PLEASE GELP WITH ALGEBRA Given the function below find f(-2).
f(x) = x^2 – 3x + 5

Step-by-step explanation:

a) x + 4 = 12

=> x + 4 - 4 = 12 - 4

=> x = 8

d) - 14 = 2x

=> -14/2 = 2x/2

=> -7 = x

x = -7

b) x + 5,1 = x + x

1 = x + x

1 = 2x

1/2 = 2x/2

x = 1/2 or 0.5

e) 5 = 4x

=> 5/4 = 4x/4

=> x = 5/4 or 0.8

c) 6x = x - 15

=> x - 15 = 6x

=> -15 = 6x - x

=> -15 = 5x

=> -15/5 = 5x/5

=> x = -3

f) x + 8 = 2x + 3

x+8=2x+3

x+8−2x=2x+3−2x

−x+8=3

−x+8−8=3−8

−x=−5

−x/−1 = −5/−1

x=5

J'espère que cela vous aidera, si vous avez d'autres problèmes, dites-le moi

Answer:

i think its 6

Step-by-step explanation:

You have to divide 5 to 5/6 which equals 6

Answer:

6

Step-by-step explanation:

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

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A data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

Thus, a data set having two values that have the highest and equal frequencies will have a bimodal distribution. Hence, option D is the right choice.

The given question is incomplete. The complete question is:

"Sometimes, a data set has two values that have the highest and equal frequencies. In this case, the distribution of the data can best be described as:

A. Symmetric distribution

B. Negatively skewed distribution

C. Positively skewed distribution

D. Bimodal distribution."

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His dog casts a shadow of 6ft at 6 pm if it casts a 2ft shadow at noon.

A man casts a 3 ft shadow at noon and a 9 ft shadow at 6 pm.

His dog casts a 2 ft shadow at noon.

Therefore we can find the length of shadow casts by his dog at 6 pm as follows:

Length of the shadow of a man at noon/length of the shadow of a man at 6 pm = length of the shadow of his dog at noon/length of the shadow of his dog at 6 pm

⇒3/9 = 2/length of the shadow of his dog at 6 pm

⇒length of the shadow of his dog at 6 pm = (2 × 9)/3

⇒length of the shadow of his dog at 6 pm = 6 ft

Hence, the shadow cast by his dog at 6 pm will be 6 ft.

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Answer:

-15

Step-by-step explanation:

It is possible for there to be a real number t such that tan(t) is equal to 5/4.

The tangent function (tan) is a periodic function that repeats its values every π radians or 180 degrees. It has both positive and negative values across its periodicity. Therefore, for any given value of tan(t), there are multiple solutions.

To find a specific angle where tan(t) is equal to 5/4, we can use inverse trigonometric functions. The inverse tangent function (arctan or \(tan^{-1}\)) can be used to find the angle associated with a given tangent value.

In this case, we can find an angle t such that tan(t) = 5/4 by taking the inverse tangent of 5/4. Using a calculator or mathematical software, we find that arctan(5/4) is approximately 51.34 degrees or approximately 0.896 radians.

Therefore, there exists a real number t such that tan(t) is equal to 5/4, specifically at approximately t = 51.34 degrees or t = 0.896 radians.

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We can compare these values to find the absolute maximum and minimum values of F(x, y).

To find the absolute maximum and minimum values of the function\(F(x, y) = r + y + ry + 3\) on the domain\(D = {(x, y) | x^2 + y^2 ≤ 51}\), we need to evaluate the function at critical points and boundary points of the domain. First, let's find the critical points by taking the partial derivatives of F(x, y) with respect to x and y:

\(∂F/∂x = r∂F/∂y = 1 + r\)

To find critical points, we set both partial derivatives equal to zero:

\(r = 0 ...(1)1 + r = 0 ...(2)\)

From equation (2), we can solve for r:

\(r = -1\)

Now, let's evaluate the function at the critical point (r, y) = (-1, y):

\(F(-1, y) = -1 + y + (-1)y + 3F(-1, y) = 2y + 2\)

Next, let's consider the boundary of the domain, which is the circle defined by \(x^2 + y^2 = 51.\)To find the extreme values on the boundary, we can use the method of Lagrange multipliers.

Let's define the function \(g(x, y) = x^2 + y^2.\) The constraint is \(g(x, y) = 51.\)

Now, we set up the Lagrange equation:

\(∇F = λ∇g\)

Taking the partial derivatives:

\(∂F/∂x = r∂F/∂y = 1 + r∂g/∂x = 2x∂g/∂y = 2y\)

The Lagrange equation becomes:

\(r = λ(2x)1 + r = λ(2y)x^2 + y^2 = 51\)

From the first equation, we can solve for λ in terms of r and x:

\(λ = r / (2x) ...(3)\)

Substituting equation (3) into the second equation, we get:

\(1 + r = (r / (2x))(2y)1 + r = ry / xx + xr = ry ...(4)\)

Next, we square both sides of equation (4) and substitute \(x^2 + y^2 = 51:(x + xr)^2 = r^2y^2x^2 + 2x^2r + x^2r^2 = r^2y^251 + 2(51)r + 51r^2 = r^2y^251(1 + 2r + r^2) = r^2y^251 + 102r + 51r^2 = r^2y^251(1 + 2r + r^2) = r^2(51 - y^2)1 + 2r + r^2 = r^2(1 - y^2 / 51)\)

Simplifying further:

\(1 + 2r + r^2 = r^2 - (r^2y^2) / 51(r^2y^2) / 51 = 2rr^2y^2 = 102ry^2 = 102\)

Taking the square root of both sides, we get:

\(y = ±√102\)

Since the square root of 102 is approximately 10.0995, we have two values for \(y: y = √102 and y = -√102\).

Substituting y = √102 into equation (4), we can solve for x:

\(x + xr = r(√102)x + x(-1) = -√102x(1 - r) = -√102x = -√102 / (1 - r)\)

Similarly, substituting y = -√102 into equation (4), we can solve for x:

\(x + xr = r(-√102)x + x(-1) = -r√102x(1 - r) = r√102x = r√102 / (1 - r)\)

Now, we have the following points on the boundary of the domain:

\((x, y) = (-√102 / (1 - r), √102)(x, y) = (r√102 / (1 - r), -√102)\)

Let's evaluate the function F(x, y) at these points:

\(F(-√102 / (1 - r), √102) = -√102 / (1 - r) + √102 + (-√102 / (1 - r))√102 + 3F(r√102 / (1 - r), -√102) = r√102 / (1 - r) + (-√102) + (r√102 / (1 - r))(-√102) + 3\)

To find the absolute maximum and minimum values of F(x, y), we need to compare the values obtained at the critical points and the points on the boundary.

Let's summarize the values obtained:

\(F(-1, y) = 2y + 2F(-√102 / (1 - r), √102)F(r√102 / (1 - r), -√102)\)

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The probability that the 39 randomly-selected laptops have a mean "replacement-time" as 3.8 years or less is equal to 0.1058.

The distribution of the sample mean follows a normal distribution with mean (μ) = 3.9 years and standard deviation = σ/√n = 0.5/√39 years, where n = 39 is the sample size.

We want to find the probability that the sample mean replacement time is less than or equal to 3.8 years, which is written as : P(x' ≤ 3.8).

By using the z-score formula, we convert this to a standard normal distribution:

⇒ z = (x' - μ)/(σ/√n) = (3.8 - 3.9)/(0.5/√39) = -1.249,

Using a standard normal distribution table, the probability that a standard normal variable is less than or equal to -1.249,is approximately 0.1058,

Therefore, the required probability is approximately 0.1058.

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The given question is incomplete, the complete question is

Assuming that the laptop replacement times have a mean of 3.9 years and a standard deviation of 0.5 years, find the probability that 39 randomly selected laptops will have a mean replacement time of 3.8 years or less.

Answer:

4/10 combined

Step-by-step explanation:

Hope this helps, let me know!

Answer: 4/10 or 0.4

Step-by-step explanation:

    You turn the .3 into a fraction. Say it aloud and it's 'three tenths." The cat products are 1/10 so you add 3/10+1/10=4/10 or 0.4.

Using MATLAB command, we get the equation is: s^4 + 24s^3 + 249s^2 + 996s + 29800.

In MATLAB, type the following command:

coefficients = [1, 24, 249, 996, 29800];
roots_eq = roots(coefficients);

After obtaining the roots, identify the dominant roots (closest to the origin) and use them to estimate the system's time constant (τ), damping ratio (ζ), and oscillation frequency (ωn).

To find the dominant roots, you can examine the real parts of the roots, as the dominant roots will have the smallest real parts.

Once you identify the dominant roots, you can use them to calculate τ, ζ, and ωn using the following relationships:

τ = 1/abs(real(dominant_root))
ζ = abs(real(dominant_root))/ωn
ωn = sqrt(real(dominant_root)^2 + imag(dominant_root)^2)

The MATLAB command roots to obtain the roots of the fourth-order characteristic equation is shown below:s +24s^3 +249s^2 +996s+29800The MATLAB command roots produces the roots of a polynomial equation. Here, the given equation is a fourth-order characteristic equation, so we can use the roots function in MATLAB as follows:

roots([1 24 249 996 29800])The roots of the fourth-order characteristic equation are -49.69, -12.48, -0.83, and -0.40.Therefore, the dominant roots (i.e. closest to the origin) are -0.83 and -0.40.The formulas for the system's time constant, damping ratio, and oscillation frequency are as follows:

Time constant = 1/abs(real(dominant pole))Damping ratio = -real(dominant pole)/abs(dominant pole)Oscillation frequency = abs(imag(dominant pole))Therefore, the system's time constant is 1.20, damping ratio is 0.94, and oscillation frequency is 0.55.
To find the roots of the given fourth-order characteristic equation using MATLAB, use the 'roots' function.

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There are a total of 8 relations on the set {1,2,3}.

A relation on a set is a subset of the Cartesian product of the set with itself. In other words, a relation on a set is a set of ordered pairs, where each ordered pair consists of two elements from the original set.

The Cartesian product of the set {1,2,3} with itself is {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)}.

Each relation on the set {1,2,3} is a subset of this Cartesian product. Since there are 9 elements in the Cartesian product, there are 2^9 = 512 possible subsets, and therefore 512 possible relations on the set {1,2,3}.

However, we are only interested in the relations that include all three elements of the original set. There are 8 such relations, which are:

1. {(1,1), (2,2), (3,3)}
2. {(1,2), (2,3), (3,1)}
3. {(1,3), (2,1), (3,2)}
4. {(1,1), (2,3), (3,2)}
5. {(1,2), (2,1), (3,3)}
6. {(1,3), (2,2), (3,1)}
7. {(1,1), (2,1), (3,1)}
8. {(1,2), (2,2), (3,2)}

So the answer is 8 relations on the set {1,2,3}.

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Answer:

1,036,800 in year 2018

Step-by-step explanation:

20% of 600,000 is 120,000

120,000+600,000=720,000

720,000 in year 2016

20% of 720,000 is 144,000

720,000+144,000=864,000

864,000 in year 2017

20% of 864,000 is 172,800

172,800+864,000=1,036,800

1,036,800 in 2018

Answer:

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

hope this helps :)

1/6

divide both by 2 and you get 1/6

Answer: m∠EFG = 70

Step-by-step explanation:

m∠EFG = 2x35

m∠EFG = 70

In conclusion the answer is 70

Answer:nnjjj

Step-by-step explanation:

To find the volume, evaluate the double integral V = ∫[0 to 4] ∫[8-2y to 0] (cy²) dx dy, where c is a constant, over the region bounded by a = y² and x + 2y = 8.

To find the volume, we need to set up a double integral for the region bounded by the curves. The integral is evaluated over the limits of integration and the result will give the volume of the region under the surface.

To find the volume of the region under the surface z = cy² and above the area bounded by a = y² and x + 2y = 8, we need to set up a double integral.

First, let's find the limits of integration for x and y.

From the equation a = y², we can solve for y:

y = √a

From the equation x + 2y = 8, we can solve for x:

x = 8 - 2y

Now, we need to determine the bounds for integration.

For y, we can integrate from the lower limit to the upper limit of y², which is 0 to 4 (since 8 - 2y = 0 gives y = 4).

For x, we can integrate from the lower limit to the upper limit of 8 - 2y.

The volume V can be calculated using the following double integral:

V = ∬ D (cy²) dA

where D represents the region bounded by the given curves.

Therefore, the volume can be computed as:

V = ∫[0 to 4] ∫[8-2y to 0] (cy²) dx dy

Evaluating this integral will give the volume of the region under the surface z = cy² and above the area bounded by a = y² and x + 2y = 8.

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Answer:

1.5° per day

Step-by-step explanation:

Given that :

Total temperature change = drop by 12°

Number of days for the change = 8 days

Rate at which temperature changed is constant

Change in temperature per day :

Total change in temperature / number of days

12° / 8

= 1.5° per day

Answer:

Step-by-step explanation:

We may not be able to fit 16 cases in the box because their combined volume will be greater than the box which will make it impossible.

The dimensions of the big box is given as:

Length= 26 cm

Breadth= 15 cm

Height= 20 cm

So its volume can be calculated by:

Volume= Length x Breadth x Height

Volume= 26 cm x 15 cm x 20 cm

Volume1= 7800 cm³

Now, the dimension of one disc case is given as:

Length= 1.6 cm

Breadth= 14.2 cm

Height= 19.3 cm

The volume of one disc case will be:

Volume= 1.6 cm x 14.2 cm x 19.3 cm

Volume= 438.496 cm³

So, volume of 16 disc cases= 16 X volume of one disc case

Volume2= 16 x 438.496 cm³

Volume2= 7015.936 cm³

Since Volume1 < Volume2

So, 16 disc cases cannot be fit into a box.

Answer:

141 minus 3 equals 123

Step-by-step explanation:

Answer:

Step-by-step explanation:

   well  you can work  20 hours at your house cleaning job  which would immediately give you enough to pay your bills   or you can work 15 hours at your sales job in order to pay your bills

or you could work 10 hours house keeping and 7.5 hours doing sales  

all are possible solutions  that would work      

The correct interpretation of the confidence interval is: "We can estimate with 95% confidence that the true population mean pizza delivery time is between 33.78 and 38.22 minutes."

The confidence interval represents a range of values within which the

population mean delivery time is likely to fall, based on the sample data.

It does not provide information about the delivery times of individual pizzas

or restaurants.

The confidence level refers to the percentage of times that the true

population mean would be expected to fall within the interval if the same

sampling procedure were repeated many times.

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Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.

Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j

Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).

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Using cos 2A formula, cos α = ±√(1 + cos 2α)/2 can be derived.

Starting with the double angle formula for cosine, which is:

\(cos 2A = cos^2A - sin^2A\)

We can rewrite this equation as:

\(cos^2A = cos 2A + sin^2A\)

Adding 1/2 to both sides, we get:

\(cos^2A + 1/2 = (cos 2A + sin^2A) + 1/2\)

Using the identity \(sin^2A + cos^2A\) = 1, we can simplify the right-hand side to:

\(cos^2A + 1/2\)= cos 2A+1/2

Now, we can take the square root of both sides to get:

\(cos A = ±√[(cos^2A + 1/2)] = ±√[(1 + cos 2A)/2]\)

This shows that cos α can be expressed in terms of cos 2α using the double angle formula for cosine. Specifically, cos α is equal to the square root of one plus cos 2α, divided by two, with a positive or negative sign depending on the quadrant in which α lies.

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Answer: B

Step-by-step explanation:

She was 3.8 minutes faster, so you take Stephanie's time and subtract the 3.8 minutes.

Answer:

as a decimal it is 0.166667 as a percent it is 16.666667%.

The solution is, the table is, for, x= 0, 1, 2, we get, y= 0, 6, 16.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that,

y = 2x² + 4x

now, for, x= 0 , y = 0

for, x= 1, y = 6

for, x= 2, y = 16

Hence, The solution is, the table is, for, x= 0, 1, 2, we get, y= 0, 6, 16.

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