An automobile purchased for ​$29,000 is worth ​$2400 after 7 years. Assuming that the​ car's value depreciated steadily from year to​ year, what was it worth at the end of the third​ year?

It equals a 9% decrease.

Answer:

9%

Step-by-step explanation:

We can do this problem by solving 91/100*100, which is 91, so 100-91=9

Answer:

A = 102   B = 78   C = 56

Step-by-step explanation:

All three sides of a triangle added up equals 180.

So 41 + 37 + A = 180

A = 102

A straight line = 180 degrees.

One measurement is 102, so the other is 78.

You now know B is 78, and that 3 angles equal 180.

46 + 78 + c = 180

c= 56

Answer:

Shelia is

Step-by-step explanation:

hope this helps plz mark brainlessly

Okay, here we have this:

Considering that all products have a 20% of descount, we obtain the following:

Cost of the mattress=Normal Cost*(100%-20%)

Cost of the mattress=Normal Cost*(80%)

Cost of the mattress=Normal Cost*(0.8)

Cost of the mattress=379.99*(0.8)

Cost of the mattress≈303.99

Finally we obtain that the new cost of the mattress is $303.99.

Answer:

64cm³

Step-by-step explanation:

( 4 x 4 x 4) cm x cm x cm

Answer:

300

Step-by-step explanation:

The given system of equations has no solution.

Given that a system of equations, 12x + 36y = −3 and −12x − 36y = 0, we need to solve it,

We know for a system of equations =

a₁x + b₁y = c₁ and a₂x + b₂y = c₂

If a₁ / a₂ = b₁ / b₂ = c₁ / c₂ then the system has infinite solutions.

If a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂ then the system has no solutions.

If a₁ / a₂ ≠ b₁ / b₂ then the system has a unique solution.

comparing the coefficients given,

-12/12 = -1

-36/36 = -1

-3/0 = -3

We get here the condition of a₁ / a₂ ≠ b₁ / b₂, which means that the system has no solution.

Hence the given system of equations has no solution.

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Answer:

the cougars

Step-by-step explanation:

Answer:

Cougars

Step-by-step explanation:

You can definitely tell they have more wins then the rest however in technical terms the change of 3 and 7 is higher than the others. Meaning there are 4 more wins than losses and that is more than the rest.

Answer:

\(a_n=3(-3)^{n-1}\)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: \(a_n=ar^{n-1}\)

where:

Given:

To find the common ratio r, divide consecutive terms:

\(\implies r=\dfrac{a_2}{a_1}=\dfrac{-9}{3}=-3\)

Therefore, the equation is:

\(a_n=3(-3)^{n-1}\)

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

6n+2

Step-by-step explanation:

Here, we are required to determine the intersection of plane R and P, the point which is not on plane P, the point where CE and DB intersect.

For the first line:

For the second line;

For the third line:

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Answer:

60 slices

Step-by-step explanation:

1 pizza = 10 slices

6 pizzas = 10 slices * 6 = 60 slices

Answer:

Integer & Rational

Step-by-step explanation:

It is not a whole number.

And integer is a negative number.

A rational number is a number that can be transformed into a fraction. \(\frac{3709}{1000}\)

Hope this helps!

The expression of (a + b + c) is equivalent to 16.5.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given are two circles intersecting at each others centers at D and E.

We can write the area of the common region as -

[A] = 4 x {(θ/180) x (πr²/2) - (1/2)r²sinθcosθ}

Now, we can write θ as -

cos(θ) = (3/6) = 1/2

θ = 60°

[A] = 4 x {(60/180) x (π(6)²/2) - (1/2)(6)²sin(60)cos(60)}

[A] = 4 x {(1/3 x 36π/2 - (1/2) x 36 x \(\sqrt{\frac{3}{2} }\) x 1/2}

[A] = 4 x {6π - 9 \(\sqrt{\frac{3}{2} }\) }

[A] = 24π + (-  9 \(\sqrt{\frac{3}{2} }\))

So, on comparing, with the expression below -

aπ + b\(\sqrt{c}\)

We get -

a = 24

b = - 9

c = 3/2

So, we get -

a + b + c

24 - 9 + 3/2

24 - 9 + 1.5

24 - 7.5

16.5

Therefore, the expression of (a + b + c) is equivalent to 16.5.

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Answer:

la primera es 10 la segunsa es 8000000000000

Answer:

Slope = 15/4

Step-by-step explanation:

Use the slope formula and you'll get the same answer.

Hope this helps:)

Answer:

x = -0.25

Step-by-step explanation:

-4 x (2 x 1) = 8x - 2 - 4

-4 x 2 = 8x - 2 - 4

-8 = 8x - 2 - 4

-8 + 4 + 2 = 8x

-2 = 8x

-2/8 = x

x =  -0.25

hoped this helped xx

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

Answer:

A

Step-by-step explanation:

Answer:

The correct choice would be (D)

Answer:587 is correct follow the line to the top and you will get 587

Step-by-step explanation:

Answer:

7<x<31

Step-by-step explanation:

The third side of any triangle must be more than the difference between the other two sides.

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

Put them together.

7<x<31 (or) 31>x>7

7<x<31 are the possible values of x.

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

Given that  side lengths of a triangle are 12, 19, and x units.

We need to find the value of x.

We know that the third side of any triangle must be more than the difference between the other two sides.

x is greater than difference of nineteen and twelve

x>19-12

x>7 (or) 7<x

The third side of any triangle must be less than the sum of the other two sides.

x<19+12

x<31 (or) 31>x

From this we get the interval as

7<x<31 (or) 31>x>7

Hence, 7<x<31 are the possible values of x.

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Answer:

The number is four (4)

Step-by-step explanation:

look at the picture above, it explains everything

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

the third one

Step-by-step explanation:

i took the test :)

We have that the conclusion Keisha make is

\(A+B=\frac{mp+(nq)}{qp}\) from the options below

Therefore

Option C is correct

From the Question we are told that

m, n, p, and q are all integers

\(p \neq 0 q \neq 0\\\\\A=\frac{m}{q} B=\frac{ n}{p}\)

Generally the equation for A.B  is mathematically given as

\(A*B=\frac{m}{q}*\frac{n}{p}\\\\A*B=\frac{mn}{qp}\)

Generally the equation for A.B  is mathematically given as

\(A+B=\frac{m}{q}+\frac{n}{p}\)

Finding LCM of the denominators and adding through we have

\(A+B=\frac{mp+(nq)}{qp}\)

The conclusion Keisha make is

\(A+B=\frac{mp+(nq)}{qp}\) from the options below

Therefore

Option C is correct

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Answer:

x= 1.99

f(x) = 1.99x + 3

Step-by-step explanation:

Hope this helps! (;

Answer:

f(1)=2. f(0)=4

if f(x)=-2 then x=3

SOLUTION

Given the image in the question tab, the following are the solution steps to get the correct statement

Step 1: Test statement A using the line l on the graph

It can be seen on the graph that the high temperature which was plotted on the y axis was actually constant for the entire number of days passes hence the statement is not true.

Step 2: Test statement B using the line m on the graph

It can be seen on the graph that the high temperature which was plotted on the y axis that the high temperature in Memphis actually decreased steadily. Hence the statement is true.

Step 3: Test statement C using the line m and p on the graph

It can be seen on the graph that the high temperature in Phoenix was colder than the high temperature in Memphis by checking the y-coordinate of the two lines. Hence the statement is not true.

Step 4: Test statement D using the line n and p on the graph

It can be seen on the graph that the line n reached the maximum point on the y-axis faster than line p. This implies that the high temperature in New Orleans rose faster than the high temperature in Phoenix. Hence the statement is not true.

ANSWER:

The statement B is true

Answer:

5^2

Step-by-step explanation:

For example:

a circle has 10 unit of radius, its area is pi10^2 = 314.16

then we dilate the radius by multiply by 5 is 50, pi50^2 = 7853.98

7853.98 ÷ 314.16 = 25

and 25 is equal to 5^2

Answer:

54.

Step-by-step explanation:

The fraction that are red = 3/(3+5) = 3/8.

So number of red chairs = 3 * 144/8

= 54.