Factorize 27x3 - 16y3
Answer:
27x3-16y3=
3x-4y
Step-by-step explanation:
I don't understand your question fully
I hope I helped you
Solve 2x=54xˆ(2/3)
Please, I need the step by step working to find the value of x
Answer:
x = 19683 or x = 0
Step-by-step explanation:
Solve for x:
2 x = 54 x^(2/3)
Hint: | Isolate the radical to the left hand side by reversing the equality.
2 x = 54 x^(2/3) is equivalent to 54 x^(2/3) = 2 x:
54 x^(2/3) = 2 x
Hint: | Eliminate the power on the left hand side.
Raise both sides to the power of three:
157464 x^2 = 8 x^3
Hint: | Move everything to the left hand side.
Subtract 8 x^3 from both sides:
157464 x^2 - 8 x^3 = 0
Hint: | Factor the left hand side.
Factor x^2 and constant terms from the left hand side:
-8 x^2 (x - 19683) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by -8:
x^2 (x - 19683) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
x - 19683 = 0 or x^2 = 0
Hint: | Look at the first equation: Solve for x.
Add 19683 to both sides:
x = 19683 or x^2 = 0
Hint: | Look at the second equation: Eliminate the exponent.
Take the square root of both sides:
Answer: x = 19683 or x = 0
Linear Equations Digital Escape! Can you find the slope-intercept equation of each line and type the correct code?
Answer: I can if there’s a picture...
Step-by-step explanation:
Answer: cgia
Step-by-step explanation:
-4M = 48 What would you do to each side of the equation?
Pls responddd
Answer:
divide by - 4
Step-by-step explanation:
Given
- 4M = 48 ( isolate M by dividing both sides by - 4 )
M = - 12
The number of fish in a lake decreased by 25% between last year and this year. Last year there were 60 fish in
the lake. What is the population this year? If you get stuck, consider drawing a diagram.
There are
fish in the pond.
HELLPPP
Answer:
theres
4
Step-by-step explanation:
Jonah deposited $80 in a savings account earning 5% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?
Tia earns $19.25 per hour she worked 36 hours.what is her straight time pay
Tia earns $693 in 36 hours
A cube can be unfolded into the net shown below. Find the total
surface area of the cube.
23.9 mm
Answer:
23.9 mm
Step-by-step explanation:
A cube can be unfolded into the net shown below. Find the total
surface area of the cube.
23.9 mm
What number minus one-half is equals to negative one-half
Answer:
0
Step-by-step explanation:
The cylinder shown here has a height of 7 centimeters and a radius of 4 centimeters.
Part A. What is the area of the base of the cylinder? Express your answer in terms of π. options are: 15 pi cm, 14 pi cm, 16 pi cm, 17 pi cm.
Part B: How many cubic centimeters of fluid can fill this cylinder? Express your answer in terms of π. options are: 112 pi cm, 110 pi cm, 113 pi cm, 107 pi cm.
Part C: Give a decimal approximation of your answer to the second question using 3.14 to approximate π. options are: 351.68 cm, 368.15 cm, 386.51 cm, 315.68 cm.
Answer:
A: 16[tex]\pi[/tex][tex]cm^{2}[/tex]
B: 112[tex]\pi[/tex][tex]cm^{3}[/tex]
C: 351.68[tex]cm^{2}[/tex]
Step-by-step explanation:
The cubic inches that can fill the cylinder is [tex]112\pi[/tex] and the decimal approximation 351.68 cm^3
The given parameters are:
Radius (r) = 4 cm
Height (h) = 7 cm
The area of the baseThe area of the base is:
[tex]A = \pi r^2[/tex]
So, we have:
[tex]A = \pi *4^2[/tex]
[tex]A = 16\pi[/tex]
Hence, the area of the base is [tex]16\pi[/tex]
The cubic inches that can fill the cylinderThis is the volume of the cylinder.
So, we have:
[tex]V = \pi r^2h[/tex]
Substitute known values
[tex]V = \pi * 4^2 * 7[/tex]
[tex]V = 112\pi[/tex]
Hence, the cubic inches that can fill the cylinder is [tex]112\pi[/tex]
The decimal approximationWe have:
[tex]V = 112\pi[/tex]
Expand
[tex]V = 112 * 3.14[/tex]
Evaluate the product
[tex]V = 351.68[/tex]
Hence, the cubic inches that can fill the cylinder is 351.68 cm^3
Read more about volume at:
https://brainly.com/question/10171109
plzz help Solve the following equation using factoring and the Zero Product Property. Select the answer which is the sum of all solutions to this equation, rounded to the nearest tenth.
24x2 + 16x + 2 = 0
Please help me this is math 10, you need to find area of the shaded region in factored form.
Answer:
Express the fraction in its simplest form.

What is the missing number?
Carter has a fruit stand. In the morning, he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left. Which solution represents how many bas of peaches, b, Carter will sell before he restocks?
Answer:
Carter will sell 17 bags of peaches before he restocks.
Step-by-step explanation:
Total pounds of peaches Carter have = [tex]25\frac{1}{2} = \frac{51}{2} = 25.5[/tex]
Weight of each bag = [tex]1\frac{1}{2} = \frac{3}{2} = 1.5[/tex] pound
Number of bag made = [tex]\frac{25.5}{1.5}[/tex] = 17
The number is fully divided , it means no of peaches left = 0 < 3
So,
Carter will sell 17 bags of peaches before he restocks.
The number of bas of peaches, b, Carter will sell before he restocks is 17.
Calculation of the number of peaches:Since he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left.
So here
[tex]= 25.5 \div 1.5[/tex]
= 17
Learn more about solution here: https://brainly.com/question/2621564
PLEASE HELP Review the equation, then complete the following. f(x)=1/x-4, g(x)=4x+1/x Use composition to prove whether or not the functions are inverses of each other. Express the domain of the compositions using interval notation.
Answer:A. Yes, they are inverse of each other.
B. Domain and range of the compositions is .
Step-by-step explanation:
A. We have, and .
Now, 'when two functions f and g are inverses of each other, they satisfy the property '.
So, we have,
Thus, we get for the given function f and g, .
Hence, they are inverse of each other.
B. Now, as we have,
That is, the composition of the functions is equal to the identity function.
Thus, the domain and range are the set of all real numbers respectively.
So, in the interval notation, we have,
Domain and range of the compositions is .
Find the mean and range of: 1.5, 0.5, 2, 3, 2.5
Answer:
mean 2 range2.5
Step-by-step explanation:
find the volume of a rectangular block of ice 2 feet by 3 and 1/2 feet by 1 and 1/2 feet the volume of the rectangular block of ice is what simplify your answer please
Answer:
V = 10 1/2 ft³
Step-by-step explanation:
V = length • width • height
V = 2 • 3 1/2 • 1 1/2
V = 10 1/2 ft³
Simplify the following fraction:
18/66
Plz help
Answer:
[tex]\frac{3}{11}[/tex]
Step-by-step explanation:
What is the GCF of both numbers:
the GCF is 6.
6 goes into 18, 3 times
6 goes into 66, 11 times
so the simplified version is 3/11
what is 500/465 please
Answer:
1.075
in fraction form 100/93 but they are both equivalent
Step-by-step explanation:
Answer:
100/93
Step-by-step explanation:
decimal form- 1.075
mixed number- 1
7/93
any help would be cool
Answer:
379.94
Step-by-step explanation:
Answer:
D. 69.08 meters
Step-by-step explanation:
The formula for solving circumference is 2 times pi times r(radius). Multiply 2 x 3.14 x 11 (the radius). You get 69.08 meters.
Hope it helps!
PLEASE HELP!!!!!!!!!!!!!!!!ASAP!!!!!!!!!!NOW!!!!!!!!!!RIGHT AWAY!!!!!!!!
Answer:
(a)it is
Step-by-step explanation:
this is because ABC and SDC are both right angle triangles
Elise sold 110 total tickets for the football game. Adult tickets cost $2.50 and student tickets
cost $1.10. If she collected $212, how many of each kind of ticket did she sell? Define your
variables, write two equations and solve the system, showing all of your thinking
A=
S =
Answer:
A + S = 110
2.5A + 1.1 S = 212
S = 110-A
Put value of x in equation 2
A = 65......... S = 147
Step-by-step explanation:
Which is a perfect square?
6^1
6^2
6^3
6^5
Answer:
all of them
Step-by-step explanation:
Answer: 6^2
Step-by-step explanation: because the perfect squares are the squares of the whole numbers: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, and so on. <3
Five chicken nuggets have 135 calories. How many calories are in 9 chicken nuggets
Answer:
243 calories
Step-by-step explanation:
Fill in the blank:
The function is _________ over the interval [3,1].
A. increasing
B. decreasing
C. constant
Answer:
increasing
Step-by-step explanation:
its increasing because it goes back up at a fast rate
The estimate obtained from a sample of which size is likely to be closest to the actual parameter value of a population?
Answer:
184
Step-by-step explanation:
Answer: 184
Step-by-step explanation:
A P E X
how to solve 9x^2+9x+2
Answer:
factoring: ( 3 x + 1 ) ( 3 x+ 2 )
expressing/equation: 9x²= 81x
81x + 9x + 2=
9x+81x=90x
90x + 2
Step-by-step explanation:
first part- Mrs. Swanson made 1/2 of a pound of fudge to share equally among 6 students in her reading group. How much fudge will each child get?
2nd part- After handing out the fudge, one of the students eats 1/2 of his fudge.How much of his fudge did the student eat?
Answer:
How many bottles of juice should they get, so that each child gets the same ... E. David used exactly 8 cups of flour to make 6 loaves of bread. ... 1 At a pizza party, 5 people will equally share 3 pizzas. ... 4 pineapple fruitcakes for a bake sale to raise money for the school band. ... containers left with ½ cup each of hot fudge.
Step-by-step explanation:
please help!! Graph the line that has a slope of 3 and contains the point (3,0)
Answer:
Step-by-step explanation:
I'm so confused, cans omeone help it's a TEST!!
Answer:
Step-by-step explanation:
sin R = opp/hyp = 11/61 = .18
sinR =.18
the angle R = sin^-1 (11/61) = 10.39°
∠R = 10.39°
A large university accepts 70% of the students who apply. Of the students the university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
Answer:
8400 studentsStep-by-step explanation:
Applicants = xAccepted = 70% ⇒ 0.7xEnrolled = 40% ⇒ 0.4(0.7x) = 0.28xWe got x = 30000
Then number of actually enrolled is:
30000*0.28 = 8400 students