Answer:
The correct option is C.
Step-by-step explanation:
The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.
The given terms are [tex]n^3t^2[/tex] and [tex]nt^4[/tex].
The factored form of each term is
[tex]n^3t^2=n\times n\times n\times t\times t[/tex]
[tex]nt^4=n\times t\times t\times t\times t[/tex]
To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.
[tex]LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t[/tex]
[tex]LCM(n^3t^2,nt^4)=n^3t^4[/tex]
The LCM of given terms is [tex]n^3t^4[/tex]. Therefore the correct option is C.
Answer: C) n 3t^4
Step-by-step explanation:
Definition : The least common multiple (LCM) of any two expressions is the smallest expression that is divisible by both expressions.
Given expressions : [tex]n^3 t^2 \text{ and } nt^4[/tex]
Factorization form of [tex]n^3 t^2 \text{ and } nt^4[/tex] will be :
[tex]n^3 t^2 =n\times n\times n\times t\times t[/tex]
tex]nt^4 =n \times t\times t\times t\times t[/tex]
The least common multiple of [tex]n^3 t^2 \text{ and } nt^4[/tex] :
[tex]n^3 t^2 =n\times n\times n\times t\times t\times t\times t=n^3t^4[/tex]
Hence, the LCM of [tex]n^3 t^2 \text{ and } nt^4=n^3t^4[/tex]
Thus , the correct answer is option C).
Me. Simpson drove 105 miles in 2 1/2 hour what was mr. Simpson speed in miles per hour
divide total miles driven by time:
105 miles / 2.5 hours = 42 miles per hour
An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.
a. How much has the angelfish grown?
b. An inch is 1/12 of a foot. How much has the angelfish grown in feet?
40 points!
The angelfish has grown by 5/6 inches, which is equivalent to 5/72 feet when converted.
The question asks how much an angelfish has grown both in inches and in feet.
Part A: Growth in Inches
The angelfish was originally 1 1/2 inches long and grew to 2 1/3 inches. To calculate the growth, subtract the original length from the current length:
2 1/3 inches (current length) - 1 1/2 inches (original length) = 7/3 inches - 3/2 inches
To subtract, convert to a common denominator (6 in this case): 7/3 becomes 14/6 and 3/2 becomes 9/6,
14/6 - 9/6 = 5/6 inches
So the angelfish has grown by 5/6 inches.
Part B: Growth in Feet
Since 1 inch is 1/12 of a foot, to calculate the growth in feet, multiply the growth in inches by the conversion factor:
5/6 inches * (1 foot/12 inches) = (5/6) * (1/12)
Multiplying these fractions, we get 5/72 feet, which is the growth in feet.
How many times greater is 1 kilogram than 1 microgram?
JoeBucannon's answer is in fact false, you cant really do that formula to find the answer, check it through a conversion calulator and you will find that 1.000000e+9µg is your answer.
(I really also dont wanna waste your time so 1.000000e+9µg = 10^9)
The length of a rectangle is 6 1/2 inches and the width is 3 3/4 inches. What is the ratio, using whole numbers, of the length to the width?
The ratio, using whole numbers of the length to the width is [tex]\frac{26}{15}[/tex]
Given the following data:
Length of a rectangle = [tex]6\frac{1}{2}[/tex] inches.Width of a rectangle = [tex]3\frac{3}{4}[/tex] inches.To calculate the ratio, using whole numbers of the length to the width:
What is ratio?Ratio can be defined as a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another.
How to calculate the ratio.First of all, we would convert the mixed fraction to a proper fraction as follows:
For the length:
[tex]6\frac{1}{2}=\frac{13}{2}[/tex]
For the width:
[tex]3\frac{3}{4}=\frac{15}{4}[/tex]
Now, we can calculate the ratio, using whole numbers of the length to the width:
[tex]Ratio = \frac{length}{width} \\\\Ratio = \frac{\frac{13}{2} }{\frac{15}{4} } \\\\Ratio = \frac{13}{2} \times \frac{4}{15} \\\\Ratio =\frac{26}{15}[/tex]
Read more on ratio here: https://brainly.com/question/13513438
Brittany is selling car magnets. She purchased a them for $7.50 each and marks up the price by 30%. How much is Brittany planning to charge
A function is created to represent the miles per gallon your car gets. What restrictions would be made to the domain ?
A. The domain were only include integers.
B. The domain will only include positive integers.
C. The domain would include all real numbers.
D. The domain would only include positive numbers.
Option: D is the correct answer.
D. The domain would only include positive numbers.
Step-by-step explanation:Domain of a function--
It is the set of all the x-values or the values of the independent values for which the function is defined.
Here the function is used to represent the miles per gallon your car gets.
i.e. the independent variable is the number of gallons the car gets.
and the dependent variables is the number of miles covered by the car.
As the number of gallons of the car can't be negative or zero , it could be any positive number.
Hence, the domain would include any positive number.
Which is the best estimate of 54 times 68
If P(A) = 0.5, P(B) = 0.3, and P(A or B) = 0.6, find P(A and B)
Express each ratio as a fraction in simplest form:
0.3 km to 500 m
Answer: 3/5
Step-by-step explanation:
The ratio shows how many times a number is contained in another. To express the ratio as a fraction in its lowest term, we convert 0.3km to metre.
1000 metre makes 1 kilometers. Therefore,
0.3km = 0.3 × 1000 = 300 metre
0.3 km to 500m= 300m to 500m
300m : 500m = 300/500
Reducing to its lowest term, 100 is a common factor.
300/500 = (100×3) / (100×5)
= 3/5.
The phone company charges 10 cents to connect a call for one minute, and 8 cents per minute after that. How long could you talk on the phone for $1?
what integer divided by six, less eighteen, is negative twenty-two?
ratio 5 to 15 in a fraction lowest term
What is the product 5/10.10/3
find the complex roots of x^3+1=0
[tex]\text{Use:}\ a^3-b^3=(a+b)(a^2-ab+b^2)[/tex]
[tex] x^3+1=0\\\\x^3+1^3=0\\\\(x+1)(x^2-(x)(1)+1^2)=0\\\\(x+1)(x^2-x+1)=0\iff x+1=0\ \vee\ x^2-x+1=0\\\\x+1=0\to x=-1\in\mathbb{R}-real\ solution\\\\x^2-x+1=0\\\\x^2-2\cdot x\cdot0.5+1=0\\\\\underbrace{x^2-2\cdot x\cdot0.5+0.5^2}_{(a-b)=a^2-2ab+b^2}-0.5^2+1=0\\\\(x-0.5)^2-0.25+1=0\\\\(x-0.5)^2+0.75=0\ \ \ |-0.75\\\\(x-0.5)^2=-0.75\iff x-0.5=\pm\sqrt{-0.75}\ \ \ |+0.5\\\\x=0.5-i\sqrt{0.75}\ \vee\ x=0.5+i\sqrt{0.75}\\\\x=\dfrac{1}{2}-i\sqrt{\dfrac{3}{4}}\ \vee\ x=\dfrac{1}{2}+i\sqrt{\dfrac{3}{4}} [/tex]
[tex]\boxed{x=\dfrac{1-i\sqrt3}{2}\ \vee\ x=\dfrac{1+i\sqrt3}{2}}[/tex]
[tex]\text{in standard form:}\ \boxed{x=\dfrac{1}{2}-\dfrac{\sqrt3}{2}i\ \vee\ x=\dfrac{1}{2}+\dfrac{\sqrt3}{2}i}[/tex]
Multiply. 5⋅2/3 Enter your answer as an improper fraction, in simplified form, in the box
Answer:
[tex]\frac{10}{3}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]5.\frac{2}{3}[/tex]
We have to multiply and find answer in improper fraction in simplified form
In order to find the answer we will multiply nominator by nominator denominator remain same.
[tex]5\cdot \frac{2}{3}=\frac{10}{3}[/tex]
It is improper fraction and simplified from .
Answer:[tex]\frac{10}{3}[/tex]
How would you use the Associative Property of Multiplication to compute 4x25x27 mentally.
4a+15 whats the answer
candy buys 20 ounces of mixed nuts .she puts an equal number of ounces in each of 3 bags .how many ounces of nuts will be in each bag?write the answer as a whole number and a fraction.
Answer:
[tex]6\frac{2}{3}[/tex]
Step-by-step explanation:
Candy buys 20 ounces of mixed nuts.
She puts an equal number of ounces in each 3 bags.
In each bag she can put = [tex]\frac{20}{3}[/tex]
= [tex]6\frac{2}{3}[/tex]
She can put [tex]6\frac{2}{3}[/tex] ounces of nuts in each bag.
A line passes through the point (-6, 6) and (-6, 2). In two or more complete sentences, explain why it is not possible to write the equation of the given line in the traditional version of the point-slope form of a line
Jumlah panjang dan lebar suatu persegi panjang adalah 32cm. Sedangkan luasnya adalah 240cm. Tentukan (a) panjang dan lebarnya (b) kelilingnya dan (c) panjang diagonal persegi panjang
P and L : 12 and 20 cm
Perimeter : 64 cm
Diagonal = 4√34
Further explanationThe playground is a rectangular shape. There are several properties possessed by rectangular shapes, namely:
• 1. each angle is equal and is a right angle
• 2. the diagonals intersect and divide each other equally
• 3. sides facing the same length
There are two rectangular shapes namely square and rectangle
Square if all sides are the same length
The formula used in rectangular is:
• 1.Area
Rectangle
[tex]\large{\boxed{\bold{Area=w\:\times\:l}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{area=a^2}}}[/tex]
a = length of side
• 2. perimeter
Rectangle
[tex]\large{\boxed{\bold{perimeter=2\times(w+l)}}}[/tex]
w = width
l = length
Square
[tex]\large{\boxed{\bold{perimeter=4\times\:a}}}[/tex]
a = length of side
P+L = 32 cm
Area = 240 cm²
Then
P = 32-L
Area = (32-L) x L
Area =32L-L²
240 = 32L-L²
-L²+32L-240=0
L²-32L+240 = 0
(L-12)(L-20)=0
L = 12 or L = 20
Then =P= 20 or 12
B)Perimeter= 2 x (P +L) = 2 x (12+20) = 64 cm
C) Diagonal
Phytagoras :
[tex]\rm diagonal=\sqrt{20^2+12^2}\\\\diagonal=\sqrt{400+144}\\\\diagonal=\sqrt{544}=4\sqrt{34}[/tex]
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you live 3.67 miles from your grandparents and you are biking how do you solve this
the 2 points are reflections of each other across the x-or y-axis identify the axis help me please
What is the value of x?
Enter your answer in the box.
The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?
183/3 = 61 which is the middle odd number
you would then take the odd number below 61 and the odd number above 61 to equal 183
59 +61 +63 = 183
Which of the following numbers has 5 in the ten thousands place A. 652,341. B. 562, 341. C. 462,541. D. 265,401
The formula A=1w is used to calculate the area A of a rectangle surface using the length(l) and the width (w) of the surface which formula could be used to find W in terms of A and L
What is the reciprocal of 7/12?
1. -12/7
2.-7/12
3.7/12
4.12/7
Someone told me you just have to flip the fraction so would that make this answer 12/7?
Please help I don’t understand.I need to know if it is a linear function and how to write it in standard form. :)
Find two consecutive even integers whose sum is -50. Which of the following equations could be used to solve the problem? 2x = -50 2x + 1 = -50 2x + 2 = -50 x2 + 1= -50
consecutive even integers are 2 apart
so they are x and x+2
their sum is x+x+2
the sum is -50
so x+x+2=-50 would be the equation
we can simplify it to get 2x+2=-50
the answer is the 3rd option
Jeremy has two pieces of what one is 90 inches and the other is 72 inches he want to cut the pieces of wood in the smaller pieces to the all the pieces are the same length if you wants the pieces to be as long as possible and doesn't want to have any lumber left over how long should each piece me how many total pieces of lumber will he have