B. locate and plot (square root of)15 on a number line. find a better approximation using decimals.
Answers
The number line for √15 is shown in the figure and the value of √15 is approximately 3.87298.
Number line:
Number line used for visual representation of numbers on a straight line.
Given:
Here we need to locate and plot √15 on a number line.
Steps for the construction:
Step 1) Draw a line AB that is 15 in length, and then add 1 to C so that the distance from A to C is 16.
Step 2) From the midpoint of A C on the line, use your compass and make a half circle from A to C.
Step 3) Draw a vertical line up from B until it touches the red half circle you made in Step 2.
Step 4) From B on the number line, use your compass and make a quarter circle from D to E.
The square root of 15 is the distance from B to E. To make things clearer, we have also created the illustration below showing where B, E, and the square root of 15 are located on the number line, labeled with numbers instead of the half circle, quarter circle and vertical line.
Based on the steps the number line is looks like,
Therefore, The square root of 15 (√15) is approximately 3.87298.
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Related Questions
Open the cpt manual to the page that contains code 40490. what section of the cpt coding manual is this code listed in?
Answers
The section of the CPT coding manual is the code 40490 is listed in is "digestive system."
What is CPT codes?CPT is the language used by providers and payers when billing medical procedures and services for reimbursement.
Some key features regarding the CPT codes are-
CPT or Current Procedural Terminology, is a set of medical codes used to describe the procedures and services performed by physicians, allied health care professionals, provided by trained practitioners, healthcare facilities, outpatient facilities, and laboratories.CPT codes, in particular, are used to notify services and procedures to both federal and private payers for repayment of rendered healthcare services.CPT codes were developed by the American Medical Association (AMA) in 1966 to standardize reporting of medical, surgery, and diagnosis and treatment procedures and services performed in both inpatient and outpatient settings. Each CPT system defines a written description of a process or service, removing the need for the patient's subjective interpretation of what was provided.To know more about the CPT codes, here
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Write two expressions that represent the volume of the cube, one with exponents and one without.
Answers
Which kind of symmetry does the letter D have?
Answers
Answer:
D has a horizontal symmetry.
Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072. What percent simple interest does the account earn per year?
Answers
The percent of simple interest that the account has will be 7.2%.
How to calculate the rate?From the information, Kehlani invests money in an account paying simple interest. No money is added or removed from the investment. To find the balance after a year, she multiplies her current balance by 1.072.
The percent of simple interest that the account has will be:
= 1.072 - 1
= 0.072
= 7.2%
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2.2 question 7) Which lines are perpendicular? The_____ lines are perpendicular (blue and green) How do you know? The product of their slopes is....
Answers
HELP ME QUICK PLEASE!!
Manny took home a couple of his friends after soccer practice. He originally had 4 gallons of gas in his car. He used 1.05 gallons of gas to take one friend home and three tenths gallon to take the other friend home. How much gas did he have left in his car after taking both friends home?
A: 1.04 gallons
B: 2.95 gallons
C: 3.70 gallons
D: 2.65 gallons
Answers
So
0.3 + 1.05 = 1.35
To work out how much gas he has left:
4-1.35= 2.65
Answer=D
D) 2.65 gallons of gas left in his car after taking both friends home when 1.05 gallons of gas is used to take one friend home and three tenths gallon to take the other friend home.
Manny used 1.05 + 0.3 = 1.35 gallons of gas to take his friends home.
Since he originally had 4 gallons of gas, he had 4 - 1.35 = 2.65 gallons of gas left in his car after taking both friends home.
So the answer is D.
Here is the solution in more detail:
Manny started with 4 gallons of gas.
He used 1.05 gallons of gas to take one friend home.
He used 0.3 gallons of gas to take the other friend home.
The total amount of gas he used was 1.05 + 0.3 = 1.35 gallons.
Therefore, he had 4 - 1.35 = 2.65 gallons of gas left in his car.
I hope this helps! Let me know if you have any other questions.
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Is the equation always, sometimes, or never true?
Answers
Answer:
never
Step-by-step explanation:
-1=0 is not possible
each problem, create a table
Write an equation, in slope-intercept form, to model each situation.
1. You rent a bicycle for $20 plus $2 per hour.
Y=2x120
Answers
Answer:
You have a fixed cost ($20) and a variable cost ($2*number of hours you rent the bike)
Cost = Variable Cost + Fixed Cost
Let y = your Cost and x = the number of hours you rent the bike. The fixed cost is $20.
y = ($2 per hour)*(x hours) + $20
y = 2x + 20
Simplify 150\sqrt{150}
150
Answers
The required solution of the given expression is 12.247.
What is expression?An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.
Given:
The given expression is
[tex]\frac{150}{\sqrt{150} } \\[/tex]
Simply or simplification is reducing the expression/fraction/problem in a simpler form. A fraction is in simplest form if the top and bottom have no common factors other than 1.
The process of making something less complicated and therefore easier to do or understand, or the thing that results from this process.
According to given question we have
[tex]\frac{150}{\sqrt{150} } \\[/tex]
We know that the square root of 150 is 12.247.
By putting the value we have
150/12.247
= 12.247.
Therefore, the required solution of the given expression is 12.247.
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PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG
Answers
Answer:
37/30
Step-by-step explanation:
what is 11 9/8 as a mixed number in the simplest form
Answers
Answer:
97/8
Step-by-step explanation:
first we multiply 11 x 8 to get 88
then we add the numerator (number on top,9) so we add 88+9 to get 97
now we can write our answer
97/8
it cannot be simplified any more than this.
i hope this helped and if you have any questions just ask!
Use the graph to determine
A) The function’s domain
B) The function’s range
C) The X-intercepts
D) Y-intercepts
E) The missing function values indicated by question marks below
Answers
Answer:its C
Step-by-step explanation:
they x will intercept when you do it right
The following addition problem is not correct if the numbers are interpreted as base 10. In what number base is the problem correct? 66 87 85 48
Answers
The base is 24.
Let the base be b. we know that b>8
If we added everything, it would look something like this:
66 + 87 + 85 + 48
=132
Adding up the one's digit gives us 26, so we have 26 mod b=2
The only options for b are b = 12 or 24.
If b = 12, the sum of the one's digit would be [tex]22_{12}[/tex] so we could carry the 2 to the tens column. Adding everything up would give us [tex]24_{12}[/tex] the answer is [tex]242_{12}[/tex]
That means the base is 24.
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Write the rational number 36/5 as a decimal
Answers
Answer:
36/5 as a decimal is 7.2
Step-by-step explanation:
In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".
When we calculated 36 divided by 5, we found that 36/5 in decimal form is:
36 ÷ 5 = 7.2
Therefore, the decimal form of 36/5 is 7.2
My number is less than 50. - it is a factor of 70. - it is a multiple of 5 and 7. what is minnu's number? a. 5 b. 35 c. 14 d. 70
Answers
Answer:
B) 35
Step-by-step explanation:
35 is less than 50 and it's a factor of 70, a multiple of 5 and 7 is 35 just by multiplying the numbers it will give you that answer.
Name the angle in as many different ways as possible.
Answers
Answer:
WXZ, ZXW, 1
Step-by-step explanation:
whats the set of all prime numbers
Answers
Answer:
Step-by-step explanation:
prime numbers are numbers that are divisible by 1 and itself such as 2,3,5,7,11
there are also types of prime numbers which i recommend reading: https://en.wikipedia.org/wiki/Category:Classes_of_prime_numbers
Which expression is equivalent to (2^-1)^3
Answers
The solution is [tex]\frac{1}{8}[/tex] .
To understand this problem we need to know the concept of surds and indices, powers and exponents.
If we write [tex]x^{2}[/tex] it means that x must be multiplied by itself two times.
But if we write [tex]x^{-2}[/tex] it means [tex]\frac{1}{x^{2} }[/tex].
Which means if an number has negative power then it must be written in the inverse format to make it positive.
Given here is [tex](2^{-1})^{3}[/tex]
⇒[tex](\frac{1}{2}) ^{3}[/tex]
⇒[tex]\frac{1}{8}[/tex] is the required solution of the problem.
This can also be solved in other ways by multiplying the powers and then inverting the fraction to make it positive.
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________ is a statistical measure of how much scores in a sample vary around the mean. multiple choice normal distribution standard deviation frequency accuracy
Answers
Standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
What is the standard deviation?The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
Therefore, the standard deviation is a statistical measure of how much scores in a sample vary around the mean. The correct option is B.
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There are two squares with the same side lengths scaled copies of one another explain your reasoning
Answers
A square is a rectangle with equal lengths on each side. The two squares with the same length side will be lengths scaled copies of one another.
A rectangle whose all sides are equal is called a square.
A square is always a rectangle, parallelogram, and a quadrilateral but its reverse statement may or may not be true.(ie it is not always necessary that a rectangle is a square or a parallelogram is a square).
As it is known that two squares are always similar to each other which is because all the angles of a square are always 90°. Therefore, any two squares are always similar to each other.
Now, as it is given that the two square have the same length sides. Therefore, the two squares with the same length side will be lengths scaled copies of one another. This is because all the sides are equal and all the angles are equal.
Hence, the two squares with the same length side will be lengths scaled copies of one another.
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can someone solve this please, thank you
Answers
Answer:
110
Step-by-step explanation:
13x - 20 + 7x = 180
20x -20 = 180
20x = 200
x = 10
13(10) - 20
=110
HELP ME DO THESE PROBLEMS PLS THANK YOU
Answers
Answer:
6. 7
7. 32
8. -17
9. -24
10. 6 ft
Step-by-step explanation:
6: 2(3) +1
6+1=7
7: 16-4(-4)
16+16=32
8: 12(-2)+7
-24+7=-17
9: -9-3(5)
-9-15=-24
10: 24-3(6)
24-18=6
How+long+will+it+take+for+$2900+to+grow+to+$25,600+at+an+interest+rate+of+10.4%+if+the+interest+is+compounded+quarterly?+round+the+number+of+years+to+the+nearest+hundredth.+group+of+answer+choices
Answers
The number of years to the nearest hundredth is t = 21 years and 3 months.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
It is given that:
A = $25,600
P = $29,00
r = 10.4 = 0.104
n = 4
[tex]\rm 25600 = 2900(1+\dfrac{0.104}{4})^{4t}[/tex]
After solving:
t = 21.212 years
Or
t = 21 years and 3 months
Thus, the number of years to the nearest hundredth is t = 21 years and 3 months.
The complete question is:
How long will it take for $2900 to grow to $25,600 at an interest rate of 10.4% if the interest is compounded quarterly round the number of years to the nearest hundredth?
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Can someone please solve it ?
Answers
Answer:
A. because all of the numerators are larger than the denominators, there will be a product left over.
Step-by-step explanation:
hi please help me ii need this one right now
Answers
Answer:the graph is not linear
Step-by-step explanation:
Find the equation of the given table in slope intercept form. The answer must be in y=mx+b format! Please show work asap!!
Answers
Answer: y = 6.75x + 6
Step-by-step explanation:
Answer:
y=6.75x+6
Step-by-step explanation:
y=mx+b
we can find it by doing [tex]\frac{y^{2}-y^{1} }{x^{2} -x^{1} }[/tex]
I'm going to choose 2,19.5 and 5,39.75
[tex]\frac{39.75-19.5}{5-2}[/tex] we get [tex]\frac{20.25}{3}[/tex] simplified to 6.75
now we know that the slope is 6.75 we can find the y-intercept by plugging in one pair, I'm going to put the 2,19.5 in
19.5=(6.75)2+b then multiply 6.75 by 2
19.5=13.5+b then subtract 13.5 from both sides to remove the 13.5 on B to separate it
6=b so the y-intercept is 6
a building in a city has a rectangular base. the length of the base measures 65ft less than three times the width. the perimeter of this base is 910ft. what are the dimensions of the base?
Answers
The dimension of the base of the rectangular building is 340 x 135ft.
Perimeter of Rectangle:
The definition of perimeter of the rectangle is the total length or distance of its boundary on all sides.
The general formula to calculate the Perimeter of a rectangle is,
P = 2(l + w)
Where,
l represents the length of the rectangle
w represents the width of the rectangle.
Given,
The building in a city has a rectangular base. the length of the base measures 65ft less than three times the width.
The perimeter of this base is 910ft.
Now, we need to find the dimensions of the rectangular base.
According to the given details, the values of
L = 3W - 65
W = W
P = 910
Apply the values on the formula, then we get,
=> 910 = 2 * (L + W)
=> 910/2 = (L + W)
=> 455 = L + W
Apply the value of L,
=> 475 = 3W - 65 + W
=> 475 + 65 = 4W
=> 540 = 4W
=> 540/4 = W
=> W = 135
Apply the value of W as 135, in order to get the value of L,
=> L = 3*135 - 65
=> L = 405
=> L = 340
Therefore, the dimension of the rectangular base is 340 x 135 ft.
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Which statement correctly explains how Mari could find the solution to the following system of linear equations using elimination?
Multiply the first equation by 7 and the second equation by 2, and then add.
Multiply the first equation by 3 and the second equation by 5, and then subtract.
Multiply the first equation by –7 and the second equation by 2, and then add.
Multiply the first equation by –3 and the second equation by -5, and then subtract.
Answers
Multiply the first equation by 7 and the second equation by 2, and then add.
2f - 5g=-9
-7f + 3g=4
To eliminate any variable , we need to make the coefficients same with different sign and add it
the coefficient of 'f' in first equation is 2
the coefficient of 'f' in second equation is -7
We already have different sign so we make the coefficients same
To make the coefficient same , we multiply the first equation by 7 and second equation by 2
So equation becomes
14f - 35g = -63
-14f + 6g = 8
Now when we add both equations, 'f' gets cancelled
-29g = -55
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Answer:
A
Step-by-step explanation:
Edge2022
How much money did billy start with if he saves 19 dollars in 5 days?
Answers
EXPLANATION: 19 / 5
Identify a counterexample for the following statement:
"If a number is a perfect square, then it can't end with a 1."
Answers
Answer:
81
Step-by-step explanation:
81 is a perfect square, and also ends with 1.
