Solve the following using inverse matrix also indicate the inverse matrix A-1 that was used to solve the system
7X+8Y=3
4X+6Y=-2

The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]

magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.

The magnitude as regards Richter scale is

[㏒(I/I₀]

But we were given l as 10000I₀.

Then if we substitute we have, [㏒(10000I₀./I₀)]

If we simplify we have:

[㏒10000]

Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]

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12.57

Step-by-step explanation:

Area = πr²

40/360 × 22/7 × 36

1/9 × 22/7 × 36

(22 × 4)/7 = 12.57

Answer:

17.2

Step-by-step explanation:

23 ⇒ Below 5, round down

20  ⇒ Add to decimal

17. 23 ⇒ 17.2 / 17.20

The statements that can be used to compare the characteristics of the functions are:

From the table of values (see attachment), we have the following highlights:

The above highlights mean that, the true statements are b and d

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Answer:Its B,D

Step-by-step explanation: Yes

Answer:

x = 132

Step-by-step explanation:

x = 180 - 48

x = 132

The visitor data is best modeled by a quadratic function, and the state park management should plan for more than 400 visitors next year.

To do this, we simply plot the points on a graph.

See attachment for the graph that represents the table.

From the attached graph, we can see that the points on the graph follows an approximately quadratic path

Hence, the visitor data is best modeled by a quadratic function

Also, the state park management should plan for more than 400 visitors next year.

This is so because the range of a quadratic function is the set of all real numbers.

This means that the table can accept a value of 400 (or greater) as one of its data points

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Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

Solving :

(2 cos(θ))² = 2

4 cos²θ = 2

cos²θ = 1/√2

cosθ = [tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

because the distance from O to the other 3 points is the same. each bisector provides a line of points with equal distance to the 2 end points of its base line.

where these 2 bisectors intersect, is the point that has the same distance to all end points.

Step-by-step explanation:

mean =10

sum of no =7+5+0+1+3+4+h=20+h

N=7

now

mean=sum of no/N

10=20+h/7

10×7=20+h

70-20=h

h=50

Answer: [tex]\displaystyle (5.35, -5.35)[/tex]

Step-by-step explanation:

   We will use the midpoint formula. See attached or view below.

What does this formula do? We are, essentially, finding the average for the x-values and y-values.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]

[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]

[tex]\displaystyle (5.35, -5.35)[/tex]

Answer: Reflection, translation

Step-by-step explanation:

no lo sé, pero como necesito puntos, ¿sí?

Answer:

the answer is $31.80

Step-by-step explanation:

6% of $120.00 is $7.20,

75% off of 127.20= $31.80

Answer:

The two middle ones  

Step-by-step explanation:

Answer:

as x→+∞, f(x)→+∞   as x→-∞,f(x)→-∞

Step-by-step explanation:

Answer:

-256

Step-by-step explanation:

The numbers are being multiplied by 2.

( -4 * 2 = -8)

(-8* 2 = -16)

The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The measure of angles are given as,

To create a triangle with these angles, the sum should be equal to 180 degree of three angles.

90+100+30 > 180

90+90+30 > 180

90+90+100 > 180

100+100+30 > 180

30+100+30 < 180

30+90+30 < 180

There is no combination of angles, which is equal to the 180 degree.

Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

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⇒ Choose three values for [tex]x[/tex] and substitute in to find the corresponding [tex]y[/tex] values.

[tex](0,6),(1,11),(2,16)[/tex]

Answer: C.

Step-by-step explanation: In a linear function, both numbers rise or fall in a steady way. This means the answer would be c, where the x rises in increments of one, and y increases by multiplying by three each time.

Answer:

table 1

Step-by-step explanation:

a table represents a proportional relationship between the number of laptop and desktop computers ,if the ratio of the number of desktop computers to laptops is a constant (doesn’t vary)

Table1 : (does not represent a proportional relationship) because :

11÷10=1,1

46÷42=1.09...

and 1.1 ≠ 1.09

Table2 : (represents a proportional relationship) because :

3÷6=0.5

9÷18=0.5

18÷36=0.5

72÷144=0.5

Table3 : (represents a proportional relationship) because :

18÷12=1.5

36÷24=1.5

54÷36=1.5

108÷72=1.5

Table4 : (represents a proportional relationship) because :

2÷3=0.666666666667

18÷27=0.666666666667

22÷33=0.666666666667

200÷300=0.666666666667

The probability that the student scores a 70 or below is 0.0013

The given parameters are:

The probability that a student scores 70 or below is represented as:

P(x ≤ 70)

Calculate the z score for x = 70 using:

[tex]z =\frac{x - \mu}{\sigma}[/tex]

This gives

[tex]z =\frac{70 - 82}{4}[/tex]

Evaluate

z =-3

The probability becomes

P(x ≤ 70) = P(z ≤ -3)

Using the z tables of probabilities, we have:

P(x ≤ 70) = 0.0013499

Approximate

P(x ≤ 70) = 0.0013

Hence, the probability that the student scores a 70 or below is 0.0013

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Answer :

See below ~

Explanation :

Then the recursive formula is :

Answer:

Angle<8 corresponds with angle<3

Step-by-step explanation:

Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,

Angle 1 and Angle 6 are corresponding angles

Angle 3 and Angle 8 are corresponding angles

Angle 2 and Angle 5 are corresponding angles

Angle 4 and Angle 7 are corresponding angles

Answer:

5 minutes

Step-by-step explanation:

Answer:

Mean: 599, Median 60

Step-by-step explanation:

0,0,0,14,16,30,60,260,300,420,1500,2592,2595

add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.

Mean: 599

Sort them from smallest to greatest and the number directly in the middle is the median.

Median: 60

Answer:

Zero

Step-by-step explanation:

Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero

Answer:

48

Step-by-step explanation:

12*4=48

Step-by-step explanation:

we have a right-angled triangle :

the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.

then the ground distance (360 ft) and the height of the tower are the 2 legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse.

in our case

850² = 360² + height²

height² = 850² - 360² = 592,900

height = 770 ft

the tower is 770 ft tall.

Answer:

770 feet

Step-by-step explanation:

Given

Solving

The probability of picking a blue counter from the bag is 1 / 13.

The number of counters initially in the bag:

The number of counters now in the bag:

13/26

x = 13 - 5 = 8

Probability of picking a blue counter = number of blue counters / total number of counters

2/26 = 1 / 13

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