6 has a factor of 2 and 3
4 has a factor of 2
10 has a factor of 2 and 5
The LCM = 60
Answer:
60
Step-by-step explanation:
The LCM is the lowest common multiple, this means the smallest number that 6, 4 and 10 can go into without giving a decimal number, so they give an integer.
Here's a trick, use prime factorizationPrime factorization means, write a number as the result of the multiplication of prime numbers prime numbers are numbers with only two factors, 1 and itselfSo the prime factorization of 6, 4 and 10 is6 = 2 x 3 4 = 2 x 210 = 2 x 5For each prime factor, find where it occurs most often as a factor and write it that many times in a new list. So 2 occurs most often as a factor of 4, so we use two 2s3 occurs most often as a factor of 6, so we use one 35 occurs most often as a factor of 10, so we use one 5Then multiply this new list of numbers 2 x 2 x 3 x 5 = 60 that's how you quickly get the LCMThe length, width, and height of a rectangular prism can be represented by the expression (x + 3), (x + 7) and (x - 1). write an expression to represent the surface area of the prism
Answer:
A=2wl+2lh+2hw
A=2(x+7)(x+3)+2(x+3)(x-1)+2(x-1)(x+7)
A=2(x^2+7x+3x+21)+2(x^2-x+3x-3)+2(x^2+7x-x-7)
A=2(x^2+10x+21)+2(x^2-2x-3)+2(x^2+6x-7)
Answer:
6x²+36x+22
Step-by-step explanation:
Surface Area = 2(wl + hl + wh)
Length = (x+3)
Width = (x+7)
Height = (x-1)
Surface Area = 2((x+7)(x+3) + (x-1)(x+3) + (x+7)(x-1))
Then simplify
2((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))
=(2)((x+7)(x+3)+(x−1)(x+3)+(x+7)(x−1))
=(2)((x+7)(x+3))+(2)((x−1)(x+3))+(2)((x+7)(x−1))
=2x²+20x+42+2x²+4x−6+2x²+12x−14
=6x²+36x+22
A point on a graph is located at (0, -9). Which statement is true?
A -9 is the y-intercept.
B -9 is the x-intercept.
C 0 is the x-intercept.
D 0 is the y-intercept.
Answer:
A -9 is the y-intercept
Step-by-step explanation:
ANSWER :- OPTION A -9 IS THE Y-INTERCEPT
The closing amount of the Dow Jones Industrial Average on the stock market for four days is shown in the table below.
Date
Closing amount (in points)
01/27
13,895.98
01/28
13,881.93
01/29
13,954.4
01/30
13,860.42
Which best represents the greatest amount of change that took place from one day to the next day over the four-day period?
a loss of 93.98 points
a loss of 72.47 points
a gain of 72.47 points
a gain of 93.98 points
Answer:
The first option
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
According to the synthetic division below, which of the following statements
are true?
Check all that apply.
The question is not complete, so i have attached it.
Answer:
Options A, B & E are correct
Step-by-step explanation:
In the synthetic division attached, we see that:
: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12
: The divisor is 3
Thus;
x = 3 is a root of f(x) = 2x² - 2x - 12
Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12
- Now, from the attached image, the coefficients of the quotient are 2 , 4
- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)
The degree of the dividend will be 2 since it contains x²
Thus, the degree of the quotient will be 1
Therefore, the quotient in factor form is (2x + 4)
Looking at the given statements in the options;
- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12
- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12
- Option C is not true because the factor is (x + 3) and not (x - 3)
-Option D is not true because the root is 3 and not -3
- Option E is true because we have established that quotient as a factor is: (2x + 4)
Thus, the correct options are A , B , E
Solve the equation by factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)
help
state the multiplicity for each root
[tex]3(x^{2} + 5)^ {2} ( {x}^{2} - 25)^{3} (x - 8)^{4} = 0[/tex]
state the multiplicity for each root
Answers:
The two complex or imaginary roots [tex]x = i\sqrt{5}[/tex] and [tex]x = -i\sqrt{5}[/tex] have multiplicity 2.The two real roots x = 5 and x = -5 have multiplicity 3The root x = 8 has multiplicity 4======================================================
Explanation:
We'll use the zero product property to solve.
[tex]3(x^2+5)^2(x^2-25)^3(x-8)^4 = 0\\\\(x^2+5)^2=0 \text{ or } (x^2-25)^3=0 \text{ or } (x-8)^4 = 0\\\\x^2+5=0 \text{ or } x^2-25=0 \text{ or } x-8 = 0\\\\x^2=-5 \text{ or } x^2=25 \text{ or } x = 8\\\\x=\pm\sqrt{-5} \text{ or } x=\pm\sqrt{25} \text{ or } x = 8\\\\x=\pm i\sqrt{5} \text{ or } x=\pm 5 \text{ or } x = 8\\\\[/tex]
where [tex]i = \sqrt{-1}[/tex]
----------------------
The notation [tex]x=\pm i\sqrt{5}[/tex] breaks up into [tex]x=i\sqrt{5} \text{ or } x=-i\sqrt{5}[/tex]. The multiplicity of these two roots is 2 as it's the exponent of the factor [tex](x^2+5)^2[/tex]. Focus on the outermost exponent.
