1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Olin [163]
3 years ago
14

A certain model of automobile is available in seven exterior colors, three interior colors, and four interior styles. In additio

n, the transmission can be either manual or automatic, and the engine can have either four or six cylinders. How many different versions of the automobile can be ordered?
Mathematics
1 answer:
VikaD [51]3 years ago
6 0

Answer:

336 version

Step-by-step explanation:

To determine the total possible number of combination we will use the product rule

Total numbers of exterior colour 7

Total number of interior colour 3

Total number of interior style 4

Total number of transmission option 2

Total number of engine option 2 therefore the total combination is

7*3 *4*2*2 = 336 possible combination

You might be interested in
Find the volume of the figure.
jeka57 [31]

Hello from MrBillDoesMath!

Answer:

1283.3

Discussion:

Volume of figure =

volume of cone + volume of cylinder =

(1/3) Pi r^2 h       + Pi r^2 h                    =

(1/3) Pi (7)^2* 7   + Pi (7)^2 * 6  =

Pi * 7^2 (  (1/3) *7 + 6) =                      => using PI is approx 22/7

(22/7) * 7^2 ( 7/3 + 6) =

(22/7)* 49 (25/3) = 1283.3


Thank you,

MrB

3 0
3 years ago
Picturing the way a volcano erupts to remember how a volcano functions is called
SOVA2 [1]
The correct answer to this question is letter A which is visualizing. Visualizing is the act of picturing a certain situation in your head to recall how it works. In this example, you want to remember how a volcano functions. A volcano erupts. So in order to remember this, you picture in your mind a volcano that is erupting. So once you are asked a question about the functions of a volcano, your mind will immediately show the picture of a volcano erupting. 
8 0
3 years ago
Read 2 more answers
X^+17x+72=12 factoring quadratic equation
Tom [10]

Answer:

The first term is, x2 its coefficient is 1 .

The middle term is, -17x its coefficient is -17 .

The last term, "the constant", is +60

Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -17 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19

-12 + -5 = -17 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -5

x2 - 12x - 5x - 60

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-12)

Add up the last 2 terms, pulling out common factors :

5 • (x-12)

Step-5 : Add up the four terms of step 4 :

(x-5) • (x-12)

Which is the desired factorization

Equation at the end of step

1

:

(x - 5) • (x - 12) = 0

STEP

2

:

Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : x-5 = 0

Add 5 to both sides of the equation :

x = 5

Solving a Single Variable Equation:

2.3 Solve : x-12 = 0

Add 12 to both sides of the equation :

x = 12

Supplement : Solving Quadratic Equation Directly

Solving x2-17x+60 = 0 directly

Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula

Parabola, Finding the Vertex:

3.1 Find the Vertex of y = x2-17x+60

For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000

Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :

y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 + 60.0

or y = -12.250

Parabola, Graphing Vertex and X-Intercepts :

Root plot for : y = x2-17x+60

Axis of Symmetry (dashed) {x}={ 8.50}

Vertex at {x,y} = { 8.50,-12.25}

x -Intercepts (Roots) :

Root 1 at {x,y} = { 5.00, 0.00}

Root 2 at {x,y} = {12.00, 0.00}

Solve Quadratic Equation by Completing The Square

3.2 Solving x2-17x+60 = 0 by Completing The Square .

Subtract 60 from both side of the equation :

x2-17x = -60

Now the clever bit: Take the coefficient of x , which is 17 , divide by two, giving 17/2 , and finally square it giving 289/4

Add 289/4 to both sides of the equation :

On the right hand side we have :

-60 + 289/4 or, (-60/1)+(289/4)

The common denominator of the two fractions is 4 Adding (-240/4)+(289/4) gives 49/4

So adding to both sides we finally get :

x2-17x+(289/4) = 49/4

Adding 289/4 has completed the left hand side into a perfect square :

x2-17x+(289/4) =

(x-(17/2)) • (x-(17/2)) =

(x-(17/2))2

Things which are equal to the same thing are also equal to one another. Since

x2-17x+(289/4) = 49/4 and

x2-17x+(289/4) = (x-(17/2))2

then, according to the law of transitivity,

(x-(17/2))2 = 49/4

We'll refer to this Equation as Eq. #3.2.1

The Square Root Principle says that When two things are equal, their square roots are equal.

Note that the square root of

(x-(17/2))2 is

(x-(17/2))2/2 =

(x-(17/2))1 =

x-(17/2)

Now, applying the Square Root Principle to Eq. #3.2.1 we get:

x-(17/2) = √ 49/4

Add 17/2 to both sides to obtain:

x = 17/2 + √ 49/4

Since a square root has two values, one positive and the other negative

x2 - 17x + 60 = 0

has two solutions:

x = 17/2 + √ 49/4

or

x = 17/2 - √ 49/4

Note that √ 49/4 can be written as

√ 49 / √ 4 which is 7 / 2

Solve Quadratic Equation using the Quadratic Formula

3.3 Solving x2-17x+60 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 1

B = -17

C = 60

Accordingly, B2 - 4AC =

289 - 240 =

49

Applying the quadratic formula :

17 ± √ 49

x = —————

2

Can √ 49 be simplified ?

Yes! The prime factorization of 49 is

7•7

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 49 = √ 7•7 =

± 7 • √ 1 =

± 7

So now we are looking at:

x = ( 17 ± 7) / 2

Two real solutions:

x =(17+√49)/2=(17+7)/2= 12.000

or:

x =(17-√49)/2=(17-7)/2= 5.000

Two solutions were found :

x = 12

x = 5

Step-by-step explanation:

please mark my answer in brainlist

8 0
3 years ago
Need help on my math work here is a pic of the question
faltersainse [42]

Answer:

-3

Step-by-step explanation:

A = midpoint

-17 + 5 = -12

-12/2 = -6 = A

-6 + 0 = -6

-6/2 = -3 = B

8 0
2 years ago
Read 2 more answers
Which of the following finance options will have the lowest total financed
Pavlova-9 [17]

Answer:

A is the answer

Step-by-step explanation:

did the test hope this helps

8 0
3 years ago
Other questions:
  • 80 pounds to 90 pounds, by what percentage did mr. mathewson increase the amount of weight he lifted?
    13·1 answer
  • Rate change word problems. Question attached
    15·1 answer
  • Is 0.124356 rational or irrational
    10·1 answer
  • PLEASE HELP with both of them I will mark brainliest
    8·1 answer
  • 5 Simple Algerba 2 Questions.
    7·1 answer
  • Simplify. Write your answer in exponent form.
    12·1 answer
  • How do I find the slant height of a cone with a surface area of 734.76 yd and a radius of 9 yd?
    14·1 answer
  • Which describes a number that cannot be irrational?
    13·1 answer
  • In AABC, m2A = 65° and m2B = 80°.
    5·1 answer
  • If v•w=0, then the two vectors v and w are
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!