Find the equation of the line passing through the points (-1,-1) and (3,5).

yes, actually it is possible. The mathematical expression f(x)=exp or ex denotes the exponential function.

The mathematical expression f(x)=exp or ex denotes the exponential function. The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras. When the input variable x appears as an exponent in the formula f(x) = axe, an exponential function is indicated. The exponential curve is influenced by both the exponential function and the value of x.

One of the key mathematical operations is the exponential function (though it would have to admit that the linear function ranks even higher in importance). We allow the exponent to be the independent variable to create an exponential function. The formula f(x)=2x is a straightforward example.

Hence, yes, actually it is possible.

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There is no exact way to determine the probability of a child inheriting a skin condition such as peeling skin syndrome, as it is dependent on various genetic factors.

Unfortunately, the exact probability of a child inheriting a skin condition is difficult to determine due to various factors. It is possible that the child could inherit the skin condition, but the likelihood of this happening depends on a variety of genetic factors. It is best to speak to a genetic counselor for more information about the chances of the child inheriting the skin condition.

There is no exact way to determine the probability of a child inheriting a skin condition such as peeling skin syndrome, as it is dependent on various genetic factors. It is recommended to speak to a genetic counselor to get more information.

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The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

To calculate the actual distance between Beitbridge and Musina, given the scale of the map and the measured distance on the map, we can use the concept of scale.

The scale of the map is given as 1:3,000,000, which means that 1 cm on the map represents 3,000,000 cm in real life.

The measured distance on the map between Beitbridge and Musina is 1.3 cm.

To find the actual distance, we can set up a proportion using the scale:

1 cm on the map / 3,000,000 cm in real life = 1.3 cm on the map / x km in real life.

Simplifying the proportion, we have:

1 / 3,000,000 = 1.3 / x.

Cross-multiplying, we get:

x = (1.3 * 3,000,000) / 1.

x = 3,900,000 / 1.

x = 3,900,000 km.

The actual distance between Beitbridge and Musina is 3,900,000 kilometers.

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Answer:

Step-by-step explanation:

How much does a sandwich and drink cost together?

($0.79 + $2.49) = $3.28

How many can he buy with $45.00?

$45/$3.28 = 13.72 or 13 sandwich/soda combos.

13 soft drinks and  

13 sandwiches

How much change will Jason get?

$45 - 13($3.28) = $2.36

The given matrix is nilpotent of index 3. If matrix A is nilpotent, then its transpose AT is also nilpotent. Nilpotent matrices are not invertible, and as a consequence, the identity matrix minus a nilpotent matrix is always invertible.

(a) To determine the index of the given matrix A, we need to find the smallest positive integer k such that \(A^{k}\) = 0. Computing the powers of A, we have \(A^{2}\) = \(\left[\begin{array}{ccc}0&1&2\\1&0&0\\2&1&0\end{array}\right] t\), \(A^{3}\) = 0, where 0 represents the zero matrix. Therefore, the index of matrix A is 3.

(b) If A is nilpotent, it means that there exists a positive integer k such that \(A^{k}\)= 0. Taking the transpose of both sides, we have (\(A^{k}\))T = 0. Since the transpose of a matrix raised to a power is the same as the transpose of the matrix raised to that power, we have\((A^T)^k\) = 0. Hence, AT is also nilpotent.

(c) Nilpotent matrices are not invertible. To see why, consider a nilpotent matrix A of index k. If A was invertible, there would exist a matrix B such that AB = BA = I, where I is the identity matrix. However, multiplying \(A^{k}\)with B yields (\(A^{k}\)B = 0, contradicting the fact that AB = I. Therefore, nilpotent matrices are not invertible.

(d) If A is nilpotent, then the identity matrix minus A, denoted as I - A, is invertible. To prove this, suppose there exists a matrix B such that (I - A)B = I. Expanding the left side, we get IB - AB = I. Simplifying, we have B - AB = I. Rearranging the terms, we get B = I + AB. Now, multiplying both sides by A, we have AB = A + \(A^2\)B. Since \(A^2\)B is nilpotent,\(A^2\)B = 0. Therefore, B = I + 0 = I. This shows that there exists a unique matrix B such that (I - A)B = I, confirming that I - A is invertible.

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Answer:

8%

Step-by-step explanation:

If he earned $120 out of $1500, just do 120/1500 which will give you 0.08 which is 8 percent.

Answer:

Step-by-step explanation:

A root or a zero of a polynomial are the value(s) of X that cause the polynomial to = 0 (or make Y=0). It is an X-intercept. The root is the X-value, and zero is the Y-value. It is not saying that imaginary roots = 0.

Answer:

x = 4

x = -5

I have made it in above picture

hope it helps

The value of the root variables m and n are 3/2 and 4 respectively

Quadratic functions are simply defined as functions with its highest degree as 2.

Examples of these functions ;

x² + 3x + 5

2x² + 4x -9

The general formula  denoting a quadratic function is expressed as;

ax² + bx + c

Convert to Standard form, we have;

ax² + bx + c = 0

From the given illustration, we note that the functions have the same or common root values

Then, we have;

n value of the function = 4

For the value of m, we use the fraction, (-b/a)

-5x/m = -10x/3

cross multiply the values, we get;

m = 3(-5x)/-10x

m = 3/2

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These are the partial derivatives of the given functions with respect to x and y.

find the partial derivatives of each of the given functions with respect to x and y, while treating the other variable as a constant:

1. f(x, y) = -4xy + 2x

Partial derivative with respect to x: ∂f/∂x = -4y + 2

Partial derivative with respect to y:

∂f/∂y = -4x

2. f(x, y) = 5x²y + 3y² + 2

Partial derivative with respect to x:

∂f/∂x = 10xy

Partial derivative with respect to y:

∂f/∂y = 5x² + 6y

3. f(x, y) = (2x²)/(x²)

Partial derivative with respect to x:

∂f/∂x = 2

Partial derivative with respect to y:

∂f/∂y = 0 (Since y is not involved in the expression)

4. f(x, y) = (0.5y)/(y)

Partial derivative with respect to x:

∂f/∂x = 0 (Since x is not involved in the expression)

Partial derivative with respect to y:

∂f/∂y = 0.5(1/y) = 0.5/y

5. f(x, y) = ln(2x)/y

Partial derivative with respect to x:

∂f/∂x = (1/(2x))/y = 1/(2xy)

Partial derivative with respect to y:

∂f/∂y = -ln(2x)/(y²)

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Answer:

x=60

Step-by-step explanation:

these shapes seem to be flipped

side WZ seems to be similar to PS

and Side ZY seems to be similar to RS

ewe can make ratios on the side lengths

40/75=32/x

cross multiply

40x=75(32)

40x=2400

/40.  /40

x= 60

hopes this helps please mark brainliest

Answer:

First term = 53,

Step-by-step explanation:

a10 = a1 + (10 - 1)d so:

98 = a1 + 9*5

a1 = 98 - 45

    = 53,

Answer:

to figure this out you would need to know the circumference of the dime. then divide 41.8 by the circumference.

Step-by-step explanation:

if the circumference is aprox. 2.2 inches, then you would divide 41.8 by 2.2.

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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The required percentage of regular grade gasoline are;

a) 34%

b) 95.5%

c)4.5%

(a) To determine the percentage of regular grade gasoline sold between $3.25 and $3.65 per gallon, we need to find the proportion of the data that falls within this range. Assuming a bell-shaped distribution, we can use the standard deviation and mean to find the z-scores for these two prices, and then look up the cumulative probability in a standard normal table.

$3.25$ is $1$ standard deviation below the mean and $3.65$ is $0.5$ standard deviation above the mean.

Using a standard normal table, we find that approximately 68% of the data falls within one standard deviation of the mean, and approximately 34% falls between $-0.5$ and $0.5$ standard deviations.

Therefore, approximately 34% of regular grade gasoline is sold between $3.25 and 3.65 per gallon.

(b) To find the percentage of regular grade gasoline sold between $3.25 and $3.85 per gallon, we need to find the cumulative probability for the range $3.25$ to $3.85$.

$3.85$ is $1.5$ standard deviations above the mean.

Using a standard normal table, we find that approximately 95.5% of the data falls within $1.5$ standard deviations of the mean.

Therefore, approximately 95.5% of regular grade gasoline is sold between $3.25 and $3.85 per gallon.

(c) To find the percentage of regular grade gasoline sold for more than $3.85 per gallon, we need to find the cumulative probability for values greater than $3.85$.

Using a standard normal table, we find that approximately 100% - 95.5% = 4.5% of the data falls above $1.5$ standard deviations from the mean.

Therefore, approximately 4.5% of regular grade gasoline is sold for more than $3.85 per gallon.

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Answer:

the same:

a= b x h

22 x 12 =264

=[264cm]

Step-by-step explanation:

Step-by-step explanation:

option D 120 is the correct answer of this question .

plz mark my answer as brainlist .Hope this will be helpful to you .

Answer:

\(=5r^2-17r+5\)

Step-by-step explanation:

\(\mathrm{Apply\:rule}:\quad \left(a\right)=a\)

\(\left(8r^2-12r+4\right)=8r^2-12r+4\)

\(=8r^2-12r+4-\left(3r^2+5r-1\right)\)

\(\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b\)

\(-\left(3r^2+5r-1\right)=-3r^2-5r+1\)

\(=8r^2-12r+4-3r^2-5r+1\)

\(\mathrm{Group\:like\:terms}\)

\(=8r^2-3r^2-12r-5r+4+1\)

\(\mathrm{Add\:the\:numbers:}\:4+1=5\)

\(=8r^2-3r^2-12r-5r+5\)

\(\mathrm{Add\:similar\:elements:}\:8r^2-3r^2=5r^2\)

\(=5r^2-12r-5r+5\)

\(\mathrm{Add\:similar\:elements:}\:-12r-5r=-17r\)

\(=5r^2-17r+5\)

Answer:

6 miles/hr

Step-by-step explanation:

Given:

Top speed of Brand A scooter goes 2 miles per hour faster than Brand B.

Distance traveled by brand A scooter on its top speed in 3 hours = 24 miles

To find:

The rate at which brand B traveled the same distance at its top speed ?

Solution:

Let the top speed/rate of brand B scooter = \(x\) miles/hr

According to question:

Top speed/rate of brand A scooter = \(x+2\) miles/hr

Formula:

\(Distance = Speed \times Time\)

Distance is given to be equal to 24 miles:

24 = (\(x+2\)) \(\times 3\)  ...... (1)

Solving the above equation by first dividing the equation on both sides with 3:

\(\dfrac{24}{3} = \dfrac{(x+2)\times 3}{3}\\\Rightarrow 8 = (x+2)\)

Now subtracting 2 from both the sides:

\(\Rightarrow 8-2=x+2-2\\\Rightarrow x=6\ miles/hr\)

Therefore, the answer is:

Top speed of scooter B is 6 miles/hr.

The if-then moves used to solve the equation (1) are:

Dividing by a non zero number on both sides, then subtracting a number on both sides.

Triangles ABC and DEF are mathematically similar. The area of triangles ABC is 34cm^2. Calculate the area of triangle DEF from the picture.

The required Area of Triangle DEF is 51cm square.

Given that,

The triangles ABC=DEF

Then, height of ABC= height of DEF

By the given picture we have

CB = 9cm

FE =13.5cm

Area of ABC= 34cm square

According to the question,

The area of a triangle= \(\frac{1}{2}\) × base × height,

Again, Area of ABC =  \(\frac{1}{2}\) × base × height= 34cm square

=  \(\frac{1}{2}\) × 9cm × height= 34cm square

=  \(\frac{9}{2}\) cm × height= 34cm square

=  Height= \(\frac{34cmsquare}{\frac{9}{2} }\)

= Height = \(\frac{68}{9}\)cm.

The height of the triangle ABC is \(\frac{68}{9}\)cm.

Therefore,

Area of DEF = \(\frac{1}{2}\) × base × height

= \(\frac{1}{2}\) × 13.5cm × (\(\frac{68}{9}\))cm

= 51cm square

Therefore, the Area of Triangle DEF is 51cm square.

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Answer:

g(x) = x(x - 5)(x + 4)

Step-by-step explanation:

Here the binomial is x + 4, indicating that a root is -4.  Note that x is common to all terms of g(x)=x3−x2−20x, so we can immediately write g(x) in partially factored form as

g(x) = x(x^2 - x - 20).  Since -20 = -5*4,

g(x) = x(x - 5)(x + 4)

Answer:

x(x-5)(x+4)

Step-by-step explanation:

Checked. Answer submitted prior to mine is correct on BIM.

Answer:

It is not a function

Step-by-step explanation:

In function, each x-value has only one y-value

Here the x-value of 7 has two y-values of -3 and -1

Answer:

d) 6y=x+5

Step-by-step explanation:

To find if two linear equations are parallel, their slopes* (x) have to be the same, and their y intercepts** have to be different.

5y=x+2 is parallel to the equation,
6y=x+5 because the slope is the same and the y intercept is different.

*The slope in an equation is the x value.

Example 1: 2y=6x+3
In this equation, 6x is the slope of the line.

Example 2: y=3x+4
In this equation 3x is the slope.

**The y intercept of an equation is the number without a letter in front.

Example 1: 3y=2x +6
In this equation the 6 would be the y intercept.

Example 2: y=4x+7
The y intercept in this equation is 7.

Hope this helps!

Answer:

brainliest? i answered for you bro

Step-by-step explanation:

The economic significance suggested by the slope coefficient helps you determine whether the coefficient implies a "big" effect of X on Y.

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane can aid in determining whether the line is parallel, perpendicular, or not. Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined. The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. 

Given

The slope coefficient suggests economic significance.

The economic significance suggested by the slope coefficient helps you determine whether the coefficient implies a "big" effect of X on Y.

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2 + 2 = 4

The answer is 4

Answer:

2+2=4

Step-by-step explanation:

is 4 because take easy way 2into 2 4

Answer:

0.25 pounds

Step-by-step explanation: there are 16 ounces in a pound

Answer:

.25 lbs

Step-by-step explanation:

1 pound is 16 ounces

4 ounces * 1 lbs/16 ounces

4/16 lbs

.25 lbs

Answer:

Hello!

1 on the left in vertical and 1 on the right is adjacent hope that helps.

Answer:

50$×40_=,29

Step-by-step explanation:

no explanation needed