Which choice represents the simplified form of the expression below and the values of x for which it is defined?
√3x^3 ÷ √x
A x √3 when x > 1
B x√ 3 when x < 0
C x √2x when x >0
D x√3 when x>0
Find three consecutive odd integers whose sum is between 27 and 51
Final answer:
To find the three consecutive odd integers whose sum is between 27 and 51, set up an inequality with n representing the smallest integer. Solve the inequality to find the possible values for n, which are then used to derive the consecutive integers.
Explanation:
To find three consecutive odd integers whose sum lies between 27 and 51, we need to establish variables for the integers and then solve for them. Let's call the smallest integer n, the next integer will then be n+2 (since odd numbers are two units apart), and the largest integer will be n+4. The equation will be n + (n+2) + (n+4), which simplifies to 3n + 6.
Since their sum must be between 27 and 51, our inequalities are:
27 < 3n + 6 < 51
Subtract 6 from all parts of the inequality:
21 < 3n < 45
Now, divide everything by 3:
7 < n < 15
Since n must be an odd integer, we have the options 9, 11, or 13 for n. Therefore, our sets of three consecutive odd integers could be:
(9, 11, 13), (11, 13, 15), or (13, 15, 17).
Need some help! Graph the equations y=3x-5 and x+3y=6 on the same xy-plane. What is significant about these two lines? (Explain your answer)
Thanks!
Westley is 9 yars old. He is 3 years younger than his brother, Milo. Write and solve a subtraction equstion toshow how old Milo is.
To find Milo's age given Westley's age and the fact that Westley is 3 years younger than Milo, we can set up a subtraction equation and solve for Milo's age.
Explanation:To find out how old Milo is, we can use the given information that Westley is 9 years old and 3 years younger than Milo. We can set up a subtraction equation by subtracting 3 from Westley's age.
Let's represent Milo's age as 'x'. The equation would be:
Westley's age - 3 = Milo's age
Substituting Westley's age of 9 into the equation:
9 - 3 = x
Simplifying the equation:
x = 6
Therefore, Milo is 6 years old.
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whats 22 less than a number n
Can someone help me work out this problem please?
find the slope of the line that contain the following points A(5,6),B(10,8)
Simplify: (27)^1/3•(27)^2/3
Answer:
3
Step-by-step explanation:
Because i said so
If two variables were completely correlated, their correlation coefficient would be:
Subtract 8 1/5-4 2/5. Simplify the answer and write as a mixed number.
Answer: 4 1/5
Step-by-step explanation:
Subtract 8 1/5 - 4 2/5
Simplify answer
Write as mixed number
8-4 = 4
1/5 - 2/5 = 4 1/5
Which ordered pair is on the inverse of f(x)?
Brad had a yard that he wants to fence. The dimensions of the yard are 40 feet by 55 feet. How much fencing would he need to enclose the yard?
What is the coefficient in the expression 3x/13+4?
The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
It is known that the coefficient is the constant which is in multiplication with a variable.
In general, variables are represented by x,y, and z.
The given expression is 3x/13 + 4.
Here,x is a variable therefore the term 3/13 will be a coefficient.
Hence "The coefficient is the multiplication constant with a variable thus in the expression 3x/13 + 4 the number 3/13 will be the coefficient".
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What is 0.26 repeating as a fraction
Answer:
0.26 repeating as a fraction is [tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Given : Expression 0.26 repeating.
To find : What is expression as a fraction?
Solution :
Let [tex]x=0.26666[/tex] ....(1)
Multiply both side by 10,
[tex]10x=2.666...[/tex] .....(2)
Subtract (1) and (2),
[tex]10x-x=(2.666...)-(0.2666...)[/tex]
[tex]9x=2.4[/tex]
[tex]x=\frac{2.4}{9}[/tex]
[tex]x=\frac{24}{90}[/tex]
[tex]x=\frac{4}{15}[/tex]
Therefore, 0.26 repeating as a fraction is [tex]\frac{4}{15}[/tex]
Factor the expression x^2-16x+63
When using the formula zx = x − μ σ for the z-score for the 11.7 data point:
1. x= 11.7 μ = 7
2. z11.7= 1.3
3. Is 11.7 within a z-score of 3?
a. Yes because z11.7 < 3.