The notation [tex]x = \pm 5[/tex] becomes [tex]x = 5 \text{ or } x = -5[/tex]. The multiplicity of these two roots is 3 since it's the outermost exponent of the factor [tex](x^2-25)^3[/tex]
And finally, the multiplicity of the root x = 8 is 4 because it is the outermost exponent of the factor [tex](x-8)^4[/tex]
What is the distance between the points (8,-4) and (-5, -4)
Answer: 13
Step-by-step explanation:
A carnival charges $8 to enter and $3 per ride. Fill in the table of values for the total cost for a person to enter and go on 0 to 5 rides
Answer:
Look at the picture
Step-by-step explanation:
For 0 rise it would just be eight dollars
9x - 4 = 5x - 4 + 4x
Answer:
X = 1
Step-by-step explanation:
HOPE THIS HELPS
am i answering the same question over and over again?
whatever
PLZ MARK BRAINLIEST
what is the correct answer?
Answer:
Step-by-step explanation:
124 I think
War Eagle spied 1428 antelope and wildebeests grazing on the savannah. If the ratio of antelope to wildebeests was 9 to 5, how many antelope were there? (Answer is 918 but idk how to solve it.....)
Answer:
9:5 = 1428:x
ratios can also be written as fractions, so
9/5 = 1428/x
solve for x
9/5 × x = 1428
x = 1428 / (9/5)
x = 918
Someone please help me, please
Please help meh parents are yelling at me :(
Jasper is using the following data samples to make a claim about the house values in his neighborhood:
House Value
A $150,000
B $175,000
C $200,000
D $167,000
E $2,500,000
Based on the data, should Jasper use the mean or the median to make an inference about the house values in his neighborhood? (10 points)
Group of answer choices
He should use the mean because it is in the center of the data.
He should use the median because it is in the center of the data.
He should use the median because there is an outlier that affects the mean.
He should use the mean because there are no outliers that affect the mean.
Answer:
d:$167,00
Step-by-step explanation:
Mari and Rob are making a poster for the science fair. They need to figure out how much a rock that weighs 7 pounds on Earth would weigh on Mars. They know that they can multiply the amount the rock weighs on Earth by 0.38 to find its weight on Mars. Circle the partial products Mari and Rob would need to add to find the product of 7 and 0.38. Mark all that apply. Which problems will have two decimal places in the product? Mark all that apply.
Answer: a big rock
Step-by-step explanation: i am just dumb and lazy
TNMILLER this for youuuuuuu!
Answer:
??
Step-by-step explanation:
i am so confused... love ur pfp tho
Answer:
:D
Step-by-step explanation:
thank
rewrite 4^-3 using a positive exponent an evaluate the result.
Answer: 1/4³
Step-by-step explanation:
When finding the negative exponent of a number, you turn it into a fraction, with the numerator being 1, and the denominator being the base of the exponent, and the exponent being positive.
Examples:
2^-2 = 1/2²
3^-3 = 1/3³
4^-4 = 1/4⁴
The regular price of a video game is $50. The game is on sale for 20% off the regular price.
Find the sale price of the game.
Find the total price, with a sales tax rate of 8%. (*Hint: Sales tax is an additional amount paid.)
HELP PLEASE!!!
Answer:
Sale Price:
50x-20%=10
50-10= 40
Total Price:
40x-8%=3.20
40+3.20= 43.20
Step-by-step explanation: If you encounter more problems like this, use the x and - method! Its easier to understand and a shorter method :)
please help me pls and ty
Which point is on the graph of f(x)= 5^x
A. (1, 5)
B. (0, 0)
C. (5, 1)
D. (0, 5)
Answer:
B
beacuse f and x are f -5 and x 5
pic2 Readiness Assessment
00:00
Which two ratios are equivalent to 10 - 12?
A 11:13 and 20:24
o
B. 10:12 and 11 : 13
C. 5:6 and 20:24
D. 5:6 and 11 : 13
how do I answer this please help homework due tomorrow x
Answer:
63.6 m^2
Step-by-step explanation:
A = (pi)r^2
r = d/2 = 9 m / 2 = 4.5 m
A = (3.142)(4.5 m)^2
A = 63.6 m^2
a bolt has 6 1/2 turns per inch how many turns would be in 2 1/2 inches of threads
Answer:
famwfklawf'ajnkpfjnflasjfajlkfjlk/ajkljkljklasjkfjkajkjkfajkfjkj/fj/fsklafnwklasj'fawJFAKLfajfl;ajfafjafafafafaf
Step-by-step explanation:
The length of the day in Lagos, Nigeria (in minutes), ttt days since the beginning of the year can be estimated by this formula: \qquad L(t) = 727+22\sin \left(\dfrac{2\pi (t - 80.75)}{365}\right)L(t)=727+22sin( 365 2π(t−80.75) )L, left parenthesis, t, right parenthesis, equals, 727, plus, 22, sine, left parenthesis, start fraction, 2, pi, left parenthesis, t, minus, 80, point, 75, right parenthesis, divided by, 365, end fraction, right parenthesis. When is the longest day of the year? Give an exact answer.
Answer:
The longest day of the year is day 172
Step-by-step explanation:
Since the length of day is L(t)=727+22sin[2π(t−80.75)/365], the maximum length of day is obtained when sin[2π(t−80.75)/365] is at its maximum value which is 1. So. sin[2π(t−80.75)/365] = 1
We now solve this to find the day at which this maximum value occurs.
sin[2π(t−80.75)/365] = 1
[2π(t−80.75)/365] = sin⁻¹(1)
[2π(t−80.75)/365] = π/2
dividing both sides by 2π/365, we have
[2π(t−80.75)/365] ÷ 2π/365 = π/2 ÷ 2π/365
t−80.75 = 365/4
t−80.75 = 91.25
t = 91.25 + 80.75
t = 172
The longest day of the year is day 172
Answer:
172
Step-by-step explanation:
Keep in mind, that when graphed one of the "tallest" points is 172,749. Using this, you'll find that 172 is the tallest
Answer my math question I asked so many times I lost most of points help by
y-intercept: (0, 1)
Line of symmetry calculation: x = -b/2a = -(-2)/2(2) = 0.5
Line of symmetry: x = 0.5
Open UP or DOWN: Opens UP
Min or Max: Min
Vertex: (0.5, 0.5)
Domain: {x|x ∈ ℝ}
Range: {y|y ≥ 1/2}
slope is 2 and (−1, 6) is on the line; point-slope form
Answer:
y-6=2(x-(-1))
Or simplified:
y-6=2(x+1)
Step-by-step explanation:
use the formula: y-y1=m(x-x1)
A consumer organization estimates that over a 1-year period 18% of cars will need to be repaired once, 7% will need repairs twice, and 3% will require three or more repairs. If you own two cars, what is the probability that a) neither will need repair? b) both will need repair? c) at least one car will need repair?
Answer:
(a) 0.5184
(b) 0.0784
(c) 0.4816
Step-by-step explanation:
According to the given estimation over a 1-year period, 18% of cars will need to be repaired once, 7% will need repairs twice, and 3% will require three or more repairs.
So, the probability that a car need repair once = 18/100=0.18 ...(i)
The probability that a car needs repair twice = 7/100=0.07 ...(ii)
The probability that a car needs repair thrice or more = 3/100=0.03 ...(iii)
From equations (i), (ii), and (iii), the probability that a car needs repair = (0.18+0.07+0.03) = 0.28 ...(iv)
The probability that a car doesn't needs repair = 1-(0.18+0.07+0.03)= 1-0.28=0.72 ....(v)
Given that I own two cars, denoting the cars by A and B.
(a) The probability that neither will need repair=(Probability that car A doesn't need repair) and (Probability that car B doesn't need repair)
=0.72 x 0.72 [ from equation (v)]
=0.5184
(b) The probability that both will need repair = (Probability that car A needs repair) and (Probability that car B needs repair)
=0.28 x 0.28 [ from equation (iv)]
=0.0784
(c) The probability that at least one car will need repair= 1 - (The probability that neither will need repair)
=1-0.5184 [ by using part (a)]
=0.4816
A 2 1/2 pound bag of grass seed covers 1/8 of an acre.How much grass seed is needed for 1 acre
Answer: 8 times more 8*2 1/2 = 20 pounds.
Step-by-step explanation: If 2.5 pounds cover 1/8 then simply multiply the 2.5 by 8, since you'll need 8/8. 8/8=1.
I hope this helps :)
What is the solution to the equation shown below? (2/3)x + 5 = 1
Answer:
The solution is x = −6.
Step-by-step explanation:
Tell whether the rates form a proportion.
32 notes in 4 measures; 12 notes in 2 measures
yes
or
no
Answer: no
Step-by-step explanation: the answer is no
Wow...I forgot how to do this please help
Answer:
B. y = -6x+7
Step-by-step explanation:
change in x is positive 6 change in y is negative 1
6/-1 is the slope
-6 is the slope