Find all the zeroes of the polynomial x^4 − 3x^3 + 6x − 4 , if two of its zeroes are √2 and −√2 . Thanks​

Answer:

8 + n

Step-by-step explanation:

I’m not sure if I understood the question all the way

the answer is -2 i think boiiiii

Answer:

C. 360 cm²

Step-by-step explanation:

The total surface area of a square based pyramid is calculated by adding the area of the base (which is a square) and the areas of the four triangular faces. The area of the base is 10 cm x 10 cm = 100 cm². The area of each triangular face is 1/2 x base x height, so the total area of all four faces is 1/2 x 10 cm x 10 cm x 12 cm = 600 cm². Therefore, the total surface area of the pyramid is 100 cm² + 600 cm² = 700 cm² = 360 cm².

Answer:

p = ± q / 5r + 8; Option D

Step-by-step explanation:

We are given the following equation; q^2 / p^2 - 16p + 64 = 25r^2;

q^2 / p^2 - 16p + 64 = 25r^2 ⇒ Let us factor p^2 - 16p + 64, as such,

p^2 - 16p + 64,

( p )^2 - 2 * ( p ) * ( 8 ) + ( 8 )^2,

( p - 8 )^2 ⇒ Now let us substitute this into the equation q^2 / p^2 - 16p + 64 = 25r^2 in replacement of p^2 - 16p + 64,

q^2 / ( p - 8 )^2 = 25r^2 ⇒ multiply either side by ( p - 8 )^2,

q^2 = 25r^2 * ( ( p - 8 )^2 ) ⇒ divide either side by 25r^2,

q^2 / 25r^2 = ( p - 8 )^2 ⇒ Now apply square root on either side,

| p - 8 | = √( q^2 / 25r^2 ) ⇒ Simplify,

| p - 8 | = q / 5r,

| p | = q / 5r + 8,

Answer; p = ± q / 5r + 8; Option D

Answer:

Step-by-step explanation:

3x -2=5(2x+1)

3x-2=10x+5

10x-3x=-2-5

7x=-7

x=-1

Answer:

Kite and Arrowhead

Step-by-step explanation:

It’s asking for “No pairs of parallel sides”

meaning no Parallel sides. It can’t be Trapezium because it has one pair of parallel sides. {The question is asking for shapes with no parallel sides}

Thank you

Answer:

The height of the square pyramid is 9.8 in.

Step-by-step explanation:

Given;

area of the square pyramid, A = 96 in²

base length, a = 4 in

height of the pyramid, h = x in

The surface area of the pyramid is calculated as follows;

\(SA = a^2 + 2a \sqrt{\frac{a^2}{4} + h^2} \\\\96 = 4^2 + 2(4)\sqrt{\frac{4^2}{4}+ x^2} \\\\96 = 16 + 8\sqrt{4+ x^2} \\\\96-16 = 8\sqrt{4+ x^2}\\\\80 = 8\sqrt{4+ x^2}\\\\\frac{80}{8} = \sqrt{4+ x^2}\\\\10 =\sqrt{4+ x^2}\\\\ (10)^2 = 4+ x^2\\\\100 = 4 + x^2\\\\ x^2 = 100-4\\\\x^2 = 96\\\\x = \sqrt{96} \\\\x = 9.80 \ in\)

Therefore, the height of the square pyramid is 9.8 in.

Answer:

Step-by-step explanation:

Base angles are congruent.

\(\tt y=128^o\)

Let's solve for x first:-

\(\tt x+y=180^o\)

\(\tt x=180-y\)

\(\tt x=180-128\)

\(\tt x=52^o\)

Therefore, x = 52° and y = 128°

_________________

Hope this helps you!

Have a nice day! :)

Step-by-step explanation:

f(x) = 3x + 2

g(x) = 4x

= f(x) + g(x)

= 3x + 2 + 4x

= (3 + 4)x + 2

= 7x + 2

(f+g)(x) = 7x + 2

3/6 = (3/3)*(1/2)

6/16 = (2/2)*(3/8)

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

The probability that more than 72% of the sampled UCF students will vote in the presidential election is approximately 0.0712.

To find the probability, we need to use the binomial distribution formula. Let's denote the proportion of UCF students who will vote in the presidential election as p, which is given as 70% or 0.7. We also know that the sample size is 1250 students.

The binomial distribution formula is:

P(X > k) = 1 - P(X ≤ k)

Where X is the number of students who will vote in the presidential election, and k is the number of students we want to find the probability for (in this case, more than 72% of the sampled students).

To calculate the probability, we need to determine the mean and standard deviation of the binomial distribution. The mean (μ) can be calculated as μ = n * p, where n is the sample size and p is the proportion of students who will vote. In this case, μ = 1250 * 0.7 = 875.

The standard deviation (σ) can be calculated as σ = sqrt(n * p * (1 - p)). In this case, σ = sqrt(1250 * 0.7 * 0.3) ≈ 21.21.

Now, we can standardize the value of k using the z-score formula: z = (k - μ) / σ. For k = 0.72 * 1250 = 900, z = (900 - 875) / 21.21 ≈ 1.18.

Using a standard normal distribution table or a calculator, we can find the probability associated with z > 1.18, which is approximately 0.1193.

Finally, by subtracting this probability from 1, we get the probability that more than 72% of the sampled students will vote in the presidential election: 1 - 0.1193 ≈ 0.8807.

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The solution to the integral using Green's Theorem is zero. Green's Theorem states that the line integral of a vector field F over a simple, closed path C is equal to the double integral of the curl of F over the region enclosed by C.

In this case, the vector field F is (focos(2y), -2sin(2y)) and the region enclosed by C is any positive oriented, simple, closed path in the plane. The curl of F is zero, so the double integral of the curl of F over the region enclosed by C is also zero. Therefore, the line integral of F over C is zero.

Note that the value of the integral depends on the path C. If C is not a simple, closed path, or if it is not positively oriented, then the value of the integral will not be zero.

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Answer:

Five less than the number than....... 8/n - 5 +7

Eight more than the product........ 8 +7n - 2

Five times the sum..... 5(n+7)

Twice the difference.... 2 (8-n)

Answer:

Blue:

\( \frac{8}{n} - 5 + 7\)

Green:

\(8 + 7n - 2\)

Orange:

\(5(n + 7)\)

Purple:

\(2(8 - n)\)

This is an algebraic word problem and it has a solution of $120 which is Jonathan's pocket money for each month.

In algebraic word problems, we can represent an unknown number using letters and then carry out basic mathematics operations to get the value of the unknown number.

We shall represent Jonathan's pocket money for each month with the letter x so that;

In July he saved: x - $80 and in August he saved x - $72

Since his savings increased by 20%, then;

x - $72 + x - $80 = (20/100)(x - $80)

2x - $252 = (1/5)(x - $80)

5(2x - $252) = x - $80 {cross multiplication}

10x - $1260 = x - $80

10x - x = $1260 - $80 {collect like terms}

9x = $1080

x = $1080/9 {divide through by 9}

x = $120.

Therefore, the agebraic word problem have a solution of $120 which is Jonathan's pocket money for each month.

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Answer:

75m

Step-by-step explanation:

Answer:

I will be your human calculator! top to bottom!

1. (+1)     5. (+28)  9. (+8)

2. (+4)    6. (+3)   10. (-5)

3. (+14)   7. (+24) 11. (+6)

4. (-3)      8. (-3)     12. (+1)!    Good Luck!

Answer:

l = 40 m

Step-by-step explanation:

The formula for area of a rectangle is

A = lw, where

Step 1:  Since we're given the area and width, we plug in these two values for A and w and to solve for l (length):

360 = 9l

Step 2:  Divide both sides by 9 to solve for l

(360 = 9l) / 9

40 m = l

Optional Step 3:  We can check our answers by checking that the product of 40 and 9 is 360

40 * 9 = 360

360 = 360

Answer:

-4 ≤ x ≤ 6

Step-by-step explanation:

left-most point is at (-4,-4) and right-most point is at (6,4)

domain is only concerned with the x-values

so the domain is between -4 and 6, inclusive

proof:

CD= radius r

OC=OD= radius

OCD is equilateral triangle

∠DCO=∠COD=∠ODC=60  degrees

∠ACB=90  degrees

 (Angle in semicircle)

∠DOC=2∠DBC (half angle)

∠DBC=30  degrees

∠ECB+∠BCA=180  degrees

 (linear pair)

∠ECB=180−90=90  degrees

In △ECB

∠CEB+∠ECB+∠CBE=180  degrees

∠CEB+90+30=180

∠CEB=60  degrees

*This is the full proof and ask me questions in comments if you have anything you don't understand! Also I would appreciate if you give me brainlliest!!

The answer is The third angle measures 120 degrees

Step-by-step explanation:

I know this because a triangle has angle sum of 180 and so if you know two of the sides then you can add them together; 30+30 = 60 then substract it from 180; 180-60 and that would equal 120 degrees.

Answer:I think it's C although I might be wrong

Step-by-step explanation:

Answer: B

Hope this helps :)

A graphing calculator can be a useful tool for solving systems of linear equations because it is fast, accurate, and can handle more complex equations.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

A graphing calculator can be a useful tool for solving systems of linear equations because it can provide a quick and accurate visual representation of the solution.

Here are some reasons why someone might choose to use a graphing calculator instead of graphing by hand:

Speed:   Graphing by hand can be time-consuming, especially for more complex systems of equations.

Accuracy: When graphing by hand, it's easy to make mistakes in plotting points or drawing lines, which can lead to errors in the final solution

Multiple solutions: When dealing with systems of equations with multiple solutions, graphing by hand can be difficult and time-consuming.

Complex equations: Graphing by hand can become very challenging for systems of equations with more than two variables or for nonlinear equations.

Hence, a graphing calculator can be a useful tool for solving systems of linear equations because it is fast, accurate, and can handle more complex equations.

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To find the root of the function f(x) = cos x - 3x + 1 using the fixed-point method, we consider the equivalent equation x = (1 + cos x).

By defining the function g(x) = (1 + cos x) and observing that g'(0)| < 1, we can use the fixed-point iteration x₂ = g(xn-1), with xo = 0, to approximate the root. The desired result, x, estimating the root of f(x) to three significant digits, can be obtained by iterating the fixed-point method until convergence.

The fixed-point method aims to find the root of a function by converting it into an equivalent fixed-point equation. In this case, the function f(x) = cos x - 3x + 1 is transformed into the equation x = (1 + cos x). The function g(x) = (1 + cos x) is chosen as the iterative function for the fixed-point method.

To ensure convergence of the fixed-point iteration, we need to check the magnitude of g'(x). Evaluating g'(x) at x = 0, we find that g'(0)| < 1, indicating convergence.

To estimate the root of f(x) to three significant digits, we initialize the iteration with xo = 0 and apply the fixed-point iteration: x₂ = g(x₁), x₃ = g(x₂), and so on, until convergence. The result, x, obtained from the iteration process, will approximate the root of f(x) with the desired precision.

By performing the fixed-point iteration with sufficient iterations, we can obtain the value of x to eight decimal places, ensuring accuracy up to three significant digits in the estimated root of f(x) = cos x - 3x + 1.

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Answer:

x=50

Step-by-step explanation:

all you do is bring the like terms to the same side.

to bring 2x to 3x you need to change the sign so now it's 3x-2x which equals x.

then to bring -2 to 48, you change the sign of -2 so now it's 2+48 which equals 50!

hope this helped! im not sure if i explained it well or not .

Answer:

=50

Step-by-step explanation:

-2+3x=2x+48

48+2=2x-3x

50=x

therefore, x = 50

Jay is incorrect in doing addition first.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given the expression as;

3x (3 +12 divided by 3) -4.

To simplify this expression, then must follow PEMDAS.

3x(3+12÷3)

3x(3+4)

3x(7)

21x

Which means that Jay is incorrect in doing addition first.

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Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

To create a structured NumPy array, remove the header row and specify data types, including Unicode of length 30 characters, for each column.

The initial NumPy array created in task 1 is considered unstructured because the data type for each value was determined by NumPy, and it also includes an unnecessary header row.

To convert it into a structured array, the header row needs to be removed. Additionally, the data types for each column should be explicitly specified. For float values, the data type "float" can be used, while for specific columns indicated by indexes, the data type should be "U30" to represent Unicode strings of length 30 characters.

By removing the header row and defining the appropriate data types, the resulting structured NumPy array will have consistent data types and exclude the unnecessary header, making it suitable for further analysis and computations.

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According to the textbook, polygraph testing (lie detection) screening is prohibited as a condition of employment outside of government jobs, which means option (a) is correct.

The use of polygraph testing, also known as lie detection, as a screening tool for employment purposes is generally restricted. The rationale behind this restriction is based on concerns regarding the reliability and validity of polygraph tests in accurately detecting deception. Polygraph testing has been found to have limitations, as false positives and false negatives can occur, leading to inaccuracies in the results.

Due to these concerns, many jurisdictions have implemented legal restrictions on the use of polygraph testing in employment settings. It is important to note that there may be certain exceptions to this general prohibition. In some cases, such as certain high-security government positions or jobs that involve protecting the public from potential harm, polygraph testing may be permitted based on a countervailing need.

However, in the broader context of employment screening, polygraph testing is generally prohibited outside of government jobs.

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Answer:

5 1/3

Step-by-step explanation:

2÷3/8=

2*8/3=5 1/3

Answer:

The quotient is 5 and 1/3

Step-by-step explanation:

I hope this helps!

Answer:

y=kxz

80=k(8)(5)

k=2 is the answer

y=kxz

y=2(3)(11)

y=1,089 is the answer