5 (five) is a number, numeral, and digit.
It is a prime number and the natural and cardinal number that comes after 4 and before 6. Because most people have five digits on each hand, it has gained significance throughout history.
5 is the second super-prime and third-smallest prime number. It is the first of three known Wilson primes, the first good prime, the first balanced prime, and the first safe prime. The number five is also the third Catalan number, the third Sophie Germain prime, the third exponent of the third Mersenne prime, and the second Fermat prime.
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What does 4 more than mean?
Answer:
+4
Step-by-step explanation:
if x is your number, then x+4 is four more than
Answer:
Answer Below
Step-by-step explanation:
The phrase "4 more than" means 4 has been added onto a number. Eg:"Sue has 4 more sweets than Ann, means that however many sweets Ann has, Sue's number is bigger by 4.
Find the area under the graph
Therefore , the solution of the given problem of function comes out to be 4 log2 + 3/4 is the are required.
What is meant by the word function?A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x). The input has an x in it.
Here,
Given :
=> f(x) = x.2ˣ
=>A = [tex]\int\limits^2_{-1} x.2^{x}[/tex]dx
=> A = [tex]2^{x} \int\limits^2_{-1} x. + x\int\limits^2_{-1} 2^{x}[/tex]
=> [ xlog2 + x²/2 + x²log2 ]₋₁²
=> log2 + 3/4 + 3log2
=> 4 log2 + 3/4
Therefore , the solution of the given problem of function comes out to be 4 log2 + 3/4 is the are required.
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Market Research Math Quiz
QUESTION 9 of 10: A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if
it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
a
a) $2,075
b) $2,920
c) $3,092
d) $4,022
a
Submit
The total cost of the market research survey is $1000 (base fee) + $75 (cost per question) + $1000 (cost per person surveyed) = $2075.
The total cost to conduct the market research survey is calculated by adding the base fee, the cost per question, and the cost per person surveyed.
The survey has 15 questions and will be sent to 500 people. The survey has a base fee of $1000, which is a fixed cost regardless of the number of questions or people surveyed.
Additionally, the survey has a cost of $5 per question, which is calculated by multiplying the number of questions by the cost per question.
Lastly, the survey has a cost of $2 per person surveyed, which is calculated by multiplying the number of people surveyed by the cost per person surveyed. By adding all these costs together we get the total cost of the survey $2075 which is a combination of fixed and variable costs.
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Convert 12 m/s in
to km/h
By using the conversion factor: 1 km/h = 0.277778 m/s, we get 12 meter per second is equal to 43.2 km/h.
What is velocity?Velocity is a vector quantity that represents the rate of change of an object's position. It is defined as the displacement of an object divided by the time it takes for that displacement to occur. In other words, velocity tells you how fast an object is moving in a certain direction.
What is the unit and formula for velocity?The standard unit for velocity is meters per second (m/s) or kilometers per hour (km/h) in the International System of Units (SI). In imperial system of units, it is expressed in feet per second (ft/s) or miles per hour (mph).
The formula for velocity is:
velocity = displacement / time
To convert 12 m/s to km/h, you can multiply 12 by the conversion factor:
12 m/s * (1 km/h / 0.277778 m/s) = 43.2 km/h
So 12 meters per second is equal to 43.2 kilometers per hour.
Another way to do the conversion is by applying the formula :
Speed (km/h) = Speed (m/s) x 3.6
12 x 3.6 = 43.2
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What is the formula of perimeter Class 6?
The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.
The formula is:
Perimeter = (the distance all the way around the outside of the figure).
How to calculate the distance all the way around the outside of the figure
is different for every shape.
A few of them are:
The perimeter of a Square, (P) = 4 × Side units.
The perimeter of a Rectangle, (P) = 2(l + b) units.
The perimeter of a Triangle is = Sum of all three sides.
The perimeter of a Circle = 2 π r = π d.
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HELP!!!! Due to inflation, there were two price increases. After the second increase, the price of an item was twice its original price. By what percent did prices increase the first time if prices increased by 25% the second time?
The increase was 250% over the original price.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
let 'x' represent the original price, then 'x+0.25x' represents the first increase of 25%
six times greater, converted to a percentage:
(x+0.25x)×2×100 a second increase of six-fold
1.25x×2×100
250
The increase was 250% over the original price.
Hence, the increase was 250% over the original price.
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Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters, how many of each coin does he have?
quarters
nickels
The number of coins of nickels and quarters will be 27 and 13, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters.
