Answer:
The GCF is 1.
Step-by-step explanation:
The factors of 1 are: 1
The factors of 1 are: 1
The factors of 2 are: 1, 2
The factors of 3 are: 1, 3
The factors of 4 are: 1, 2, 4
The factors of 5 are: 1, 5
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
The factors of 89 are: 1, 89
The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 176 are: 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Then the greatest common factor is 1.
HELP ME
your revenue function is f(x) = 3x. How does this affect your profit for 100 downloads?
Answer:
It affects it by profit for 100 downloads is for $90 greater.
Step-by-step explanation:
Profit - 90% * revenue - 50
p(x) - 0.9 * f(x) - 50
=0.9 * 3x - 50
=2.7x - 50
Now find the profit for 100 downloads: p(100) = 2.7 * 100 - 50 =220
220 - 130 = 90
Chad will have new carpet put on the rectangular floors of two rooms in his house. One floor is 12 1/2 feet long, and
the other floor is 15 3/4 feet long. Each floor has a width of 10 feet.
What is the total area in square feet of the new carpet?
A 125 ft²
B 157.5 ft²
©282.5 ft²
96.5 ft²
Answer:
c) 282.5 ft²
Step-by-step explanation:
Formula we use,
A = L × W
The area of one floor will be,
→ 12 1/2 × 10
→ 25/2 × 10
→ 250/2
→ 125 ft²
The area of another floor will be,
→ 15 3/4 × 10
→ 63/4 × 10
→ 630/4
→ 157.5 ft²
Total area of the new carpet is,
→ 125 + 157.5
→ 282.5 ft²
Hence, the total area is 282.5 ft².
If One floor is 12 1/2 feet long, and the other floor is 15 3/4 feet long. Each floor has a width of 10 feet. Then total area of new carpet is 282.5 ft²
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that new carpet put on the rectangular floors of two rooms in his house.
One floor is 12 1/2 feet long
Second floor is 15 3/4 feet long.
Width is given by 10 feet.
We know that area of rectangle is
Area = Length × Width
The area of one floor will be,
12 1/2 × 10
25/2 × 10
250/2
125 ft²
The area of another floor will be,
15 3/4 × 10
63/4 × 10
630/4
157.5 ft²
Total area of the new carpet is,
125 + 157.5
282.5 ft²
Hence, the total area of new carpet is 282.5 ft².
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What is the value of 5k² - 6 when k = 9?
O 84
O 375
O 399
O 2019
Answer:
2019
Step-by-step explanation:
Solve the simultaneous
equations
2x+y = 3
x+y=1
Answer:
x = 2, y = -1
Step-by-step explanation:
Now change the equation,
→ x + y = 1
→ y = 1 - x
Then the value of x will be,
→ 2x + y = 3
→ 2x + 1 - x = 3
→ x = 3 - 1
→ [ x = 2 ]
Therefore, the value of x is 2.
Now value of y will be,
→ y = 1 - x
→ y = 1 - 2
→ [ y = -1 ]
Hence, the value of y is -1.
Answer:
(2, -1)
-------
x = 2
y = -1
Step-by-step explanation:
1st equation:
2x + y = 3rewrite
y = 3 - 2x2nd equation:
x + y = 1rewrite
y = 1 - xSolve simultaneously:
y = y3 - 2x = 1 - x-2x + x = 1 - 3-x = -2x = 2When x = 2, y = 1 - x
y = 1 - 2
y = -1
How many license plates can be made using either three letters followed by three digits or four letters followed by two digits?
63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.
What are permutations and combinations?Permutations and combinations are the various ways in which objects from a set can be selected to form subsets, generally without replacement.When the order of selection is a factor, this selection of subsets is called a permutation; when it is not, it is called a combination.So,
Uppercase English letters equal 26.and the digits = 10 (0 to 9)Three uppercase English letters, then three digits:
First letter = 26 different waysSecond letter = 26 different waysThird letter = 26 different waysFourth digit = 10 different waysFifth digit = 10 different waysSixth digit = 10 different waysTotal number of possible ways = 26 x 26 x 26 x 10 x 10 x 10 = 17576000
Four uppercase English letters, then two digits:
First letter = 26 waysSecond letter = 26 waysThird letter = 26 waysFourth letter = 26 waysFifth digit = 10 waysSixth digit = 10 waysTotal number of possible ways = 26 x 26 x 26 x 26 x 10 x 10 = 45697600
Three uppercase English letters, three digits, or four uppercase English letters, two digits.
= three uppercase English letters, three digits + four uppercase English letters, two digits= 17576000 + 45697600= 63273600Therefore, 63273600 license plates can be created using either three uppercase English letters preceded by three digits or four uppercase English letters tried to follow by two digits.
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A rectangle with a total of 80 square feet has been broken into two rectangles with areas of 56
square feet and 24 square feet as shown. The common length of the two smaller rectangles is
a whole number that is greater than either width 1 or width 2, which are both whole numbers.
From this information, determine the length, width 1, and width 2. Explain how you found
your answers.
The length of the rectangle is 8 feet, width 1 is 7 feet and width 2 is 3.
A rectangle of area 80 square feet is broken and forms two square rectangles of area 56 square feet and 24 square feet, which has a common length.
Area of the rectangle = length × width
Now suppose the length is x feet, and let width 1 be a and width 2 be b.
Therefore we get that
rectangle first is of area = x a
rectangle second is of area = x b
Therefore original rectangle area = area of first rectangle + area of the second rectangle
80= x a + x b
80 = x( a + b)
As it is given that the length is common and is greater than both the width of the rectangle
56 = 8 × 7
24 = 8 × 3
So we will take x = 8 and a =7, b= 3
Now put these numbers in the equation to see if they fulfill the criteria
80 = 8( 7 + 3)
80 = 80
Therefore we get a length is 8, a width of 1 is 7, and a width of 2 is 3.
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Simplify.
[tex](4x^{2})^{3}(3x^{6})^{4}[/tex]
What statements describe the properties of a plane? select three options. a plane is one dimensional. a plane has length and width. a plane extends infinitely in all directions. a plane is precisely defined. a plane is a flat surface.
The correct options for defining a plane are-
2)A plane has length and width.3)A plane extends infinitely in all directions5)A plane is a flat surface.What is a plane?A plane is a flat, 2-dimensional surface which extends indefinitely in mathematics. Planes can appear as infinitely expanded subspaces from some multidimensional space, such as one of the room's walls, or they can exist independently, as in the configuration of Euclidean geometry.
Some key properties of the plane are-
If two distinct planes exist, they either are parallel to one another or intersect in a line.A line either runs parallel to the a plane, intersects it at a specific point, or exists within the plane.If two distinct lines are perpendicular to same plane, they has to be parallel to one another.Two planes that are perpendicular to same line must be parallel.Parallel planes & intersecting planes are the two types of planes. Parallel planes are two non-intersecting planes, and intersecting planes are planes that intersect along a line.To know more about the plane, here
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The correct question is -
What statements describe the properties of a plane? Select three options.
1)A plane is one dimensional.
2)A plane has length and width.
3)A plane extends infinitely in all directions.
4)A plane is precisely defined.
5)A plane is a flat surface.
Solve for x in this figure.
Enter your answer in the box.
x = °
The value of x in the hexagon given in the image above is: 132°.
What is the Sum of an N-Sided Polygon?The sum of all interior angles of an n-sided polygon = (n - 2)180, where n is the number of angles/sides of the polygon.
The polygon shown is a hexagon with six (6) interior angles. Find its sum.
Sum of the hexagon = (6 - 2)180
Sum of the hexagon = 720°
This means that if we add the measures of all the six interior angles of the given hexagon, we would get 720°.
Therefore:
x + 108 + 113 + 132 + 75 + 160 = 720
x + 588 = 720
x = 720 - 588
x = 132°
Thus, the value of x in the hexagon given in the image above is: 132°.
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Fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of?
The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of "Law of Multiple Proportions."
What is Law of Multiple Proportions?When two elements combine to form and over one compound, the weights with one element which combine with such a fixed weight of the second are in a ratio of small whole numbers, according to the law of multiple proportions.
Some key features regarding the Law of Multiple Proportions are-
There are five distinct nitrogen oxides, for example, and the weights of oxygen in mixture with 14 grams of nitrogen are, in ascending order, 8, 16, 24, 32, and 40 grams, or in a ratio of 1, 2, 3, 4, 5. The English chemist John Dalton announced the law in 1803; its verification for a broad range of compounds delivered to be the most powerful evidence in favor of Dalton's theory that matter is made up of indivisible atoms.To know more about Law of Multiple Proportions, here
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The complete question is-
Carbon monoxide can be broken down into carbon and oxygen in a mass ratio of 3:4 or 0.75. Carbon dioxide can be broken down into carbon and oxygen in a mass ratio of 3:8 or 0.375. The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of
order these following rational numbers from greatest to least:
25% -0.17 3/5 -1/12 12
Answer:
12, 3/5, 25%, -1/12, -0.17
Step-by-step explanation:
The simplest way to do this is to convert all of the numbers into either a fraction, decimal, or a percentage. In my opinion, it is easier to use a percentage here.
25% is already a percentage
-0.17 = -17%
3/5 = 60%
-1/12 (you can use a calculator to divide and find the percentage here) = -8.33
12 = 1200%
Now that the rational numbers are all in the same unit, it is easier to sort them. In the end, we get this list (from greatest to least):
12, 3/5, 25%, -1/12, -0.17
FINAL ANSWER: 12, 3/5, 25%, -1/12, -0.17
what's the area of the triangle
Answer:
32 is it
Step-by-step explanation:
Directions: Use the distributive property to multiply the following binomials. Write your answer in standard form!
a.) (x+5)(x-2)
Answer:
x^2 +3x -10
Step-by-step explanation:
(x+5)(x-2)
x^2 +5x -2x -10
x^2 +3x -10
Evaluate the expression −x^2 + 2x-7 when X=-4
4. What is the slope of the line that passes through the given points?
(3, 2) and (5, 12)
05
0-5
0-1
O
5
Answer:
5
Step-by-step explanation:
Use slope formula.
y2-y1/x2-x1
12-2/5-3=
=10/2=5
The slope is 5.
Hope this helps!
Please mark as brainliest if correct!
Show that
5x+2
3x
+1⁄/12
can be written in the form
ax+b
CX
where a, b and c are integers.
Answer:
Step-by-step explanation:
When completing the square, an expression like,
ax2 + bx + c is written in the form (Ax + B)2 + C.
We will begin with the simple example where a = 1. In this case we will write expressions in the form
x2 + bx + c as (x + B)2 + C
If we expand (x + B)2 + C we get x2 + 2Bx + B2 + C.
Comparing this with x2 + bx + c shows that
b = 2B and c = B2 + C
which gives B =
b
2
and C = c – B2
What mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it?
The mass of water will change its temperature is 44.09 g.
Given that the temperature is change by 3.0°C when 635 J of heat is added to it.
Based on the given information, we know the following variables:
ΔT=3°C
Q=635J
C=(4.8 J)/(g×°C)
Here, we want to do is rearrange the equation to solve for m and this can be done by dividing both sides by C and ΔT to get m by itself like this:
m=Q/(ΔT×C)
Now, we want to substitute all the given values in the above formula, we get
m=635J/(3°C×(4.8J/(g×°C)))
m=635J/(14.4J/g)
m=44.09g.
Hence, the mass of water will change its temperature by 3.0 °C when 635 J of heat is added to it 44.09g.
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which function has an inverse that is also a function? {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
The correct option is A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.
The function which also has an inverse that is also a function is {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}.
What is termed as a inverse function?An inverse in mathematics is a function which serves to "undo" another function. That is, if f(x) yields y, then placing y into the inverse of f yields x.
A function is a type of relationship that binds inputs to primarily one output.The machine will only acknowledge inputs which are primary criterion as part of a function's domain and will only generate one output for each input.In some other words, the function is the nature of the relationship between variables.In response to the given question
We understand that such a function is really only one that has a unique y value that corresponds to x.
An inverse function is only a function is if function being inversed is also a function.
Thus, option (A) has all x corresponding to y values that are different, but all remaining options have the values repeating, so that will not be a function because only (A) has to inverse.
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The complete question is -
Which function has an inverse that is also a function?
A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
B. {(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
C. {(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
D. {(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
What's the Gcf of 16,44, and 28 (greatest common factor)
Answer:
4
16 / 4 = 4
44 / 4 = 11
28 / 4 = 3
easy
What is an explicit formula for the sequence 0,3,8,15,24,...? What is the 20th term?
Answer:
the most logical answer is
n^2-1
20th term is then 399
Step-by-step explanation:
The rule behind the sequence could be anything, but it is very likely that we're supposed to notice that the terms are all squares minus 1
0 = 1*1 - 1
3 = 2*2 - 1
8 = 3*3 - 1
15 = 4*4 - 1
24 = 5*5 - 1
So we expect that the explicit formula is n^2-1 and the 20th term is 399
Andrew made an error in determining the polynomial equation of the smallest degree whose roots are 3, 2+2i and 2-2i. review andrew's work, identify the error and correct all work from that point forward that is affected by this error.
The polynomial equation is (x³ - 7x² + 20x - 24) = 0 and the Error that made by Andrew is incorrect factors of the roots.
Polynomial Equation:
The equations formed with variables, exponents and coefficients are called as polynomial equations.
Roots of the Polynomial:
Roots of a polynomial refer to the values of a variable for which the given polynomial is equal to zero.
Given,
Roots of the polynomial are: 3, 2 + 2i, 2 - 2i.
Here we need to find the error he made and the correct form of the equation.
According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is a factor of P(x).
According to this definition:
=> (x - 3) , (x - (2 + 2i)) , (x - (2 - 2i))
are factors of the required polynomial.
Simplifying the brackets, we get:
=> (x - 3), (x - 2 - 2i), (x - 2 + 2i)
are factors of the required polynomial.
