Answer:
2,1,3
Step-by-step explanation:
The decimal place in the product of the given number will be at 3 place.
What is decimal?A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form.
Given are the two numbers, 0.47 × 3.2
The number of decimal places in 0.47 is 2
The number of decimal places in 3.2 is 1
The number of decimal places in the product will be the sum of the factors’ decimal places. So the product will have 3 decimal places.
Hence, The decimal place in the product of the given number will be at 3 place.
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10. Higher Order Thinking Each of 5 friends has x action figures in
his or her collection. Each friend buys 11 more action figures. Now
the 5 friends have a total of 120 action figures.
a. Write an equation that models the problem.
b. Solve the equation to find the number of action figures, x, that
each friend had originally.
Each friend had originally 13 action figures before buying 11 more.
Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.
a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.
Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.
The total number of action figures will be 5(x + 11) = 5x + 55.
Now, according to the problem,5x + 55 = 120
This is our equation that models the problem.
b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.
5x + 55 = 120
5x = 120 - 55 (subtract 55 from both sides)
5x = 65x = 13
Therefore, each friend had originally 13 action figures before buying 11 more.
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David hikes from his campsite to the ranger's cabin and then back to his campsite. How far does David hike? A 1/8 mile B 1/2 mile C 5/8 mile D 3/4 mile
The distance David hiked can be determined as,
\(\begin{gathered} d=\frac{1}{8}mile+\frac{1}{8}mile \\ =\frac{1+1}{8}\text{mile} \\ =\frac{2}{8}mile \\ =\frac{1}{4}mile \end{gathered}\)Thus, option (c) is the correct solution.
A marble is selected from a bag containing eight marbles numbered 1 to 8. The number of the marble selected will be recorded as the outcome. Consider the following events. Event A: The marble selected has an even number.
Event B: The marble selected has a number from 3 to 6.
a) Event "A or B":
b) Event "A and B":
c) The complement of the event A.
A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
Step-by-step explanation:MAKE A PLAN:
List The OUTCOMES for EACH EVENT and their COMBINATIONS:
SOLVE THE PROBLEM:a) - EVENT "A": {2, 4, 6, 8}
EVENT "B": {3, 4, 5, 6}
EVENT "A" or "B": {2, 3, 4, 5, 6, 8}
b) - EVENT "A" or "B": {4, 6}
c) - The COMPLEMENT of the EVENT "A": {1, 3, 5, 7}
Draw the conclusion:A) - Event "A or B" Consists of the Outcomes:
{2, 3, 4, 5, 6, 8}
B) - Event "A or "B" Consists of the Outcomes:
{4, 6}
C) - The "COMPLEMENT of EVENT "A" Consists of the Outcomes:
{1, 3, 5, 7}
I hope this helps!
You bought a Nissan Xterra for $25,000. The car depreciates at a rate of
6.5% per year. After how many years will the car be worth $16,703.58?
5
Answer:
Why i dont know
Step-by-step explanation:
Suppose a booth prepared 76 pounds of chicken with rice to serve at a Hispanic Heritage festival. How many kilograms of chicken with rice is that? Round your answer to the nearest hundredth of a kilogram.
Answer:
34.473
Step-by-step explanation:
1 pound is equal to 0.453592 kilograms.
Take 1 and multiply it by 76, then take 0.453592 and multiply it by 76.
0.453592×76=34.472992 witch can be rounded to 34.473
Mark Brainliest?
Help me out!, legit answers pls.
Answer:
2
Step-by-step explanation:
Differentiate the following four levels of measurement and give an example of each: nominal, ordinal, interval and ratio.
-Nominal: a level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures. Gender is an example.
-Ordinal: a level of measurement describing a variable with attributes we can rank-order along some dimension. An example is socioeconomic status as composed of the attributes high, medium, and low.
-Interval: a level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature.
-Ratio: a level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a "true zero" point. Ex. Number of children you have, makes sense to have a zero
The process of associating numbers with physical quantities and phenomena. Measurement is used in our day-to-day life
Nominal: A level of measurement describing a variable that has attributes that are merely different, as distinguished from ordinal, interval, or ratio measures.
Gender is an example.
Ordinal: A level of measurement describing a variable with attributes we can rank-order along some dimension.
An example is socioeconomic status as composed of the attributes high, medium, and low.
Interval: A level of measurement describing a variable whose attributes are rank-ordered and have equal distances between adjacent attributes. There is however, no "true" zero point. Like the difference in temperature. An example will be the measuring temperature.
Ratio: A level of measurement describing a variable with attributes that have all the qualities of nominal, ordinal, and interval measures and in addition are based on a true zero point. An example will be Number of children you have, makes sense to have a zero
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3. Study Hours (Based on Exercise 8.7) Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of µ = 14 hours per week spent studying by full-time students at 4-year colleges in the United States. To determine whether this average changed over the 10 subsequent years, a researcher selected a sample of = 64 of college students. The data file hours.csv has data consistent with what the researcher found. In this question, you will use the data to if this sample indicates a significant change in the number of hours spent studying.
a. Which of the following are the hypotheses to test if this sample indicates a significant change in the average number of hours spent studying?
i. 0: µ = 14 and 1: µ < 14
ii. 0: µ = 14 and 1: µ ≠ 14
iii. 0: µ = 14 and 1: µ > 14
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
Option B is the correct answer.
We have,
The null hypothesis states that the population mean for the number of hours spent studying by full-time students at 4-year colleges in the United States is equal to 14 hours per week,
while the alternative hypothesis states that it is different from 14 hours per week.
By using a two-tailed test, we are checking for any significant change in either direction, whether the average number of hours spent studying has increased or decreased from 14 hours per week.
Thus,
The hypotheses to test if this sample indicates a significant change in the average number of hours spent studying is:
0: µ = 14 (null hypothesis)
1: µ ≠ 14 (alternative hypothesis)
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If y = 6x + 1, find y when x = 9
Answer:
55
Step-by-step explanation:
if x=9 and y = 6x + 1
then all what you have to do is that you should substitute x by 9 in y equation as the following,
y = 6*(9) + 1 =54 + 1 = 55
Answer:
55
Step-by-step explanation:
Given,
y = 6(x)+1
x = 9Substituting x= 9 on the given expression,
y = 6(9)+1y = 54 + 1y = 55Hence y = 55.
There are 80 Students in the marching band.
Can they match in 2,5, and /or 10 equal rows? Explain.
Answer:
Step-by-step explanation: Yes, they can match in 2, 5, and/or 10 equal rows. This is because the number of items in the set can be divided evenly by 2, 5, and 10. For example, if there are 20 items in the set, it can be divided into 2 rows of 10, 5 rows of 4, or 10 rows of 2.
The volume of a rectangular prism is 5058
50
5
8
cubic inches.
The dimensions are given below.
What is the missing value in the table?
The missing value in the table include the following: B. 4 1/2 in.
How to calculate the volume of a rectangular prism?In Mathematics and Geometry, the volume of a rectangular prism can be calculated by using the following formula:
Volume of a rectangular prism = L × W × H
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given dimensions (parameters) into the formula for the volume of a rectangular prism, we have;
50 5/8 = 5 × W × 2 1/4
Width, W = 4 1/2 inches.
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Complete Question:
The volume of a rectangular prism is 50 5/8 cubic inches.
The dimensions are given below.
What is the missing value in the table?
Length Width Height
5 in. 214 in.
A. 79in.
B. 412in.
C. 134in.
D. 1018in.
The area of the rectangle below is
sq. units.
Help me pls :(
Answer:
D
Step-by-step explanation:
Hey There!
To find the area of a rectangle we do length times width
17 is the width and 4 is the length
so area is equal to 17x4
17x4=68 so your answer would be D
Answer:
Step-by-step explanation:
17 * 4 = 68
so the answer is d
When you subtract two positive integers, is the result always a positive integer?
Answer: ⁕ The result is not always positive. ⁕
Why: ♪ If you were to subtract two positive integers, 4 and 5, what would you get? You would get -1. Is -1 a positive integer? No. ♪
Examples:
• 2-3 = -1 •
• 5-7 = -2 •
• 8-11 = -3 •
⟪ If you would like more help, please let me know below! ⟫
Symbols used: ⟪⟫•♪⁕
Answer: is not always positive
A mathematical model is a simplified description of a system or a process. In your opinion, how are mathematical models helpful? What are the advantages and disadvantages of using a model? In what ways are mathematical models linked to the fields of chemistry, biology, and physics? Cite several examples.
Given statement solution is :- Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages: Simplification and abstraction, Prediction and simulation, Cost and time efficiency, Insight and understanding.
Mathematical models are extremely valuable tools in various fields, including chemistry, biology, and physics. They offer several advantages:
Simplification and abstraction: Mathematical models allow complex systems or processes to be represented using simplified mathematical equations or algorithms. This simplification helps in understanding the underlying principles and relationships of the system, making it easier to analyze and predict outcomes.
Prediction and simulation: Models enable scientists to make predictions about the behavior of a system under different conditions. They can simulate scenarios that are difficult or impossible to observe in the real world, allowing researchers to explore various hypotheses and make informed decisions.
Cost and time efficiency: Models can be used to explore different scenarios and test hypotheses in a relatively quick and cost-effective manner compared to conducting real-world experiments. They can help guide experimental design by providing insights into the most relevant variables and parameters.
Insight and understanding: Mathematical models often reveal underlying patterns and relationships that may not be immediately apparent from experimental data alone. They provide a framework for organizing and interpreting data, leading to a deeper understanding of the system being studied.
However, mathematical models also have limitations and potential disadvantages:
Simplifying assumptions: Models are based on assumptions and simplifications, which may not fully capture the complexity of the real-world system. If these assumptions are incorrect or oversimplified, the model's predictions may be inaccurate or misleading.
Uncertainty and error: Models are subject to uncertainties and errors stemming from the inherent variability of the system, limitations in data availability or quality, and simplifying assumptions. It is crucial to assess and communicate the uncertainties associated with model predictions.
Validation and verification: Models need to be validated and verified against experimental data to ensure their accuracy and reliability. This process requires rigorous testing and comparison to real-world observations, which can be challenging and time-consuming.
Mathematical models are closely linked to the fields of chemistry, biology, and physics, providing valuable insights and predictions in these disciplines. Here are some examples:
Chemistry: Mathematical models are used to study chemical reactions, reaction kinetics, and molecular dynamics. One example is the use of rate equations to model the kinetics of a chemical reaction, such as the reaction between reactants A and B to form product C.
Biology: Mathematical models play a crucial role in understanding biological systems, such as population dynamics, gene regulation, and the spread of infectious diseases. For instance, epidemiological models like the SIR (Susceptible-Infectious-Recovered) model are used to simulate and predict the spread of diseases within a population.
Physics: Mathematical models are fundamental in physics to describe physical phenomena and predict outcomes. One well-known example is Newton's laws of motion, which can be mathematically modeled to predict the motion of objects under the influence of forces.
Quantum mechanics: Mathematical models, such as Schrödinger's equation, are used to describe the behavior of particles at the quantum level, providing insights into atomic and molecular structures and the behavior of subatomic particles.
Fluid dynamics: Mathematical models, such as the Navier-Stokes equations, are employed to study the behavior of fluids, including airflow, water flow, and weather patterns.
These examples demonstrate the wide range of applications for mathematical models in understanding, predicting, and simulating various phenomena in the fields of chemistry, biology, and physics.
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Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?
Answer:
5
Step-by-step explanation:
2 books at home
2 more books from the library
1 more book he bought
2 + 2 + 1 = 4 + 1 = 5
Answer: 5
A bag contains 10 marbles: 2 are green, 4 are red, and 4 are blue. Tammy chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are blue?
If a savings account of $10,000 is compounded semi-annually at 19.82% annual interest, how much will the account be worth in 54 months? Round your answer tothe nearest cent, if necessary. Note: 365 days in a year and 30 days in a month.
Using the compound interest formula:
\(A=P(1+\frac{r}{n})^{nt}\)Where:
A = Amount
P = Principal
r = interest rate
n = Number of times the interest is compounded per year
t = time
so:
\(\begin{gathered} r=0.1982 \\ P=10000 \\ n=2 \\ t=54_{\text{ }}weeks\times\frac{1year}{52weeks}=\frac{27}{26} \end{gathered}\)\(\begin{gathered} A=10000(1+\frac{0.1982}{2})^{2\cdot\frac{27}{26}} \\ A\approx12168.33 \end{gathered}\)Please hurry! I have no idea what to do lol
ok
under the -4 is a 16
under the 0 is a 4
under the 8 is a -20
Your Welcome
2x+1/4=4x-9/8
Is it a no solution or real
Answer:
The equation has a real solution which is:
\(x=\frac{11}{16}\)
Step-by-step explanation:
Given the equation
\(2x+\frac{1}{4}=4x-\frac{9}{8}\)
Solving the equation
\(2x+\frac{1}{4}=4x-\frac{9}{8}\)
Subtract 1/4 from both sides
\(2x+\frac{1}{4}-\frac{1}{4}=4x-\frac{9}{8}-\frac{1}{4}\)
Simplify
\(2x=4x-\frac{11}{8}\)
Subtract 4x from both sides
\(2x-4x=4x-\frac{11}{8}-4x\)
Simplify
\(-2x=-\frac{11}{8}\)
Divide both sides by -2
\(\frac{-2x}{-2}=\frac{-\frac{11}{8}}{-2}\)
Simplify
\(x=\frac{11}{16}\)
Therefore, the equation has a real solution which is:
\(x=\frac{11}{16}\)
If f(x)
=
OA.
A.
2+1, what is the value of f-¹ (3)?
22
B. 19
OB.
C.
O D.
13
OE. 11
The value of the inverse function f-¹ (3) is (e) 11
Calculating the value of the inverse functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = x - 8
To calculate the inverse value at f-¹ (3)
We set the value to 3
using the above as a guide, we have the following:
x - 8 = 3
Evaluate the like terms
x = 11
Hence, the value of the inverse function is (e) 11
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Complete question
if f(x) = x - 8, what is the value of f-¹ (3)?
If the function y=sin(x) is transformed to y = sin(2x), how does the graph change?
It is stretched vertically.
It is compressed vertically.
It is stretched horizontally.
It is compressed horizontally..
Step-by-step explanation:
The transformation y = sin(2x) affects the graph of y = sin(x) by compressing it horizontally.
The function y = sin(2x) has a coefficient of 2 in front of the x variable. This means that for every x value in the original function, the transformed function will have half the x value.
To see the effect of this transformation, let's compare the graphs of y = sin(x) and y = sin(2x) by plotting some points:
For y = sin(x):
x = 0, y = 0
x = π/2, y = 1
x = π, y = 0
x = 3π/2, y = -1
x = 2π, y = 0
For y = sin(2x):
x = 0, y = 0
x = π/2, y = 0
x = π, y = 0
x = 3π/2, y = 0
x = 2π, y = 0
As you can see, the y-values of the transformed function remain the same as the original function at every x-value, while the x-values of the transformed function are compressed by a factor of 2. This means that the graph of y = sin(2x) appears narrower or more "squeezed" horizontally compared to y = sin(x).
Therefore, the correct statement is: It is compressed horizontally.
The swimming pool is being used for lane swimming. There are 8 lanes in the pool. 3 of the lanes are reserved for swimmers. what proportion of the lanes are available for slower swimmers? Show your answer as percentage
Answer:
62.5%
Step-by-step explanation:
5/8 = 0.625 = 62.5%
A cone has a volume of 2560 Pi cm cubed and a height of 30cm. Find the radius
Can someone help please
Answer:
24sq.ft
Step-by-step explanation:
Area of a parallelogram = Base*HeightHere,
→Base = 6ft, Height = 4ft
→ 6*4ft
→24sq.ft
While writing area of a figure, we have to express the area in sq which means square ThankYouPlease mark me as brainliest
The blue dot is at what value on the number line?
???????
Answer:
The blue dot is -19
Step-by-step explanation:
Since every 2 ticks are worth 6 (|-10|-|-4|=6), then one tick is worth 3.
We are going backward, so we can count backward.
