Answers
[tex](3 {m}^{6} {n}^{2} ) ^{3} .2m {n}^{4} \\ = {3}^{3} {m}^{6 \times 3} {n}^{2 \times 3} \times 2 m{n}^{4} \\ = 27 {m}^{18} {n}^{6} \times 2m {n}^{4} \\ = (27 \times 2) {m}^{18 + 1} {n}^{6 + 4} \\ = 54 {m}^{19} {n}^{10} [/tex]
Answer:
[tex]54 {m}^{19} {n}^{10} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
Solution given:
[tex]\bold{(3m^6n²)³.2mn⁴}[/tex]
distribute power
[tex]3³m^{6*3}n^{2*3}.2mn⁴[/tex]
[tex]27m^{18}n^6.2mn⁴[/tex]
multiply like terms and add or subtract power in multiplication
[tex]27*2.m^{18+1}n^{6+4}[/tex]
[tex]\large{\bold{54m^{18}n^{10}}}[/tex] is a required answer
Related Questions
Express as a single power.
Answers
[tex]\\(a)\\2^3 \times 2^6 \div 2^9 = 2^{3+6} \times \dfrac{1}{2^9} = 2^9 \times 2^{-9} = 2^{9-9} = 2^0 = 1\\\\ \\(b)\\\\(-5)^8 \div (-5)^4 \times (-5)^3\\ \\= (-5)^8 \times \dfrac 1{(-5)^4 \times (-5)^3} \\\\= (-5)^8 \times \dfrac{1}{(-5)^{4+3}} \\\\= (-5)^8 \times \dfrac{1}{(-5)^7} \\\\= (-5)^{8 - 7} \\\\=(-5)^1 \\\\ =-5\\\\\\(c)\\\\\\\dfrac{6^3 \times 6^5}{6^2 \times 6^4}= \dfrac{6^{3+5}}{6^{2+4}}= \dfrac{6^8}{6^6}=6^{8-6}=6^2 =36[/tex]
The wheels on Jamie's bicycle are 3 feet
in diameter. Her younger sister Josie has
a bike with 12-inch wheels. What is the
ratio of Jamie's bike wheels to Josie's
bike wheels?
Answers
Answer:
a ratio of 3 or also 3/1 is a fraction is wanted
What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)
Answers
Answer:
Vertical asymptote is at [tex]x=-3[/tex]
Step-by-step explanation:
Let us plot the function
Here
[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]
Function does not exits at [tex]x=-3[/tex]
Vertical asymptote is at [tex]x=-3[/tex]
What is a finance charge?
Answers
Hope It's Help
You are dealt one card from a 52-card deck. Find the probability that you are not dealt a black picture card.
Answers
Answer: 1 in 51
Step-by-step explanation:
Answer:
23/26
Step-by-step explanation:
A standard deck of cards has 52 cards.
The cards are divided into 13 cards of each of 4 suits.
2 suits are black and 2 suits are red.
Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.
The total number of cards in a deck is 52.
52 - 6 = 46
There are 46 cards that are not black suit cards out of 52 total cards.
p(not black face card) = 46/52 = 23/26
Angles 1,2,3 and 4 are formed by two intersecting lines. State the single angle fact necessary to prove that m<1+m<2=m<2+m<3
Answers
The angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.
Linear Pair/Angles on a Straight LineTwo angles on a straight line can be referred to as a linear pair.The sum of the angles of a linear pair equals 180 degrees (supplementary angles)Thus,
∠1 and ∠2 are on a straight line, therefore,
m∠1 + m∠2 = 180°
∠2 and ∠3 are on a straight line, therefore,
m∠2 + m∠3 = 180°
Thus:
m∠1 + m∠2 = m∠2 + m∠3
Therefore, the angle fact that is necessary to prove that m∠1 + m∠2 = m∠2 + m∠3 is: linear pair are supplementary.
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MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Answers
========================================================
Explanation:
Start with the f(x) function. Then plug in g(x) like so
[tex]f(x) = 4x+3\\\\f(g(x)) = 4(g(x))+3\\\\f(g(x)) = 4\left(\frac{1}{4}x-\frac{3}{4}\right)+3\\\\f(g(x)) = 4\left(\frac{1}{4}x\right)+4\left(-\frac{3}{4}\right)+3\\\\f(g(x)) = x-3+3\\\\f(g(x)) = x\\\\[/tex]
----------------------------
Now we'll start with the g(x) function and then plug in f(x)
[tex]g(x) = \frac{1}{4}x-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(f(x))-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x+3)-\frac{3}{4}\\\\g(f(x)) = \frac{1}{4}(4x)+\frac{1}{4}(3)-\frac{3}{4}\\\\g(f(x)) = x+\frac{3}{4}-\frac{3}{4}\\\\g(f(x)) = x\\\\[/tex]
----------------------------
We've shown that the two equations are true
f(g(x)) = xg(f(x)) = xTherefore, f and g are inverses of each other.
Points M (2, 9) and N (-1, 3) are on a line with y-intercept 5. What is the equation of the line?
Answers
Answer:
Whenever you are given two points, start by naming the points. (2, 9) becomes (x1, y1); then (-1, 3) becomes (x2, y2). When you know which numbers you are putting into which formulas, it makes it much easier.
Start with finding your slope. m = y2 - y1/ x2 -x1
Step-by-step explanation:
Hope This Helps! Please Mark Brainliest!
Which is equivalent to the expression below for a +5 minus a +2
Answers
Answer:
3
Step-by-step explanation:
Positive 5 minus 2 positive its just simple subtraction.
Part A. What is the unit rate in dollars per hour for each company?
The unit rate for the 1st company is 2,86.
The unit rate for the 2nd company is 2,50.
Part B. Analyze Relationships Which company offers the best deal? Explain your answer.
Part C. What if? Another company offers a rate of $0.05 per minute. How would you find the unit rate per hour?
Answers
Answer:
i thinks its
the unot rate for the 1st company is 2,86
Step-by-step explanation:
Based on paragraph 2 of this speech excerpt, what was
President Kennedy's position on the expense of the space
program?
Answers
Answer:
Please give me Brainliest!
Step-by-step explanation:
President Kennedy's position on the expense of the space program was that it would be well worth the high cost.
Explanation:
The general sentiment of the 1960s was extremely in favor of the space race and the Us was heavily invested in the exploration of the space even as the costs for doing so were soaring exorbitantly high.
The President understood this and so did not want to tinker with the hopes and aspirations of the common people who had come to love these efforts.
These efforts were also a matter of great national pride and thus seen well worth the cost they incurred on the people and the tax-paying part of the country.
What is the slope of the line?
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
Using the previous problem, what is the rate at which
the shadow changes when the person is 10 ft from the wall,
if the person is walking away from the wall at a rate of 2 ft/
sec
Answers
Answer:
It grows at a rate
4/9 ft/second
Step-by-step explanation:
ANSWER FOR BRAINIEST!!!
How do you answer this and what did I do incorrectly?
Answers
Answer:
x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])
Step-by-step explanation:
Hi, these are not my strong point, Sorry if its incorrect.
6-[tex]\frac{2}{3}[/tex](x+5)=4x
I first did 6-[tex]\frac{2}{3}[/tex]
6/1 -2/3, 18/3-2/3 =16/3
[tex]\frac{16}{3}[/tex](x+5)=4x
I then expanded the bracket to get [tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]
[tex]\frac{16}{3}[/tex]x+5[tex]\frac{16}{3}[/tex]=4x
Then I took away [tex]\frac{16}{3}[/tex]x from both sides to get.
5[tex]\frac{16}{3}[/tex]=4x-[tex]\frac{16}{3}[/tex]x
I then factorised x out
5[tex]\frac{16}{3}[/tex]=x(4-[tex]\frac{16}{3}[/tex])
I then divided by the bracket to get:
x=5[tex]\frac{16}{3}[/tex]/(4-[tex]\frac{16}{3}[/tex])
Answer:
4/7
Step-by-step explanation:
[tex]6 - \frac{2}{3} (x + 5) = 4x[/tex]
U take -2/3 into the brackets
[tex]6 - \frac{2}{3} x - \frac{10}{3} = 4x[/tex]
Put all values with x on one side
[tex]6 - \frac{10}{3} = 4x + \frac{2}{3} x[/tex]
Ensure that they all have the same denominator so that u can add and subtract
[tex] \frac{18}{3} - \frac{10}{3} = \frac{12}{3} x + \frac{2}{3} x[/tex]
[tex] \frac{8}{3} = \frac{14}{3} x[/tex]
Drop the denominator since they both have the same denominator
[tex]8 = 14x[/tex]
divide both sides by 14
[tex] \frac{8}{14} = \frac{14}{14} x[/tex]
[tex]x = \frac{4}{7} [/tex]
Pls help I’ll brainlest and add extra points
Answers
Answer:
slope is -3
y intercept is 6
Step-by-step explanation:
The y intercept is where it crosses the y axis
It crosses the y axis at 6
We need two points to find the slope (0,6) and (2,0)
m = ( y2-y1)/(x2-x1)
= (0-6)/(2-0)
= -6/2
= -3
The slope is -3
Drag and drop the fractions to order them from least to greatest. 2/3 -4/5 1/4 -3/7
Answers
Step-by-step explanation:
I hope this helps out bye.
PLS HELP i will GIVE BRAINLESS)!!!! Some friends play history trivia. Players gain 1 point for a correct answer. Players lose 1 point for an incorrect answer. The player with the greatest score wins. The players’ scores are shown in the table. a. List the players from worst score to best score. Show your work.SOLUTION b. Check your answer to problem 3a. Show your work. 3 Player Score Brett27 Ellema 21 Felipe 13 Jennifer 0 Kamal 12 Riley25
Answers
Answer:
0,12,13,21,25
Step-by-step explanation:
jennifer-0, kamal-12, felipe -13, ellma-21, riley 25
basically least to greatest order
Write an expression that is the product of two factors and is equivalent to -2x - 10
PLEASE HELP
Answers
Answer:
-2(x + 5)
Step-by-step explanation:
Andre draws a tape diagram for 3÷2/3
Andre says that 3÷2/3= 4 1/3 because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre? Explain your reasoning
Answers
Answer:
No I do not agree with Andre says that 3 divided by 2/3 Solving for 3 ÷ 2/3
3 ÷ 2/3
= 3 × 3/2
= 9/2
= 4 1/2
Therefore, 3 divided by 2/3 is 4 1/2
Andre's reasoning is wrong.
Step-by-step explanation:
It is incorrect
Let's divide and compare the sum
3 : 2/3 = 3*3/2 = 9/2 = 4 1/2
and
There are four 2/3 fractions and one 1/3 fraction
The 1/3 fraction is 1/2 of 2/3 fraction so instead of counting 1/3 as 1/3 it should be counted as 1/2
Triangle ABC with vertices A(-3, 2), B(-1, 7), and C(6.1) is reflected over x-axis. Give the coordinates of the image.
A’
В’
C’
Answers
Answer:
how do I give the coordinates of the image
Step-by-step explanation:
What is 3/4+11/12= I can't figure this out
Answers
Answer:
1 2/3
Step-by-step explanation:
1 and 2/3
Answer fast plzz... i will give brainly
Answers
Answer:
1.15 inches
Step-by-step explanation:
The formula for the area of an ellipse is Arnab. Using a + b = 20 write the area of
the ellipse as a function of a by solving for a and then plugging in your results
into the formula for the area of an ellipse to replace b.
Answers
[tex]A=\pi ab\qquad \qquad \begin{array}{llll} a+b=20\\ b=20-a \end{array}\qquad \qquad \stackrel{\textit{substituting}}{A=\pi a(20-a)}\implies A=\pi (20a-a^2)[/tex]
The area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.
To write the area of the ellipse as a function of a using the given constraint a + b = 20, we first need to solve for b in terms of a and then substitute the expression for b into the formula for the area of the ellipse.
Given the equation for the ellipse:
x²/a² + y²/b² = 1
We have the constraint: a + b = 20
Now, let's solve for b in terms of a:
b = 20 - a
Now, we'll substitute this expression for b into the formula for the area of the ellipse:
Area (A) = πab
Area (A) = πa(20 - a)
Area (A) = 20πa - πa²
So, the area of the ellipse is given by the function A(a) = 20πa - πa², where a is a parameter representing one of the semi-major axes of the ellipse.
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I need this answer answed ASAP please..work out the area of the shaded shape
Answers
Answer:
Step-by-step explanation:
A = 8(14) - 5(14 - 5 - 2) = 77 m²
Answer:
77m (squared)
Step-by-step explanation:
I need help with a quiz
A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?
Answers
Answer: the area of the base will be multiplied by 4, since it will be changed from LW to
(2L)(2W) = 4LW
So, apply that to finding the new volume.
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
What is the volume of the rectangular prism?Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L x W x H
A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.
The height of the prism will be given as,
960 = 80 x H
H = 960 / 80
H = 12 units
If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.
More about the volume of the rectangular prism link is given below.
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Solution set for the equation x^2-6x+10=0
Answers
Answer:
3+2i, 3-2i
Step-by-step explanation:
no rational solutions
if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2
Help help help math math
Answers
Apply the distributive property to create an equivalent expression.
(6m -7)x4 =
Answers
Answer:
6mx^4-7x^4
Step-by-step explanation:
find the slope and y-intercept of line x÷a+y÷b=1
Answers
Answer:
slope:
-b/a
y-intercept:
1
PLEASE HELP DUE NOW!!
Answers
Answer:
✓ C. f(x)= sqrt 1/x
Step-by-step explanation:
i hoep this answer your question