Which is bigger? 92^7 or 3^81? Hint: can you write 9^27 as an exponential expression with a base of 3?​

Answers

Answer 1

Answer:

[tex] {3}^{81}[/tex] is bigger.

Step-by-step explanation:

[tex] {9}^{27} = ( {3}^{2} )^{27} = {3}^{2 \times 27} = {3}^{54} \\ [/tex]

If we compare the exponents of [tex] {3}^{54}[/tex] and [tex] {3}^{81}[/tex] it can be concluded that:

[tex] {3}^{81}[/tex] > [tex] {3}^{54}[/tex]


Related Questions

The question: " match each drawing with a triangle congruence postulate that can be used to prove the triangles are congruent, if any."



Possible answers


Side angle side (SAS)

Angel side angle (ASA)

Hypotenuse leg (HL)

Not possible

Answers

Answer:

1 : Hypotenuse leg (HL)

2: Angle side angle (ASA)

3: Side angle side (SAS)

Step-by-step explanation:

Given

See attachment for triangles

Required

Determine the congruence postulate

Figure (1):

From the attachment;

[tex]AC = BD[/tex] --- The hypotenuse

[tex]CB = CB[/tex] --- One other leg

Since the hypotenuse and one other leg of both triangles are congruent, then the postulate is: HL

Figure (2):

From the attachment, we have:

[tex]150^\circ = 150^\circ[/tex] --- Angle

[tex]15^\circ = 15^\circ[/tex] ---- Angle

The horizontal line that divides both triangles show that they have a congruent side.

Hence, the postulate is: ASA

Figure (3):

From the attachment, we have:

A pair of single marks (Side)

A pair of double marks (Side)

A pair of equal angles

Hence, the postulate is: SAS

Tom read 20 books, 12 magazines, and 18 newspaper articles last year.
Based on this data, what percentage of the material that Tom read is a magazine?

Answers

Answer:

Step-by-step explanation:

20 dude hahah

Classify the angle pair using all names that apply

Answers

Answer:

Vertical and supplementary

Step-by-step explanation:

Angles 1 and 2 are Vertically opposite angles and therefore they are equal to each other.

count the numbers of triangles in the figures​

Answers

Answer:

A

Step-by-step explanation:

look it carefully.

Find the value of x. Round to the
nearest tenth.
26
12
X
X =
Enter

Answers

Answer:

322. So this is correct or wrong

Tangent26=opposite/ adjacent
Tan26=x/12
x=tan26*12

2) What is the area of the figure?

Answers

Answer:

9+7+4+5= 25

Step-by-step explanation:

add up everything then get ur answer

Jennifer made a baby blanket that is 2 feet by 3 feet. She has a queen size blanket that is 6 feet by 9 feet. How does the area of the baby's blank t compare to the size of the queen sized blanket?

Answers

The area of the baby blanket is 6 feet. The area of the queen size is 54 feet.
The area of the baby blanket is 9x smaller.

The area of the queen sized blanket is 9 times bigger than the area baby blanket.

What is the area of a rectangle?

The area of a rectangle is the multiplication of it's length and breadth.

Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.

The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.

Therefore, the ratio of the baby blanket : queen sized blanket

= 6 : 54

= 1 : 9

Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.

Lear more about the area of the rectangle here: https://brainly.com/question/24408520

#Tag #SPJ2

Solve and check. All steps must be shown.
5x + 15 = 75 - 25x

Answers

Answer:

X = 3

Step-by-step explanation:

Answer:

= 2

Step-by-step explanation:5x+15=75-25x

We move all terms to the left:

5x+15-(75-25x)=0

We add all the numbers together, and all the variables

5x-(-25x+75)+15=0

We get rid of parentheses

5x+25x-75+15=0

We add all the numbers together, and all the variables

30x-60=0

We move all terms containing x to the left, all other terms to the right

30x=60

x=60/30

x=2

Pls someone help me with this question pls

Answers

Answer:

C. The number is a perfect square because (17) × (17) = 289

How many pairs of opposite sides are parallel

Answers

One pair is parallel
1 of the sides are parallel

Tara has 4 and 4 over 5 feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
I already got part a correct but I need help with part b, I don't understand it cause I'm d u m b pls help

Answers

9514 1404 393

Answer:

  A) 12 pieces

  B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope

Step-by-step explanation:

A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12

  Tara can cut 12 pieces from the rope.

__

B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"

It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.

_____

Comment on the question

This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.

What is the value of the expression 13/4 (8)? *

Answers

Answer: 26

(13/4) (8/1) =(13) (8)/ (4) (1) = 104/4 = 26

Step-by-step explanation:

I think the answer is 26 have a nice day!

Does anyone know what the answer please???

Answers

Answer: 8

As you can see, ABCD is similar to FECG which means its just a bigger or smaller version of the other. The sides change by a specific amount like times 2 or divided by 2

In this case abcd is 2x bigger thab fecg. You can see this by the side BC being 10 and it is the same side on the other shape being 5 so you know FECG is just ABCD x 1/2

Because of this since we know what FG is (4) on FECG we know y is 2x that side so it is 8.

1. Identify the a, b, and c in the function:
f(x) = 3x² – 9x +4
A=
B=
C=

Answers

Answer:

A=3

B=-9

C=4

Hope this helps ^^

please someone help me with this ASAP with the workout!!

Answers

The answer is 18 cm
Half of 72 is 36
Since YZ is 30, you would subtract 30 from 36 in order to get XY, so you would get 6 for XY
Half of circle W is 24, since it says the diameter of it is 48
So you would subtract XY from half of the diameter of W in order to get WX
It would look like this:
24-6=18

Answer:

18cm

Step-by-step explanation:

A map of the world has an area of 40 square feet its perimeter is 26 feet. What are the dimensions of the map?

Answers

Answer:  80 + 2L*L = 26*L

Step-by-step explanation:

How many times greater is the value of 7 in 271,461 than the value of 7 in 927,645?​

Answers

Answer:

3.42 times.

Step-by-step explanation:

We can simply see how many times greater the numbers are from one another.

927,645/271,461 = 3.41723120448 about 3.42 times.

i need help with this math question

Answers

Answer:

it is S

Step-by-step explanation:

because it is being reflected on the X-axis

Answer:

point R

Step-by-step explanation:

If you move point R across the x-axis, and then up the y-axis, you meet point Q

compare the following pairs of numbers. in each pair,state which is greater​

Answers

a. 759

b. 8769

c. 96699

d. 36754209

The trick is looking at the first numbers for either possible answer. Pick the one that is the greatest going backward. If you're stuck with the same numbers as in d, just continue going back until you see something like the 7 being greater than the 5.

Chris ran 3 miles in 15 minutes and continues to run at this rate for 1 hour. Amy ran 4 miles in
30 minutes and continues to run at this rate for 1 hour. Fill in the blank to complete the
sentence.
Amy will run _____ miles in 1 hour.
A. 7.5
B. 8
C. 4
D. 10
E. Not listed

Answers

Answer:

B) 8 miles

Step-by-step explanation:

30 mins is half an hour. And she ran 4 miles if you multiply both then you get 8 miles in 1 hour.

The height of a triangle is 7 inches greater than the base. The area of the triangle is 225 square inches. Find the length of the base and the height of the triangle.

Answers

Answer:

Height is 25in

Base is 18in

Step-by-step explanation:

225=[x*(x+7)]/2=[x^2+7x]/2

450=x^2+7x

x^2+7x-450=0

(x+25)(x-18)=0

6. Alice is covering a foam cube with fabric to make a footstool. Each side of the cube is 20 inches. How
many square inches of fabric will she need?
120 in? of fabric
0 720 in.of fabric
1,200 in? of fabric
2,400 in 2 of fabric

Answers

You're looking for total surface area: area of each side is 20 times 20=400 square inches. There are 6 sides on a cube: 400 square inches times 6 = 2400 square inches

Examine the diagram, where quadrilateral HIJK is inscribed in OC.
H
RD
K
112
1
J
© 2016 StrongMind. Created using GeoGebra.
If mZIJK = 112°, what is mZIHK?

Answers

Answer:

m<IHK = 68°

Step-by-step explanation:

In an inscribed quadrilateral, opposite angels are supplementary. This means that the sum of the opposite angles in am inscribed quadrilateral equals 180°. One is the supplement of the other.

Therefore,

m<IHK = 180 - m<IJK

m<IHK = 180° - 112°

m<IHK = 68°

Find the distance between the points (3,7) and (3,2)

Answers

Answer:

5 units.

Step-by-step explanation:

Since the distance is straight up.

You have two options:

Graph those two points and count the spaces separating them

or

Since they have the same x, you would only need to subtract 7-2.

Burger town sells cheeseburger for $7.95 each plus an additional $1.00 for each topping, Which of the following equations vest represents the cost, c , of a cheeseburger?​

Answers

Answer:

No equations given but the answer is c=1x+7.96

Step-by-step explanation:

PLEASE HELP ITS DUE TODAY FOR A GRADE!!!!

Answers

Answer:

11

Step-by-step explanation:

Find the length of the hypotenuse of the right triangle with sides 9 and 6

[tex]a^{2} +b^{2} =c^{2} \\9^{2} +6^{2} =c^{2} \\81+31=c^{2} \\\sqrt{117} =c[/tex]

Use c and the height 2 to find the hypotenuse of the triangle with the dotted line

[tex]\sqrt{117} ^{2} +2^{2} =c^{2} \\117+4=c^{2} \\221=c^{2} \\11=c[/tex]

the dotted line is 11

Your weekly allowance is $15. You spent 30% How much did you spend?

Answers

Answer:

You would have spent $4.50

Step-by-step explanation: Divide 100 by 30 and multiply to 15. So it will look like: 30/100*15= $4.50. I hope this helps

please help me asap!​

Answers

Answer:

1. AC=EC=120 ft

2. Given as perpendicular

3. BC=CD

4. Perpendicular means 90° from the bridge

5. Area of Triangle same

Airlines monitor the causes of flights arriving late. A total of 75% of flights are late because of weather, while 35% of flights are late because of ground operations. A full 10% of flights are late because of weather and ground operations. What is the joint probability that a flight arrives late because of weather and ground operations

Answers

Answer:

36% is the  joint probability that a flight arrives late because of weather and ground operations

Step-by-step explanation:

Given

% of flight late because of weather = 0.75

% of flight late because of ground operation = 0.35

% of flight late because of both weather and ground operation = 0.10

The probability of joint probability that a flight arrives late because of weather and ground operations is equal to

p (A and B) + {P(A) * P(B)}

0.10 + (0.75 * 0.35)

0.36

or 36%

Answer:36%

Step-by-step explanation:0.10 + (0.75 * 0.35)=0.36 then turn it to a percent which is 36%.

a2+9a+18

Can someone factor this for me

Answers

Answer:

(a+3)(a+6)

Step-by-step explanation:

a(a+6)+3(a+6)

(a+3)(a+6)

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