Answer:
See below, please.
Step-by-step explanation:
[tex] \frac{ {(4a - 3b)}^{3} }{c + 5} \\ \ \\ = \frac{ {(4 \times ( - 2) - 3 \times ( - 3))}^{3} }{3 + 5} \\ = \frac{ {(( - 8) - ( - 9))}^{3} }{8} \\ = \frac{ {( - 8 + 9)}^{3} }{8} \\ = \frac{ {1}^{3} }{8} \\ = \frac{1}{8} [/tex]
Estimate the following square and cube roots by using the above process. Circle
any Rational Roots.
Please help❗️❗️❗️❗️❗️
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
Read more at; https://brainly.in/question/39745029
An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? painting preference and total number of students painting preference and number of students in class 1 class number and painting preference class number and number who prefer oil.
Answer:
C.) class number and painting preference
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
the answer is C I believe
Step-by-step explanation:
When you have two perpendicular lines that cross at the midpoint, what is the degrees if the angles ?
A( 180
B(90
C(360
Answer:
B) 90
Step-by-step explanation:
Perpendicular lines always meet at a 90 degree angle.
Answer:
B{90 but it depends which way like it could be A{180 but i'm pretty sure B
Step-by-step explanation:
common since
What is the equation of the vertical line through (-8,5)(−8,5)left parenthesis, minus, 8, comma, 5, right parenthesis?
ول
니,
If Susie takes a test with 50
questions and gets 4/5 of them
correct, how many questions did
she miss?
Answer:
10
Step-by-step explanation
4/5=40/50 50-40= 10.
What is the equation of a line that is parallel to the line y = 5x – 1 and passes through the point (4, –3)? A. y = 5x + 19 B. y = –5x + 17 C. y = 5x – 23 D. y = –15x – 115
Answer:
y = 5x - 23
Step-by-step explanation:
Slope: 5
Point (4, - 3)
y-intercept: -3 - (5)(4)
= -3 -20 = -23
y = 5x - 23
WORTH 50 POINTS HELP ASAP WILL GIVE BRAINLIEST!
The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?
18% decrease
22% decrease
18% increase
22% increase
18% decrease
Hope this helped you-have a good day bro cya)
Answer:
The percent change is an 18% decrease.
Step-by-step explanation:
There are 144 people in an audience. The ratio of adults to children is 5 to 3. How many children are in the audience.
Answer:
In the audience, there are 90 adults and 54 children
Step-by-step explanation:
If we have 5 adults for every 3 children, we would continue this pattern by saying we have 10 adults for every 6 children, 15 adults for every 9 children, and so on.
We can express this situation into an equation by saying 5x + 3x = 144
8x = 144
x = 18
So now we know there are 5(18) = 90 adults for every 3(18) = 54 children
In the audience, there are 90 adults and 54 children
Answer:
In the audience, there are 90 adults and 54 children
Step-by-step explanation:
I hope this helps ♡
I need help with my homework I’m not good at math. Anyways the question is
| -6|
Answer:
the answer is 6
Step-by-step explanation:
the absolute value is how far from 0 the number is on the number line. -6 is 6 away from 0
The living room in the house has an area of 78 square feet and a width of 12 feet. What is the length of the room?
Answer:
6.5 feet
Step-by-step explanation:
the formula for the area is A=l*w l=length w=width
A=l*w
78=l*12
Divide both sides by 12
78/12=6.5
The best-selling book Samantha has been waiting for hit the shelves at $21.56. What percent discount was this off the cover price of $26.95?
Answer:
20%
Step-by-step explanation:
First you must find the difference between the original price ($26.95) and the discounted price ($21.56)
26.95-21.56=5.39
Second find x
% of = #*x
Meaning
5.39=26.95*x
Divide 5.39 by 26.95
0.2=x which equals 20%
What is the domain of function p?
p(x)=√x-1 + 2
Answer:
the domain is (x ≥ -1 ) if you need it in interval notation it is (-1, infinity )
HelppppppppConsider the graph.
Answer:
okay
Step-by-step explanation:
o-k-a-y
solve the inequality. 1/3x + 6 ≥ -1
Answer:
x_>_ -21
Step-by-step explanation:
that's the answer trust ........... n nnmmmm
adele started her homework at 9:10 she finished at 9:45
Find the value of x.
Answer:
[tex]x = 88[/tex]
Step-by-step explanation:
the degrees of a triangle = 180. write an equation adding the angle measures given
[tex]48 + x - 44 + x = 180[/tex]
collect like terms on the left
[tex]2x + 4 = 180[/tex]
subtract 4 from both sides
[tex]2x = 176[/tex]
divide both sides by 2
[tex]x = 88[/tex]
Write the domain and range of the function represented below. (2,9), (3, 4), (-1,2), (6, 1)
Domain:
Range:
Answer:
Domain: { 2 , 3 , − 1 , 6 }
Range: { 9 , 4 , 2 , 1 }
Step-by-step explanation:
name two pairs of perpendicular lines
Answer:
AC is perpendicular to CD, and DB is perpendicular to AB
At the start of his work day, Mr. Eriksen had 20 boxes of light bulbs tested and ready to be shipped. On average, he can test 40 boxes of light bulbs each hour. Of the 40 boxes tested each hour, he sets aside 5 boxes for retesting. The remaining boxes are marked as ready to be shipped.
A: Mr. Eriksen's situation can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these values represent in terms of the situation.
B: Write an equation in slope-intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.
Answer:
See belowStep-by-step explanation:
Initial value is 20 as there are already 20 boxes ready for shipment.
Each hour 40 - 5 = 35 boxes are ready for shipment
The linear function for this case is:
y = 35x + 2035 is the slope or rate of change, 20 is the y-intercept.
y- the number of boxes ready for shipment after x hours.
helppp nowww
write 0.05199 to 3 significant figures
Answer:
Sig Figs
4
0.05199
Decimals
5
0.05199
Scientific Notation
5.199 × 10-2
E-Notation
5.199e-2
Words
zero point zero five one nine nine
Please help me I really need your help ASAP
in order to find the answer to your questions you need to find the value
Example:
y+10=18
y=8
Helpppppppppppppppppppppppppppp
Answer:
it would be A-28.66
Step-by-step explanation:
just divide the total bill by the number of months.
Answer:
The apple question is b and the bill question is a
Step-by-step explanation:
for the apple question you multiply 1.89 by 2.4 and round to the nearest 10th
for the bill question you divide 85.98 by 3 which gives you 28.66
Which step should be performed first when simplifying 18−3+11×2+5?
-3+11
2+5
18-3
11x2
Answer:
11 x 2
Step-by-step explanation:
By BODMAS rule,
B - Brackets
O - Orders
D - Division
M - Multiplication
A - Addition
S - Substraction
Consider DMAS alone.
Here, there is no division.
So,
Multiplication ( x ) should be the first step.
The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.
First, complete the equation:
?
=
Future Amount = 16 (1 + 0.09)
个
个
time
initial amount
periods
growth rate
Answer:
8
Note: I got it right on the same test you took as me.
The value of time period for the equation is 8.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The population of insects is increasing by 9% each week = 0.09
At the beginning of the experiment, number of insects = 16
Number of insects increased per week
⇒ [tex]16+16(0.09)[/tex]
Let the time period be x.
Number of insects increased after 8 weeks can be found by the equation,
[tex]Future Amount = 16 (1 + 0.09)^{x}[/tex]
⇒ [tex]Future Amount = 16 (1 + 0.09)^{8}[/tex]
Hence we can conclude that the value of time period for the equation is 8.
Learn more about word problems here
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Do you know what 0.009 x 75 is if you do can you help me
Answer:
.0675
Step-by-step explanation:
Three children's tickets to the circus cost
$53.85. Two adult tickets to the circus
cost $63.90. How much more does
1 adult ticket cost than 1 children's ticket?
Answer:
$14
Step-by-step explanation:
53.85 divided by 3 is 17.95
63.90 divided by 2 is 31.95
31.95-17.95=14
Answer: $14
Step-by-step explanation:
First find out how much each child's ticket costs. 53.85/3 = 17.95. Then find of the same thing for an single adult ticket. 63.90/2 = 31.95. Finally we subtract both numbers 31.95-17.95= 14 dollars. Thats your answer
6 square root x 6 square root x 6 square root
Answer:216
Step-by-step explanation:
If the difference of a number and two is tripled, the result is six more than the number. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
6
Step-by-step explanation:
let the number be x
(x-2)3=x+6
3x-6 = x+ 6
2x= 12
x= 6
A compound inequality using the variable x is [] or []
Answer:
x is -7.5 or -4.5
Will give brainliest to best answer
Simplify please
-7(3e + 4) + 6e - 2
Answer:
-30 - 15e
Step-by-step explanation:
given -7(3e + 4) + 6e - 2, we can distribute -7 to parenthesis
-21e - 28 + 6e - 2, then we add like numbers
-15e - 30
Answer:
-15e - 30
Step-by-step explanation:
-7(3e + 4) + 6e - 2
Simplify:
-21e + (-28) + 6e - 2 (distribute -7 to 3e + 4)
-21e + 6e - 28 - 2 (combine like terms)
-15e - 30 (combine like terms)
-Chetan K