Answer:
2x^3
Solution
You simplify to the lowest value possible 4x^6
2x^3
Consider the expression shown.
(x^-3 y^5 z^-4) • (x^6 y^-7 z^-2)
Part A. The value of the exponent of x in the simplified expression will be
1. -18
2. -9
3. 3
Part B. The value of the exponent of y in the simplified expression will be
1. -35
2. -12
3. -2
Part C. The value of the exponent of z in the simplified expression will be
1. -6
2. -2
3. 8
Answer:
3, 3 and 1
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
Given
([tex]x^{-3}[/tex] [tex]y^{5}[/tex] [tex]z^{-4}[/tex] × [tex]x^{6}[/tex] [tex]y^{-7}[/tex] [tex]z^{-2}[/tex]
A
[tex]x^{-3}[/tex] × [tex]x^{6}[/tex] = [tex]x^{(-3+6)}[/tex] = x³ → with exponent 3
B
[tex]y^{5}[/tex] × [tex]y^{-7}[/tex] = [tex]y^{(5-7)}[/tex] = [tex]y^{-2}[/tex] → with exponent - 2
C
[tex]z^{-4}[/tex] × [tex]z^{-2}[/tex] = [tex]z^{(-4-2)}[/tex] = [tex]z^{-6}[/tex] → with exponent - 6
Chicken costs $3.20 per pound, and beef costs $4.59 per pound. Answer each question and show your reasoning. When purchasing 3 pounds, which meat is more expensive? By how much more expensive is it?
Given :
Chicken costs $3.20 per pound, and beef costs $4.59 per pound.
To Find :
When purchasing 3 pounds, which meat is more expensive and by how much.
Solution :
Price of 3 pound chicken, [tex]P_c=3.2\times 3 = \$9.6[/tex] .
Price of 3 pound beef, [tex]P_b = 4.59\times 3=\$13.77[/tex] .
Now, difference in price :
P = $13.77 - $9.6 = $4.17 .
Therefore, beef is more expensive than chicken by $4.17 .
Hence, this is the required solution.
La profesora repartió témperas del mismo tamaño entre los chicos. Mariana usó 3/5 de su pote y Juan 3/4 del suyo. ¿Quién usó mayor cantidad y por qué? Representa con dibujos los potes y lo que se usó
Answer:
Juan uso mayor cantidad de témpera.
Step-by-step explanation:
Para comparar fracciones que tienen distintos denominadores, como en este caso, es conveniente encontrar fracciones equivalente a las fracciones dadas, donde ambas tengan el mismo denominador. Dos fracciones son fracciones equivalentes cuando representan la misma parte de la unidad.
En este caso, para comparar las fracciones 3/5 y 3/4, obtienes que el mínimo común múltiplo entre los denominadores que es 20 (el denominador común se puede obtener multiplicando ambos denominadores o calculando el m.c.m) y amplificas cada una de las fracciones para que tengan el mismo denominador.
Entonces:
[tex]\frac{3}{5} =\frac{3*4}{5*4} =\frac{12}{20}[/tex]
[tex]\frac{3}{4} =\frac{3*5}{4*5} =\frac{15}{20}[/tex]
Cuando dos o más fracciones tienen igual denominador, es mayor la que tiene mayor numerador. Entonces en este caso podes observar 15/20 es mayor. Como 3/4 es una fracción equivalente a 15/20, entonces 3/3 es una fracción mayor. Por lo que es posible decir que Juan uso mayor cantidad de témpera.
Esto también se puede observar en la representación de la imagen adjunta, donde se divide en 1/4 y 1/5 y se encuentra pintado la cantidad usada por Juan y Mariana. En ese caso se puede ver que el área pintada es mayor en el caso de 3/4, la cantidad usada por Juan.
PLEASE HELP DUE IN 5 MINUTES
Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB across the x axis?
1. (-3,2) and (-1,2)
2.(-3.-2) and (-1,-2)
3. (1,-2) and (3,-2)
4. (2,3) and (2,1)
5. none of the above
Answer:
1. (-3, 2) and (-1, 2)
Step-by-step explanation:
What’s the gcf of 8 and 52
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Hope i helped
Solve the system of equations algebraically.
5g+4k=10
-3g-5k=7
Answer:
k = -5
g = 6
Step-by-step explanation
1) First solve for k and plug that into the other equation to solve for g.
5g + 4k = 10
4k = -5g + 10
k = -5/4g + 2.5
2) Plug k into the other equation to solve for g
-3g - 5k = 7
-3g = 5k + 7
-3g = 5(-5/4g + 2.5) + 7 Use the distributive property
-3g = -6.25g + 12.5 + 7 Combine like terms and simplify
-3g = -6.25g + 19.5 Add 6.25g to both sides
3.25g = 19.5 Divide 3.25 from both sides to find g
g = 6
3) Now we take this g and plug it into the other equation to find k
(we could also just plug it into this equation as well)
5g + 4k = 10
5(6) + 4k = 10
30 + 4k = 10
4k = -20
k = -5.
If we really wanted to doube check this then we could plug the k value into the equation we used to find the g value...
-3(6) - 5(-5) = 7
-18 + 25 = 7
So yes, k = -5 and g = 6.
Paul's bank account used to have $1,250 dollars in it. After saving and following a strict budget he manages to increase that amount by 40%. How much money is in his bank account now?
Can someone pls help me I’m really struggling
If Sophia earns $234.27 for working 9 hours in a day, how much does she earn per hour?
Answer:
$26.03
Step-by-step explanation:
$234.27/9=$26.03
Brainliest to right answer, dont answer if your not sure...also based on the previous answer are the equations equivalent?
Answer:
D
Step-by-step explanation:
To get from A to B you must divide by x on each side, therefore dividing by the same variable expression
Please anyone help me
Answer: Are we supposed to solve for y or?
Step-by-step explanation:
warning: sorry if this doesn't make sense but this all i can get out of this one
-2x + y = -9
x = 9/2 + y/2
y = -9 + 2x
------
same warning here
12x + 3y = 9
x =3/4 - y/2
y = 3 - 4x
sorry if this doesn't help but i hope it does
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent,
how much will it cost her before tax to buy the blouse during the sale?
Answer:
it will cost $19.12
Step-by-step explanation:
Answer: $19.12
Step-by-step explanation:
ILL GIVE Brainliest
find the area of the polygon
Answer:
27.5 units^2
Step-by-step explanation:
Total area = Area of triangle ILH + Area of parallelogram JKLI
Area of triangle ILH
= 1/2 * b * h
= 1/2 * 5 * 5
= 12.5 units^2
Area of parallelogram JKLI
= bh
= 3 * 5
= 15 units^2
Total area
= Area of triangle ILH + Area of parallelogram JKLI
= 12.5 + 15
= 27.5 units^2
Which of these inequalities are equivalent to r > -11? Check all that apply.
-r -33
-3r 33
Answer:
the first choice, the third, and the fourth
The inequality which is equal to r>-11 is -3r<33.
What is inequality?Inequality is like an equation but it is expressed in greater than ,less than ,greater than or equal to and less than or equal to form. It also shows a relationship between two or more variables. We can also change sign by putting negative sign in both sides of the sign.
How to find inequality?We have been given inequality as r>-11 and we have to find the appropriate equivalent inequality from the given options.
We can find the inequality by multiplying and changing sign by putting negative sign on both sides of sign.
r>-11
Multiply both sides by 3
3*r>-11*3
3r>-33
Change > sign to < sign.
-3r<-(-33)
-3r<33
Hence the inequality which is equal to r>-11 is -3r<33.
Learn more about inequality at https://brainly.com/question/24372553
#SPJ2
I've worked out the problem multiple times but I don't get any of the answer choices. Can someone work it and tell me what you get? The answer I have selected is closest to what I'm getting.
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[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \div \frac{ {a}^{2} + 3a + 9 }{a + 3} = \\ [/tex]
[tex] \frac{ {a}^{3} - 27 }{ {a}^{2} - 9 } \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)} \times \frac{a + 3}{ {a}^{2} + 3a + 9 } = \\ [/tex]
[tex] \frac{(a - 3)(a + 3)( {a}^{2} + 3a + 9) }{(a - 3)(a + 3)( {a}^{2} + 3a + 9) } = \\ [/tex]
[tex]1[/tex]
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The correct answer is the first option .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
Answer:
66 %
Step-by-step explanation:
it is 66% because 203 is less than half of 605 .So, you would add together .
203+203=406 Thats not even close to 605 so now you add almost half so that would be about 66%
IT'S D
HOPE THIS HELPED MARK ME BRAINLIST PLS
line of best fit - scatter plot questions
Answer:
d
Step-by-step explanation:
the answer is d cause you can get it later if you know what I mean
Given that sec(0) =25/7
and 0 is in Quadrant I, find csc(0) and tan(0).
Answer:
Csc(0)=24/27 and Tan(0)= 24/7
Step-by-step explanation:
We know that secant is the inverse of cos. So that Sec(x) = Cos^-1(x)= hypotenuse/adjacent. We now know that 25 is hypotenuse and 7 is the length of side adjacent to angle theta.
Given this information we can find the length of side opposite to theta, which has length 24.
Now we know:
Hypotenuse=27
Adjacent=7
Opposite=24
Csc is inverse of sin, so that scs=sin^-1=hypotenuse/opposite=27/24
and tan=opposite/adjacent=24/7
the equation y=7× represents a proportional relationship. What is the constant of proportionality
The answer is the number 7
Three computers just scanned for viruses at the same time. Computer A runs a virus scan every 10 days. Computer B runs a virus scan every 12 days, and Computer C runs a virus scan every 16 days. How long will it be until all the computers run a virus scan at the same time again?
Answer: 240 days.
Step-by-step explanation:
The number of days that it'll will be until all the computers run a virus scan at the same time again will be calculated by solving for the lowest common multiples of the numbers. This will be:
Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240.
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240
Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240
Here, we can see that the least common multiple is 240. Therefore, all the computers will scan at the same time in 240 days.
What is the percent equation
Answer:
a fraction with 100 as the denominator and the other fractions denominator 100 and input the other two numbers.
Step-by-step explanation:
HELP PLEASE
I need to know a line that goes through (17,1/3) and (25 1/2,1/2) aka the slope
Answer:
0.16/8.5
Step-by-step explanation:
so to get the slope use (Y2-Y1) over (X2-X1)
this means that the formula is
1/2-1/3
---------
25.5- 17
What is: X+2-3= When X=1
Answer:
0
Step-by-step explanation:
1+2 =3 3-3=0
Answer:
0
Step-by-step explanation:
If X=1, substitute that value into the equation. x(1) + 2 - 3 = 1 + 2 - 3 = 3 - 3 = 0
Hope this helped! If it did, please mark me as brainliest! :) Thanks!
Solve the literal equation
X= (a+b+c)/(ab)
for a.
Answer:
a = (b + c)/(bx - 1)Step-by-step explanation:
Given
x= (a+b+c)/(ab)Solving for a
x = (a + b+ c)/(ab)abx = a + b+ cabx - a = b + ca(bx - 1) = b + ca = (b + c)/(bx - 1)The length of a rectangle is equal to triple the width. what is its width and length if its perimeter is 88 centimeters.
Answer:
56fifjjfiggitrireieisixii3eiirr
Answer:
Length = 33 cm
width = 11 cm
Step-by-step explanation:
a = 3w ⇒ eq. 1
88 = 2(a+w) ⇒ eq. 2
a = length
w = width
then:
replacing the value of the eq. 1 on the eq. 2
88 = 2(3w + w)
88/2 = 4w
44 = 4w
w = 44/4
w = 11 cm
from the eq. 1
a = 3w
a = 3*11
a = 33cm
Check:
perimeter = 88 = 2(a+w)
88 = 2(33+11)
88 = 2*44
5.(A.3A) The table represents some points on the graph
of a linear function. What is the slope of this
function?
х у
-6-7
0-10
6-13
12-16
Answer:
3
Step-by-step explanation:
Park rangers at a game preserve in Africa observed a cheetah run 3
3
5
miles in
1
20
hour. What was the cheetah’s speed in miles per hour (mph)?
A.
9
50
mph
B. 5
5
9
mph
C. 72 mph
D. 92 mph
2
Among other ingredients, a recipe for paella calls for
3
4
pound of chorizo and
1
2
cups of rice. What is the unit rate of pounds of chorizo to cups of rice in the recipe?
A.
3
10
pound of chorizo per cup of rice
B.
8
15
pound of chorizo per cup of rice
C. 1
7
8
pound of chorizo per cup of rice
D. 3
1
3
pound of chorizo per cup of rice
3
Mary Ellen has a white oak tree in her backyard. She observed that the tree had grown
2
3
foot in
3
4
year. What is the tree’s growth rate in feet p
Answer:
Cheetah's speed = 2.79 miles per hour
Step-by-step explanation:
Speed = Distance / Time
Distance = 335 miles, Time = 120 hours
So, speed = 335 / 120
Speed = 2.79 mph
What is the slope of the linear function?
Answer:
the slope is [tex]\frac{7}{4}[/tex]
Step-by-step explanation:
Given: 4y - 7x = 10; solve y
4y - 7x = 10; add 7x to both sides to isolate the 4y variable
4y = 7x + 10; now divide by 4
y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{10}{4}[/tex]; reduce the fraction
y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{5}{2}[/tex]; the slope is
Answer:
m= 7/4
Step-by-step explanation:
What is the slope-intercept equation of the line below?
My answer would be A. Because if your line is going down, it is a negative slope. And the y-intercept is at negative 1.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
the y intercept is -1 becuase thats where the point is located on the y axis and the slope is -2x because rise over run go up 2 over one
To solve the following system by elimination of the x terms, if the first equation were multiplied by -4, by what number would you multiply the second equation?
Answer:
6
Step-by-step explanation:
Multiply by 6 and you can eliminate x or y.