The next number in the series 1\325,1\176,1/88,1/44,1/22 is 1/44.
Depending on whether the sequence is finite or infinite, the series might be either infinite or finite.
To find the pattern in the series, we can look at the denominators of the fractions. We can see that the denominators are getting multiplied by 2 in each successive term.
So the next term in the series would have a denominator of 1/11 * 2 = 1/22 * 1/2 = 1/44. Therefore, the next number in the series would be 1/44.
So the complete series is:
1/325, 1/176, 1/88, 1/44, 1/22, 1/44.
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25 3. The area of a rectangular city park is 54 width, in miles, of the park? A TIO B 5 6 square miles. The length of the park is C 54 D 1²/13 mile. What is the
The width in miles, of the park is equal to 5/6 miles.
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width or base of a rectangle.L represents the length or height of a rectangle.Substituting the given points into the area of rectangle formula, we have the following;
25/54 = 5/9 × W
Width, W = 25/54 × 9/5
Width, W = 5/6 miles.
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Complete Question:
The area of a rectangular city park is 25/54 square miles. The length if the park is 5/9 of a mile. What is the width in miles, of the park?
the points of this 3-by-3 grid are equally spaced horizontally and vertically. how many different sets of three points of this grid can be the three vertices of an isosceles triangle?[asy] size(50); dot((0,0)); dot((10,0)); dot((20,0)); dot((0,10)); dot((10,10)); dot((20,10)); dot((0,20)); dot((10,20)); dot((20,20)); [/asy]
The total number of different sets using three points of the grid with three vertices of an isosceles triangle equal 36.
Number of points of 3 by 3 grid are spaced horizontally and vertically equally .
Total number of points present on 3 by 3 grid are 9.
To form an isosceles triangle with two of the equal sides .
Total number of different sets of isosceles triangle are given by :
⁹C₂
= 9! / ( 9 - 2)! 2!
= ( 9 × 8 × 7! ) / 7! 2!
= 36.
Therefore, the number of different sets of isosceles triangle with three vertices on 3 by 3 grid is equal to 36.
The above question is incomplete , the complete question is:
The points of this 3-by-3 grid are equally spaced horizontally and vertically. how many different sets of three points of this grid can be the three vertices of an isosceles triangle?
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A ringtoss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely filled with water. The dimensions of the rectangular prism are shown in the diagram.
What is the volume of the rectangular prism in cubic centimeters?
The volume of the rectangular prism will be 270 cm³. The correct option is B.
What is volume?The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.
The volume of the rectangular prism will be the multiplication of the three parameters which are Length, Width, and Height of the prism.
The volume will be calculated by the formula:-
Volume = L x W x H
Volume = 2 x 9 x 15
Volume = 270 cubic cm
The volume of the rectangular prism will be 270 cm³.
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The complete question is given below and the missing image is attached with the answer below.
A ringtoss toy is composed of a rectangular prism on top of a cylinder.
The rectangular prism is completely filled with water.
The dimensions of the rectangular prism are shown in the diagram.
What is the volume of the rectangular prism in cubic centimeters?
A) 26 cm3
B) 270 cm3
C) 165 cm3
D) 348 cm3
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3, 6)
у:
The equation of the straight line would be -
y = 2x.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a straight line passes through the points (2, 4) and (3, 6).
We can write the slope as -
m = (6 - 4)/(3 - 2)
m = 2/1
m = 2
For the point (2, 4), we can write -
y = 2x + c
c = 4 - 4
c = 0
Therefore, the equation of the straight line would be -
y = 2x.
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Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)
2. Simplify both sides. Show your work. (2 points)
3. Is x = 6 a solution to the equation? Why or why not? (3 points)
4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)
2. Simplify both sides. Show your work. (2 points)
3. Is x = 6 a solution to the equation? Why or why not? (3 points)
4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
Answer:
6 is not the solution. 7 is the solution.
Step-by-step explanation:
5(x -3) = x + 13 Substitute 6 for x
5(6 -3) = 6 + 13
5(3) = 19
15 ≠ 19
6 is not a solution because it results in a false statement. The two sides do not equal each other.
5(x - 3) = x + 13 Distribute the 5
5x -15 = x + 13 Subtract x from both sides
5x - x - 15 = x - x + 13
4x - 15 = 13 Add 15 to both sides
4x - 15 + 15 = 15 + 13
4x = 28 Divide both sides by 4
x = 7
7 is the solution to the equaion.
given the set [1,2,3,5,8,13,21,34,55}, how many integers between 3 and 89 cannot be written as the sum of excatly two elements of the set?
The final count of integers between 3 and 89 that cannot be written as the sum of exactly two elements of the set is 39.
To determine the number of integers between 3 and 89 that cannot be written as the sum of exactly two elements of the set {1, 2, 3, 5, 8, 13, 21, 34, 55}, we can use a process of elimination.
First, we can list all the possible sums of two distinct elements of the set. This gives us a total of 28 sums.
Next, we can identify all the integers between 3 and 89 that can be expressed as the sum of two distinct elements of the set. We can do this by checking each integer between 3 and 89 to see if it can be written as a sum of two elements of the set. If an integer can be written as a sum of two elements of the set, we can cross it off the list.
After eliminating all the integers that can be written as a sum of two elements of the set, we are left with the integers that cannot be expressed as such.
In summary, we can determine the number of integers between 3 and 89 that cannot be written as the sum of exactly two elements of the set by listing all possible sums, identifying the integers that can be expressed as such sums, and eliminating them from the list.
The remaining integers are those that cannot be expressed as the sum of exactly two elements of the set.
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12. The energy E stored in an elastic band varies as the square of the
energy stored
extension x. When the elastic is extended by 3 cm, the
is 243 joules. What is the energy stored when the extension is 5 cm?
What is the extension when the stored energy is 36 joules?
carthworm is thought
a)The energy stored when the extension is 5 cm is given by A = 675 Joules
b) The extension when the energy is 36 Joules is x = ( 2/√3 ) cm
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The energy E stored in an elastic band varies as the square of the energy stored extension x
So , the equation is E = kx²
And , when x = 3 cm , E = 243 Joules
Substituting the values in the equation , we get
243 = k ( 3 )²
9k = 243
k = 27
a)
Now , when the extension x = 5 cm
The energy stored when the extension is E = kx²
On simplifying , we get
E = 27 ( 5 )²
E = 27 x 25
E = 675 Joules
b)
When the energy is E = 36 Joules
E = kx²
36 = 27 ( x )²
On simplifying , we get
x² = ( 36 / 27 )
Taking square roots on both sides , we get
x = ( 6/3√3 ) cm
x = ( 2/√3 ) cm
Hence , the equation is E = kx²
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Pls answer quickly, make sure to answer all parts
Find the area of the region bounded by the line y =3x -6 and line y=-2x+8 and
a) the x-axis. b) the y-axis. c) the line y=6. d) the line x=5.
On solving the provided question we can say that the equations are y = 3x - 6 and y = -2x + 8
What is equation?A mathematical equatiοn is a fοrmula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the twο sentences οn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbοl, fοr instance, 2x – 4 = 2.
the equations are
y = 3x-6
y = -2x+8
3x - 6 = -2x+8
5x -6 = 8
5x = 14
x = 14/5
Now solve for y:
y = 3(14/5) - 6
y = 42/5 - 6
y=42/5 - 30/5
y = 12/5
The position 12/5 is where these two lines cοnverge. The triangle created by these two lines and the x-axis has a height equal to this.
So that we can identify the triangle's base, let's lοcate the roots of these equations (where they contact the x-axis).
Put a 0 in both equations.
(I) 0 = 3x - 6
6 = 3x
x = 2
Set the second equation equal to 0.
(II) y = -2x+8
2x = 8
x = 8/2
x = 4
The triangle has a base between the numbers (2, 0) and (4, 0), giving it a length of two units.
The triangle has a height of 12/5 units.
Area of a Triangle:
A = 1/2bh
A = (1/2) · (2) · (12/5)
A = 12/5
The region between the x-axis that is enclosed by the lines y = 3x - 6 and y = -2x + 8 has a 12/5 unit area.
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In a group of 62 people 27 like cold tea while 42 like hot tea how many people like neither of the two
Answer:7
Step-by-step explanation:
let P(a)=27, like cold tea,
P(b)=42, like hot tea,
P(a∪b)=62,
using formula,
P(a∩b)=P(a)+P(b)-P(a∪b)
=27+42-62
=7
A lemonade recipe calls for 3 cups of water for every 2 cups of mix. This recipe makes 5 cups of lemonade.
If there are 16 cups in a gallon, how many cups of mix will need to be used to make 2 gallons of lemonade?
The number of cups of mix that is needed to be used will be 12.8 cups.
What is the solution to the equation?Any value assigned to a variable that results in equal outcomes, i.e., tends to equalize the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal, is a solution to a formula. To solve a problem, you must find the formula's workable answer.
For every 2 cups of mix in a lemonade recipe, there should be 3 cups of water. Lemonade made with this recipe makes 5 cups.
Let 'W' be the amount of water in gallons and 'M' be the amount of mix in gallons.
Then the equations are given as,
W / M = 3 / 2 ...1
W + M = 2 ...2
From equations 1 and 2, then we have
(3/2)M + M = 2
(5/2)M = 2
M = 4/5
M = 0.80 gallons
We know that in one gallon, there are 16 cups. Then we have
M = 0.80 x 16
M = 12.8 cups
The number of cups of mix that is needed to be used will be 12.8 cups.
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a publishing industry report predicts that magazine subscriptions will drop by 10% each year if this prediction is correct then how many subscribers will a magazine with 98000 subscribers have in 10 years (round to the nearest whole number if necessary)
Rounding to the nearest whole number, the magazine will have 34638 subscribers in 10 years.
What is whole number?
A whole number is a positive integer that doesn't include any fractional or decimal component. Whole numbers include positive integers such as 0, 1, 2, 3, 4, and so on. Whole numbers do not include fractional numbers or decimals, such as 0.5, 1.7, and so on. Whole numbers are used to count items or represent discrete quantities, such as the number of people in a room or the number of apples in a basket.
If the prediction that magazine subscriptions will drop by 10% each year is correct, then in 10 years the number of subscribers for a magazine with 98000 subscribers will be:
98000 * (1 - 0.10)^10 = 98000 * 0.3548 = 34638 subscribers
So, rounding to the nearest whole number, the magazine will have 34638 subscribers in 10 years.
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help me please and thank you.
Answer:
[tex]104 ft^2[/tex]
Step-by-step explanation:
The answer is [tex]104 ft^2[/tex].
Divide the shape into 3 different rectangles. Now we have 2 rectangles that are 5 by 4.
The last rectangle is 16 by 4. (8-4 =4)
This is because 6+5+5=16.
Then you add up the area to get the whole figure.
The two smaller rectangles are 20 each or 40 altogether and the larger rectangle is 64.
When you add it up you get an area of [tex]104 ft^2[/tex]
Which table of values satisfies the linear equation y=−34x −6?
The table of values satisfies the linear equation y = −3x/4 − 6 is: C. table C.
How to determine the solution?In order to determine which ordered pairs are valid and true solutions based on the given linear equation, we would have to test the given ordered pairs by substituting their values into the linear equation as follows;
For ordered pair (-4, -9), we have:
y = −3x/4 − 6
-9 = −3(-4)/4 − 6
-9 = 3 − 6
-9 = -3 (False).
For ordered pair (-8, -12), we have:
y = −3x/4 − 6
-12 = −3(-8)/4 − 6
-12 = 8 − 6
-12 = 2 (False).
For ordered pair (-4, -3), we have:
y = −3x/4 − 6
-3 = −3(-4)/4 − 6
-3 = 3 − 6
-3 = -3 (True).
For ordered pair (0, -6), we have:
y = −3x/4 − 6
-6 = −3(0)/4 − 6
-6 = 0 − 6
-6 = -6 (True).
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Complete Question:
Which table of values satisfies the linear equation y = −3x/4 − 6?
What type of triangle is this triangle?
obtuse scalene
obtuse isosceles
acute scalene
acute isosceles
Answer: obtuse scalene triangle
Step-by-step explanation:
A scalene triangle has three different sides.
An isosceles triangle has 2 of the same sides and 1 different side.
Answer:
Its a obtuse scalene triangle!
A box of cereal states that there are calories in a 3/4
-cup serving. What is the unit rate for calories per cup? How many calories are there in 3cups of the cereal?
120 calories make up one cup amount of calories. Three cups of the cereal have 360 calories in them.
1. Determine how many calories are in a cup: 120 calories are in 3/4 cup; 3/4 cup is 120 calories.
2. Determine how many calories are in 3 cups: 3 cups at 120 calories each equals 360 calories.
You must divide the total amount of calories in a serving of 3/4 cup by 3/4 cup to determine the unit rate for calories per cup of a certain cereal. In this instance, a serving of the cereal that is 3/4 cup in size has 120 calories. As a result, 120 calories are the number of calories in a cup. You must multiply the unit rate for calories per cup (120 calories) by 3 cups to see how many calories are in 3 cups of cereal. This indicates that there are 360 calories in 3 cups of the cereal. In summary, there are 360 calories in 3 cups of cereal, or 120 calories per cup, at the unit rate.
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Cindy likes to skate at a candy store that is due south of her school and due west of her favorite skate park. If the candy store is 6 miles from her school and the straight-line distance between the school and the skate park is 9 miles, how far is the candy store from the skate park? If necessary, round to the nearest tenth
The distance between the candy store and the skate park is about 5.2 miles, with a hypotenuse of 6 miles and a leg of 9 miles, as computed using the Pythagorean theorem.
The candy shop is at the right angle of a triangle made up of Cindy's school, the skate park, and the candy store. Using the Pythagorean theorem, we can calculate the distance between the skate park and the candy shop.
Let's name the separation between the candy shop and the skate park "x" distance. The hypotenuse of the right triangle, the distance between Cindy's school and the candy store, is then 6 miles away, while one of the legs, the skate park, is 9 miles away.
Using the Pythagorean theorem, we can write:
6² = 9² + x²
Simplifying, we get:
x² = 27
Taking the square root of both sides, we get:
x ≈ 5.2
Therefore, The distance between the candy store and the skate park is about 5.2 miles, with a hypotenuse of 6 miles and a leg of 9 miles, as computed using the Pythagorean theorem.
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if written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven.
True False
The statement "if written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven " is true
The given statement is
If written backwards, the number, one thousand, one hundred twenty-five, would be written five thousand, two hundred eleven
We have to check the given statement is true or false
The given number is
One thousand one hundred and twenty five
Write the number in numeric terms
One thousand one hundred and twenty five = 1125
Write the number in backwards
= 5211
Then the number will be
Five thousand two hundred and eleven
Therefore, the given statement is true
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A bag contains 950 marbles. Some are red and some are blue. A student reached into the bag
and pulled out a random sample of 20 marbles. He recorded that 11 were blue and 9 were
red. If this is a representative sample, about how many marbles out of 950 are blue?
Answer: The number of blue marbles in the sample is 11, so the proportion of blue marbles in the sample is 11/20. If the sample is representative, we can use this proportion to estimate the proportion of blue marbles in the whole bag of 950 marbles. So, our estimate of the number of blue marbles in the whole bag is:
950 * (11/20) = 477.5
So, we can estimate that about 478 marbles out of 950 are blue.
Step-by-step explanation:
A baby animal has a mass of
1.5
k
g
.
A few weeks later, the same animal has a mass of
1890
g
.
Find the percentage increase
Two students evaluates the expression 17(4+15). Student a evaluates the expression by adding the product of 17 and 4 to the product of 17 and 15. Student b evaluates the expression by determining the product of 17 and 19. Is each student's evaluation correct or incorrect?
Answer:
Student A is incorrect. Student b is correct.
Step-by-step explanation:
Yes, both students' evaluations of the expression are correct.
What is distributive property?The product of a number by addition is equal to the total of the products of that number by each of the addends, according to the distribution property of multiplication.
Simplify the given expression 17(4 + 15) using the distributive property as:
17(4 + 15) = 17(19) = 323
Student A evaluates the expression by adding the product of 17 and 4 to the product of 17 and 15:
17(4) + 17(15) = 68 + 255 = 323
Thus, student A's evaluation is correct.
Student B evaluates the expression by determining the product of 17 and 19:
17(19) = 323
Thus, student B's evaluation is also correct.
Therefore, both students' evaluations are correct.
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2. ABCD is a parallelogram and AE and CF are the altitudes (Fig. 9.29). Given AB = 12 cm, AD = 6 cm and AE = 7.5 cm. Find ar(ABCD) and the length of CF.
The length of CF is given as 45 cm
How to solve for the length of CFSince AE is the altitude of the parallelogram ABCD, it is perpendicular to the base DC. Similarly, CF is the altitude of the triangle ACD, and it is perpendicular to the base AD.
Let's use the properties of parallelograms and triangles to solve for the area and length of CF.
Since ABCD is a parallelogram, we know that opposite sides are parallel and equal in length. Therefore, BC = AD = 6 cm.
To find the area of the parallelogram, we can use the formula:
ar(ABCD) = base × height
We can choose any base and height, as long as they form a right angle. Since we know AE is the altitude of the parallelogram, we can use it as the height. Let's choose base AB, which is perpendicular to AE. Therefore,
ar(ABCD) = AB × AE = 12 cm × 7.5 cm = 90 cm²
So, the area of the parallelogram ABCD is 90 cm².
Now, let's find the length of CF. Since CF is the altitude of the triangle ACD, we can use the formula for the area of a triangle:
ar(ACD) = 1/2 × base × height
where the base is AD and the height is CF. We know the area of the triangle ACD is half the area of the parallelogram ABCD, which is 90/2 = 45 cm². Therefore,
45 cm² = 1/2 × 6 cm × CF
Simplifying this equation, we get:
CF = (45 cm² × 2) / (6 cm) = 15 cm
So, the length of CF is 15 cm.
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PLEASE!!! Someone, please help test tomorrow!! Just explain how to get this please!
The correct value of the expression is,
⇒ (2²)³ - (8 - 4)² × 4 = 0
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ (2²)³ - (8 - 4)² × 4
Now, We can solve as;
⇒ (2²)³ - (8 - 4)² × 4
⇒ (4)³ - (4)² × 4
⇒ 4³ - 4³
⇒ 64 - 64
⇒ 0
Thus, We get;
⇒ (2²)³ - (8 - 4)² × 4 = 0
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The red triangle is a dilation of the blue triangle, with scale factor, k =
1.5.
Use the hotspots to fill in the missing measurements and similarity
statement.
R
20 cm
44°
S
Vide
26 cm
scale factor, k =
15
N
ARSTA
ange
1.5
57 cm
side
44°
121°
L
M
1. 121 degree. 2. 15 degree. The side of the dilated triangle increases by scale factor. Here, 1.5, thus: 3. LM = (20)(1.5) = 30 4. MN = 26(1.5) = 39 5. RT = 57/1.5 = 38. 6. Triangle RST is congruent to triangle LMN.
What is transformation?Transformations involve the reflection, refraction, or translation of forms on a coordinate plane. Felix Klein put forth a novel perspective on geometry in the 19th century called transfinite geometry. The majority of geometric principles depend on the transmissions of objects.
Transfrmatiions enable the modification of any image in a coordinate plane. You can better understand the graphics in video games by using the mathematical laws of transmission.
As a result, the red triangle is a dilation of the blue triangle.
When triangle is dilated the angles remain the same. Thus,
1. 121 degree.
2. 15 degree.
The side of the dilated triangle increases by scale factor. Here, 1.5, thus:
3. LM = (20)(1.5) = 30
4. MN = 26(1.5) = 39
5. RT = 57/1.5 = 38
6. Triangle RST is congruent to triangle LMN.
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FULL ANSWERS ONLY AND SHOW WORK
For each of the three expressions, rationalize the denominator and simplify. Show all steps needed to get the answer.
1)
5/4- srt3
a) What is the conjugate of the denominator?
b) Use the conjugate to rationalize the denominator. What is the simplified answer after rationalizing? Use ‘sqrt’ for square root as needed.
2.
a) What is the conjugate of the denominator?
b) Use the conjugate to rationalize the denominator. What is the simplified answer after rationalizing? Use ‘sqrt’ for square root as needed.
3.
a) What is the conjugate of the denominator?
b) Use the conjugate to rationalize the denominator. What is the simplified answer after rationalizing? Use ‘sqrt’ for square root as needed.
Answer:
Step-by-step explanation:
The simplified expression after rationalizing the denominator are:
1) (17 + √3)/13.
2) -3(2+√5)/5.
What is rationalizing the denominator?
To rationalize the denominator with two terms, find the conjugate of the denominator. Then multiply and divide the fraction by the conjugate of the denominator.
1).
a) The conjugate of the denominator is 4 + √3.
b) To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator:
(5/4 - √3) * (4 + √3) / (4 + √3) * (4 - √3)
Simplifying the numerator:
5(4) + 5(√3) - 4(√3) - 3 / 13
= (17 + √3)/13
Therefore, the simplified expression after rationalizing the denominator is (17 + √3)/13.
2).
a) The conjugate of the denominator is 1 - √2.
b) To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator:
2 / (1 - √2) * (1 + √2) / (1 + 2)
Simplifying the numerator:
2(1 + √2) / (-1 + 2)
= -2(1 + √2)
Therefore, the simplified expression after rationalizing the denominator is -2(1 + √2).
a) The conjugate of the denominator is 2 + √5.
b) To rationalize the denominator, we need to multiply both the numerator and the denominator by the conjugate of the denominator:
3 / (2 - √5) * (2 + √5) / (2 + √5)
Simplifying the numerator:
3(2 + √5) / (-5)
= -3(2+√5)/5.
Therefore, the simplified expression after rationalizing the denominator is -3(2+√5)/5.
Hence, the simplified expression after rationalizing the denominator are:
1) (17 + √3)/13.
2) -3(2+√5)/5.
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a student measures the mass of a rock three times using the same properly calibrated analog (not digital) balance and gets slightly different values: 22.46g, 22.42g, and 22.44g. what type of error may have occurred here (systematic and/or random)? how would the student minimize the impact of this error during data analysis?
The errors that may have occurred in the student's measurements are random errors. These types of errors can arise from various sources, such as slight variations in measurement techniques or environmental factors.
Since the measured values are slightly different, it suggests that random errors affected the measurements rather than systematic errors, which would result in consistently incorrect measurements.
To minimize the impact of random errors during data analysis, the student can calculate the average of the three measured values. The average value can serve as the best estimate of the true value of the mass of the rock. Additionally, the student can calculate the standard deviation of the measured values to determine the precision of the measurements. The smaller the standard deviation, the more precise the measurements.
The student can further minimize random errors by taking multiple measurements and averaging them to obtain a more accurate value. Additionally, using a digital balance instead of an analog one may reduce random errors as digital balances have greater precision and accuracy.
It is also important for the student to use proper measurement techniques such as ensuring that the balance is calibrated and zeroed correctly before each measurement. The student should also avoid applying excessive force on the balance and ensure that the rock is stable and level during measurement.
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Mark and jada share 5 yards of ribbion equally how much ribbon will each one get
If Mark and jada share 5 yards of ribbon equally, then each one will get 2.5 yards of ribbon using division method.
When Mark and Jada share 5 yards of ribbon equally, it means that they will divide the total amount of ribbon equally between the two of them. This is a common type of problem in mathematics that involves dividing a given quantity equally among a certain number of people or objects.
To solve this problem, we used the division operation to divide the total amount of ribbon (5 yards) by the number of people who are sharing it (2). The resulting quotient (2.5 yards) represents the amount of ribbon that each person will receive.
Using the division operation, we can write,
5 yards ÷ 2 = 2.5 yards
This problem illustrates an important concept in mathematics: the division of quantities into equal parts. This concept is used in many real-world applications, such as dividing up a pizza among a group of people or allocating resources in a company among different departments or teams.
Understanding how to divide quantities into equal parts is an important skill that can be applied in many different contexts, making it a valuable mathematical concept to learn and understand.
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Select ALL the ordered pairs that are solution to the following system. (There are several correct answers. Find them all.) Select the ordered pair that are solution to the following system:
2x + 3y>10
y≥ -3x + 2
(ordered pairs)
(15, -1) (0, 0) (-6, 1) (-2, 8) (15,-20) (0,4) (10, 30) (8,-2) (5, 5) (1, 10)
The ordered pairs that are solution to the system are (15, -1) (0,4) (10, 30) (5, 5) (1, 10)
How to determine the ordered pair that are solution to the systemFrom the question, we have the following parameters that can be used in our computation:
2x + 3y>10
y≥ -3x + 2
Represent properly
2x + 3y > 10
y ≥ -3x + 2
Next, we make a plot of the system to determine the solution
The shaded area in the plot represent the solution to the inequality
In this case, the coordinates in the shaded area are
(15, -1) (0,4) (10, 30) (5, 5) (1, 10)
None of the options represent the shaded area (see attachment)
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suppose you want to fence a rectangular soccer field site that has its length equal to three times its width. the fencing for the east and west sides costs $6 per foot, and the fencing for the north and south sides costs only $3 per foot. find the total cost of the fencing as a function of the length of a side x (feet).
The total cost of the fencing can be expressed as a function of x: C(x) = $24x.
Let's assume that the width of the soccer field is x feet. Then the length of the soccer field is 3x feet.
The east and west sides have a combined length of 3x feet, and the cost per foot of fencing is $6, so the total cost for the east and west sides is $6 * 3x = $18x.
The north and south sides have a combined length of 2x feet, and the cost per foot of fencing is $3, so the total cost for the north and south sides is $3 * 2x = $6x.
The total cost of the fencing is the sum of the cost of the east and west sides and the north and south sides: $18x + $6x = $24x.
So, the total cost of the fencing can be expressed as a function of x: C(x) = $24x.
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3x+2y=9
2/3y=3-x
What’s the solution
Answer:
2y=9-3x. 2=(3-x)3y
2=(9-3x)/y......1 2= 3y(3-x)..........2
Combining equations 1 and 2;
9-3x=3y²(3-x)
3(3-x)=3y²(3-x)
y²=1
y=√1
y= ±1
Scatter plot, 8 grades help please!!!
Answer:
600 calories
Step-by-step explanation:
The problem asks us to use the given trend line to find how many calories are burned after 40 minutes. The trend line is the slope of the graph that is given, so all that we have to do is find 40 minutes on the x axis, and then find the point on the slope in the given graph that has an x value of 40, and this point ends up being (40, 600). This means that in 40 minutes, 600 calories are burned.
