Mathematically, a line is a group of infinite points. In another word, a line expands endlessly in both directions. It is a one-dimensional figure with no limit, both to the left and to the right.
Types of lines: There are various types of lines used in everyday life.
1) Curved Lines: A line that is not straight is a curved line. If a point does not proceed in one direction, get a curve.
2) Straight Lines: The shortest line joining any two points is a straight line.
3) Horizontal Lines: A horizontal line is a line that passes from left to right in a straight line.
4)Vertical Lines: Vertical lines move up and down from top to bottom or bottom to up.
5) Parallel Lines: In geometry, parallel lines can be determined as two lines in the same plane that are at an equal distance from each other and never meet.
6) Intersecting Lines: When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share an ordinary point, which lies on all the intersecting lines.
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Heady
Find the area of the triangle
A= ft2
2/3
4
3
The area of the triangle is 6 ft^2.
What is the area of the triangle?
In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.
The values of base (b) and height (h) of triangle is given as -
h=4 ft
b=3 ft
The formula for area of triangle is -
A = hb/2
Plugging in the values in the equation -
A = (4 x 3)/2
A = 12/2
A = 6 ft^2
Therefore, the area of the triangle is obtained as 6 ft^2.
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What is the largest 3 even number?
Answer:
Step-by-step explanation:
is that the question? what do you mean by 3
Answer:
998
Step-by-step explanation:
A recipe uses
300 grams of flour for every
200 grams of sugar.
1. Write an equation that represents how many grams of flour we need (f) for some number of grams of sugar (s). 2. How many grams of flour do we need if we use 500 grams of sugar?
we need for 500 grams of sugar, we can plug 500 into the equation for our value of s. This gives us f = 300 * 500/200 = 750 grams.
1. f = 300s/200
2. f = 300 * 500/200 = 750 grams
1. To write the equation, we can set up a ratio that compares the number of grams of flour to the number of grams of sugar. Since the recipe calls for 300 grams of flour for every 200 grams of sugar, we can set up the equation as f = 300s/200, where f is the number of grams of flour and s is the number of grams of sugar.
2. To find out how many grams of flour we need for 500 grams of sugar, we can plug 500 into the equation for our value of s. This gives us f = 300 * 500/200 = 750 grams.
To write the equation, we can set up a ratio that compares the number of grams of flour to the number of grams of sugar. Since the recipe calls for 300 grams of flour for every 200 grams of sugar, we can set up the equation as f = 300s/200, where f is the number of grams of flour and s is the number of grams of sugar.
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Answer:
750
Equation:
f = 3/2s
How do you find the equation of a dilated line?
You can find the equation of a dilated line by using the formula (x – m)/k = (y – n)/k
There are some steps you can take in order to find the equation of a dilated line. First, you will need to identify the coordinates of the line’s endpoints.
Then, you will need to find the midpoint of the line and the scale factor of the dilation. Once you have those two pieces of information, you can use the formula for a dilated line to find the equation.
Specifically, the equation will be (x – m)/k = (y – n)/k, where m and n are the coordinates of the midpoint and k is the scale factor.
With this formula, you can find the equation of any dilated line.
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One day last week, 6 teachers joined of the members of the chess club for a tournament 5 7 after school. Alan counted a total of 31 people at the tournament that day. How many total members are in the chess club at this school?
The total members of the chess club at the school, given the number of teachers, can be found to be 25 students.
How to find the number of members of the chess club ?When the teachers joined the members of the chess club for a tournament, the number of members that Alan counted was 31 people which means that the number of members in the chess club would be this number, less the number of teachers.
The number of chess club students is therefore :
= Number of people counted by Alan - Number of teachers
= 31 - 6
= 25 members
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Can you help me? Algebra I
Wendell didn't make it in Nashville. Now he only has $12 in nickles and dimes left to his name, barely enough to pay for a bus ticket back home. If Wendell has 3 times as many nickles as dimes, how many dimes does he have?
________Dimes
Wendel has left 144 nickels and 48 dimes to pay for a bus ticket back home.
How to solve an equationAn equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the number of nickels and y represent the number of dimes.
Each nickel is 5 cents (0.05) and each dime is 10 cents (0.1). Hence:
Wendell has $12 in nickels and dimes, hence:
0.05x + 0.1y = 12
0.1y = 12 - 0.05x
y = 120 - 0.5x (1)
Wendell has 3 times as many nickels as dimes, hence:
x = 3y (2)
Using substitution method:
Substituting y = 120 - 0.5x in eqn 2 gives:
x = 3(120 - 0.5x)
x = 360 - 1.5x
x = 144
y = 120 - 0.5(144) = 48
Wendel has 144 nickels and 48 dimes.
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111 base 2 to base 5
(111)₂ = (12)₅
What are base of numbers?The base of a number system refers to the total number of digits that are actually used in the given number system. The number system that has the base 'b' consists of its digits in the [0, b-1] range. This base of the number system is also known as the radix of a number system.
Given,
number 111 with base 2
To convert it into base 5 number we need to first convert it into decimal
(111)₂ = 1×2²+1×2¹+1×2⁰
(111)₂ = 4+2+1
(111)₂ = (7)₁₀
Now converting decimal to base 5, converting decimal numbers to base 5 is nearly as simple: just divide by 5.
(111)₂ = (12)₅
Hence, the number becomes (12)₅.
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you are a member of a team with ten persons. the mean age of team members equals 58 years. three team members who happen to be the same age leave the team. if the mean ago of remaining team members equals 55 years, how old were the members who left? (1 point)
The age of the 3 members who left the team is 65 years.
Let "x" be the age of the 3 team members who left the team.
The mean age of all the 10 members was 58 years. So, the total sum of all the 10 members ages was 580 years.
Now, the mean age of the remaining 7 members after the leaving of 3 members is 55 years. So, the total sum of the 7 remaining members ages is 385 years.
Therefore, the total sum of the 3 members who left the team is (580-385) = 195 years.
Since the 3 members are of the same age, the age of each member is (195/3) = 65 years.
Hence, the age of the 3 members who left the team is 65 years.
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Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits.
The total number of dried fruits are 21, while the total number of nuts are 33 and the total pieces are 18.
As per the given data in the question, there are 54 total fruits in the bag, mixed in a ratio of 11 to 7.
Here we have to determine the total number of dried fruits and total number of nuts.
How is the ratio calculated?First, we have to find the percentage of nut or dried fruit present.
The ratio of fruits to nuts be 7 : 11.
The total pieces are:
7 + 11 = 18
This means that the percentage would be
[tex]\frac{7}{18}[/tex] = 38.889%
[tex]\frac{11}{18}[/tex] = 61.111%
This is the ratio in which they are shared. Then we move on to calculate the final contents of the bag.
[tex]\frac{7}{18}[/tex] × 54 = 21 fruits
[tex]\frac{11}{18}[/tex] × 54 = 33 nuts
This means that there are 33 nuts in the bag, to 21 dried fruits.
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Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits. Calculate the total number of dried fruits, the total number of nuts and the total pieces?
There are 77 number of nuts in the bag.
To find the number of nuts in the bag of trail mix, we must first calculate the total number of fruits in the bag. Since the bag contains 54 pieces of nuts or dried fruits, and there are 11 nuts for every 7 fruits, we can divide 54 by 7 to find the number of fruits. This yields 7.714, which, when rounded to the nearest whole number, is 8. We then multiply 8 by 11 to find the number of nuts in the bag. 8 x 11 = 88. Thus, there are 77 nuts in the bag.
Fruits = 54 / 7 = 7.714 (rounded to 8)
Nuts = 8 x 11 = 88
the complete questiion is : Ren has a bag of trail mix made of 54 total pieces of nut or dried fruit. There are 11 nuts for every 7 fruits. How many nuts are in the bag?
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2 Which ratios are equivalent to 8:12? Select all that apply.
A 4:6
B 12:8
C 16:20
D 24:36
E 56:84
Answer:The ratios are equivalent to 8 : 12 are A 4 : 6 , D 24 : 36 and E 56 : 84.Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.What is the ratio of two quantities?Suppose that we've got two quantities with measurements as 'a' and 'b'Then, their ratio(ratio of a to b) a:bWe usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Numerator is the upper quantity in the fraction and denominator is the lower quantity in the fraction).Suppose that we've got a = 8, and b= 12, So, the ratios are equivalent to 8 : 12A 4 : 6D 24 : 36E 56 : 84
Step-by-step explanation:
carry on learning
How do you find the measure of an angle in 8th grade?
