The complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
How to complete the arithmetic sequence?The arithmetic sequence is given as:
1, .25, blank, -1.25, blank
Replace the blanks in the arithmetic sequence with x and y
So, we have:
1, .25, x, -1.25, y
An arithmetic sequence has a common difference (d)
The common difference is calculated using
d = T2 - T1
So, we have
d = 0.25 - 1
d = x - 0.25
d = y + 1.25
Substitute d = x - 0.25 in d = 0.25 - 1
x - 0.25 = 0.25 - 1
This gives
x = 0.25 + 0.25 - 1
Evaluate the sum
x = -0.5
Substitute d = 0.25 - 1 in d = y + 1.25
0.25 - 1 = y + 1.25
This gives
y = 0.25 - 1 - 1.25
Evaluate
y = -2
Hence, the complete arithmetic sequence is 1, .25, -0.5, -1.25, -2
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A bag contains 3 blue chips, 7 red chips, 4 yellow chips, and 5 green chips. A chip is randomly drawn from the bag. Find probability.
P (yellow)
The probability, P (yellow), that a yellow chip is drawn from the bag is 4/19.
Probability is a term used in mathematics to determine the likelihood that an incident will take place as in this case is the likelihood that a yellow chip is drawn from the bag.
Probability can be given by the formula:
probability= Number of favorable outcomes ÷ Total number of possible outcomes
Hence, in this problem, the formula for probability will be:
P (yellow) = Number of yellow chips / Total number of chips in the bag
The total number of chips in the bag will be equal to the sum of the chips of all colors.
That is, total number of chips = 3 blue chips + 7 red chips + 4 yellow chips + 5 green chips
Total number of chips = 19 chips
So the probability of a yellow chip being drawn out will be:
P ( yellow) = 4/19
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Which expression is equivalent to 4(−3.7b − 3.1) − (4b + 0.4)?
18.8b + 2.7
−18.8b − 2.7
18.8b − 12.8
−18.8b − 12.8
Answer:
D. −18.8b−12.8
Step-by-step explanation:
4(−3.7b − 3.1) − (4b + 0.4)
Use distributive property.
4(−3.7b − 3.1) − (4b + 0.4)=
=−14.8b−12.4−4b−0.4
Combine like terms.
14.8b−12.4−4b−0.4=
=−18.8b−12.8
Hope this helps!
Please mark as brainliest if correct!
Answer:
D
Step-by-step explanation:
i had this question and got it right
Use words to write the following number: 504,327.001510512
504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.
We are given the number:
504,327.001510512
We have to write the given number in words.
We will do this by following the International Number System.
In mathematics, the international number system refers to a representation of numbers which are divided into periods and placed according to their place values. The periods in the international numeral system goes like ones, thousands, millions, billions, and so on.
So, we will write this number as:
Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.
Therefore, 504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.
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Does anyone know this answer???
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A (- 6, - 5 ) and (x₂, y₂ ) = B (- 4, - 8 )
m = [tex]\frac{-8-(-5)}{-4-(-6)}[/tex] = [tex]\frac{-8+5}{-4+6}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
Tom travelled at constant speed of 147 km/h for 3 hours.
Find the distance Tom has travelled.
0
Submit Answer
km
Answer:
441km
Step-by-step explanation:
hope this works :)
just simplify help for math
Answer:
156
Step-by-step explanation:
Find the length of a rectangle with a perimeter of 32 meters and a width of 5 meters
Answer:
Length is 11 meters
Step-by-step explanation:
Formula we use,
→ P = 2(l + w)
Then the length of rectangle will be,
→ 32 = 2(L + 5)
→ 2L + 10 = 32
→ 2L = 32 - 10
→ L = 22/2
→ [ L = 11 m ]
Hence, the length is 11 meters.
What does the symbol BC represent
Answer:
Step-by-step explanation:
The answer is postulate. That is a rule that is accepted as true without proof.
of the 505050 u.s. states, 444 have names that start with the letter \text{w}wstart text, w, end text. what percentage of u.s. states have names that start with the letter \text{w}wstart text, w, end text?
The required percentage of US states having their names starting with W is 8 %. This is gained by using the concept of percentage.