Let 'x' be the number of nickels and 'y' be the number of quarters. Then the equations are given as,
x = y + 14 ....1
0.05x + 0.25y = 4.60 ....2
From equations 1 and 2, then we have
0.05(y + 14) + 0.25y = 1
0.05y + 0.70 + 0.25y = 4.60
0.30y = 3.9
y = 13
Then the value of 'x' is given as,
x = 13 + 14
x = 27
The number of coins of nickels and quarters will be 27 and 13, respectively.
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what would x be in x-3.4=17.1
Answer:
X = 20.5
Step-by-step explanation:
Move 3.4 to the other side, then solve for x.
x - 3.4 = 17.1
x = 17.1 + 3.4
x = 20.5
Elizabeth has 214 gallons of milk in her refrigerator, and she drinks 23 of the quantity. How much milk does Elizabeth drink?
Answer:
9 days
Step-by-step explanation:
We know
Elizabeth has 214 gallons of milk; she drinks 23 of the quantity each day.
We take
214 / 23 = 9 days
So, she can drink in 9 days
What is the simplified value of the expression below?
1/3 divided by 2/3
0
1/3
1/2
1
Answer: 1/2
Step-by-step explanation:
( see image ) ( Keep Change Flip )
What’s the slope of the line going though the points (12,0) and (12,9)
Answer:
infinity/undefined (both are acceptable)
Undefined is actually the best answer in college but your answer key might put it as infinity.
Step-by-step explanation:
Observe that the x coordinates of the two points are exactly the same at 12.
This reduces the possibility of the line being a horizontal or a vertical line.
Imagine, if x coordinates is always the same, it means that you are only varying y and that happens when you move up and down the graph.
Hence, the line is a straight vertical line. (Line equation: x = 12)
Gradient/Slope of a vertical line = infinity/undefined.
The slope of the given line is Undefined
The slope of the line when two points in the line is given is given by
m=(y₂-y₁)/(x₂-x₁)
The points are (12,0) and (12,9)
m=(9-0)/(12-12)
= 9/0
=Undefined
The slope of the line is Undefined
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Solve: 8w + 5= 4 (2 w+1)=
Answer: No Solutions
Step-by-step explanation:
8w + 5= 4 (2 w+1)=
8w+5=(4)(2w)+(4)(1)
8w+5=8w+4
-8w -8w
5=4
-5 -5
0=-1
Which means there are No Solutions.
Answer:
8w+5=4(2w+1)
8w+5=8w+4
collect like terms
8w-8w = 4-5
0=-1
there is no solution
How do I do this function stuff I’m been kinda confused
Explanation:
When solving a function, you plug in the given [tex]x[/tex]-value (what's inside the parentheses next to the [tex]g[/tex] or [tex]f[/tex]) into the corresponding equation (what [tex]f(x)[/tex] and [tex]g(x)[/tex] are set equal to).
Before starting the worksheet, take a simpler example:
Given the function [tex]h(x) = x + 2[/tex],
the following work solves for [tex]h(3)[/tex].
[tex]h(3) = 3 + 2[/tex]
[tex]h(3) = 5[/tex]
Essentially, to solve for the value of a function for a given [tex]x[/tex]-value, simply plug in that value in for [tex]x[/tex] and simplify the resulting expression.
Onto problem 14 from the given worksheet:
We are given [tex]f(x) = 3x + 2[/tex] and are asked to solve for [tex]f(4)[/tex].
Hence, all we have to do is plug [tex]4[/tex] in for [tex]x[/tex]:
[tex]f(4) = 3(4) + 2[/tex]
[tex]f(4) = 12 + 2[/tex]
[tex]f(4) = 14[/tex]
You can apply this concept to the rest of the problems.
What is __ main __ PY in Python?
The __main__ is a constructor used in python which can be used to check the name of the top-level environment of the program.
It is contained inside the __ main __ PY file package.
Example, __name__ == '__main__' expression.
Python is a programming language which is high level in nature and is mainly used in the field of data science and artificial intelligence . Python is dynamically-typed and garbage-collected. It has a large community of developer and is an upcoming language.
It is easy to learn and evolving language and has a lot of packages and modules which makes it easy to work on it.
It is an interpreted language and a python file is saved using the extension .py .
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Solve each system of inequalities. SHOW WORK.
[tex]\left \{ {{0.7x-2.1\ \textless \ 0} \atop {\frac{2}{3} x\ \textgreater \ 1}} \right.[/tex]
Answer:
Solve linear or quadratic inequalities with our free step-by-step algebra calculator. ... Example 1 Solve for x and check: x + 5 = 3. Solution.
Missing: [tex 0.7x-2.1\ \textless \atop \textgreater tex]
7.9 , 8.37 , 7.293 , 7.785 , 7.476 greatest to least..pls help!!