The amount of rotation that is required to bring one side of an angle to the same position as the other is what is referred to as the measure of an angle. Degrees (°) are used as the unit of measurement for angles. One complete turn encompasses all 360 possible degrees.
There are several ways to find the measure of an angle in 8th grade geometry:
Use a protractor: To use a protractor, you need to line up one side of the angle with the protractor's base, and then read the degree measurement as the other side of the angle meets the protractor's scale.Use a straightedge and a compass: If you don't have a protractor, you can use a straightedge and a compass to measure the angle. First, use the compass to draw two arcs that intersect at the vertex of the angle. Then use the straightedge to draw a line segment connecting the endpoints of the arcs. The measure of the angle is the degree measurement of the larger arc.Use the properties of angles: In 8th grade geometry, you may also learn about the properties of angles, such as complementary angles (which add up to 90 degrees), supplementary angles (which add up to 180 degrees), and vertical angles (which are always congruent). By using these properties, you can find the measure of an angle by measuring other angles in the same diagram.Use trigonometry: If you have learned about trigonometry, you can use trigonometric ratios (such as sine, cosine, and tangent) to find the measure of an angle in a right triangle. To do this, you will need to know the lengths of at least two sides of the triangle.Learn more about measures of the angles here: brainly.com/question/25215131
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A book costs $25. It goes on sale for $22. What
47 the percent of decrease?
A
14%
B
88%
C
12%
D
86%
Solve for X. If m<1=(x+13)
M<2=39
M<3=(5x+4)
Thank you <3
Answer:
x = 9
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles.
<3 = <1 + <2
5x+4 = x+1 + 39
Combine like terms
5x+4=x+40
Subtract x from each side
5x-x+4=x-x+40
4x+4 = 40
Subtract 4 from each side
4x+4-4 = 40-4
4x = 36
Divide by 4
4x/4 = 36/4
x = 9
Answer:
x = 12
Step-by-step explanation:
We know that,
The exterior angle of a triangle equals to the sum of opposite interior angles.
Accordingly,
[tex] \angle \: 1 + \angle \: 2 = \angle \:3[/tex]
That is,
x + 13 + 39 = 5x + 4
Combine like terms.
x + 52 = 5x + 4
Subtract x from both sides.
52 = 5x - x + 4
52 = 4x + 4
Subtract 4 from both sides.
52 - 4 = 4x
48 = 4x
Divide both sides by 4.
12 = x
A data set has 10,000 records and 30 predictor variables (columns). Each variablehas 5% of the values missing for that individual variable. The missing values are spread randomly and independently throughout the data set. The analyst uses apredictive model that automatically drops any row (record) that has even a singlemissing values on any of the variables. How many records would be dropped fromthe analysis
10,000 records have 30 predictor variables, each with 5% of the values missing, resulting in 15,000 missing values. The predictive model drops any row with even a single missing value, so 5,000 records would be dropped from the analysis.
1. There are 30 predictor variables.
2. Each variable has 5% of the values missing.
3. 5% of 10,000 records = 500 records.
4. 30 variables x 500 records = 15,000 missing values.
5. 10,000 records - 15,000 missing values = 5,000 records dropped from the analysis.
The data set has 10,000 records and 30 predictor variables. Each variable has 5% of the values missing, so 500 records are missing for each variable. This results in 15,000 missing values spread randomly and independently throughout the data set. The analyst uses a predictive model that drops any row (record) with even a single missing value, so 5,000 records would be dropped from the analysis.
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amie purchased 78 pieces of candy at the local candy store she kept 24 pieces of candy for herself and gave the rest of the candy to her 3 bestfriends. how many pieces of candy did each friend get?
Answer:
18 pieces
Step-by-step explanation:
78 pieces to start with and she kept 24 to herself which means that she has 54 pieces of candy remaining. Assuming she gave an equal amount to each friend, the answer would be 54/3=18. So she gave 18 pieces to each friend.
If f(x)=(3+x)/(x-3), what is f(a+2)
The value of f(a+2) = (5 + a) / (a - 1). so the correct option is B.
What are Functions?In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Now we directly substitute the a + 2 to the all the x's in the function such that,
f(a + 2) = (3 + a + 2) / (a + 2 - 3)
Then Simplifying the function generated above,
f(a + 2) = (5 + a) / (a - 1)
The correct option is B.
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Evaluate the indefinite integral. (Use C for the constant of integration.) x(2x + 5)8dx
The indefinite integral is [tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex].
The indefinite integral is [tex]& \int x(2 x+5)^8 d x[/tex]
u=2x+5
du=(2)dx.
[tex]& x=\frac{u-5}{2} \\[/tex]
An integral which is not having any upper and lower limit is known as an indefinite integral.
Mathematically, if F(x) is any anti-derivative of f(x) then the most general antiderivative of f(x) is called an indefinite integral and denoted,
∫f(x) dx = F(x) + CWhere,
∫ f(x) dx =Integral of f with respect to x An integral of f= A function F such that F′(x) = f (x)Constant of Integration = Any real number C, considered as constant functionIntegration=The process of finding the integralAnti derivatives or integrals of the functions are not unique. There exist infinitely many antiderivatives of each of certain functions, which can be obtained by choosing C arbitrarily from the set of real numbers. For this reason, C is customarily referred to as an arbitrary constant. C is the parameter by which one gets different antiderivatives (or integrals) of the given function.
[tex]& \Rightarrow \int\left(\frac{u-5}{2}\right) u^8\left(\frac{1}{2}\right) d u \text {. } \\[/tex]
[tex]& \Rightarrow \quad \frac{1}{4} \int\left(u^9-5 u^8\right) d u \\\\& \Rightarrow \quad \frac{1}{4}\left[\frac{u^{10}}{10}-\frac{5 u^9}{9}\right] \\&[/tex]
Then differentiative u=2x+5 is
[tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex]
Therefore, the integral is [tex]$\\{\frac{(2 x+5)^{10}}{40}-\frac{5}{36}(2 x+5)^9+C}{}$$[/tex]
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Simplify the following
i. (x²- y²)² + 4x²y²
Answer:
[tex]x^{4}[/tex] + 2x²y² + [tex]y^{4}[/tex]
Step-by-step explanation:
(x² - y²)² + 4x²y²
= (x² - y²)(x² - y²) + 4x²y²
= x²(x² - y²) - y²(x² - y²) + 4x²y² ← distribute parenthesis
= [tex]x^{4}[/tex] - x²y² - x²y² + [tex]y^{4}[/tex] + 4x²y² ← collect like terms
= [tex]x^{4}[/tex] - 2x²y² + [tex]y^{4}[/tex] + 4x²y²
= [tex]x^{4}[/tex] + 2x²y² + [tex]y^{4}[/tex]
Maria brought home a delicious, mouth watering Italian submarine sandwich, dripping with delicious dressing, that was 6 1/8 feet long. She was going to share it with 6 of her friends. if Maria and her friends were able to share the sub equally, how much of the sub each person get?
Using division, the length of the sandwich each friends got was 1.02083ft
What is DivisionDivision is a mathematical operation that divides one number (the dividend) by another (the divisor) to find the answer (the quotient). It is one of the four basic operations in mathematics, along with addition, subtraction, and multiplication.
To determine the size each one got, we have to divide the total length of the sandwich by the number of friends.
We need to convert the mixed fraction into improper fraction or decimal
6 1/8 = 49/8 = 6.125
Now, let's divide this by 6
6.125 / 6 = 49/48 = 1.02083
The length each of her friends will get is 1.02083ft
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what element in the domain has image 6 under the function g(x)=2x÷3
The element in the domain has image 6 under the function g(x) = 2x ÷ 3 is 9.
What is domain?The collection of possible input values is referred to as the domain, and the domain of a graph is made up of all the input values displayed on the x-axis. The collection of potential output values that make up the range is represented by the y-axis.
Given:
g(x) = 2x ÷ 3
The image is 6,
g(x) = 6 (Given)
Calculate the value of the domain as shown below,
6 = 2x / 3
6 × 3 = 2x
x = 18 / 2
x = 9
Thus, the domain is 9.
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someone pls help me do these
Answer:
[tex]1.\ (x - 1)^2 + (y + 4)^2 = 4\\2.\ (x + 2)^2 + (y -5)^2 = 36[/tex]
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{1}{h}~~,~~\underset{-4}{k})}\qquad \stackrel{radius}{\underset{2}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - 1 ~~ )^2 ~~ + ~~ ( ~~ y-(-4) ~~ )^2~~ = ~~2^2\implies {\large \begin{array}{llll} (x-1)^2+(y+4)^2=4 \end{array}}[/tex]
now as for the 2nd one, we know the center and a point on it, well, what's the radius? well, recall that for a circle the radius is simply the distance from the center to the circle in proper, so the distance between those two points is the radius
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ C(\stackrel{x_1}{-2}~,~\stackrel{y_1}{5})\qquad P(\stackrel{x_2}{-2}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ CP=\sqrt{(~~-2 - (-2)~~)^2 + (~~-1 - 5~~)^2} \implies CP=\sqrt{(-2 +2)^2 + (-1 -5)^2} \\\\\\ CP=\sqrt{( 0 )^2 + ( -6 )^2} \implies CP=\sqrt{ 0 + 36 } \implies CP=\sqrt{ 36 }\implies \stackrel{radius}{CP=6}[/tex]
so we're really looking for the equation of a circle with a center at (-2 , 5) with a radius of 6
[tex]\textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \hspace{5em}\stackrel{center}{(\underset{-2}{h}~~,~~\underset{5}{k})}\qquad \stackrel{radius}{\underset{6}{r}} \\\\[-0.35em] ~\dotfill\\\\ ( ~~ x - (-2) ~~ )^2 ~~ + ~~ ( ~~ y-5 ~~ )^2~~ = ~~6^2\implies {\large \begin{array}{llll} (x+2)^2+(y-5)^2=36 \end{array}}[/tex]
Ten people are sitting around a round table. Three of them are chosen at random to give a presentation. What is the probability that the three chosen people were sitting in consecutive seats
The possibility of three people being chosen to give a random presentation as calculated from the given data is 1 / 12.
There are 10 possibilities of selecting the required 3 people.
Using combination we can find the required probability as ,
10c3
= 10 ! / 7! x 3 !
= 10 x 9 x 8 / 3 x 2
= 120
Thus, the probability is equal to 10 / 120 = 1 / 12 .
Combination is a way of combining things in the desired manner . Other than probability we also have permutation which tells about the possibility.
Probability refers to the possibility of occurrence of an event. It is used in industries such as weather forecast.
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on a certain day, the temperature in degrees fahrenheit, ina s mall town t hours after midnight is modeled by the function g(t_
Based on the given function, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is 57.797°. (Option B)
The temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). Hence, the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit is given by:
1/((6-3)) ∫_3^6▒〖(65-8 sin(πt/12)dt〗
65/3 t+ 32/π cos(πt/12)
(65π-16√2)/π
57.797
Note: The question is incomplete. The complete question probably is: On a certain day, the temperature, in degrees Fahrenheit, in a small-town t hours after midnight (t 0) is modeled by the function g(t)= 65 - 8 sin (πt/12). What is the average temperature in the town between 3 A.M. (t= 3) and 6 A M. (t = 6), in degrees Fahrenheit? A) 57.609° B) 57.797° C) 58.172° D) 59.907°.
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How do you find the missing side of an AAS triangle?
To find the missing side of an AAS triangle, use the Pythagorean Theorem and the known lengths of the other two sides to calculate the length of the missing side.
An AAS triangle (angle-angle-side) is a triangle where two angles and one side length are known. To find the missing side, the Pythagorean Theorem must be used. The Pythagorean Theorem states that in a right triangle, the sum of the squares of the two sides must equal the square of the hypotenuse. To use this theorem, the two known sides must be squared and added together. The resulting number must then be equal to the square of the missing side. Once the result is equal, the square root of the result will give you the length of the missing side. For example, if two sides of a triangle are given as 3 and 4, the Pythagorean Theorem can be used to calculate the missing side. Squaring and adding the two sides together (3^2 + 4^2) will result in 25. Taking the square root of this result will give you the length of the missing side, which is 5.