What do you mean by percentage?
The percentage is usually denoted by the symbol '%'. It is defined as the quantity or ratio which is being expressed in a fraction of 100, where 100 is the denominator.
Calculation of the percentage of US states having their names starting with W
Given:
Total states in US = 50
US states that start with the letter W = 4
Fraction in favour of the names of states starting with the letter W is given by = 4 / 50
Therefore the percentage of US states having their names starting with the letter W is equal to the fraction in favour * 100 %
= 4 / 50 * 100 %
= 4 * 2 %
= 8 %
Hence, the percentage of US states having their first letter as W is 8 %.
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Which pair of figures shows two shapes that each have opposite sides of equal length?
The box with rhombus and rectangle are the two shapes that each have opposite sides of equal length.
In the options given, the first box has a rhombus and a rectangle.
We know that a rhombus has all four sides of equal length.
This means that opposite sides are of equal length.
We also know that a rectangle has opposite sides of equal length.
In this option, both of them have opposite sides of equal length.
So, this is the correct answer.
The second box has a quadrilateral and a trapezoid.
The trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
A quadrilateral is a two-dimensional shape that has 4 sides.
In this option, both shapes do not have opposite sides of equal length. So, this is not the right answer to the given question.
The third box has a trapezoid and a parallelogram.
A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
We know that a parallelogram has opposite sides of equal length.
In this option, one shape has opposite sides equal but not the other.
So, this is not the right answer to the given question.
The fourth box has a rhombus and trapezoid.
We know that a rhombus has all four sides of equal length.
This means that opposite sides are of equal length.
A trapezoid is a quadrilateral with one pair of opposite sides parallel, but the length of the sides is not equal. A trapezoid might have right angles, then it is called a right trapezoid.
In this option, one shape has opposite sides equal but not the other.
So, this is not the right answer to the given question.
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To show -1 + (-6) on the number line, which directions would you move? A right one unit, then left six units B left one unit, then right six units C right one unit, then right another six units D left one unit, then left another six units
Answer: to the left -7
Step-by-step explanation: -1 + -6 = -7
D) Left one unit, then left another six units.
-1 + (-6) = -7
mrs.wendell has a farm with a hard of 159 cows. the weights of her cows are shown in the histogram. mrs. wendell sells all the cows that weigh between 800 and 1199 pounds approximately what percent of her cows does ms. wendell sell?
According to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
What exactly is a histogram, and why is it useful?A popular charting tool is a histogram. On an interval scale, it is used to describe either discrete or continuous data. It is widely used to show the key properties of distribution of the data in an easy-to-understand fashion.
How do you interpret a histogram?Examine the histogram to see if it shows a normal distribution. Once you've plotted all of the frequencies here on the histogram, it will take on a shape. If the shape resembles a bell curve, it indicates that perhaps the frequencies are evenly distributed. A peak would appear on the histogram.
Briefing:Ms. Wendell sells 25% of her her cows. While purchasing a cow, it is important to remember that weight is an important factor. While there may be some exceptions, the majority of cows sold in the United States weigh between 800 and 1200 pounds.
So, if your farm falls within this range, it would be wise to consider buying a cow from Mrs. Wendell .
Additionally, based on these numbers alone, it would make sense for you to purchase one or more cattle from Mrs. Wendell.
Therefore,
according to Mrs. Wendell 's histogram (shown below), 25% of her cows weigh between 800 and 1199 pounds.
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a piece of wire 100 inches long is cut into two pieces and each bent into the shape of a square. if the sum of the areas of the two squares is 400 in2, find the length of each piece of wire.
For the given wire, the length of each piece of wire will be 76inch and 24 inch and quadratic equation will be x² - 100x + 1800 = 0
What is a quadratic equation?An algebraic equation of a second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
Given,
Length of wire = 100 inches
Sum of the areas of two squares = 400 inch²
let length of one wire - x
the length of other wire will be - 100-x
Now, the area of the square = Side²
⇒ (x/4)² + ((100 - x)/4)² = 400
⇒ (1/4)² (x² + 10000 + x² - 2(100)(x)) = 400
⇒ 10000 + 2x² + - 200x = 400 × 16
⇒ 2x² - 200x = 6400 - 10000
⇒ 2x² - 200x = - 3600
⇒ x² - 100x + 1800 = 0
⇒On solving for the value of x, we have x= 76 and 24
Now,
76/4 = 19,
24/4 = 6
So, we have the length of each wire as 76inch and 24inch
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Find the coordinates of the centroid of the triangle with the given vertices. (Lesson 5-2)
A(1,7), B(4,2), C(7,7)
The triangle with vertices located at A(1 , 7), B(4 , 2), and C(7 , 7) has its centroid located at (4 , 16/3).
The centroid of a triangle is the point inside the triangle where the three medians intersect. The median of a triangle is the line the connects the midpoint of a side and the opposite vertex.
To get the centroid of a triangle, use the formula given by:
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
where C is the centroid of the triangle located at (x , y)
x1, x2, and x3 are the x-coordinate of the vertices of the triangle
y1, y2, and y3 are the y-coordinate of the vertices of the triangle
Let Point 1(x1 , y1) = A(1 , 7)
Point 2(x2 , y2) = B(4 , 2)
Point 3(x3 , y3) = C(7 , 7)
Plug in the values in the formula.
C(x , y) = [(x1 + x2 + x3)/3 , (y1 + y2 + y3)/3]
C(x ,y) = [(1 +4 + 7)/3 , (7 + 2 + 7)/3]
C(x ,y) = (12/3 , 16/3)
C(x ,y) = (4 , 16/3)
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Hellpp asappp broooooo
4n square + 5n - 636 split the middle term
Step-by-step explanation:
4n² + 5n - 636
splitting the middle term
4n² + 53n - 48n - 636 = 0
n(4n + 53) - 12(4n + 53) = 0
(n - 12) (4n + 53) = 0
n = 12 and n = -53/4
What are numbers using exponents are called?
Answer:
The number that gets raised, or multiplied by itself, is called the base. The number of times it is multiplied is called the exponent. Together this is called power.
let r be a relation defined on set s where s is the set of all people in usa, and x r y means that x and y can communicate using the same spoken language. the relation r on s is reflexive.
Based on the information illustrated,
the relation r on s is reflexive. Therefore, it's true.
How to explain the information?If every component of a set X is related to one another, then a relation R over that set is said to be reflexive.
If (a, a) R for all A, that is, if every element of A is R-related to itself, or if aRa for every a A, then R is set to be reflexive.
In the example question, S is the set of all Park students, and R is a relation over S.
When a relationship is described as xRy, it signifies that x and y have the same biological mother.
This relation is obviously a reflexive relation. xRx means x and x has the same biological mother. In this case, the relation satisfies the requirement for all aR (a,a) R.
Therefore, it's true.
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Simplify. Express your answer using positive exponents. (7t)(5t8)
Answer:
280t^2
Step-by-step explanation:
(7t) (5t x 8)
(7t) (5x8t)
(7t) (40t)
280t^2
Hope this helps u ; )
In simplified form, the square root of 18 is _____. i need help ASAP i will give brainliest
The Answer is 4.25
hope fully this helps
Answer:
√18 = 3√2
Step-by-step explanation:
√18
√(9×2)
√9 × √2
3 ×√2
= 3√2
i need drawing ideas
Answer:
Try drawing whatever makes you feel satisfaction or happiness. There is inspiration all around you. :)
LIST ON WHAT TO DRAW
just draw something colourful
draw something you that you like or admire
or if my options aren't helpful just look for something at the internet
draw anything that you might be in your mind
HOPE IT HELPS
Molly us playing softball. Early in the game she has 12 catches. For the game Molly had -5 catches. How many catches did she drop?
(50 POINTS)
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Based on the figure on the graph, match the described transformations with the transformed figures.
reflected across the x-axis
rotated 180° clockwise
translated 9 units to the
right and 2 units down
reflected across the y-axis
The translations for this problem are given, respectively, by:
translated 9 units to the right and 2 units down.reflected across the x-axis.reflected across the y-axis.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For the first translation, the orientation remains the same, just the positions changes, hence it is translated 9 units to the right and 2 units down.
For the second translation, the rule applied to each vertex was:
(x,y) -> (x,-y).
Hence it was reflected across the x-axis.
For the third translation, the rule applied to each vertex was:
(x,y) -> (-x,y).
Hence it was reflected across the y-axis.
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which description best explains the domain of ? the elements in the domain of f(x) for which g(f(x)) is defined
According to the given data the domain of g[f(x)] is all real numbers.
√2 and -√2.
The correct option is 1.
What is domain?The collection of potential inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The collection of things that the machine will accept as inputs is known as the domain in the function machine paradigm.
According to the given information:We will respond to this question using two functions:
f(x) = x² and g(x)
= x²/ x-2
Because the domain of f(x) is the set among all real numbers,
Except for 2, the domain of g(x) is all real integers.
Now
g[f(x)]= g(x²)
= x²/ x-2
Except for real numbers, the domain of g[f(x)] is all real numbers.
√2 and -√2.
The following is the best definition of the domain of g[f(x)]:
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I understand that the question you are looking for is:
Which description best explains the domain of (g(f(x))?
the elements in the domain of f(x) for which g(f(x)) is definedthe elements in the domain of f(x) for which g(f(x)) is not zerothe elements in the domain of g(x) for which g(f(x)) is definedthe elements in the domain of g(x) for which g(f(x)) is not zeroStocks ms. patel invested a total of $825 in two stocks. at the time of her investment, one share of stock a was valued at $12.41 and a share of stock b was valued at $8.62. she purchased a total of 79 shares. select the system of equations that model the situation. solve by using substitution.
Ms Patel purchased 38 shares of stock a and 41 shares of stock b
Total amount invested in the two stocks = $825
Value of stock a = $12.41
Value of stock b = $8.62
Let the number of shares of stock a be x
Let the number of shares of stock b be y
Therefore, forming the equation we get:
x + y = 79------(1)
12.41x + 8.62y = 825
1241x + 862y = 82500 ------(2)
Multiplying equation (1) by 862 we get,
862x + 862y = 68098------(3)
Equating equations (2) and (3) we get
379x = 14402
x = 38
Putting x = 38 in (1) we get
y = 41
Hence, she purchased 38 shares of stock a and 41 shares of stock b
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Can anyone help me with this?
[tex]Draw\ \overline {AB}\perp\overline {CD}\ at\ point \ A.[/tex]
Select the correct answer.
What is the effect on the graph of f (x) = |z|when the function is changed to g(x) = |(z −1)|?
OA
SO B.
OC.
OD.
The graph is stretched vertically and shifted up 1 unit.
The graph is compressed horizontally and shifted down 1 unit.
The graph is stretched horizontally and shifted 1 unit to the right.
The graph is compressed vertically and shifted 1 unit to the left.
The graph of f (x) = |z| is changed to g(x) = |(z −1)| means; The graph is stretched horizontally and shifted 1 unit to the right.
What is the transformation of the graph?
Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightNow, we are told the the graph of f (x) = |z| is changed to g(x) = |(z −1)|. This denotes a transformation of moving 1 unit to the right
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A Carpenter started with a board that was 31 inches long. He cut 2 pieces that were each 3 inches long. He then cut 3 pieces that were each 8 inches long
How many inches of the board is left
PLEASE HELP
Answer:
3 + 3 = 6
8 + 8 + 8 = 24
24 + 6 = 30
31 - 30 = 1
1 inch of the board is left
Given a number is a whole number, write an expression to describe the preceding whole number.
The expression which represents a whole number which is the preceding number to a whole number x is; x-1.
What are whole numbers?Whole numbers are a class of numbers which are otherwise termed, Integers. Furthermore, Integers number values include, 1, 5 and -3 among a host of other numbers.
Hence, if the actual number is; x, then it follows that the number which precedes x is such that it is less than x by 1 unit.
Ultimately, the required preceding number is; x-1.
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HRLP ASP U WILL GET BRAINLEST
Hello,
[tex]If \: A = \frac{1}{2} bh \: we \: have \: b = \frac{2A}{h} [/tex]