The expression that represents "10 subtracted from the quotient of 3 and a number" is D. 3 over n - 10.
What is an expression?An expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
Let the number be n
The expression will be:
= 3/n - 10
Therefore, the correct option is D.
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in how many ways can 4 different physics books, 3 different mathematics books, and 2 psychology books be arranged on a bookshelf if the physics books must be together and the mathematics books must be together?
Since the physics books must be together and the mathematics books must be together, There are 1728 ways to arrange the books.
What is fundamental counting principle?The basic counting principle is a method for keeping track of all the potential outcomes in a situation. According to this statement, there are n m n times m n ways to carry out both of these actions if there are n ways to perform one action and m ways to perform another action after that. How selection is made based on options is determined by the Fundamental Principle of Counting. The approach of selection, taking into account all of the potential options and their combinations for calculating the probability, is made simpler by the Fundamental Principle of Counting.
Here,
There are 3 book,
3!=6
3 different mathematics books,
3!=6
4 different physics books,
4!=24
2 psychology books
2!=2
by fundamental counting principle,
6*6*24*2=1728
There are 1728 different ways to arrange the books because the mathematics and physics books must be together.
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PLEASE HELP ASAP WILL MARK BRAINLIST
Answer:
what is your problem
Question
Graph x=−6.
A graph of the given mathematical expression (x = -6) is shown in the image attached below.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right and decreases in numerical value towards the left.
In this scenario, a number line would be used to graph the given mathematical expression because it only contains one (1) variable.
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in a region where we have had big earthquakes (magnitude 7 and above) roughly every 200 years, what is the probability that we will not have a big earthquake in this region in the next two years?
There is a 0.990025 probability that this area won't experience a major earthquake in the next two years.
Define probability.In the field of mathematics called probability theory, random occurrences are studied. The outcome of a random event can take any number of distinct shapes, but it cannot be anticipated before it occurs. The outcome is believed to have been decided by chance.
Given,
In a region where large earthquakes of magnitude 7 or higher have occurred about once every 200 years,
First, the likelihood of an earthquake with a magnitude of 7 or higher is 1/200 = 0.005.
The likelihood of there not being an earthquake is then requested, and it is 1-0.005 = 0.995.
The likelihood that there won't be an earthquake in two years is then
0.995 x 0.995, or.0990025.
The probability that we will not have a big earthquake in this region in the next two years is 0.990025.
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a veterinarian visits a cat shelter housing 432 cats. of 42 randomly selected cats that she studies, she finds that 14 cats suffer from separation anxiety. of those, 10 cats were orphaned as kittens. what proportion of cats in the sample suffer from separation anxiety? round your answer to the nearest percent. responses 3% 3% 24% 24% 33% 33% 71%
The proportion of cats in the sample suffers from separation anxiety is 33%
Given 432 cats, a sample of 42 cats is taken.
Out of these 42, cats 14 are suffering from separation anxiety.
The proportion of cats suffering from separation anxiety is: 14/42
The percentage of Cats suffering from separation anxiety is:[tex]\frac{14}{42}*100[/tex]%
This is equal to 33%, rounding off to the nearest percentage value.
Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.
The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.
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The proportion of cats in the sample suffers from separation anxiety is 33%
Given 432 cats, a sample of 42 cats is taken.
Out of these 42, cats 14 are suffering from separation anxiety.
The proportion of cats suffering from separation anxiety is: 14/42
The percentage of Cats suffering from separation anxiety is:(14/42)*100%
This is equal to 33%, rounding off to the nearest percentage value.
Therefore, The proportion of cats in the sample who suffers from separation anxiety is 33%.
The sample proportion (p^hat) describes the proportion of people in a sample who have a particular attribute or trait. Divide the number of persons (or items) who have the characteristic of interest by the total number of people (or items) in the sample to get the sample proportion.
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Consider the system of equations : 2a + 3b - 4c = 7,
a - b + 2c = 6
(a) Find an ordered tripe of numbers (a,b,c) that satisfies both equations.
