Answers
Answer:
9x(3x-2) (3x+2)
Step-by-step explanation:
[tex]81x^{3}-36x[/tex]
9(9x³ - 4x)
9x(9x² - 4)
Since both terms are perfect squares factor using the difference of squares formula, a² - b² = (a + b) (a - b)
Therefore, 9x(3x-2) (3x+2)
Answer:
81z^3-36z = 9z(3z-2)(3z+2)
Step-by-step explanation:
(81z^3-36z)=9z(9z^2-4)
9z(9z^2-4)=9z(3z-2)(3z+2)
81z^3-36z=9z(3z-2)(3z+2)
81z^3-36z=9z(3z-2)(3z+2)
Related Questions
A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted
Answers
Answer:
1800.
Step-by-step explanation:
If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 = 25!/ (25-2)!
= 600.
If the first number is M or P the number is the same so that makes 1800 possibilities.
48 mouse traps/6 people = X mouse traps/1 person
Answers
Answer:
8 mousetraps
Step-by-step explanation:
to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.
Duke swims 0.10 mile in 2 minutes. If he swims at the same speed, how many miles does Duke swim in a minute, written as a decimal?
Answers
Duke swims 0.05 miles in a minute.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Duke swims 0.10 mile in 2 minutes.
Now,
Since, Duke swims 0.10 mile in 2 minutes.
Thus, Speed = 0.10 / 2
Speed = 0.05 mile per minute
And, He swims at the same speed.
Thus, Distance in 1 minute,
Speed = Distance / Time
0.05 = Distance / 1
Distance = 0.05 miles.
Thus, Duke swims 0.05 miles in a minute.
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2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a
diameter of 3 millimeters has a resistance of 0.4 ohm, find the resistance of a wire having the same
length and a diameter of 8 millimeters.
Answers
Answer:
[tex]0.225 \Omega =225 m\Omega[/tex]
Step-by-step explanation:
We know (Ohm second law) that [tex]R= \frac{k}{d^2}[/tex] where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= [tex]0.4\cdot9 \Omega mm^2[/tex]. The moment the diameter becomes 8mm R becomes
[tex]R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega[/tex]
what is the sum of 25.234 and 14.454
Answers
What is the sum of 25.234 and 14.454
25.234
14.454
_______ +
39.688
25.234 + 14.454 = 39.688 ✔️
Explain the equivalence of 7 divided by 2 or 7/2and using words.
Answers
Answer:
so this is what i think im not sure but ot will be seven dived by two . i hope this works
I need it asap thanks
Answers
Answer:
Point-slope form: y - 3 = -6/5 (x + 5)
Slope-intercept form: y = -6/5x - 3
Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.
Answers
Answer:
$15,000
Step-by-step explanation:
Let P represent Aiden's current pay.
If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.
P + 0.15P = 17250
1.15P = 17250
P = 17250/1.15 = 15000
His salary before the increase was $15,000.
Answer:
$14662.5
Step-by-step explanation:
Aiden receives a pay rise of 15%
increases their pay to $17,250
15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase
Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?
Answers
The interest rate of Jill's account as described is; 0.51%
The amount invested by Jill is $7,972.
According to compound interest;
A = P {1 + (r/n)}^nt.In which case;
A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15Therefore;
$16,876.72 = $7,972 (1 + r/1)^(1×15)$16,876.72/$7,972 = (1 + r/1)^(1×15)2.117 = (1 + r/1)^(1×15)[tex]1 + r = \sqrt[15]{2.117} [/tex]
1 + r = 1.051r = 1.051 - 1r = 0.051The interest rate is therefore; 0.51%
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3. About 31% of the people who come to the park bring a dog. One third of people who come to the park
exercise. Which group of people represents a larger percent of the people coming to the park
Answers
Let all people be 100%
Now
People bring dog=31%
1/3rd of people
[tex]\\ \sf\longmapsto 100/3=33.3\%[/tex]
Second group people has larger percentage
What is the y-intercept?
Answers
Answer:
y- intercept = 4
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses the y- axis
In this case that is the point (0, 4 ) , then
y- intercept = 4
Simplify 9 - 3(5-4x)
Answers
Answer:
12x-6
Step-by-step explanation:
9-3(5-4x) distribute
9-15+12x subtract
-6+12x rearrange
12x-6
fraction and percent word problem
From 2012 to 2014, the cost of limes fell by 20%. Farmers increased the cost of limes by 20% from 2012 to 2013. How much did the cost fall from 2013 to 2014, after the farmers were removed?
(A) 20%
(B) 33.3%
(C) 50%
(D) 66.6%
(E) 80%
Answers
Answer:
Step-by-step explanation:
Ruth bought two watermelons. The first watermelon was 21.6 pounds, and the second watermelon was 9.07 pounds. How many pounds of watermelon did Ruth buy?
pounds
Juan spent $2.50 on apples and oranges. He bought 5 apples at $0.36 each. What is the most he spent on the oranges?Please this is for my homework
Answers
Answer:
$0.70
Step-by-step explanation:
5 × $0.36 = $1.80
$2.50 - $1.80 = $0.70
I hope this helped!
The graph shows the savings in Andre's bank account. What is the slope of the line?
Answers
Answer:
m=5
Step-by-step explanation:
you have to use the formula y2-y1/x2-x1.
y2= 60
y1= 40
60- 40= 20
x2= 4
x1= 0
4-0= 4
20/4= 5
hope this helps
PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer:
d. took the test
Step-by-step explanation:
Find each missing measure in the diagram below.
EF=(
m2F=d
3.
232
18 in
23
E
E
Answers
Answer:
EF= 18 in. , m<F=134'
Step-by-step explanation:
This ones for the boys with the booming system, top down ac with the cooling sytem
45 divided by 855 show your work!
Answers
Answer:
45 divided by 855 is a very odd number however 855 divided by 54 is 19 ... because 45 multiply by 19 is 855
Solve the Quadratic equation
8n²-56=48n
Answers
Answer:
n = {-1, 7}
Step-by-step explanation:
8n² - 56 = 48n
Subtract 48n from both sides
8n² - 48n - 56 = 0
Divide both sides by 8
n² - 6n - 7 = 0
Factor
alternately use the quadratic equation or complete the square
(n - 7)(n + 1) = 0
n = {-1, 7}
Help ASAP!!!!!
A. 1/4
B. 4
C. - 1/4
D. –4
Answers
Answer:
D. -4
Step-by-step explanation:
solve for x. round to the nearest tenth of a degree, if necessary
Answers
A principal of $4100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 5 years?
Use a calculator and round your answer to the nearest dollar.
Answers
Answer:
yy is the comparative narrow of speech to me happy and a bit in a sentence
Step-by-step explanation:
ami and a are of a and or very place argument you the have important X does the be for to gays found teacher you be use single be
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Answers
Answer:
107
Step-by-step explanation:
Because, 36+35=71
and 71+36=107
Answer:
107
Step-by-step explanation:
not that hard bro
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answers
Answer:
2/1 or 20/10
Step-by-step explanation:
the line moves up 2 times every 1 time it moves right.
2 times a number less 4 is 20
Answers
Answer:
68?
Step-by-step explanation:
Answer:
The answer is 8
Step-by-step explanation:
Let the number be x
4x- 12=20 (12 less than 4 times a number is 20)
4x= 20 +12
4x=32
x=8
Hope this helps!!
Identify the similar triangles.
ΔHFE=
ΔHFE=
Answers
∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)
The given triangle ΔHFE is similar to triangle GFH and triangle GHE.
What are similar triangles?Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.
Here,
Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG
Similarly
ΔHFE is similar to triangle ΔGHE.
Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.
Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.
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Simplify.
–36 + (–74)
–110
–100
38
110
Answers
-------------------------------
- 36 + (-74)
- 36 - 74
- 110
<3
Divide.
1.61÷0.35
Enter your answer in the box.
Answers
The image point of A after a translation right 4 units and down 2 units is the point B(4,−5). Determine the coordinates of the pre-image point A.
Answers
Answer:
THE ANSWER
Step-by-step explanation:
Hope it helps❤️
Answer:
(0, -3)
Step-by-step explanation:
Faith is purchasing coffee beans for her shop.
one type of coffee bean costs $10 for every 4 pounds
the shop uses 12 pounds every day.
How much would it cost to buy enough coffee for one day?
explain your answer
Answers
12 divided by 4 is 3
3 times 10 is 30