This is the step where Andrew made the error.
The factors will always be of the form (x - a) , not (x + a).
Andrew wrote the complex factors in form of (x + a) which resulted in the wrong answer.
So, the polynomial would be:
=> (x - 3)(x - 2 - 2i)(x - 2 + 2i) = 0
=> (x - 3) (x² - 2x + 2xi - 2x + 4 - 4i - 2xi - 4i - 4i²) = 0
When we simplify it, then we get,
=> (x - 3)(x² - 4x + 4 + 4) = 0
=> (x - 3)(x² - 4x + 8) = 0
=> (x³ - 4x² + 8x - 3x² + 12x - 24) =0
=> (x³ - 7x² + 20x - 24) = 0.
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n the experiment of the preceding exercise, the subjects were randomly assigned to the different treatments. men with high blood pressure are assigned at random to one of four diets: (1) normal diet with unrestricted salt; (2) vegetarian with unrestricted salt; (3) normal with restricted salt; and (4) vegetarian with restricted salt. what is the most important reason for this random assignment?
Two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.
What is the difference between the Non-restricted and the restricted course?
The majority of shotguns and rifles can be bought, sold, or registered with a non-restricted weapons license. The most popular handguns can be bought, sold, and registered with the restricted firearms license.We have diet two types: normal and veg
salt: restricted and non-restricted
Hence,
option(C) two factors, normal/vegetarian diet and unrestricted/restricted salt is correct.
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56) The length of a rectangle is 1 inch more than 4 times its width. The area of the rectangle is 3 square
inches. What is the perimeter of the rectangle?
Perimeter of rectangle is 9.5 inches
If the length of the rectangle is l and its width is w,
l = 4w + 1, and
lw = (4w+1)×w = 3.
This yields 4w² + 1w -3= 0, which can be solved in the normal way for quadratic equations.
Solving the equation we get as
w=0.75 or w=-1
as it an not be negative value hence w=0.75
l=4
Perimeter of rectangle is 2*(l+w)= 9.5 inches.
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Select the graph of the solution. Click until the correct graph appears.
|x| = 1
Answer:
It's the graph with two dots and no area marked, first image (for me).
Step-by-step explanation:
|x| = 1 means "the distance from x to the 0 point on the axis is exactly 1". There's only 2 numbers x that satisfy that condition: -1 and 1
The second and third image both show an area marked, so it cannot be the right answer, while the first image shows precisely two numbers: -1 and 1
Select all pairs of numbers that have a least common multiple of 30.
Answer:
5 and 6, 3 and 10
Step-by-step explanation:
that's all I can think of
Rory has 3 pounds of ground turkey to make meatballs.He uses 3/8 pound per to make 6 meatballs. How many 1/8 pound meatballs can Rory make with the remaining turkey?
He can make 2 meat balls from the remaining turkey.
Total pounds of ground turkey available = 3 pounds.
Turkey used to make 6 meat ball = 3 / 8 of 3 pounds = 9 / 8 pounds
Turkey used to make 1 meat ball = 9 / 8 ÷ 6 = 3 / 16
1 / 8 meat = 1/ 8 of 3 = 3 / 8 pound of meat.
Number of meatballs made = 3 / 8 × 16 / 3 = 2
Therefore, he can make 2 meat balls from the remaining turkey.
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PLEASE HELPPPP. WILL GIVE BRAINLIEST AND 5 STR RATINGGG
Last year, 63 new houses were built in a neighborhood. So far this year,
Write your answer in simplest form
11
12
of them have been sold. How many new houses have been sold this year?
13
14
The total number of the houses sold this year are 54.
What is defined as the fraction?Fractions are identified as a numerical value representing a portion of a whole.
A fraction is a portion or segment of any quantity taken from the whole, which can be any number, a fixed number, or a thing.Every fraction has a numerator and even a denominator isolated by a horizontal bar recognized as the fractional bar.The denominator signifies the number of parts into which the whole has indeed been subdivided. It is positioned below the fractional bar in the lower part of the fraction.The numerator specifies how many fractional sections are recognized or selected. It is positioned above the fractional bar in the upper part of the fraction.So, 6/7 of the new houses are sold.
Total houses = 63
Multiply the values.
= 63×6/7
= 54
Therefore, the total number of the new houses sold this year is 54.
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The correct question is-
Last year, 63 new houses were built in a neighbourhood. So far this year, 6/7 of them have been sold. How many new houses have been sold this year?
is 9.02 x 10-8 larger than 9.02 x 10-6
Answer:Yes 90.2 x 10-8 is greater then 90.2 x 10-6
Step-by-step explanation:
Evaluate.
(-7) + (-14)=
Answer: -21
Step-by-step explanation: hope you have a good day
−7−14=−7+−14=−21