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Ashley measured a line to be 3. 9 inches long. If the actual length of the line is 4. 1 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?.
The Percentage of error of the measurement is 5.1 %
The formula of percentage of error
[tex]\delta = \left| \frac{v_A - v_E}{v_E} \right| \cdot 100\%[/tex]
where
[tex]\delta[/tex] is the percent error
Va is the actual value observed
Ve is the expected value of the measurement
The percent error is the distinction between the estimated value and the actual value in relation to the actual value. In other words, the relative error or expected error is multiplied by 100 to calculate the percent error.
the percent error is
((Estimated Number - Actual Number)/ Actual number) x 100 equals percentage error.
[tex]\delta = \left| \frac{4.1- 3.9}{3.9} \right| \cdot 100\%[/tex]
=> 0.2 / 3.9 x 100
=> 0.0512 x 100
=> 5.12%
The percentage error in the measurement is 5.1%
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The percent error of the measurement is 5.1%, to the nearest tenth of a percent.
To calculate the percent error of the measurement, the formula is:
(|Actual Value - Measured Value|/Actual Value) * 100 = Percent Error
In this case, the actual value is 4.1 inches and the measured value is 3.9 inches. So the calculation is:
(|4.1 - 3.9|/4.1) * 100 = 5.1%
Therefore, the percent error of the measurement is 5.1%, to the nearest tenth of a percent.
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6. Simplify the following
i. (p + q)² - (p - q)² + p²q²
ii. (2m - 8n)²+ (2m + 8n)²
Logarithms ( picture included)
The requried simplified value of the given expression is,
(A) 4
(B) No solution,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Simplifying the expression, in order to get the solution,
(A)
[tex]= log_3(81)\\=log_3(3)^4\\= 4log_33 \ \ \ \ \ \ \ \{log_ee = 1}\\=4\times 1\\= 4[/tex]
(B)
[tex]2^x = 1/32x\\2^x\times 32 = x\\x = 2^x \times 2^5\\x = 2^{x + 5}\\[/tex]
A solution for this equation is not possible,
Thus, the requried simplified value of the given expression is,
(A) 4
(B) No solution,
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using the map distances find the actual distance if the map uses the scale 4in:30 mi. A 2inches B 7inches C 5.5 inches D 10inches
The actual distances, considering the scale 4 inches = 30 miles, are given as follows:
A. 2 inches = 15 miles.
B. 7 inches = 52.5 miles.
C. 5.5 inches = 41.25 miles.
D. 10 inches = 75 miles.
How to find the actual distance?The scale given is a proportion, which represents the relation between the represented distance and the actual distance.
The scale is given as follows:
4 inches = 30 miles
Meaning that each inch in the drawing represents an actual distance of 7.5 miles, as 30/4 = 7.5.
Then the actual distances for each item, in miles, are found multiplying the given distances in inches by 7.5, which is the scale factor of the scale.
For example, in item a, we have that:
2 inches = 2 x 7.5 = 15 miles.
More can be learned about proportions at https://brainly.com/question/24372153
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Lúcia is using energy at a rate of 420420420 kilocalories (\text{kcal})(kcal)left parenthesis, start text, k, c, a, l, end text, right parenthesis per hour (\text{h})(h)left parenthesis, start text, h, end text, right parenthesis ice skating. at what rate is lúcia using energy in calories per minute \left(\dfrac{\text{cal}}{\text{min}}\right)( min cal )left parenthesis, start fraction, start text, c, a, l, end text, divided by, start text, m, i, n, end text, end fraction, right parenthesis?
Answer:
Step-by-step explanation:
lol
6^-10/(6^4)(6^0)
what is the answer
Answer:
6^-14
Step-by-step explanation:
Using laws of indices you'll add the denominators power to account for multiplication
then substract it from the numerators power to get an answer which is 6×10^-14