(b) Can you find a second ordered triple that satisfies both equations.
(c) Solve for b in terms of a, and solve for c in terms of a. How many solutions does this system have?
Answer:
a. 87 b. 9 c. 4
Step-by-step explanation:
The sum of the angle measures of any triangle is 180°. Find the angle measures of a triangle if the second angle measures 7° less than twice the first, and the third angle measures 19° more than the second.
Answer:
first angle =35
second angle=63
third angle=82
You go to the store to buy supplies for class. You want to buy a new notebook for $3 and 5
folders. The most you can spend is $10. If you buy all the same type of folders, what are the
individual folder prices you can afford?
(Algebra)
If we buy all the same type of folders, the maximum amount we can afford for an individual folder is $ 3.3
To buy : A notebook for = $ 3
number of folders required = 5
The amount of money we can spend is $ 10
The above mentioned problem is a problem of algebra because we would have to use a variable to find out the unknown value.
The individual folders price can be calculated by the equation
3x = 10
divide both sides by 3 and we will get
x = 3.3
Thus the individual folder prices we can afford is $ 3.3
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Given f(x)=2x+4 , describe how the graph of g compares with the graph of f.
g(x)=2(0.4x)+4
Please help
The function g(x) is a horizontal dilation of scale factor k = 5/2 of function f(x).
How the two graphs compare?We know that f(x) is a linear function:
f(x) = 2x + 4
Here we know that:
g(x) = 2*(0.4x) + 4
Notice that function g(x) can be written as:
g(x) = f(0.4*x)
So we have a horizontal dilation, remember a horizontal dilation of scale factor k can be written as:
g(x) =f(x/k)
Notice that 0.4 = 2/5
Then we have a horizontal dilation of scale factor 5/2.
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The unit rate is cup of milk to
1 cup of flour, so the constant of
proportionality is 2. Let y
represent the number of cups of
milk, and x represent the
number of cups of flour.
3
y = 2x
y=2(3), or 21
4
The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.Constant ratio, constant rate, unit rate, constant of variation, and even rate of change are other names for the constant of proportionality.
Find the solution ?Therefore, let's examine the provided graph first in order to locate the solution.We can see that 1 batch of cookies need 2 cups of flour
This provides us with a ratio of 2:1.
Constant proportionality is the ratio of two proportional quantities having a constant value.
Since the batch of cookies grows by 1 for every 2 cups added, we have a constant proportionality of 2 cups.
3y=2x
Divide each term in 3y=2x
by 3
and simplify.
Tap for more steps...
y=2x3
Since the equation can be written in the form y=kx
, y varies directly with x and k. The constant of variation, k, is 23
23
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What is the coefficient of the third term in this expression?
–
5–2t3–4t3u3+8v
The coefficient of the third term in the given expression is -4
Determining the coefficient of a term in an expressionFrom the question, we are to determine the coefficient of the third term in the given expression.
A coefficient is the numerical value that is written along with a variable or it is multiplied by the variable.
The given expression is
5 – 2t3 – 4t3u3 + 8v
This can be properly written as
5 - 2t³ - 4t³u³ + 8v
The third term in this expression is - 4t³u³
In this term, the numerical value that is written along with the variable is -4
Hence, the coefficient is -4
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CORE
SKILL
ADVANCED
If a is inversely related to the square of b, and a = 3 when bis
8, which of the following is another possible value for a and b?
(A) a = 4, b = 12
(B) a = 12, b = 4
(C) a = 8, b = 3
(D) a = 2, b = 4
(E) a = 6, b = 4
Another possible values for a and b are a = 12 and b = 4
How to find another possible value for a and b?
A variation is a relation between a set of values of one variable and a set of values of other variables
Given that: a is inversely related to the square of b, and a = 3 when bis
8.
This can be written as:
a α 1/b²
a = k/b² (where k is a constant)
k = ab²
since a = 3 and b = 8.
