Find the greatest common factor of the
following monomials:
gh5
OOHO
Clear all
10g5h4
Enter the correct answer.
?
DONE
To find the greatest common factor (GCF) between monomials, take each monomial and write it's prime factorization. Then, identify the factors common to each monomial and multiply those common factors together.
What is monomial?Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial. The degree of a monomial is the sum of the exponents of all the variables. Let us consider an expression 6xy2. The variables, the coefficient, and the degree of this monomial are shown in the table given below. Observe the table to learn the various parts of the monomial 6xy2.In algebra, a monomial is an expression that has a single term, with variables and a coefficient. For example, 2xy is a monomial since it is a single term, has two variables, and one coefficient. Monomials are the building blocks of polynomials and are called 'terms' when they are a part of larger polynomials. In other words, each term in a polynomial is a monomial.To learn more about coefficients refer to:
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please help asap
will give brainliest
Answer:
m<D should also be 98° due to the congruent angles theorem
Answer:
98
Step-by-step explanation:
Sides AB and DC are parallel.
Sides AD and BC are parallel.
Quadrilateral ABCD is a parallelogram.
Opposite angles of a parallelogram are congruent.
m<D = m<B = 98°
Answer: 98
factor each square root
0.7 times square root of 300
-0.125 times square root of 192
Answer:
To factor the first expression, "0.7 times square root of 300", we can rewrite it as:
0.7 * sqrt(300)
The prime factorization of 300 is 2 * 2 * 3 * 5 * 5, so we can rewrite the expression as:
0.7 * sqrt(2 * 2 * 3 * 5 * 5)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
0.7 * sqrt(2) * sqrt(2) * sqrt(3) * sqrt(5) * sqrt(5)
Combining like terms, we get:
0.7 * 2 * sqrt(2) * sqrt(3) * sqrt(5)
= 1.4 * sqrt(2) * sqrt(3) * sqrt(5)
This is the fully factored form of the expression "0.7 times square root of 300".
To factor the second expression, "-0.125 times square root of 192", we can rewrite it as:
-0.125 * sqrt(192)
The prime factorization of 192 is 2 * 2 * 2 * 2 * 2 * 2, so we can rewrite the expression as:
-0.125 * sqrt(2 * 2 * 2 * 2 * 2 * 2)
Since the square root of a number is the same as the square root of that number's prime factorization, we can rewrite the expression as:
-0.125 * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2) * sqrt(2)
Combining like terms, we get:
-0.125 * 6 * sqrt(2)
= -0.75 * sqrt(2)
This is the fully factored form of the expression "-0.125 times square root of 192".
Answer:
for the second one the answer is - square root of 3
Step-by-step explanation:
i could only solve the second one sorry
list this from least to greatest -$25.18,$48.12,-$24.72,$47.72,-$24.12,$25.12
The listing of the given values from the least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
What is a number line?A number line is defined as the expression that represents the location of real numbers as being a positive number or a negative number.
The negative values which are the least in the number line are usually higher in value than the greater numbers, while the greater values are higher for positive numbers.
Therefore,the arrangement of the given values from least to the greatest = -$25.18, -$24.72, -$24.12, $25.12, $47.72 and $48.12.
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What is the common denominator of y + StartFraction y minus 3 Over 3 EndFraction in the complex fraction y + StartFraction y minus 3 Over 3 EndFraction divided by five-ninths + StartFraction 2 Over 3 y EndFraction?
The common denominator of the given expression is 5y+6.
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
Given expression,
(y+(y-3)/3)/(5/9+2/3y)
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
=3y(4y-3)/5y+6
Hence the common denominator of the above expression is given by 5y+6
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Given that c:d is 4:3 and d:u is 2:9, find c:d:u.
Answer:
c : d : u = 8 : 6 : 27
Step-by-step explanation:
Given c:d = 4:3 and d:u = 2:9, you want c:d:u.
Ratio unitsTo write the desired ratio, we need to convert the others so they have the same number of ratio units representing 'd'. That number can be the least common multiple of 3 and 2, which is 6. Knowing this, we can write ...
c:d = 4:3 = 8:6
d:u = 2:9 = 6:27
Then the desired ratio is ...
c:d:u = 8:6:27
[-12] + [4] find the absolute value of each integer then add them
Hello there!
Answer:
16
Step-by-step explanation:
[tex] |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0[/tex]
-12 < 0 so |-12| = -(-12) = 12
4 > 0 so |4| = 4
|-12| + |4| = 12 + 4 = 16
Answer:
16
Step-by-step explanation:
Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].
This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.
The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.
Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation
12+4=16
Thus, the answer is 16.
Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!
State the domain and range of the following function.
Answer:
Step-by-step explanation:
ur STUP1d
3 Dylan needs to buy new contact lenses. His ophthalmologist sells 8-lens boxes in
packs of 2 for $52 and 10-lens boxes in packs of 4 for $120. Which option is the
better deal?
Answer:
Dylan should purchase the 10-lens boxes in packs of 4 for $120, as this is the better deal. This option provides 40 lenses for $120, which works out to be $3 per lens. The 8-lens boxes in packs of 2 for $52 only provides 16 lenses for $52, which works out to be $3.25 per lens Therefore, the 10-lens boxes in packs of 4 is the better deal.
Step-by-step explanation:
Answer:
he should buy the 10-lens boxes in packs of 4 for $120
Step-by-step explanation:
Given it was not a strike, what is the probability it was a knuckle
ball? Enter the answer as a percent (%)to the nearest tenth.
On solving the provided question, we can say that - here in the percentage obtained = 500 => so, 500/1000X100 = 50%
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
here,
total is = 1000
obtained = 500
so, 500/1000X100 = 50%
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Tell whether the angles are adjacent or vertical. Then find the value of x.
draw and divide a rectangle to show each product use a distributive property to find the product 5×14
The product of 5 and 14 using the distributive property is 70.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
For three numbers a, b and c, Distributive property states that,
a (b + c) = a b + a c
We have to find the product 5 × 14 using distributive property.
5 × 14 = 5 (12 + 2)
Using distributive property,
5 × 14 = (5 × 12) + (5 × 2)
= 60 + 10
= 70
Hence using distributive property, we can find the product of 5 and 14 as 70.
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Dan is training his puppy, Lola, to sit. Dan holds a treat 5 feet above the ground until Lola
sits. As soon as she does, he drops the treat, and Lola catches it in her mouth 1.5 feet above
the ground.
To the nearest tenth of a second, how long does the treat fall before Lola catches it?
Hint: Use the formula h = -16t² + s.
Answer:
t = 0.5 seconds
Step-by-step explanation:
Given formula:
[tex]h=-16t^2+s[/tex]
where:
h = height above the ground (in feet)t = time after dropping the treat (in seconds)Dan drops the treat 5 feet above the ground.
Therefore, when t = 0, h = 5 ft.
To find the value of s, substitute these values into the given formula:
[tex]\implies -16(0)^2+s=5[/tex]
[tex]\implies s=5[/tex]
Therefore:
[tex]h=-16t^2+5[/tex]
To calculate how long the treat falls before Lola catches it, substitute h = 1.5 into the formula:
[tex]\implies -16t^2+5=1.5[/tex]
[tex]\implies -16t^2=-3.5[/tex]
[tex]\implies t^2=0.21875[/tex]
[tex]\implies t=\sqrt{0.21875}[/tex]
[tex]\implies t=\pm0.467707173...[/tex]
[tex]\implies t=\pm0.5\; \; \sf (nearest\;tenth)[/tex]
As time is positive, t = 0.5 seconds (nearest tenth) only.
Therefore, it took 0.5 seconds for Lola to catch the treat after it fell.
What is the greatest common factor of 3x
Answer:
It is not possible to find the greatest common factor of 3x.
Step-by-step explanation:
The greatest common factor (GCF) of a set of numbers is the largest number that divides into all of the numbers in the set.
In this case, you have provided a variable, 3x, and not a set of numbers. Therefore, it is not possible to find the greatest common factor of 3x.
If you have a set of numbers that you would like to find the greatest common factor of, please let me know and I will be happy to help.
Combine the like terms to create an equivalent expression.
4r + 14 - r - 6 =
[tex]4r + 14 - r - 6[/tex]
Combine Like Terms:
[tex](4r-r)+(14-6)[/tex]
[tex]=\fbox{3r + 8}[/tex]
Is the set of rational expressions closed under division
Answer:
Step-by-step
Closure property is true for division except for zero.
A rope 15 inches long has been divided into the greatest possible number of pieces in such a way that each piece has a different length, and each of these lengths in inches is expressed by a whole number. How many cuts were made?
