Given :
An irrational number , [tex]x=\sqrt{31}[/tex] .
To Find :
Two consecutive whole numbers that square root of 31 lies between.
Solution :
We know , square root of 36 is 6.
Also, square root of 25 is 5.
Now, we can see that [tex]\sqrt{31}[/tex] lies between 5 and 6. Also, both 5 and 6 are consecutive.
Therefore, between 5 and 6 is the solution.
Hence, this is the required solution.
The consecutive whole numbers that the square root of 31 lies between will be 5 and 6.
Consecutive numbers simply refers to the numbers that follow each other in a particular set.
The square root of 31 is 5.57
Therefore, it can be noted that 5.57 will be between 5 and 6.
Therefore, the numbers are 5 and 6.
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What is the value of x?
Answer:
x=70
Step-by-step explanation:
180-45=2x-5
135=2x-5
135+5=2x
140=2x
x=70
Five new dresses have been sewn. Chelsea did 1/7 of the total sewing. What fraction of each dress did Chelsea sew?
Answer:
1/35
Step-by-step explanation:
We can use proportion.
5 dresses --- 1/7
1 dress ---- x
x = 1*1/7: 5= 1/7 *1/5 = 1/35
1200 frogs in population 12 out of 180 have spots
What is another name for angle 1?
Answer:a
Step-by-step explanation:
i think
PLEASE HELP ASAP!!!!
Step-by-step explanation:
F(x) =x^2
G(x) =x-3
G(f(x))
= (x^2) -3
F(f(x))
= (x-3)^2
(x-3)(x-3)
x^2 -6x+9
For the second one
1/(x-3)
x-3 ≠ 0
x ≠ 3
So the domain restriction = 3
Answer:
i agrey with other guy
Step-by-step explanation:
Put these numbers in order from greatest to least.4, 5/8, 15/40, -28/32.
Answer:
-28/32,15/40,5/8,4.
B is a subset of A g Let set A = {a, b, c} and let set B = {b, c, d}
a. True
b. False
Answer:
False
Step-by-step explanation:
A subset is a set whose elements belong to another set
If B is a subset of A, B would contain elements of A
For example, A = {a, b, c} and if B is a subset of A , B = { a, b}
Find the sample variance and standard deviation.
4, 57, 10, 51, 37, 22, 31, 30, 26, 29
Answer:
Step-by-step explanation:
25 324 796657
7( + 3) − 1 = 5( + 4) + 2
Answer: 20 22
Step-by-step explanation:
Hey there! ☺
[tex]Answer:\boxed{\text{FALSE}}[/tex]
[tex]Explanation:[/tex]
7(+3) - 1 = 5(+4) + 2
7(3) - 1 = 20 Multiply 7 by 3 and subtract 1
(5)(4) + 2 = 22 Multiply 5 by 4 and add 2
20 = 22 is the answer.
20 = 22 is FALSE.
Hope this helps!
What is the answer of 3y=2x in a fraction?
Answer:
you cant simplify further
Step-by-step explanation:
A number to the 12th power divided by the same number to the 9th power equals 343. What is the
number?
The number is
Answer:
5
Step-by-step explanation:
Explanation:
Let's call our number
a
. The statement written as a formula is
a
12
a
9
=
125
We can simplify the fraction, and we have
a
3
=
125
To solve for
a
, take the third root of both sides:a
=
(
125
)
1
3
=
5
Solve for j.
j/-2+7=-12
j=
Determine what is the distance from the point to the origin?
Hint : the point is half way between both integers
Answer:
4.5
Step-by-step explanation:
0 is the origin.
0-(-4.5)=
0+4.5=4.5
What is the zero of the following function, f(x) = –(2/7) x − 10?
Answer:
Step-by-step explanation:
the zeros of a function f are found by solving the equation f(x) = 0. Example 1. Find the zero of the linear function f is given by. f(x) = -2 x + 4 I hope this helps.
What is the solution set for the molar concentration of
hydrogen ions to have a pH less than 2.25?
O (0, 0.005623)
0 (0.005623,00)
O 0, 0.0005623)
0 (0.0005623,00)
Answer: B
Step-by-step explanation:
I got it right on Edge
Answer: B
(0.005623, ∞)
Step-by-step explanation:
solve the absolute value equation. Ix-3I=9
Answer:
x=3
Step-by-step explanation:
3x+4y+5z+2x-2y need help please
Answer:
5x + 2y + 5z
Step-by-step explanation:
Step 1: Write out expression
3x + 4y + 5z + 2x - 2y
Step 2: Combine like terms (x)
5x + 4y + 5z - 2y
Step 3: Combine like terms (y)
5x + 2y + 5z
QUESTION 3
1 POINT
Factor: 81c2 - 4w2
Provide your answer below:
(9c + 2w) (9c
2w)
I’m not sure if my answer correct
Answer:
Your answer is correct
(9c+2w)(9c−2w)
Step-by-step explanation:
...
A triangle has side lengths of 8, 15 and 17 units. What is the area of the triangle, in square units?
Answer:
60
hope this helps... have a great day!!!
The car Colleen is driving gets 23 1/3 miles per gallon of gas. She used 4 1/5 gallons of gas going from her home to her grandparents' home. She used another 4 1/10 gallons traveling from her grandparents' home to her cousin's apartment. What was the total distance Colleen drove?
The first thing you want to do is make the fractions improper . Then what you want to do next is add up the gallons of gas she used from her home to her grandparents' home and the gas she used from her grandparents' home to her cousins and you see what 21/5 + 41/10 is and you get 8.3 , So that's means she used 8.3 miles of gas and she has 15.3 gallons of gas left over because she started out with 23.3 miles .
Consider the function f(x) = round(x), which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your answer.
Answer:
No, it's not a one-to-one function
Step-by-step explanation:
Given
[tex]f(x) = round(x)[/tex]
Required
Determine if this function is one-to-one
I'll answer this question using the following illustrations;
Assume x = 4.6
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.6) = round(4.6)[/tex]
[tex]f(4.6) = 5[/tex]
Also assume x = 4.8
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.8) = round(4.8)[/tex]
[tex]f(4.8) = 5[/tex]
More generally;
[tex]4.5 \leq\ x\leq\5.4[/tex]
Would result in:
[tex]f(x) = 5[/tex]
Since, there's a always a possibility of f(x) having one value for various values of input x, then we can conclude that the function is not a one-to-one function
The function f(x) = round(x) is not one - to - one since different input values of X could yield the same output.
One - to - one functions refers to functions which yield a different output for every input value given. Since, the function rounds input values of x to the nearest integer ;This means that ; some input values of x would produce similar output.For instance :
Given that x = 1.4
f(x) = round(x)
f(1.4) = round(1.4)
Output = 1 ( nearest integer)
Thus output will be the same for all values of x greater than equal to 1 and less than 1.5 (1 ≤ x < 1.5)Since, different input values of X could yield the same the output, then the function is not one - to - one.
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I will mark branliest for ever Andrews first and it’s also 40 points
1. Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?
5/10 divide ?/?= 1/2
2. 12/15 divide ?/? = 4/5
3. 10/12divide ?/? = 5/6
4. 14/18 divide ?/? = 7/9
Answer:
see below
Step-by-step explanation:
5/10 divide ?/?= 1/2
5/10 divide by 5/5 = 1/2
2. 12/15 divide ?/? = 4/5
12/15 divide by 3/3 = 4/5
3. 10/12divide ?/? = 5/6
10/12 divide by 2/2 = 5/6
4. 14/18 divide ?/? = 7/9
14/18 divide by 2/2 = 7/9
I need to find the median and mean of a set of 8 numbers
8,8,10,10,10,12,13,16
Answer:
median = 10
mean = 10.9
Step-by-step explanation:
These are the answers because:
1) Whenever, there is an even set of numbers for the median, you have to take the two middle numbers in the number set given and then add them. After you add them, you have to divide them by 2.
