 by 0.5 to get 1.5. now i will subtract 1.5 from 1.5 to cancel it out and get zero. i will now subtract 1.5 from 3 to get 1.5. this is now our y-intercept. lastly we put these numbers into an equation. y=0.5x+1.5
hope this helped :)