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
Help I’ll mark as brainliest pls!!!!!
Answers
Answer:
B: Distributive property
Step-by-step explanation:
It is distributive because Robert distributed 3 to x and 2 to make the equation 3x+6=21.
Write each power as repeated
multiplication. Calculate.
a) 25 c) 106 e) 1.22
b) 253 d) 34 f) 0.42
Answers
Answer:
a) 2⁵ = 2×2×2×2×2
b) 25³ = 25×25×25
c) 10⁶ = 10×10×10×10×10×10
d) 3⁴ = 3×3×3×3
e) 1.2² =1.2×1.2
f) 0.4²=0.4×0.4
Step-by-step explanation:
Translate the sentence into an equation.
Two more than the quotient of a number and 4 equals 8.
use the variable c for the unknown number.
Answers
Step-by-step explanation:
2 + c/4 = 8
2 more than the quotient of equals 8
a number and 4
19. Name four points.
20. Name two line segments.
21. Name three rays.
22. Name two angles.
23. Name the line three ways.
Answers
Answer:
2 angles are acute and right angles
Step-by-step explanation:
acute is less then 90 degrees and a right angles is 90
I need help pls and thx
Answers
Answer: 21√10
Step-by-step explanation:
Answer:
Answer: 21√10
Or Decimal: 66.41
If Jose’s house is at -6,8 Tyrell’s house is at 6,8 the football field is at 6,-5 and Jose went to Tyrell’s house then to the football field how far did Jose travel to football practice
Answers
Answer:
25 = units Jose travelled
Jh to Th = x moves 12 across
and y moves 0 is constant (up/down or constant)
Th to FF = x moves 0 stays constant and y moves 13 left
12 + 13 = 25
The purpose of this exercise is concerning parabolas = curve equations
x has two points x = -6 and x = 6
y has two points y = -5 and y = 8
however we cant plot this as ANSWER without using all the coordinates
y has one answer unit at 13 and not shown in an equation if it was the y intercept or curve mid point it would be a straight line and not a curve at 13 we can therefore set y to zero 0 as mid point curve when drawing the curve.
Then to find the each unit change we could prove with straight line upon the parabola by first using the straight line equation formula y-y1 = m(x+x1)
Straight line equation
Plug in Jose's coordinates given in the question.
Therefore y - - 6 = 6 (x + 8 ) = y+6 = 6x + 46 multiply out
= y+6 = 6x + 46 -6 cancel out with -6
= y = 6x+40
the answer therefore becomes y=6x+40
Plug in the same for Tyrell coordinates given in the question.
y - 6 = -6 (x + 8 ) = y-6 = -6x + 46 multiply out
= y-6 = -6x - 46 + 6 cancel out with +6
= y = -6x+52
and is a decrease of 6 i various ways.
Plug in for Football field coordinates given in the question.
y-6 = -6(x -5)
= y -6 = -6x +30
= y = -6x + 30+6
= y = -6x + 36
Shows constant 6 and -6 for m the slope and 46-36 = 10 decrease each side from 0 being the curve mid point on x line. down into the mid curve |
= 10+10 to represent each side = 20 then +5 = 25
As the shift in the curve makes negative positive and positive negative.
= 25 units
Please help with this math problem ASAP! I will give brainliest!
Answers
Step-by-step explanation:
x = 112°
y = z = 180° - 112° = 68°
Pls help, and fast!!! i clicked a on accident
Answers
Answer:
i think it's A
Step-by-step explanation:
[tex]3\frac{1}{2} * \frac{1}{6}\\ \frac{7}{12}[/tex]
expand and simplify
3-2(k-2)-7(2k-3)
Answers
Answer:
- 16k + 28
Step-by-step explanation:
3 - 2(k - 2) - 7(2k - 3) ← distribute parenthesis
= 3 - 2k + 4 - 14k + 21 ← collect like terms
= - 16k + 28
Answer:28−16k
Step-by-step explanation:
3−2(k−2)−7(2k−3)
Use the distributive property to multiply −2 by k−2.
3−2k+4−7(2k−3)
Add 3 and 4 to get 7.
7−2k−7(2k−3)
Use the distributive property to multiply −7 by 2k−3.
7−2k−14k+21
Combine −2k and −14k to get −16k.
7−16k+21
Add 7 and 21 to get 28.
28−16k
A toy store is having a sale. A video game. System has an original price of $99 it is on sale for 40% of the original price. Find the sale price of the game system. Round to the nearest cent
Answers
Answer:
The answer is 59.40
Step-by-step explanation:
round 523 to the nearest ten
Answers
Answer:
523 to the nearest ten is 520
Can I get help on 1,2 and 5?
Answers
Answer:
Question 1: [tex]x=4[/tex]
Question 2: [tex]x= \pm7[/tex]
Question 5: The dimensions of one face of the container are 6 by 6 inches.
Step-by-step explanation:
Hi there!
Question 1
[tex]x^3=64[/tex]
Rewrite 64 as a power of 3:
[tex]x^3=4^3[/tex]
(We could find that 4³ = 64 through trial and error)
This above equation makes it true that x=4. If aⁿ = bⁿ, then a=b:
[tex]x=4[/tex]
Question 2
[tex]x^2=49[/tex]
Rewrite 49 as a power of 2:
[tex]x^2=7^2[/tex]
Again, we could have found this through trial and error, or by looking at our multiplication tables.
[tex]x=7[/tex]
However, remember that positive and negative numbers will all square to be a positive number. So, therefore, x can be -7 OR 7 (since both, when squared, equal 49):
[tex]x= \pm7[/tex]
Question 5
Let x be equal to the length of one edge of the cube.
Volume of a cube formula: [tex]V=x^3[/tex]
Plug in the given information, when V is the volume:
[tex]216=x^3[/tex]
Rewrite 216 as a power of 3:
[tex]6^3=x^3[/tex]
^ We could have found this through trial and error.
[tex]x=6[/tex]
Therefore, the dimensions of one face of the container are 6 by 6 inches.
I hope this helps!
tell whether the following sequence is geometric or not. If geometric find r
—
hi can someone please answer my question i really need the complete step-by-step solution. thank you.
Answers
Answer:
not geometric because of the 4 at the beginning
Answer:
NoStep-by-step explanation:
We can observe the difference of terms is constant:
d = 1/3The sequence is arithmetic, not geometric.
hey guys pls help mee!!! numbers between 2/3 and 8/9???
Answers
Answer:
kindly see attachment carefullyStep-by-step explanation:
hope it helpsAnswer:5 rational numbers are 19/27, 20/27, 21/27, 22/27, 23/27
Step-by-step explanation:
Which relation is a function?
Answers
Answer:
2nd one from the top
Step-by-step explanation:
it is x=1
What is seven divided by 2?
Answers
Hardest question in the world
Answers
Answer:
ytuty
Step-by-step explanation:
tyjtyjtyjtyjt
Answer:
17) postdate, postcard, postage, postmark...
18) banalities
Step-by-step explanation:
I can solve the first word: Post
**From Merriam-Webster Dictionary:
banality (noun) - (plural) banalities
0.8% of 150 is what numbers and how do you write the equation with a variable in it.
Answers
Answer:
1.2
Step-by-step explanation:
1. First, we have to write an equation with a variable! Given 0.8%, we know that it's equal to (0.8/100), and "of" means to multiply. Therefore, the equation will looks like this: [tex]\frac{0.8}{100} * 150 = x[/tex]
2. Now, let's solve for x!
[tex]\frac{0.8}{100} * 150 = (0.008)(150)[/tex] [tex](0.008)(150) = \frac{6}{5}[/tex] [tex]\frac{6}{5} = 1\frac{1}{5}[/tex] [tex]1\frac{1}{5} = 1.2[/tex] [tex]1.2[/tex]Therefore, 0.8% of 150 is 1.2!
3x = 4у + 12 .
What is the y intercept
Answers
Answer:
I think it is y=-3
Step-by-step explanation:
Answer:
y=-3
Step-by-step explanation:
WILL BRAINLIST !!!!!!!!
Answers
Step-by-step explanation:
1) 432000000
2) 1050000
3) 82310000000
4) 0.000231
5) 0.00007.
hope this helps you.
This is due in 20 minutes, help, please.
Sergio spent $65 at the gas station. He paid $3 per gallon for gas and $7 on candy and soft drinks. How many gallons of gas did Sergio buy?
Write a algebraic equation for the word problem above.
Question 1 options:
3 + 7 + g = 65
65 + g = 7
7g + 3 = 65
3g + 7 = 65 (What I chose)
Question 2
Write an algebraic equation for the word problem below.
How old am I if 226 reduced by three times my age is 133?
Question 2 options:
3a - 226 = 133
226 - 3a = 133 (My answer)
133 - 3a = 226
3a - 226 = 133
Question 3
rite an algebraic expression for the word problem below.
The sum of three consecutive numbers is 72. What are the three numbers?
Question 3 options:
3n = 72
1 + 2 + 3 = 72
a + b + c = 72
n + (n + 1) + (n + 2) = 72 (My answer)
Question 4
Write an equation for the word problem below.
It costs $5 plus $2 per mile to ride in a taxi. Hannah took a taxi from her house to school this morning. She paid the taxi driver $25 when she got to the school. How many miles is it from Hannah's house to her school?
Question 4 options:
2m + 5 = 25
5m - 2 = 25
25 + 2m = 5
5m + 2m = 25 (My answer)
Question 5 (Unsure if I'm correct)
rder the steps for writing an algebraic equation from real life word problems.
Question 5 options:
2
Identify all the important information
3
Define the variable
4
Write an equation using the important information and the variable
1
Read through the entire problem
Answers
Answer:
1) You were right
2) Also correct
3) Again, correct
4) Wrong, the correct answer is 2m + 5 = 25
5) Correct
Step-by-step explanation:
1) Sergio spent a total of 65 dollars at the gas station. He spent 3 dollars per gallon and 7 on snacks.The equation will be:
3g + 7 = 65
2) 226 reduced by ( - ) 3 times your age ( 3a ) is ( = ) 133?
226 - 3a = 133
3) The sum of three consecutive numbers is 72.
n + ( n + 1 ) + ( n + 2 ) = 73
4) It cost 5 plus 2 per mile.The total spent was 25
2m + 5 = 25
5)
1. Read the entire problem.
2. Identify all the important info.
3. Define the variable
4. Write an equation using the important information and the variable
For my Homework tomorrow
Answers
What is EF?
A. 26
B. 28
C. 30
D. cannot be determined from information given
Answers
Answer:
EF is 26 did you go to school at all god
Answer:
26
Step-by-step explanation:
please help i need this done soon!!
Answers
Answer:
f(2) = -2
Step-by-step explanation:
plug in 2 to wherever x is in this statement:
f(2) = -2(2^2) - 2(2) + 10
f(2) = -2(4) - 4 + 10
f(2) = -8 - 4 + 10
f(2) = -2
-2(4) -2(2) +10
-8 -4 +10
=-2
Multiply.
[−427⋅(−18)]⋅(−389)⋅(−1)
What is the product?
Answers
Answer:
300/1 or 300
Step-by-step explanation:
I took the quiz
The product of the given numbers is 29,89,854.
The given expression is [(−427⋅(−18))⋅((−389)⋅(−1))].
What is product of integers?Integers are the set of whole numbers and their opposites. When you multiply integers, the numbers that you are multiplying are called factors. Your answer after multiplying is called a product.
Product of negative and negative integers is positive.
Now,
(−427⋅(−18)) = 7686
((−389)⋅(−1)) = 389
7686 × 389 = 29,89,854
Therefore, the product of the given numbers is 29,89,854.
To learn more about the product of integers visit:
brainly.com/question/16941498.
#SPJ5
100 Points and I WILL mark brainliest for first correct answer.
Someone do this again bc I'm confused!
Use the mapping (x+3, y-5), for the transformation of triangle ABC with vertices A (-2, -4), B (0, 0), and C (1, -3), find the coordinates of the new triangle A’B’C’. You must show all your work.
Answers
Answer:
A(1,-9), B(3,-5),C(4,-8)
Step-by-step explanation:
Mrs. Smith drives 4 hours at an average speed of 100 km/h. How far did she travel?
Answers
Answer:
400 km
Step-by-step explanation:
distance = speed * time
d = 100km/h * 4h
d = 400km
Please give details for all of them please and thank you I’m not very smart lol
Answers
Answer:
Step-by-step explanation:
it needs to be a clearer image for me to be able to answer
Help solve ONLY 8 AND 9 plz
plz answer this question
Answers
Answer:
x=26.8
Step-by-step explanation:
Help please! I need this done soon
Answers
Answer:
y = 3
Step-by-step explanation:
It has to be parallel to the x axis
the coordinates to the point is (6,3)
so to be parallel to x-axis y must always be 3 in this question
so y = 3 is the answer
Have a nice day! :-)