Jawanda's car is worth about $4,000 and she owes $1,500 on it.
She also has a sound system valued at $500 and $350 in her
checking account. What is her net worth?

Answer: x = 46°

Step-by-step explanation:

Answer:

2070 / 6930 = 0.2987.....x 100 = 29.87%

The necessary and sufficient conditions for A to be diagonalisable are:

The quadratic equation (ad - aλ - dλ + λ^2 - bc = 0) must have two distinct real roots.

These distinct real roots correspond to two linearly independent eigenvectors.

To determine the necessary and sufficient conditions for the real matrix A = [[a, b], [c, d]] to be diagonalizable, we need to examine its eigenvalues and eigenvectors.

First, let λ be an eigenvalue of A, and v be the corresponding eigenvector. We have Av = λv.

Expanding this equation, we get:

[a, b] * [v1] = λ * [v1]

[c, d] [v2] [v2]

This leads to the following system of equations:

av1 + bv2 = λv1

cv1 + dv2 = λv2

Rearranging these equations, we get:

av1 + bv2 - λv1 = 0

cv1 + dv2 - λv2 = 0

This can be rewritten as:

(a - λ)v1 + bv2 = 0

cv1 + (d - λ)v2 = 0

To have non-trivial solutions, the determinant of the coefficient matrix must be zero. Therefore, we have the following condition:

(a - λ)(d - λ) - bc = 0

Expanding this equation, we get:

ad - aλ - dλ + λ^2 - bc = 0

This is a quadratic equation in λ. For A to be diagonalisable, this equation must have two distinct real roots.

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Answer:

There are 36 cards

Step-by-step explanation:

let blue be B and red be R

B:R =5:7

B/R = 5/7

there are 15 blue cards...

15/R = 5/7

make R subject of the formula...

R = (15×7)/5

R = 21

there are 21 red cards and 15 blue cards

Total number of cards = red cards + blue cards

= 21 + 15

= 36 cards

You would solve the function but you would replace the variable with the number in the parenthesis. Like if it was f(2)=3x+4 then you would do 3(2)+4 which is 10.

Step-by-step explanation:

To mentally divide by 0.1, 0.01 and 0.001, you can use the following tips:

Dividing by 0.1 is equivalent to multiplying by 10.

Dividing by 0.01 is equivalent to multiplying by 100.

Dividing by 0.001 is equivalent to multiplying by 1000.

The probability that a randomly chosen value is greater than 3 is 0.8413.

(a) Let X be a random variable with a normal distribution with mean μ = 10 and standard deviation σ = 7. We want to find the proportion of the population that is less than 21, or P(X < 21).

Using the standard normal distribution, we can find the z-score corresponding to 21:

z = (21 - μ) / σ = (21 - 10) / 7 = 1.57

Looking up the corresponding probability in the standard normal distribution table, we find that P(Z < 1.57) = 0.9418.

Therefore, P(X < 21) = P(Z < 1.57) = 0.9418.

(b) We want to find the probability that a randomly chosen value is greater than 3, or P(X > 3).

Again, we can use the standard normal distribution and find the z-score corresponding to 3:

z = (3 - μ) / σ = (3 - 10) / 7 = -1

Using the standard normal distribution table, we find that P(Z > -1) = P(Z < 1) = 0.8413.

Therefore, P(X > 3) = 1 - P(X < 3) = 1 - P(Z < -1) = 1 - 0.1587 = 0.8413.

So the probability that a randomly chosen value is greater than 3 is 0.8413.

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The estimation of 0.000007328 is \(7\times10^{-6\).

Estimation is he ability to guess the amount of anything without actual measurement.

The number (n) is given as:

\(\text{n}=0.000007328\)

Multiply by 1

\(\text{n}=0.000007328\times1\)

The number is to be rounded to the nearest millionth.

So, we substitute \(\frac{1000000}{1000000}\) for 1

\(\text{n}=0.000007328\times1\)

\(\text{n}=0.000007328\times\dfrac{1000000}{1000000}\)

This becomes

\(\text{n}=7.328\times\dfrac{1}{1000000}\)

Express the fraction as a power of 10

\(\text{n}=7.328\times10^{-6\)

Approximate to a single digit

\(\rightarrow\bold{n=7\times10^{-6}}\)

Therefore, the estimation of 0.000007328 is \(7\times10^{-6}\).

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The researcher will Eliminate the nonsignificant independence variable and rerun the regression.  

Meaning of multiple regression analysis: Multiple regression is a statistical technique that can be used to analyze the relationship between a single dependent variable and several independent variables. The objective of multiple regression analysis is to use the independent variables whose values are known to predict the value of the single dependent value.

When modeling the relationship between a single response variable and multiple regressor variables, multiple regression analysis is used.

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Answer:

3.5 units

Step-by-step explanation:

Base × Height = Area, so 10 Base × 3.5 Height = 35 units^2

Answer:

3.5 units

Step-by-step explanation:

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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Answer:

550w

Step-by-step explanation:

Answer:

y = 5

x = 1

Step-by-step explanation:

y = 3x + 2

-4x + 4(3x+2)=16

y=3x+2

-4x+(4*3x+4*2)=16

x = 1

y = 5

Answer:

x-coordinate = 1

y-coordinate = 5

Step-by-step explanation:

By using the substitution method, we substitute either x-term or y-term in any equation.

the term must be only the subject in order to substitute in.

Our equation that has only the subject is the first equation.

Substitute y = 3x+2 in the second equation.

\( - 4x + 4(3x + 2) = 16\)

Distribute 4 in 3x+2

\( - 4x + 12x + 8 = 16\)

The constant cannot add up or subtract with the variable. Therefore, move 8 to subtract 16 on another side.

\(12x - 4x = 16 - 8 \\ 8x = 8\)

Move 8 to divide 8 on the another side.

\(x = \frac{8}{8} \\ x = 1\)

Our next goal is to find the y-value by substituting x = 1 in any given equation.

I will substitute x = 1 in the first equation. (You can substitute in the second equation if you want.)

\(y = 3(1) + 2 \\ y = 3 + 2 \\ y = 5\)

Answer Check

Checking is to make sure that we have got the right answer. We can check the answer by substituting y-value and x-value in both equations.

\(x = 1 \\ y = 5\)

First Equation Check

\(5 = 3(1) + 2 \\ 5 = 3 + 2 \\ 5 = 5\)

The equation is true. Therefore, the answer is correct for first equation.

Second Equation Check

\( - 4(1) + 4(5) = 16 \\ - 4 + 20 = 16 \\ 16 = 16\)

The equation is true. Both equations are true for x = 1 and y = 5.

Therefore, the answer is (1,5)

The missing number in the median set is 6.

We are given that;

Median set=18

Now,

To find the missing number, you need to know the number of elements in the set and their order. The median is the middle value of a set when it is arranged in ascending or descending order. If the set has an odd number of elements, the median is the exact middle value. If the set has an even number of elements, the median is the average of the middle two values.

For example, if the set is {2, 4, 6, 8, 10}, the median is 6 because it is the middle value. If the set is {3, 5, 7, 9}, the median is (5 + 7) / 2 = 6 because it is the average of the middle two values.

Therefore, by median the answer will be 6.

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From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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Answer:

The hand moved \(\bf \frac{3}{4}\) of a complete turn.

Step-by-step explanation:

The hand moved from 3 to 12, that is, it moved:

12 - 3 = 9 hours

In a clock, 12 hours represent a complete turn.

∴ Using the unitary method:

12 hours    ⇒     1 turn

1 hour        ⇒     \(\frac{1}{12}\) turns

9 hours     ⇒     \(\frac{1}{12}\)  × 9 = \(\frac{9}{12}\)

                                     = \(\bf \frac{3}{4}\) turns    (simplified)

∴ The hand moved \(\bf \frac{3}{4}\) of a complete turn.

The answer is  \(\boxed{\frac{3}{4}}\).

To find the fraction of a complete turn it moved in this case, take the ratio between hours covered between 3 and 12, and the hours covered in a complete turn.

Answer:

whether the transaction

is a purchase or sale. Write a formula for the advisor's

commission. Let D represent the value of one transaction.

Give two examples of how this financial advisor could earn a

commision of $1000

Step-by-step explanation:

Answer:

none

Step-by-step explanation:

Answer:

375

Step-by-step explanation:

The values of the trigonometric functions ;

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

Given cos (theta) = -5/6, and tan (theta) < 0, we can find sin(theta), cos(theta), tan(theta), csc(theta), and sec(theta).

First, we can use the fact that cot(theta) = cos(theta)/sin(theta) to find sin(theta) and cos(theta).

Next, we can use the fact that sin(theta) = cos(theta) to find the values of

Since cos (theta) = 15, we can write it as cos (theta) = adjacent/opposite, where adjacent = 15 and opposite = 1 (since cotangent is the reciprocal of tangent).

Using the Pythagorean theorem, we can find the hypotenuse:

adjacent= √(hypotenuse ² + opposite²) = √(6² - 5²) = √11

sin(theta) = √11/6

cos(theta) =  -5/6

tan(theta) = 5/√11

csc(theta) = 6/√11

sec(theta) = 6/5

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The order from least to greatest negative four and seven tenths repeating, negative four and eight ninths, 490%, and −4.9 from least to greatest is; option A

four and seven tenths repeating

= 4.77777777

negative four and eight ninths

= -4 8/9

= -4.888888888888888

490%

= 490/100

= 4.9

−4.9

Rearranging from least to greatest (ascending order)

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Answer:

a

Step-by-step explanation:

hopethishelps

Answer: 9/4

Step-by-step explanation:

if you were to cover the whole wall you would need 9/4 gallons.

3/4x3/1

The z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

The z-scores will not change if you convert the height measurements from inches to centimetres or vice versa. The z-score is a standard score representing the number of standard deviations, a value above or below the mean of a normal distribution.

The z-score is calculated using the formula z = (x - mean)/standard deviation, where x is the value being compared to the mean and standard deviation of the distribution.

Converting the height from inches to centimetres or vice versa will only change the units of measurement, but the relative position of a value within the distribution will remain unchanged.

Therefore, the z-scores will remain the same regardless of whether you use inches or centimetres for the height measurements.

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The composition of functions g and f, denoted as \(\(g \circ f\)\)is a function that maps elements from the domain of f to the codomain of g. In this case, we have \(\(g: a \to b\)\) and \(\(f: b \to c\)\), where \(\(a = b = c = \{1, 2, 3, 4\}\)\).

The function g is given by \(\(\{(1, 4), (2, 1), (3, 1), (4, 2)\}\)\), and f is given by \(\(\{(1, 3), (2, 2), (3, 4), (4, 2)\}\)\). The composition \(\(g \circ f\)\) is a function that maps elements from the domain of f to the codomain of g. In other words, it combines the mappings of g and f in a way that the output of f becomes the input for g.

To compute \(\(g \circ f\)\), we start with the elements in the domain of f, which is \(\(b = \{1, 2, 3, 4\}\)\). For each element x in b, we apply f to get f(x), and then apply g to get g(f(x)).

The composition \(\(g \circ f\)\) is calculated as follows:

\(\[g \circ f = \{(1, g(f(1))), (2, g(f(2))), (3, g(f(3))), (4, g(f(4)))\}\]\)

Substituting the values from the given functions, we have:

\(\[g \circ f = \{(1, g(3)), (2, g(2)), (3, g(4)), (4, g(2))\}\]\)

Now, we substitute the values of g for the respective inputs:

\(\[g \circ f = \{(1, 2), (2, 4), (3, 2), (4, 1)\}\]\)

Therefore, the composition \(\(g \circ f\)\) is given by \(\(\{(1, 2), (2, 4), (3, 2), (4, 1)\}\)\).

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Answer:

The LCM of 96 and 144 is 288.

Step-by-step explanation:

Please give the brainliest, really appreciated.

Answer:

lines b and c are perpendicular

Step-by-step explanation:

Use slope

slope for parallel is the same

slope for perpendicular is negative reciprocal

line a slope- 1-3/-2-0 is -2/-2 or 1

line b slope- 1-4/4-6 is -3/-2 or 3/2

line c slope- 3-1/1-4 is 2/-3 or - 2/3

none are the same so none are parallel

- 2/3 is the negative reciprocal of 3/2 so lines b and c are perpendicular

Answer:  x= \(\sqrt{x=15i} or \sqrt{x=-5\)

​

Answer:

There are 2 solutions.

Step-by-step explanation:

With absolutes, there are (usually) two solutions

Explanation:

(1)

x ≥ 6 → x − 6 ≥ 0

the brackets don't have to do their work:

→

x − 6 = 4 → x =10

(2)

x < 6 → x − 6 < 0

the brackets flip the sign:

− (x − 6) = 4 → − x + 6 = 4 → x = 2

Answer:

x = 2 or x = 10

The sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

To find a sinusoidal function with the given attributes, we can use the general form of a sinusoidal function:

f(x) = A * sin(Bx + C) + D

where A represents the amplitude, B represents the frequency (related to the period), C represents the phase shift, and D represents the vertical shift.

Amplitude: The given amplitude is 10. So, A = 10.

Period: The given period is 5. The formula for period is P = 2π/B, where P is the period and B is the coefficient of x in the argument of sin. By rearranging the equation, we have B = 2π/P = 2π/5.

Midline: The given midline is y = 31, which represents the vertical shift. So, D = 31.

f(3) = 41: We are given that the function evaluated at x = 3 is 41. Substituting these values into the general form, we have:

41 = 10 * sin(2π/5 * 3 + C) + 31

10 * sin(2π/5 * 3 + C) = 41 - 31

10 * sin(2π/5 * 3 + C) = 10

sin(2π/5 * 3 + C) = 1

To solve for C, we need to find the angle whose sine value is 1. This angle is π/2. So, 2π/5 * 3 + C = π/2.

2π/5 * 3 = π/2 - C

6π/5 = π/2 - C

C = π/2 - 6π/5

Now we have all the values to construct the sinusoidal function:

f(x) = 10 * sin(2π/5 * x + (π/2 - 6π/5)) + 31

Simplifying further:

f(x) = 10 * sin(2π/5 * x - 2π/10) + 31

f(x) = 10 * sin(2π/5 * x - π/5) + 31

Therefore, the sinusoidal function that satisfies the given attributes is f(x) = 10 * sin(2π/5 * x - π/5) + 31.

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