Answers
Answer:
a = 12
b = 2
c = 11
Step-by-step explanation:
[tex] \frac{( {x}^{5}y {z}^{4} )^{3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{5 \times 3}y^{3} {z}^{4 \times 3} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ \frac{ {x}^{15}y^{3} {z}^{12} }{ {x}^{3} yz} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{15 - 3} {y}^{3 - 1} {z}^{12 - 1} = {x}^{a} {y}^{b} {z}^{c} \\ \\ {x}^{12} {y}^{2} {z}^{11} = {x}^{a} {y}^{b} {z}^{c} \\ \\ equating \: like \: terms \: from \: both \: sides \\ \\ {x}^{12} = {x}^{a} \: \implies \: a = \boxed{ 12}\\ \\ {y}^{2} = {y}^{b} \: \implies \: b = \boxed{ 2} \\ \\ {z}^{11} = {z}^{c} \: \implies \: c = \boxed{ 11}[/tex]
Related Questions
3n^2 + 8n + 16 = 2n^2
Answers
Answer:
=11n+2+8n+16+2n+2 simplification is 11n+20+2N
Step-by-step explanation:
The population of Kenya was 45.1 million in 2009 and has been growing by 2.3% each year. If this trend continues, in what year will the population exceed 52.2 million?
Answers
Answer:
6.4294 years
Step-by-step explanation:
45.1 million in 2009 -- 2.3% each year
In what year will the population exceed 52.2 million?
We use exponential growth formula
ξ(t) = y = ab^t
a = 45.1, b = 1+ξ, ξ= 2.3%, ξ(t) = 52.2
52.2/45.1 = (1.023)^t
We take log both side
Log(1.15742794) = tlog(1.023)
0.0634939619 = t0.00987563371
t = 0.0634939619/0.00987563371
t = 6.429355701569454
t = 6.4294 years
A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation. If (x , y ) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square
Answers
Answer:
its 20x20
Step-by-step explanation:
ty for point also i did the test
Answer: I just did the test so the answer would be (20x,20y)
Step-by-step explanation: hoped this help thx for the points :D
If a = -3, find the value of 3a²
Answers
Step-by-step explanation:
given
a = - 3
3a² = 3 * ( -3) ²
= 3 * 9
= 27
The value of 3a² is 27.
Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.
Answers
Answer:500
Step-by-step explanation:
if g(x) =x -7, what if the value of x when g(x) =6
Answers
Answer:
x=13
Step-by-step explanation:
1. Place 6 in
6=x-7
2. Evaluate
x=6+7
x=13
WILL MARK YOU BRAINLIEST HURRY PLZ IM ON A TIME LIMIT
Answers
Answer:
Angle Y < Angle Z
Step-by-step explanation:
Answer:
angle X < angle Y
Step-by-step explanation:
........
A shoe salesperson sold 20 pairs of shoes for $640. A brown pair of shoes sells for $30 and a black pair for $35. How many brown pairs were sold? A. 12 B. 14 C. 15 D. 8
Answers
Answer:
12 pairs
Step-by-step explanation:
Represent Brown with B and Black with A
So:
[tex]A + B = 20[/tex] --- Pairs sold
[tex]30B + 35A = 640[/tex] --- Amount
Required
Solve for B (the brown pairs)
Make A the subject in the first equation
[tex]A = 20 - B[/tex]
Substitute 20 - B for A in the second
[tex]30B + 35(20-B) = 640[/tex]
Open bracket
[tex]30B + 700 - 35B = 640[/tex]
Collect Like Terms
[tex]30B - 35B = 640 -700[/tex]
[tex]-5B = -60[/tex]
Divide both sides by -5
[tex]B = \frac{-60}{-5}[/tex]
[tex]B =12[/tex]
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answers
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
I will mark brainliest thanks
Answers
Answer:
B
Step-by-step explanation: it All Becomes Negative if it is Reflected
f f(x)=4x^(2)-9, find f(-1)
f(-1)= ?
Answers
Answer:
[tex]f(-1)=-5[/tex]
Step-by-step explanation:
Numeric Value of a Function
Given:
[tex]f(x)=4x^2-9[/tex]
It's required to find f(-1).
It can be calculated by substituting the value x=-1 in the function:
[tex]f(-1)=4(-1)^2-9[/tex]
Calculating:
[tex]f(-1)=4*1-9[/tex]
[tex]f(-1)=4-9[/tex]
[tex]\boxed{f(-1)=-5}[/tex]
SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU
Answers
Answer:
$88
Step-by-step explanation:
first, you find 20% of 57 which = 11.4
then subract it with 57 which looks like 57-11.4 = 45.6
= 45.6
first, you find 20% of 53 which = 10.6
then subract it with 53 which looks like 53-10.6 = 42.7
= 42.4
then you add them both which = 45.6+ 42.4= 88
I need help, I’ve been trying to figure out answers and I’m not getting anywhere is there anyone who could help me with (work shown)
Answers
Answers is A
Write down the value of the 4 in 8642 in figures
Answers
Is "The radio's sound died down" a metaphor, personification, onomatopoeia, or oxymoron answer quick
Answers
Answer:
I think personification
Step-by-step explanation:
3-7/8
please answer :p
Answers
Answer:
2.125 is your answer!! pls give brainlist (:
Step-by-step explanation:
Help!!!!!! Please and thanks
Answers
Answer:
HI I am back thanks for zooming in I would say your answer would be D sorry if i am wrong but that should be correct I am 98% sure. Plz let me know if it is correct or not! (Brainliest Plz)
Step-by-step explanation:
(PLz give me Brainliest)
Help pleasee! Thank uu
Answers
Answer:
The answer is the 2nd option
Step-by-step explanation:
is a hotdog a taco or a sandwitch?
Answers
Answer:
Step-by-step explanation:
None of them
-3x+6<27?
Solving Linear Inequalities.
Answers
While solving, you can treat inequalities the exact same as you would treat equations. Pretend the inequality sign is an equals sign. Now solve for x.
-3x + 6 < 27
-3x < 21
3x < -21
x < -7
I got some money for my birthday. I save and spend in the ratio 2:3. I save £32. How much money did I receive for my birthday?
Answers
Answer:
80 i think
Step-by-step explanation:
32.3=80
Step-by-step explanation:
Amount of money saved : spent = 2 : 3.
Since amount of money saved = £32,
Amount of money spent = £32 * (3/2) = £48.
Total amount of money = £32 + £48 = £80.
Therefore I received £80 for my birthday.
9 x 2 = 2 x 9
A. Associative property of x
B. Distributive property
C. X inverse property
D. Commutative property of X
Answers
Answer:
D
Step-by-step explanation:
communicative property of X
How many groups of 13 inch are in 34 inch?
Answers
Answer:
2 groups
Step-by-step explanation:
13 times 3 is 39
39 is not 34
please mark me brainliest!!!
30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answers
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
Solve for b in the equation 4(b + 2) = 16
Answers
Answer:
b=2
Step-by-step explanation:
The surface area for a rectangular prism is given by the formula SA = 2ab + 2bc + 2ac, where a, b, and c are the lengths of the prism. If the surface area of a rectangular prism with side c measuring 12 meters is 434 square meters and length of side a measuring the same length as side b, then what is the length of side a of the rectangular prism?
Answers
Answer:
We are given
We are also given and , which allows us to rewrite the equation as
(I substituted every "b" with "a" and every "c" with "9").
The solutions to this quadratic equation are -25 and 7. We discard -25 because a side with negative length would make no sense.
The required measure of side a of the rectangular prism is a = 9.3 meters.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
SA = 2ab + 2bc + 2ac
434 = 2a² + 14a + 14a
434 = 2a² + 28a
2a² + 28a - 434 = 0
a² + 14a - 217 = 0
a² + 14a + 49 - 49 - 217 = 0
(a + 7)² = 266
a = 9.3 or a = -23.3
Since the negative measure of length can be neglected.
a = 9.3 = b
Thus, the required measure of side a of the rectangular prism is a = 9.3 meters.
Learn more about the surface area here: https://brainly.com/question/2835293
#SPJ5
What are the x- and y-intercepts of the following Standard Form Equation:
- 2x + 5y = 0
Answers
Answer:
X-Intercept: [tex]x=-\frac{5}{2}y[/tex]
Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]
Step-by-step explanation:
X-Intercept-
2x+5y=0 - Move the variable to the right-hand side and change its sign
2x=-5y - Divide both side of the equation by 2
x=-5/27 - Write the solution x in parametric form
x=-5/2y, y∈R
Y-Intercept-
2x+5y=0 - Move the variable to the right hand side and change its sign
5y=-2x Divide both sides of the equation by 5
y=-2/5x Write the solution y in parametric form
y=-2/5x, x∈R
Pls help me with this question.
Answers
Answer:
x=1Step-by-step explanation:
[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]
[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]
[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]
[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]
hope it helps:)
5x+30-30+15x / 3x-1 = 10
Simplify.
20x / 3x-1 = 10
Multiply both sides by the denominator.
20x = 30x-10
Divide both sides by 20.
x = 3/2-1/2
Subtract the fractions.
x = 1
The lines AB and CB intersect at B
(a) Find the co-ordinates of the midpoint of AB
(b) Find the equation of the line CB
Answers
Step-by-step explanation:
Soln
given,
from the figure
coordinate of B is (5,3),
A(7,0) and C(0,4)
A. solution
let, M(x,y) be the mid point of AB
A(7,0) = (x1,y1)
B(5,3) = (x2,y2)
we know
x = (x2+x1)/2
or, x = (5+7)/2
or, x = 12/2
or, x = 6
and for y
y = (y2+y1)/2
or, y = (3+0)/2
or, y = 3/2
therefore M(x,y) = (6,3/2)
B. solution
let,
C(0,4) = (x1,y1)
B(5,3) = (x2,y2)
equation of line is ;
(y - y1)/(x - x1) = (y2 - y1)/(x2 - x1)
or, (y - 4)/(x -0) = (3 - 4)/(5 - 0)
or, (y - 4)/(x - 0) = -1 / 5
by cross multiply
or, 5×(y - 4) = -1×(x)
or, 5y - 20 = -x
or, x + 5y = 20 is the required equation.
HELP PLLSS
92;69
work included!
Answers
Answer:
92/69 cannot be simplified
Step-by-step explanation: