1. What is the solution set of the equation below?
2.x – 3) = 11

Answer:

Is Square Root of 25 Rational or Irrational?  

Step-by-step explanation:

A rational number can be expressed in the form of p/q. Because √25 = 5 and 5 can be written in the form of a fraction 5/1. It proves that √25 is rational.

The answer is:

Work/explanation:

What are rational numbers?

Rational numbers are integers and fractions.

Irrational numbers are numbers that cannot be expressed as fractions, such as π.

Now, \(\bf{\sqrt{25}}\) can be simplified to 5 or -5; both of which are rational numbers.

The table should be completed for given function rule  as follows;

x   -4     -2      0      2      4

y    17    13      9      5      1

In order to use this linear function f(x) = -2x + 9 to determine the missing values in the table, we would have to substitute each of the values of x (x-values) into the linear function and then evaluate as follows;

When the value of x = -2, the linear function is given by;

f(-2) =  -2(-2) + 9

f(-2) = 13.

When the value of x = 0, the linear function is given by;

f(0) =  -2(0) + 9

f(0) = 9.

When the value of x = 2, the linear function is given by;

f(2) =  -2(2) + 9

f(2) = 5.

When the value of x = 4, the linear function is given by;

f(0) =  -2(4) + 9

f(0) = 1.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The area of the parallelogram in square units will be 24 square units.

Given that:

Height, H = 4 units

WIdth, W = 6 units

Let H be the height and W be the width of the parallelogram. Then the area of the parallelogram will be given as,

Area of the parallelogram = H × W square units

The area of the parallelogram is calculated as,

A = 4 x 6

A = 24 square units

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The missing diagram is given below.

The Length of AD is 78 cm.

From the figure, G is Centroid.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

The centroid of the triangle separates the median in the ratio of 2: 1.

Centroid divides median in the ratio 2:1 .

As per the given data AG = 52

2 parts is 52 .

3 parts is (52 × 3 )/2= 78

Therefore, the length of AD is 78.

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Answer:

2.18 I think this is the answer sorry if it's not-

Answer:

2,1044 is the correct answere

Answer:

the answer is D hope that help

Answer:

The answer is D

Step-by-step explanation:

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

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Answer:

She ran 28 miles cause if you add 17 and 11 you get 28! Hope this helped!

Step-by-step explanation:

Answer:

Step-by-step explanation:

aaychchdgfugifhfdfddzrs

The number of ways the class can choose the representatives is 17160.

The correct option is D.

This problem involves selecting a group of four people from a group of thirteen.

There are 13 choices for the first position, 12 choices for the second position, 11 choices for the third position, and 10 choices for the fourth position.

Therefore, the number of ways the class can choose the representatives is:

13 x 12 x 11 x 10 = 17,160

So, the answer is D.

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Answer:

D

Step-by-step explanation:

Answer:

The class average is 83.6

Step-by-step explanation:

:D

Answer:

WHEN THE SUNN DONT SHINE U SHINE SUM OREEEE IM ALMOST THEREE!1!!! ALMOST THEREEE AWNSER 83.7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2.

First off, for the radius to be 8, r^2 must be 64 so only a and c are plausible. Now, the coordinates for the centre is at (h, k). So the first one is the answer.

Answer:(-5,4)

Step-by-step explanation:

Answer:

A. the degree is 4         11x^4-4x^2-12

B. The degree is 5        2x^5-3x^4+3x^3+7x+14

Step-by-step explanation:

The degree is always the highest or greatest exponent in the polynomial. To rearrange the polynomial put it in descending order from highest exponent to lowest exponent with x as an exponent of 1

(a). The equation of the exponential function is given as f(x) = abx, where b is a fraction between 0 and 1.

(b). The range of g(x) is (5, infinity).

(a). As per data the graph of the exponential function h(x) below, the following are the details below:

Equation of asymptote: y = 3

Critical point: (1, 3)

This graph is showing exponential decay.

In the graph given above, the value of y does not go below 3. Thus, 3 is the equation of the horizontal asymptote in this graph. It implies that as the value of x becomes very large, the value of h(x) gets close to 3.

The point at which the graph changes its direction, is called the critical point. The graph of the given exponential function is shown in the above figure. The critical point of the graph is (1, 3).

The graph is an example of exponential decay since the graph is decreasing from left to right.

The equation of the exponential function is f(x) = abx, where b is a fraction.

(b). The graph of g(x) = log2 (x + 3) + 5 is shown in the figure below.

Two points about the graph of the given function are given below:

Intercepts: The x-intercept of the graph of g(x) is -3 and the y-intercept of the graph of g(x) is (0, 6).

Domain and range: The domain of g(x) is (-3, infinity) and the range of g(x) is (5, infinity).

As per data the function is,

g(x) = log2(x + 3) + 5.

On the graph of g(x), the x-intercept is -3 and the y-intercept is (0, 6).The domain of the given function g(x) is the set of all the values that can be taken by x. As x + 3 must be positive, hence x + 3 > 0 ⇒ x > -3.

The range of the given function g(x) is the set of all the values that can be taken by y. As the base of the logarithmic function is 2, the given function has a minimum value of 5, which occurs when x = -3.

Therefore, the range is (5, infinity).

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Answer:

B

Step-by-step explanation:

Here, we want to calculate the square root of -√- (75)

That will be

-√(25)(-3)

= -5 √(-3)

√(-3) is same as 3i

So we have the root as;

-5i√3

All of the overlapping batch means for me is (66.3, 69.0).

Given observations:

54 70 75 62

From the given data, if we choose a batch size of 3, then calculating all of the overlapping batch means for me in total

that is :

= 1/3 * (54 + 70 + 75)

= 66.3

and

= 1/3 * (70 + 75 + 62)

= 69.0

So often, the option c is correct from the given

that is 66.3, 69.0

Hence the answer is all of the overlapping batch means for me is (66.3, 69.0).

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Answer: 12xy + 12xyz

Step-by-step explanation:

15xyz - 3xyz = 12xyz + 12xy

Answer

look at the pic below

Step-by-step explanation:

Answer:Amount of blue paints used to paint bedroom walls=1.48 pints

Step-by-step explanation:

total pints of white paint and blue paint = 7.4 pints

Amount of white paint=4/ 5 x 7.4 pints=5.92pints

Amount of blue paints used to paint bedroom walls=total pints of paints used -Amount of white paint used

= 7.4 pints-5.92pints

=1.48pints

The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).

A derivative is known to be a tool that help us to know the altering relationship that between two variables. The derivative formula is known to be ddx. xn=n.

Note that:

F¹(x) =  e^sinx - cosx - 1

Set:

F¹(x) > 0

e^sinx  > cosx - 1

0.633 < x < 4.155  and 6,916 < x < 9

So, if you look at the equation, the option that fits into the equation is option c:

Therefore, The option that shows that the derivative of a function as well as its intervals is decreasing is option C (Image attached).

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The answer is, the output of the print statement in the given pseudo-code program will be 4.

The output of the print statement in the given pseudo-code program will be 2.

The given pseudo-code program is:

x = sqr(f(1))

print x

def sqr(x)

a = x * x

return a def f(x)

return 2 * x

We need to find the output of the print statement.

For that, we have to look into the program and evaluate the expressions one by one:

At first, we call the function f(1), which returns 2 * 1 = 2.

Then we pass this value 2 to the function sqr().

The function sqr() calculates the square of the input parameter and returns it.

In our case, sqr(2) will return 2 * 2 = 4.

Now we assign this returned value 4 to the variable x , Hence x = 4.

Finally, we print the value of x, which is 4.

Therefore the output of the print statement is 4.

In conclusion, the output of the print statement in the given pseudo-code program will be 4.

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a) Find the final value of f(t) using the final value property.

To find the final value of f(t) using the final value property, apply the following formula:

$$ \lim_{s \to 0} sF(s) $$Let's start by finding sF(s):$$F(s) = \frac{2}{s(s-1)(s+2)} = \frac{A}{s} + \frac{B}{s-1} + \frac{C}{s+2} $$

Simplifying the right-hand side expression:$$ A(s-1)(s+2) + B(s)(s+2) + C(s)(s-1) = 2 $$

Substitute the roots of the denominators into the equation above and solve for A, B and C.To solve for A,

substitute s = 0:$$ A(-1)(2) = 2 \Rightarrow A = -1 $$

To solve for B, substitute s = 1:$$ B(1)(3) = 2 \Rightarrow B = \frac{2}{3} $$

To solve for C, substitute s = -2:$$ C(-2)(-3) = 2 \Rightarrow C = \frac{1}{3} $$

Therefore, we have:$$F(s) = \frac{-1}{s} + \frac{2}{3(s-1)} + \frac{1}{3(s+2)} $$

Now we can find sF(s):$$sF(s) = \frac{-1}{1} + \frac{2}{3} \cdot \frac{1}{s-1} + \frac{1}{3} \cdot \frac{1}{s+2} $$

Therefore, the final value of f(t) is:$$ \lim_{s \to 0} sF(s) = \frac{-1}{1} + \frac{2}{3} \cdot \frac{1}{-1} + \frac{1}{3} \cdot \frac{1}{2} = \boxed{\frac{4}{3}} $$

(b) If the final value is not applicable, explain why. The final value is not applicable if there is a pole in the right half of the complex plane. In this case, there are no poles in the right half of the complex plane, so the final value property applies.

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Answer:

\(V=20.85\ m^3\)

Step-by-step explanation:

Given that,

The vessel is in the the form of a hemispherical bowl mounted by a hollow cylinder.

The diameter  of the sphere is 3.5 m.

The height of the cylinder is 2 m

Height of the cylinder = Height of bowl− Radius of hemisphere

= 2 - (3.5/2)

= 0.25 m

The volume of the vessel is given by :

V = volume of hemispherical bowl + volume of cylinder

So,

\(V=\dfrac{2}{3}\pi r^3+\pi r^2 h\\\\V=\dfrac{2}{3}\times \dfrac{22}{7}\times (\dfrac{3.5}{2})^3+\dfrac{22}{7}\times (3.5)^2\times 0.25\\\\V=20.85\ m^3\)

So, the volume of the vessel is \(20.85\ m^3\).

The given parabolic equation is y = 4x - x² and the point is (1, 3). We are to determine the slope of the tangent line at (1, 3) and then obtain an equation of the tangent line.  we must first calculate the derivative of the given equation.

We can do this by using the power rule of differentiation. The derivative of x² is 2x. So the derivative of y = 4x - x² is dy/dx = 4 - 2x.Since we want to find the slope of the tangent line at (1, 3), we need to substitute x = 1 into the equation we just obtained. dy/dx = 4 - 2x = 4 - 2(1) = 2. Therefore, the slope of the tangent line at (1, 3) is 2.We can now write the equation of the tangent line. We know the slope of the tangent line, m = 2, and we know the point (1, 3).

We can use the point-slope form of the equation of a line to obtain the equation of the tangent line. The point-slope form of the equation of a line is given as: y - y₁ = m(x - x₁)where m is the slope, (x₁, y₁) is a point on the line.Substituting in the values we have, we get:y - 3 = 2(x - 1)We can expand this equation to obtain the slope-intercept form of the equation of the tangent line:y = 2x + 1Therefore, the equation of the tangent line to the parabola y = 4x - x² at the point (1, 3) is y = 2x + 1.

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Answer:

You have to answer 1,000 questions i think

Step-by-step explanation:

Answer:

D) y = -5x + 5

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 1/5x + 5. Its slope is 1/5. A line parallel/perpendicular to this one will have a slope of -5.

Plug this value (#) into your standard point-slope equation of y = mx + b.

y = -5x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -5). Plug in the x and y values into the x and y of the standard equation.

-5 = -5(2) + b

To find b, multiply the slope and the input of x (2)

-5 = -10 + b

Now, add 10 to both sides to isolate b.

5 = b

Plug this into your standard equation.

y = -5x + 5

This equation is parallel/perpendicular to your given equation (y = 1/5x + 5) and contains point (2, -5)

Hope this helps!

volume of pyramid = 1/3(5.2)h cm3

Prism is a three dimensional figure. A prism is a 3-dimensional shape with two identical shapes (bases) facing each other.

we know that,

The volume of the pyramid is equal to

volume = (1/3) × base area × height

we have height = h cm

area of base = 5.2 cm^2

substitute in the formula

                       v = 1/3 × 5.2 × h

                        volume = 1.73h cm^3

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