The angle lies in which quadrant?

If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function is "false" statement.

A matrix function can be defined in a variety of ways (or matrix-valued function). One manner is in which the function takes the shape of a matrix, rather than numbers, the matrix contains functions. A(t), for example, is a 2 x 2 matrix function.

Some key features regarding the matrix function are-

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The complete question is-

If a and b are matrix functions such that the matrices a(0) and b(0) are the same, then a and b are the same matrix function. (True/False)

Answer:

Slope = -14

Step-by-step explanation:

A slope of a linear function is found using the formula: \(\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\)

where \(x_{1}=7, y_{1}=280, x_{2}=11,\) and \(y_{2}= 224\).

Plugging them into the equation, you get:

\(\frac{224-280}{11-7} = -\frac{56}{4} = -14\)

Therefore, the slope of the line is -14.

Answer:

162

Step-by-step explanation:

54x3

Answer:

832/100

Step-by-step explanation:

its 832/100

Answer:

8 8/25

Step-by-step explanation:

We know how to make a percent a decimal so...

832·0.01=8.32

We also know how to convert decimels into fractions...

8 32/100

We then simplify,

8 16/50

and again...

\(8\frac{8}{25}\)8 8/25

Answer:

I don't know if you typed the question wrong, but coordinates are written as (x, y).

A (1, -3)

B (-3, 1)

C (-1, 3)

D (3, -1)

Hope I helped!

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Because ⅔ goes into 3 ⅓ 6 times.

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

Answer:

900 seconds I believe

Step-by-step explanation:

60*6= 360

9*60=540

540+360=900

The probability of a salesperson at Owl Realty selling 5 houses in a month is 0.05 or 5%.

The probability distribution provided gives the likelihood of a salesperson selling a specific number of houses (n) in a month. In this case, we are interested in finding the probability of a salesperson selling 5 houses in a month. From the given distribution, we can directly read the probability corresponding to n=5.

Unfortunately, it appears that the probability for selling 5 houses is missing in the information provided. However, we know that the total probability for all possible outcomes must equal 1. To find the missing probability, we can add up the probabilities for all other outcomes (0-4, 6-9) and then subtract that sum from 1.

0.05 (0 houses) + 0.10 (1 house) + 0.15 (2 houses) + 0.20 (3 houses) + 0.15 (4 houses) + 0.10 (6 houses) + 0.05 (7 houses) + 0.05 (8 houses) + 0.05 (9 houses) = 0.95

Now, subtract this sum from 1 to find the probability of selling 5 houses:

1 - 0.95 = 0.05

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700 ft-lbs of work is done in lifting the weight of the man.

Work, W= Fdcos∅

Where F is the force

d is displacement

and ∅ is the angle between them.

Since the direction of force is the same as the direction of displacement

so ∅ =0 thus cos∅ =cos0 =1

now, W=Fd

As we know force required to lift an object is equal to the weight of the object

F=100lb

Displacement = height of man+ height he needs to be lifted

Displacement = 6+1=7ft

Hence, W= 100x7

W=700 lbs-ft

Therefore, 700 ft-lbs of work is done in lifting the weight of the man 1ft above his head.

Work is the transferring of energy to or from an object via force along a fixed displacement.

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Answer:

Volume of rectangular prism = 175 / 6 inch³

Step-by-step explanation:

Given:

Base area of rectangular prism = 23 ¹/₃ inch² =  70 / 3 inch²

Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch

Find:

Volume of rectangular prism

Computation:

Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism

Volume of rectangular prism = [70 / 3] x [5 / 4]

Volume of rectangular prism = [350 / 12]

Volume of rectangular prism = 175 / 6 inch³

Answer:

QA) C = 31.4 cm, A = 78.5 cm^2

QB) 36 cm

Step-by-step explanation:

Question A

Circumference formula: 2πr

2π(5) = 31.4 cm

Area formula: πr^2

π(5)^2 = π(25) = 78.5 cm^2

Question B

If you extend the line of the shape to create a quadrilateral and a triangle, you can use the pythagorean theorem to figure out the last length.

9 - 6 = 3

10 - 6 = 4

The lengths of side a and b are 3 and 4, we need to find the length of the hypotenuse

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

5 = c

Now we can combine this number with the rest of the given lengths

10 + 9 + 6 + 6 + 5 = 36 cm

The bat colony will cover an area of 80,000 square miles in 1.612 hours.

A circle is the collection of all the points together in plane that are equally distant from the a given point known as the circle's center. A circle is represented by the symbol. A radius of a circle is a line segment that connects the center of a circle toward any point on the circle.

Now, as per the given question;

The area covered (A) by the colony, evaluated in square miles, is depicted by the mentioned geometrical formula as the bat colony emerges from a cave & spreads out in a circular pattern:

A = π R²

R = the bat's distance from the cave, calculated in miles.

Furthermore, each bat moves at a constant speed, and distance is depicted by the following kinematic formula:

R = r₀ + rΔt

r₀ = The bat's initial distance from the cave, estimated in miles.

r = Bat speed, estimated in miles per hour.

Δt = Time, expressed in hours.

Substitute the value of R in the formula of area.

A = π (r₀ + rΔt)²

(r₀ + rΔt)² = A/ π

(r₀ + rΔt) = √(A/ π)

rΔt = √(A/ π) - r₀

Δt = (√(A/ π) - r₀)/r

r =  99 miles per hour

The distance between the bat and the cave has now been substituted, and time has been cleared:

A = area of 80,000 square miles

π = 3.14

r₀ = 0 miles per hour

Substituting all the values in the A we calculate the time.

Δt = (√( 80,000/3.14) - 0)/99

On solving;

Δt = 1.612 (approx)

Thus, It will take 1.612 hours for the bat colony to cover an area of 80,000 square miles.

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The complete question is-

The Brazilian free-tailed bat can travel 99 miles per hour. after sunset, a colony of bats emerges from a cave and spreads out in a circular pattern. how long before these bats cover an area of 80,000 square miles? use pi = 3.14.

Answer: 3.162

Step-by-step explanation:

Answer:

√10 should be ~3.16

The 26th digit of N, counting from left to right, is in the range of 13-14, while the 45th digit is in the range of 21-22. Therefore, Quantity B is greater than Quantity A, option B

To determine the 26th digit of N, we need to find the integer that contains this digit. We know that the first integer, 11, has two digits. The next integer, 12, also has two digits. We continue this pattern until we reach the 13th integer, which has three digits. Therefore, the 26th digit falls within the 13th integer, which is either 13 or 14.

To find the 45th digit of N, we need to identify the integer that contains this digit. Following the same pattern, we determine that the 45th digit falls within the 22nd integer, which is either 21 or 22.

Comparing the two quantities, Quantity A represents the 26th digit, which can be either 13 or 14. Quantity B represents the 45th digit, which can be either 21 or 22. Since 21 and 22 are greater than 13 and 14, respectively, we can conclude that Quantity B is greater than Quantity A. Therefore, the answer is (B) Quantity B is greater.

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The simplified expression is  \(\frac{1-4i\sqrt3}{7}\).

What is simplification?

Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do. For example, take this expression: 4 + 6 + 5.

Here the given expression is

=> \(\frac{2-i\sqrt3}{2+i\sqrt3}\)

Multiply and divide by \(2-i\sqrt3\) then

=> \(\frac{2-i\sqrt3}{2+i\sqrt3}\times\frac{2-i\sqrt3}{2-i\sqrt3}\)

=> \(\frac{(2-i\sqrt3)^2}{2^2-(i\sqrt3)^2}\)

=> \(\frac{4+i^2\sqrt3^2-4i\sqrt3}{4-i^2\sqrt3^2}\)

=> \(\frac{4-3-4i\sqrt3}{4+3}\)

=> \(\frac{1-4i\sqrt3}{7}\)

Hence the simplified expression is  \(\frac{1-4i\sqrt3}{7}\).

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Using a unifying unit for comparison, the line segment B is longer than line segment A

The use of a unit depends on the context. For instance, the area of a room is measured in meters, yet a pencil's length and thickness are measured in centimeters and millimeters, respectively.

In the given problem, we have to convert both units to the same units in order to have a unifying unit of comparison.

To do this, we will simply convert the inches to m.

6.3 inches = 0.16m

This shows that line segment A is 0.16m and line segment B is 2m.

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Answer:

-5

Step-by-step explanation:

since it is a lose, it is represented by a negative sign.

There are 96 ways for four people to sit in six chairs so that the leftmost chair is occupied and the rightmost is empty.

There are 4 guests and the leftmost seat is to be occupied, so there are 4  such ways to choose the occupant of that seat.

Then, for each of those 4 ways, there are 4 ways to decide the occupant for the second seat -- the remaining three people plus the possibility of that seat being empty, that makes a total of 16 ways to decide the configuration of the first two seats.

Then, for each of those 16 ways, there are 3 ways to choose the occupant for the third seat (either 3 remaining guests if the second seat was left empty, or the two remaining guests plus the possibility of leaving the 3rd seat empty). Hence, 16 times 3 is 48. For each of those ways, there are two choices for the next seat, i.e. 48 times 2 = 96, and finally one choice for the fifth seat. So in all, there are 96 ways.

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Answer:

2x^4+4x^2+2

Step-by-step explanation:

f(x) = x^2+1

g(x) = 2x^2

g(f(x))=

Replace x in the function g(x) with the function f(x)

         =2( x^2+1)^2

         = 2( x^2 +2x^2 +1)

         = 2x^4+4x^2+2

Answer:

it would take 20 miles and cost 10 dollars.

Step-by-step explanation: Like up the equations so that 50x=40x+200. When you solve for x (number of miles) you find that x=20. Use 20 in either equation (0.5x or 0.4x+2) to get 10 (total cost).

Solution for P=100a/t equation:

x in (-oo:+oo)

P = (100*a)/t // - (100*a)/t

P-((100*a)/t) = 0

P-100*a*t^-1 = 0

P-100*a*t^-1 = 0

x należy do R

x in (-oo:+oo)

Answer:

\(\frac{Pt}{100} = a\)

Step-by-step explanation:

Step 1 - Get rid of the fraction by multiplying both sides of the equation by t:

\(P(t) = \frac{100a}{t} (t)\\ Pt = 100a\)

Step 2 - Now to get a without the 100, we can just divide the whole equation by 100:

\(\frac{Pt}{100} = \frac{100a}{100}\)

Which simplifies to:

\(\frac{Pt}{100} = a\)

Hope this helps!

magnetic field at (i) is B = (μ₀/4π) * (I * (0, 0, dz) x (1, 2, 5)) / r³ (ii)B = (μ₀/4π) * (I * (0, 0, dz) x (2, 7/3, 10)) / r³ (iii)B = (μ₀/4π) * (I * (0, 0, dz) x (10, π/3, π/2)) / r³.

To find the magnetic field at different points in space due to a wire aligned with the z-axis, we can use the Biot-Savart Law.

Given that the wire is aligned with the z-axis and symmetrically placed at the origin, we can assume that the current is flowing in the positive z-direction.

(i) At point (1, 2, 5):

To find the magnetic field at this point, we can use the formula:

B = (μ₀/4π) * (I * dl x r) / r³

Since the wire is aligned with the z-axis, the current direction is also in the positive z-direction.

Therefore, dl (infinitesimal length element) will have components (0, 0, dz) and r (position vector) will be (1, 2, 5).

Substituting the values into the formula, we get:

B = (μ₀/4π) * (I * (0, 0, dz) x (1, 2, 5)) / r³

(ii) At point (2, 7/3, 10):

Similarly, using the same formula, we substitute the position vector r as (2, 7/3, 10):

B = (μ₀/4π) * (I * (0, 0, dz) x (2, 7/3, 10)) / r³

(iii) At point (10, π/3, π/2):

Again, using the same formula, we substitute the position vector r as (10, π/3, π/2):

B = (μ₀/4π) * (I * (0, 0, dz) x (10, π/3, π/2)) / r³

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Answer:

D

Step-by-step explanation:

Answer:

i think it's 5/4

Step-by-step explanation:

Answer:

$61.80

Step-by-step explanation:

The face of the house has a length of 30 feet and a width of 24 feet.

We have to find find the area of that face of the house:

A = L * B

A = 30 * 24 = 720 square feet

He will use one coat of paint for the side of the house.

We need to find the number of gallons he will need.

Each gallon of paint will cover 350 square feet.

The number of gallons he will need is:

720 / 350 = 2.06 gallons

Each can holds one gallon and costs $30.

The minimum amount he will need to spend is therefore:

2.06 * 30 = $61.80

Answer:For random variable X~N(3,0.75), what is the probability that X takes on a value within two standard deviations on either side of the mean?

Step-by-step explanation: