Final answer:
The constant of proportionality of 1/3 means that for every unit increase in one variable, the other variable increases by 1/3 of that unit. It is a number that relates two quantities that are directly proportional to each other.
Explanation:
The question 'what is the constant of proportionality of 1/3' can be related to various contexts in Mathematics and Science. In mathematics, a constant of proportionality is a number that relates two quantities that are proportional to each other. If one quantity is always the product of the other quantity and a constant, this constant is called the constant of proportionality.
For example, if you have an equation y = (1/3)x, then the constant of proportionality between x and y is 1/3. This means for every unit increase in x, y increases by 1/3 of that unit. It can also appear in a science context, such as in Ohm's Law, where V = IR, and 'R' can be considered the constant of proportionality that relates voltage (V) and current (I), or in the specific heat equation, where the specific heat serves as the constant.
Find the value of 5 ∙ 23.
Final answer:
To solve the expression 5 ∙ 23, we multiply 5 by 23, which gives us the answer 115.
Explanation:
The student has asked to find the value of 5 multiplied by 23. In mathematics, when we see an expression like 5 ∙ 23 without any parentheses, it simply means we need to multiply the number 5 by 23 to get the answer. Let's perform this calculation step by step:
First, we write down the number we need to multiply, which is 5.
Next, we write down the number by which we are multiplying, which is 23.
Now we multiply these two numbers: 5 * 23 = 115.
The answer to the expression 5 ∙ 23 is 115.
The value of [tex]\(5 \cdot 2^3\)[/tex] is 40.
To find [tex]\(5 \cdot 2^3\)[/tex], adhere to the order of operations. The expression involves exponentiation before multiplication.
First, compute the exponent: [tex]\(2^3\)[/tex] equals [tex]\(2 \times 2 \times 2\)[/tex], resulting in 8.
Then, multiply this value by 5, yielding [tex]\(5 \times 8\)[/tex], which simplifies to 40.
The process follows the principles of the order of operations (PEMDAS/BODMAS), ensuring accurate computation.
Thus, [tex]\(5 \cdot 2^3\)[/tex] equals 40.
Complete Question:
Which is a greater measurement one mile or one kilometer
bonnie has just received an order for a square frame that has 102 tiles along each side.how many tikes will she need to make this frame? Explain how you got your awnswer
a balloon factory tests 4 different materials for a new balloon. they will do the same number of tests on each material. the manager says that they need to do an odd number of total tests. how can they do this
what is the simplest form of 6/8
a fruit-packing warehouse is shipping 15 boxes of grapefruit to a store in Santa Rosa California what is the shipping
simplify 4(x+2) distributive property
If a huddle of 72 Penguins break apart how many different ways can the penguin form equal groups
how u can use repeated reasoning to find multiplication facts
Repeated reasoning is a strategy used in mathematics to find multiplication facts by recognizing patterns and making generalizations. It involves using known facts to find other facts and making connections between different problems.
Explanation:Repeated reasoning is a strategy used in mathematics to find multiplication facts. It involves recognizing patterns and using them to make generalizations about multiplication. When using repeated reasoning, you can start with a known fact, such as 2 x 3 = 6, and then apply that knowledge to find other facts. For example, you can use the fact that 2 x 3 = 6 to find 2 x 4 by adding another group of 2, resulting in 6 + 2 = 8.
Another example of using repeated reasoning is the commutative property of multiplication. This property states that the order of the factors does not change the product. So, if you know that 3 x 4 = 12, you can use repeated reasoning to determine that 4 x 3 = 12 as well.
By using repeated reasoning, you can build upon your knowledge of multiplication facts and make connections between different problems, which helps in understanding multiplication concepts more deeply.
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Write the number name and expanded form for 503,672
How many terms does the expression w/4+12.5-7z
The expression w/4 + 12.5 - 7z comprises three terms - w/4, 12.5, and -7z, which are separate values in the expression.
Explanation:The expression you provided, w/4+12.5-7z, has three terms. In algebra, terms are the separate values in a word that are added or subtracted. Here, w/4, 12.5, and -7z are all different terms. Each term may be a number, a variable, or a combination of numbers and variables multiplied together, like -7z.
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Point A is at (3, 2.6) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbers and decimal point only, such as 5.8.
Answer:
1.2
Step-by-step explanation:
The x in each point is 3 so we can leave that alone.
Then we subtract.
2.6 - 1.4 = 1.2
The distance between the points (3, 2.6) and (3, 1.4) will be 1.2 units.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x – h)² + (y – k)²
Point A is at (3, 2.6) and point B is at (3, 1.4) on a coordinate grid.
(x, y) ⇒ (3, 2.6)
(h, k) ⇒ (3, 1.4)
Then the distance between the points (3, 2.6) and (3, 1.4) will be
D² = (3 - 3)² + (2.6 - 1.4)²
D² = 0 + 1.2²
D = 1.2 units
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Which could be the entire interval over which the function, f(x), is negative?
A.(–8, –2)
B. (–8, 0)
C.(–∞, –6)
D.(–∞, –4)
Answer: The answer is (–∞, –4) hope this helped!
Step-by-step explanation:
The equation y = 1725 - 75x represents the amount of money y (in dollars) left in your lunch account after x weeks. 20 weeks go by. FInd the domain and range of the function.
The domain of the function y = 1725 - 75x, representing money left in a lunch account, is between 0 and 20 weeks. The range is the amount of money, from $225 to $1725.
Explanation:The equation y = 1725 - 75x represents the amount of money left in a lunch account after x weeks. If we consider the function f(x) for 0 ≤ x ≤ 20. The domain of this function, which is the set of allowable values for x, is from 0 to 20, inclusive. This means that x can take on any real number value between 0 and 20. For the range, we calculate the minimum and maximum values of y using the equation, which are y when x = 0 and y when x = 20 respectively. For x = 0, y = 1725 and for x = 20, y = 1725 - 75(20) = 1725 - 1500 = 225. So the range of y is from 225 to 1725 dollars.
30 tens equals how many hundreds
The number 30 tens is equivalent to three hundred.
In the decimal system, there are ten units in a group called a "ten." Likewise, there are ten tens in a group called a "hundred."
Therefore, one hundred is equal to ten tens.
Since we know that one hundred is equal to ten tens, calculate how many hundreds are equivalent to 30 tens.
Divide 30 by 10 to find out how many groups of ten are present:
= 30 tens ÷ 10
= 3
Therefore, 30 tens are equal to 3 hundreds.
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Prime factorization of 125
Answer:
5x5x5 so the answer is 5³
Function 1: y = 4x + 5
Function 2: The line passing through the points (1, 6) and (3, 10).
Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
Eliminate
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
b
Step-by-step explanation:
What is negative 14 minus 22
If a cashier gave Jasmine $10 change back when she purchased a dress for $60.00, which equation could be used to find the amount of money Jasmine gave to the cashier?
Charlie runs at a speed of 3 yards per second. About how many miles per hour does Charlie run?
How do I translate this sentence into an equation"
Three less than one-half a number is -71"?
Mai-Li has 5 1/8 yd of material her new shirt will take 2 3/4 yd how much material will she have left after the skirt is made.
a. 2 3/4 yd
b. 3 5/8 yd
c. 2 3/8 yd
d. 3 1/8 yd
4 1/8c=____fl oz
a. 32 fl oz
b. 33 fl oz
c. 41 fl oz
d. 33 fl oz
65in=____ft
a. 65/12 ft
b. 12 ft
c. 5 5/12 ft
d. 780 ft
Sophia had 4/8 yard of string she used 1/6 of the string for a school project how many yards of string did she use for her project
a. 5/6
b. 1/3
c. 1/12
d. 2/3
7 1/13 4 15/17
a. 28
b. 35
c. 48
d. 40
8 8/9-5 1/11
a. 4
b. 5
c. 14
d. 11
5,941mm=5,941____
a. m
b. km
c. cm
d. dm
60 is 3/8 of what number
There are 30 students Mr. Robert's home room 45% of the students ride the bus. How many students ride the bus?
eight identical shirts cost a total of $152. how much does one shirt cost?
Answer:$19
Step-by-step explanation: 152 ÷ 8 = 19
So one shirt cost $19.
5 more than a number y is -2
how do you write 5 over 5 as a decimal
We can express 5/5 in decimal form as 1.0.
What is decimal?A decimal is a number that consists of a whole and a fractional part.
Given is an expression as -
5/5
We have -
5/5
To write it in decimal, we can solve it first as -
5/5 = (5 x 1)/(5 x 1) = 1
Now, we can write 1 in decimal form as -
1.0
Therefore, we can express 5/5 in decimal form as 1.0.
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What is the length of a rectangle whose width is 17 inches and whose area is 582.35 inches squared?
17/25 +3/10 as a fraction equals?
An airplane covers 94 miles in 1/6 of an hour.
The plane can cover
miles in 6 hours.