We have to go down 3 ticks, so -10-3=-13; -13-3=-16; -16-3=-19.
The blue dot is -19
PLEASE MARK AS BRAINLIESTAnswer: The blue dot equals to -19.
Step-by-step explanation:
On the number line, there are the numbers -10 & -4.
-7 would fit in the middle of them. That means the number line goes by minus 3.
Count -10 , -13, -16, then you get on the the blue dot which is -19.
Therefore, -19 is the answer.
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Find the exact value of x
X =
30
Do the side lengths form a Pythagorean triple?
O Yes
O No
The exact value of x is √1156 and it follows the Pythagorean triple
Finding the exact value of xFrom the question, we have the following parameters that can be used in our computation:
Legs of the right triangle = 16 and 30
Using the pythagoras theorem, we have
Hypotenuse^2 = the sum of the squares of the other lengths
So, we have
x^2 = 16^2 + 30^2
When evaluated, we have
x^2 = 1156
This gives
x = √1156
Hence, the exact value is √1156
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Is 5x + 2 = 2x + 14 a one solution or a no solution or a real number
Answer:
it would be one solution
Step-by-step explanation:
It has one solution and is also a real number, but there's no pi or square root, so i'd go with one solution for the correct answer
Answer: One solution.
x=4
Step-by-step explanation: 5x+2−2x=2x+14−2x 3x+2−2=14−2 3x/3=12/3 x=4
A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered date on the amount of diet soda remaining in the machine y for several hours after the machine is filled x the following scatter plot and line of fit was created to display the data.
Find the y interpret of the line of fit and explain its meaning in the context of the date.
A. The y-intercept is -5.1 the machine starts with 5.1 ounces of diet soda.
B. The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
C. The y-intercept is -5.1 the machine loses about 5.1 fluid ounces of diet soda each hour.
D. The y-intercept is 40.5 the machine loses about 40.5 fluid ounces of diet soda each hour.
The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
Option B is the correct answer.
We have,
From the graph plot,
We see that,
The y-intercept is when x = 0.
This means,
At 0 hours, the amount of diet soda is 40.5.
Now,
y = 40.5 means the machine starts with 40.5 ounces of diet soda.
Thus,
The y-intercept is 40.5 the machine starts with 40.5 ounces of diet soda.
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All employees in Department A attend the sales training programme. Some employees in Department A attend the technical training programme. Some employees who attend both training programmes are in Department B. Conclusion: All employees who attend the sales training programme and who attend the technical training programme are in Department A. If the assumptions are true, is the conclusion:
a. Correct
b. Cannot be determined based on the information available
c. Incorrect
Answer:
c. Incorrect
Step-by-step explanation:
According to the third sentence in assumption "Some employees who attend both training programmes are in Department B.", it is clear that there are certain employees in department B, who are attending both the training. Hence, all the employees who attend the sales training programme and who attend the technical training programme are not in Department A. Some of them are in department B as well.
Therefore, the conclusion is not correct and the final answer is:
c. Incorrect
Select the correct answer.
Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)?
A. It is the graph of f(x) where the slope is increased by 11.
It is the graph of f(x) translated 11 units to the left.
It is the graph of f(x) translated 11 units up.
It is the graph of f(x) translated 11 units to the right.
B.
C.
OD.
The correct answer is C. It is the graph of f(x) translated 11 units to the left.
The correct answer is:
C. It is the graph of f(x) translated 11 units to the left.
When we have a function of the form g(x) = f(x - a), it represents a horizontal translation of the graph of f(x) by 'a' units to the right if 'a' is positive and to the left if 'a' is negative.
In this case, g(x) = f(x - 11), which means that the graph of f(x) is being translated 11 units to the right. However, the answer options do not include this specific transformation. The closest option is option C, which states that the graph of g(x) is translated 11 units to the left.
The graph of f(x) = x is a straight line passing through the origin with a slope of 1. If we apply the transformation g(x) = f(x - 11), it means that we are shifting the graph of f(x) 11 units to the right. This results in a new function g(x) that has the same shape and slope as f(x), but is shifted to the right by 11 units.
Therefore, the correct answer is C. It is the graph of f(x) translated 11 units to the left.
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