A tire rotates450 times per min. Through how many degrees does a point on
the edge of the
tire move in 1 sec?
Answers
The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
A tire is rotating 450 times per minute.
Convert RPM into RPS. Then we have
⇒ 450 / 60
⇒ 7.5 times per second
Then the number of the degrees of a point on the edge of the tire move in 1 seconds will be :
⇒ 7.5 x 1 x 360°
⇒ 2700°
The number of the degrees of a point on the edge of the tire moving in 1 seconds will be 2700°.
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Which quadrant is the number –14 – 5i located on the complex plane? I / II / III / IV
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Simplify square root of 5 multiplied by the cube root of 5.5 to the power of 5 over 6 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 7 over 6
feet and a standard deviation of 0.5
feet. Which of the following is the
probability that a randomly selected
adult has a height over 7 feet?
Answers
The probability that a randomly selected adult has a height over 7 feet is nearly 100%, which means it's very likely that a randomly selected adult will have a height over 7 feet in this normal distribution.
To find the probability that a randomly selected adult has a height over 7 feet in a normal distribution with a mean of 5.5 feet and a standard deviation of 0.5 feet, you can use the Z-score and the standard normal distribution table.
First, calculate the Z-score for a height of 7 feet using the formula:
Where:
- X is the value you're interested in (in this case, 7 feet).
- μ (mu) is the mean (5.5 feet).
- σ (sigma) is the standard deviation (0.5 feet).
Now, you have the Z-score, which represents how many standard deviations above the mean the height of 7 feet is.
Next, you can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 3. In most standard normal distribution tables, a Z-score of 3 corresponds to a probability close to 1 (or 100%).
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Answers
when x->+infinity , y-->+infinity
when x->-infinity, y->+infinity
The end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is x -> +∞, y-->+∞ and x -> -∞, y->+∞
How to determine the end behavior?
The equation of the function is given as:
f(x) = 3x⁶ + 30x⁵ + 75x⁴
Next, we plot the graph of the function
From the attached graph, we have the following highlights:
- As x increase, y increases
- As x decreases, y increases
Hence, the end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is x -> +∞, y-->+∞ and x -> -∞, y->+∞
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Answers
Answers
Answer:
37 students are in the class
Step-by-step explanation:
There are 8 regions which the most inclusive clue is the inner one with 12.
- "14 on a plane and boat" so we fill the intersection with plane and boat with 14-12=2
- "20 on train an boat" 20-12=8 in the intersection
- "15 on plane and train" = 15-12 = 3
now we look at this:
- "22 students have been on a plane" 22 - (2+12+3) = 5 on the plane
- "28 on a train" 28 - (12+8+3) = 5 on the train
- "23 on a boat" 23-(12+8+2) = 1 on the boat
Just add up all the 8 numbers in the regions:
12+2+8+3+5+5+1+1=37
In a class, 22 students have been on a plane, 28 on a train, 23 on a boat, 15 on a plane and train, 20 on a train and boat, 14 on a plane and boat, and 12 on all three, and 1 on none of them. How many students are in the class?
(1, 5, 3, 12, 2, 5, 8, 1) = 37
Q#3!
In a class of 32 students, 17 are wearing jeans, 8 are wearing T-shirts, and 7 are wearing both. How many students are wearing jeans and something other than a T-shirt?
17 - 7 = 10
Answers
The number is 12.
What is algebraic expression?
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
let number be x.
3x-24 = x
3x-x = 24
2x=24
x = 12
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Answers
The solution to 6.6 - 1/3 without using a calculator is 94/15.
Given is a subtraction expression 6.6 - 1/3, we need to solve it,
To solve 6.6 - 1/3, we can convert the decimal number 6.6 into an improper fraction.
Convert the decimal 6.6 to an improper fraction.
We can rewrite 6.6 as 6 + 0.6. Since there are 6 whole units and 6 tenths, we can express it as:
6.6 = 6 + 6/10
6.6 = 6 + 3/5
Now, subtract 1/3 from 6 + 3/5.
To subtract fractions, we need to find a common denominator. In this case, the common denominator is 15, which is the least common multiple (LCM) of 3 and 5.
6 + 3/5 - 1/3 can be rewritten with the common denominator of 15:
(6 x 15)/15 + (3 x 3)/15 - (1 x 5)/15
Simplifying the numerator, we get:
90/15 + 9/15 - 5/15
Now, combine the numerators:
(90 + 9 - 5)/15
Simplifying further:
94/15
Therefore, the solution to 6.6 - 1/3 is 94/15.
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