What is the value of [tex]\frac{81^4}{3^5}[/tex]? (Express your answer in exponential form.)

Answers

Answer 1

Answer:[tex]3^1^1\\[/tex]

Step-by-step explanation:

[tex]\frac{81^4}{3^5}[/tex]

[tex]\frac{3^1^6}{3^5}[/tex]

The base is same power can be add or subtract

[tex]3^1^6^-^5[/tex]

[tex]3^1^1[/tex]


Related Questions

a) Find csc ∅, given that cot ∅ = -7/2 and cos ∅ < 0
b) Find cot ∅, given that cos ∅ = 15/17 and ∅ is in Quadrant IV

Answers

Answer:

a) csc∅ = √53/2

b) cot ∅ = 15/√514

Step-by-step explanation:

a) The value of cot ∅ = -7/2

cos ∅ < 0

We note that cos(∅) is less than 0 in Quadrant II and III, and cot(∅) is less than 0 in the Quadrant II, therefore, we have;

∅ is in the Quadrant II

csc∅ = (√((-7)² + 2²))/2 =√53/2 ≈ 3.64

csc∅ = √53/2

b) cos∅ 15/17

∅ is in Quadrant IV

∴ cot ∅ = 15/(√(15² + 17²)) = 15/√514 ≈ 0.662

cot ∅ = 15/√514

Question 10: complete the segment addition postulate the following segment

Answers

4 units 5 units it should be

Answer:question AB +BD= AD

BC+CE=BE

Step-by-step explanation:

segment addition postulate

However, does these questions will be marked as brantliest !!!!

Answers

Answer:

i don't see questions but I'll go download the app on your picture:))

4.79 × 10^-6

0.0000000734

Hope this helps! :)

Which of the following pairs of functions are inverses of each other

Answers

Answer:

[tex]f(x) = 5x -11[/tex]  and  [tex]g(x) = \frac{x + 11}{5}[/tex]

Step-by-step explanation:

Required

The inverse pairs

Solving (a):

[tex]f(x) = 5x -11[/tex]    [tex]g(x) = \frac{x + 11}{5}[/tex]

Calculate the inverse of f(x)

[tex]f(x) = 5x -11[/tex]

Replace f(x) with y

[tex]y = 5x - 11[/tex]

Swap x and y

[tex]x = 5y - 11[/tex]

Solve for y

[tex]5y = x + 11[/tex]

[tex]y = \frac{x + 11}{5}[/tex]

So, we have:

[tex]g(x) = \frac{x + 11}{5}[/tex]

Hence, f(x) and g(x) in (a) are inverse functions

Others are not

18 2by5-4 1by10 find the difference

Answers

Given:

The expression is:

[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]

To find:

The difference.

Solution:

We have,

[tex]18\dfrac{2}{5}-4\dfrac{1}{10}[/tex]

It can be rewritten as:

[tex]=\dfrac{90+2}{5}-\dfrac{40+1}{10}[/tex]

[tex]=\dfrac{92}{5}-\dfrac{41}{10}[/tex]

Taking LCM, we get

[tex]=\dfrac{184-41}{10}[/tex]

[tex]=\dfrac{143}{10}[/tex]

[tex]=\dfrac{140+3}{10}[/tex]

[tex]=14\dfrac{3}{10}[/tex]

Therefore, the value of the difference is [tex]14\dfrac{3}{10}[/tex].

Thank you if anyone help me

Answers

Answer

The answer is y= x-3

- - - - -

5

Explanation

Replace

f(x) with y.

y =5x+3

Swap x and y.

x =5y+3

Solve for y.

x - 3=5y

x-35=y

Which theorem proves that the triangles are congruent?
A. AAS
B. ASA
C. SAS
D. SSS

Answers

Answer:

D. SSS

Step-by-step explanation:

SSS (Side-Side-Side) is a proof of congruence where two triangles share three sides.

Answer:

SSS

Step-by-step explanation:

We are given that the triangle has all congruent sides therefore we can prove that the triangles are similar by the SSS theorem ( side - side - side )

PLZZZ HELPPPP!!!!!!!!!!!!!!

Answers

Answer:

$205.60

160(1.135)+ 160(.15)

Step-by-step explanation:

Connor's balcony is 5 feet wide and 9 feet long. Connor paid $3.00 per square foot to have the balcony stained. How much did he pay?

Answers

Answer:

135

Step-by-step explanation:

9*5=45*3=135

i) A farm employs 30 men working 40 hours a week. When some of the men are ill, the
rest have to work 50 hours a week to make up the lost time, how many men are ill?

Answers

Answer:

hi hi hi hi hi hi hi HI hi hi hi hi hi hi hi hi hi hi hi hi hi

Answer:

6 men are ill.

Step-by-step explanation:

the work of 30 men in 40 hours is the product

30×40

an unknown number of men (x) is sick, and now the remaining workers do the same work in 50 hours

(30-x)×50

so,

30×40 = (30-x)×50

1200 = 1500 - 50x

-300 = -50x

x = 6

Abox of twelve granola bars was $3.60. What was the unit cost per bar?

Answers

Answer:

cost of 12 bars = $3.60

cost of 1 bar = $3.60 ÷ 12

= $0.3

hope it helps

have a nice day

Answer:

$0.30

Step-by-step explanation:

12 granola bars = $3.60

1 granola bars = $3.60/12 = $0.30

Complete the equation of the line through

Answers

Answer:

this at all so yea

Step-by-step explanation:

hihkjfnkjerbfjbfr

help pls it’s due in 2 hours

Answers

Step-by-step explanation:

tan < BCA = x/y = 3/18= 0.1667

< BCA = arc tan 0.1667 = 9.464° => 9.46°

Two cyclists start at the same point and travel in opposite directions. One cyclist travels 4 mile per hour slower than the other. If the two cyclists are 56 miles apart after 2 hours, what is the rate of each cyclist.?

Answers

Answer:

12 mph and 16 mph

Step-by-step explanation:

distance = speed * time

56 = s * 2 + (s - 4) * 2

56 = 2s + 2s - 8

56 = 4s - 8

64 = 4s

16 = s

s = 16

s - 4 = 12

Let the speed of the faster bike = X

The slower bike would be x - 4 ( 4 mph slower)

Multiply each speed by time and add to equal total distance:

2x + 2(x-4) = 56

Simplify:

2x + 2x -8 = 56

4x -8 = 56

Add 8 to each side:

4x = 64

Divide both sides by 4:

x = 64/4

x = 16

The faster bike rode at 16 miles per hour

The slower bike traveled at 16-4 = 12 miles per hour

Which of the following graphs represents a function that has a positive
leading coefficient? Check all that apply.

Answers

Your answer is b and d

How might we know whether x is a positive number, negative number, or zero, without solving the equation?

Answers

We might know that because x = 0 so it’s gonna be 0=0 and that equals nothing so yeahhh

Find the value of x.
42°
(5x + 2)

Answers

The value of x is 8

This is because the two angles are alternate interior angles so they are equal to each other

This means that you can create the equation 5x+2=42

This can be simplified to 5x=40 and even further to x=8

Help is very much appreciated

Answers

Answer:

Options : B & D

Step-by-step explanation:

E(x) = 10x - 30 , where x is the number of doors she knocks

Given she has to pay her own expense.

So whatever she earns $30 is reduced from it ,for her expense.

Option A: She can earn $10 even if she does not knock

any doors - False

                 That is, x = 0

                 When x = 0 , E (x) = 10 ( 0 ) - 30 = - 30

                 => she loses $30.

Option B :Her expenses are $ 30 per week - True

                E(x) = 10x  - 30

                 Expenses are reduced from her earnings.

Option C: She will lose $10 per week if she does not knock

any doors - False.

                 Already checked on option A that if she does not knock

                 on any door, means x = 0 , then loses $30.

Option D : If she does not knock on any doors at all during

the week , she will lose $30 - True

Write 0.00467 in standard form

Answers

Answer:

[tex]\frac{0.00467}{100000}[/tex]

Step-by-step explanation:

Given :

0.00467

Now,

[tex]0.00467=\frac{0.00467}{100000}[/tex]

Standard form of given equation is :

[tex]\frac{0.00467}{100000}[/tex]

Volume=
A) 91 2/3 pie cubic units
B) 275 pie cubic units
C) 36 2/3 pie cubic units

Answers

the volume is 1/3 * height *area of the base (the circle) in cubic units

the area of the circle is pi*r²

wich gives us

1/3 * 11 * pi * 5²

rearrange

= 5² * 11 * 1/3 * pi

= 25*11*1/3*pi

= 275*1/3*pi

= 275/3 *pi

= (91 2/3)*pi

in cubic units

so your answer is the first option

Which of the following best describes a basic postulate of Euclidean geometry?

Answers

Answer:

D option

Step-by-step explanation:

Hope this helps

The table represents the function f(x).
What is f(3)?

Answers

Answer:

f(3) = 9

Step-by-step explanation:

In the given figure,

when x=3,

f(x)=9

substituting x=3 in f(x),

=> f(3)=9

set up an equation and solve for x! 25 points!

Answers

Answer:

7

Step-by-step explanation:

70+16x-2

68+16x=180

16x=180-112

x=112/16

x=7

Answer:

x = 7

Step-by-step explanation:

70 + 16x - 2 = 180 degree (being co interior angle)

68 + 16x = 180

16x = 180 - 68

16x = 112

x = 112/16

x = 7

micheal has $550 in his savings account he took out $30.75 every month for one year what is the net change in michaels account balance following these withdrawals

Answers

Answer:

$ 181

Step-by-step explanation:

He has total savings account= $550

If he took out every month = $ 30.75 ,

Total account he has took out in a year = $ 30.75 × 12

= $ 369

micheal has total balance = $ 550 - $369

= $ 181

Priyanti ate 150 raisins in five days. If she ate 7 more raisins each day than she did the previous day, how many raisins did she eat on
a. the third day?



b. the first day?

Answers

Answer:

this means she ate an average of 30 raisins each day

so she ate 30 on the third day

so the amount she ate each day is like this

1. 16

2. 23

3. 30

4. 37

5. 44

16 + 23 +30 +37 +44=150

Answer:

a. 30 b. 16

Step-by-step explanation:

n=number of days

a1= raisins she at on 1st day

d=increase per day

n(a1+an)/2

5(a1+a1+d(n-1))/2=150

5(2a1+4d)=300

d=7, 10a1+20(7)=300

a1+14=30

a1=16

a. a1+2d 16+14=30 b. 16

I need help please please!!!

Answers

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

solve the radical. x+4=sqrt x+10 what is the extraneous solution to the radical equation

Answers

Answer:

-6 is an extraneous solution.

Step-by-step explanation:

We can start by solving this problem.

First, to remove the square root, we can square both sides.

[tex](x+4)^{2} = x + 10\\x^2 + 8x + 16 = x + 10\\[/tex]

Next, we can subtract both sides by (x+10)

[tex]x^2 + 7x + 6 = 0\\[/tex]

Then, we can factor out the equation.

[tex](x+1)(x+6) = x^2 + 7x + 6 \\= 0[/tex]

Given this, it seems like -1 and -6 would be correct. Plugging this back into the original equation, though,

-1 + 4 = √(-1 + 10)

3 = 3

-6 + 4 = √(-6+10)

-2 ≠ 2

Therefore, -6 is an extraneous solution.

Need help! I will give brainless to person who helps

Answers

Answer:

1. X-intercept

Step-by-step explanation:

Answer:

quadranttwo

linear

Step-by-step explanation:

1 across

quadranttwo

14 across

linear

a radio cost 5400 discount of 121/2% what is the cash price​

Answers

Answer:

2133$

Step-by-step explanation:

5400-(5400$ *60.5/100)

determine the equation of the circle graphed below .

Answers

Answer:

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

Step-by-step explanation:

The center of the circle is at (-1,7) and the radius from the center to the edge is 2, so the equation should look like (x-h)^2 + (y-k)^2 = r^2

You would flip the signs of the center so that when you solve the equation it ends up in the correct place.

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