In a case whereby least common multiple of two whole numbers is 40. the ratio of the greater number to the lesser number is 5:4. the two numbers are 10 and 8.
How can this be calculated?Given as :
The least common multiple of two numbers = LCM = 40
The ratio of the greater number to lesser number = 5 : 4
let the greater number = 5 x
And The smaller number = 4x
∵ The LCM of numbers = 40
So, 5 × 4 × x = 40
Or, 20 × x = 60
x= 3
Then greater number = 5 x = 5 × 2 = 10
And The smaller number = 4 x = 4 × 2 = 8
Hence The two numbers are 10 and 8
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Find a unit vector in the direction of the given vector.
v = 9i − 6j
Given:
The given vector is:
[tex]v=9i-6j[/tex]
To find:
The unit vector in the direction of the given vector.
Solution:
If a vector is [tex]v=ai+bj[/tex], then the unit vector in the direction of the this vector is
[tex]\hat v=\dfrac{v}{|v|}[/tex]
Where, [tex]|v|=\sqrt{a^2+b^2[/tex]
We have,
[tex]v=9i-6j[/tex]
Here, [tex]a=9[/tex] and [tex]b=-6[/tex]. So,
[tex]|v|=\sqrt{9^2+(-6)^2}[/tex]
[tex]|v|=\sqrt{81+36}[/tex]
[tex]|v|=\sqrt{117}[/tex]
[tex]|v|=3\sqrt{13}[/tex]
Now, the unit vector in the direction of the given vector is:
[tex]\hat v=\dfrac{9i-6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}[/tex]
[tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex]
Therefore, the required unit vector is [tex]\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j[/tex].
pls help me with this problem
Answer:
Angle A: 90
Angle B: 48
Angle C: 42
Side length A (Hypotinuse): 23.9
SIde length B (Opposite): 17.8
Side length C (Adjacent): 16
Step-by-step explanation:
https://www.calculator.net/triangle-calculator.html?vc=42&vx=&vy=&va=90&vz=16&vb=&angleunits=d&x=0&y=0
I need help with this question ( see image). Please show workings.
Answer:
(A) 236°
Step-by-step explanation:
270° - 34° = 236°
A scientist used 786 milliliters of a liquid for an experiment. How many liters of the liquid did the scientist use for this experiment?
A. 786,000 L
B. 7.86 L
C. 0.786 L
D. 0.0786 L
Answer:
Step-by-step explanation:
Answer: C.0786
Step-by-step explanation:
HELP DUE in 10 MINS!
DC =??
Answer:
24
Step-by-step explanation:
26^2-10^2 = 576
sqrt576 = 24
22
Consider the expression below.
3x - (2y + 2)
Evaluate the expression when x = 0.02, y = 0.1, and z = 0.3.
NEED HELP ASAP HELPING A FRIEND
Answer:
Step-by-step explanation:
So it 22
Answer: 0.007
Step-by-step explanation:
pls help figure out part c, part e, and part f
John has 516.071 more points than Sam. Sam has 4092.1 points. How many points does John have? (Do not round.) *
Answer:
John has 4608.171 points
Step-by-step explanation:
4092.1 + 516.071 = 4608.171
Hope this helps
Have a nice day :)
What is the difference in a SSS Postulate (side-side-side) and SAS Postulate (Side-angle-side)? How do i know which one its going to be? Thanks!!!
Find the sum and express it in simplest form.
(-54-46) 1-24 + 76 S)
Enter the correct ansve
OOH
1
21 divided 3 +(8 - 2 divided 2)
Answer:
14
Step-by-step explanation:
Ok so look at the steps!
Step 1:
21/3=7
2/2=1
8-1=7
7+7=14
Remeber...use PEMDAS!
Paranthesis
Exponets
Multiplication
Divison
Add
Subtract
Hope this helps ya!
The value of the expression 21 ÷ 3 + (8 - 2 ÷ 2) is 14.
To simplify the expression 21 ÷ 3 + (8 - 2 ÷ 2).
we need to follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication/Division, and Addition/Subtraction.
The expression inside the parentheses should be solved first.
8 - 2 ÷ 2.
First, divide 2 by 2, which equals 1.
Then, subtract 1 from 8: 8 - 1 = 7.
Now, we have 21 ÷ 3 + 7.
Divide 21 by 3, which equals 7.
Finally, add 7 + 7, which equals 14.
Therefore, the simplified expression 21 ÷ 3 + (8 - 2 ÷ 2) equals 14.
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The population of bacteria doubles every 6 hours. By how much will it grow in three days. Write the equation
Answer:
Step-by-step explanation:
let x be the population
so we have ,
2x= 6h
?= 3 days or 3×24h
by cross multiplication we have
2x× 72h= 6h×?
?= 2x×72/6 = 24x
So, in three days the bacteria will b 24 times current population.
Can someone please help me?
Answer:
scalene
Step-by-step explanation:
When point A(-4,2) ir rotated 90 degrees
counterclockwise, where is the image of
A?
(-2,-4)
(-4,-2)
Answer:
(-2, -4)
Step-by-step explanation:
Given the coordinate (x, y), if rotated 90degrees, counterclockwise, the resulting coordinate will be (-y, x)
For the coordinate (-4, 2)
When rotated 0 degrees counterclockwise, the resulting coordinate will be at (-2, -4)
Note that the coordinates were switched and the x negated
Can someone please help me with math.
Help plsssssss:)))))))
Answer:
x = -14
Steps:
Rewrite the equation as -8 = 6+x
Then move all terms not containing x to the right side of the equation.
x = -8-6
Afterwords subtrack.
x = -14.
hope this helps :)
A rectangular prism has a volume of 729 ft3. The length width and height are all the same. What is the is the length of each side of the prism?
Answer:
9 ft
Step-by-step explanation:
As length, width and height are same, then it is a square prism / cube
Volume of prism = 729 ft³
side³ = 729
side³ = 9³
Side = 9 ft
PLZS HELP NEED BY TODAY!!
Answer:
20°
Step-by-step explanation:
ok so if 40 degrees is on one side its also on the side parallel from it
a straight line = 180 degrees
so 180 - 40 = 140
so 7x =140
we now divide 7 on both sides and get x=20 because the 7 cancels out
180 -40 =140
7x = 140
7x/7 =140/7
x=20
Hope I helped?
Laney bought a cup of coffee and two cookies at her local coffee shop. The coffee cost $1.89. She got $1.23 back as change from the $5.00 bill she gave the cashier. How much did each cookie cost?
Answer: each cookie was $0.94
Step-by-step explanation:
5.00 - 1.89 = 3.11
3.11 - 1.23 = 1.88
1.88 divided by 2 = 0.94
Each side of a circumscribed equilateral triangle is 16 meters. find the radius if the circle
A 30 pack of Flaming Hot Cheetos cost $10.82 at
Costco. A 50 pack of Flaming Hot Cheetos cost
$17.25.
a) Which is the better buy? (You are trying to
compare the cost of a 30 pack and 50 pack of
chips. This is not possible without finding
the unit rate.)
b) What is the difference between the unit
prices? (You need to use the information
from part a to answer this question.)
Answer:
50 pack
[tex]\$0.01[/tex]
Step-by-step explanation:
Number of packs at Costco = 30
Cost of 30 packs at Costco = $10.82
Number of packs at the other place = 50
Cost of 50 packs = $17.25
Cost of one pack when 30 packs are bought
[tex]\dfrac{10.82}{30}=\$0.36[/tex]
Cost of one pack when 50 packs are bought
[tex]\dfrac{17.25}{50}=\$0.35[/tex]
It is better to buy the 50 pack.
Difference in the unit prices = [tex]0.36-0.35=\$0.01[/tex].
Find the derivative of
y= 1/(3x^3)
Answer:
[tex]\displaystyle y' = \frac{-1}{x^4}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \frac{1}{3x^3}[/tex]
Step 2: Differentiate
Rewrite: [tex]\displaystyle y = \frac{x^{-3}}{3}[/tex]Derivative Property [Multiplied Constant]: [tex]\displaystyle y' = \frac{1}{3} \frac{d}{dx}[x^{-3}][/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}(-3x^{-4})[/tex]Simplify: [tex]\displaystyle y' = \frac{-1}{x^4}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
On number line below, length AB =? A16 B45
Answer:29
Step-by-step explanation:
d[AB]=|45-16|=29
A number line is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
The length AB is 29.
AB = 29 is our answer.
What is a number line?It is the representation of numbers in real order.
The difference between the consecutive numbers in a number line is always positive.
We have,
A is at point 16.
B is at point 45.
Now,
The distance between A and B.
= B - A
= 45 - 16
= 29
Thus,
The length AB is 29.
AB = 29 is our answer.
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answer pls for point
Answer:
x= 4 , y= 1
Step-by-step explanation:
confirm the answer was correct
with the radius of 2 Find the volume of the sphere. Round your answer to the nearest tenth. Use 3.14 for it. The volume of the sphere is about in?
Answer:
Solution given:
radius[r]=2in
π=3.14
we have
volume of sphere=[tex] \frac{4}{3} \pi {r}^{3} [/tex]=[tex] \frac{4}{3} ×3.14× {2}^{3} [/tex]=33.5in³is your answer.
Let's see
V=4/3πr³V=4/3π(2)³V=4/3π(8)V=32π/333.5in³pls answer correctly c:
I need this done, please
Yalll listen i was at a party with friends in the ghetto and the ice crean truck came and they had the hot cheetos with cheese and chill poured on it ....it was bussin bussin
Answer:
wowo cool
Step-by-step explanation:
Answer:
sounds cheeesyyy
Step-by-step explanation:
Help will give brainly
Answer:
b
Step-by-step explanation:
Answer:
Hi! The answer to your question is B. 30 Trees
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
what is the range of the following relation?