Does anyone know the answer to this?
Answer: I think it is between 3rd and 4 lines of number 2 and 3
Step-by-step explanation:
Because it line here is 0.20
so 2.7 will be some where between 3rd and 4 lines of number 2 and 3
Lauren has a 16-foot ladder. The safety instructions recommend the base of
the ladder be placed 6 feet from the base of the wall. How high will the ladder
be able to reach up the wall?
Round your answer to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
You can use Pythagoras theorem for this
[tex]16^{2}[/tex] = [tex]6^{2}[/tex] + [tex]x^{2}[/tex]
256 = 36 + [tex]x^{2}[/tex]
220 = [tex]x^{2}[/tex]
[tex]\sqrt{220}[/tex] = x
14.8323.... = x
we also have to remember that it could be negative, but, negative distances are just the same distance but in the other direction, so they are the same length here.
14.8 feet = x to the nearest 10th
What is the value of K the line?
As asked by the question, the value of K for a given equation of a line is equal to the slope of the line.
What is a line?A line has length but no breadth, making it a one-dimensional figure. A line is made up of a collection of points that may be stretched indefinitely in opposing directions. Two points in a two-dimensional plane determine it.
What is slope of a line?A line's steepness may be determined by looking at its slope. Slope is computed mathematically as "rise over run" (change in y divided by change in x).
The value of K for a given line is equal to the slope of the line. Since lines are generally expressed in the form of y = mx +b , where m is the slope of the line and b is the y-intercept of the line. Here , the value of K will be equal to the slope m of the line.
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How do I solve this equation?
The solution of the equation is ( x - 5 )² +23 = 0.
What is completing square method?Completing the square entails writing a quadratic in the form of a squared bracket and, if necessary, adding a constant.
Mathematical symbols can represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping, as well as the order of operations and other features of logical syntax.
Given that the equation is x²-10x = 3. The equation will be solved by completing the square method as below,
x²-10x = 3
x² - 10x - 3 = 0
( x - 5 )² - 3 + 5² = 0
( x - 5 )² - 3 + 25 = 0
( x - 5 )² + 23 = 0
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True or false-
The domain and range for the function f(x) = x3 -2x2 -3x are both all real numbers.
Answer:
The answer is False.
Step-by-step explanation:
Check the explanation below
A triangular pendant has two sides of length 23 mm and 31 mm. What are the possible lengths (in whole mm) for the third side?.
According to Pythagoras theorem, the value of the third side of the triangle is 38.6mm
In math Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
Here we have given that the triangular pendant has two sides of length 23 mm and 31 mm.
And we need to find the possible lengths (in whole mm) for the third side.
Here in the given question, we have the values of the two sides are 23mm and 31mm.
Then we have to apply the values on the Pythagoras theorem formula,
=> hypotenuse² = adjacent² + opposite²
Now, we have to apply the values as opposite and adjacent on it, then we get,
=> hypotenuse²= 23² + 31²
=> hypotenuse² = 529 + 961
=> hypotenuse² = 1490
Therefore, the value of the third side is 38.6mm
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which point of concurrency is determined by the three altitudes of any triangle?
Answer:
orthocentre
Step-by-step explanation:
A triangle's three altitudes intersect at the orthocentre
What is the volume of 6 cube?
Answer:
The number of unit cubes are 6, its volume is 6 cu cm.
Step-by-step explanation:
Earning Commission Sales Commision Rate Commission $750 3%
The commission for $750 at 3% is:
Commission can be defined as the fees or extra fees that is been paid to someone for a job well done or for rendering a service.
Now let find the commission amount using this formula
Commission = Earnings × rate
Where:
Earnings = $750
Rate =3%
Commission = $750 × 3%
Commission = $22.50
Therefore the commission is $22.50.
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The complete question is:
Find the commission.
Earning Commission
Sales Commission Rate Commission
$750
3%
?
The commission is $
What is the slope of a 30 degree angle?
The slope of an angle 30 which in the positive x direction is tanФ = tan30= 1/√3
Slope:
Slope describes the steepness of a line and it also remains constant with the line it also gives us information about the direction. If the slop is negative then the line will be in the negative x-axis if the slop is positive the line will be in the positive x-direction.
A slope of a line is the change in the y coordinate w.r.t the change in the x coordinate.
m = Δy/Δx
m=tan θ = Δy/Δx
m=tan 30 = 1/[tex]\sqrt{3}[/tex]
Therefore the slope of a line that makes an angle of 30 with the positive x direction will be 1/√3
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A and B can finish a work in 30 days they worked for it for 20 days and then B left the remaining work was done by alone in 20 more days a alone can finish the work in
Answer:
A could finish the whole work in 60 days
Step-by-step explanation:
Both A and B can finish the work in 30 days.
That means both A and B can finish 1/30 part of the work in 1 day.
So in 20 days, both A and B can finish 20/30 = 2/3 part of the work.
Both A and B worked together for 20 days and completed 2/3 part of the work. Now 1/3 part of the work is remaining.
But after 20 days B left the work. Now A finished the remaining 1/3 part of the work alone.
Given A has completed the remaining 1/3 part of the work in 20 days. We are asked to find in how many days A could finish the whole work.
Let A could finish the whole work in x days.
That means A could finish 1/x part of the work in 1 day.
So in 20 days, A could finish 20(1/x) = 20/x part of the work.
But it's given that A finished the remaining 1/3 part of the work in 20 days.
Thus we are able to equate 20/x and 1/3.
[tex]\longrightarrow\dfrac{20}{x}=\dfrac{1}{3}[/tex]
[tex]\Longrightarrow\underline{\underline{x=60}}[/tex]
Hence A could finish the whole work in 60 days.
Find the critical numbers of the function on the interval 0≤ θ < 2π.
f(θ) = 2cos(θ) +(sin(θ))^2
Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.
Therefore, the answer is 0 and π.
f(θ) = 2cos(θ) +(sin(θ))²
f'(θ) = -2sin(θ) +2sin(θ)cos(θ)
Critical values of f are points at which f' is zero or not defined.
For all values of θ, we can find that f'(θ) is defined.
f'(θ) = 0
-2sin(θ) +2sin(θ)cos(θ) = 0
cos(θ) - 1 = 0 or sin(θ) = 0
cos(θ) = 1
θ = nπ, n = 0, 1, 2, ...
sin(θ) = 0
θ = nπ, n = 0, 1, 2, ...
Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.
2π is not there as it is not included in the interval.
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At which root does the graph of f x x 4 6 * x 7 5 cross the X axis?
The graph of the function f(x) = x^4 - 6*x^7 + 5 crosses the x-axis at x = 0 and x = 5.
The graph of the function f(x) = x^4 - 6*x^7 + 5 is a polynomial function. The roots of a polynomial are the values of x for which the polynomial is equal to zero. To find the roots of the polynomial, we must solve the equation f(x) = 0. To solve this equation, we will use polynomial division.
We will divide the polynomial by (x - 5), which will give us the following result:
f(x) = x^4 - 6*x^7 + 5 = (x - 5)(x^3 + 7x^2 - 5x + 25).
We can now solve for the roots of the polynomial. Since (x - 5) is a factor of the polynomial, the root is x = 5. We can also solve for the other roots by setting the remainder of the polynomial division equal to 0. This gives us the equation x^3 + 7x^2 - 5x + 25 = 0. This equation can be solved by factoring and the result is x = 0, 1, and 5. Therefore, the graph of f(x) = x^4 - 6*x^7 + 5 crosses the x-axis at x = 0 and x = 5.
f(x) = x^4 - 6*x^7 + 5
Divide f(x) by (x-5):
f(x) = (x-5)*(x^3 + 7x^2 - 5x + 25)
Set remainder equal to 0:
x^3 + 7x^2 - 5x + 25 = 0
Factor:
x^3 + 7x^2 - 5x + 25 = (x - 5)*(x^2 + 5x + 5)
x = 0, 1, 5
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What if limit is infinity minus infinity?
If the limit is infinity minus infinity it is undefined because the result would be a number that is not a real number.
In mathematics, a limit is the value that a function approaches as the independent variable approaches a certain value. Limits are used to study the behavior of a function as the independent variable approaches a certain point.When the limit is infinity minus infinity (∞ - ∞), it is undefined because the result is not a real number. Infinity minus infinity is an indeterminate form, which means that the limit could approach any real number or it could approach infinity or negative infinity. In other words, the result of infinity minus infinity is an unknown quantity.To understand why infinity minus infinity is undefined, you must understand the concept of infinity. Infinity is not a number, but rather an idea of something that is larger than any number. Therefore, when subtracting infinity from infinity, there is no set answer since the two concepts are not numbers. To calculate the limit, the two infinities must be replaced with real numbers. In conclusion, when the limit is infinity minus infinity, it is undefined because the result is not a real number. Infinity is an idea and not a number, so the result of infinity minus infinity can not be determined. To calculate the limit, the two infinities must be replaced with real numbers.
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What is the missing term?
Answer:
5
Step-by-step explanation:
-5*-1 = 5
What are the two variables involved in the graph?
The two variables involved in the graph are: input variable (x - value) and output variable (y- value)
We know that many types of problems require two variables at the same time. such relation can be described algebraically by a two variable function or equation.
To represent such function graphically we use two perpendicular lines called axes and their point of intersection is called as the origin. This method of representation is known as the Cartesian coordinate system. The numerical value of one variable is measured along the horizontal axis called the x axis. Whereas the numerical value of the other variable is measured along the vertical axis called the y axis.
The four sections formed due to these axex are called quadrants.
Therefore, the two variables involved in the graph are input variable which measured along x-axis and output variable which measured along y-axis.
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A hardware store rents vacuum cleaners that customers may use for part of a day before returning. The function f(x) = 6x + 14 models the total rental cost of a vacuum cleaner.
If the function for the total rental cost for vacuum cleaner is f(x) = 6x + 14 , then the cost for using it for 10 hours is $74 .
A hardware store rents vacuum cleaner for a part of a day ,
the function that models the total rental cost for the vacuum cleaner is given as : f(x) = 6x + 14 ;
where , x is the number of hours the cleaner is used .
given that the vacuum cleaner is used for 10 hours , So x = 10 .
the total cost is f(10) = 6×10 + 14 ;
f(10) = 60 + 14 ;
f(10) = 74 ;
Therefore , the total rental cost for using the vacuum cleaner for 10 hours is $74 .
The given question is incomplete , the complete question is
A hardware store rents vacuum cleaners that customers may use for part of a day before returning. The function f(x) = 6x + 14 models the total rental cost of a vacuum cleaner. What is the total cost for using the vacuum cleaner for 10 hours .
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A workers earnings E are a function of the number of hours N worked at a rate of $8.75 per hour. Write a function rule that represents each situation
The function rule that represents each situation is $8.75 * n.
What is a function?
A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
Here, we have
A worker's earnings E are a function of the number of hours N worked at a rate of $8.75 per hour.
We have to create an incognita that represents a worker's salary based on how many hours he or she works.
G: Worker's salary
n: number of hours worked
G=f(n)
Then using the data that the worker earns $8.75 per hour worked, we must formulate f(n) so that with this data we can calculate G.
G = f(n) = $8.75 * n
If the worker performs 1 hour of work (n=1), then his salary will be:
G = $8.75 * 1 = $8.75
If the worker performs 10 hours of work (n=10), then his salary will be:
G=$8.75 * 10 = $87.5
Hence, the function rule that represents each situation is $8.75 * n.
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What information should you check for when a figure is congruent?
Two shapes are congruent if they have the same shape and size. We can also say if two shapes are congruent, then the mirror image of one shape is the same as the other.
Geometric figures that are congruent share the same size and shape. In other words, figures are congruent if they can be transformed into one another through a series of transformations, rotations, and/or reflections. When the sides and angles of two triangles match, the triangles are said to be congruent.
Triangles that have comparable sides and equal angles are said to be congruent. Indicating congruence is the sign “≅”.
identical in size and shape.
Congruent refers to objects that are exactly the same size and shape. Even if we flip, turn, or revolve the shapes, the shape and size must remain the same.
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Students were surveyed about their preference between dogs and cats. The following two-way
table displays data for the sample of students who responded to the survey.
How many students in the sample were female?
students
Prefers dogs: male 30, female 20
Prefers cats: males 10, females 26
No preference: males 2, females 6
Answer:
46 students
Step-by-step explanation:
20 female prefers dogs + 26 female prefer cats + 6 female no preference = 46 female total.
What is the mean of 4 and 25?
The geometric mean of 4 and 25 is 10.
When a positive value is repeated in either the means or extremes position of a proportion, that value is referred to as a geometric mean (or mean proportional) between the other two values.
The Geometric Mean (GM) is the average value or mean that, by taking the product of a set of numbers' values as its root, indicates the collection's central tendency.
Let x = the geometric mean.
4/x = x/25 (by the definition of geometric mean)
x²=100
x=√100 (cross-product property)
x=10
Hence, The geometric mean of 4 and 25 is 10.
Complete question: What is the geometric mean of 4 and 25?
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which expression represents the perimeter of
8x - 43
5x+12
Answer:
Step-by-step explanation:
The perimeter is P = 26x - 62.
P = 2(L + B)
P = 2(5x + 12 + 8x - 43)
P = 2(13x - 31)
P = 26x - 62
For what values of x and y are the triangles to the right congruent by HL?
Based on the Hypotenuse-Length Theorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:
x = 8
y = 4
What is Recall?Two right triangles are congruent to each other by the Hypotenuse-Length Congruence Theorem (HL) if the hypotenuse length and one leg of a right triangle is congruent to the hypotenuse length and leg of the other right triangle.
Thus, for both right triangles to be congruent, it means that their hypotenuse and one of their corresponding legs must be equal to each other.
Use this to create two equations and solve to get the value of x and y.
Equal Hypotenuse:
(eqn. 1)
Equal legs:
(eqn. 2).
Find the value of y, by substituting x = (y + 4) into eqn. 1.
(eqn. 1)
Substitute
Find the value of x, by substituting y = 4 into eqn. 2.
X=y+4
X=4+4
X=8
Therefore, based on the Hypotenuse-Length Theorem of Congruence (HL), the values of x and y that will make both right triangles congruent are:
x = 8
y = 4
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what is 777777900000/244576575
Answer:
31800.997945142
or
31800 24407400⁄24457657
S
What is the domain and range calculator?
The domain and range calculator is a tool that allows us to enter the necessary data and have it compute and output the domain and range.
What are domain and range?The range of values that we are permitted to enter into our function is known as the domain of a function.
The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input.
After we enter an x value, the function outputs this sequence of values.
We simply solve the equation y = f to determine the values of the independent variable x and obtain the domain (x).
Simply put, after determining g's domain, x=g(y) will calculate the function's range (y).
The domain and range calculator is a tool in which we put in the required values and it calculates and gives out the domain and range as an output.
Therefore, the domain and range calculator is a tool that allows us to enter the necessary data and have it compute and output the domain and range.
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luke went to a blackjack table at the casino. at the table, the dealer has just shuffled a standard deck of 52 cards. luke has had good luck at blackjack in the past, and he actually got three blackjacks with queens in a row the last time he played. because of this lucky run, luke thinks that queens are the luckiest card. the dealer deals the first card to him. in a split second, he can see that it is a face card, but he is unsure if it is a queen. what is the probability of the card being a queen, given that it is a face card? answer choices are in a percentage format, rounded to the nearest whole number.
The probability of the card being a queen, given that it is a face card is; 33%
How to find the probability of selection?The probability of an event is simply the number of favorable outcomes divided by the total number of outcomes possible.
In a standard deck of cards, we know that there are 52 cards in total and that out of those 52 cards, there are 12 face cards.
Now, One-third of those face cards are always queens, due to the fact that there are 4 queens in a deck of cards.
This means that the probability using the formula of;
Probability = number of favorable outcomes/number of expected outcomes
Probability = 4/12 = 1/3 = 0.33 = 33%
Therefore, we conclude that there is a 33% chance that the card Luke holds is a queen.
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What is the linear inequality symbol?
The symbol of a linear inequality is: " ≤ " or " ≥ "
What is a linear inequality equation?The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
It's a line with a shaded side on one side to show which xy pairings are the inequality's solutions.
For example -
Let us take a equation, 4x + 8y ≤ -24
Now, solve the above equation in the form of slope-intercept.
4x + 8y ≤ -24
or, 8y ≤ - 4x - 24
or, y ≤ -(1/2)x - 3
Now, the graph becomes according to the slope-intercept form is:
Here we noticed that,
This side of the inequality is shaded below (instead of above) because y is lower than (or equal to) the other side.
Because working with a "or equal to" inequality, draw a solid line rather than a dashed one. Points on the solid line denote locations where the inequality has been solved.
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What are the 4 inverse operations?
The four Inverse operations are :
Addition and SubstractionMultiplication and DivisionSquare and Square RootCube and Cube rootWhat are inverse Operation ?Inverse operations, such as addition and subtraction, multiplication and division, are pairs of mathematical operations where one operation reverses the effect of the other. In most cases, a number's inverse refers to its reciprocal, as in x /1 Equals 1 / x. One results from multiplying a number by its reciprocal, or inverse.
To produce a result equal to 0, add the original number and the additive inverse by simply reversing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.
A multiplicative inverse or reciprocal for a number x is a number that, when multiplied by x, produces the multiplicative identity, or 1. It is represented by 1/x or x/1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number.
Squares are the numbers that are produced when a value is multiplied by itself. In contrast, a number's square root is a value that, when multiplied by itself, returns the original value.
The definition of a cube is the process of multiplying a number by itself three times, while a cube root is the opposite of a cube. Alternately, we may state that a number's cube root gives us a number that, when cubed, gives us the same number and is referred to as a perfect cube.
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What steps transform the graph of y=x 2 to y=−2(x−1) 2 +5?
The function y = - 2(x - 1)² + 5 is reflected along the y-axis, shifted horizontally to the right by 1 unit, and then shifted vertically by 5 units.
What are some rules of function transformations?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over y axis, (-x, y).
-f(x) = Reflection over x-axis, (x, -y).
Given, The parent function is y = x² which is quadratic.
Now, y = - 2(x - 1)² + 5,
First is reflected along the y-axis (-) sign,
(x - 1) is shifted by 1 unit to the right horizontally and (+5) is shifted vertically 5 units up.
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a manufacturer claims that the mean lifetime of its fluorescent bulbs is 1500 hours. a homeowner selects 40 bulbs and finds the mean lifetime to be 1480 hours with a population standard deviation of 80 hours. test the manufacturer's claim. use alpha equal to 0.05. state the sample mean and the population standard deviation.
Z-score of the manufacturer's claim is 0.25.
what is Z-score?It is a statistical expression that refers the difference between observed value and standard deviation.
How to calculate Z value?we calculate the Z-score from the following equation.
Z-score= X-μ/σ
(Observed value- mean value)/standard deviation
as per the question= (manufacturer's claim - sample mean)/standard deviation
(1500-1480)/80=0.25
hence, Z-score is 0.25
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Z-score of the manufacturer's claim is 0.25.
what is Z-score?It refers to the difference between the observed value and standard deviation and is a statistical statement.
The standard score, also known as a z-score, is a highly helpful statistic since it lets us compare scores from different normal distributions and assess the likelihood that a given score will fall within our normal distribution.
The 90th percentile's z-score is 1.2816, as calculated by the Percentile to Z-Score Calculator. Therefore, a student's z-score would be deemed "excellent" if it was greater than or equal to 1.2816.
How to calculate Z value?we calculate the Z-score from the following equation.
Z-score= X-μ/σ
(Observed value- mean value)/standard deviation
as per the question= (manufacturer's claim - sample mean)/standard deviation
(1500-1480)/80=0.25
hence, Z-score is 0.25
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