someone help me multiple choice!!!
questions 1-5!!!

Out of the sixteen 2 by 2 matrices with entries of 1s and 0s, there are six invertible matrices.

A 2 by 2 matrix with entries of 1s and 0s can be written as:

| a b |

| c d |

For a matrix to be invertible, its determinant must be non-zero. The determinant of a 2 by 2 matrix is given by ad - bc. In this case, since the entries are either 1 or 0, the determinant can only take values of 0 or 1.

To find the number of invertible matrices, we need to count the number of matrices with a non-zero determinant. There are four possible values for the determinant: 0, 1, -1, and 2. However, since the entries are restricted to 1s and 0s, the only possible determinants are 0 and 1.

If the determinant is 0, then the matrix is not invertible. There are only two possible matrices with a determinant of 0: the zero matrix and a matrix with all entries being 1. These two matrices are not invertible.

If the determinant is 1, then the matrix is invertible. There are four possible matrices with a determinant of 1:

| 1 0 |   | 1 1 |

| 0 1 |   | 1 0 |

| 1 1 |   | 1 0 |

| 0 0 |   | 1 1 |

Therefore, out of the sixteen possible 2 by 2 matrices with entries of 1s and 0s, there are six invertible matrices.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

43.35

Step-by-step explanation:

I got that but its not there

Answer:

Since g(x) = 1/4f(x), we have that g(x) is a horizontal stretch of f(x) by a factor of 4. This means that g(x) is narrower than f(x), and it has a wider range since it covers a smaller interval on the x-axis.

The value of k in this case is 0, since both f(0) and g(0) are equal to 0.

Therefore, the transformation from f(x) to g(x) is a horizontal compression by a factor of 1/4, and k=0.

Step-by-step explanation:

Answer:

g(x) = f(4x)

Step-by-step explanation:

It worked for my test.

Answer:

-3/2

Step-by-step explanation:

To solve for x in the equation -|x+1| + |x| = 1, we need to consider different cases based on the possible values of x. Recall that the absolute value of a number is always non-negative.

Case 1: x ≥ -1

If x is greater than or equal to -1, then |x+1| = x+1 and |x| = x. Substituting into the equation, we get:

-(x+1) + x = 1

Simplifying and solving for x, we get:

-1 = 1

This equation has no solution, so there are no values of x in this case that satisfy the original equation.

Case 2: x < -1

If x is less than -1, then |x+1| = -(x+1) and |x| = -x. Substituting into the equation, we get:

-(-(x+1)) - x = 1

Simplifying and solving for x, we get:

x = -3/2

Therefore, the only solution to the equation -|x+1| + |x| = 1 is x = -3/2.

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

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Answer:

18.00 cm

Step-by-step explanation:

This composite heart shape consists of two semi-circles and a rectangle.

\(r_{ssc}\) = radius of small semi-circle

     = \(\frac{3 cm}{2}\) = 1.5 cm

\(r_{bsc}\) = radius of big semi-circle

     = \(\frac{4 cm}{2}\) = 2 cm

Perimeter of this composite shape

= Perimeter of big semi-circle + Perimeter of small semi-circle + 2 outer sides of the rectangle

= \((\frac{2}{2} \pi r_{bsc} + \frac{2}{2} \pi r_{ssc} + 3 + 4)\) cm

= \((\pi r_{bsc} + \pi r_{ssc} + 3 + 4)\) cm

= \([\pi (2) + \pi (1.5) + 3 + 4]\) cm

= \((2\pi + 1.5\pi + 7)\) cm

= \((3.5\pi + 7)\) cm

= 17.995 cm

= 18.00 cm (Rounded to two decimal places)

Answer:

  42, 38, 34, 30

Step-by-step explanation:

You want the first 4 terms of the sequence described by ...

  an = 42 -4(n -1), n ∈ ℕ

You can write the first 4 terms of the sequence by evaluating the 'an' expression for n = 1, 2, 3, 4.

Or, you can recognize the expression describes a sequence with a first term of 42 and a common difference of -4. That is, each term is 4 less than the one before.