Answer: 7.785,7.476,7.293,8.37.7.9
Step-by-step explanation:
Please help me I am struggling with this
Step-by-step explanation:
(1). x-intercept: Put y = 0 in the equation y = 2x - 6 and solve for x. The x-intercept is 3.
y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for y. The y-intercept is -6.
(2). x-intercept: Put y = 0 in the equation y = x - 7 and solve for x. The x-intercept is 7.
y-intercept: Put x = 0 in the equation y = x - 7 and solve for y. The y-intercept is -7
(3). x-intercept: Put y = 0 in the equation y = (3/2)x - 9 and solve for x. The x-intercept is -6.
y-intercept: Put x = 0 in the equation y = (3/2)x -9 and solve for y. The y-intercept is -9.
(4). x-intercept: Put y = 0 in the equation y = (-1/4)x + 1 and solve for x. The x-intercept is -4.
y-intercept: Put x = 0 in the equation y = (-1/4)x + 1 and solve for y. The y-intercept is 1.
(5). x-intercept: Put y = 0 in the equation -x + y = -5 and solve for x. The x-intercept is 5.
y-intercept: Put x = 0 in the equation -x + y = -5 and solve for y. The y-intercept is -5.
(6). x-intercept: Put y = 0 in the equation x + 2y = -14 and solve for x. The x-intercept is -14.
y-intercept: Put x = 0 in the equation x + 2y = -14 and solve for y. The y-intercept is -7.
(7). x-intercept: Put y = 0 in the equation 3x - y = -3 and solve for x. The x-intercept is -1.
y-intercept: Put x = 0 in the equation 3x - y = -3 and solve for y. The y-intercept is 3.
(8). x-intercept: Put y = 0 in the equation 5x + 3y = 15 and solve for x. The x-intercept is 3.
y-intercept: Put x = 0 in the equation 5x + 3y = 15 and solve for y. The y-intercept is 5.
I) if y varies directly as x and inversely as the square root of z, and y = 1/6 when x = 20 and z = 6, determine y when x = 14 and z = 5
Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:
y = kx/(sqrt(z)), where k is a constant.
We can find the value of k by substituting the known values into the equation. We get:
1/6 = k*20/sqrt(6)
k = 1/240
Substituting this value of k into the original equation, we get:
y = (1/240)x/(sqrt(z))
Substituting the values x = 14 and z = 5 into this equation, we get:
y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22
Step-by-step explanation:
Graph the solution to this inequality on the number line.
1/3x-3<-1 5/6
Help please asap
Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.
what is inequality ?A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.
given
the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.
2 plus 3 on both sides
Simply multiply both sides of 1/3x by 3x31/2,
and then graph x31/2 on a number line.
Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.
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How do i find the solution(s) ?
Answer:
-8 , (0, -8)
Step-by-step explanation:
Y-interceptsThe y-intercept of a line is where a line intersects the y-axis, or the vertical axis.
SolutionReferring to the picture given, the y-intercept is -8 with the coordinates (0, -8)
Answer:
The vertex is (1,-9)
The y intercept is (0, -8)
Step-by-step explanation:
This is a parabola. The vertex is the low point since the parabola is opening upwards.
The vertex is (1,-9)
The y intercept is where it crosses the y axis. The y intercept is (0, -8)
The ages of the winners of a cycling tournament are approximately? bell-shaped. The mean age is 36. The ages of the winners of a cycling tournament are approximately? bell-shaped. The mean age is 28. 2 ?years, with a standard deviation of 3. 5 years. Transform into a z score
Therefore , the solution of the given problem of median comes out to be
a)z-score = 1.50 b)age 34 has SD=1.5 and C. option B correct.
Specify median.
The value that exactly falls in the center of an ordered dataset is the median value. A central tendency measure or average is the difference between both the lowest and highest 50% of the data. The methods for calculating the median and mode vary according to whether you have had an odd or perhaps even number of data points.
Here,
Given : mean age is 36.
Standard deviation = 3.5
a) z - score = (34 - 28.3)/3.8 = 1.50
b) Interpretation:
An age of 34 is about 1.50 standard deviations above the mean.
c) Option B is correct.
Therefore , the solution of the given problem of median comes out to be
a)z-score = 1.50 b)age 34 has SD=1.5 and C. option B correct.
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What is the angle between the lines 2x 3y =- Z and 6x =- Y =- 4z?
90° is the angle between the lines 2x = 3y = -z and 6x = -y = -2z and explained with directions of ratios as below
Direction ratios of line 2x = 3y = -z which can be mentioned as [tex]\frac{x}{1/2} = \frac{y}{1/3} = \frac{z}{-1}[/tex] hence [tex](\frac{1}{2} , \frac{1}{3} ,-1 )[/tex]
Direction ratios of line 6x = -y = -2z which can be mentioned as
[tex]\frac{x}{1/6} = \frac{y}{-1} =\frac{z}{-1/4}[/tex] hence [tex](\frac{1}{6} , -1 , \frac{-1}{4} )[/tex]
hence the dot product of the direction ratio of two line is
[tex]\frac{1}{2} .\frac{1}{6} + \frac{1}{3} . (-1) + (-1) . \frac{-1}{4}[/tex]
= [tex]\frac{1}{12} -\frac{1}{3} + \frac{1}{4}[/tex]
= 0
hence this shows that angle between the given equations is 90°
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What is the relation between direction cosines of a vector?
The direction cosines of a vector are the cosines of the angles between the vector and the three mutually perpendicular axes of a coordinate system.
The direction cosines of a vector [tex]$\mathbf{a}$[/tex] are denoted by l, m and n. Mathematically, the relation between these direction cosines is given by:
[tex]$$\mathbf{a}=l\mathbf{\hat{i}}+m\mathbf{\hat{j}}+n\mathbf{\hat{k}}$$[/tex]
where i,j and k are unit vectors along the three axes of the coordinate system.
To calculate the direction cosines of a given vector [tex]$\mathbf{a}$[/tex] with components [tex]$a_x$, $a_y$ and $a_z$[/tex], we can use the following formula:
[tex]$$l = \frac{a_x}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]
[tex]$$m = \frac{a_y}{\sqrt{a_x^2+a_y^2+a_z^2}}$$ \\ $$n = \frac{a_z}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]
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A cylindrical aluminum soda can is to hold 12 ounces of tasty beverage. What are the dimensions of the can that will minimize the amount of aluminum used
A cylindrical can with volume 355 ml will use the least aluminum if its radius is about 3.84 cm and its height is about 7.67 cm.
What is a reasonable approximation for the volume of a soda can?The soda cans are advertised as having a volume of 12 ounces, or 355 milliliters. The remaining head space is just under 25 ml. The can weighs about 13 g by itself. 39 g, or about 11%, of sugar, make up 355 ml of Coke.
How much pressure does a 12 oz. soda can typically hold?When canned at 4 °C and stored at 20 °C, 12 oz. soda cans typically have pressures of about 120 kPa and 250 kPa, respectively. A 7UP® can that has been refrigerated contains 210 kPa of pressure. Pepsi-Cola®, on the other hand, has 276 kPa at about 16 °C.
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-35PTS- what theorem can be used to prove these triangles are congruent
Answer:
Neither----------------------------
We see two sides and one angle marked as congruent on both triangles.
The congruent angle is not included.
It means we can neither state it is ASA nor SAA as both of these require two congruent angles.
About 3/4 of a person weight is water. If a student weighs 100 lbs, how much of his weight is water
Answer:
75 of his weight is water
Step-by-step explanation:
3/4 * 100
3 * 100/4
3 *25
The answer is 75
Answer: 75 pounds
Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75
-Damien Kubinec
How are the quantities in the problem related? What steps are needed to solve the problem?
O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.
What is inequality?A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.
A disparity is presented to us.
[tex]y+4\leq 0[/tex]
The answer to the inequality must be discovered.
For each side of the inequality, deduct 4
y +4 - 4 ≤ 0 - 4
y ≤ -4
y ∈ ( - ∞ , - 4 ]
As a result, the solution set for the given inequality is provided by y (- , - 4].
O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.
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a map drawn move to the scale 2 cm : 100 mi. on the map b is 3.5 centimeters from town a and town c is 2 centimeters past town b how many miles apart town a and town b
The distance between town a and b is 175 mi.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.
Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b
Since, 2 cm = 100 mi
1 cm = 50 mi
Therefore, 3.5 cm = 50×3.5 = 175 mi
Hence, the distance between town a and b is 175 mi.
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Triangle GHI is similar to triangle JKL. Find the measure of side JK. Round your answer to the nearest tenth!
Given: Two triangle AGHI AJKL.
To find: measure of side JK and round the answer nearest tenth.
Solution: from figure
IH=5, GH=8,LK=16 from similarity rule
IH/LK=GH/JK
5/16 = 8/x
⇒5x=16x8
x=16×8/5
⇒x=25.6 or
x= 26 (nearest tenth), this is side JK
Definition of TriangleA triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.
Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.
Shape of TriangleTriangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.
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480 over 840 turning it into the lowest term
Answer:
The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.
Step-by-step explanation: