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Trava [24]
3 years ago
11

Which expression has a value that is less than the base of that experience?

Mathematics
1 answer:
Rom4ik [11]3 years ago
6 0

Answer:

(B) (\frac{5}{6})^{2}

Step-by-step explanation:

(A) The given expression is: 2^{3}

=8

The value of this expression is 8 which is greater than the base of the expression that is 2.

(B) The given expression is: (\frac{5}{6})^{2}

=\frac{25}{36}

=0.09

The value of this expression is 0.09 which is smaller than the base of the given expression that is 0.83.

(C) The given expression is: 3^{2}

=9

The value of this expression is 9 which is greater than the base of the given expression that is 3.

(D) The given expression is: 4^{4}

=256

The value of this expression is 256 which is greater than the base of the given expression that is 4.

Hence, Option B is correct.

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Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additio
Dafna1 [17]

The question is missing some important details required to answer the question. I found a similar question, so I will answer using this details. If there is any differences in the details, you can still use my working by changing the value given:

Abdul will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $38 and costs an idditional $0.11 per mile driven. The second plan has an initial fee of $49 and costs an additional $0.07 per mile driven.

How many miles would Abdul need to drive for the two plans to cost the same?

Answer:

275 miles

Step-by-step explanation:

Let the distance travel be X

First plan:

Initial fee: 38

Per mile: 0.11

So the total cost is

C1 = 38 + 0.11X

Second plan:

Initial fee: 49

Per mile:0.07

So the total cost is

C2 = 49 + 0.07X

Since the question asked about when the total cost be the same, we can say that C1 = C2

C1 = C2

38 + 0.11X = 49 + 0.07X

0.11X - 0.07X = 49 - 38

0.04X = 11

X = 11/0.04 = 275

At 275 miles, the cost will be the same.

6 0
4 years ago
You have 9 chairs arranged in a circle, and wish to seat 9 people (one person per seat). The one constraint is that person A can
stiv31 [10]

Answer:

30240 number of ways are there to seat them

Step-by-step explanation:

Total number of ways of arranging 9 people on 9 chairs  in circular manners = (9-1)! = 8! =

number of ways A sit always sit next to B = AB together makes a single and

                                                                       therefore total number of arrangements for this  = 7+(AB) = 8  that is 8  persons sitting in circular manner

number of ways = (8-1)! =7! = 5040

likewise number of arrangements for A and C will be = 5040

Total number of ways such that A cannot sit next to B or C = total ways of 9 persons - total number of A always sitting next to B - total number of ways always sitting next to C  = 8! - 7!-7!

                                        = 40320- 5040-5040

                                        = 30240

=  

5 0
3 years ago
Sunni’s bedroom has the dimensions of 11 ft by 10 ft by 10 ft. Her den has the same height but double the volume. Give two sets
otez555 [7]

The volume of the bedroom is  11 x 10 x 10 = 1100 cubic feet.

The volume of the den is double, so 1100 x 2 = 2200 cubic feet.

Divide the volume of the den by the height, since it is the same as the bedroom, this will give you the area:

2200 / 10 = 220 square feet.

Two sets of numbers that could equal 220 are 22 x 10 or 22 x 11

The room can be 20 ft by 10 ft or 22 ft by 11 ft and the volume is 2200 cubic feet.

5 0
4 years ago
Read 2 more answers
Three vectors A, B, C in three-dimensional space satisfy the following properties
wlad13 [49]

Answer:

\frac{7}{8}\pi

Step-by-step explanation:

observe

||a–b+c|| = ||a+b+c||

(a-b+c)² = (a+b+c)²

(a+b+c)² – (a-b+c)² = 0

((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0

(2a+2c)(2b) = 0

(a+c)b = 0

a•b + c•b = 0

||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0

\cos(\theta)=-\frac{||a||\times ||b|| \times \cos(\frac{\pi}{8})}{||c||\times ||b||}=-\cos(\frac{\pi}{8})\\ \theta=\frac{7}{8}\pi

3 0
4 years ago
Simplify the numerical expression.
laiz [17]

Answer:

Step-by-step explanation:

13-2x 5

13-5= 8

2x 8

5 0
3 years ago
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