What percentage of the students in both grades prefer hot dogs for lunch?

Step-by-step explanation:

If l and k are lines in the xy-plane, is the product of the slopes of l and k equal to -1 ?

(1) Line l passes through the origin and the point (1,2).

(2) Line k has x-intercept 4 and y-intercept 2

The side lengths of trigonometry a, b, and c are determined by the traveled distances, and the internal angles of the triangle are A, B, and C.

Trigonometry, a branch of mathematics, studies how triangle side lengths and angles relate to one another. Around the third century BC, the use of geometry in astronomical study led to the first appearance of the area. The study of specific trigonometric functions and how they could be applied to calculations is a topic covered in the branch of mathematics known as precise techniques. Trigonometry includes six well-known trigonometric operations. The names and acronyms for each are sine, cosine, tangent, cotangent, secant, and cosecant (csc). Trigonometry is the study of triangle properties, specifically of right triangle properties. But geometry is the study of geometric figures and their features.

Here,

Given :

The sine rule or cosine rule, c2=a2+b2-2ab. cos(C), may be used to solve the issue if bearings between three sites result in the formation of a non-right-angled triangle between them.

The side lengths a, b, and c are determined by the traveled distances, and the internal angles of the triangle are A, B, and C.

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The complete question is " For what reason the cosine rule is used  in trigonometry  ?"

A fraction is a fragment of a whole number, used to define parts of a whole. The whole can be a whole object, or many different objects. The number at the top of the line is called the numerator, whereas the bottom is called the denominator.

We know that a square has 4 sides of the same length, meaning that the length and the width are the same length. You can solve for the area of the first three rooms with a length of 13 feet using an equation like this:

(13 × 13) × 3

Now, for the other two rooms with the length of 15 feet:

(15 × 15) × 2

Simply add them together.

([13 × 13] × 3) + ([15 × 15] × 2)

Simplified, the expression would look like this:

(169 × 3) + (225 × 2) = 957

Therefore, the expression that shows the total area of these five rooms would look like this: ([13 × 13] × 3) + ([15 × 15] × 2), or it being simplified would look like this: (169 × 3) + (225 × 2) = 957

Answer:

Step-by-step explanation:

187.5

A polynomial, which is a mathematical expression. Numerous monomials, which are mathematical expressions, are gathered together in it.

When a variable in an equation like the quadratic equation, cubic equation, etc. has only non-negative integer powers or only positive integer exponents, the function is said to be polynomial.

When exponents, constants, and variables are combined using mathematical operations like addition, subtraction, multiplication, and division, the result is a polynomial (No division operation by a variable).

An expression in mathematics known as a polynomial. It is a collection of several monomials, which are mathematical expressions. That is, a quantity, a variable, or the result of a quantity and multiple variables.

Polynomial equations are equations that contain variables, exponents, and coefficients.

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Answer:

15*280 = 4,200 m

Step-by-step explanation:

Since it's metric, you don't need to do much except multiply the 15 km by 280 m which is 28% of 1000 m.

0.5  is the probability that a driver is having a conversation while driving.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, 6/10 drivers look at their phones while driving. 3/10 drivers are having a conversation and looking at their phones while driving.

Let P(A) be the probability of drivers looking at their phones while driving.

and P(B) be the probability of drivers looking at their phones while driving.

Since:

P(A) = 0.6

P(A ∩ B) = 0.3

P(B) = (P(A ∩ B))/ P(A)

P(B) = 0.3/0.6

P(B) = 1/2

therefore, the probability that a driver is having a conversation while driving is 0.5.

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5 because the value of pi is 3.14 and therfore the graph must be a rational and a multiple of 3

Answer:

x ≥ 8

Step-by-step explanation:

It will take 8 hours. The underline underneath represents “greater than or equal to”

Answer:

Inqueality: 2.5cx greater than or equal to -20c

Solved: x greater than or equal to 8.

Answer:

"1/5" is the expression of "one divided by 5", because fractions can represent division as well as a ratio.

Answer:

one divided by 5 I think (Sorry if I'm wrong!)

The instructions telling Robot Rob how to move and turn are as listed from 1 to 8

To make Robot Rob's path a parallelogram with a 10-foot side, a 20-foot side, and a 70-degree angle, you can use the following instructions:

1. Have Robot Rob move forward 10 feet.

2. Have Robot Rob turn left by 70 degrees.

3. Have Robot Rob move forward 20 feet.

4. Have Robot Rob turn left by 110 degrees (the angle that completes the parallelogram).

5. Have Robot Rob move forward 10 feet.

6. Have Robot Rob turn left by 110 degrees.

7. Have Robot Rob move forward 20 feet.

8. Have Robot Rob turn left by 70 degrees.

You can determine these instructions by using basic geometry and trigonometry. A parallelogram has opposite sides that are parallel and equal in length, so the 10-foot and 20-foot sides are opposite sides.

An angle of 70 degrees is used because the opposite angles of a parallelogram are supplementary. The total of the opposite angles of a parallelogram is 180 degree, which means the other angle is 180 - 70 = 110 degree.

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Answer:

P = 0.886 (88.6%)

Step-by-step explanation:

Of the 44 students there are 5 who do not apply to be chosen

[tex]P=\frac{44-5}{44} =\frac{39}{44} =0.886[/tex]

P = (0.886)(100) = 88.6%

Hope this helps.

If there are 133,758 cases of AIDS, 22,293 were probably infected as teenagers.

A research paper is a written work that presents the results of original research or provides an in-depth analysis of a particular topic or issue. Research papers are typically written by scholars, academics, or students, and are commonly submitted as part of a course assignment, a doctoral or master's degree requirement, or for publication in a scholarly journal.

A research paper typically includes several key elements: an introduction that provides background information on the topic and sets the stage for the rest of the paper; a literature review that summarizes existing research on the topic; the methodology section that describes the methods used to conduct the research; the results section that presents the findings of the research; and a discussion or conclusion section that interprets the results and places them in the context of the broader field of study.

The writing style of a research paper is usually formal and objective, with a focus on clearly and accurately communicating the results of the research. Research papers often include citations and references to other works, which demonstrate the writer's familiarity with the literature and support the validity of their findings.

If 1/6 of the people with AIDS are in their 20s, then 1/6 of 133,758 cases is 133,758 / 6 = 22,293 cases.

These 22,293 people with AIDS in their 20s were probably infected as teenagers, so the answer is 22, 293 cases were probably infected as teenagers.

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The person who drinks more water between Whitney and Troy is Troy.

Quantity of water Whitney drinks daily = 1500 ml

1000 milliliters = 1 liter

1500 milliliters = 1.5 litres

Quantity of water Troy drinks daily = 1.8L

The person who drinks more water= Quantity of water Troy drinks daily - Quantity of water Whitney drinks daily

= 1.8L - 1.5L

= 0.3L

In conclusion, Troy drinks 0.3 liters more water than Whitney.

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Answer:

abeni suq ae

Step-by-step explanation:

Answer:

  (b)  14

Step-by-step explanation:

You want the difference of functions f(x) = 3x² +1 and g(x) = 1 -x when x=2.

The notation (f -g)(x) means f(x) -g(x). Then (f -g)(2) is ...

  f(2) -g(2) = (3·2² +1) -(1 -2) = 13 -(-1) = 14

The value of (f -g)(2) is 14.

Answer:

5.7

Step-by-step explanation:

216.6/38=5.7

Answer:

11

Step-by-step explanation:

If we know that she paid $74, and the discount is $25, we need to figure out the total price of the shirts before the discount.

74 + 25 = 99

Now that we know she spent $99 on shirts, we can divide that by 9 to get the number of shirts purchased.

99 ÷ 9 = 11

Therefore, she bought 11 shirts.

A transition known as a dilation enlarges or reduces an object by a certain amount. Using a scale factor of 2, we can dilate a triangle.

The complete question is,

How can a triangle be widened by two and three?

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The table that represents the situation when a mattress store is having a sale and are 30% off will be D. Table D.

From the information given, the table that represents the situation when a mattress store is having a sale and are 30% off.

In this case, Nate wants to know the sale price of the matress that is regularly $1000.

The price after the discount will be:

= $1000 - (30% × $1000).

= $1000 - $300

= $700

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Both are correct. Both quadrilaterals have two pairs of parallel sides and all sides are the same length. Option C is correct.

Inductive reasoning is defined as, tempting judgments by moving from the details to the fact. It's usually determined with inferential reasoning, where you move from known information to precise conclusions.

Here,
The question seems to be incomplete, so we assume that both figures are congruent figures,

As mentioned in the question, Diana says that the quadrilateral on the right is a rhombus and Melissa says that the quadrilateral on the left is a rhombus. Besides their statements both figures will be rhombus then as both figures are similar and have two pairs of opposite sides that are parallel and equal in length.

Thus, option C is correct.

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Answer:

IK = 24

Step-by-step explanation:

Since is says that O is the point of intersection of the three medians (also known as centroid) the segment JN which passes through a vertex of the triangle, would have to be a median to segment IK.

Medians divide a segment into two congruent parts, so IN = NK = 12 as we are given IN = 12.

IK is the sum of the measure of IN and NK, so in other words:

IK = IN + NK = 12 + 12 = 24

The appropriate unit for measurement for momentum p is kgm/s ( option C)

momentum is defined as the product of mass of a body and it's velocity. momentum is a vector quantity. It is represented by p

From the definition of momentum, momentum can be expressed as :

p = m× v

where m is the mass of the body and v is the velocity of the body.

For example if a body of mass 5kg is moving with a velocity of 10 m/s, it momentum will be 5×10 = 50kgm/s

The change in momentum of a body is referred to as the impulse of the body.

from the formula;

v has a unit of meter per second (m/s)

m has a unit if kilogram (kg)

therefore the unit of measurement of p will be:

p = kg × m/s

p = kgm/s

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Pyramid have faces=n triangles & 1 n-sided polygon

Edges=2n

vertices=n + 1

An edge is a line segment that serves as a transition between two faces. It is also sometimes referred to as the line segment that connects two vertices.

The location where two or more edges intersect is the formal definition of the vertex in mathematics. The corner points are called vertices.

A solid's face refers to each unique flat surface. Solids have multiple faces.

The number of faces in a pyramid is equal to one more than the base's polygon's number of sides.

faces = n triangles & 1 n-sided polygon

One more than the number of sides at the base of the polygon makes up the number of vertices in a pyramid.

hence, vertices = n + 1

Two times the number of sides at the base of a polygon equals the number of edges on a pyramid.

Therefore, edges = 2n

A pyramid has n triangles & 1 n-sided polygon Faces

A pyramid has  2n Edges.

A pyramid has  n + 1 Vertices.

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The value of x is 73°

A polygon is a geometric object with two dimensions and a finite number of sides. A polygon's sides are made up of segments of straight lines that are joined end to end. As a result, a polygon's line segments are referred to as its sides or edges.

The geometric shape known as a pentagon has five sides and five angles. Penta here means five, and gon means angle. One of the different kinds of polygons is the pentagon. A regular pentagon's internal angles add up to 540°.

Here we have a five-sided Polygon  

And the angles are 127°, 112°, 108°, 120°, and x°  

As we know the sum of angles = 540°  

=> 127° + 112° + 108° + 120° + x° = 540°

=> 467° + x° = 540°

=> x° = 540° - 467°

=> x° = 73°  

Therefore,

The value of x is 73°

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Complete question:  

Find the value of 'x' in the given Polygon.

The key features of the graph of the function would be

1) Domain - (1, infinity).

2) The range of the function is (2, infinity).

3) The graph of the function is a monotonically increasing function.

4) The graph of the function is asymptotic to the x-axis as it approaches x = 1.

5) The graph is a straight line, that is passing through the point (1,2) and has a slope of 1.

6) The graph is a shifted version of the function log2(x) by 2 units upward.

What is the graph of the function?

The graph of a function is a visual representation of the relationship between the inputs and outputs of the function. It is a diagram that shows the set of all possible points (x,y) that satisfy the equation of the function y = f(x) or in the case of a multivariable function y = f(x,z).

The graph of the function g(x) = log2(x-1) + 2 has several key features. Some of these features include:

1) The domain of the function is (1, infinity) since the logarithm is defined for x>0 and x-1 >0.

2) The range of the function is (2, infinity) since the minimum value of log2(x-1) + 2 is 2.

3) The graph of the function is a monotonically increasing function, meaning that as the input x gets larger, the output g(x) also increases.

4) The graph of the function is asymptotic to the x-axis as it approaches x = 1. This means that as x gets closer to 1, the graph of the function gets closer to the x-axis but never touches it.

5) The graph is a straight line, that is passing through the point (1,2) and has a slope of 1.

6) The graph is a shifted version of the function log2(x) by 2 units upward.

Hence, the key features of the graph of the function would be

1) Domain - (1, infinity).

2) The range of the function is (2, infinity).

3) The graph of the function is a monotonically increasing function.

4) The graph of the function is asymptotic to the x-axis as it approaches x = 1.

5) The graph is a straight line, that is passing through the point (1,2) and has a slope of 1.

6) The graph is a shifted version of the function log2(x) by 2 units upward.

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Answer:

y = 4/5x + 1

Step-by-step explanation:

The required measure of the segment ST is 2(a + b).

Midpoint is that point on the line whose distance from both ends of the line is equal.

Here,

Draw segment ST, put point Y where a line bisects the segment ST,
SY = a + b

Since y is the midpoint of the line ST, so,
ST = SY + YT   [SY = YT]
ST = a + b + a + b
ST = 2[a + b]

Thus, the required measure of the segment ST is 2(a + b).

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