[tex]\frac{3}{14}[/tex] is the straight section.
What is fraction?A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. A fraction is a number that is a component of a whole. By breaking a whole into a number of parts, it is evaluated. For instance, the symbol for half of a complete number or item is 12. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection.
Given Data
Length = 5[tex]\frac{5}{6}[/tex]
Length = [tex]\frac{35}{6}[/tex]
Straight section = 1[tex]\frac{1}{4}[/tex]
Straight section = [tex]\frac{5}{4}[/tex]
Dividing them:
= [tex]\frac{35}{6}[/tex] ÷ [tex]\frac{5}{4}[/tex]
= [tex]\frac{35}{6}[/tex] ×[tex]\frac{4}{5}[/tex]
= [tex]\frac{6}{28}[/tex]
= [tex]\frac{3}{14}[/tex]
[tex]\frac{3}{14}[/tex] is the straight section.
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Abc has vertices a(-2, "-1)" b(1,2 and c(2,-4) if a'b'c' is a dilation of abc with a scaled factor of 2.5 and center of dilation (0, 0), give the coordinates of the vertices of a'b'c
The new coordinates of the vertices a'b'c' are (-5, -2.5), (2.5, 5) and (5, -10) respectively of the triangle.
What is defined as the scale factor?Scaling (or dilation) is the process of making something bigger or smaller. As a result, if we scale this same coordinates points, we multiply the points by the scale factor to really get new coordinates points that are greater or less than the original points.For the given question;
The vertices of the triangle has the coordinates of a, b and c;
a = (-2, -1)b = (1, 2) c = (2, -4)The dilation of the abc is factored with the scale factor of 2.5.
Thus, to find the new coordinates of a'b'c' multiply each value with 2.5.
a' = 2.5×(-2, -1) = (-5, -2.5)b' = 2.5×(1, 2) = (2.5, 5)c' = 2.5× (2, -4) = (5, -10)Thus, the new coordinates of the vertices a'b'c' are (-5, -2.5), (2.5, 5) and (5, -10) respectively.
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I NEED HELP WITH THIS PLEASE
Answer: 4. 27x + 18 8. 4x - 5
Step-by-step explanation: should be right
Round 64.87 to the nearest tenth.
Answer:
64.9
Step-by-step explanation:
Since 7 is equal to or above 5 it will add +1 to the 8
Answer:
64.87 rounded to the nearest tenth is 64.9 since it is past 5 :)
Step-by-step explanation:
Which of the following is a true statement?
All negative numbers are above zero on the number line.
All positive numbers are to the left of zero on the number line.
All negative numbers are to the left of zero on the number line.
All statements are correct.
Answer:
Step-by-step explanation:
The correct statement is all negative number are to the left of zero on a number line.
When you look at a number line you will see negative numbers, 0, then positive numbers ( -# ------- 0 -------- +#), you an see the negative numbers are on the left.
Twice a number increased by twenty is at least eighty-five. Select all possible values of the number.
Answer:
2x+20≥84
2x≥64
x≥32
Step-by-step explanation:
Please help me do the Q1. 5 ii)
The most appropriate choice for trigonometric function will be given by
Greatest value = 2, least value = -3
What are trigonometric functions?
Trigonometric functions are those functions which shows the relationship between side and angle of a right angled triangle.
There are six trigonometric functions-
[tex]sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]
[tex]sin\theta=\frac{perpendicular}{hypoteunse}\\ \\cos\theta=\frac{base}{hypoteunse}\\\\tan\theta=\frac{perpendicular}{base}\\\\cot\theta=\frac{base}{perpendicular}\\\\sec\theta=\frac{hypotenuse}{base}\\\\cosec\theta=\frac{hypotenuse}{perpendicular}[/tex]
Here,
5 ii)
[tex]2 sin^{2} x - 3cos^{2}x \\2(1-cos^2x)-3cos^2x\\2 - 2cos^2x -3cos^2x\\2 - 5cos^2x\\[/tex]
Now,
[tex]0\leq cos^{2}x \leq 1\\ -1 \leq -cos^2x\leq 0\\-5\leq -5cos^2x\leq 0\\-5+2\leq 2-5cos^2x\leq 0+2\\-3\leq 2-5cos^2x\leq 2[/tex]
Greatest value = 2, least value = -3
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Which polynomial is prime?
x² + 7
x² - 25
3x²-27
2x²-8
answer is (a) just took the quiz
The polynomial function, x² + 7 is prime
What is a polynomial?
A polynomial is an expression in mathematics that consists of indeterminates (also known as variables) and coefficients and includes only the operations of addition, subtraction, multiplication, and positive-integer powers of variables. x² + 4x + 7 is an example of a polynomial with a single indeterminate x. In three variables, consider x³ + 2xyz² - yz + 1.
The polynomial function, x² + 7 is prime.
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You pay 10.5% sales tax on a $85 purchase. How much was the tax?
Answer:
85x10.5%=8.925
Step-by-step explanation:
Write the quadratic equation that has roots [tex]\frac{(-1-\sqrt{2})}{3}[/tex] and [tex]\frac{(-1+\sqrt{2})}{3}[/tex] if its coefficient with [tex]x^{2}[/tex] is equal to 9.
The quadratic equation is [tex]9x^2-2/3x-\frac{1+2\sqrt{2}}{3}[/tex]
Quadratic Equation:
A quadratic function is a function of degree two.
The general form of the quadratic equation is as follows:
x² + (sum of roots)x + Product of roots.
Given,
Here we have the roots,
[tex]\frac{-1-\sqrt{2} }{3} ,\frac{-1+\sqrt{2} }{3}[/tex]
And the coefficient with x² is equal to 9.
Through the given details we have to find the quadratic equation.
To find the equation we have to identify the sum of roots and the product of roots.
So, the sum of roots is,
[tex]= > \frac{-1-\sqrt{2} }{3} +\frac{-1+\sqrt{2} }{3}[/tex]
[tex]= > \frac{-1 }{3} +\frac{-1 }{3}\\= > \frac{-2}{3}[/tex]
Now the product of roots is,
[tex]= > \frac{-1-\sqrt{2} }{3} \times\frac{-1+\sqrt{2} }{3}[/tex]
[tex]= > \frac{1-\sqrt{2}-\sqrt{2}-2 }{3}=\frac{-1-2\sqrt{2} }{3}[/tex]
So, the quadratic equation is,
[tex]= > 9x^2-2/3x-\frac{1+2\sqrt{2}}{3}[/tex]
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What is the volume of a cuboid with 10cm 8cm and 6cm
Answer:
480 cm³
Step-by-step explanation:
volume = width × heigh × length
volume = 10 cm × 8 cm × 6 cm
volume = 480 cm³
Hope it Help~
ee piles of rocks. the mean weight of the rocks in a is 40 pounds, the mean weight of the rocks in b is 50 pounds, the mean weight of the rocks in the combined piles a and b is 43 pounds, and the mean weight of the rocks in the combined piles a and c is 44 pounds. what is the greatest possible integer value for the mean in pounds of the
The greatest possible integer value for the mean is calculated as 59.
What is defined as the consistent solution?A system is said to be consistent if it has at least one solution. A consistent system is independent if it has exactly one solution. It is dependent if a consistent system has had an infinite number of solutions.Assume that the three piles contain A,B,C rocks, that mean of pile C is x, and the mean of a combination of B and C is y. We will maximize y if the following conditions are met:
40A + 50B = 43(A+B)
40A + xC = 44(A+C)
50B + xC = y(B+C)
that can be reorganized as follows:
7B = 3A
(x - 44)C = 4A
(x - y)C = (y - 50)B
Let's see if y=59 is possible. If so, it's already the solution. Otherwise, there will be an inconsistency. As a result, the third equation is as follows:
(x - 59)C = 9B.