Thus, k = 3 × 8² = 3 × 64 = 192
For a value to be another possible value for a and b, they must give k = 192 when substituted into the equation k = ab²:
a = 4, b = 12: k = 4 × 12² = 576
a = 12, b = 4: k = 12 × 4² = 192
a = 8, b = 3: k = 8 × 3² = 72
a = 2, b = 4: k = 2 × 4² = 32
a = 6, b = 4: k = 6 × 4² = 96
The values that produce k = 192 are a = 12 and b = 4. Therefore, another possible value for a and b is a = 12 and b = 4. So option B is the answer
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two trains leave a station at the same time and travel in opposite directions. one train travels 20 kph faster than the other train. after 3 hours, they are 810 miles apart. what is the speed of each train?
The speed of each train is 125kph and 145kph.
Here it is given that the distance between the two trains is 810 miles after traveling for 3 hours.
The difference in their speed is 20 kph.
Let x be the speed of one train. So by this, we get the speed of the second train that is x + 20.
Formula to calculate speed is:
Speed = Distance / Time
Distance = Speed × Time
Distance covered by first train = x × 3
Distance covered by second train = (x + 20) × 3
Total distance = 810
So we get;
3x + (x + 20)3 = 810
3x + 3x + 60 = 810
6x = 750
x = 125
x + 20 = 125 + 20 = 145
Therefore we get the speed of both trains which is 125kpp and 145 kph.
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3x - 2 when x=4
please be quickkkkkkkk
Answer:
10
Step-by-step explanation:
substitute x = 4 into the expression
3x - 2 = 3(4) - 2 = 12 - 2 = 10
Answer: 10
Step-by-step explanation:
4 × 3 = 12
12 - 2= 19
Hope it helps
PLEASE ANSWER
there are no choises
The relation between angle 1 and angle 2 is they are equal and corresponding angle.
What are parallel lines?
Two lines are said to be parallel when they do not intersect each other. We can also say that two lines that run along and meet at infinity are called parallel lines.
What are corresponding angles?
Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines and the transversal.
Given, m and l are parallel line.
Hence, m and l satisfy the condition of parallel lines.
Therefore, the angle 1 and angle 3 are equal.
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What is the image of (1, 0) after a counterclockwise rotation of 60°?
Answer: I'm pretty sure this is the same question. https://brainly.com/question/16428516
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The equation of the parabola from the vertex is f(x) = 7(x - 3)² + 5
How to determine the equation of the parabola?The equation of the function is given as
f(x) = 7x²
Also, we have
Vertex = (3, 5)
The form of the equation is given as
f(x) = a(x - h)² + k
Where
Vertex = (h, k)
This means that
Vertex = (h, k) = (3, 5)
Substitute (h, k) = (3, 5) in the equation f(x) = a(x - h)² + k
So, we have
f(x) = a(x - 3)² + 5
This also means that
f(x) = 7(x - 3)² + 5
The 7 is gotten from f(x) = 7x²
Hence, the equation of the parabola is f(x) = 7(x - 3)² + 5
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how many license plate combinations are there with either three letters then three numbers or three numbers then three letters
The license plate combinations with either three letters then three numbers or three numbers then three letters are 35152000.
The license plate combinations to be made are either three number followed by three letter or three letter followed by three number. we are here assuming that the repetition of the number and letter are allowed.
The number can be any three from 0-9. So, the total choices of number are 10.
The letter can be from A-Z. So, the total choices for letter are 26.
The total choices of the numbers possible are,
ΟΟΟ ΟΟΟ
1 2 3 4 5 6
The first three are the choices of letter and the last three are the choice of number. Two combinations are also possible by interchanging the position of the set of numbers and letters.
So, the possible combinations are,
2 x [26x26x26x10x10x10]
Hence,
The possible combinations for the license plate number are 35152000.
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A 7-pound box of strawberries costs $12.32. What is the price per ounce?
