A party planner organized a dinner party. The party planner recorded the height of the candlesticks over time and graphed the relationship.


graph with the x axis labeled time in hours and the y axis labeled height of candlestick in inches and a line going from the point 0 comma 8 through the point 3 comma 6


Find and interpret the slope and y-intercept in this real-world situation.


A. The slope is 8, and the y-intercept is negative two thirds. The candle starts at a height of two thirds of an inch and decreases 8 inches every hour.

B. The slope is 8, and the y-intercept is negative three halves. The candle starts at a height of three halves of an inch and decreases 8 inches every hour.

C. The slope is negative two thirds, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases two thirds of an inch every hour.

D. The slope is negative three halves, and the y-intercept is 8. The candle starts at a height of 8 inches and decreases three halves of an inch every hour.

The equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).

Trigonometric Identities are equality conditions that apply to all values of the equation's variables and which require trigonometry functions. There are numerous unique trigonometric identities that involve both the side length and angle of a triangle.

Trigonometry equations known as trig identities are used frequently to solve trigonometry and geometry problems and comprehend a variety of mathematical facts. Understanding and remembering fundamental mathematical concepts and resolving a variety of math issues are made easier by having a solid understanding of key trig identities.

Let the equation be Sin A(cos A + sin A tan A)

Express with sin, cos

[tex]$=\frac{\left(\cos ^2(A)+\sin ^2(A)\right) \sin (A)}{\cos (A)}$$[/tex]

Rewrite using trig identities

= tan (A)

Therefore, the equation be Sin A(cos A + sin A tan A) then the trigonometric identities be tan (A).

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There are 11,838,890 ways to arrange 7 elves and 5 goblins in a row without any goblins standing next to each other.

This can be calculated using the formula for combinations, n!/(r!(n-r)!), where n is the total number of elves and goblins (12) and r is the number of goblins (5). The calculation is written as 12!/(5!(12-5)!) = 11,838,890.

To illustrate, one possible arrangement is EE EG EEG EEG EGEE EG. Here, E stands for elf and G stands for a goblin. The arrangement starts with two elves, followed by an elf and a goblin, followed by three elves, followed by an elf and a goblin, followed by two elves, and finally ending with an elf.

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We have solution as:

z =z and y -8-z

The solution set is

x=9, y = -8-z, w = 1, z = z

Matrix is an arrangement of numbers into rows and columns. Make your first introduction with matrices and learn about their dimensions and elements. A matrix is a rectangular arrangement of numbers into rows and columns. For example, matrix A has two rows and three columns.

The augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

We find that this is a rectangular matrix 3 rows and 4 columns

i.e. the variables are four but independent equations are only 3.

So only parametric equations can be found out

First row gives x = -9

Last row gives w = 1

II row gives y + z =-8 and we do not have any other equation in y or z

Hence we have solution as:

z =z and y -8-z

The solution set is

x=9, y =-8-z, w =1, z=z

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The given question is incomplete, complete question is :

Given that the augmented matrix in row-reduced form below is equivalent to the augmented matrix of a system of linear equations. Determine whether the system has a solution and find the solution(s) to the system, if they exist.

[ 1 0 0 0 | -9 ]

[ 0 1 1 0 | -8 ]

[ 0 0 0 1 | 1 ]

A) x=-9, y=-8, z=-8, w=1

B) No solution.

C) x=-9, y=-8, z=1

D) x=-9, y=-8+z, w=1, z=any real number

E) z=-9, y=-8-z, w=1, z=any real number

F) None of the above.

The measure of angle m∠Y as required to be determined given that the two angles S and Y are complementary is; 40°.

As evident in the task content; ∠S and ∠Y are complementary.

Therefore; m∠S + m∠Y = 90°.

Also, since; m∠S = 3(m∠Y) − 70°.

By substitution;

3(m∠Y) − 70° + m∠Y = 90°

4m∠Y = 160°

m∠Y = 40°.

Ultimately, the measure of angle Y as required is; m∠Y = 40°.

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It is possible to design any statistical learning problem to minimize predicted loss. All data examples in problem 1 correspond to supervised learning.

What is supervised learning?

