Answers
Answer:
[tex]2x^2y\sqrt[3]{7xy^2}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{56x^7y^5}[/tex]
Required
Solve
Expand
[tex]\sqrt[3]{8*7*x^6*x*y^3*y^2}[/tex]
Rewrite as:
[tex]\sqrt[3]{8*x^6*y^3*7*x*y^2}[/tex]
Split
[tex]\sqrt[3]{8*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]
Express 8 as 2^3
[tex]\sqrt[3]{2^3*x^6*y^3} *\sqrt[3]{7*x*y^2}[/tex]
Apply law of indices
[tex]2^{(3/3)}*x^{(6/3)}*y^{(3/3)} *\sqrt[3]{7*x*y^2}[/tex]
[tex]2*x^2*y *\sqrt[3]{7*x*y^2}[/tex]
[tex]2x^2y *\sqrt[3]{7xy^2}[/tex]
[tex]2x^2y\sqrt[3]{7xy^2}[/tex]
Related Questions
y varies inversely as x. y=3 when x=10. Use the variation constant and inverse variation equation to find y when x=6.
Do not type y= in your answer.
Answers
Answer:
5
Step-by-step explanation:
Given :
Y α 1/x
Y = k/x
Where, k = constant of proportionality ;
y = 3 ; x = 10
3 = k / 10
k = 10 * 3
k = 30
Equation becomes :
Y = 30/x
Y =? ; when x = 6
Y = 30 / 6
Y = 5
Find the limit of the function algebraically. Lim=-5 x^2-25/x+5
Answers
Answer:
[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 0[/tex]
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Limits
Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5}[/tex]
Step 2: Evaluate
Factor: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = \lim_{x \to 5} \frac{(x - 5)(x + 5)}{x + 5}[/tex]Simplify: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = \lim_{x \to 5} x - 5[/tex]Limit Rule [Variable Direct Substitution]: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 5 - 5[/tex]Simplify: [tex]\displaystyle \lim_{x \to 5} \frac{x^2 - 25}{x + 5} = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Which of the following statements represents a correct relationship?
300 < 30
547 > 574
20,007 < 20,070
6,050 = 6,060
Answers
Question 9
Find the volume.
Answers
Answer:
D. 50 yd³
Step-by-step explanation:
Volume of triangular pyramid = ⅓ * Base Area * height of pyramid
Base area = ½*b*h = ½*6*5
Base area = 15 yd²
height of pyramid = 10 yd
Volume of the triangular pyramid = ⅓*15*10
Volume of the triangular pyramid = 5*10
= 50 yd³
A couple purchased a home and signed a mortgage contract for $900,000 to be paid with half-yearly payments over a 25-year period. The interest rate applicable is j2=5.5% p.a applicable for the first five years, with the condition that the interest rate will be increased by 12% every 5 years for the remaining term of the loan.
a) Calculate the half-yearly payment required for each five-year interval
Answers
Did you manage to solve it?
Find the area of a triangle ABC when measure B = 56 degrees, a = 10 inches, and c = 7 inches.
Answers
3 consecutive integers have a sum of 27. What are the integers?
Answers
Answer:
8,9,10
Step-by-step explanation:
Let x be the first integer
x+1 is the next consecutive integer
x+2 is the third consecutive integer
The sum is 27
x + (x+1) + (x+2) = 27
Combine like terms
3x+3 = 27
Subtract 3 from each side
3x+3-3 =27-3
3x =24
Divide by 3
3x/3 = 24/3
x=8
The integers are
x=8
x+1 =9
X+2 =10
Explanations: x+x+1+x+2=27
3x+3=27
3x=27-3
3x=24
X=8
Three consecutive numbers
X=8
X+1=8+1=9
X+2=8+2=10
Free question answer for points. If its correct ill mark brainliest
Answers
Answer:
[tex]14. \\841\rightarrow 800\\\\15.\\750[/tex]
Step-by-step explanation:
14:
Round the highest place means keeping the farther non-zero digit to the left, then rounding. Therefore, there should only be one non-zero digit in our final answer. The only answer choice that follows this and correctly rounds is [tex]\boxed{841\rightarrow 800}[/tex]
15:
There are 30 days in November. Therefore, the number of pages typed is equal to [tex]30\cdot 25=\boxed{750}[/tex]
Answer:
.
