4. Which expression results in a rational number?
a) 3.6
b) 24.2
c)2.32
d) 5.6
Answer:
A
Step-by-step explanation:
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Question 1 (Multiple Choice Worth 2 points)
(Effects of Changes in Data MC)
The heights of 11 plants, in inches, are listed.
14, 15, 16, 16, 17, 17, 17, 18, 18, 19, 22
If another plant with a height of 14 inches is added to the data, how would the range be impacted?
The range of the data is the difference between the highest and lowest values, which is 8 inches. Adding another plant with a height of 14 inches would not change the range, so the range would remain 8 inches.
What is data?Data is a collection of facts, figures, or information that can be processed and used to draw conclusions or make decisions. It can be stored in a variety of formats, including numerical, text, images, audio, and video. Data can be collected from a variety of sources, such as surveys, observations, experiments, or transactions. It can be used to inform decisions in areas such as business, health care, education, and research. Data can be analyzed to gain insight, develop strategies, identify trends, and make predictions. Data is a valuable resource and is increasingly important in today's digital age.
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7,11,2,18,-7,?
What is the missing pattern?
Answer:
-11 will be the answer.
Step-by-step explanation:
the pattern 7,11,2,18,-7,? is a repeating pattern but at the end the number is changed to -7 so if you go and check the Identity, if the order of number given is ascending ( smaller to larger number) or descending ( larger to smaller number), Calculate the differences between those that are next to each other. Estimate the difference between numbers to calculate the missing number.
A sequence is a list of things in which repeats are permitted and order is important. The last term of the missing pattern is 57.
What is a sequence?A sequence is a list of things in which repeats are permitted and order is important. It has members, just like a set. The length of the sequence is defined by the number of items.
In the given sequence, the difference between the first two-term is 4, while in the next two-term is 16(4²), Therefore, in the next two-term, the difference between the two terms will be equal to 64(4³).
Therefore, the last term will be,
\(x-(-7)=64\\\\x+7=64\\\\x=64-7\\\\x=57\)
Hence, the last term of the missing pattern is 57.
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A general contractor ordered three different sized windows to complete a job on a residential home. She ordered a bow window that cost $874; one 36" x 36" double-hung window that cost $67; and one 36" x 54" double-hung window that cost $93. If she had set aside $1,250 to purchase the windows in her estimate, how much will she have left after buying them
The contractor will have the amount of $216 left after buying the three windows.
What are Arithmetic operations?Arithmetic operations are a collection of four important operations that may be manipulated to add, subtract, multiply, or divide two or more values.
She ordered a bow window for $874, a 36" x 36" double-hung window for $67, and a 36" x 54" double-hung window for $93.
The cost of the three windows is:
= $874 + $67 + $93
Apply the addition operation to get total cost:
= $1034
Therefore, after buying the windows, the contractor will have:
= $1,250 - $1,034
Apply the subtraction operation to the leftover amount:
= $216 left.
So, the contractor will have $216 left after buying the three windows.
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what percent of 125 is 250?
what percent of 45 is 9?
what percent of 250 is 100?
what percent of300 is 75?
1) 250÷125=2×100=200%
2) 9÷45= 0.2×100= 20%
3) 100÷250=0.4×100=40%
4) 75÷300=0.214×100=21.4%
What cultural effect did Napoleon have on Europe?
A.) Napoleon changed culture in Europe by building French art schools throughout Eastern Europe and Spain.
B.) Napoleon spread ideas from the French Revolution throughout Europe, leading to national unity outside of France.
C.) Napoleon impacted European culture by ending monarchies and establishing Communist governments.
D.) Napoleon affected culture by expanding education throughout Europe, leading to a rise in literacy among the wealthy.
Answer:
C.
Step-by-step explanation:
B. is your answer
≈Godbless
A rectangular prism has a base that is 1.5 meters by 2 meters, and the prism is 4 meters
high. What is the surface area of the prism?
A 28 m
C 12 m2
B 34 m2
D 31 m²
Answer:
The answer is C. 12 m2
Step-by-step explanation:
Hope this helps!! :) :) Please mark brainlliest.
Question 4 of 10
Which situation best illustrates the concept of absolute advantage?
A. A German factory can build more sports cars than foreign factories.
B. Most of the world's largest companies have operations in many different countries.
C. The total value of Japanese imports is greater than the total value of the country's exports.
D. A French restaurant buys food from nearby farms to support the local economy.
Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.
Absolute advantage is the potential of an individual, a company, or a country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.
A factory in German has an absolute advantage because it can produce more sports car than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.
Therefore, the correct answer is option A.
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3 6 9 12 15 18 21 24 27 30 is odd or even numbers?
Answer: Half of them are even and half of them are odd.
Step-by-step explanation:
The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.
The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.
Therefore, out of the given numbers, half of them are even and half of them are odd.
________________________________________________________
present ages of two children are 2 and 5 years the rspectively. After how long will the sum of their square ages be 45.
Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.
Calculating the duration to get the sum to 45Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.
Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;
let x represent the number of years from now when the sum of square of their respective age will be
45.(x + 2)² + (x + 5)² = 45
Expanding the brackets;
x² + 4x + 4 + x² + 10x + 25 = 45
2x² + 14x + 29 = 45
2x² + 14x + 29 - 45 = 0
2x² + 14x - 16 = 0
Solving the quadratic equation for x;
x = 1, x = -8
Taking the positive value, the value of x is 1
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Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answer:
Step-by-step explanation:
Suppose that in a random sample of size 200, standard deviation of the sampling distribution of the sample mean 0.08. researcher wanted to reduce the standard deviation to 0.04. what sample size would be required?
Answer:
400
Step-by-step explanation:
The computation of the sample size needed is shown below:
Since at the sample size of 200 there is a standard deviation of 0.08
But when the standard deviation is 0.04 so the sample size is 400
As sample standard deviation would be inversely proportional to the square root of the sample size
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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can somebody PLEASE help me with this question i’m begging and i’ll give brainlist
The missing values are:
angle DGE = 45 degrees
angle EDG = 85 degrees
FD = 10
GD = 10√2
EG = (20 + 13√3) / 2
How to find the missing sidesThe missing sides in the figure is solved as follows
angle DGE = angle BAG = 45 degrees (alternate angles are equal)
angle EDG = angle ADC (vertical angles are equal)
angle ADC + 45 + 50 = 180 (sum of angles in a triangle)
angle ADC = 180 - 50 - 45
angle ADC = 85 degrees
Since DGE = 45 degrees and FG = 10
tan 45 = FD / FG
tan 45 = FD / 10
FD = 10
solving for GD
GD² = FD² + FG² = 10² + 10² = 200
GD = 10√2
solving for EG
EG = EF + FG
cos 50 = EF / 13
EF = 13 cos 50 = 13√3 / 2
EG = EF + FG = 13√3 / 2 + 10 = (20 + 13√3) / 2
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A crate of egg cartons holds 8 cartons
of eggs. Each carton has a dozen
eggs. How many eggs are in 5 crates?
Answer:
480 eggs
Step-by-step explanation:
Given;
A crate of egg cartons holds 8 cartons of eggs.
Each carton has a dozen eggs.
To Find;
How many eggs are in 5 crates?
Note;
Dozen eggs = 12 egg
Solve;
Thus, Dozen eggs × Carton of eggs × many eggs are in crates
→ 12 × 8 × 5
→ 96 × 5
→ = 480
[RevyBreeze]
Last month the amount on Jaden's bank account statement went from $200 to $150.
What was the percent change?
Answer:
That is a 25% change.
Step-by-step explanation:
What is the total volume of this composite shape? Round your answer to the nearest tenth.
Select the correct answer.
Solve the following equation for x.
x2 - 36 = 0
A.
x = 1; x = -36
B.
x = -1; x = 36
C.
x = -6; x = 6
D.
x = -18; x = 18
Answer: D
Step-by-step explanation:
2x-36=0
+36 +36
___________
2x=36
x=18
Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.
Draw an angle in standard position such that the terminal side passes through the given point. (7, 4)
we have the point (7,4)
the x-coordinate and the y-coordinate are positive numbers
that means
The point lies on the First quadrant
see the figure below to better understand the problem
the value of the angle θ is equal to
tanθ=4/7
θ=29.7 degrees
Which values are possible rational roots of 9x3+14x2−x+18=0 according to the rational root theorem? Select each correct answer.
The possible roots of the cubic polynomial 9x³ + 14x² - x + 18 are 1, 2, and 3.
What is the rational root theorem?The rational root theorem explains how a polynomial's roots and coefficients are related. It explains the kind of rational roots that the polynomial might have in particular.
According to the rational root theorem, the possible roots of a polynomial of degree three and above are,
± (coefficient of the last term)/(coefficient of the first terms).
Given, A polynomial 9x³ + 14x² - x + 18 it is a cubic polynomial so it should have three roots they could be,
The factors of the constant term divided by the factors of the first terms,
So, 18 has factors ± (1, 2, 3, 6, 9, 18) and 9 has factors ± (1, 3, 9).
So, The possible roots are ± (1, 2, 3) and so on.
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The area of a rectangle is 12x2 - 8x - 15. The width is (2x - 3). What is the length of the
rectangle?
a. (6x - 5)
b. (6x + 5)
C. (2x - 3)
d. (2x + 3)
What is the volume of David’s box?
Answer:
H - 6x^7y^15
Step-by-step explanation:
Volume of a rectangular prism (box) is l x w x h
3x^2y^4 * 4x^2y^5 * 1/2x^3y^6
= 6x^7y^15
Which situation would most likely show a positive association?
O A. the age of a car and its resale value
O B. the weight of a dog and the amount of food it eats per day
o C. the number of minutes exercised per day and a person's weight
o D. the amount of time a boy plays video games and his grade in math
Answer:
B. the weight of a dog and the amount of food it eats per day.
This is because dogs only eat around 1/3 of their body weight a day, hence the dogs weight having a positive comparison value to the weight of the food that it eats.
Hope this helps!
Answer: B
The table shows the number of yearbooks sold and the price needed to cover the costs of printing. What function models the data?
The data modelling function is Price required to recoup printing expenses is equal to 0.1 * (numbers of yearbooks sold) + 45.
What is an annual?A yearbook is a collection of images and text that is issued by an organisation once a year to remember and highlight the happenings at a particular school during the previous academic year. Yearbooks were used in elementary, middle, high, and college and university settings throughout the 20th century.
Using the information in the table,
\(n = 5\)
Σ\(x = 1175\)
Σ\(y = 145\)
Σ\((xy) = 41000\)
Σ\((x^2) = 287500\)
When these values are inserted into the formula,
\(m = (541000 - 1175145) / (5*287500 - 1175^2)\)
\(= -0.1\)
Therefore, the slope of the linear function is \(-0.1\).
\(b = y - mx\)
where we can use any of the data points. Let's use\((250, 20)\)
\(b = 20 - (-0.1*250)\)
\(= 45\)
Therefore, the y-intercept of the linear function is \(45\).
\(y = -0.1x + 45\)
Therefore,
Price needed to cover the costs of printing \(= -0.1*\)(number of yearbooks sold) \(+ 45\).
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Convert .805 liters to millimeter s
Find the value of x .. assume that segments that appear to be tangent are tangent .
We got x = 16.54 by using Pythagorean theorem .
What is the Pythagorean theorem in plain English?
According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.angle of semicircle is always be 90° .
18² = 7.1² + x²
324 = 50.41 + x²
x² = 324 - 50.41
= 273.59
x = √ 273.59
x = 16.54
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Which group of numbers even or odd include more prime numbers? Why?
The First group i.e 1-10 include more prime numbers .(2,3,5,7,1)
Because it has the basic inputs of every number Like 15 consists of 3×5Answer:
Odd numbers.Step-by-step explanation:
There is one even prime number - 2.
All the rest primes are odd numbers.
Therefore odd numbers include more primes.
*5) x—> 1 — x
Help please will really appreciate it
In a survey of 1400 people who owned a certain type of car, 540 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
HELP
Around 38% of the people surveyed were satisfied with the car. The answer has been obtained by using arithmetic operations.
What are arithmetic operations?
Mathematicians claim that the four fundamental operations, often known as "arithmetic operations," can be used to describe all real numbers. The four mathematical operations of division, multiplication, addition, and subtraction produce the quotient, product, sum, and difference, respectively.
We are given that in a survey of 1400 people who owned a certain type of car, 540 said they would buy that type of car again.
This means that out of 1400 only 540 people were satisfied.
So, the percentage of people satisfied is
540/1400 * 100 = 38% (Approx.)
Hence, around 38% of the people surveyed were satisfied with the car.
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A bowling ball has an outside layer, and an inner core. One type of bowling ball has a diameter of 8 inches, and the outside layer is an inch thick. what is the volume of the outsdie layer
diameter = 8
radius = 4
outside layer is an inch thick so
radius is 3
volume of a bowling ball is
volume of a sphere which is
4/3 * Pi * radius cubed =
(4/3)*Pi*27=
answer = 82447.96 in^3 or inches cubed
socraticorg
The volume of the outsdie layer whose diameter is of 8 inches is 290 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that bowling ball has an outside layer, and an inner core
One type of bowling ball has a diameter of 8 inches
We have to find the volume of the outsdie layer
Radius of the ball is 4 inches.
Volume of sphere = 4/3πr³
=4/3×3.4×4³
=4/3×3.4×64
=290 cubic inches
Hence, the volume of the outsdie layer whose diameter is of 8 inches is 290 cubic inches.
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