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
leonid [27]
3 years ago
14

Suppose a test has six multiple-choice questions with four options and eight true/false questions. If a person responds to all q

uestions, in how many ways can the 14 questions be answered?
Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

1,360

Step-by-step explanation:

Ok, so for the first 6 questions, if each one can be answered 4 different times, that would mean that it would be 6 to the 4th power (or 6 x 6 x 6 x 6)

That would be 1296.

Then, we have the other 8 questions, that can be answered 2 different ways. That would be represented as 8 to the second power (or 8 x 8)

That would be 64.

Now, we have to add the two numbers together to get the total. 1296+64 = 1,360

That's how you get the answer! I hope this is correct!

You might be interested in
How do you solve 6-9(4p-3)= 2(6p+7)+3
Alika [10]

Answer:

p=  1/3

​ =0.333

Step-by-step explanation:

Simplifying

6 + -9(4p + -3) = 2(6p + 7) + 3

Reorder the terms:

6 + -9(-3 + 4p) = 2(6p + 7) + 3

6 + (-3 * -9 + 4p * -9) = 2(6p + 7) + 3

6 + (27 + -36p) = 2(6p + 7) + 3

Combine like terms: 6 + 27 = 33

33 + -36p = 2(6p + 7) + 3

Reorder the terms:

33 + -36p = 2(7 + 6p) + 3

33 + -36p = (7 * 2 + 6p * 2) + 3

33 + -36p = (14 + 12p) + 3

Reorder the terms:

33 + -36p = 14 + 3 + 12p

Combine like terms: 14 + 3 = 17

33 + -36p = 17 + 12p

Solving

33 + -36p = 17 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.

33 + -36p + -12p = 17 + 12p + -12p

Combine like terms: -36p + -12p = -48p

33 + -48p = 17 + 12p + -12p

Combine like terms: 12p + -12p = 0

33 + -48p = 17 + 0

33 + -48p = 17

Add '-33' to each side of the equation.

33 + -33 + -48p = 17 + -33

Combine like terms: 33 + -33 = 0

0 + -48p = 17 + -33

-48p = 17 + -33

Combine like terms: 17 + -33 = -16

-48p = -16

Divide each side by '-48'.

p = 0.3333333333

Simplifying

p = 0.3333333333

3 0
3 years ago
Read 2 more answers
The nominal rate on Sarah’s loan is 7. 250%. If the interest is compounded monthly, what rate of interest is Sarah actually pa
ella [17]

The correct statement is that Sarah is paying interest compounded monthly at the rate of 7.496%.. So, the correct option from the above statement is B.  

Compound interest can be calculated by the way of applying the values to the formula given in the information.  

<h3>Compound Interest</h3><h3 />
  • Compound interest is best defined with the terms as interest given on accrued interest or the accumulated interest in addition to the interest on the principalprincipal amount.

  • The formula to calculate Compounded interest is as below,

  • \rm Compounded\ Interest = 10000(1+ \dfrac {0.0725}{12})^1^2\\\\\\\rm Compounded\ Interest =10000(1+0.006)^1^2\\\\\\\rm Compounded\ Interest =10749.58\\

  • The interest to be paid is calculated as $749.58 assuming that the principal was $10000 and the time for such loan was 1 year in the absence of information.

 

  •  Calculating further, we can find that the effective rate of interest on such a loan is at the rate of 7.496%, which is rounded off to the nearest three decimal places.

Hence, the correct option is B that the actual interest paid by Sarah at the rate of 7.250% for the period of 1 year will be effectively 7.496%

 

To know more about compound interest, click the link below.

brainly.com/question/25857212

5 0
3 years ago
at 4:00 p.m a palm tree casts a shadow of 27 feet while 4 foot bird of paradise plant nearby a shadow is 3 feet
Serga [27]
By similar triangles...

p/27=4/3

p=36ft
6 0
3 years ago
Help me with this please.
STatiana [176]
Yeskcpowp kecksowofi h wncksorigud meocosuebd wkxos
6 0
3 years ago
Drag each part of the equation to categories it as a term or a coefficient in the expression. Parts that are neither a term nor
faust18 [17]

Answer:

In the given expression:

Term =  x , x

Coefficient= -2, (\frac{3}{4})

Neither one  = 5

Step-by-step explanation:

Here, the given expression is :  -2x+\frac{3}{4} x  +5

Now, in the polynomial of the formax^{2}   + bx + c

All the x terms involving any powers of x  are 'TERM'

Like x^{2}  , x

All the co efficient of the x in the polynomial are called 'Co -efficient.

Here, a , b are co efficient.

The terms in the polynomial which are neither coefficient  nor terms are called 'Constants' . Here, c is constant.

Now, in the given expression:

Term =  x , x

Coefficient= -2, (\frac{3}{4})

Neither one  = 5

5 0
4 years ago
Other questions:
  • When you get home to plant the flowers, you have 3 different flowerbeds that you plan on planting flowers.
    5·2 answers
  • Given: AD ≅ BC and AD ∥ BC Prove: ABCD is a parallelogram. Statements Reasons 1. AD ≅ BC; AD ∥ BC 1. given 2. ∠CAD and ∠ACB are
    15·2 answers
  • (4b) A rocking horse has a weight limit of 60 pounds. What percentage of the weight limit is 114 pounds? *
    11·1 answer
  • - 5.2-(-3.1) + 5.2<br> I
    14·2 answers
  • Pls answer number 13 I will put u Brainly solve x and z
    9·2 answers
  • Henry subracts 16 from it and gets an answer of 13.9 what was the orginal number​
    7·2 answers
  • Does the graph below show a proportional<br> relationship? Why or why not?
    12·1 answer
  • Solve for x. please please help me please
    14·1 answer
  • Please help me with all ASAP I’ll mark brainly
    8·1 answer
  • what is the total utility at 4 units and the marginal utility when jack goes from consuming three pop tarts to four pop tarts?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!