Step-by-step explanation:
Help me out thank u
Answers
9514 1404 393
Answer:
(a) 145
Step-by-step explanation:
The measure of the angle marked x° is half the sum of the intercepted arcs:
(90° +200°)/2 = x° = 145°
112 1/2 as a decimal
Answers
Answer:
[tex] \frac{1}{2} \: as \: a \: decimal = \\ 0.5[/tex]
Step-by-step explanation:
thats the answer
The decimal form, the mixed fraction can be written as 112.5.
To find out mixed fraction in the form of decimal.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
Given that:
The mixed fraction is a fraction whose nominator is greater than its denominator or improper fraction is a fraction in which the denominator is always less than the numerator.
112 1/2
= (2 x 112 + 1)/2
= (224 + 1)/2
= 225/2
To divide the 225 by 2 ,we get
=112.5
So, the decimal form, the mixed fraction can be written as 112.5
Learn more about fraction here:
https://brainly.com/question/24092047
#SPJ2
Do these ordered pairs represent a function?
(0, 1), (0, 2), (2,3), (4,8)
Answers
Answer:
No
Step-by-step explanation:
To be a function, each input can only go to one output
0 goes to 1 and 2 so it cannot be a functions
3+2×(8-5)+6
please answer if you answer I will follow if it is right
Answers
Answer: 3+2×(8-5)+6 =15
[tex]\sf\purple{15}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 + 2 \times (8 - 5) + 6 \\ \\ = 3 + 2 \times 3 + 6 \\ \\ = 3 + 6 + 6 \\ \\ = 15[/tex]
Note:-[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
(7x-2)-(x-9) {Pls Simplify this}
Answers
Answer:
6x + 7
Step-by-step explanation:
(7x - 2) - (x - 9)
7x - 2 - x + 9
6x + 7
Three rectangular prisms each have a height of 1 cm.
. Prism A has a base that is 1 cm by 11 cm
* Prism B has a base that is 2 cm by 7 cm SA +V
Prism C has a base that is 3 cm by 5 cm.
1. Find the surface area and volume of each prism. Use the dot paper to draw the prisms, if needed.
Answers
Answer:
A: SA = 46 cm^2; V = 11 cm^3
B: SA = 46 cm^2; V = 14 cm^3
C: SA = 46 cm^2; V = 15 cm^3
Step-by-step explanation:
SA = 2B + PH = 2LW + PH
where SA = total surface area,
B = area of a base
P = perimeter of the base
H = height of the prism
L = length of the base
W = width of the base
V = LWH
Prism A:
SA = 2(11 cm)(1 cm) + 2(11 cm + 1 cm)(1 cm)
SA = 46 cm^2
V = (11 cm)(1 cm)(1 cm) = 11 cm^3
Prism B:
SA = 2(7 cm)(2 cm) + 2(7 cm + 2 cm)(1 cm)
SA = 46 cm^2
V = (7 cm)(2 cm)(1 cm) = 14 cm^3
Prism C:
SA = 2(5 cm)(3 cm) + 2(5 cm + 3 cm)(1 cm)
SA = 46 cm^2
V = (5 cm)(3 cm)(1 cm) = 15 cm^3
Darrell builds and sells bookcases to earn money. He earns $20 for each bookcase he sells. The more bookcases he sells, the more money he earns. What is the dependent variable in this situation?
Answers
Answer: The total amount of money Darrell earns selling bookcases
Answer
Step-by-step explanation:
The dependent variable refers to the variable which is tested or measured or tested when an experiment is done. The dependent variable normally depends on the independent variable.
In this question, the independent variable is the bookcase while dependent variable is the total amount of money Darrell earns selling bookcases.
HELP PLSSS I WILL GIVE YOU BRAINLYEST
i suck at math this is easy
Answers
OPTION C is the correct answer.
needed help here
1. If m angle 2 =58°and m angle 3 =52° then m angle 4=_
2. If m angle 4 =125°and m angle 2 =64° then m angle 3=_
3. If m angle 3 =50°and m angle 5=108° then m angle 1=_
4. If m angle 1=53° and m angle 3 =88° then m angle 5=_
5. If m angle 6 =125°and m angle 1=
59° then m angle 2=_
Answers
If P = (-4,-3) and Q = (2, 1) are the
endpoints of the diameter of a circle,
find the equation of the circle.
(x - [?])2 + (y - [ ])2 = [
]
Answers
Answer:
[tex](x+1)^2 + (y + 1)^2 = 13[/tex]
Step-by-step explanation:
To find the centre of the circle, find the mid - point of PQ :
[tex]Centre =( \frac{x_1+x_2}{2} \ , \ \frac{y_1 + y_2}{2}) = (\frac{-2}{2} \ , \ \frac{-2}{2}) = (-1, -1)[/tex]
Diameter = 2 x Radius , To Find the diameter, find distance between P and Q:
[tex]Distance , PQ = \sqrt{(2 - (-4))^2 + (1 -(-3))^2}[/tex]
[tex]= \sqrt{6^2 + 4^2} = \sqrt{36+ 16} = \sqrt{52} = \sqrt{4 \times 13} = 2 \times \sqrt{13}[/tex]
PQ is the diameter , therefore radius :
[tex]r = \frac{1}{2} \times 2 \sqrt{13} = \sqrt{13}[/tex]
Equation of a circle :
[tex](x + 1)^2 + (y + 1)^2 = 13[/tex]
Answer:
(x - 1)2 + (y - 1)2 = 13
Step-by-step explanation:
This is the answer for Acellus users
The 8th term of an arithmetic sequence is 3 and the 100th term is 49. What is the recursive formula for the sequence?
Answers
Answer:
uₙ₊₁ = uₙ + ¹/₂
Step-by-step explanation:
uₙ₊₁ = uₙ + d
u₈ = 3
u₁₀₀ = 49
We can establish the following:
u₉ = 3 + d
u₁₀ = (3 + d) + d = 3 + 2d
u₁₁ = (3 + 2d) + d = 3 + 3d
so...
u₈₊ₐ = 3 + ad
u₁₀₀ = u₈₊₉₂ = 3 + 92d
3 + 92d = 49
92d = 46
d = ¹/₂
∴ uₙ₊₁ = uₙ + ¹/₂
I need help with this
Answers
Answer:
Step-by-step explanation:
It was confusing
what is the end behavior of function h(x)=-4x^2+11
Answers
Answer:
[tex]-4x^{2} +11[/tex] is a parabola. The coefficient in front of the highest term (-4 in front of the [tex]x^{2}[/tex]) is negative, meaning both of the ends go towards negative infinity (point downward). So, as x approaches positive or negative infinity, y approaches negative infinity.
The end behavior of the function is being divergent for [tex]x \to \pm \infty[/tex].
According to theory of limits and differential calculus, all polynomial functions are continuous and differentiable function with no limits for [tex]x \to \pm \infty[/tex]. Therefore, we can conclude that function [tex]h(x) = -4\cdot x^{2}+11[/tex] diverges to [tex]-\infty[/tex] for [tex]x > 0[/tex] or [tex]x < 0[/tex].
That is,
[tex]x \to +\infty[/tex]
[tex]\lim_{x \to +\infty} -4\cdot x^{2} + 11 = -4 \cdot \lim_{x \to +\infty} x^{2} + \lim_{x \to +\infty} 11[/tex]
[tex]\lim_{x \to +\infty} -4\cdot x^{2} + 11 = N.E. + 11[/tex]
[tex]\lim_{x \to +\infty} -4\cdot x^{2} + 11 = N.E.[/tex]
[tex]x \to -\infty[/tex]
[tex]\lim_{x \to -\infty} -4\cdot x^{2} + 11 = -4 \cdot \lim_{x \to -\infty} x^{2} + \lim_{x \to -\infty} 11[/tex]
[tex]\lim_{x \to -\infty} -4\cdot x^{2} + 11 = N.E. + 11[/tex]
[tex]\lim_{x \to -\infty} -4\cdot x^{2} + 11 = N.E.[/tex]
Hence, the end behavior of the function is being divergent for [tex]x \to \pm \infty[/tex].
We kindly invite you to check this question related to limits: https://brainly.com/question/12383180
Please help me figure this out. No links
Answers
Answer
x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]
Step-by-step explanation:
x.1,2=[tex]\frac{-(-2)+ \sqrt{(-2)^2-4.1(-1)} }{2.1}[/tex]
apply rule -(-a)=a
[tex]\sqrt{(-2)^2+4.1.1}[/tex]
[tex]x1,2=\frac{-(-2)+2\sqrt{2} }{2.1}[/tex]
x=1 +[tex]\sqrt{2} ,x=1 - \sqrt{2}[/tex]
i need help on this one please help! (listing BRAINLIST and giving points) :D
Answers
Answer:
sin x = a/b
cos x = c/b
tan x = a/c
Answer:
sin x = a/b
cos x = c/b
tan x = a/c
Step-by-step explanation:
We know,
sin(θ) = Opposite / Hypotenusecos(θ) = Adjacent / Hypotenusetan(θ) = Opposite / AdjacentSo, in this right triangle, the opposite is a
" hypotenuse is b
" adjacent is c
So, sin x = a/b
cos x = c/b
tan x = a/c
The Hamilton’s are installing a new pool in their backyard .The scale drawing below represents the new pool,where 1 centimeter represents 5 feet.
Answers
6cm X 5 = 40ft
20ft : 40ft pool
20x40 = 800 square ft
900sq ft - 800sq ft
100 square feet
(2 1
2
-
4
-
5
) ÷
3
-
4
Answers
Answer:
[tex]63\frac{6}{9}[/tex]
Step-by-step explanation:
[tex](212-4-5)[/tex] ÷ [tex]3-4=[/tex]
[tex]203[/tex] ÷ [tex]3-4=[/tex]
[tex]67\frac{6}{9}-4=[/tex]
[tex]=63\frac{6}{9}[/tex]
Hope this helps
Henrieta drove 250 miles in 4 hours. How much miles did she drive in 10 minutes?
Answers
Answer:
625 miles
Step-by-step explanation:
250/4=62.5
62.5*10 = 625
Answer:
Below.
Step-by-step explanation:
There are 6 * 10 minutes in 1 hour and 4*6 = 24 10minutes in 4 hours.
So in 10 minutes she travels 250 / 24
= 10.417 miles to nearest thousandth.
Consider the polynomial 16x2 – 1.
What is the value of ac?
What is the value of b?
What two numbers multiply to get ac and add to get b?
The factored form of 16x2 – 1 is
Answers
9514 1404 393
Answer:
ac = -16b = 0-4, 4(4x -1)(4x +1)Step-by-step explanation:
a) ac is the product of the leading coefficient (16) and the constant (-1).
ac = (16)(-1) = -16
__
b) b is the coefficient of x. There is no x term, so ...
b = 0
__
c) Two factors that add to give zero must be opposites. That is, they must be the square root of the opposite of -16, and the opposite of that.
the two numbers are -4 and 4
__
d) The factored form for the two numbers p and q just found is ...
ax^2 +bx +c = (ax +p)(ax +q)/a
= (16x -4)(16x +4)/16
= (4x -1)(4x +1) . . . . factored form of 16x^2 -1
Answer:
Consider the polynomial 16x2 – 1.
*) What is the value of ac?
–16
**) What is the value of b?
0
***) What two numbers multiply to get ac and add to get b?
–4 and 4
****) The factored form of 16x2 – 1 is
(4x– 1)(4x+ 1)
.
Step-by-step explanation:
Edge 2021
Which is equivalent to (negative 2 m + 5 n) squared, and what type of special product is it?
4 m squared + 25 n squared; a perfect square trinomial
4 m squared + 25 n squared; the difference of squares
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
4 m squared minus 20 m n + 25 n squared; the difference of squares
Answers
Answer:
4 m squared minus 20 m n + 25 n squared; a perfect square trinomial
Step-by-step explanation:
(-2m+5n)(-2m+5n)
4[tex]m^{2}[/tex]-20mn+25[tex]n^{2}[/tex]
By expanding the given expression, we conclude that the equivalent expression will be the perfect square trinomial:
4m^2 + 20m*n + 25n^2
How to get an equivalent expression to the given binomial?We have a polynomial given by the expression:
(2m + 5n)^2
If we expand the binomial (binomial means that it hastwo terms), we will get:
(2m)^2 + 2*(2m)*(5n) + (5n)^2
= 4m^2 + 20m*n + 25n^2
This is a perfect square trinomial (trinomial because has 3 terms and perfect square because is the square of a binomial).
If you want to learn more about polynomials, you can read:
https://brainly.com/question/4142886
30% of a sum of money is $234.
Use this fact to work out:
a 60%
b 90%
C 15%
d 3%
of the same amount.
Answers
Answer:
just took it, 15%
Step-by-step explanation:
I just took it online on ed
Answer:
30/100 × Y= 234
Y= 234÷30=7.8
7.8×100= 780
So the money is $780
Step-by-step explanation:
a. 60/100× 780 = $468
b. 90/100× 780 = $702
c. 15/100× 780= $117
d. 3/100 × 780= $23.4
Which statement or inequalities describe the number line graph?
Answers
Answer:
Step-by-step explanation:
( - ∞ , - 3 ) ∪ [ - 1 , ∞ )