-8z^{-2} Write the expression using only positive exponents. Assume no denominator equals zero.

Answers

Answer 1

Answer:

Step-by-step explanation:

-8z⁻² = -8/z²


Related Questions

Determine the value of K that will cause f(x)=Kx^2+4x-3 to intersect the line g(x)=2x-7 at one point. SHOW ALL YOUR STEPS, DON'T USE DECIMALS INSTEAD USE FRACTIONS PLEASE!!!!!

Answers

Given:

The function are:

[tex]f(x)=Kx^2+4x-3[/tex]

[tex]g(x)=2x-7[/tex]

The graph of f(x) intersect the line g(x) at one point.

To find:

The value of K.

Solution:

The graph of f(x) intersect the line g(x) at one point. It means the line g(x) is the tangent line.

We have,

[tex]f(x)=Kx^2+4x-3[/tex]

Differentiate this function with respect to x.

[tex]f'(x)=K(2x)+4(1)-(0)[/tex]

[tex]f'(x)=2Kx+4[/tex]

Let the point of tangency is [tex](x_0,y_0)[/tex]. So, the slope of the tangent line is:

[tex][f'(x)]_{(x_0,y_0)}=2Kx_0+4[/tex]

On comparing [tex]g(x)=2x-7[/tex] with slope-intercept form, we get

[tex]m=2[/tex]

So, the slope of the tangent line is 2.

[tex]2Kx_0+4=2[/tex]

[tex]2Kx_0=2-4[/tex]

[tex]x_0=\dfrac{-2}{2K}[/tex]

[tex]x_0=-\dfrac{1}{K}[/tex]

Putting [tex]x=x_0,g(x)=y_0[/tex] in g(x), we get

[tex]y_0=2x_0-7[/tex]

Putting [tex]x=-\dfrac{1}{K}[/tex] in the above equation, we get

[tex]y_0=2(-\dfrac{1}{K})-7[/tex]

[tex]y_0=-\dfrac{2}{K}-7[/tex]

Putting [tex]x=-\dfrac{1}{K}[/tex] and [tex]f(x)=-\dfrac{2}{K}-7[/tex] in f(x).

[tex]-\dfrac{2}{K}-7=K\left(-\dfrac{1}{K}\right)^2+4(-\dfrac{1}{K})-3[/tex]

[tex]-\dfrac{2}{K}-7=\dfrac{1}{K}-\dfrac{4}{K}-3[/tex]

[tex]-\dfrac{2}{K}-7=\dfrac{-3}{K}-3[/tex]

Multiply both sides by K.

[tex]-2-7K=-3-3K[/tex]

[tex]-2+3=7K-3k[/tex]

[tex]1=4k[/tex]

[tex]\dfrac{1}{4}=K[/tex]

Therefore, the value of K is [tex]\dfrac{1}{4}[/tex].

Alyssa invested $180 in an account paying an interest rate of 8 and 3/8 % compounded annually. Lily invested $180 in an account paying an interest rate of 8 and 1/8 % compounded continuously. To the nearest hundredth of a year, how much longer would it take for Alyssa's money to triple than for Lily's money to triple?

Answers

Answer:

Step-by-step explanation:

Please check out the attachments for the solution :)

Evaluate the expression for x = 10 . 3x + 4(x - 8) - 14

Answers

Answer:

[tex]{ \tt{3x + 4(x - 8) - 14}} \\ = { \tt{3x + 4x - 32 - 14}} \\ = { \tt{7x + 46}}[/tex]

Which is the pair of congruent right angles?

Answers

Answer:

2nd

2nd option <cba=<dea

Answer:

B  

as DE=CB

    <C=<D

    <B= <E

Therefore it is congruent

Have a nice day!

You have to evaluate the question for a and b

Answers

Answer:

11

Step-by-step explanation:

a+b^2

Let a=2 and b=3

2+3^2

2 + 9

11

Answer: 11

2 + (3 x 3 )

2 + 9

The required answer would be 11 :)

Step-by-step explanation:

Find the greatest common factor of 15 x²y³ and -18 x³yz.
_x--y--​

Answers

Answer:

3x^2y

Step-by-step explanation:

Its common factor it this ^ this symbol represent power

What is the factored form of x2 + 4xy – 21y2?
A. xy(x + 4 – 21y)
B. (x – 3y)(x + 7y)
C. x(x + 4y) + y(4x – 21y)
o
D. (x + 3y)(x - 7y)

Answers

[tex]\sf \: {x}^{2} + 4xy - 21 {y}^{2} [/tex]

[tex]\sf \: Rewrite \: the \: equation⟹( {x}^{2} - 3xy) + (7xy - 21y {}^{2} )[/tex]

[tex]\sf \: 1)( {x}^{2} - 3xy) = x(x - 3y)[/tex]

[tex]\sf2) \: (7xy - 21 {y}^{2} ) = 7y(x - 3y)[/tex]

[tex]\sf \: Now \: the \: equation \: becomes \: ⟹ \\ \sf \: x(x - 3y) + 7y(x - 3y)[/tex]

[tex]\sf \: Factor \: out \: the \: common \: term \: (x - 3y) \\ \sf =( x - 3y) + (x + 7y) \\ [/tex]

Answer ⟶ [tex]\boxed{\sf {B) (x-3y)(x+7y)}}[/tex]

flor ha colocado ¹1/4 kg de papa sobre una balanza . si un cliente le quiere comprar 2 kg de papa , ¿cuantos kilogramos (kg) de papa debe agregar flor sobre l balanza para cumplir con el pedido?

a)3/4 kg de papa

b)¹ 3/4 kg de papa

c1/4 kg de papa

d)¹ 1/4

RAPIDO POR FAVOR E UN EXAMEN SALVEMME LA VIDA

Answers

Answer:

a). 3/4 kg de papa

Step-by-step explanation:

Given that,

Patata colocada en balanza = 1 1/4 Kg

Flor de papa total quiere = 2 kg

Encontrar,

Se agregará más peso en la báscula para que sea de 2 kg =?

Procedimiento:

Peso requerido para ser colocado = Peso total - peso colocado

= 2 - [tex]1\frac{1}{4}[/tex]

= 2 - 5/4

= (8 - 5)/4

= 3/4 kg

Calcular x en: los datos q faltan

Answers

Answer:

x = 13

Step-by-step explanation:

No se exactamente como decir esto porque yo ayudo la majoria de los usuario en ingles pero hay que usar un método para describir a x

Un método que se llama Pythagorean theorem

Pythagorean theorem: a^2 + b^2 = c^2 donde a^2 = 5 b^2 = 12 y c^2 = x

Entonces…

5^2 + 12^2 = c^2

Nota: podemos ver que esto esta bien porque el sum de los dos lados suma el mas largo.

Ahora

25 + 144 = c^2

c^2 = 169

Pero eso no puede ser la respuesta porque no tiene sentido a que x sea un lado que mide 169 entonces tenemos que usar sqrt rt

sqrt rt de 169 = 13

x = 13

The diameter of a cylinder is twice the height (h) of the cylinder. Show that the total surface area of the cylinder is:
[tex]4\pi \ {h}^{2} [/tex]

Answers

Answer:

Please check explanations

Step-by-step explanation:

The diameter is twice the height;

if diameter is d and height is h

Then;

d = 2h

But, we know that the radius is half the diameter size. Which means that the diameter is twice the radius

Thus;

2r = 2h

Then r = h

Mathematically the total surface area of a cylinder is;

2pi r (r + h)

substitute h for r

2pi h(h + h)

= 2pi * h * 2h

= 4 pi h^2 (QED)

Which graph represents an exponential function?

Answers

Answer: where's the pic?

Step-by-step explanation:

Chris and Josh have a total of 1,800 stamps in their collections, Josh and Jessica have a total of 2,200 stamps, and Jessica and Chris have a total of 2,000. How many stamps in all the three children have?

Answers

Answer: 3000 stamps

Step-by-step explanation:

Given

Chris and Josh have 1800 stamps

Josh and Jessica have 2200 stamps

Jessica and Chris have 2000 stamps

Suppose Chris, Josh, and Jessica have [tex]x,y, \text{and}\ z[/tex] stamps

[tex]\therefore x+y=1800\quad \ldots(i)\\\Rightarrow y+z=2200\quad \ldots(ii)\\\Rightarrow z+x=2000\quad \ldots(iii)\\\text{Add (i), (ii), and (iii)}\\\Rightarrow 2(x+y+z)=1800+2200+2000\\\Rightarrow x+y+z=3000[/tex]

Thus, all three have 3000 stamps

What is the quotient ? 7-6 72 1 o 1 o 1 72 O 73 0 78​

Answers

Answer:

A. 1/7^8

Step-by-step explanation:

Given

(7^-6) / 7²

Both numerator and denominator has the same base, so just one of the bases will be picked

Division sign changes to minus in indices

(7^-6) / 7²

= 7 ^(-6-2)

= 7^-8

= 1/7^8

Note: a^-b

= 1/a^b

The same rule is used at the last step of the calculation

Answer is

A. 1/7^8

What is the measure of

Answers

60° because it's an equilateral triangle

A hall has 22 rows of chairs there are 18 chairs in each row how many extra rows of chairs are needed to seat 468

Answers

Answer:

Total chairs = 18×22= 396

so no. of extra chairs need = 468-396 = 72

Now( 72/18) rows = 4 rows

Therefore 4 more rows are needed here

Hope it helps you

Answer: 4

Step-by-step explanation:

The amount of chairs in the hall can be found by multiplying 22 by 18 and getting 396. The amount of chairs needed is 468, so 468-396 gets you the amount of chairs still needed and the number 72. There are 18 chairs in each row, and 72/18 is 4. So 4 more rows are needed.

The legs of a right triangle have the following measurements: 5 and 10 inches. What is the length of the hypotenuse??


show work.

Answers

Answer:

[tex]5\sqrt{5}[/tex]

Step-by-step explanation:

1. [tex]5^2 +10 ^2 = c^2[/tex]

2. [tex]c^2 = 125[/tex]

3. [tex]c = 5\sqrt{5}[/tex]

Answer:

approximately 11.18 inches or [tex]5\sqrt{5[/tex] inches

Step-by-step explanation:

We have to use Pythagorean Theorem for this problem. a^2 + b^2 = c^2, where c is the hypotenuse and a/b are legs of the right triangle.

5^2 + 10^2 = c^2, 25 + 100 = c^2, 125 = c^2, sqrt125 = c

sqrt125 can be simplified to 5sqrt5 (25 * 5 = 125, sqrt25 = 5)

The hypotenuse is approximately 11.18 inches or [tex]5\sqrt{5[/tex] inches.

4. What is the correct ratio for sin A?
A) 5/12
B) 12/13
C) 5/13
D) 13/12

Answers

Answer:

sin A = 12 /13

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin A = opp / hyp

sin A = 12 /13

Find the slope of the line for each pair of points (-17, -5) (15, -13)

Answers

(-17,-5) (15,-13)
-13 - -5/ 15 - -17
-8/32
The slope is -4

15. Mary was given data comparing students’ mark in math class and the number of classes missed. She plotted the data on the graph below and drew a line of best fit. Do you agree with Mary’s drawing of the line of best fit? Justify your answer. PLEASE HELP ITS RLLY IMPORTANT

Answers

Answer:

I dont know

Step by Step Explanation:

nobodys helping me out 0.1

Please answer only questions 18 and 20 please help me ​

Answers

Answer:

18 is 64 days

20 is 1 37/128

Step-by-step explanation:

I looked it up if I am being completely honest with you but it should be correct

You do 8 x 7 answer divided by 7 answer times by 8 for 18

Solve the equation x^2 - 4x + 6 = 9 by completing the square.

Answers

Hello!

x² - 4x + 6 = 9 <=>

<=> x² - 4x + 6 - 9 = 0 <=>

<=> x² - 4x - 3 = 0 <=>

<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>

<=> x = 4±√16+12/2 <=>

<=> x = 4±√28/2 <=>

<=> x = 4±2√7/2 =>

=> x = 4+2√7/2 and x = 4-2√7/2 =>

=> x = 2+√7 and x = 2-√7

The equation has two solutions.

Good luck! :)

Answer:  [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]

how i got it?

[tex]x^2 - 4x + 6 = 9[/tex]

*subtract 9 on both sides*

[tex]x^2 - 4x + 6 - 9 = 0[/tex]  ( which turns to) [tex]x^2 - 4x - 3=0[/tex]

a=1 or x, b=-4, c=-3

Step 2: Use quadratic formula with a=1, b=-4, c=-3.

[tex]x= - (-4) + or - \sqrt{-4}x^{2} -4(1)(-3) / 2(1)[/tex]

which turns to: x= 4 + or - √28 divided by 2

the final answer should be [tex]x= 2 + \sqrt{7}\\ or \\ x= 2 - \sqrt{7}[/tex]

Ms. Jones wants to paint her kitchen's wall. She knows that 2 gallons of paint cover 80 square feet, and each gallon costs $20.80. If the area of the kitchen is 320 square feet, how much will she pay to buy the gallons of paint needed? Round your answer to the nearest cent (HUNDRED TH), and write ONLY a number (NO $)​

Answers

She will need 4 two gallons and it will be 83.2 in total

please answer quick!

Answers

Answer:

-4/5

Step-by-step explanation:

sin theta = opp/ hyp

sin theta = -3 /5

Using the Pythagorean theorem

opp ^2 + adj ^2 = hyp ^2

(-3) ^2 + adj ^2 = 5^2

9+ adj ^2 = 25

adj ^2 = 25 - 9

adj ^2 = 16

Taking the square root of each side

adj = ±4

Since we are in the 3rd quadrant  sin and cos are both negative so adj must be negative

adj = -4

cos theta = adj / hyp

cos theta = -4/5

what is the domain of the function is this table?

Answers

Answer:

B

Step-by-step explanation:

Domain is the set of x values

Looking at the table we can say that the set of x values ( domain ) is {1,2,3,4}

Find the following sums. Please help.

Answers

Answer:

5m-n-4p

4a^2+6x-3

Step-by-step explanation:

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

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

Combine like terms

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

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

(3-5+7)m  +(-4+9-6)n  +(7-6-5)p

5m-n-4p

a^2  -3x +1

a^2   +9x -6

2a^2 +0x +2

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

Combine like terms

a^2  -3x +1

a^2   +9x -6

2a^2 +0x +2

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

(1+1+2)a^2 +(-3+9+0)x +(1-6+2)

4a^2+6x-3

#1

[tex]\\ \sf\longmapsto 3m-4n+7p+(-5m+9n-6p)+7m-6n-5p[/tex]

[tex]\\ \sf\longmapsto 3m-4n+7p-5m+9n-6p+7m-6n-5p[/tex]

[tex]\\ \sf\longmapsto 3m-5m+7m-4n+9n-6n+7p-6p-5p[/tex]

[tex]\\ \sf\longmapsto 5m-n-4p[/tex]

#2

[tex]\\ \sf\longmapsto a^2-3x+1+a^2+9x-6+2a^2+2[/tex]

[tex]\\ \sf\longmapsto a^2+a^2+2a^2-3x+9x+1-6+2[/tex]

[tex]\\ \sf\longmapsto 4a^2+6x-3[/tex]

a student says the prime factors of 17 are 1 and 17. is the student correct?​

Answers

Answer: yes

A prime factor is number that can only divided by itself and one

Since, 17 can only be divided by 17 and 1, the student is correct

Step-by-step explanation:

y is directly proportional to the cube of x. If x is tripled, what happens to the value of y?

Answers

Answer:

it becomes 27 times larger

Step-by-step explanation:

y = k [tex]x^{3}[/tex]

vs.

y = k[tex](3x)^{3}[/tex]

y = k 27 x^3

Kevin jogged 2 1/2 miles in 1/3 of an hour. What was his average rate in speed in miles per hour? Show your work. ​

Answers

Answer:

7.5 miles per hour

Step-by-step explanation:

Average Speed = Total Distance/Total Time

[tex]\frac{2 \frac{1}{2} }{\frac{1}{3} }[/tex]= 7.5 miles/hour

Answer from Gauthmath

Find the area of the circle x^2+y^2=16 by the method of intregration

Answers

Answer:

Hello,

[tex]16\pi[/tex]

Step-by-step explanation:

[tex]I=\dfrac{Area}{4} =\int\limits^4_0 {\sqrt{16-x^2} } \, dx \\\\Let\ say\ x=4*sin(t),\ dx=4*cos(t) dt\\\\\displaystyle I=\int\limits^\frac{\pi }{2} _0 {4*\sqrt{1-sin^2(t)} }*4*cos(t) \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {cos^2(t)} \, dt \\\\=16*\int\limits^\frac{\pi }{2} _0 {\frac{1-cos(2t)}{2}} \, dt \\\\=8*[t]^\frac{\pi }{2} _0-[\frac{sin(2t)}{2} ]^\frac{\pi }{2} _0\\\\=4\pi -0\\\\=4\pi\\\\\boxed{Area=4*I=16\pi}\\[/tex]

What is the greatest common factor of the polynomial below?
12x2-9x
A. 3x2
B. 3x
C. 4x2
D. 4x

Answers

Answer:

3x

Step-by-step explanation:

factoring it we get

3x(4x-3)

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