Solve tan(x) (tan x + 1) = 0. O A. X = int.x = ** OB. B. x = 3 + 27T9,X = 37 + 277 4 O ETN C. X = }T, X = ? + T1 O EX= D. X = +17,X = +277 2

The value of A(2,2) is not 4, but rather 65536, which is obtained by using the recursive definition of the function.

The given inductive definition of Ackermann's function is used to calculate the values of the function for given input values of m and n. The definition uses recursive steps to define the function for different values of m and n. To find the value of A(2,2), we start with the base cases, which are given by the first two lines of the definition. Here, since m=2 and n=2, we use the third line of the definition, which gives the value 2n=2x2=4. Now, we use the fourth line of the definition to compute A(2,1) by using the value of A(2,2) that we just found. This gives us A(2,1)=\(2^4\)=16. Finally, we use the fourth line of the definition once again to compute A(2,0) by using the value of A(2,1) that we just found. This gives us A(2,0)=\(2^{16}\)=65536. Therefore, the value of A(2,2) is not 4, but rather 65536, which is obtained by using the recursive definition of the function.

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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The correct answer is B. 2, as the scale factor used to create the dilated polygon is 2.

To determine the scale factor used to create the image, we can compare the corresponding side lengths of the original polygon ABCD and the dilated polygon A'B'C'D'.

Let's calculate the lengths of the corresponding sides:

Side AB: The length of side AB is 3 - 1 = 2 units in the original polygon. In the dilated polygon, the length of side A'B' is 6 - 2 = 4 units.

Side BC: The length of side BC is -2 - (-1) = -1 units in the original polygon. In the dilated polygon, the length of side B'C' is -4 - (-2) = -2 units.

Side CD: The length of side CD is 1 - 3 = -2 units in the original polygon. In the dilated polygon, the length of side C'D' is 2 - 6 = -4 units.

Side DA: The length of side DA is -1 - (-2) = 1 unit in the original polygon. In the dilated polygon, the length of side D'A' is -2 - (-4) = 2 units.

Now, let's compare the corresponding side lengths:

AB: A'B' = 4 units / 2 units = 2

BC: B'C' = -2 units / -1 units = 2

CD: C'D' = -4 units / -2 units = 2

DA: D'A' = 2 units / 1 unit = 2

The scale factor used to create the image is the ratio of the corresponding side lengths.

In this case, all the corresponding side lengths have a ratio of 2.

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Answer:

uważam że nie wiem ale bym wiedział tylko muszę wiedzieć

Answer:

12% is the correct answer.

Answer:

Median. It has the highest grade.

Step-by-step explanation:

Mean: 92.5

Median: 93

Mode: no  mode (all numbers occur only once)

Range: range is 11 (this would be a terrible grade)

Because the median has the highest grade, you would want to pick it.

If you want/ need me to show work or explain just let me know

Also, if my answer helps please consider giving me brainliest.

Answer:

supplementary

Step-by-step explanation:

135 + 45 = 180

supplementary angle ALWAYS add up to  180.

Answer:

A is the answer

Step-by-step explanation:

Answer: Option  Option (B)

(B) There is likely an association between the categorical variables because the relative frequencies are not similar in value.  <======+ 100%

Step-by-step explanation:  Question?

.- A conditional relative frequency table is generated by column from a set of data. The conditional relative frequencies of the two categorical variables are then compared.

If the relative frequencies being compared are 0.21 and 0.79, which conclusion is most likely supported by the data?

The conclusion that should be supported is there is an association that lies between the categorical variables since the relative frequencies are not similar in value.

It is produced by the column form for setting out the data. It is of the two categorical variables that made for comparison.

In the case when the relative frequencies being compared are 0.21 and

0.79 so the above conclusion should be considered.

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The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

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Given data:

The growth in first week is a=2.6 cm.

The growth in second week is b=3.42 cm.

3.42>2.6

Thus, the option second and option third is correct.

A linear system of equations that is said to be consistent is when you have a solution for this system but also you can have an inifinity number of solutions.

the system is incosistent when this systems don't have a solution.

First Box=-4 Second Box=-3

Step-by-step explanation:

Answer:

147°

Step-by-step explanation:

Solving for x

To make a straight line the angles have to have a sum of 190. So 180°-33° would equal 147°

Answer:

x = 147°

Step-by-step explanation:

A line is 180°

180 - 33 = 147

Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

7.2 million dollars

Step-by-step explanation:

The domain of the function the complete set of possible values of the independent variable. In this case the domain includes all real numbers except 189.

From;

T(p) = 0.50 (p - 189)

When p = 203.4 million dollars

T(p) = 0.50 (203.4 - 189)

T(p) = 7.2 million dollars

Answer:

The survey result doesn't indicate the change

Step-by-step explanation:

Previous study result is 50%

Survey result:

Comparing with previous result:

Since this result is within 5% level of significance, it can be concluded that the survey result doesn't indicate the change

Answer:

54.07 inches

Step-by-step explanation:

Given the regression equation :

y = 18.5 + 0.890x

y = pulse rate in beats per minute

x = height

The best predicted pulse rate of a woman who is 65 inches

Put y = 65 in the regression equation :

65 = 18.5 + 0.890x

65 - 18.5 = 0.890x

46.5 = 0.890x

Divide both sides by 0.890

46.5 / 0.890 = 0.890x / 0.890

54.0697 = x

The best predicted pulse rate for a woman wo is 65 inches tall is 54.07 inches

Answer:

5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

(a) Daphne starts with $25.00 on her card

(b) The amount by which her card value changes per game is -($0.5)

(c) y = 25 - 0.5·x

From the table of values, the amount

The table of values is presented as follows;

\(\begin{array}{ccc}&\ \ Games \ Played#&Amount \ on \ Card \ (\$)\\Start&0&25\\&3&23.5\\&6&22\\&9&20.50\end{array}\)

(a) From the table above, when the number of game played = 0, the amount on the card = 25

Therefore;

The amount that Daphne start with on her card = $25

(b) The amount her card changes per game is given by the rate of change as follows;

\(Rate \ of \ change = \dfrac{dy}{dx}\)

Therefore;

\(Rate \ of \ change = \dfrac{y_2 - y_1}{x_2 - x_1}\)

Which gives;\(Rate \ of \ change = \dfrac{Present \ amount \ on \ card - Previous \ amount \ on \ card}{Present \ number of games played - Previous\ number of games played}\)Taking any two points, we get;

Rate of change = (23.5 - 25)/(3 - 0) = -0.5

Therefore, her card value is drops by 0.5 per game

The amount by which her card value changes per game = -($0.5)

(c) We note that the rate of change of the Amount on Card, y, to the

number of Games Played, x, is constant, therefore, the relationship

between the variables is a straight line relationship, of the form, y = m·x + c, and we have;

m = The rate of change = -0.5

c = The y-intercept = The starting Amount on Card ($) = 25

Therefore, the equation is;

y = -0.5·x + 25 = 25 - 0.5·x

The required equation is, y = 25 - 0.5·x

Where;

y = The Amount on Card

x = The number of Games Played

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To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.

Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.

Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.

By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.

Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.

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Answer:

x>1 (the first one)

Step-by-step explanation:

The measure of other two sides of triangle is12cm and 17cm.

What is a triangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes.

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane. In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.

If all of geometry is the Euclidean plane, then all triangles are enclosed in a single plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

here it is given in the question

the base of the triangle is 10cm.

then the value of other two side is 12cm and 17cm.

Hence, The measure of other two sides of triangle is12cm and 17cm.

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I'm pretty sure that the answer is A

Answer:

Option: C

Step-by-step explanation:

The center and radius of the circle with equation (x - 1)² + (y + 4)² = 4 are:

Center: (1, -4)

Radius: 2

So the correct answer is: Center (1, -4); r=2\(\)

Answer:

c. 6.2 ± 2.626(0.21)

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 101 - 1 = 100

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of \(1 - \frac{1 - 0.99}{2} = 0.995\). So we have T = 2.626

The confidence interval is:

\(\overline{x} \pm M\)

In which \(\overline{x}\) is the sample mean while M is the margin of error.

The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.

This means that \(\overline{x} = 6.2\)

The margin of error is:

\(M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)\)

In which s is the standard deviation of the sample and n is the size of the sample.

Thus, the confidence interval is:

\(\overline{x} \pm M = 6.2 \pm 2.626(0.21)\)

And the correct answer is given by option c.

The angle measure explained in the solution.

Given that, a || b, we need to find the missing angles,

∠1 = 42° [vertically opposite angles]

∠3 = 62° [vertically opposite angles]

∠2 = 180°-(∠1+62°) [angle in a straight line]

∠2 = 76°

∠4 = ∠2 [vertically opposite angle]

∠4 = 76°

∠4 = ∠9 = 76° [alternate angles]

∠9 = ∠12 = 76° [vertically opposite angle]

∠3 = ∠ 6 = 62° [alternate angles]

∠ 6 = ∠7 = 62° [vertically opposite angle]

∠3 + ∠5 = 180° [consecutive angles]

∠5 = 118°

∠5 = ∠8 = 118° [vertically opposite angle]

∠4 + ∠10 = 180° [consecutive angles]

∠10 = 104°

∠10 = ∠11 [vertically opposite angle]

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The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer:

a) isosceles triangle / acute triangle

b) right angled triangle

c) isosceles triangle / acute triangle

d) right angled triangle

e) isosceles triangle / acute triangle

f) equilateral triangle

g) equilateral triangle

h) obtuse triangle

hope this answer helps you.....