Answer:
I believe its true, Im reallly sorry if its wrong
Step-by-step explanation:
The complementary angle of 56° is
Answer:
90 degrees
Step-by-step explanation:
trust
Help it’s due soon!
Answer:
25%
Step-by-step explanation:
rewrite 1/6 book 2/3 hour as a unit rate
Answer:
1/4 books per hour
Step-by-step explanation: Pls mark brainliest!
Answer:
it is 1\4 bro you working apix quiz don't be cheating
Step-by-step explanation:
How can you write an inequality to describe a situation?
Which algebraic expression represents "p plus twice d"?
A. P – 2d
B. 2d – p
C. P + 2d
D. D – 2p
To represent "p plus twice d," we use the expression "p + 2d." (option c)
To represent "p plus twice d" as an algebraic expression, we need to break it down into mathematical terms.
The variable "p" represents a certain value, and the variable "d" represents another value. When we say "p plus twice d," we are adding the value of "p" to two times the value of "d." Mathematically, we can represent "twice d" as 2d.
Therefore, the algebraic expression "p plus twice d" can be written as "p + 2d." This expression accurately represents the addition of the values of "p" and "twice d."
So, when p equals 5 and d equals 3, the expression "p plus twice d" evaluates to 11.
C. P + 2d: This expression represents the correct algebraic expression for "p plus twice d."
Therefore, the correct algebraic expression for "p plus twice d" is option C: P + 2d.
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What is the solution to the equation x\6 = 4\12?options:x = 2x = 6x = 4x = 1
SOLUTION
We want to solve the equation
\(\frac{x}{6}=\frac{4}{12}\)cross multiplying, we have
\(\begin{gathered} 12\times x=6\times4 \\ 12x=24 \\ x=\frac{24}{12} \\ x=2 \end{gathered}\)Hence the answer is x = 2, the first option
Set X consists of prime numbers {3, 11, 7, K, 17, 19}. If integer Y represents the product of all elements in set X and if 11Y is an even number, what is the range of set X
Thus, the range of set X is {2, 3, 7, 11, 17, 19}, with the prime number K being 2.
To find the range of set X, we need to determine the possible values for the unknown prime number K that satisfy the given conditions.
We know that set X consists of prime numbers {3, 11, 7, K, 17, 19}.
The product of all the elements in set X, represented by Y, can be calculated as:
Y = 3 * 11 * 7 * K * 17 * 19
We are given that 11Y is an even number. To make 11Y even, Y must be divisible by 2.
Since Y is the product of all the prime numbers in set X, it must already be an odd number because it includes only odd prime numbers.
For Y to be divisible by 2, we need to include a factor of 2 in the product. However, the set X only consists of prime numbers, and 2 is the only even prime number.
Therefore, the prime number K must be equal to 2 to make the product Y even.
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Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answer:
the coomon factor is 3xy³
by factoring we get
3xy³(4y-7xy²z+12)
The Parallelogram Law states that ||a+b||2+||a-b||2=2||a||2+2||b||2.
a) Give a geometric interpretation of the ParallelogramLaw.
b) Prove the Parallelogram Law. (Hint: Use theTriangle Inequality)
a) This Parallelogram law essentially relates the lengths of the individual vectors and the lengths of the diagonals of the parallelogram formed by vectors.
b) The Parallelogram Law is proven using the Triangle Inequality and the properties of vectors.
a) Geometric interpretation of the Parallelogram Law,
the Parallelogram Law states that for any two vectors and the sum of the squares of the lengths of the diagonals of a parallelogram formed by these vectors is equal to twice the sum of the squares of the lengths of the individual vectors. Geometrically,this law can be interpreted as follows,
Consider two vectors a and b in a vector space.
When these vectors are added together (a + b) and they form a parallelogram with a and b as adjacent sides.
The diagonal vectors of this parallelogram are a + b and a - b.
The Parallelogram Law states that if you square the lengths of both diagonal vectors (||a + b||² and ||a - b||²) and add them together then we will get the result is equal to twice the sum of the squares of the lengths of the individual vectors (2||a||²+ 2||b||²).
This law essentially relates the lengths of the individual vectors and the lengths of the diagonals of the parallelogram formed by these vectors.
b) Proof of the Parallelogram Law using the Triangle Inequality:
To prove the Parallelogram Law, we'll start with the following steps and utilizing the properties of vectors and the Triangle Inequality:
Start with the left-hand side of the Parallelogram Law:
||a + b||² + ||a - b||²
Expand the squared terms:
(a + b)·(a + b) + (a - b)·(a - b)
Expand the dot products:
(a·a + 2a·b + b·b) + (a·a - 2a·b + b·b)
Simplify by combining like terms:
2(a·a + b·b)
Rewrite in terms of the magnitudes of vectors using the dot product definition:
2(||a||² + ||b||²)
Distribute the 2:
2||a||² + 2||b||²
This matches the right-hand side of the Parallelogram Law, which completes the proof.
Therefore, the Parallelogram Law is proven using the Triangle Inequality and the properties of vectors.
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Which statement best describes the growth rates of the functions below?
The quadratic function grows faster than the exponential function over the entire interval; 0
The exponential function grows faster than the quadratic function over the entire interval; 0
The exponential function grows faster than the quadratic function over only one interval; 2
The exponential function grows faster than the quadratic function over two intervals; 2
The statement that best describes the growth rates of the functions mentioned is: The exponential function grows faster than the quadratic function over the entire interval.
So, the correct answer is B.
This is because, in general, exponential functions have a faster growth rate than quadratic functions as the input values increase.
Quadratic functions have a parabolic shape, while exponential functions grow at an increase rate based on the exponent.
Over the entire interval, the exponential function will eventually surpass the quadratic function and continue to grow at a faster pace.
Hence the answer of the question is B.
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In 2000 the population of a country was 4,580,000 By 2015 , the population had increased by 18%. Work out the population in 2015 .
Answer:
If the population was 4,580,000 in 2000, and it increased by 18%, the population in 2015 would be `4,580,000 + (4,580,000 x 0.18) = 5,394,400`.
Answer:
5404400
Step-by-step explanation:
4580000×18%=424400
4580000+424400=5404400
True or False: Creating social profiles for responding to positive and negative customer conversations online is not recommended. True False
Creating social profiles for responding to positive and negative customer conversations online is not recommended (False).
The statement is False. Creating social profiles for responding to positive and negative customer conversations online is actually recommended. Having dedicated social profiles for customer interactions allows businesses to effectively manage and engage with their customers on social media platforms. Here's why it is recommended:
Efficient Communication: By creating separate profiles, businesses can streamline their customer interactions and ensure timely responses. It helps in organizing and prioritizing customer conversations, leading to more efficient communication and better customer service.
Brand Consistency: Dedicated social profiles enable businesses to maintain a consistent brand image and voice across various customer interactions. It allows them to present a professional and cohesive image while addressing positive or negative feedback.
Reputation Management: Having separate profiles helps in monitoring and managing the reputation of the business. It allows businesses to address negative feedback publicly, demonstrating their commitment to resolving issues and building trust with customers.
Analytics and Insights: Dedicated profiles provide valuable data and insights into customer sentiments, preferences, and engagement patterns. This information can be leveraged to improve products, services, and overall customer experience.
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Suppose that an individual has a body fat percentage of 18.8% and weighs 152 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Answer:
The individual's body fat percentage of 18.8% indicates that 28.7 pounds of her weight is made up of fat.
Step-by-step explanation:
The information I provided is based on the formula for calculating body fat percentage, which is body fat weight divided by total body weight multiplied by 100.
Answer:
Step-by-step explanation:
x weight 131
---- = -------------
18.8% 100%
Cross multiply and get 24.6 pounds
What is the value of (2/5)^3
The value of the exponent (2/5)^3 is \(\frac{8}{125}\)
In the above question, it is given that
(2/5)^3
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.
We need to solve it and then find the value of the exponent
(2/5)^3
= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)
= \(\frac{2 . 2. 2}{5 . 5 . 5}\)
= \(\frac{8}{125}\)
Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)
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Protractor postulate: given any angle, we can express its measure as a unique ______________ number from 0 to 180 degrees.
Protractor postulate: given any angle, we can express its measure as a unique real number from 0 to 180 degrees.
The protractor postulate is a fundamental concept in geometry that establishes a way to measure angles using a protractor. According to this postulate, every angle can be uniquely represented by a real number between 0 and 180 degrees.
A protractor is a geometric tool with a semicircular shape and marked degrees along its edge. To measure an angle using a protractor, we align the center of the protractor with the vertex of the angle and the baseline of the protractor with one side of the angle. We then read the degree measure where the other side of the angle intersects the protractor.
The protractor is divided into 180 degrees, with 0 degrees being the starting point at the baseline of the protractor, and 180 degrees being at the opposite end of the baseline. By aligning the protractor with an angle, we can determine its measure as a real number within this range.
For example, if we measure an angle using a protractor and find that the other side intersects the protractor at 45 degrees, we can express the measure of the angle as 45 degrees. Similarly, if the intersection point is at 90 degrees, the angle measure would be 90 degrees. The protractor postulate guarantees that these angle measures are unique within the range of 0 to 180 degrees.
It is important to note that the protractor postulate assumes that angles can be measured using a protractor and that the measurement is accurate and reliable. The postulate provides a consistent and standardized way to assign a numerical value to an angle, allowing for precise communication and comparison of angles in geometric contexts.
In summary, the protractor postulate establishes that the measure of any angle can be expressed as a unique real number between 0 and 180 degrees. This concept is fundamental in geometry and allows for the measurement, comparison, and communication of angles using a protractor.
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when multiplying matrices, multiply the elements in each of the first matrix times the corresponding elements in each. is it true?
False, every component of the matrix is multiplied by the same amount when you multiply a matrix by a number. A new matrix is created by this operation; it is known as a scalar multiple.
A rectangular matrix is a grouping of numbers in rows and columns. A matrix element/entry is the term used to describe each number in the matrix. The combination of a real number and a matrix is referred to as scalar multiplication.
Each entry/element of the matrix is multiplied by the specified scalar in scalar multiplication. Comparatively, matrix multiplication describes the result of two matrices. This operation is totally different. We can't just multiply the corresponding entries in two matrices to multiply them.
The first matrix must have exactly as many columns as the second matrix has rows in order to perform matrix multiplication. The resulting matrix has the same number of columns and rows as the second matrix, and its number of columns matches the number of rows in the first matrix.
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Please help ASAP!!
Thank you!
Answer:
x=22
Step-by-step explanation:
(5x+4)+44+x = 180. reason [being co-interior angle)
48+6x = 180
6x = 132
x=22
help fast will mark brainlist
Answer:
a^25
Explanation:
a^5*5
A company is designing a new cylindrical water bottle. The volume of the bottle will be 207 cm3. The height of the water bottle is 8.2 cm. What is the radius of the water bottle? Use 3.14 82 cm for
\(\pi\)
The volume of the bottle will be 207 cm³ and the height of the water bottle is 8.2 cm. Therefore, the radius of the water bottle is approximately 2.85 cm.
To find the radius of the cylindrical water bottle, we'll use the formula for the volume of a cylinder:
Volume = π * radius² * height
Given the volume (207 cm³), height (8.2 cm), and π (3.14), we can set up the equation:
207 = 3.14 * radius² * 8.2
Now, we can solve for the radius:
1. Divide both sides by (3.14 * 8.2):
radius² = 207 / (3.14 * 8.2)
2. Calculate the result:
radius² ≈ 8.091
3. Take the square root of the result:
radius ≈ √8.091 ≈ 2.85 cm
The radius of the water bottle is approximately 2.85 cm.
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a cylinder has a radius of 3 cm and a height of 8 cm. what is the longest segment, in centimeters, that would fit inside the cylinder?
The longest segment that would fit inside the cylinder is approximately 9.06 centimeters.
The longest segment that would fit inside the cylinder would be the diagonal of the cylinder's base, which is equal to the diameter of the base. The diameter of the base is equal to twice the radius, so it is 6 cm. Using the Pythagorean theorem, we can find the length of the diagonal:
\(diagonal^2 = radius^2 + height^2 \\diagonal^2 = 3^2 + 8^2 \\diagonal^2 = 9 + 64 \\diagonal^2 = 73 \\diagonal = sqrt(73)\)
Therefore, the longest segment that would fit inside the cylinder is approximately 8.54 cm (rounded to the nearest hundredth).
To find the longest segment that would fit inside the cylinder, we need to calculate the length of the space diagonal of the cylinder. This is the distance between two opposite corners of the cylinder, passing through the center. We can use the Pythagorean theorem in 3D for this calculation.
The terms we'll use are:
- Radius (r): 3 cm
- Height (h): 8 cm
To find the space diagonal (d), we can use the following formula:
\(d = \sqrt{r^2 + r^2 + h^2}\)
Plug in the values:
\(d = \sqrt{((3 cm)^2 + (3 cm)^2 + (8 cm)^2)} d = \sqrt{(9 cm^2 + 9 cm^2 + 64 cm^2)} d = \sqrt{(82 cm^2)}\)
d ≈ 9.06 cm
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The longest segment that can fit inside the cylinder is. \($\sqrt{73}$ cm\).
The longest segment that can fit inside a cylinder is a diagonal that connects two opposite vertices of the cylinder.
The length of this diagonal by using the Pythagorean theorem.
Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle.
It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides.
This theorem can be written as an equation relating the lengths of the sides a, b and the hypotenuse c, often called the Pythagorean equation:[1]
\({\displaystyle a^{2}+b^{2}=c^{2}.}\)
The theorem is named for the Greek philosopher Pythagoras, born around 570 BC.
The theorem has been proven numerous times by many different methods – possibly the most for any mathematical theorem.
The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.
Consider a right triangle with legs equal to the radius.
\($r$\) and the height \($h$\) of the cylinder, and with the diagonal as the hypotenuse.
Then, by the Pythagorean theorem, the length of the diagonal is:
\($\sqrt{r^2 + h^2} = \sqrt{3^2 + 8^2} = \sqrt{73}$\)
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pls help hurry
100 points btw
Answer:
A. Dilation by a scale factor of 1/2 followed by reflection about the x-axis
Step-by-step explanation:
1/2 × P(-4,2)=(-2,1),
1/2 × Q(0,0)=(0,0),
1/2 × R(2,6)=(1,3).
d = 1/2.
(-2, 1) ⇒ P'(-2, -1),
(0, 0) ⇒ Q'(0, 0),
(1, 3) ⇒ R'(1, -3).
This is a reflection over X-axis.
Therefore, the set of transformations is given by
Dilation by a scale factor of fraction 1 over 2 followed by reflection about the x-axis.
Which of the following three data sets is Cross sectional? a. BCAD data and links b. Demographic data c. Code cases
Among the three options provided, the cross-sectional data set is the demographic data. Correct option is B).
Cross-sectional data refers to a type of data that captures information about different individuals, entities, or units at a specific point in time. It provides a snapshot of a population or sample at a particular moment, allowing for comparisons and analysis of various characteristics or variables. In the case of demographic data, it typically includes information about individuals' age, gender, education level, income, and other demographic attributes. This data set does not capture changes or trends over time but rather provides a snapshot of the population's characteristics at a specific time.
On the other hand, the BCAD data and links could refer to data related to building codes, regulations, and their corresponding references, while code cases may refer to specific instances or examples of code violations or compliance. These data sets may be specific to certain incidents or cases and do not necessarily capture information about a population or sample at a particular point in time, making them less likely to be considered cross-sectional data.
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a car travels 720 miles on 12 gallons of gas what is the constant of proportionality how many gallons would be used on a 1000 mile trip
Answer:
=50/3:720÷12=1000÷, 0 x=0 not equal reduce the fraction 60=1000/xmultiply both sides of the equation by the common denominator :60x=1000x/xreduce the fractions:60x=1000divide both sides of the equation by coifficient of variable:x=1000/60cross out the common factor:x=50/3find the intersection:x=50/3get the result:x=50/3ANSWER:X=50/3
PLEASE SOMEONE ANSWER THIS AND I WILL LUV U FOREVER-
A 35 gallon tub of water leaked at a rate of 7 gallons every 3 days. At this rate, how many days did it take for all 35 gallons of water to leak out of the tub?
Answer:
it is 45
Step-by-step explanation:
I don't really get how I'm supposed to do this. .-.
Hey there! :)
Answer:
m (slope) = 3/5.
Step-by-step explanation:
Find the slope of the line using the slope formula:
\(m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}\)
Plug in two points from the graph. We can use the points (-5, -2) and (0, 1):
\(m = \frac{1- (-2)}{0 - (-5)}\)
Simplify:
m = 3/5.
In the equation y = mx + b, the m value represents the slope. Therefore:
The slope of this line is 3/5.
two times a number is divided by 3 more than the number. if the result is 7, then what was the original number?
The original number is -21/5 or -4.2 which is divided by 3 more than the number.
What is an equation?In mathematics, an equation is a statement or formula which shows two expressions having equal value and connected by an equal sign. The two expressions consist of variables and/or numbers.
For solving the question we have to form an equation.Let the number be 'x' Two times the number = 2x3 more than the number = x + 3
According to the question,two times a number is divided by 3 more than the number is equal to 7 which means 2x / (x+3) = 7
By applying cross multiplication,2x = 7 × ( x+3)2x
= 7x + 7×32x
= 7x + 212x - 7x
= 21-5x = 21x = 21/ (-5)x
= -4.2
Hence the original number is -4.2
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the body mass of a man is xkg.thebody mass of his two children are five-sixth and four_fifths of their father5 x over 6 + 4 x over 5 5 x over 6 + 4 x over 5
56/120
Step-by-step explanation:
The body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.
Let the body mass of the man be x kg.
The first child's body mass is five-sixths of their father's body mass:
Body mass of the first child = (5/6) * x
= 5x/6 kg.
The second child's body mass is four-fifths of their father's body mass:
Body mass of the second child = (4/5) * x
= 4x/5 kg.
Therefore, the body masses of the two children in terms of their father's body mass, x, are:
First child's body mass = 5x/6 kg
Second child's body mass = 4x/5 kg
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tomorrow paul is playing in an important soccer game. he reasons that there are three possible outcomes (they could win, lose, or tie) so the probability of winning must be 1/3. is this reasoning correct? why or why not?
Paul's reasoning is not correct. The fact that there are three possible outcomes (win, lose, or tie) does not necessarily mean that each outcome is equally likely.
What is probability?Probability is the measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event will not occur and 1 means the event is certain to occur. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is used in various fields including mathematics, statistics, physics, engineering, finance, and more to help understand and predict the occurrence of events.
Here,
The probability of each outcome depends on various factors, such as the strength of the opposing team, the weather conditions, the health and fitness of the players, and other relevant factors. Therefore, it is not possible to determine the probability of winning based solely on the number of possible outcomes.
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A football jersey that origanally sells for $75 is on sale for 35% off the original peice. what is the sale price of the football jersey?
Answer: 48.75
Step-by-step explanation:
Francis surveyed a random sample of 70 7070 students at Franklin High School about their favorite season. Of the students surveyed, 18 1818 chose fall as their favorite season. There are 1816 18161816 students at Franklin High School. Based on the data, what is the most reasonable estimate for the number of students at Franklin High School whose favorite season is fall? Choose 1 answer: Choose 1 answer:
Answer:
467
Step-by-step explanation:
Determine the percentage of those sampled whose favourite season is fall
(18/70) x 100 = 25.7%
the sample is representative of the population of students. So, 25.7% of the students would like fall
number of students at Franklin High School whose favourite season is fall = 25.7% x 1816 = 466.7 students
rounding off to the nearest whole number gives 467
Answer:
467
Step-by-step explanation: