Solve (3^p times 81 = 9) for p

Answers

Answer 1

Answer:

p = -2

Step-by-step explanation:

Start by dividing both sides by 81 to get the power by itself.

[tex]3^p \cdot 81 = 9\\\\3^p=\frac{9}{81}=\frac{1}{9}[/tex]

Write the fraction using a power of 3.

[tex]3^p=\frac{1}{3^2}\\\\3^p=3^{-2}\\\\p=-2[/tex]

This assumes you know about negative exponents:  [tex]a^{-n}=\frac{1}{a^n}[/tex]


Related Questions

8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?

Answers

Answer: $9.23

because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.

find the volume of the prism

Answers

Answer:

volume = 108

Step-by-step explanation:

simple: volume = base x height

9 x 12 = 108

Answer 1452

Step-by-step explanation:

im not sure if im correct but the formua is V  = L x W x H which is volume equal lenth multiplied by with multiplied by height. so 12 x 11 x 11

there are 5 green balls, 1 yellow ball,and 4 red balls in a bag. what are the probabilities?
choosing a red:
not choosing yellow:
choosing a blue:​

Answers

Answer:

it is green balls=5

red balls =4

red +green

5+9

=14

Triangle ADE is proportional to Triangle ABC. Given the side lengths in the diagrams, what is the length of AD?



Group of answer choices

11 in

6 in

8.75 in

8 in

Answers

Answer:

11 inches is your answer sorry if i am wrong i hope this helps

Step-by-step explanation:

Someone please help me

Answers

Answer:

y=x^2 - 1, y=5x^3 + 9, and y=2x(x-3)

Step-by-step explanation:

these equations are either parabolas or a cubic function. These graphs do not have a constant rate of change, proving that Jimmy is incorrect. y=20-4x and y=15 are both straight lines/linear.

Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2

Answers

Answer:

Hello! answer: 2

Step-by-step explanation:

The mode is just the number shown the most in the set of numbers so 2 is the mode because 2 is shown the most Hope that helps!

The mode is 2


You can use calculatorsoup.com if you have anyone more questions like this

Megan surveyed a random sample of 60 students at her school and found that 42 of them ride the bus to school each day. If there are 320 students at Megan’s school, about how many of them ride the bus to school each day?

Answers

Answer:

224 student ride the bus to school each day.

Step-by-step explanation:

help I don’t know the answer

Answers

Report this clown who put the first answer he’s trying to get your ip

PLEASE HELP ASAP!!!

Answers

Answer:

4. x=0 x=5

5. x=-4 x=8

The table shows a student's work when solving the equation 8x-(4x-3)=5.
Which statemen ais true?

Answers

Answer:

x = 1/2

Step-by-step explanation:

8x-(4x-3)=5

Distribute the minus sign

8x -4x +3 = 5

Combine like terms

4x+3 =5

Subtract 3 from each side

4x+3-3 = 5-3

4x = 2

4x/4 = 2/4

x = 1/2

[tex]\frac{x+1}{x-4} -\frac{x+1}{x^{2} ^}-7x+12[/tex]

Answers

(x+1)/(x-3) hope this helps!

Find the volume of the cone, round your answer to the nearest hundredth. Use 3.14
for t.
9
-2-0
units

Answers

Answer: 37.7un^3

Step-by-step explanation:

Volume = 1/3πr^2h

=1/3×π×22×9

=12π

= 37.699111843078 feet3

Help me plssss I rlly need the answer to this

Answers

149___________________
72 degrees
Step by step explanation : 103-31=72

Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours

Answers

Answer:

Step-by-step explanation:

Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together? Rate (Quilts per Hour) Time (Hours) Fraction Completed Renee One-sixteenth x Genera One-twelfth x 6 hours 6 and six-sevenths hours 8 and six-sevenths hours 28 hours

This is calculated as:

1/ number of hours for Renee + 1/ number of hours for Geneva = 1/ Total number of hours that they can do it together

= 1/16 + 1/12 = 1/T

Lowest common denominator = 192

= 12 + 16/192 = 1/T

= 28/192 = 1/T

Cross Multiply

28T = 192 × 1

T = 192/28

T = 6 24/192 hours

Answer:

its b

Step-by-step explanation:

i just took the test :)

find the mean of the following numbers 14,17,28,49

Answers

Answer:

27

Step-by-step explanation:

14 + 17 + 28 + 49 = 108

108 / 4 = 27

HELP FOR BRAQINLIETS
T

Answers

Answer:

A -3-[tex]\sqrt{5\\} \\[/tex]

Step-by-step explanation:

I use the quadratic formula to solve

Answer:

D. -6 + 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The answer is D because to solve for X you use the quadratic formula which is...

-b±[tex]\sqrt{b^{2} - 4ac}[/tex]

now just plug in which would be

-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]

then solve and the final answer would be

-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got  

-6 + 2[tex]\sqrt{5}[/tex]

I want to d!e ahahahahahaha

Answers

Answer:

dont say that-

Step-by-step explanation:

hey! i’ll give brainliest pls help.

Answers

Answer:

hello there!

The correct option should be the second option and the fourth option!

Step-by-step explanation:

comets usually come from the kuiper belt, and the oort cloud.

anyways, hope this helped! qwq

the oort cloud and the kuiper belt - hope this helped!

A certain triangle, one angle measures ten degrees more than the second angle and ten degrees less than the third angle. What is the measure of the smallest angle?

Answers

Answer:

50°

Step-by-step explanation:

Let :

Let the angle = x

Second angle = x + 10

Third angle = x - 10

Sum of angles in a triangle = 180

x + (x + 10) + (x - 10) = 180

x + x + 10 + x - 10 = 180

3x = 180

x = 180 / 3

x = 60

Smallest angle :

x - 10 = 60 - 10 = 50°

drag each expression to show whether it is equivalent to 3 time times 9 or to 2x3x9​

Answers

The first and third one goes to the left box and the second and fourth one goes to the right box

Nurse Jackson examines immunization records for this past winter at the school where she works. Got flu Didn't get flu Total Vaccinated 120 380 500 Not vaccinated 160 140 300 Total 280 520 800 How many students were not vaccinated and did not get the flu? O A. 300 B. 380 O C. 160 D. 140​

Answers

Answer:

140

Step-by-step explanation:

ap3x

What is the median of the stem and lear plot

Answers

Answer:The median is the middle number of a set of data. The mode is the number that occurs the most in a set of data. You can use a stem-and-leaf plot to find the mean, median and mode of a set of data. ... Sometimes there will only be one number in the middle, and sometimes there will be two numbers

Step-by-step explanation:

What is the answer pls I will mark as brainless

Answers

Answer:

-10

Step-by-step explanation:

24+8-(7x6)

30 in.
10 in.
10 in.
30 in
20 in
Find the area of the arrow above.
square inches

Answers

Answer:

1100 Inches Squared

Step-by-step explanation:

Let the triangle on the top right be - (i)

Let the triangle on the top left be - (ii)

Let the bottom rectangle be - (iii)

1) The base of the triangle (i) = 10 + (20/2) (It is the base of the rectangle halfed + the given amount of half base of the triangle)

=> 10 + 10

=> 20 in

Base = 20 in

Height = 30 in

Area = 1/2 * 20 * 30

=> 10 * 30

=> 300 in

Triangle (i) = (ii)

So, the area of triangle (ii)

=> 300 in

Area of rectangle,

Length * Breadth

=> 20 * 30

=> 500 in

Total arrow's area = 300 + 300 + 500 (i + ii + iii)

=> 1100

Therefore the total area of the shape = 1100 in squared.

Hope it helps :)

Find the area of this triangle

Answers

Answer:

6km² sounds like a reasonable answer

which statement describes the effect on the parabola y= x^2 -1 when its is changed to y =x^2 +6?

Answers

The effect on the parabola y = x^2 - 1 when it is changed to y = x^2 + 6 is a translation of 7 units upwards.

What is the effect on the parabola?

First let's do an introduction, for any function f(x), we can define a vertical translation of N units as:

g(x) =f(x) + N

Where if N > 0, the translation is upwards, and if N < 0, the translation is downwards.

In this case, we start with the parabola:

y = f(x) = x^2 - 1

Now we know that the transformed function is:

y = g(x) = x^2 + 6

Now, notice that if we apply a translation upwards of 7 units of the original function we will get:

y = f(x) = x^2 - 1 + 7 = x^2 + 6

We got the transformed function.

Then the effect on the parabola is a translation of 7 units upwards.

Learn more about translations by reading:

https://brainly.com/question/24850937

#SPJ1

Find the area of the shaded region

Answers

Answer:

40

Step-by-step explanation:

area of shaded region = area of whole figure - area of non shaded region

area of whole figure: The whole figure is a rectangle

The area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 10ft and the given length is 8ft

Hence area of whole figure = 10 * 8 = 80ft²

Area of non shaded region: the non shaded region also creates a rectangle

Like stated previously the area of a rectangle can simply be calculated by multiplying the width by the length

The given width is 5ft and the given length is 8ft

Hence, area of non shaded region = 5 * 8 = 40ft²

Finally we can find the area of the shaded region.

We can easily do this my subtracting the area of the nonshaded region from the area of the whole figure

If we have identified that the area of the whole figure is 80 and the area of the non shaded region is 40

Then, area of shaded region = 80 - 40 = 40ft²

Please help with 19 and 20 find domain and range

Answers

19. domain (-infinity, infinity) range (-infinity, approaching but never reaching 3) 20. range (-infinity, infinity) domain (approaching but never reaching 2, infinity)

Four lines are shown in the graph below.



Which line has the slope with the greatest value?

A
line A

B
line B

C
line C

D
line D

Answers

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

Help help yes plsssssssss

Answers

5x-3=c Is your answer
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