A.3
B.4
C.5
D.6
E.7
Answer:
Below
Step-by-step explanation:
1+2+3+4+5 =15 5 lengths will require 4 cuts
Graph the linear equation.
4x+6y=−12
Plot two points on the line to graph the line.
Answer: (-3,0) and (0,-2)
Step-by-step explanation:
Solve each equation for both variables help please 15 points
Answer:
x = 12 and y = 11
Step-by-step explanation:
4x+3y=-15 -----equation 1st
4x-y = -27 ____equation 2nd
then,
Multiple equation second by 3 and slove it with equation first
4X +3Y = -15
12X -3Y = -81 (Multiples it with 3)
-8x = -96 (subtracted)
x=-96/-8
therefore, x=12
again,
from equation first
4x+3y = -15
or 4 × 12 + 3y = -15
or 3y = -15+48
or 3y= 33
or y=33/3
therefore, y =11
I hope this helps. If you have any doubt feel free to ask!!
Answer:
x = -6, y = 3
Step-by-step explanation:
1) 4x + 3y = -15
2) 4x - y = -27
0 + 4y = 12 subtract equation (2) from equation (1)
4y = 12
y = 12/4 = 3 substitute y = 3 into either equation 1 or 2 and solve for x
4x + 3(3) = -15
4x = -24
x = -6
Check your answers by plugging x = -6, y = 3 into the equations:
4(-6) + 3(3) = -15 correct!
4(-6) - 3 = -27 correct!
hello i need help with ym math today please and thanks
The annual cost if she chooses to make monthly payment is $1920 and money saved is $170
How to determine the incomes?The given parameters that will help us to determine the incomes are
Mindley switching to insurance comapnyAnnual premium $1750/ yearMonthly premium $160*12 = $1920a) Annual cost if she chooses to make one annual monthly installment is $1920
b) Money saved is she makes one annual payment is $(1920-1750)= $170
3) Volume of gas = 60 L
Efficiency rating = 10.2km/L
Average drive = Volume / Efficiency = 60/10.2 = 5.9km/L
b) Cost of gas = 149.9⊄⊄/L
Number of liters =60
= 60*149.9
=$8994
c) Constant gas price = $149.9⊄/L
Number of weeks /year = 52
=52*149.9
= $7795
4) Morgan pay $15/hr
Number of hours per week = 40
Gross monthly income = 40*15*4
=$2400
b) Monthly income $2400
Amount left after deduction = 85%
=0.85*2400
Net income = $2040
In conclusion Mindley receives $1920 monthly and saves $170
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Please help will mark Brainly
Answer:
371 children
Step-by-step explanation:
289*$2,5 + 371*$1,5 = $1279
All exponential functions can be written in many forms. Write the function f(t)=90,000(1.3)^t in the form f(t)=ab^t/5. Round all coefficients to four decimal places.
The expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
What is an exponential function?A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.
Given that, we have to express the function [tex]f(t) = 90,000(1.3)^t[/tex] in the form of [tex]f(t) = ab^{\frac{t}{5} }[/tex]
Comparing both the functions,
[tex]b^\frac{t}{5} = (1.3)^t[/tex]
We can write, [tex](1.3)^t[/tex] as
[tex](1.3)^t = (1.3^5)^\frac{t}{5}[/tex]
[tex]= 3.71^\frac{t}{5}[/tex]
Therefore, the equation ca be written as, [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
Hence, the expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]
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Find the slope of the line shown on each graph below
The slope of the lines that passes trough the points (-2,-1) and (-4,-7) is m = 3 , (2,-3) and (6,-13) is m = -2.5 , (-3,4) and (-3,-8) is m = undefined , (-5,7) and (3,-1) is m = -1 .
What is slope ?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.
The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).
(-2,-1) and (-4,-7)
m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−7−−1)/(−4−−2)
m=−6/−2
m = 3
(2,-3) and (6,-13)m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−13−−3)/(6−2)
m=−10/4
m=−5/2
m = -2.5
(-3,4) and (-3,-8)m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−8−4)/(−3−−3)
m=−12/0
m is undefined
(-5,7) and (3,-1)m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−1−7)/(3−−5)
m=−8/8
m = -1
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Aftab pays £3.10 per concrete slab. (b) How much will it cost Aftab to buy enough concrete slabs to make the patio?
To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.
Which value of x makes the expression equal.