In this case, it would be:
10 + 10 = 20
20/2 = 10
2) 10.9 is the answer for mean because first, you need to add all the numbers in the set. If you add
8 + 8 + 10 + 10 + 10 + 12 + 13 + 16 you would get 87. Then, you have to divide by how many numbers there are in the number set. In this case it would be 87/8 which is 10.875
Once you round it, you will get 10.9
Hope this helps!
where is the midpoint of ab when A(6,7) and B(-5,-9)
Answer:
The answer is
[tex]( \frac{1}{2} \: , \: - 1)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(6,7) and B(-5,-9)
The midpoint is
[tex]M = ( \frac{6 - 5}{2} \: , \: \frac{7 - 9}{2} ) \\ = ( \frac{1}{2} \: , \: - \frac{2}{2} )[/tex]
We have the final answer as
[tex]( \frac{1}{2} \: , \: - 1)[/tex]
Hope this helps you
M is the midpoint of segment AB. If AM = 4x – 22 and MB = 2x + 14. Solve for x
Answer:
x=18
Step-by-step explanation:
am=by which means you can make the equations equal each other
4x-22=2x+14
2x=36
x=18
The mean number of accidents a week at a company is 6.4 with a standard deviation of 1.5. What proportion of weeks would you expect to have less than 5 accidents?
Answer:
0.17619
Step-by-step explanation:
We solve using z score formula
= z = (x-μ)/σ,
where x is the raw score = 5 accidents
μ is the population mean = 6.4 accidents
σ is the population standard deviation = 1.5
z = 5 - 6.4/1.5
= -1.4/1.5
= -0.93333
Approximately to 2 decimal places = -0.93
Determining the probability value from Z-Table:
P(x< 5) = P(z = -0.93) = 0.17619
Converting this to percentage =
The probability of weeks you would expect to have less than 5 accidents is
0.17619
We are asked in the question:
What proportion of weeks would you expect to have less than 5 accidents?
Proportion is also the same as:
Therefore, the proportion of weeks that you expect to have less than 5 accidents = 0.17619
17.62% of the accidents would be less than 5 accidents.
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ \mu=mean,x=raw\ score,\sigma=standard\ deviation[/tex]
Given that μ = 6.4, σ = 1.5:
For x < 5 accidents:
[tex]z = \frac{5-6.4}{1.5}=-0.93[/tex]
From the normal distribution table, P(x < 5) = P(z < -0.93) = 0.1762 = 17.62%
17.62% of the accidents would be less than 5 accidents.
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The distance between (-4,6) and (3,-7)
Hey there! I happy to help!
Here's how to find the distance between any two points.
Find the difference between the x values.
-4-3=-7
Square it.
-7²=49
Find the difference of the y values.
6-(-7)=6+7=13
Square that.
13²=169
Add up the two numbers you got.
169+49=218
And square root it.
√218≈14.76.
Have a wonderful day! :D
On a map of Cyan City, 1 inch represents a distance of 4 miles. What length on the map represents a
distance of 1 mile?
Answer:
253440 milesStep-by-step explanation:
This exercise desires to test our knowledge of units conversion,
now, given that on the map 1 inch represents 4 miles
the distance of 1mile when converted to inches ordinarily would be
1mile is 63360 inches
since on the map
1 inch represents 4 miles
63360 inches represents Xmiles
cross multiply we have
X would be = 63360*4
On a map one mile would be 253440 miles
What were the factor(s), levels, and treatments for this experiment?
Step-by-step explanation:
A factor is an independent variable that is manipulated in an experiment.
Every factor has two or more levels, which are different values of the factor.
A combination of factor levels is called a treatment.
There is one factor: number of jumps.
This factor has two levels: sets of 10 and sets of 20.
For a single factor experiment, the levels are also the treatments: Jump 10 program and Jump 20 program.
Find the time needed for
a $500 to gain an interest of $150 at 7.5% rate.
Answer:
4 years
Step-by-step explanation:
This is a problem in simple interest: i = prt, where:
p is the principal (intial amount), i is the interest, r is the annual interest rate and t is the time in years.
i
Solving i = prt for t, we get t = ------
pr
$150
which comes out to t = --------------------- = 4 years
($500)(0.075)
