Whenever w is an integer greater than 1, logw w^2/w^6=?
-4
-3
-1/3
1/3
3

Whenever W Is An Integer Greater Than 1, Logw W^2/w^6=?-4-3-1/31/33

Answers

Answer 1

Answer:

Option (1)

Step-by-step explanation:

Given expression is,

[tex]\text{log_w(\frac{w^2}{w^6})}[/tex][tex]\text{log}_w(\frac{w^2}{w^6} )[/tex]

Let the given expression is equal to y.

[tex]\text{log}_w(\frac{w^2}{w^6} )=y[/tex]

By applying logarithmic rule,

[tex](\frac{w^2}{w^6} )=w^y[/tex]

[tex]w^2\times w^{-6}=w^y[/tex]

[tex]w^{2-6}=w^y[/tex]

[tex]w^{-4}=w^y[/tex]

[tex]y=-4[/tex]

Therefore, value of the given expression [tex]\text{log}_w(\frac{w^2}{w^6} )=-4[/tex].

Option (1) will be the correct option.


Related Questions

Find the sum of−3x^2

Answers

Answer:

[tex]x+y=2[/tex]

[tex]y=-x+2[/tex]

[tex]slope (m)=-1[/tex]

[tex]slope ~of ~perpenddicular ~line:-[/tex]

[tex]-1/m_{2}[/tex]

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

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

hope it helps...

have a great day!

Find the area of the circle. Leave your answers in terms of pi.

Answers

Answer:

49pi m^2

Step-by-step explanation:

Area of circle=pi r^2

D=2r=14

r=7

Area of circle =7^2pi=49pim^2

Answer:

Step-by-step explanation:

The diameter = 14m

r = d/2

r = 14/2

r = 7

Area = pi * r * r

Area = 7 * 7 * pi

Area = 49 pi


helppppppppppppp pla

Answers

A. 20 x 6
Hope i helped in time (:

Answer:

20 X 6 would be the answer.

a book had a sale and it was 20% off. the price now is $7.00. What was the original price?





show work

Answers

Answer:

List Price = $ 8.75

Discount Amount = $ 1.75

the original price is $8.75 because 20% is 0.2 in decimal formation. multiply that to 8.75 and you get $1.75. if you subtract $1.75 from $8.75 you get $7.00

What is the mode of this data set?
12, 12, 13, 14, 17, 16

Answers

Answer:

Mode = 12

Step-by-step explanation:

If you need--

Median-13.5

Mean-14

Answer:

12

Step-by-step explanation:

the mode is the number that is the most in fashion

here 12 appears the most

Find the measure of the exterior angle.

Answers

Answer:

33+x+18=2x+3

51+x=2x+3

51-3=2x-x

48=x

Step-by-step explanation:

2x+3

2*48+3

96+3

99

A company rents out 18 food booths and 27 game booths at the county fair. The fee for a food booth is $50 plus $6 per day. The fee for a game booth is $65 plus $8 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.

Answers

Answer:

$2655 + $324d

Step-by-step explanation:

total cost of a booth = fixed cost + (variable cost x number of days)

Fixed costs are costs that do not vary with output

Variable costs are costs that vary with production

cost of 18 food booths = 18(50 + 6d) = 900 + 108d

cost of 27 game booths = 27(65 + 8d) = 1755 + 216d

Add the total cost of the food and game booths together 900 + 1755 = 2655

108d + 216d = 324d

1.3. If Sara draws a red ball and DOES NOT RETURN it, and then she goes to draw a green
ball, is this considered a dependent or independent event?

Answers

Answer:

Dependent Event

Step-by-step explanation:

Assume that are 10 balls, such that:

[tex]Red = 6[/tex]

[tex]Green = 4[/tex]

If the balls are replaced after taken, the probability is:

[tex]Pr(Red) = 6/10[/tex]

[tex]Pr(Green) = 4/10[/tex]

This is referred to as independent event; because each selection do not affect the next or previous selection

However, if the balls are not replaced, the probability is:

[tex]Pr(Red) = 6/10[/tex]

[tex]Pr(Green) = 5/(10 - 1) = 5/9[/tex]

We subtracted 1 because there is a reduction in the number of balls when the red ball is not returned.

This is referred to as independent event; because a selection affects the next selection

helppp pleaseee:(im failing

Answers

Answer:

1.o5 I fell i I'm in heven

HELP PLEASE!!!! LOOK AT PHOTO

Answers

x+10/(x+9)(x-2).(3x-6)(x-2)/3(x+10)

3(x-2)/3(x+9)(x-2)

1/x+9

i need help with this new one plz and thank you

Answers

Answer:

51.04

Step-by-step explanation:

What's the answer to

"find the value of
√121 + 3√125" "? ​

Answers

Answer:

11+15√5

Step-by-step explanation:

mat.hway

solve for X. Assume that lines which appear tangent are tangent

Answers

Answer:

C

Step-by-step explanation:

which expressions are equivalent to 4-3 over 4-1

Answers

Answer:

B

cause when dividing you are subtracting the exponents

so it 4^-3+1 = 4^-2

you shouldnt have negative exponents

so you flip it, which become 1/4^2

Hope that answers your question

Don't hesitate to comment if you are confused about something

Step-by-step explanation:

Find the range of the data set: 400, 340, 870, 400

Answers

Answer:

530 870-340=530

Step-by-step explanation:

Answer:

Hello There!!

Step-by-step explanation:

Range means when you do the highest number takeaway from the smallest number.

870-340=530.

hope this helps,have a great day!!

~Pinky~

please find the volume of the cone!!

Answers

[tex]volume = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]

Plugging in our values,

[tex]volume = \frac{1}{3} \times 3.142 \times {1}^{2} \times 2 = \frac{1}{3} \times 3.142 \times 2 = 2.095{m}^{3} \\ [/tex]

So the answer is,

[tex]2.095{m}^{3} [/tex]

Si a una persona le deben 7/9 de $450000 y sólo le cancelan 3/5 de esa deuda. ¿Cuánto dinero le quedan debiendo?

Answers

Answer:

$140,000

Step-by-step explanation:

Paso 1

Si a una persona le deben 7/9 de $ 450,000

La cantidad que se le debe a la persona se calcula como:

7/9 × $ 450,000

= $ 350,000

Paso 2

Solo se cancela 3/5 de esa deuda.

El monto de la deuda que se cancela se calcula como:

3/5 × $ 350,000

= $ 210,000

Paso 3

Por lo tanto, la cantidad de dinero que debe se calcula como:

$ 350,000 - $ 210,000

= $ 140,000

Writing a linear equations

Answers

Answer:

y = 1/2 x - 2

Step-by-step explanation:

The standard linear equationof a line is expressed as y = mx+b

Using the coordinate points (0, -2) and (2, -1)

Slope m = -1-(-2)/2-0

m = -1+2/2

m = 1/2

Since the line cuts the y axis sat y = -2, hence the intercept b = -2

Get the required equation;

Recall that y = mx+b

y = 1/2 x + (-2)

y = 1/2 x - 2

This give the required linear equation

The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape of the cross
section formed?

Answers

Is there any like math or equations??

PLZ HELP
In ⊙C, DE ≅ FG, Which statement must be true? Select all that apply.

Answers

Answer:

E because is covered all angle

< DCE ≅ < GCF must be true

Hence Option A and E are true statements.

What are angles of circle?

A circle has a total of 360 degrees all the way around the center, so if that central angle determining a sector has an angle measure of 60 degrees, then the sector takes up 60/360 or 1/6, of the degrees all the way around. In that case, the sector has 1/6 the area of the whole circle.

According to the given figure:

DE ≅ FG

So < DCE ≅ < GCF must be true

Because DE ≅ FG

< DCE ≅ <GCF is similar to DE ≅ FG

Hence, < DCE ≅ < GCF must be true

Hence Option A and E are true statements.

Learn more about angles of circle here

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In parallelogram MNPT, IZM= (6x + 10)° and
mZN= (5x + 10.5)° . How many degrees is ZT?

Answers

Answer:

83 degrees

Step-by-step explanation:

We can use the consecutive angle theorem to find the the value of x.

We can do that by doing 5x+10.5+6x+10 = 180

After simplifying, we get 11x+20.5=180

Subtract 20.5 on both sides and you get 11x=159.5.

Divide by 11 on both sides and you get x=14.5

Now we can use opposite angle theorem and set angle N and angle T equal.

That means we could write 5x+10.5 = m<T

We can substitute 14.5 for x and we get 72.5+10.5 = m<T

Simplify and you get 83 = m<T

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

Hope this helps!

In a completely randomized design involving three treatments, the following information is provided:Treatment 1Treatment 2Treatment 3Sample Size5105Sample Mean489The overall mean for all the treatments is _______.

Answers

Answer:

7.25

Step-by-step explanation:

Given :

___________ Sample size __ sample mean

Treatment 1 ____ 5 _______ 4

Treatment 2 ____ 10 ______ 8

Treatment 3 ____ 5 _______ 9

Sample size = (5 + 10 + 5). = 20

Overall mean = ((5*4). + (10*8) + (5*9)) / 20

Overall mean = (20 + 80 + 45) / 20

= 145 / 20

= 7.25

Review the graph of function f(x). On a coordinate plane, a curve starts at closed circle (negative 2, 2), curves down to (negative 1, 1), and curves up through (0, 2) to closed circle (3, 6). Using the extreme value theorem, what are the minimum and maximum values of f(x)? minimum value = 1; maximum value = 6 minimum value = 2; maximum value = 6 minimum value = –1; maximum value = 3 minimum value = –2; maximum value = 3

Answers

Answer:

A. minimum value = 1; maximum value = 6

Step-by-step explanation:

Correct on Edge 2021

The temperature in a room begins at 70°F and decreases at a rate of 8 F per hour. Which of the following tables represents this situation? ​

Answers

Answer:

B

( temp starts at 70 and DECREASES 8 per HOUR )

13. A bag contains 8 red marbles, 4 purple marbles, 5 green marbles, 2 orange, and 1 blue
marbles. One marble is selected and replaced. A second marble is selected. Find the
probability of each compound event. Show work and simplify your solutions.
a)
Not selecting an orange marble and then a blue marble
b)
Selecting a green or red marble and then a purple marble

Answers

Answer:

a) 9 / 200

b) 13 / 100

Step-by-step explanation:

a) The two events are independent because they do not depend each other since the marbles are replaced. To find the total probability of two independent events, you multiply the probability of each event together.

Probability is represented by the amount of desirable outcomes over the total number of outcomes. The total would be the number of marbles, which is: 8 + 4 + 5 + 2 + 1 = 20 outcomes. The number of orange marbles is 2, so the outcomes where you do not pick orange are 20 - 2 or 18 outcomes. The probability of not picking an orange marble would be 18 / 20 or 9 / 10 (using the formula for probability).

There is one outcome where we can pick a blue marble, so the probability of picking a blue marble is 1 / 20. Now, we need to multiply the probabilities for each event: 1 / 20 * 9 / 10  = 9 / 200

b)There are 5 green marbles and 8 red marbles, so the the total outcomes where you pick green or red is 13. We put that over our total to get 13 / 20.

There are 4 purple marbles, so the probability of picking purple is 4 / 20 or 1 / 5. Now we multiply the two probabilities to get the total probability: 1 / 5 * 13 / 20 = 13 / 100

if the probability of rain tomorrow is 0.15 what is the probability that it will not rain​

Answers

Answer:

85% or 99.85%

Step-by-step explanation:

If you mean 15% by 0.15 then the probability that it will not rain is 85% because, 100-15=85.

If you mean 0.15% by 0.15 then the probability that it will not rain is 99.85% because, 100-0.15 is 99.85.

A living room wall is 20 feet long, and 12 feet high. How much paint do you need to cover one wall?

Answers

Answer:

240

Step-by-step explanation:

hello! i'm assuming you need to find the area, so you would need to multiply 20 and 12. Hope this helped and have a nice day/night!

- Holl ^^

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

The area of the living room wall = The area of the rectangle

The amount of paint needed to cover one wall is 240 square feet.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

Example:

The area of a rectangle with length 2cm and width 3cm is 6cm².

We have,

A living room wall is 20 feet long, and 12 feet high.

The living room can be considered a rectangle.

Length = 20 feet

Width = 12 feet

The area of the living room wall = Area of a rectangle

Now,

Area of the living room wall.

= 20 x 12

= 240 square feet

Thus,

The amount of paint needed to cover one wall is 240 square feet.

Learn more about rectangles here:

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The mean age of 5 women in an office is 23 years old. The mean age of 3 men in an office is 24 years old. What is the mean age (nearest year) of all the people in the office?

Answers

Answer:

23

Step-by-step explanation:

Women total age = 5 x 23 = 115

Men total age = 3 x 24 = 72

The mean age of all the people

= (115+72)÷(8)

= 23.375

= 23 (nearest year)

The mean age (nearest year) of all the people in the office is 23

How to determine the mean age?

The given parameters are:

5 women = 23 years

3 men = 24 years

Mean is calculated using:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{23 * 5 + 24 * 3}{5 + 3}[/tex]

Evaluate the quotient

[tex]\bar x = 23[/tex]

Hence, the mean age (nearest year) of all the people in the office is 23

Read more about mean at:

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fred has 15000 in his savings account with an interest rate of 1.8%. assuming he doesn't add or subtract from this amount, find the estimated account balance after 22 years

Answers

Answer:

A = $20,940

Step-by-step explanation:

Interest = Principal x Rate x Time

I = prt

I = 15000(.018)(22)

I = 5940

Interest = $5,940

Total Amount = Principal + Interest

A = P + I

A = 15000 + 5940

A = 20940

Write an exponential function in the form y=ab^xy=ab
x
that goes through points (0, 12)(0,12) and (3, 6144)(3,6144).

Answers

Answer:

y1 = abx1 and y2 = abx2

Step-by-step explanation:

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