An expression involving division that is equivalent to the expression 2/9 x 3/4 is 1/6.
Describe Algebraic Expression?An algebraic expression is a mathematical expression that consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. In algebraic expressions, variables are typically represented by letters, and they can take on any value. Constants, on the other hand, are fixed values that do not change.
Algebraic expressions can be simple or complex, depending on the number of terms and the complexity of the operations involved. For example, a simple algebraic expression might be 2x + 3, where x is a variable and 2 and 3 are constants. A more complex expression might be (2x + 3y) / (x - y), which involves two variables and both addition and division operations.
To find an expression equivalent to the expression 2/9 x 3/4, we can simply multiply the two fractions together and simplify the result:
2/9 x 3/4 = (2 x 3) / (9 x 4) = 6/36
We can further simplify this fraction by dividing both the numerator and the denominator by their greatest common factor, which is 6:
6/36 = (6 ÷ 6) / (36 ÷ 6) = 1/6
Therefore, an expression involving division that is equivalent to the expression 2/9 x 3/4 is 1/6.
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The graph shows the absolute value parent function.
which statement is true?
(image attached)
Answer:
Letter D
Step-by-step explanation:
not always zero
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Which is the best estimate for the percent equivalent of 7 15?
The best estimate for the percent equivalent of 7 15 is Approximate 46%.
What is a percentage in math?
Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity. The percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”. Examples of percentages are: 10% is equal to 1/10 fraction.Given : 7/15
To convert a number in to percentage we multiply it by 100.
\(\frac{7}{15} = \frac{7}{15} * 100\)
\(\frac{7}{15} = \frac{700}{15}\)
\(\frac{7}{15} =\) 46 %
Therefore, Approximate 46%.
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How do you find eigenvalues and eigenvectors step by step?
Eigenvalues and eigenvectors can be calculated using these steps:
Start with a square matrix A.Solve the characteristic equation det(A - λI) = 0 to find the eigenvalues (λ).For each eigenvalue, solve the system of equations (A - λI)x = 0 to find the corresponding eigenvectors (x).To find the eigenvalues and eigenvectors of a square matrix A, we follow a systematic process. Firstly, we consider the matrix A. Next, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix of the same size as A, and λ represents the eigenvalues we seek. The characteristic equation is formed by subtracting the eigenvalue (λ) times the identity matrix (I) from matrix A and taking its determinant. Solving this equation will give us the eigenvalues.
Once we have the eigenvalues, we proceed to find the corresponding eigenvectors. For each eigenvalue λ, we need to solve the system of equations (A - λI)x = 0, where x is the eigenvector associated with that eigenvalue. This system of equations is homogeneous, and we aim to find non-zero solutions for x. This can be done by row-reducing the augmented matrix (A - λI|0) and solving for x.
After repeating this process for each eigenvalue, we obtain the set of eigenvalues and their corresponding eigenvectors for the matrix A. These eigenvalues represent the scalars by which the eigenvectors are scaled when the matrix A operates on them.
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Find the square root of 4411225
? (Express the answer as a decimal.)
Answer:
2100.29164641
the six sigma dmaic approach is the best way to attack all problems and should be employed whenever possible. (True or False)
True. The DMAIC approach, which stands for Define, Measure, Analyze, Improve, and Control, is an effective problem-solving methodology used in Six Sigma.
Step 1: Define: Establish the problem to be solved and the goals of the project.
Step 2: Measure: Collect data related to the problem.
Step 3: Analyze: Analyze the data to identify the root cause of the problem.
Step 4: Improve: Develop and implement solutions to address the root cause of the problem.
Step 5: Control: Monitor the process to ensure that the problem remains resolved and that the improvements are sustained.
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GIVING 50 POINTS
Find the missing length indicated. Pls show your work
\(\\ \sf\longmapsto \dfrac{20}{3x-18}=\dfrac{15}{9}\)
\(\\ \sf\longmapsto 300=15(3x-18)\)
\(\\ \sf\longmapsto 300=45x-270\)
\(\\ \sf\longmapsto 45x=570\)
\(\\ \sf\longmapsto x\approx 13\)
Answer:
• from scale factors, big triangle : small triangle
\(\dashrightarrow \: { \tt{ \frac{24}{(24 - 9)} = \frac{(3x - 18) + 20}{20} }} \\ \\\dashrightarrow \: { \tt{20 \times 24 = (3x + 2) \times 15}} \\ \\ \dashrightarrow \: { \tt{480 = 45x + 30}} \\ \\ \dashrightarrow \: { \tt{45x = 450}} \\ \\ \dashrightarrow \: { \boxed{ \tt{x = 10}}}\)
• The missing length:
\( = { \tt{3x - 18}} \\ \\ = { \tt{3(10) - 18}} \\ \\ = { \tt{30 - 18}} \\ \\ \dashrightarrow \: { \boxed{ \boxed{ \tt{ \: \: missing \: length = 12 \: \: }}}}\)
i ready classroom grade 8 volume 1 mathematics
Can anyone help me with this asap !!!
Answer:
COCO is life
Step-by-step explanation:
COCO is = to food and water
And food of COCO contains 2grams
Water of COCO contains 10 liters
So add grams and liters together
And u get this
10l/41ⁿ9xg451/⅞41 + we12/need/34¹⅔/coco
=coco 10274728l
If Zombie Land's 2021 Nominal GDP was $86 million and their Consumer Price Index was 163 the same year, what was their Real GDP for 2021?
A. $86 million
B. $8653
C. $53 million
D. $5276
PLEASE HELP I WILL MARK BRAINLIEST
Answer:
I think 96° but not fully sure sorry if wrong
What is the solution set of 6 x^2 - 24 = 0?
{-2}
{-2, 2}
{2}
Answer: 1. x = 2
2. x = -2
Step-by-step explanation:
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number is doubled.
Trey is making cookies. the recipe calls for 2 3/8 cups of flour. how much flour would trey need if he wants to increase the recipe 1 1/2 times? helppp its a test and i have to do it today!!!!
Trey will have to add 3 9/16 cups to increase the recipe 1 1/2 times.
To calculate the number of cups needed to add to increase the recipe 1 1/2 times, we have to multiply the original amount of flour by 1 1/2 times. With the help of this method we will be able to find out the number of extra cup of flour that needs to be added when the recipe is increased by 1 1/2 times.
To calculate number of increased cups, we need to:
2 3/8 * 1 1/2
let's convert the mixed fractions into improper fraction:
19/8 * 3/2
To multiple two fractions, multiply the numerators and denominators:
(19 * 3) / (8 * 2)
57 / 16
The mixed fraction would be:
3 9/16
Therefore. number of cups needed to increase the recipe 1 1/2 times is
3 9/16.
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Which relation is not a function?
5
O A.
3
4
B. (19,11), (6,16), (9, 10). (5,18),
(4,7), (16,4)}
O c. x 14 7
21 28 35
y 7
14 7
35 21
O D. {(19, 11),(4,9), (19,10), (8, 18),
(5,3), (15, 17)
Answer:
Option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.
Step-by-step explanation:
We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
In other words, we can not have duplicated inputs as there should be only 1 output for each input.
If we carefully analyze the options A, B, and C, all the options represent the function because all of them represent a relation where each input or x-value of the X set has a unique y-value or output of the Y set.
Considering the given relation in option D
{(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)}
If we carefully analyze the option D, we can easily determine that the value of x = 19 is repeated twice.
In other words, the x-value x = 19 is duplicated.
We know that we can not have duplicated inputs as there should be only 1 output for each input.
Therefore, the relation {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} DOES NOT represent the function.
Hence, option D i.e. {(19, 11), (4, 9), (19, 10), (8, 18), (5, 3), (15, 17)} is correct option.
Determine whether each pair of equations are equivalent. Explain your answer. 5x − 4 + 3x = 8 and 8x = 12
What is the yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons if this bond is currently trading for a price of $884?
5.02%
6.23%
6.82%
12.46%
G
5.20%
The yield to maturity of a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons, if the =bond is currently trading for a price of $884, is 6.23%. Thus, option a and option b is correct
Yield to maturity (YTM) is the anticipated overall return on a bond if it is held until maturity, considering all interest payments. To calculate YTM, you need to know the bond's price, coupon rate, face value, and the number of years until maturity.
The formula for calculating YTM is as follows:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
Where:
C = Interest payment
F = Face value
P = Market price
n = Number of coupon payments
Given that the bond has a coupon rate of 5.2%, a face value of $1000, a maturity of ten years, semi-annual coupon payments, and is currently trading at a price of $884, we can calculate the yield to maturity.
First, let's calculate the semi-annual coupon payment:
Semi-annual coupon rate = 5.2% / 2 = 2.6%
Face value = $1000
Market price = $884
Number of years remaining until maturity = 10 years
Number of semi-annual coupon payments = 2 x 10 = 20
Semi-annual coupon payment = Semi-annual coupon rate x Face value
Semi-annual coupon payment = 2.6% x $1000 = $26
Now, we can calculate the yield to maturity using the formula:
YTM = (C + (F-P)/n) / ((F+P)/2) x 100
YTM = (2 x $26 + ($1000-$884)/20) / (($1000+$884)/2) x 100
YTM = 6.23%
Therefore, If a ten-year, $1000 bond with a 5.2% coupon rate and semi-annual coupons is now selling at $884, the yield to maturity is 6.23%.
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Shawn and mark want to save $225.00 together . Shawn has $16.00 and saves $10.00 each week . Mark has $22.00 and saves $7.00 each week . Which equation can be used to find the number of weeks it will take them ?
A. 26x + 29x = 225
B. 38x + 17 = 225
C. 55x = 225
D. 38 + 17x = 225
Answer:
D. 38 + 17x = 225Step-by-step explanation:
Shawn will have:
16 + 10xMark will have:
22 + 7xTogether their target is 225:
16 + 10x + 22 + 7x = 22538 + 17x = 225Correct choice is D
Now they will have eq.,
→ Shawn = 16 + 10x
→ Mark = 22 + 7x
They togetherly get their target,
→ 16+ 10x + 22 + 7x = 225
→ 38 +17x = 225
Hence, option (D) is the answer.
I need help for geomotry!
Answer:
\(y = \frac{ - 3}{4} x + 7\)
best answer gets brainiest please give the answer now!!
Answer:
206.19cm^2
Step-by-step explanation:
area of the square=19×19
area of the square=361cm^2
area of circle= r^2×π
13.44 is the radius
13.44^2×π=567.189504= area of circle
567.189504cm^2-361cm^2=206.189504
206.189504 to nearest hundredth= 206.19cm^2
NEED HELP ASAP ALGEBRA 2
Find the third side in simplest radical form
Answer:
36
Step-by-step explanation:
a² + b² = c²
a² + 77² = 85²
a² + 5929 = 7225
a² = 1296
a = 36
Step-by-step explanation:
\( \sqrt{ {85}^{2} - {77}^{2} } \)
\( \sqrt{1296} \)
\( 36 \)
Complete the table to investigate dilations of exponential functions. Help please!
Answer:
Step-by-step explanation:
You simply need to substitute the numbers in the x column into the equations in the topmost row. The answers are the values of a, b, c, d, e, and f.
Look at the filled in cells.
In the x column, we have -2, and the topmost row we have \(2^x\). The answer is given as \(\frac{1}{4}\). This is because \(2^{-2} = \frac{1}{2^{2} } = \frac{1}{4}\)
Repeat this for the values that you need to find.
Bonsoir j'arrive pas à faire c'est deux exo sur la proportionnalité merci de l'aide bonne soirée.
Exercice 2, Pour faire un mélange de café, on utilise 150 kg d'arabica et 80 kg de robusta. Pour obtenir 805 kg de mélange de même composition.
Quelle quantité doit-on utiliser de chaque qualité de café ?
Exercice 3, Pour faire une boisson à la framboise, André met 4 volumes de sirop pour 7 d'eau et Béatrice met 5 volumes de sirop pour 9 d'eau.
Quelle est la boisson la plus sucrée?
l'exercice 3 est la boisson d'Andres. Je suis désolé si cela ne ressemble pas vraiment à un français parfait, je parle anglais et j'utilise Translate. passe une bonne journée!
a population contains the ages of 5 family members: 60, 42, 51, 38, 24. find the total number of samples of size 4 that can be drawn from this population.
To find the total number of samples of size 4 that can be drawn from a population of 5 family members, we can use the concept of combinations.
The number of combinations, denoted as "n choose k," represents the number of ways to select k items from a set of n items without considering their order.
In this case, we want to select 4 family members from a population of 5.
Using the formula for combinations:
C(n, k) = n! / (k! * (n - k)!)
where n! denotes the factorial of n.
Plugging in the values:
C(5, 4) = 5! / (4! * (5 - 4)!)
Calculating the factorials:
5! = 5 × 4 × 3 × 2 × 1
4! = 4 × 3 × 2 × 1
(5 - 4)! = 1
Simplifying:
C(5, 4) = (5 × 4 × 3 × 2 × 1) / [(4 × 3 × 2 × 1) × 1]
After simplification, the result is:
C(5, 4) = 5
Therefore, there are a total of 5 different samples of size 4 that can be drawn from the given population of ages.
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The words above say “the expression x-2 has a value of -5 for some value of x. For the same value of x, what is the value of the expression (x-2)*squared. Show your reasoning for this problem.” Also i said (*squared) bcuz its squared with a 2 so please dont leave that part out. D: help pls
Answer:
(1)
Step-by-step explanation:
x - 2 = - 5 Add 1 to each side
x = - 5 + 2
x = - 3
Now go to the next part
(x - 2)^2
(-3 - 2)^2
(- 5)^2
Now it's a good idea at this point to separate the squared. It means that two numbers that are the same are to be multiplied together.
(-5)(-5) Two minuses are going to give you a plus.
5 * 5 = 25
(-5) * (-5) also give you 25
The answer is (1)
A rectangular pyramid fits exactly on top of a rectangular prism. The prism* 1 point has a length of 26 cm, a width of 5 cm, and a height of 14 cm. The pyramid has a height of 23 cm. Find the volume of the composite space figure. Round to the nearest hundredth .
The volume of the composite space figure is approximately 2818.33 cubic cm.
How to calculate the volume of the composite space figureTo find the volume of the composite space figure, we need to add the volumes of the rectangular prism and the rectangular pyramid.
The rectangular prism has a length of 26 cm, a width of 5 cm, and a height of 14 cm. So its volume is:
V_prism = length x width x height
V_prism = 26 cm x 5 cm x 14 cm
V_prism = 1820 cubic cm
The rectangular pyramid has a height of 23 cm and a rectangular base with a length of 26 cm and a width of 5 cm. To find its volume, we need to first find its base area:
A_base = length x width
A_base = 26 cm x 5 cm
A_base = 130 square cm
Then, we can use the formula for the volume of a pyramid:
V_pyramid = (1/3) x base area x height
V_pyramid = (1/3) x 130 square cm x 23 cm
V_pyramid = 998.33 cubic cm (rounded to the nearest hundredth)
To find the total volume of the composite space figure, we add the volumes of the prism and the pyramid:
V_total = V_prism + V_pyramid
V_total = 1820 cubic cm + 998.33 cubic cm
V_total = 2818.33 cubic cm (rounded to the nearest hundredth)
Therefore, the volume of the composite space figure is approximately 2818.33 cubic cm.
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what does googolplex mean?
the variance and standard deviation are the most widely used measures of central location.
T/F
False , the variance and standard deviation are not measures of central location
Given data ,
The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset
Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset
The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.
In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.
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Solve −4(x + 1) − 3 = −3(x − 4).
Answer:
x=-19
Step-by-step explanation:
Distribute
−4(x+1)−3=−3(x−4)
−4−4−3=−3(−4)
Subtract the numbers
-4x-4-3(x-4)
−4x−4−3=−3(x−4)−4−7=−3(−4)
Distribute again..
−4x−7=−3(x−4)
−4-7=−3+12
Add 7 to both sides and then Simplify!
. a boy or a girl? assume that the probability of the birth of a child of a particular sex is 50%. in a family with four children, what are the probabilities that (a) all the children are boys, (b) all the child
(a) The probability of having all six children be girls is (1/2)^6, or 1/64.
(b) The probability of having all six children be the same sex (either all boys or all girls) is (1/2)^6 + (1/2)^6, or 2/64, or 1/32.
(c) The probability of having at least one boy is 1 - 1/64, or 63/64
The probability of having a child of a particular sex is 50%. Given a family with six children, we can calculate the probability of each event as follows:
(a) All the children being girls: the probability is (1/2)^6, or 1/64.
(b) All the children being the same sex (either all boys or all girls): the probability is (1/2)^6 + (1/2)^6, or 2/64, or 1/32.
(c) At least one boy being in the family: the probability is 1 - (1/2)^6, or 63/64. This can be calculated by finding the probability of having no boys (all girls) and then subtracting it from 1.
In summary, the probability of having a particular outcome in a family with six children depends on the number of children of each sex and can be calculated using the formula (1/2)^n, where n is the number of children of a particular sex.
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Complete question:
Assume that the probability of the birth of a child of a particular sex is 50%. In a family with six children, find the probability of each event.
(a) All the children are girls.
(b) All the children are the same sex.
(c) There is at least one boy.
Hi I am in desperate need of a "tutor" If anyone is decent at Algebra II, any little help is welcomed! Please respond to this and I will message you on here. I will explain my situation through there
I am honestly in a really tight spot in school and I really need some assistance with my work, thanks :)
Answer:
Step-by-step explanation:
Hi,
I am quite good at maths and will be happy to help you, not just in Algebra, but any other topics in maths
A bag of rice weighs 20 kg more than one of sugar. If 50 kg of sugar is added to the second bag, its weight becomes twice that of the bag of rice. Find the weight of the bag of rice