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Rufina [12.5K]
2 years ago
15

Which matrix is matrix B?

Mathematics
1 answer:
juin [17]2 years ago
8 0

Answer:

C

Step-by-step explanation:

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A turtle and a rabbit engage in a footrace over a distance of 4.00 km. The rabbit runs 0.500 km and then stops for a 90.0-min na
Oxana [17]

Answer:

(a) 2.29 km/h

(b) 9 km/h

Step-by-step explanation:

For part (a) you have to apply<em> the average speed formula</em>, which is defined by:

v=\frac{d}{t}

where d is the total distance traveled and t is the total time needed.

d=\frac{4.00}{1.75}=2.29 km/h

For part (b) you have to calculate the running time (T) , which is the total time of the race minus the nap time:

The nap time in hours is:

90/60 = 1.5 h (because there are 60 minutes in one hour)

The running time is:

T= 1.75 - 1.5 = 0.25 h

Let t1 represent the time before the nap and t2 the time after the nap:

t1+t2 = T

t1+t2 = 0.25

You have to apply the formula d=vt before and after the nap:

-Before the nap, the distance traveled was 0.50 km

0.50 = v1t1

-Afer the nap, the distance traveled was 3.50 km

3.50=v2t2

But v2=2v1 (because after the nap the rabbit runs twice as fast)

You have to solve the system of equations:

t1=0.25-t2 (I)

v1t1=0.50 (II)

2v1t2=3.50 (III)

Replacing (I) in (II)

v1(0.25-t2)=0.50

Applying distributive property and solving:

0.25v1-v1t2=.050

For (III) you have that v1t2=3.50/2=1.75. Hence:

0.25v1-1.75=0.50

Solving for v1:

v1 = 9 km/h

7 0
3 years ago
A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, gi
defon

Answer:

An ordered pair is a set of inputs and outputs and represents a relationship between the two values. A relation is a set of inputs and outputs, and a function is a relation with one output for each input.

h

here is a exstended explantion:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to.

For example, consider the following sets X and Y. I'll give you a relation between them that is not a function, and one that is.

   X = { 1, 2, 3 }

   Y = { a , b , c, d }

   Relation from X to Y (i.e., in XxY ) : { (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c. (Note, if you transpose the ordered pairs you <i>would</i> have a function from Y to X - can you see WHY?)

   Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) }

This is a function since each element from X is related to only one element in Y. Note that it is okay for two different elements in X to be related to the same element in Y. It's still a function, it's just not a one-to-one function.

8 0
3 years ago
What is the diameter of the following circle (x+4)^2 + (y-9)^2 = 18
Elena L [17]
Radius = sqrt(18) = 3*sqrt(2)

diameter = 2(3sqrt(2)) = 6sqrt(2)
3 0
3 years ago
It is in the attachment.
Setler79 [48]

Answer:

you would have to pay $43.20

Step-by-step explanation:

15+32.50=47.50

47.50x.08=3.80

47-3.80=43.20

3 0
3 years ago
Roy and Sam start solving the equation as follows.
denpristay [2]

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

-3x+4=5x-6

According to the addition property of equality a=b and a+c=b+c are equivalent equations.

Use addition property of equality, add 3x on both the sides.

-3x+4+3x=5x-6+3x

4=8x-6

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality a=b and a-c=b-c are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

-3x+4-5x=5x-6-5x

-8x+4=-6

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

7 0
3 years ago
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