What is the graph of the function f/x x2?

Answer: Since sin(theta) = 4/5 and pi/2 < theta < pi, theta is in the third quadrant.

In the third quadrant, cos(theta) is negative and sin(theta) is positive.

Using the double angle formula for cosine, cos 2theta = 2cos^2(theta) - 1 = 2(cos^2(theta) - (sin^2(theta)/2)) - 1

cos^2(theta) = 1 - sin^2(theta) = 1 - (4/5)^2 = 1 - 16/25 = 9/25

so,

cos 2theta = 2(9/25) - 1 = 18/25 - 25/25 = -7/25

Step-by-step explanation:

The value of the cos(2θ) will be equal to -24/25.

The relationships between the sides and angles of triangles are the subject of the mathematical discipline of trigonometry. It is based on research into the characteristics of the trigonometric functions used to describe these relationships, including sine, cosine, and tangent.

First, we can find the value of cos(θ) using the Pythagorean identity:

cos(θ = √(1 - sin^2(θ)) = √(1 - (4/5)²) = √(9/25) = 3/5

Since pi/2 < θ < π, we know that cos(θ) < 0. Therefore, cos(θ) = -3/5.

Next, we can use the double-angle formula for cosine to find cos(θ):

cos(θ) = 2cos²(θ) - 1

Substituting the value of cos(theta) that we found earlier, we get:

cos(2θ) = 2(-3/5)² - 1 = -24/25

Therefore, the value of the cos(2θ) = -24/25.

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Answer:

The postal carrier can deliver to 130 houses in 2.5 hours. To find out how many hours it will take to deliver to 312 houses at this rate, we need to use the formula:

time = (number of houses) / (rate of delivery)

We know that the rate of delivery is 130 houses per 2.5 hours. To find the time it will take to deliver to 312 houses, we can plug in the values:

time = (312 houses) / (130 houses per 2.5 hours)

time = 312/130 * 2.5 = 2.5 * 2.4 = 6 hours

So it will take 6 hours to deliver to 312 houses at this rate.

Answer:

I. opposite sides are equal

Answer:

i. Opposites sides are equal

ii. Opposite sides are parallel

iii. All angles are right angles

Step-by-step explanation:

A function is a mathematical relationship between two sets of variables, usually expressed as an equation. A function can be represented in three different ways:

This can be helpful in understanding the behavior of the function and how the output value changes with different input values. Understanding and interpreting different representations of a function is a fundamental part of mathematics.

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Yes, when multiplying an inequality by a negative, the inequality sign must be flipped.

This is because the negative number changes the direction of the inequality. For example, if the inequality is x > 4, and we multiply both sides by -2, the inequality becomes -2x < -8. The left side is now less than the right side, so the inequality sign must be changed to <. Mathematically, this can be shown as follows:

Let x > 4

Multiply both sides by -2:

-2x > -8

Flip the inequality sign:

-2x < -8

Therefore, when multiplying an inequality by a negative number, the inequality sign must be flipped.

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The degree of the polynomial is 7, and it is a 7th degree polynomial.

The degree of a polynomial is the highest power of the variable in the equation. In this equation, the highest power of the variable is 7, so the degree of the polynomial is 7. Therefore, the polynomial is a 7th degree polynomial.

The degree of a polynomial is the highest power of the variable that appears in the equation. In this polynomial, the highest power of the variable is 7, which means that the polynomial is a 7th degree polynomial. The equation is 4x2 + 0x3 + 0x5 + 5x7, and it is a 7th degree polynomial because the highest power of the variable is 7. All other terms in the equation have a power of the variable that is lower than 7, so the degree of the polynomial is 7. This is because the degree of the polynomial is determined by the highest power of the variable in the equation.

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Answer:

Step-by-step explanation:

Given 22 raspberry and 55 strawberry scones, you want to know the number of equal-sized bags Michael can fill with scones, and the number in each bag.

The answer statement you're asked to fill tells you that you solve this problem by finding the GCF of 22 and 55. If you look at the factors, you can see what the largest common factor is:

  22 = 2·11

  55 = 5·11

The greatest common factor of 22 and 55 is 11. When the scones are divided equally among 11 bags, there will be 2 raspberry and 5 strawberry scones in each bag.

The greatest number of bags Michael can fill is 11 bags because the GCF of 22 and 55 is 11 . Each bag can have 2 raspberry and 5 strawberry scones.

The graph of a logarithmic function is always increasing, is a continuous curve, has an asymptote at y = 0, is a reflection of the graph of its inverse exponential function, and passes through the point (1,0).

The graph of a logarithmic function is always increasing, is a continuous curve, has an asymptote at y = 0, is a reflection of the graph of its inverse exponential function, and passes through the point (1,0).

1. The graph of a logarithmic function is always increasing.

2. The graph of a logarithmic function is a smooth, continuous curve.

3. The graph of a logarithmic function has an asymptote at y = 0.

4. The graph of a logarithmic function is a reflection of the graph of its inverse, the exponential function.

5. The graph of a logarithmic function passes through the point (1,0).

The graph of a logarithmic function is always increasing, is a continuous curve, has an asymptote at y = 0, is a reflection of the graph of its inverse exponential function, and passes through the point (1,0).

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36x² + 48x + 16 is the simplified shape of the given quadratic equation (6x 4)².

ax²+bx+c=0, with a not, equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Given a Quadratic function in terms of x, (6x + 4)²

Simplification of the given equation is

=>  (6x + 4)²

=>  (6x + 4) * (6x + 4)

=> 36x² + 24x + 24x + 16

=>  36x² + 48x + 16

therefore,   36x² + 48x + 16 is the simplified form of the given quadratic equation  (6x + 4)².

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70 grade must the student earn on the last exam to get an average of an 80 for the marking period.

Division is the process of splitting a number or an amount into equal parts.

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

A student received grades of 84, 87, and 79 on the first three exams.

let, x grade must the student earn on the last exam to get an average of an 80 for the marking period.

i.e. (84+87+79+x)/4=80

solving, we get,

x=70

Hence, 70 grade must the student earn on the last exam to get an average of an 80 for the marking period.

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The length on the blueprint s 14 ft

Let l1, w1 be the length and width of the rectangular garden.

Let l2, w2 be the length and width on the blueprint of the rectangular garden.

As we know that the actual dimensions of the rectangular garden and the dimemsions on the blueprint must be in proportion.

So we get [tex]\frac{l_1}{l_2} = \frac{w_1}{w_2}[/tex]

Here, l1 = 70  ft

w1 = 45 ft

w2 = 9 ft

To find : l2

Consider above equation,

[tex]\frac{l_1}{l_2} = \frac{w_1}{w_2}[/tex]

70 / l₂ = 45 / 9

70 / l₂ = 5

l₂ = 70/5

l₂ = 14 ft

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Answer:

36.8%

Step-by-step explanation:

First, we have the find the amount of change, by taking

$19 - $12 = $7

Then

7 divided by 19, times 100 = 36.8%

So, the percentage decrease is 36.8%

The inequality standard form that describes this situation 5x + 4y ≤ 28, option A.

The cost of hot dogs can be expressed as 5 tickets times x hot dogs, and the cost of burgers can be expressed as 4 tickets times y burgers.

The total number of tickets the campers can use is 28 tickets, so the total cost of the hot dogs and burgers must be less than or equal to 28 tickets: 5x + 4y ≤ 28

This inequality in standard form describes the situation where the camp counselor bought food tickets for her campers and they can use up to 28 tickets in total.

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The full question is:

At an arts festival, a camp counselor bought food tickets for her hungry campers. The campers can use them to get hot dogs, which cost 5 tickets apiece, and burgers, which cost 4 tickets apiece. In total, the campers can use up to 28 tickets, which is how many the counselor bought. Select the inequality in standard form that describes this situation. Let x be the number of hot dogs and y be the number of burgers.

a. 5x + 4y ≤ 28

b. 5x + 4y ∠ 28

c. 4x + 5y ≤ 28

d. 4x + 5y ∠ 28

Answer:

Putting -7 in place of x

Step-by-step explanation:

h(x) = 5.7 −19x

h(-7)= 5.7 - 19(-7)

         5.7 + 133

         138.7

The value of the function at -7 is 138.7.

x + y = 11

Putting -7 in place of x

-7 + y= 11

y = 18

The total number of students is 3x² + 3x + 5

It consists of variables, coefficients, and constant terms, and usually uses an equal sign (=) to relate the two sides. For example, the equation 2x + 3 = 7 represents the relationship between the variable x and the numbers 2, 3, and 7. The goal of solving an equation is to find the value of the variable that makes the equation true.

To find the total number of students at the junior high school, we need to add up the number of 7th graders and 8th graders.

The number of 7th graders is given by x² + 4x, and the number of 8th graders is given by 2x² - x + 5.

So, the total number of students is:

x² + 4x + 2x² - x + 5 = 3x² + 3x + 5

This is the final expression for the total number of students at the junior high school.

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"There is no greater tyranny than that which is perpetrated" is written by Montesquieu.

The line means that The King and his Court do not need protection from its citizens, as they have a standing army and things like prisons.

It means that if a law is passed in a country that can be used to disadvantage a serious part of the population and its main use is to reinforce the status quo of the people in power then that law is tyrannical in nature. There are ample examples of such laws.

Thus, "There is no greater tyranny than that which is perpetrated" is written by Montesquieu.

Complete question: Who wrote, "There is no greater tyranny than that which is perpetrated"?

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We use standard uncertainty because it helps to make less error when finding out mean value of a given sets.

Uncertainty is the non-exact value derived by counting the number of points and subtracting their standard deviation. The result obtained should be an approximation rather than a precise value. The score of spread values from the provided set of data is known as standard deviation.

There could be several points in the uncertainty. Errors could occur if the days are rounded uncertainly. We use single data to view uncertainty in the situation of single data. Additionally, rounding uncertainty is appropriate if the level is the same as the measured uncertainty. We measure and compute the mean after taking the set of values into account multiple times. Finding the mean's uncertainty is important.

Therefore we use the relation,

σmean = σindividual/√(n-1)

Value is less than the value of reading-specific uncertainty. As a result of the additional number measurements caused by the rounding process, the uncertainty exceeds the standard deviation by a significant amount.

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Answer:

JK6, MN3

Step-by-step explanation:

The letters go down in the alphabet, but skipping a letter. After GH is IJK, but we skip the I to follow the pattern. The numbers go down by 3: 9-3 = 6. Same thing for MN3!

The long run probability that both machines are working is then given by π2.

To find the steady state solution, we first need to write down the transition rate matrix of the chain, which describes the rates at which the system transitions between states. The states in this case are the number of machines that are working (0, 1, or 2), and the transition rates are determined by the failure and repair rates of the machines.

The matrix will be 3x3 and the diagonal elements will be the negative sum of the corresponding row in the matrix.

Let's call P(i,j) the probability of being in state i and transitioning to state j.

P(0,1)=1, P(1,0)=1, P(1,2)=1 and P(2,1)=1

The transition rate matrix will be

[ -3 1 0]

[ 1 -6 2]

[ 0 3 -5]

The steady state solution can be found by solving the equation Pπ = π, where π is the steady state probability vector and P is the transition rate matrix.

The long run probability that both machines are working is then given by π2.

You can also use Linear Algebra to solve the equation Pπ = π and find the steady state probability vector.

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The measure of the angle ∠BAD will be 110°. Then the correct option is B.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The central angle is double the angle at the periphery that was subtended by the same chords.

DR is the tangent to Circle O. If m of angle DB = 140°. Then the equation is given as,

∠BCD = (1/2) arc DB

∠BCD = (1/2) x 140°

∠BCD = 70°

We know that the sum of the opposite angle of the cyclic quadrilateral is 180°. Then we have

∠BAD + ∠BCD = 180°

∠BAD + 70° = 180°

∠BAD = 110°

The measure of the angle ∠BAD will be 110°. Then the correct option is B.

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The missing graph is given below.

Following a reflection over the x-axis and a translation I unit to the left, the transformations will translate the trapezoid RSTU onto the trapezoid NMLK.

A point, line, or geometric object can be changed in four different ways that are all collectively referred to as transformations. The pre-image is the shape of the object as it was originally, and the transformed shape of the object is termed the image.

Translation, rotation, reflection, and expansion are the four different types of transformation. Geometry. The x-coordinate of a point that is reflected across the x-axis stays constant, but the y-coordinate is assumed to be the additive inverse. The x-axis' reflection of point (x, y) is (x, -y). The X axis reflection rule states that each point's y-coordinate must be negative while the x-value must remain constant.

Therefore the correct answer is option A) reflection over the y-axis, then a translation I unit to the right.

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Answer:

option d is correct

[tex] = \frac{1}{ {4}^{28} } [/tex]

The probability that a registrant has failed the afternoon session given he/she has passed the morning session is 0.3125.

Let A be the event of registrants passing the morning session

Let B be the event of registrants passing the afternoon session

Here given that

n(A) = 80%

n(B) = 70%

n(notA ∩ notB) = 5%

We need to find P(notB/A)

According to the formula the conditional probability

P(X/Y) = P(X ∩ Y)/P(Y)

Hence, P(notB / A) = P(notB ∩ A) / P(A)

Now (notB ∩ A) = n(A) - n(A ∩ B)

Also by De Morgan's law

not X ∩ not Y = not(X U Y)

Hence,

(not A ∩ not B) = not(X U Y)

or, 1 - n(A) - n(B) + n(A∩B) = 0.05

or, n(A ∩ B) = 0.05 + 0.5 = 0.55

Hence,

(not B ∩ A) = 0.8 - 0.55

= 0.25

Hence,

P(notB/A) = 0.25/0.8

= 0.3125

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To find the length of each piece we write the expression as 2/3 ÷ 3. So the option 1 is correct.

In the given question, we have to find which expressions can you use to find the length of each piece.

He needs to cut a board that is Two-thirds of a yard long.

We can Two-thirds as 2/3.

We have to cut it into 3 equal piece.

To cut 2/3 in equal pieces we divide 2/3 by 3

Now the expression is:

2/3 ÷ 3

So the option 1 is correct.

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The complete question is:

Miguel is building a skate ramp. He needs to cut a board that is Two-thirds of a yard long into 3 equal pieces. Which expressions can you use to find the length of each piece? Check all that apply.

(1) 2/3÷3

(2) 3÷2/3

(3) 6/9÷3

(4) 3/4÷3

8) If the interior angle of regular polygon measures 170°, then it has 36 sides.

9) If the sum of all the interior angles of a polygon is 1980∘. then, the given polygon has 13 sides.

10) Where the sum of the interior angles of a polygon = 5400°, then the polygon has 32 sides.

11) Where the measure of the seven angles in a nonagon measure 138°, 154°, 145°, 132°, 128°, 147°, and 130°, and the two remaining angles are equal in measure, the measure of each angle is 143°

A nonagon or enneagon is a nine-sided polygon or 9-gon in geometry. The word nonagon is a prefix hybrid construction derived from Latin that has been used interchangeably since the 16th century in French nongone and since the 17th century in English.

8) First let's solve for the regular triacontanol (that is a regular polygon with 36 sides.

Note that the formula for solving the Interior angle of a polygon is:

Interior Angle = [(n-2) 180°] /n

Where n is the number of sides:

Thus, entering the information given, we have:

Interior angle =  170 thus,

170° =  [(n-2) 180°] /n

170°n = (n-2) 180°

170°n-180°n = -360°

-10°n = -360°

n = -360°/-10°

n = 36

Thus, the polygon that has an interior angle of 170° has 36 sides.

9) Where the sum of interior angles = 1980°

To get the number of sides, we must use the formula below:

Sum of Interior Angles (S) = (n-2) x 180°

Where n is the number of sides of the Polygon

Since S = 1980°, we say

1980 = (n - 2) x 180

⇒ n -2 = 1980/180

⇒ n - 2 = 11

n = 11 + 2

n = 13,

Therefore, where the sum of interior angles = 1980°, the number of sides is 13.

10) If the sum of interior angles = 5400°,

using the same process in 9 above, we say:

5400 = (n - 2) x 180

n - 2 = 5400 /180

n - 2 = 30

n = 30 + 2

n = 32;

Therefore where the sum of interior angles = 5,400°, the number of sides is 32.

11) Where the measure of the seven angles in a nonagon measure138°, 154°, 145°, 132°, 128°, 147°, and 130°, and  the two remaining angles are equal in measure, then the measure of each angle is determined as follows;

Note that the sum of the interior angles of a nonagon is 1260°

Thus, to arrive at the remaining angles, we say:

138°+154°+145+ 132°+ 128°+ 147°+ 130° + 2x = 1260 (recall that the remaining angles are equal)

⇒ 974 + 2x = 1260

2x = 1260 - 974

x = (1260- 974) /2

x = 143

Therefore, the measure of the two remaining angles which are equal are 143 degrees.

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Answer:

36

Step-by-step explanation:

48 x 3/4

A hot air balloon moves 1.2 kilometres horizontally from its launch location. From the launch site to the balloon, there is a 15° elevation difference. 3400 feet are covered.

The balloon flies.

[tex]$\begin{aligned} \tan 15^{\circ} & =\frac{D C}{A C} \\ A C & =\frac{D C}{\tan 15^{\circ}} \\ & =\frac{450}{\tan 15^{\circ}} \\ & =1,680 \mathrm{ft} \\ \angle A C B & =180^{\circ}-\left(13^{\circ}+19^{\circ}\right) \\ & =148^{\circ}\end{aligned}$[/tex]

By using the triangle ABC,

[tex]$\frac{A B}{\sin 148^{\circ}}=\frac{2117}{\sin 19^{\circ}}$[/tex]

[tex]$\begin{aligned} A B & =\frac{2117 \sin 148^{\circ}}{\sin 19^{\circ}} \\ & =3,400 \mathrm{ft}\end{aligned}$[/tex]

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The domain of a function table is the set of input values (also known as the x-values) and the range is the set of output values (also known as the y-values). To write the domain and range of a function table, simply list all the x-values in the table (without repeating) as the domain and all the y-values in the table (without repeating) as the range.

The domain of a function is the set of all input values (sometimes referred to as independent variables) for which the function is defined and produces an acceptable result (also called dependent variable). Most often, the domain is represented by a collection of numbers or a range of numbers.

The term "range" refers to the entire set of potential output values (dependent variable) that a function can produce for any set of valid input values inside its domain. Usually, a group of numbers or a range of numbers is used to represent the range.

A visual, gridded table with input and output cells arranged in rows and columns is the definition of a function table. Function machines are a common name for function tables when students first learn them. In order to generate the output, a certain rule is applied to the input value in the table itself.

The way that connected variables interact is described by relations and functions. These connections comprise independent values and inputs, or variables that can be affected by external factors. The variables that are influenced by the independent values are also included, as are the dependent values and outputs. When discussing relations, we also need to take into account a second set of elements called domain and range.

A function's or relation's domain is the set of all feasible independent values that the relationship may take. It is a compilation of all conceivable inputs.

A function's or relation's range is the set of all potential dependent values that the relationship can generate from the domain values. It is a compilation of all potential output.

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2√2 units is the distance between the given points (2, 3) and (4, 1).

An object's entire motion, independent of direction, is its distance.

Regardless of where it started or ended, distance is the amount of space that an object has covered.

We can determine an object's actual size by knowing how far it is from us.

To get the distance between two points, one usually uses the formula:

d=((x2 - x1)2 + (y2 - y1)2)

So, we have the formula:

d=((x2 - x1)2 + (y2 - y1)2)

The points are: (2, 3) and (4, 1)

Now apply values in the formula and calculate as follows:

d=((x2 - x1)2 + (y2 - y1)2)

d=√(2−4)2+(3−1)2

d=√(−2)2+22

d=√4+4

d=√8

d=2√2 units

Therefore, 2√2 units is the distance between the given points (2, 3) and (4, 1).

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