So, 15C = (x-44)C - (x-59)C = 4A - 9B
45C = 4(3A) - 27B = 28B - 27B,
105C = 28A-9(7B) = A
Thus,
A = 105C, B = 45C, Put the values
x = 4(105) + 44 = 464, That gives consistent solution.
Therefore, the value of y is found to be 59, the greatest possible integer value for the mean.
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The following figure is made of a square and a rectangle.
What is the perimeter of the figure?
Consequently, the combined perimeter of the square and rectangle in the previous diagram is 36 cm.
What is the perimeter of the quadrilateral?We combine each side's value.
For instance, the typical solution is to multiply the length by two and the width by two, then add the results to determine the perimeter if the quadrilateral is a square, rectangle, parallelogram, or any other shape with two equal opposite sides and angles.
In the given diagram, we can infer that
the diagram is a combination of a square and a rectangle
so for the rectangle:
the perimeter is =2(l+b)
=2(8+5)
=26 cm
so for the square :
the perimeter is =2(side +side):
=2(5+5)
=20cm
to get the total perimeter ,we will add both the perimeters but subtract one side (5cm) because it is common in both the quadrilaterals twice:
so we get:
20+26-10=36cm
Therefore, the perimeter of the preceding diagram of a square and a rectangle combined is 36cm.
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if you know this your smartest person in the world
The height h in feet that a pole vaulter can reach can be estimated using
the formula h = 20, where v is the velocity of the athlete in feet per second.
If the height for a women's pole vault is about 9.8 feet, about how fast was
the holder running? How far will the pole vaulter run in 2 seconds?
Using the numeric value of functions, it is found that the pole vaulter will run 50 feet farther in 2 seconds.
How to find the numeric value of a function/expression?To find the numeric value of a function, we replace each instance of the variable by the desired value.
The formula for the velocity is given as;
v=8√h
where h is the height.
we have the height is of h = 9.8,
hence:
v = 8√(9.8) = 25 feet per second.
The holder was running at the rate of 25 feet per second.
Then, within two seconds, the distance is given as;
d = 25 x 2 = 50 feet.
Hence, The pole vaulter will run 50 feet farther in 2 seconds.
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Consider the relation
The domain of the relation is 2, 5, 3, 6 and 7.
How to find the domain of a relation?The domain of the relation can be found as follows;
The domain of a function is the set of all possible inputs for the function.
The domain are usually the independent variable of a function.
The domain are associated with the x values.
Hence, the domain of the relation is as follows:
domain = {2, 5, 3, 6 , 7}
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I NEED HELP RN WHAT IS (3x2.05+(_x1.09)+(2x_)+(_x_)
The value of the expression is 5x + 3.14
How to evaluate the expression?The expression is given as
(3x + 2.05) + (-x + 1.09) + (2x) + (x)
Open the brackets
So, we have the following equation
(3x + 2.05) + (-x + 1.09) + (2x) + (x) = 3x + 2.05 - x + 1.09 + 2x + x
Collect the like terms
So, we have the following equation
(3x + 2.05) + (-x + 1.09) + (2x) + (x) = 3x - x + 2x + x + 2.05 + 1.09
Evaluate the like terms
So, we have the following equation
(3x + 2.05) + (-x + 1.09) + (2x) + (x) = 5x + 3.14
Hence, the value of the expression given as (3x + 2.05) + (-x + 1.09) + (2x) + (x) is 5x + 3.14
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Possible question
What is (3x + 2.05) + (-x + 1.09) + (2x) + (x)
What is 7 divided by 534
Answer:
0.0131086142
Step-by-step explanation:
I just put in the calculator.
Features of the function f(x)=-log3x+6
The following are the properties of the given logarithmic function f(x) = -log3x+6:
The function's domain is (0, ∞).
The function's range is (-∞, ∞) i.e. the set of all real numbers.
At x = 0, the component shows the presence of a vertical asymptote.
The constant reflects the x-axis logarithm.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
We have been given that the function f(x) = -log3x+6
As per the above function,
The function's domain is (0, ∞).
The function's range is (-∞, ∞) i.e. the set of all real numbers.
At x = 0, the component shows the presence of a vertical asymptote.
The constant reflects the x-axis logarithm.
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write an equation relating cost per student c to number of students n
Answer:
t=n*c where t=total cost
Step-by-step explanation:
26. a)prove that a strictly increasing function from r to itself is one-to-one. b)give an example of an increasing function from r to itself that is not one-to-one.
a) f is strictly increasing function then f is one to one
b) f: R-> R such that f(x) = x^n where n is even is not one to one
suppose that f is strictly increasing function
we have to prove that f is one to one
let us assume f(x1) = f(x2)
we have to prove x1=x2
since f is strictly increasing function
then x2>x1 and x1> x2
this implies that x1=x2
and Hence f is one to one function
b) f:R->R such that f(x) = x^ n where n is even is not one to one
because f(1)= f( -1)
but -1 is not equal to 1 therefore f is not one to one function
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What is the special angle pair relationship between the two
Answer: same side interior angles
Step-by-step explanation:
in scientific notation 8599000000 = 8.559 x 10^z what is the value of x
Answer:
z = 9
Step-by-step explanation:
X is not a valve is it a multiplication sign. I believe that you are looking for the value of z.
To find the value of z you simply have to count how many times you moved the decimal point. In this case you move the decimal point 9 times. Since you move it to the left z is positive. Z=9
there are 6 boys and 14 girls in a class what is the percentage
Answer:
percentage of boys:
6/20x100
=30%
percentage of girls:
14/20x100
=70%
Answer:
Step-by-step explanation:
70%
There are 4 identical triangles, each with an area of 4 square units. When put together, they form a square. What is the side length of the square?
Mrs. Williams made her homemade chicken soup she made 6 3⁄4 cups of soup each servings was 1 1⁄8 cup how many servings are there trying to explain to her how to do it not just give her the answer that it's 6
Answer:
Mrs. Williams made her homemade chicken soup. She made 6 3/4 cups of soup. Each serving size was 1 1/8 cup. = 6
Step-by-step explanation:
this picture below shows how to solve the problem step by step hope this really helps !
what is the ratio for 1/3 kilograms to 2/3 foot
0.5kg per foot
Answer:
Step-by-step explanation:
Analyze the definition below and complete the instructions that follow.
Alaska is the biggest state in the United States of America.
Write the given definition as a biconditional.
A.
A state is Alaska if and only if it is the smallest state in the United States of America.
B.
A state is the biggest state in the United states of America if and only if it is not Alaska.
C.
If a state is Alaska, then it is the biggest state in the United States of America.
D.
A state is Alaska if and only if it is the biggest state in the United States of America.
When written as a biconditional statement, the definition becomes D. A state is Alaska if and only if it is the biggest state in the United States of America.
How to write a biconditional statement?When writing a biconditional statement, you are to combine the statement in question, with the converse of the same equation and then join them by using the words, "if and only if."
This kind of statement lets it be known that if the first statement is correct, then the second definition or statement is correct as well. The biconditional definition here is that a state can only be Alaska if and only if that state is the largest in the country.
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Line of Symmetry
Draw the line of Symmetry for each shape. Write how many
A diver is standing on a diving board 5 1/4 feet above sea level.
He jumps off and dives into the water for a total of 15 1/2 feet.
How far below sea level is the diver?
Answer:
Step-by-step explanation:
5 1/4 feet above sea level minus 15 1/2 will equal the distance the diver is below sea level.
5 1/4 - 15 1/2 = 10 1/4 feet below sea level
Which statement best describes a graph of paired points that form a proportional relationship?
A straight line cannot be drawn through all of the the points, but the line passes through the origin.
A straight line can be drawn through all the points, but the line does not pass through the origin.
A straight line can be drawn through all the points, and the line passes through the origin.
A straight line cannot be drawn through all of the the points, and the line does not pass through the origin.
Answer: A straight line can be drawn through all the points, and the line passes through the origin.
Step-by-step explanation: