Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.
What is a square root?A real square root of a number is the value which is when multiplicand by itself gives the same value as the number posses.
Nolan used the following procedure to find an estimate for
[tex]\sqrt{18}[/tex]
Step 1:The square of the number 4 is,
[tex]4^2=16[/tex]
The square of the number 5 is,
[tex]5^2=25[/tex]
Number 18 lies between these number as,
[tex]16 < 18 < 25[/tex]
Therefore, the [tex]\sqrt{18}[/tex] is somewhere between the number 4 and 5.
Step 2:Since 18 is closer to 16, square the tenths closer to 4.
[tex]{4. 1 }^2= 16. 81\\{4. 2 }^2= 17.64\\{4. 3}^2= 18.49\\{4. 4}^2= 19.36\\[/tex]
This step is also correct, when squaring.
Step 3:Since 18.49 rounds to 18, 4.3 is the best approximation for [tex]\sqrt{18}[/tex].
All the above steps are correct.
Thus, Nolan did not make an error while estimating the square root of number 18 and his all the steps are correct.
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Answer:
The answer is C: In step 3, he should have determined which square is closest to 18.
can anyone help me please
Answer:
reflection in the line y = 2
Step-by-step explanation:
the line y = 2 is a horizontal line passing through all points with a y- coordinate of 2
shape A is 1 unit above this line
shape B is 1 unit below this line
then triangle A will map to triangle B under a reflection in this line
is 7 10 12 a right triangle
Answer:
no
Step-by-step explanation:
using the converse of Pythagoras' identity
If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.
longest side = 12 , then 12² = 144
7² + 10² = 49 + 100 = 149
since 149 ≠ 144 then the triangle is not right
Carlos builds a robot that moves on small wheels. Each wheel has six 5-inch-long metal spokes that meet in the center. What the length of an arc between two consecutive spokes?
Express your answer as a simplified fraction in terms of \piπ.
The length of an arc between two consecutive spokes is 5π/8 in.
Length of an arc
The length of an arc L = rФ where
r = radius of circle = 5 in/2 = 2.5 in and Ф = angle subtended by arc in radians = 2π/n where n = number of sectors in circle = 8So, L = rФ
L = r × 2π/n
L = 2πr/n
Substituting the values of the variables into the equation, we have
L = 2πr/n
L = 2π × 2.5 in/8
L = 5π/8 in
So, the length of an arc between two consecutive spokes is 5π/8 in.
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what is the denominator for 2/3 and 4/6
Answer:
the least common denominator for 3 and 6 is 6
Need help asap pleaseeeee
Answer: C
Step-by-step explanation:
My mother purchase my candy bars at Food lion for $13.50 what is the price per candy bar?
1.5 dollars per candy bar because 13.50 divided by 9 is 1.5 :)
Fill in the blanks below in order to justify whether or not the mapping shown represents a function
(Will mark brainliest)
Answer:
Step-by-step explanation:
Sales records at an automobile dealership show that they sold 40 red cars one month. Of
those cars, 25 were new cars and 15 were used cars. James bought a red car from the
dealership that month. What is the probability he bought a used car? Express your
answer as a decimal rounded to the nearest thousandth.
Answer:
the boy can touch the ceiling (passive voice)
Tell how many solutions each equation would have: one solution, no solutions, or infinitely many solutions. Give a justification for your answer.
5(-2x+7)+3=-10x+38
Answer:
Infinitely many solutions
Step-by-step explanation:
Infinitely many solutions because no matter what you put in for x the equations will always be true
Meredith model a division problem on the number line what division problem did she model? find the quotient
Meredith model of the division problem can be represented as a quotient
The division problem of the number line is y = 8x or y/8
How to determine the model?From the complete question, we have the following parameters:
A number line8 equal partitionsRepresent the length of the number line with y, and the quotient with x.
So, the equation of the division problem is:
x = y/8
Rewrite as:
y = 8x
Hence, the division problem of the number line is y = 8x or x = y/8
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Find the distance between the points (8, 2) and (0, 8)
Answer:
10
Step-by-step explanation:
-7.79+9.55 what does this equal?
Answer:
1.76
Step-by-step explanation:
theoretically, if a card is drawn at random 500 times, how many times would you expect to get a spade?
Answer:
[tex]\frac{1}{650}[/tex]
Step-by-step explanation:
There are 52 cards in a deck. 4 of them are aces. Hence, one probability of you drawing an ace is [tex]\frac{4}{52}[/tex], or [tex]\frac{1}{13}[/tex]. 13 times 500 is 650. Hence, the answer is 1/650.
Carter's account has gone into overdraft. His balance is $-43.3. To get back to a positive balance, he plans to deposit money at a steady rate of $24.05 per week. How much will be in his account after 7 weeks?
Answer:
125.05
Step-by-step explanation:
Used a calculator lol
23. Which point has a horizontal distance of 4 units and a vertical distance of 5 units from (6, - 4)?
O (11, -9)
O (1,0)
O (2, 1)
O (-2,3)
Answer:
(2,1)
Step-by-step explanation:
The point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To determine the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4), we can use the given coordinates as a reference.
Starting from (6, -4), a horizontal distance of 4 units means we will move 4 units to the right or left on the x-axis.
we move to the left.
This brings us to the x-coordinate of 6 - 4 = 2.
Next, a vertical distance of 5 units means we will move 5 units up or down on the y-axis. Since we want a positive vertical distance, we move up.
This brings us to the y-coordinate of -4 + 5 = 1.
Therefore, the point with a horizontal distance of 4 units and a vertical distance of 5 units from (6, -4) is (2, 1).
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Rosa has 14 meters of string . She uses 8 .25 meters for a kite . How much string does Rosa have left?
Answer:
5.75
Step-by-step explanation:
14 - 8.25 = 5.75
What is z? z/100 = 6/4
Answer:
150/100
Step-by-step explanation:
Answer:
z= 150
Step-by-step explanation:
The common factors of 8xy, IOx2y and 12xy2
Step-by-step explanation:
Factors of 8xy: 2 2 2 x y
Factors of 10x2y: 5 2 2 x y
Factors of 12xy2: 2 2 2 3 x y
Find the numbers or variables they all have in common.
solve for x – 3 + 2 < 10
x-3 + 2 < 10
x - 1 < 10 .... combine like terms
x-1+1 < 10+1 ... add 1 to both sides
x < 11 is the answer
If you need to graph it, then place an open circle at 11 on the number line. Shade to the left.
if x - 3 + 2 is less than 10 then you would solve this question like this,
x - 3 + 2 < 10
x -(3+3) + 2 < 10 + 3
x + 2 < 13
x +(2-2) < 13 - 2
x < 11
7) Choose the inequality that represents the statement.
The water level will be 10 feet or lower by tomorrow.
The water level will be 10 feet or lower by tomorrow, the correct inequality for this is x [tex]\leq \\[/tex] 10. Hence, the first option is the correct one.
What is inequality?A connection in mathematics that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line. To indicate various sorts of inequalities, a variety of notations are used:
A less than symbol (a < b) indicates that an is less than b.A bigger value than b is indicated by the notation a > b.These relationships are referred to be stringent inequalities since an is either strictly less than or strictly greater than b in these cases.
According to the question,
water will be equal to 10 feet or lower than 10 feet it cannot be greater than 10 feet.
Assume water is represented by x.
For water equal to 10 feet: x = 10 feet and,
For water lower than 10 feet: x < 10 feet.
So, we can write both like this: x [tex]\leq[/tex] 10
This concludes that the first option is correct.
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f(t)=6+30t-16t^2 How do you think the squared term -16t^2 affects the value of the function f? What does this term reveal about the situation?
Answer:
F(t)=6t+15t^2−16/3 t^3 + C
Step-by-step explanation:
hope this helps
Question 3 of 10
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x^3+ 5x^2 – 8x – 20 = 0
Answer:
2x^3-8x+5x^2-20
2x(x^2-4)+5(x^2-4)
(2x+5)(x^2-4)
(2x+5)(x+2)(x-2)
A television station shows 3 commercials every 12 minutes. At that rate, how many commercials will the station show in 60 minutes?
Answer:
zqxwsecdvrfr
Step-by-step explanation:
On Tuesday, the temperature was 14°F. The next day it was 7° warmer. However, the wind chill temperature was 25° colder than the actual temperature. Victor says the windchill temperature is -18°F. Is he correct? Explain your reasoning.
In order for an investment, which is increasing in value exponentially, to increase by a factor of 5 in 20 years, about what percent does it need to grow each year?
The investment that increase by a factor of 5 in 20 years, has a growth of 8.38% per year.
What is an exponential function?An exponential function is in the form:
y = abˣ
Where y,x are variables, a is the initial value of y and b is the multiplication factor.
Given that an investment increasing in value exponentially, to increase by a factor of 5 in 20 years. Hence:
Factor per year = [tex]5 ^\frac{`1}{20}=1.0838[/tex]
Growth per year = 1.0838 - 1 = 0.0838 = 8.38%
The investment that increase by a factor of 5 in 20 years, has a growth of 8.38% per year.
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Evaluate the function f(x)=5-3x when x=-1 and 3
Answer:
f(-1)=8
f(3)=-4
Step-by-step explanation:
when x equals -1 you substitute -1 for x in the equation which would look like 5-3(-1) which you would then multiply -3 by -1 and get 3 which 5+3 would equal 8 so f(-1) equals 8
When x equals 3 you substitute 3 for x in the equation which would look like 5-3(3) which you would then multiply -3 by 3 which would give you 5-9 which equals -4 so f(3) equals -4
I NEED HELP PLEASE ITS DUE AT 1:00am
Answer:
c
Step-by-step explanation:
When it says 5(4+8)
It means
5 x 4 + 5 x 8
But you could also say that as
5(4) + 5(8)
Since
5 x 4 and 5(4) are the same
Hope this helped you
:-)
sin2A+sin2B+sin2C÷4cosA/2.cosB/2.cosC/2
An expression is shown 3/5 divided by 5/8
Hey there!
In order to divide fractions, we should multiply the first fraction by the reciprocal of the second one.
let me clarify:
[tex]\bold{\displaystyle\frac{3}{5} :\frac{5}{8}}[/tex]
flop 5/8 over:
[tex]\bold{\displaystyle\frac{3}{5} :\frac{8}{5}}[/tex]
and now multiply
[tex]\bold{\displaystyle\frac{3}{5} *\frac{8}{5}}[/tex]
[tex]\bold{\displaystyle\frac{24}{25}}[/tex] (Answer)
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
you owe your sister $5.35, and she lends you another $4.50, how much do you owe her now