Estimate the following square and cube roots by using the above process. Circle
any Rational Roots.
Please help❗️❗️❗️❗️❗️
Answers
The estimates of the square roots and cube roots using the attached process are;
1) √15 = 3.81
2) √44 = 6.6.
3) √81 = 9
4) ∛12 = 2.88.
5) ∛125 = 5
6) ∛320 = 6..8
The process we are to follow is shown in the attachment. The first thing we are to do is to list all the perfect squares from 1 to 100 and then do the same for all perfect cubes from 1 to 1000.Perfect squares from 1 to 100; 4, 9, 16, 25, 36, 49, 64, 81, 100
Perfect cubes from 1 to 1000; 1, 8, 27, 64, 125, 216, 343, 512, 729 and 1000.
1) √15;
The nearest perfect squares to it are; 9 and 16
Thus; √9 < √15 < √16
⇒ 3 < √15 < 4
This means that √15 is between 3 and 4.
Since 15 is closer to 16 than 9, it means √15 is closer to 4 and thus, we can estimate √15 as 3.81.
2) √44;
The nearest perfect squares to it are; 36 and 49
Thus; √36 < √44 < √49
⇒ 6 < √44 < 7
This means that √44 is between 6 and 7.
Since 44 is closer to 16 than 9, it means √44 is closer to 6 and thus, we can estimate √44 as 6.6.
3) √81
This is a perfect square and the method used to estimate other non-perfect square doesn't apply here. Thus; √81 = 9
4) ∛12
The nearest perfect cubes to it are; 8 and 27
Thus; ∛8 < ∛12 < ∛27
⇒ 2 < ∛12 < 3
This means that √12 is between 2 and 3.
Since 12 is closer to 8 than 27, it means ∛12 is closer to 2 than 3 and thus, we can estimate ∛12 as 2.88.
5) ∛125
This is a perfect cube and the method used to estimate other non-perfect cubes doesn't apply here. Thus; ∛125 = 5
6) ∛320
The nearest perfect cubes to it are; 216 and 343
Thus; ∛216 < ∛320 < ∛343
⇒ 6 < ∛320 < 7
This means that ∛320 is between 6 and 7.
Since 320 is closer to 343 than 216, it means ∛320 is closer to 7 than 6 and thus, we can estimate ∛320 as 6..8
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Related Questions
Most television showsUse 13 minutes of every hour for commercials leaving the remaining 47 minutes for the actual show. One popular told me that she wants to change the ratio of commercial time to Showtime to be 3:7. Which way would have left commercials if the if you were still watching for two hours?
Answers
Answer:
Step-by-step explanation:née
Jamal has two trails. the first trail is 5 1/3 miles long, and the second trail was 1 3/4 times as long as the first trail. how many miles did Jamal walk?
Answers
Answer:
The correct answer is Jamal hiked [tex]14\frac{2}{3}[/tex] miles.
Step-by-step explanation:
To solve this math problem, you will need to convert mixed numbered fractions, into improper fractions.
To do that, you will need to multiply the whole number with the denominator (Ex: 5 × 3 = 15), then when you receive the answer, add the answer with the numerator (Ex: 15 + 1 = 16), finally, you should receive a new answer, and to finalize the improper fraction, you always need to keep the denominator the same (Ex: The denominator is 3 so use the new answer as a numerator replacement. [tex]\frac{16}{3}[/tex])
--
After you have converted all the mixed numbers into improper fractions in the math problem, you are then able to use multiplication.
--
But first we have to calculate how long the second trail was.
[tex]\frac{7}{4} *\frac{16}{3} =7*\frac{4}{3} =\frac{28}{3} =9\frac{1}{3}[/tex] miles. Then, convert the mixed number into improper. ([tex]\frac{28}{3}[/tex])
--
Now add the number of miles of both trails.
[tex]\frac{16}{3} +\frac{28}{3} =\frac{44}{3} =14\frac{2}{3}[/tex]
With the result as: [tex]14\frac{2}{3}[/tex]
Lin is paid $86 for 4 hours of work how much would she be paid at this rate for 9 hours of work?
Answers
Answer:
173.5
Step-by-step explanation:
The answer is 173.5
To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below
[tex]86/4=21.5[/tex]
Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below
[tex]9x21.5=173.5[/tex]
Thus, that is how much money Lin will be paid after 9 hours of work.
Hope this Helps!
guys…..am i hot?????
Answers
Answer:
just btw there is no pic lol
Step-by-step explanation:
Which set of numbers are rational numbers but not integers, whole numbers, or natural numbers? PLEASE HURRYYYYYY!!!!!!
Answers
Examples of rational numbers are 1/2, -3/4, 0.3, or 3/10
What is the slope of the line on the graph?
Answers
Answer:
5/12
Step-by-step explanation:
It goes up 5 and over 12.
PLS HELP WILL MARK BRAINLIEST!
A horse travels at about 65 kph. At this rate, how far can it travel in 20 minutes
Answers
Answer: Approximately 21.667 km
This value as a fraction is 65/3, but I think the decimal form is probably more practical in real world settings.
======================================================
Work Shown:
20 min = 1/3 of an hour, since 20/60 = 1/3. In other words, there are three chunks of 20 minutes that make up a full hour.
distance = rate*time
distance = (65 kph)*(1/3 hr)
distance = (65*1/3) km
distance = (65/3) km
distance = 21.667 km which is approximate
Answer:
Distance rate=Rate x Time
Distance= (75 km/h) 20 mins
Convert 20 mins in hours= 1/3 h
Distance= (75 km/h) (1/3 h)= 25 km.....
listen ok
Step-by-step explanation:
hope it help
are the following triangles similar? if so state the reason.
not similar
SAS
SSS
AA
Answers
The triangles are not similar.
What is similarity in triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
The Given triangle ZXB and DZN are not similar
Because,
XZ/DZ =XB/DN ≠ ZB /BN
XZ/DZ = 1/2
XB/DN = 1/2
ZB /BN = 1/3
Hence, the triangles are not similar.
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The table below shows Amelia's earnings on the job.
Time (hours) Earnings (dollars)
4
$108.80
9
$244.80
17
$462.40
How long does it take her to make $414.80?
Answers
Answer:
15.25 hours
Step-by-step explanation:
her pay per hour is $27.2
414.80÷27.2=15.25
Can someone help me out???
How could you use the hexagon you constructed to create a 12-sided figure?
Answers
Answer:
to create this figure, connect the three sets of opiate points of the hexagon. Construction angle bisectors for each new angle, creating six new intersections with the circle, for a total of 12 points. Connect the points to make a regular 12-sided polygon.
Step-by-step explanation:
I NEED HELP ASAP PLEASE NO LINKS!!!
Answers
Answer:
1/8
Step-by-step explanation:
I looked it up lol
Answer:
1/8
Step-by-step explanation:
2^-3
= 1/2^3 ( The reciprocal of the negative exponent is positive).
= 1/8
Please select the correct answer. ^ that means to the power of. (14x^3y^-4)(4x^-5y^4) A. 56/x^2 B. 56x^2y C. 56y/x^2 D. 56x^2
Answers
Step-by-step explanation:
Which of the statements about the graph below is true the first answer
Answers
Answer:
yes the first answer hope you get it right
Solve for x -29+11=3x - 6x ???
Answers
Answer:
the right answer is x = 9/2
Mary Seitz invested a certain amount of money in a savings account paying 3% simple interest per year. When she withdrew her money at the end of 3 years, she received in $3900 interest. How much money did Mary place in the savings account?
Answers
Answer:
351
Step-by-step explanation:
3%=0.03
3900*0.03*3=351
PLSSSS HELP ME WITH THIS QUESTION!!!
Answers
Answer:
18 since you have 13nd 3 that equal
Jack has 10
Kathy has 23
Vanessa has 26
10+23+26=59
To solve basically make Jacks money=x
Therefore
Kathys money= x+ 13
Vanessas money= x+13+3 (she has three more than Kathy cause it says Kathy has three less than her)
All of these terms together and make them equal to 59, combine like terms and solve for x (jacks money) which is 10
help me my people plzzzzzzzzzzz
Answers
Answer:
31,500
Step-by-step explanation:
Hope this helps!
Solve 4a = 20
solve 3y + 9 = 24
solve y/3 - 5 = 4
solve 3=9 - 4k
solve 6w=4w=9
solve 3x + 8 = 2
please answer with an explanation
60 points given
Answers
Here's the solutions :
1. solve for a :
[tex]4a = 20[/tex][tex]a = \dfrac{20}{4} [/tex][tex]a = 5[/tex]2. solve for y :
[tex]3y + 9 = 24[/tex][tex]3y = 24 - 9[/tex][tex]3y = 15[/tex][tex]y = \dfrac{15}{3} [/tex][tex]y = 5[/tex]3. solve for y :
[tex] \dfrac{y}{3} - 5 = 4[/tex][tex] \dfrac{y}{3} = 5 + 4[/tex][tex] \dfrac{y}{3} = 9[/tex][tex]y = 9 \times 3[/tex][tex]y = 27[/tex]4. solve for k :
[tex]3 = 9 - 4k[/tex][tex]3 - 9 = -4 k[/tex][tex] - 6 = - 4 k[/tex][tex]k = \dfrac{ - 6}{ - 4} [/tex][tex]k = \dfrac{3}{2} \: \: \: or \: \: 1.5[/tex]5. there's something wrong with this question.
6. solve for x :
[tex]3x + 8 = 2[/tex][tex]3x = 2 - 8[/tex][tex]3x = - 6[/tex][tex]x = \dfrac{ - 6}{3} [/tex][tex]x = - 2[/tex]i hope it helped...
HELP PLS DUE IN 5TH PERIOD AND IT 3RD PERIOD RNN
Answers
Answer:
Step-by-step explanation:
Just plot them in the right location we really can't help with that
3/4 - 1/6 what is it ?
Answers
Answer:
7/12 or 0.58333333...
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
write an equation of the line that has each pair of intercepts
x-intercept: 6 y-intercept: 3
Answers
Answer: y = 6x+3
Step-by-step explanation:
someone please help. Giving brainliest!!
Answers
Answer:
A. None of these
Step-by-step explanation:
The largest perfect square under 100 would actually be 81 (9 x 9)
90 and 99 are not perfect squares and 64 is smaller than 81.
Answer:
a. none of these
Step-by-step explanation:
10 * 10 = 100, so 100 is a perfect square.
The next smaller perfect square is 9 * 9 = 81, but 81 is not in the choices.
Answer: a. none of these
5+4(-20)
Be sure to consider the order of operations!!
Answers
Answer:
[tex]5 + 4( - 20) \\ 5 + ( - 80) \\ 5 - 80 \\ = - 75[/tex]
I hope I helped you^_^
Answer:
5+4(-20)
Step-by-step explanation:
So you do the one's in parentheses first, which is -20, and then you do 5+4 which is 9
Can someone pls help me out
Answers
Answer:
option a. similar;AA similarity; triangle plm
Camille's science class is making slime from cornstarch and glue. Camille is helping pass out materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Camille's class has a total of 18 students, how many ounces of cornstarch will she have left?
Answers
Answer:
8 ounces
Step-by-step explanation:
16oz/lb
16*5= 80oz of cornstarch in bucket
4oz * 18students = 72oz
80-72= 8 oz remaining
The amount of cornstarch left is 8 ounce.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each student get = 4 ounce of cornstarch
Total number of student = 18 students
And, Total amount of cornstarch = 5 pound
Here,
Since, Amount of total cornstarch to student = Each student get × Total number of student
⇒ Amount of total cornstarch to student = 4 × 18
⇒ Amount of total cornstarch to student = 72 ounce
Since, 1 pound = 16 ounces
So, We get;
⇒ Total amount of cornstarch = 5 × 16
⇒ Total amount of cornstarch = 80 ounces
Thus, Amount of cornstarch left = 80 - 72
⇒ Amount of cornstarch left = 8 ounces
Learn more about the multiplication visit:
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Solve for X
A) -6
C) 12
E) 9
B) 8
D) 3
Answers
Answer:
In my thinking the answer is 9.
Find the coordinates of the vertices of the figure after the given transformation.
translation: (x, y) (x - 4, y + 4)
)
A)
J'(1,0), N'(5,0), M (5,3), P (2,5)
B)
J'(-2,5), N'(2,5), M (2, 2), P'(-1,0)
J'(-3, 4), N (1, 4), M'(1, 1), P'(-2,-1)
D)
J'(-1,0), N'(-5,0), M'(-5, -3), P"(-2,-5)
Answers
Answer:
b
Step-by-step explanation:
because b look like a great answer
please help me solve this problem please
Answers
Answer:
I think that the bottom is multiplying by 4 to get the rest for the bottom
Find the unknown angle measures.
In an isosceles triangle two of the angle measures are equal and one is not. The unequal angle measure is 77 degrees. The whole triangle is 180 degrees. Find the unknown measures
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let the unknown equal Angle measures be x
now, according to question :
[tex]x + x + 77 = 180[/tex][tex]2x = 180 - 77[/tex][tex]2x = 103[/tex][tex]x = \dfrac{103}{2} [/tex][tex]x = 51.5 \degree[/tex]hence, the unknown equal angles are 51.5° each !!
solve the inequality. 2y ≥ 4
Answers
Answer: y≥2
Step-by-step explanation:
Step-by-step explanation:
[tex]2y \geqslant 4[/tex]
[tex]y \geqslant \frac{4}{2} [/tex]
[tex]y \geqslant 2[/tex]