The use of labelled datasets distinguishes the machine learning strategy known as supervised learning. These datasets are intended to "supervise" or "train" algorithms to correctly classify data or forecast outcomes. Labeled inputs and outputs allow the model to monitor its precision and improve over time.

When using data mining, supervised learning may be divided into two categories: classification and regression.

Using an algorithm, classification issues correctly categories test data into distinct groups, such as distinguishing apples from oranges.

Another supervised learning technique that employs an algorithm to comprehend the link between dependent and independent variables is regression.

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Correct question:

What type of statistical learning do all data examples supervised or unsupervised?

The percent rate of change of s(t) is approximately -26.15%. This means that the function is decreasing at a rate of about 26.15% per unit of time.

The function s(t) = 0.65[tex](0.48)^t[/tex]represents a decreasing exponential function, where t is time and s(t) is the value of the function at time t.

To find the percent rate of change of s(t) at any given time t, we can use the formula:

percent rate of change = [(new value - old value)/old value] x 100%

In this case, the "old value" is s(t) and the "new value" is s(t+1), or the value of the function one unit of time later.

So, the percent rate of change of s(t) is:

percent rate of change = [(s(t+1) - s(t))/s(t)] x 100%

We can substitute the given function into this formula:

percent rate of change = [(0.65[tex](0.48)^(t+1)[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex]x 100%

Simplifying, we get:

percent rate of change = [(0.48(0.65)[tex](0.48)^t[/tex]- 0.65[tex](0.48)^t)[/tex]/0.65[tex](0.48)^t][/tex] x 100%

percent rate of change = [-0.17/0.65] x 100%

percent rate of change = -26.15%

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(a) The scale factor from shape A to shape B is 3/4.

(b) The value of w is 21/4 cm.

A scale factor is the ratio of the new object to a given original object.

For example,

The scale factor is A : B.

We have two similar trapezoid as shown in the picture.

Find (a) the scale factor from shape A to shape B, and (b) the value of w!

The scale factor from shape A to shape B can be determined by analyzing one of the side length. We can take the longest side of the trapezoid.

Scale factor = 9/12 = 3/4

The value of w side is correspond to 7. So,

w/7 = 3/4

w = 3/4 × 7

w = 21/4 cm

Hence, the scale factor is 3/4 and the value of w is 21/4 cm.

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The value of x from the given figure is 15°.

An exterior angle is an angle which is formed by one of the sides of any closed shape structure such as polygon and the extension of its adjacent side. The sum of the measures of the exterior angles of a polygon is equal to 360 degrees, irrespective of the number of sides in the polygons.

In the given figure, we have 7x°, 83°, 33°, 6x° and 49°.

Now, 7x°+83°+33°+6x°+49°=360°

13x+165=360

13x=360-165

13x=195

x=195/13

x=15

Now, 6x=90° and 7x=105°

Therefore, the value of x is 15°.

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The measures of x, y and z are 40⁰, 90⁰ and 50⁰

A triangle is a three-sided polygon that consists of three edges and three vertices.

We know that co-interior angles are supplementary.

∠APQ+∠CPQ=180⁰

x+∠CPQ=180⁰

x+140⁰=180⁰

x=40⁰

∠BPR+∠PRD=180⁰

z+130⁰=180⁰

z=50⁰

Now, angles x, y and z form a line, hence they sum up to 180∘.

x+y+z=180⁰

40⁰+y+50⁰=180⁰

y=90⁰

Hence, the measures of x, y and z are 40⁰, 90⁰ and 50⁰

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The question is not complete, similar kind of question is given below.

In the given figure, AB || CD. Find the measure of x, y and z.

Answer: Female caribou have a wide range of weight. They can average anywhere from 51 (3 x 17) to 156 (2 x 2 x 3 x 13) kg.

Step-by-step explanation:

The number of pack Jill needs is 7.

