Which function could represent the value of
an antique vase that decreases over time?
A- y = −x + 5 B- y = −x − 8
C- y = x − 3 D- y = x + 2

Answer:

x = 0.45882352

Step-by-step explanation:

-1.95 = -1.7 x/0.4

-1.95 = -4.25x

x = 0.45882352

A factor is a number that divides exactly into another number, leaving no residue. The factors of 12, for instance, are 1, 2, 3, 4, 6, and 12. Particularly in the areas of number theory, algebra, and arithmetic, factors play a crucial role in mathematics.

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Complete Question :

What do you mean by Factor?

The word "logarithm" is derived from the Greek meanings for "ratio" (logos) and "number" (arithmos).

In the 17th century, Scottish mathematician John Napier (1550-1617) developed logarithms as a tool for computing. He derived the phrase from the Greek words for ratio (logos) and number (arithmos).

Before mechanical (and later electronic) computers were developed, logarithms were essential for simplifying calculations in astronomy, navigation, surveying, and afterwards engineering. A logarithm is a mathematical formula that calculates how many times the base, or initial number, must be multiplied by itself to produce the target number. As a result of the relationship between logarithms and geometric progressions.

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Hey there!

Answer:

There isn't any options to choose from, however an equivalent expression to the given expression above would be [tex]13h[/tex].

Hope this helps! If not, comment below and lmk what else I can do to better assist you.

Answer:

x = 6

Step-by-step explanation:

6x²/x³ = 1/1

6/x = 1

x = 6

The y - intercept of 2x + y = -2 is -2.

Given straight line is 2x + y = -2.

We know that standard slope form of straight line is y = mx + c

Now we transform given equation to standard form of straight line :

The point at which a straight line cut the y-axis is called the y-intercept. Any point on the y-axis has a x-coordinate of zero.

Therefore, x-coordinate of y-intercept  is 0.

For finding y-intercept, we can substitute x by 0 and solve for y:

Therefore, the y - intercept of 2x + y = -2 is -2.

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The area of the courtroom is the sum of the areas of a rectangle and a triangle equal 45 m².

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

From the given diagram of the courtroom, its total area should be the sum of the area of a rectangle with a length of 9 m and width of 4 m and a triangle with a height of 3m and a base of 6 m.

Therefore,

The area of the courtroom is,

= (9×4) + (1/2)×3×6 m²      [area of triangle = (1/2)×base×height, area of  

                                                          rectangle is (length×width)]

= 36 + 9 m².

= 45m².

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The total price including tax, Fawaz has to pay is $36 round to the nearest cent.

To find the total price of the phone including tax, we need to add the tax amount to the price of the phone. The tax rate is 9%, which means that for every $1 of the price of the phone, $0.09 will be added as tax. To find the total price including tax, we can use the following formula:

Total price = Price of the phone + (Price of the phone x Tax rate)

Given the information in the problem, we know that:

Price of the phone = $33

Tax rate = 9% (expressed as a decimal)

Plugging these values into the formula, we get following equation:

Total price = $33 + ($33 x 0.09)

To solve for total price, we need to calculate ($33 x 0.09)

= $3

Total price = $33 + $3

Total price = $36

So the total price including tax, Fawaz has to pay is $36 round to the nearest cent.

In simple words, we have multiplied the price of the phone with the tax rate and then added the tax amount with the price of the phone to get the total price including tax.

Note: The tax rate is given as 9% which is equal to 0.09 in decimal form.

Therefore, The total price including tax, Fawaz has to pay is $36 round to the nearest cent.

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Total price = $33 + ($33 x 0.09)

To solve for total price, we need to calculate ($33 x 0.09)

= $3

Total price = $33 + $3

Total price = $36

So the total price including tax, Fawaz has to pay is $36 round to the nearest cent.

The unit rate is 120 words per minute and 185 words per minute

An equation consists of numbers and variables linked together by mathematical operations to form an expression.

A linear equation is in the form:

y = mx + b

Where m is the rate of change and b is the initial value

a) For the first graph, using the points (3, 360) and (2, 240)

Unit rate = Slope = (240 - 360) / (2 - 3) = 120 words per minute

a) For the second graph, using the points (0, 0) and (1, 185)

Unit rate = Slope = (185 - 0) / (1 - 0) = 185 words per minute

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The interval in which the graph increasing is (10,∞). The correct option is D.

The absolute value or modulus of a real number x denoted |x| in mathematics, is the non-negative value of x regardless of its sign. Specifically, if x is a positive number,|x|=x.

In discrete mathematics, and more specifically in graph theory, a graph is a structure consisting of a set of objects, some of which are "related" in some way. The objects correspond to mathematical abstractions known as vertices, and each pair of related vertices is known as an edge.

The given absolute function is h (x) =lx-10l+6. When we plot the graph of the function it is observed that the graph is increasing from 10 to ∞. The graph is attached with the answer below.

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Answer:

10cm

Step-by-step explanation:

same gghshbsbbsnsnnsbsbxbbxbdbbxbxbbdbdbdbbdbdndndnndndndnnfnfbbdhdn

Yes, AAS, you can prove that the triangles are congruent.

Triangles are congruent when all three sides and all three angles of one triangle are equal to the corresponding sides and angles of the other triangle.

we know that the measure of angle TXH is equal to the measure of angle TWH. This means that the two triangles,

THX and WHX, are congruent by the Angle-Angle (AA) Congruence Postulate.

The theory used in this question is the Angle Bisector Theorem. This theorem states that when a line segment bisects an angle, the measure of the angle formed by the line segment and one side of the angle is equal to the measure of the angle formed by the line segment and the other side of the angle.

1. Given that line segment XH bisects <THW and <T=<W

2. Use the Angle Bisector Theorem to conclude that the measure of angle TXH is equal to the measure of angle TWH

3. Use the Angle-Angle (AA) Congruence Postulate to conclude that the two triangles, THX and WHX, are congruent.

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The type of soil present in the sample is Silty loam.

A classification tool called soil texture is used in both the field and the lab to identify different soil types based on their physical textures. Both qualitative and quantitative techniques, including the hydrometer method, can be used to determine the texture of the soil.We have silty loam present in the soil sample because it contains 20% sand, 10% clay, and 70% silt.

Silty loam is the term used to describe soil that has 20% sand, 70% silt, and 10% clay. Sandy Clay loam is a soil type that has 60% sand, 10% silt, and 30% clay.The material will be made up of 40% Silt, 30% Sand, and 30% Clay higher; muggy

Alkaline soils are common in arid climates, making the area wet and becoming more acidic as the pH value decreases.

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Equivalent sets must have the same cardinality, i.e., n(A) = n(B) where, n(A ) and n(B) are the number of elements in set A and set B respectively.

Equivalent Sets means that there should be a one-to-one correspondence between the elements of both sets. Equal sets and equivalent sets are two different concepts. A is equivalent to B if A and B are two sets such that n(A) = n(B). This means that two equal sets are always equal, but the opposite of the same may or may not be true.

Statement: Set A and Set B are equivalent.

Proof: Let us consider two sets A and B. Let 'a' be any member of A. We need to show that "a" is also a member of B. Then let "b" be any member of B. We must show that b is also a member of A. If the members of A and B are defined by an algorithm or set of features, it must be shown that algorithms that define elements of A also define elements of B, and vice versa.

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Complete question:

How do you prove equivalent sets?

The factors considered when deciding to make a good and service are

a)Determining who has the greatest need

b)finance of prospective buyer

d) way to produce items at a lower cost or higher quality

When deciding how to make goods and services, it's important to take into consideration the needs of the customers. Identifying who has the greatest need for the product is crucial in determining how to design and produce it.

Another important factor is the cost of production, a way to produce the item at a lower cost or higher quality must be considered as it will affect the final price and the competitiveness of the product in the market.

While maximizing profit is always a goal, it should not be the only deciding factor when determining how to make goods and services, as other factors such as customer need and production cost also play important roles.

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Answer:

44 degrees

Step-by-step explanation:

if it's worded the way I think. You definitely have the wording mixed up but you add both angles together and set equal to 90.

Hope it helps! :)

The dimensions of the scale drawing are 10cm x 16cm.

A scale drawing is a representation of an object or a space that is smaller or larger than the actual object or space. The scale of a drawing is represented as a ratio, such as 1:6, which means that every 1 unit on the drawing represents 6 units on the actual object or space.

In this case, we are given a rectangular flag that has dimensions of 60 cm by 96 cm, and a scale of 1:6. This means that for every 1 cm on the scale drawing, the actual flag is 6 cm. To find the dimensions of the scale drawing, we need to divide the dimensions of the actual flag by the scale.

To find the length of the scale drawing, we divide the length of the actual flag (60 cm) by the scale (6):

Length of scale drawing = 60 cm / 6 = 10 cm

To find the width of the scale drawing, we divide the width of the actual flag (96 cm) by the scale (6):

Width of scale drawing = 96 cm / 6 = 16 cm

So, the dimensions of the scale drawing are 10cm x 16cm.

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Answer:

  (b)  Domain: all real numbers; Range: {-24}

Step-by-step explanation:

You want the domain and range of the function f(x) = -24.

The domain of the function is the set of values of x for which it is defined. The function f(x) is defined for all x, so the domain is all real numbers.

The range is the set of output values of the function. This function has only one output value: -24. The range of the function is {-24}.

So, the number of books already read by both Aubrey and Eli is 81 books.

Aubrey read 29 books and Eli read 52 books. To find the total number of books they have read together, you need to add the number of books read by Aubrey to the number of books read by Eli. This is because the total number of books read by both of them is the sum of the number of books read by each of them individually.

In mathematical terms, if Aubrey reads x books and Eli reads y books, the total number of books read by both of them is represented as x + y.

In this case, the number of books read by Aubrey is 29 and the number of books read by Eli is 52. So, to find the total number of books read by both of them, you would add 29 + 52 = 81

Therefore, the number of books already read by both Aubrey and Eli is 81 books.

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If Aubrey reads x volumes and Eli reads y books, their combined reading total is represented mathematically as x + y.

In this instance, Eli has read 52 novels, compared to 29 books read by Aubrey. Therefore, you would add 29 + 52 = 81 to determine the total amount of books that both of them have read.

Answer:

5 in

Step-by-step explanation:

20 ft-9[tex]\frac{1}{2}[/tex] in+ 2[tex]\frac{1}{2}[/tex] in = 21 ft   meaning, Tim has to jump 2[tex]\frac{1}{2}[/tex] in more inches just to get to 21 ft, then...

He needs to jump an additional    2[tex]\frac{1}{4}[/tex] + [tex]\frac{1}{4}[/tex] = 2[tex]\frac{2}{4}[/tex] = 2[tex]\frac{1}{2}[/tex] in to break the record.  Note:  he needs to jump at least [tex]\frac{1}{4}[/tex] in farther than the record because jumps only are measured to the nearest [tex]\frac{1}{4}[/tex] inch.

Therefore Tim must jump 2[tex]\frac{1}{2}[/tex] in + 2[tex]\frac{1}{2}[/tex] in = 5 in farther to break the record.

Answer: Sorry!

Step-by-step explanation:

Hello! Will you please include the instructions? If you do, I can help you!

Step-by-step explanation:

x² - 9

1. There is no common factor other than 1.

2. √x² = x; √9 = 3

3. a = x; b = 3

4. x² - 9 = (x - 3)(x + 3)

The greatest integer function has the domain of a set of all real numbers (R), and its range is the set of all integers (Z).

The greatest integer function gives the greatest integer, which is less than or equal to a given number. The greatest integer less than or equal to a given number x can be represented as ⌊x⌋. Mathematically, the greatest integer function ⌊x⌋ is defined as follows:

⌊x⌋ = a, where a ≤ x < a + 1 and 'a' is an integer.

The greatest integer function has the domain of the set of all real numbers (R), and its range is the set of all integers (Z).

--The given question is incorrect; the correct question is

" What is the domain and range of the greatest integer function?"--

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The answer is:

The given parameters are:

Start = 24 inches

Rate = 6 inches/second

The function model of the height is determined using a linear function:

h(t) = Start + Rate × t

Where: t represents the time in seconds

So, we have:

h(t) = 24 + 6 × t

This gives

h(t) = 24 + 6t

After 22 seconds, the height of the periscope will be

h(22) = 24 + 6 × 22

Multiply

h(22) = 24 + 132

Add

h(22) = 156

Hence, the maximum height is 156 inches.

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The complete question is:

what function models the height of the periscope lens at time t? If the periscope reaches its maximum height after ascending for 22 seconds, what is the maximum height in feet? ( 24 inches above the surface and ascends at 6 inches per sec.)​

Answer:

87 students

Step-by-step explanation:

We know

12 out of every 15 students owns a cell phone, so the ratio of student who owns cell phone is 12:3. For every 15 students, there are 12 own cellphones, and 3 do not.

To find there are 435 students surveyed, how many do not own a cell phone? We take

435 / 15 = 29

3 x 29 = 87 students

So, 87 students do not own a cellphone.

A right angle does not always have two equal sides, only in the case of an isosceles triangle it will have two equal sides.

A triangle is said to have a right angle if one of the angles is 90 degrees. Right triangles are those having angles at 90 degrees, which are referred to as right angles.

The Pythagorean rule may be used to understand the relationship between the different sides of this triangle. The biggest side, also known as the hypotenuse, is the side that forms the right angle.

The right triangles are further divided into isosceles and scalene right triangles based on the other angle values.

Thus, A right angle does not always have two equal sides, only in the case of an isosceles triangle it will have two equal sides.

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Transfer all terms to one side of the equation, usually the left, using addition or subtraction. Factorise the equation completely. Equate each factor equals zero, and then solve. Record each solution from Step 3 as a solution to the original equation.

For example, we have an equation x² + 2x = 8x – 8

Step 1. First, subtract 8x from each side.

x² + 2x – 8x = 8x – 8x – 8

x² – 6x = -8

Now, add 8 to each side.

x² – 6x + 8 = -8 + 8

x² – 6x + 8 = 0

Step 2. We identify the left as a trinomial and factor it accordingly:

(x – 2)(x – 4) = 0

Now the two factors are (x – 2) and (x – 4).

Step 3. Now we assigned each factor equal to zero.

(x – 2) = 0 and (x – 4) = 0

x = +2 and x = +4

Step 4. The last step is to join the two previously solved solutions, x = 2 and x = 4, into one solution for the original problem.

x² + 2x = 8x – 8

x = 2, 4

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The value of the stock will be $1,179.98 in 2024 (After rounding the answer off to the nearest dollar).

It is given that steve bought $2,000 worth of stocks in 2019 and its values have been decreasing by 10% each year,

So in 2020 the value will become

$(2,000-(10% of 2,000))

=$(2,000-(200))

=$1,800

in 2021,

$(1,800-(10% of 1,800))

=$(1,800-(180))

=$1,620

in 2022,

$(1,620-(10% of 1,620))

=$(1,620-(162))

=$1,458

in 2023,

$(1,458-(10% of 1,458))

=$(1,458-(145.8))

=$1,312.2

and finally in 2024,

$(1,312.2-(10% of 1,312.2))

=$(1,312.2-(131.22))

=$1,179.98

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The solution is Option B , Option C , Option D.

The value of x from the triangle is x = 44°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side ∠A = 82°

The measure of side ∠B = 54°

The measure of side ∠C = x°

Now , for a triangle ,

∠A + ∠B + ∠C = 180°

Substituting the values in the equation , we get

82° + 54° + x° = 180°

On simplifying the equation , we get

136° + x° = 180°

Subtracting 136 on both sides of the equation , we get

x = 180° - 136°

x = 44°

Now , for a straight line , the angle in a straight line is 180°

So , x + y = 180°

Substituting the values in the equation , we get

44° + y = 180°

Subtracting 44° on both sides of the equation , we get

y = 136°

Now . the measure of z = measure of y ( alternate interior angles )

So , z = 136°

And , the measure of exterior angle of a triangle = sum of the opposite interior angle

Therefore , y = z = 136°

Hence , the measures of triangles are solved

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