Factorize: x^2y^2+4xy+4​

A pentagon has a 41.5 cm circumference, and its sides are each 8.3 cm long.

When you already know the value of one side, calculating the perimeter of a pentagon is made much simpler. The five sides of each pentagon are equal. If the length of one side is given to you.

Since a pentagon has five sides, we will abbreviate each side's length as "s". The lengths of all five sides add up to the perimeter of the pentagon, allowing us to formulate the following equation:

5s = 41.5

We must put "s" on one side of the equation alone in order to solve for it. Divide both sides by 5 to do this: s = 8.3

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Answer:

99.7% of IQ scores are between 46 and 148.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 97, standard deviation of 17.

What percentage of IQ scores are between 46 and 148?

97 - 3*17 = 46

97 + 3*17 = 148

Within 3 standard deviations of the mean, so:

99.7% of IQ scores are between 46 and 148.

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

huh i dont get it

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if u add al of these it equals 35 divided by 7 equals 5

Let \(f(x) = x^3 + 3x + \sin(x) - 5\). Using Newton's method to approximate a solution to \(f(x) = 0\), we consider the recurrence

\(\begin{cases} x_1 = 1 \\ x_{n + 1} = x_n - \frac{f(x_n)}{f'(x_n)} & \text{for } n \ge 1 \end{cases}\)

Differentiating \(f(x)\) gives

\(f'(x) = 3x^2 + 3 + \cos(x)\)

Then

\(x_2 = 1 - \dfrac{f(1)}{f'(1)} = 1 + \dfrac{1 - \sin(1)}{6 + \cos(1)} \approx 1.024238790\)

\(x_3 = x_2 - \dfrac{f(x_2)}{f'(x_2)} \approx 1.024009549\)

\(x_4 = x_3 - \dfrac{f(x_3)}{f'(x_3)} \approx \boxed{1.024009528}\)

which agrees numerically with the actual root of \(f(x)\) up to at least 9 digits after the decimal point.

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

The pair of possible coordinates of point D are (0, 8), (0, -8), (8, 0) and (-8, 0)

From the question, we have the following parameters that can be used in our computation:

D = 8 units away from the origin.

using the above as a guide, we have the following:

The possible coordinates of point D are

(0, ±8), (±8, 0)

When expanded, we have

(0, 8), (0, -8), (8, 0) and (-8, 0)

Hence, the pair of possible coordinates of point D are (0, 8), (0, -8), (8, 0) and (-8, 0)

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Answer: The two numerical expressions that correctly represent the phrase "twice the sum of nine and four" are:

2 * (9 + 4) = 2 * 13 = 26

2(9 + 4) = 2(13) = 26

Both expressions use the correct mathematical operations to represent the phrase "twice the sum of nine and four" and both will yield the same result of 26.

Step-by-step explanation:

Answer:

it's 13

√144+25=13

good luck

Answer:

it will be a vertical line and have a undefined slope

Answer:

The equation represents a linear function.

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Answer:

(x-7)^2 + y^2 = 9

Step-by-step explanation:

Equation of a circle:

(x-h)^2 + (y-k)^2 = r^2

(x-7)^2 + (y-0)^2 = 3^2

(x-7)^2 + y^2 = 9

The standard deviation of the sampling distribution is approximately 0.3292.

The behaviour of the sampling distribution of the mean is described by the central limit theorem, a key conclusion in statistics. It asserts that regardless of how the population distribution is shaped, if a random sample of size n is taken from a population with mean and standard deviation, the distribution of sample means will tend towards a normal distribution as n increases.

Because it enables us to utilise the normal distribution to draw conclusions about the population mean based on sample means, the central limit theorem has significant practical ramifications. Additionally, it offers a foundation for confidence interval estimation and statistical hypothesis testing.

The standard deviation is given by the formula:

SD = σ/√(n)

Now, substituting the value of σ = 40, n = 147,400 we have:

SD = σ/√(n) = 40/√(147400) ≈ 0.3292

Hence, the standard deviation of the sampling distribution is approximately 0.3292.

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The statement C which is |-1| < |-2| is true among the four statements. So option C is correct.

In the given question we have four options. Let's see which option is correct.

Given option A is |-2| < |1|. We know that for absolute values whatever the value is inside, the outer value is always positive. So, it states 2 < 1. It is not possible. So, option A is incorrect.

Similarly for option B,

|1| < |0| = 1 < 0.

The above option is also not possible. So, the option B is incorrect.

For option C,

|-1| < |-2| = 1 < 2.

The above condition is true. So the correct option is C.

For option D,

|1| > |-2| = 1 > 2.

The above option is also not possible. So, the option D is also incorrect.

From the above analysis, we conclude that the option C is the true statement.

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The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

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The height of the tower from which the object was shot is 10

The height of the tower is shown in the graph as 10, since the curves begins from there.

Being a girl and playing a sport are C. No, they are not independent events, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62.

Let's consider the probabilities:

P(girl) = (number of girls) / (total number of students) = 135 / 275 ≈ 0.49

P(girl plays a sport) = (number of girls playing a sport) / (total number of students) = 76 / 275 ≈ 0.276

If being a girl and playing a sport were independent events, the joint probability would be the product of the individual probabilities:

P(girl) × P(girl plays a sport) ≈ 0.49 × 0.276 ≈ 0.13524

However, the actual joint probability is different from the expected value:

P(girl, plays a sport) ≈ 76 / 275 ≈ 0.276

Since the joint probability does not match the product of the individual probabilities, we can conclude that being a girl and playing a sport are not independent events based on the given data.

Therefore, option C. No, they are not independent, because P(girl) 0.49 and P(girl plays a sport) ~ 0.62. is the correct answer.

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The area of the rectangle will be 150 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that:-

The area will be calculated as follows:-

From the given condition in the question, we can form two linear equations they are:-

The length of a rectangle is 5 m longer than its width.

L = w + 5

L - w = 5

The perimeter of the rectangle is 50 m.

P = 2 (L + w )

2 ( L+ w ) = 50

L + w = 25

by solving the two equations we will get the values of L and w.

L - w = 5  or w = L - 5

L + w = 25

L + L - 5 = 25

2L = 30

L = 30 / 2

L = 15

Put the value of L in any equation to get w.

L - w = 5

15 - w = 5

w = 10

Now the area of the rectangle will be:-

A = L x w

A = 15 x 5

A = 150 square meters.

Therefore the area of the rectangle will be 150 square meters.

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Answer: 36/12 = 3

Step-by-step explanation:

Answer:

The expression should be something like: 36/12

Answer:

1. Reason = Angles forming a linear pair sum to 180

2. Step = m<QTR+ m<RTS = 180

3. reason = transitive property of equality

4. step = m<PTQ = m<RTS. reason = subtraction property of equality

Answer:

Step-by-step explanation:

area = Area of rectangle 1 + area of rectangle 2 + area of rectangle 3 + area of triangle

=5 * 12 + 5*5 + 2*3 + (1/2)* 4 * 3

= 60 + 25 + 6 +6

= 97

Answer:

x2 – x + 4

Step-by-step explanation:

Just took the test on edg

Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

The required measure of Street K between Street C and D is 337.5 ft.

Step-by-step explanation:

Given that,

In a certain city, E Street, W Street, C Street, and D Street are parallel streets that intersect K Street and M Street. How long is K Street between C Street and D Street is to be determined.

here,

Let the distance of street K between C and D be x,

Now,

Taking the equality of the proportionality expression of triangles,

600 / 400 = 600 + x / 400 + 250

6 / 4 = 600 + x / 625

3750/4 = 600 + x

937.5 = 600 + x

x = 337.5

Answer:

\(period \: of \: sin(2x) = \pi \\ period \: of \: cos \frac{x}{4} = 8\pi \\ period \: of \: tan \frac{x}{3} = 3\pi\)

Step-by-step explanation:

Hello !

\(periodicity \: of \: a.sin(bx + c) + d = \\ \frac{periodicity \: of \: sin(x)}{ |b| } \\ periodicit \: of \: sin \: (x) \: is \: 2\pi = \\ \frac{2\pi}{2} \: simplify = \pi \\ periodicity \: of \: a.cos(bx + c) = \\ \frac{periodicity \: of \: cos(x)}{ |b| } \\ periodicit \: of \: cos \: (x)is \: 2\pi = \\ \frac{2\pi}{1\frac{1}{4} } \: simplify \: = 8\pi \\ periodicity \: of \: a.tan(bx + c) = \\ \frac{periodicity \: of \: tan(x)}{ |b| } \\ periodicity \: of \: tan(x) \: is \: \pi \\ \frac{\pi}{} \frac{1}{3} \)

Option B is correct, the function f(x) = -7x² - x + 2  represents a quadratic function

A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to zero.

f(x) = -7x² - x + 2 is a quadratic function because it is of the required form.

Specifically, it has a quadratic term (-7x²), a linear term (-x), and a constant term (2).

The other three functions do not have a quadratic term and thus are not quadratic functions.

f(x) = 2x³ + 2x² - 4 is a cubic function because it has a cubic term (2x³).

f(x) = -3x + 2 is a linear function because it has only a linear term (-3x) and a constant term (2).

f(x) = 0x² + 3x - 3 is also a linear function because it has no quadratic term and only a linear term (3x) and a constant term (-3).

Hence, the function f(x) = -7x² - x + 2  represents a quadratic function

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