5x, 7x - 6
Answer: x=3
Step-by-step explanation:
5x=7x-6
6+5x=7x
6=7x-5x
6=2x
solve for x which x=3
Answer:
x = 3
Step-by-step explanation:
Set the equations equal to each other:
5x = 7x - 6
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Division
Addition
Subtraction
~
Subtract 7x from both sides of the equation:
[tex]5x (-7x) = 7x (-7x) - 6\\5x -7x = -6\\-2x = -6[/tex]
Next, divide -2 from both sides of the equation:
[tex]\frac{-2x}{-2} = \frac{-6}{-2}\\ x = \frac{-6}{-2}[/tex]
*Remember that, when you divide two negative numbers, your answer will be positive:
[tex]x = \frac{-6}{-2} = 3[/tex]
3 is your answer for x.
x = 3.
~
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You need to give 250 mcg of adrenaline, and you have a 1 mL ampoule of 1:1000 adrenaline. How many mL do you want?
The volume of adrenaline you want is 0.25mL
How to determine the volume you wantFrom the question, we have the following parameters that can be used in our computation:
Amount to give = 250 mcg of adrenaline
Available = 1 mL of 1 : 1000 of adrenaline
The expression 1 mL of 1 : 1000 of adrenaline means that
1:1000 contains 1 mg in 1 mL (i.e. 1000 microgram/mL)
So, we have
Available = 1 mL * 1000 microgram/mL
Evaluate
Available = 1000 micrograms
This can be expressed as
Available = 1000 mcg
So, we have
Amount to give = 250 mcg of adrenaline
Available = 1000 mcg of adrenaline
When converted to mL, we have
Available = 1 mL of 1 : 1000 of adrenaline
Divide by 4
Amount = 1 mL of 1/4 : 1000/4 of adrenaline
Evaluate
Amount = 1 mL of 1/4 : 250 of adrenaline
This implies that
Amount = 1 mL of 1/4
Evaluate
Amount = 0.25 mL
So, the amount is 0.25 mL
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Let |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°. Which expression represents |r – s|?
The resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
What are vectors?A vector is an object that has both a magnitude and a direction.
Given is that |r| = 6 at an angle of 30° and |s| = 11 at an angle of 225°.
For the subtraction of vectors, we can write its magnitude as -
|r - s| = √(r² + s² - 2rscos{15})
Therefore, the resultant of subtraction of both vectors is
|r - s| = √(r² + s² - 2rscos{15})
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HELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLP
Write a letter to your friend describing your hobbies. (80 words)A2/32, Chengal Nagar
Tambaram
Chennai – 600023
May 5, 2021
Dearest Malu,
I hope this letter finds you in the best of health. I received your letter the other day asking how I am spending my leisure time these days.
I have developed many hobbies over the years but collecting stamps and embroidery have been my favourite so far. Stamp collection is something I started as a kid. I had just taken a few pages off my notebook and made it my stamp book. I get so excited every time I see the postman. I wait to see what kind of stamp I will get. Knowing that I have a liking for collection of stamps, my cousins have been sending it across to me every time they find a different stamp. I can’t wait to show you my collection.
Embroidery is another hobby I picked up recently. I always liked embroidered clothes. I just started trying out different stitching patterns. Slowly, I learned almost everything, and now I am selling embroidered frames and dresses. It is so fulfilling to see a piece of work come out so well. I am sending you a gift along with this letter, something I made, as your birthday is fast approaching.
Hope to meet you soon.
Your dearest friend,
Renitaالسلام عليكماخوي عارض شريطPandemic
On her to her grandmothers house, Jackie traveled three times as many miles by train as by bus. She traveled four times as many miles by bus as by foot. If Jackie traveled 34 miles in all, how many miles did she travel by train?
She traveled 6.375 miles by train.
What is the speed of an object?Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time
Given here as per question the formula is x × (4+3×4)=34
∴ x×16=34
x= 6.375
Hence, She traveled 6.375 miles by train.
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There are a total of 32 books and calculators on a table. The ratio of the number of books to the
number of calculators is 5: 3. How many calculators are on the table?
A. 3
B. 12
C. 20
D. 24
Answer:
B. 12
Step-by-step explanation:
Your ratio of 5:3 means that the ratio includes 8 objects (5+3). If you multiply the whole ratio by 4, then you have 32 objects on your table. Multiplying your ratio by 4 gives you 5*4 : 3*4 which is 20:12. and since 20 is your amount of books and 12 is your amount of calculators, you have 12 calculators on your table.