1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gnom [1K]
3 years ago
10

(07.04) When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified,

the exponent on the variable z is _____. Numerical Answers Expected! Answer for Blank 1:

Mathematics
2 answers:
anzhelika [568]3 years ago
6 0

Answer:

The exponent on variable z is -5

Step-by-step explanation:

\frac{27x^2z}{-3x^2z^6}

To simplify it we apply property of exponents

a^m / a^n = a^m-n

LEts divide the number first

27/ -3= -9

we have x^2 at the top and bottom . so we cancel it out

\frac{z}{z^6} =\frac{z^1}{z^6} =z^{-5}

Now combine all the terms

-9z^-5

The exponent on variable z is -5

Alik [6]3 years ago
4 0
The answer is negative 5

You might be interested in
The function C (t) = StartFraction 4 t Over t squared + 2 EndFraction models the cost per student of a field trip when x student
Vika [28.1K]

Answer:

It is vertically stretched by a factor of 200 and shifted 10 units up.

Step-by-step explanation:

cool like that

3 0
2 years ago
Read 2 more answers
May someone please help with the way please
Oksana_A [137]

Answer:

17.6 m²

Step-by-step explanation:

Given the ratio of similar shapes = a : b, then

area of shapes = a ² : b²

Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is

PT : PR = 6 : 9 = 2 : 3, thus

ratio of areas = 2² : 3² = 4 : 9

let the area of Δ PQT be x, then using proportion

\frac{4}{x} = \frac{9}{x+22} ( cross- multiply )

9x = 4(x + 22) ← distribute

9x = 4x + 88 ( subtract 4x from both sides )

5x = 88 ( divide both sides by 5 )

x = 17.6

Thus area of Δ PQT = 17.6 m²

5 0
3 years ago
Write a real-world problem given the equation 2/3x = 12. Then solve the equation.
LuckyWell [14K]

Answer:

x = 1/18

Step-by-step explanation:

2/3x = 12

multiply both sides by 3x

2/3x(3x) = 12(3x)

2 = 36x

x = 1/18

5 0
3 years ago
How do I do this <br> X+y=-4<br> 3x-6y=15
avanturin [10]

Answer:

x=-1, y=-3. (-1, -3).

Step-by-step explanation:

x+y=-4

3x-6y=15

---------------

x=-4-y

3(-4-y)-6y=15

-12-3y-6y=15

-12-9y=15

9y=-12-15

9y=-27

y=-27/9

y=-3

x+(-3)=-4

x-3=-4

x=-4+3

x=-1

8 0
3 years ago
En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec
elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².  

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁  (1)  

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):      

l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm  (2)            

a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm   (3)    

El perímetro del rectángulo interno es:

P_{2} = 2l_{2} + 2a_{2}    (4)

Introduciendo la ecuación (2) y (3) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm  

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

 

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

l_{2} = 2a_{2}     (5)

Introduciendo (5) en (4):

P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}

a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm

l_{2} = 2a_{2} = 2*12 cm = 24 cm

Entonces el área es:

A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².      

Espero que te sea de utilidad!  

7 0
2 years ago
Other questions:
  • Consider the sequence below. What is the 10th term of the sequence?
    5·1 answer
  • (e) Divide 55g in the ratio 3:2​
    7·1 answer
  • Write two expressions where the solution is 19
    7·2 answers
  • The width of a rectangle is 12 units. Can the perimeter x of the rectangle can be 60 units when its length y is 18 units?
    14·2 answers
  • Find the real and imaginary zeros of the polynomial function G(x)=2-8x
    6·1 answer
  • Write the equation in standard form.<br> y = -4x – 8
    13·1 answer
  • Hurry ASAP!!!!!! I really need help the first person to answer gets marked as brainliest
    13·1 answer
  • Solve 5(2^x+4)=15 round to the nearest thousandth
    8·1 answer
  • I need answer please​
    6·2 answers
  • Find the area of the circle with a radius of 4 inches use 3.14 do not round your answer
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!