The terms you want are ...

  42, 38, 34, 30

__

Additional comment

The equation for the n-th term of an arithmetic sequence is ...

  an = a1 +d(n -1)

where a1 is the first term, and d is the common difference. Comparing this to the given equation, we see a1 = 42, d = -4.

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Answer:

distance covered in 10 round = 10*4*75 = 3000cm

Step-by-step explanation:

mark me as brainliest ❤️

Answer:

Distance = speed x time.

Step-by-step explanation:

Hope I helped

\(2 - 3csc(x) > 8 \\ 2 - \frac{3}{sin(x)} > 8 \\ - 6 > \frac{3}{sin(x)} \\ - 2 > \frac{1}{sin(x)} \\ \frac{ - 1}{2} < sin(x) \: \: or \: \: \: sin(x) > \frac{ - 1}{2} \\ \\ \)

\(sin( \frac{ - \pi}{6} ) = \frac{ - 1}{2} \)

\(x \: in \: \: [0, \frac{7\pi}{6}[U] \frac{11 \pi }{6} ,2\pi] + 2k\pi\)

Answer:

D. pi<x<7pi/6 and 11pi/6<x<2

Step-by-step explanation:

Took the test and this is the correct answer

The simplified product of the ^3sqrt2x^5 x ^3sqrt64x^9 is \(24\sqrt{2} x^{17}\)

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 finding the simplified product we will first remove the squareroot possible and simplify the value in a simplest way as possible. In the given question, first we will simplifying \(\sqrt{64}\) and after simplifying it we will then apply \(a^{n} . a^{m} = a^{n+m}\), and lastly we will multiply the two numbers i.e., 3 and 8.

\(3\sqrt{2}x^5x^3\sqrt{64}x^9\)

\(3\sqrt{2}x^5x^3\sqrt{8^{2} }x^9\)

\(3.8\sqrt{2}x^{5+3+9}\)

\(3.8\sqrt{2}x^{17}\)

\(24\sqrt{2}x^{17}\)

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Answer:  39

Step-by-step explanation:   9 = ? - 30, add 30 on both sides you get 39=?

Step-by-step explanation:

We use the formula for the area of the sector of a circle.

The formula for the area of the sector of a circle with radius 'r' and angle θ = (θ/360°) × πr2

Given, θ = 60°, Radius = 6 cm

Area of the sector = (θ/360°) × πr2

= 60°/360° × 22/7 × 6 × 6

= 132/7 cm2

Answer:

Step-by-step explanation:

To find the perimeter of the sector, we need to add the lengths of its arc and the two radii that form the sector.

The length of the arc can be found using the formula:

arc length = (angle/360) x 2πr

where the angle is the angle of the sector in degrees, r is the radius, and π is a mathematical constant approximately equal to 3.14.

In this case, the angle of the sector is 70° and the radius is 6m. So, the arc length is:

arc length = (70/360) x 2π x 6

arc length = (7/36) x 12.56

arc length = 1.94m (rounded to two decimal places)

The perimeter of the sector is then:

perimeter = arc length + 2r

perimeter = 1.94 + 2(6)

perimeter = 13.94m (rounded to two decimal places)

Therefore, the perimeter of the sector is 13.94 meters.

Answer:

(-2,-1) i am pretty sure this is the answer because the 1/3 gives a big hint

Mean of random variable Y = -5/4

Variance of random variable Y = 144

Given,

Density function in x .

Random variable Y .

Here,

Tο find the mean and variance οf the randοm variable Y,  the fοrmulas fοr the expected value and variance οf a functiοn οf a randοm variable:

The expected value (mean) of Y is given by:

E(Y) = E(3X - 2) = 3E(X) - 2

The variance of Y is given by:

Var(Y) = Var(3X - 2) = 9Var(X)

To find E(X), we need to integrate the density function f(x) over all possible values of X:

E(X) = ∫ x f(x) dx

Limit varies from 0 to ∞ .

= ∫ x (1/4)dx

This integral can be solved using integration by parts, with u = x and dv/dx = (1/4) dx.

Integrating by parts, we get:

E(X) = [-x/4 ] + ∫ (1/4) dx

= [0 + (1/4)]/1 + [0]

= 1/4.

Therefore, the expected value of Y is:

E(Y) = 3E(X) - 2 = 3(1/4) - 2 = -5/4.

To find Var(X), we can use the formula for the variance of an exponential distribution, which is:

Var(X) = (1/λ²) = (4²) = 16.

Therefore, the variance of Y is:

Var(Y) = 9Var(X) = 9(16)

= 144.

Therefore, the mean of Y is -5/4 and the variance of Y is 144.

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Complete question :

The length of time, in minutes, for an airplane to obtain clearance for takeoff at a certain airport is a random variable Y=3X−2, where X has the density function f(x) = ¼ \(e^{-x/4}\), for x > 0, f(x) = 0, elsewhere. Find the mean and variance of the random variable Y.

Answer

9

Step-by-step explanation:

Think of the difference as adding, 6+3=9.

Its a little confusing to understand at first.

The correct option is a) $5161.24

To evaluate the expression P(1+rt) with the given values:

P = 1575

r = 0.055

t = 168/365

First, let's calculate rt:

rt = 0.055 * (168/365)

= 0.0252836 (rounded to 7 decimal places)

Now, substitute the values into the expression P(1+rt):

P(1+rt) = 1575 * (1 + 0.0252836)

= 1575 * 1.0252836

= 1615.85846 (rounded to 5 decimal places)

The result is approximately $1615.86.

Therefore, the correct option is a) $5161.24

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Answer:

$425

Step-by-step explanation:

Let the dryer cost x

and the dish washer cost y

x+y=784-----------1

y=x-66-------------2

put the value of y=x-66 in 1

x+x-66=784

2x= 784+66

2x=850

x=850/2

x=425

Hence the dryer cost $425

The point (x,y) = (-1.5) is in the second quadrant. So the best way is to draw a point in the xy coordinate plane and a line segment at the origin (0,0).

Now draw a line from (-1.5) to the x-axis. What you should have is a right triangle with the following coordinates: (0,0); (-1.5); (-1.0).

If you look at a right triangle, it has a small leg on the x-axis. Its length is 1 unit. The larger leg is 5 units long. The length of the hypotenuse can be calculated using the Pythagorean theorem. c2 = a2 + b2, the length of hypotenuse c is √26.

In summary,

- length of short leg = 1 unit

- length of long leg = 5 units

- length of hypotenuse = √26 units

Let x be the length of the leg on the x axis (short leg). Let

y be the length of the other leg (long leg).

Let r be the length of the hypotenuse.

x = -1

y = 5

r = √26

Now we can calculate the trigonometric identity:

sin θ = y/r

cos θ = x/r

tan θ = y/x

cot θ = x/y

seconds θ = r/x

csc θ = r/y

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8449

Answer:

3 years.

Step-by-step explanation:

Answer

3 years

Step by step explanation

Interest = 1740 - 1200

= 540

SI = prt/100

540 = 1200*15*t/100

540 = 12*15*t

540 = 180*t

t = 540/180

t = 3 yrs

Answer:

The X Axis on a Graph

The horizontal line (left-to-right) represents the X axis.

The y-axis is a vertical number line and goes up and down.

Answer:

hii simple answer here

The x-axis goes from left to right, while the y-axis goes from bottom to top.

Answer:

36

Step-by-step explanation:

18*2 = 36

There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

Answer:

C

Step-by-step explanation:

1.75n = 7 ( to isolate n divide both sides by 1.75 )

n = \(\frac{7}{1.75}\) = 4

Answer:

c.)  Divide by 1.75

Step-by-step explanation:

Given equation:

⇒ 1.75n = 7

Here the coefficient of n which is 1.75 needs to be removed. There is only one way of doing that - by dividing both sides by 1.75.

When done so:

⇒ 1.75n/1.75 = 7/1.75

⇒ n = 4