The diagram shows the floor plan of Jill's dining room. Jill is going to cover the floor with wooden floorboards. The floorboards are sold in packs. One pack of floorboards will cover 2.25 m². Therefore, the number of packs Jill needs can be calculated as follows;

Therefore, let's find the area of the floor.

area of the floor  = area of the first rectangle + area of the second rectangle

area of the first rectangle = 3 × 2

area of the first rectangle = 6 m²

area of the second rectangle = 4.5 × 2

area of the second rectangle = 9 m²

area of the floor  = 15 m²

Therefore,

2.25 m² = 1 pack

15 m² = ?

cross multiply

number of pack = 15 / 2.25

number of pack = 6.66666666667

Therefore,

number of pack ≈ 7

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Answer: 250

Step-by-step explanation:

It says in the question that the first round was -350 but the second round she score 250 and the question wants to know how many points she scored in the second round with would be 250.

Step-by-step explanation:

the distance from a vertex of the quadrilateral to the touching points on the two sides emanating from the vertex is the same.

and that applies to each of the 4 vertices.

so, AB splits into the distance a (from A to the circle touching point on AB) and b (from the touching point on AB to B).

b = AB - a

in the same way, BC splits into b (B to circle touching point on BC) = AB - a, and c (circle touching point on BC to C).

c = BC - (AB - a) = BC - AB + a

CD splits into c (C to circle touching point on CD) = BC - AB + a, and d (circle touching point on CD to D).

d = CD - (BC - AB + a) = CD - BC + AB - a

DA now splits into d (D to circle touching point on DA) = CD - BC + AB - a, and into ... a (the circle touching point on DA to A).

a = DA - (CD - BC + AB - a) = DA - CD + BC - AB + a

0 = DA - CD + BC - AB

DA = CD - BC + AB = 8 - 5 + 4 = 7

Answer: yes

Step-by-step explanation:

7^2+24^2 = 625

[tex]\sqrt{625}[/tex] = 25

The answer 2x power of 2 + 3x + 1. Therefore, the answer of the equation is x = 2.

Equation:

An equation is a mathematical operator that contains two algebraic expressions on either side of an equals (=) sign. Shows the equivalence between the expression written on the left and the expression written on the right. Every equation in mathematics has L.H.S = R.H.S (left = right). We can solve an equation to find the value of an unknown variable that represents an unknown quantity. If an expression does not have an equal sign, it is not an equation. This is considered an expression.

Now,

It has been given that

[tex]\frac{2^{3x-1} +10}{7} = 6[/tex]

Cross multiplying, we get

[tex]2^{3x-1} +10 = 42[/tex]

Subtract 10 to both sides

[tex]2^{3x-1} = 32[/tex]

Write 32 in exponent form

[tex]2^{3x-1} = 2^{5}[/tex]

Since, base of both sides of the equation is 2. Hence, the exponent must be equal.

   3x - 1 = 5

⇒ 3x = 6

⇒ x = 2

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Answer:

Top TUV

Bottom: UV, UT, TV

Step-by-step explanation:

The scale factor from the larger to the smaller is 3/4

24(3/4) = 18

12(3/4) = 9

16(3/4) = 12

Answer:p-by-step explanation:

15 x$1.50 is $22.50 then add that to the monthly fee of $14.00 for a total of $36.50

The value of the angle 4 is 96 degrees as shown in the diagram.

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things.

From the given diagram, the measure of angle 1 and 3 are equal as well as 2 and 4.

Given the following angles

m<3 = 84 degrees

Since the measure of <3 and <4 lies on the same straight line, hence:

m<3 + m<4 = 180

84 + m<4 = 180

m<4 = 180 - 84

m<4 = 96 degrees

Hence the measure of angle 4 from the figure is 96 degrees

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Answer: Yes, but it's extremely hard to find

Step-by-step explanation:

The echo number 20222022202220222022 is the perfect square of 4496890281.

What echo number is a perfect square

An echo number has a perfect square if its square root is also a natural number. After some iterations we found that echo number 20222022202220222022 is a perfect square:

The echo number 20222022202220222022 is the perfect square of 4496890281.

Answer: They took away 5%

Step-by-step explanation:

If you get 50 and the you have  40 you get 5%

Total number of students that like chicken nuggets is 4/7 x G + 40/100 x B.

The percentage of entire student body that like chicken nuggets are (4/7 x G + 40/100 x B) / T x 100.

Given that 4/7 of the girls like chicken nuggets, if there are G girls, then the number of girls who like chicken nuggets is 4/7 x G.

Given that 40% of the boys like chicken nuggets, if there are B boys, then the number of boys who like chicken nuggets is 40/100 x B.

The total number of students who like chicken nuggets is 4/7 x G + 40/100 x B.

To find the percentage of the entire student body that likes chicken nuggets, divide the number of students who like chicken nuggets by the total number of students, and multiply by 100.

Let's say there are T total students.

The percentage of the entire student body that likes chicken nuggets is (4/7 x G + 40/100 x B) / T x 100.

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Answer:

I would recommend taking practice quizzes online for the level of math you are taking to find what areas you understand well and what areas you are struggling in. From there, you can review that specific area of math and refine your knowledge. Taking practice quizzes repeatedly until you are confident both in the mathematics and the test taking itself(if you struggle with test taking in general) will help a lot.

Answer:

Step-by-step explanation:

Study Time: I suggest you study over a period of time and try to understand the topic. For example, try to include breaks to help yourself relax. DO NOT cram lots of math into your head on an overnight studying marathon. Many people try that, and unless you have a photographic memory, it does not help at all.

Topics: Try to study one topic at a time so the information does not get mixed up in your head. Try to remember things with variables.

Resources: Ask your teacher what topics the test will cover and how many questions will be on the test. You can find lots of worksheets online and review explanations to similar questions on websites.

Morning before the test: Sleep early and wake up early. Try to relax and eat a healthy breakfast.

I wish you luck on your test!

By using the x- and y-intercepts, a graph of the function modeling the total number of tickets sold is shown in the image attached below.

The domain and range of each function is {-∞, ∞}.

The meaning of the x-intercept is that the initial number of student tickets sold is 600 tickets.

The meaning of the y-intercept is that the initial number of adult tickets sold is 300 tickets.

The slope of the function is 0.5 and it represents the number of tickets sold per week.

You can use the graph to determine a combination of ticket sales to meet the goal of $3,000 by adding each ordered pair (s, a) or (x, y) together.

Felina's graph is correct because it has the same x-intercept and y-intercept with the original graph.

In order to write a linear equation to describe this situation, we would a assign variable to the number of student tickets sold and the adult tickets sold respectively, and then translate the word problem into a linear equation as follows:

Since student are paying $5 while adults are paying $10 for a ticket and the athletic association need to raise $3000 by selling tickets, a linear equation that models the situation is given by:

5s + 10a = 3000

When s = 0, the value of a is given by:

5(0) + 10a = 3000

a = 300

When a = 0, the value of s is given by:

5a + 10s = 3000

s = 600

For the total number of tickets, we have this linear equation:

s + a = 450

In conclusion, we would use an online graphing calculator to plot the system of linear equations in order to determine the solution (point of intersection), which is at the ordered pair (300, 150).

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Complete Question:

The Marshall High School Athletic Association sells tickets for the weekly football games. Students pay $5 and adults pay $10 for a ticket. The athletic association needs to raise $3000 selling tickets to send the team to an out-of-town tournament.

1. Use x- and y-intercepts to graph the function modeling the total number of tickets sold on each coordinate plane.

2. Determine the domain and range of each function

On solving the provided question we cans ay that  the half life of the given exponential growth  radioactive isotope will be 3.2894067399  years.

The process of quantity growth over time is called exponential growth. occurs when the rate at which a quantity changes instantaneously with time is proportionate to the quantity itself. A data pattern that shows bigger increases with time is known as exponential growth. Compound interest yields exponential rewards in the world of finance. Savings accounts with compound interest sometimes see exponential growth. characterized by an extremely fast exponential growth rate rise (in size or extent). exponentially. The exponential function has the formula f(x)=abx where a and b are positive real values. Sketch exponential functions using the app below for different values of a and b. Describe verbally how modifying a and b changes the graph's form.

Here, Element X starts with 490 grams

After 1 year we have  (490 X 0.81 grams) or 396.9 grams

Now, We can solve for half-life by this equation:

Half life = (time  X log 2) / log (beginning amount / ending amount)

Half-life = (1 year X 0.30102999566) / log (490 / 396.9)

Half life = (1 year X 0.30102999566) / log (1.2345679012 )

Half life = (0.30102999566) / 0.091514981109

Half-Life = 3.2894067399  years

Thus, the half life of the given exponential growth  radioactive isotope will be 3.2894067399  years.

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Answer:

Math ba yan? Wala ba diyan example kung pano i solvee yan?

Step-by-step explanation:

11 cm

assuming all sides angles are right angles, opposing sides are equal in length or total length.

top bottom.

x = 5 +6 = 11

x = 11 cm

The quotient of 3b/4 divided by -c/6 is -9b/2c

Algebraic expressions are simply defined as those expressions that are made up of coefficients, variables, constants, terms and factors.

They are also seen as expressions that are composed of mathematical or arithmetic operations, such as;

From the information given, we have that;

3b/4 divided by -c/6

This is represented as;

3b/4 ÷ -c/6

Take the inverse of the divisor and multiply

3b/4 × 6/-c

18b/-4c

Divide the values

-9b/2c

Hence, the value is -9b/2c

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It should be noted that the addition of 1.17+ √63 will give an irrational number.

If p and q are integers and q is not equal to 0, then the number is in the form of p/q and is said to be rational. Among the rational number examples are 1/3, 2/4, 1/5, 9/3, and so forth.

All real numbers that are not rational numbers are referred to be irrational numbers in mathematics. In other words, it is impossible to describe an irrational number as the ratio of two integers.

In this case, the answer is irrational, as the square root of 63 is not a rational number and cannot be expressed as a fraction of two integers.

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Meg has drive 390 miles to visit Grandma.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are Given Number of miles Kristen drive = 65 miles

Rebecca drives two times as far as Kristin. Then Meg drives twice as far as Kristin and Rebecca combined

This means Number of miles Meg drive is equal to twice the number of miles driven Kristin .

Then equation we get;

Number of miles Meg drive = 2 × Number of miles Kristin drive =

Number of Miles Driven by Rebecca is equal to twice the sum of Number of miles Kristin drive and Number of miles Meg drive.

Then equation we get;

Number of miles Meg drive = 2 × (Number of miles Susie drive + Number of miles Meg drive) =

Hence Meg has drive 390 miles to visit Grandma.

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The root of the equation are x² + x − 5 = 0 are 2.85 and --3.85

quadratic equation is a second-order polynomial equation in a single variable x ax²+bx+c=0. with a ≠ 0 . Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

We can use the formula x =-b±√b²-4ac/2a to find the root of a quadratic equation

a = 1, b = 1 and c = -5

x= -(1) ± √ 5²-4× -5×1)/2

x = -1±√25+20)/2

x = -1±√45)/2

x = -1+6.7/2 or -1-6.7/2

x = 5.7/2or -7.7/2

x = 2.85 or -3.85

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Answer:

[tex]158[/tex][tex]cm^2[/tex]

Step-by-step explanation:

Since the formula is [tex]2(wl+hl+hw)[/tex], we can simply plug in the lengths.

Once calculated, the answer is [tex]158cm^2[/tex].

Hope it helped!

Answer:

  158 cm²

Step-by-step explanation:

You want the surface area of a rectangular prism whose net is shown.

The surface area of the prism is the area of the net. That area is the sum of the areas of the rectangles that make it up. The rectangles come in pairs that have the same area.

Down the middle we have two pairs of rectangles. One pair is 8 cm wide and 3 cm high; the other is 8 cm wide and 5 cm high. Together the area of those four rectangles is ...

  2(8 cm)(3 cm +5 cm) = 2(64 cm²) = 128 cm²

The "wings" of the net are rectangles that are 3 cm by 5 cm, so their total area is ...

  2(3 cm)(5 cm) = 30 cm²

The area of the net is then ...

  surface area = 128 cm² +30 cm²

  surface area = 158 cm²

__

Additional comment

If you like, you can use the area formula. It will tell you the same thing for this 3 × 5 × 8 cm prism.

  SA = 2(LW +H(L +W)) = 2(3·5) +8(3 +5)) = 2(15 +8·8) = 2(79) = 158 . . . cm²