Step-by-step explanation:
Answer: 9.090909090909091
Step-by-step explanation: Knowing this we can solve. We have 7 pounds, and there are 16oz in 1 pound so we multiply the number of pounds by the number of ounces in 1 pound. 7 x 16 = 112 ounces. So there are 112oz total, which costs $12.32. Now we divide $12.32 by 112oz to find the price per ounce which would be roughly 9.09
Can write the equation of the graph?
suppose a sample of a certain substance decayed to 67.8% of its original amount after 300 days. (round your answers to two decimal places.) (a) what is the half-life (in days) of this substance? days
The half-life of this sample is 535.1 days.
Half-life is defined as the time it will took a substance to reduce to half of its initial amount. The half-life of a substance is determined with respect to the rate of the reaction. It can be calculated using the formula below.
N(t) = N₀(1/2)^(t/T)
where N(t) = amount of substance remaining after time t
N₀ = initial amount of substance
t = time
T = half-life
If a sample of a certain substance decayed to 67.8% of its original amount after 300 days, then N(300) = 0.678N₀.
Plug in the given values to the equation.
N(t) = N₀(1/2)^(t/T)
0.678N₀ = N₀(1/2)^(300/T)
0.678 = (1/2)^(300/T)
T = 535.1 days
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Type the correct answer in the box. use numerals instead of words. the weight of a bag of golf balls varies directly as the number of golf balls in the bag. if a bag of 69 golf balls weighs 2,553 grams, how many golf balls are in a bag that weighs 1,110 grams? number of golf balls:
A total of 30 golf balls are there in the bag that weighs 1110 grams.
A total of 69 golf balls weights 2553 grams in a bag.
It is asked that how much golf balls does make 1110 grams of weight.
Let us say that the weight of one ball is X.
So, Using unitary method,
We can write,
69 times mass of one golf ball = 2553 grams.
69X = 2553
X = 2553/69
X = 37 grams.
Hence, the weight of one ball is 37 grams.
Now, let us say that Y balls weights 1110 grams,
So, we can write,
Y time weight of one ball = 1110
37Y = 1110
Y = 1110/37
Y = 30.
Hence, 30 golf balls will weight 1110 grams.
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Answer:
30
Step-by-step explanation:
an inverted pyramid is being filled with water at a constant rate of 40 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 5 cm, and the height is 9 cm. find the rate at which the water level is rising when the water level is 2 cm.
The rate at which the water level is rising when the water level is 5 cm is;
dh/dt = 1.6 cm/s
What is a PYRAMID?A structure with triangle outside surfaces that converge to a single step at the summit is referred to as a pyramid (from Greek: pyrams)]. This shape is roughly a pyramid in the geometric sense. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has at least three triangular exterior surfaces (at least four faces including the base). A typical variation is the square pyramid, which has a square base and four triangular exterior surfaces.Because a pyramid is built with the pyramidion at the top and the remainder of the weight closer to the ground[3], less material will be pressing down from above. Early civilizations could build stable structures thanks to this weight distribution.Acc to our question-
length of square side; s = 4 cmheight of pyramid; h = 8 cmvolumetric rate; dV/dt = 30 cm³/sSince the base is square shaped and we know that area of a square = s², then we can say that;Volume of pyramid = ¹/₃s²hThe pyramid has a height of 8 cm and length of its' square base side is 8 cm.Now, regardless of the water height, the surface of the water will always be square shaped. This implies that the ratio of the height to the top side of square will always be the same. Thus, we can say that; s = 4/8 h = h/2Thus, Volume is;V = ¹/₃ × (h/2)² × hV = ¹/₃ × h³/4V = h³/12dV/dt = (3h²/4) dh/dtPlugging in the relevant values gives;30 = (3 × 5²/4) dh/d120 = 75 dh/dtdh/dt = 120/75dh/dt = 1.6 cm/sHence,The rate at which the water level is rising when the water level is 5 cm is; dh/dt = 1.6 cm/s
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n?
8) 2y = 6x²-x+3
2y=6x
8
sy=-15
linear or nonlinear
Answer: I would say non linear. I have done problems like these before and anytime there is an exponent in the equation it always ends up being non linear. Also remember for it to be linear it most form a straight line that passes through the origin.
Step-by-step explanation:
The slope of a ramp leading from the door to the ground is 5/3. the first point has a height of 27 inches; the second point has a height of 12 inches. what is the horizontal distance,x, in inches that is between these two markers?
x=12in
Slope of ramp= SecФ =5/3
Let the height of first point be H1
Let the height of second point be H2
Then, H1=27in (Provided in the question)
H2=12in (Provided in the question)
The base of the right angled triangle then = H1-H2
Let the perpendicular be denoted as p
Let the base be denoted as b
Let the hypotenuse be denoted as h
then, b=H1-H2
b=27-12
b=15
The Formula of SecФ=1/CosФ
Since, CosФ= Base/Hypotenuse
SecФ=/Hypotenuse/Base
SecФ= h/b
SecФ= 5/3 (Provided in the question)
then,
5/3=15/b
cross multiplying
5b=15x3
b=15x3/5
cancelling out 15 by 5
b=3x3
b=9
From Pythagoras theorem
[tex]h^{2}[/tex]=[tex]p^{2}[/tex]+ [tex]b^{2}[/tex]
putting values in the equation above:
[tex]15^{2}[/tex]=[tex]p^{2}[/tex] +[tex]9^{2}[/tex]
15x15=[tex]p^{2}[/tex]+81
225-81=[tex]p^{2}[/tex]
[tex]\sqrt{225-81}[/tex]=p
[tex]\sqrt{144}[/tex]=p
12=p
Since slope of ramp is equivalent to angle of depression
thus, p=x
x=12in
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the graph shows the relationship between the amount of peaches in pounds xand the cost of peaches in dollars y
PLEASE HELP
The proportional relationship between the amount of peaches in pounds x and the cost of peaches in dollars y is given as follows:
y = 2.5x.
Direct proportional relationshipA direct proportional relationship is a special case of a linear function, with an intercept of zero, hence the output variable symbolized by y is given by the multiplication of the input variable symbolized by x and the constant of proportionality symbolized by k, as follows:
y = kx.
In this problem, we have to find the constant k taking a point of the graph.
The point taken is:
(2,5).
Meaning that when x = 2, y = 5.
Hence the constant is calculated as follows:
5 = 2k
k = 5/2
k = 2.5.
Then the equation is:
y = 2.5x.
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I need help I am very confused on this Thank you for your guys help!!
The measure of the side MK of the triangle is 109.6.
What is the scale factor?The scale factor is defined as the proportion of the new image's size to that of the previous image. The ratio of the scale of an original object to a new object that is a representation of it but is a different size is known as a scale factor.
For the triangles, the scale factor will be calculated as,
Scale factor = 57 /13
The measure of the side MK will be calculated as,
57 / 13 = MK / 25
MK = ( 57 x 25 ) / 13
MK = 1425 / 13
MK = 109.61
Therefore, the measure of the side MK of the triangle is 109.6.
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Darius ran a total distance of 52 1/4 mile last month. Each day he went for * 1 pc
a run, he ran 2 3/4 miles. How many days did Darius run last
month?
Answer:
82 and 2/4 (if it was 30 days)
Step-by-step explanation:
you turn the fraction into a decimal and multiply it by the certain number of what you need to figure out.
What is 36.9 rounded to the nearest percent
Answer: 37%
Step-by-step explanation:
36.9 rounds up into 37%
A 20-sided regular polygon has an angle measure represented as 3gº.
Determine the value of g.
O g = 180
O g=1
O g = 60
O g = 54
The value of g in the 20 sided regular polygon is 54.
How to find the angles of a regular polygon?If all the polygon sides and interior angles are equal, then they are known as regular polygons.
The polygon given is a 20 sided regular polygon and the measure of each angle is 3g degrees.
Therefore, let's find g.
The sum of interior angles of a 20 sided polygon is as follows:
180(n - 2) = 180(20 - 2) = 180(18) = 3240
Therefore,
each angle = 3240 / 20 = 162
Hence,
162 = 3g
g = 162 / 3
Therefore,
g = 54
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