4. Which statement is true of z11.7?
b. z11.7 is between 1 and 2 standard deviations of the mean.
The value of the z-score is 1.33.
What is a z-score?The z-score is defined as the mean (average) values, measured in terms of standard deviations from the mean.
The formula is used to calculate z-score is;
Z-score = X-μ / σ
= 11.7-7 / 3.52
= 4.7/3.52
= 1.33
Hence, the value of the z-score is 1.33.
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Find the sum of (x+5) and (2x+3)
14 x 2/7= please show work!!!
These fractions can be easier when we put a 1 under the 14
Lets set up our fractions like this.
[tex] \frac{14}{1} * \frac{2}{7} [/tex]
Now solve across.
14 x 2 = 28
1 x 7 = 7
Now we have this fraction.
[tex] \frac{28}{7} [/tex]
Now this also means
28 ÷ 7 = 4
So the answer to your fractions is 4.
Good Luck! <3
The ______________ between any two points on a number line is the absolute value of the difference of the coordinates.
The distance between any two points on a number line is the absolute value of the difference of the coordinates.
What is number line?Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
Since,the difference of the coordinates between any two points on a number line is the distance between the coordinates,
Let two points a and b on the number line, we define the distance between these two points as
|a−b|
where |…| is the absolute value function. As we can see, the distance between two points is always non-negative.
So, the absolute value of the difference of the coordinates between any two points on a number line is always positive.
Hence,The distance between any two points on a number line is the absolute value of the difference of the coordinates.
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12-5x-4kx=y solve for x
Angles a and b are complementary angles. if the measure of angle a is 30 more than the angle of measure b find the measures of the two ang;es
In this lesson, what kinds of exponents will be discussed?
zero exponents
fractional exponents
negative exponents
decimal exponents
square root exponents
I am 100% positive this is from a certain place called Odyssey-ware, so the answers r both negative exponents and zero exponents XD
how many solutions does 4(z-5)+2=4z-18 have
Answer:
infinitely many solutions
Red, green, and blue light rays each enter a drop of water from the same direction. Which light ray's path through the drop will bend the most, and which will bend the least? Why?
What is 3,920,000,000,000 in scientific notation? A. B. C. D.
Last year, the average math SAT score for students at one school was 475. The headmaster introduced new teaching methods hoping to improve scores. This year, the mean math SAT score for a sample of students was 481. If the teaching method had no effect, there would be roughly a 3 in 10 chance of seeing such an increase. Does the result have practical significance? Why or why not?
Answer and step-by-step explanation:
Yes, it does have practical significance.
If the method was ineffective, the chance of an increase this large was 3/10, or 30%. This means with an ineffective teaching method, there was a 100-30 = 70% chance of not seeing a score increase this large.
Since we did see a result this large, and 30% is not a very large chance, we can say that the method was most likely effective.
The difference in SAT scores is statistically significant because there's only a 3/10 chance of observing such an increase by chance. However, it might lack practical significance because a 6-point increase, although positive, is relatively small and may not have a meaningful impact in real-world terms.
Explanation:The question you're asking relates to the concept of statistical significance and practical significance in Mathematics. Statistical significance means that the difference in results (in this case, the increase in SAT scores from 475 to 481) isn't likely due to chance. You've mentioned that there's a 3 in 10 chance of observing such an increase, so statistically, the new teaching method seems to have a significant effect.
However, practical significance refers to whether the difference is meaningful in real-world terms. This depends on context and judgement. In this case, a 6-point increase in the SAT score is a positive change, but it's relatively small and might not make a substantial difference to university admissions or student's mathematical competence. Therefore, one could argue that while the result is statistically significant, it may lack practical significance.
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0.66 repeating as a fraction
I would help founding P-15=13-6p
In the right triangle ABC, CH (H is plotted on AB) is the altitude to the hypotenuse. Find the ratio of AH:HB, if the measure of BAC=30 degrees
Pls include full proof tysm!! <3
explain how ray ab an ac form both a line and an angle
Answer:
Rays AB and AC both have a point in common. That is the A point or normally called the vertex. From the point both go in different directions making a distance between both. This distance has a degree in which it separated that forms the angle. This also forms a line because both rays, in theory, are lines. They just tend to continue to infinity in just one direction.
Step-by-step explanation: