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
Gnom [1K]
3 years ago
11

1. If a, b, c, d, and e are whole numbers and a(b(c

Mathematics
1 answer:
mars1129 [50]3 years ago
5 0

Answer:

a CANNOT be even ⇒ answer A

Step-by-step explanation:

* Lets revise the rules of even and odd numbers

- Even numbers any number its unit digit is (0 , 2 , 4 , 6 , 8)

- Odd numbers any number its unit digit is (1 , 3 , 5 , 7 , 9)

# even + even = even ⇒ 2 + 4 = 6  

# odd + odd = even ⇒ 1 + 3 = 4  

# odd + even = odd ⇒ 1 + 2 = 3  

# even × even = even ⇒ 2 × 4 = 8

# odd × odd = odd  

⇒ 3 × 5 = 15

# odd × even = even  ⇒ 5 × 6 = 30

∵ a[b(c + d) + e] = odd

∵ odd × odd = odd  

∴ a must be odd and [b(c + d) + e] must be odd

∵ odd + even = odd

∵ odd × even = even

# Case 1

∴ b(c + d) must be odd  if e even

∵ b(c + d) is odd

∴ b must be odd and (c + d) must be odd

∵ c + d must be odd

∵ odd + even = odd

∴ c or d can be even

- We now now that e , c and d can be even

# case 2

∴ b(c + d) must be even  if e odd

∵ b(c + d) is even

∵ even × even = even

∴ b and (c + d) both can be even

∵ c + d can be even

∴ c or d can be even or odd

- We now now that e , c , d and b can be even

∴ Only a can not be even

* a CANNOT be even

You might be interested in
Find the sum of (4x^3+2x) + (8x^3+4)
Savatey [412]
The answer would be 12x^3+ 2x + 4
5 0
3 years ago
Can someone help me in number 3 please
Sholpan [36]

Area of rectangle is the multiplication between the sides.


The first rectangle:


A = (2x + 5) . (3x - 2)

A = 2x . 3x - 2 . 2x + 5 . 3x - 2 . 5

A = 6x² - 4x + 15x - 10

A = 6x² + 11x - 10


The second rectangle:


A = (5y + 5) . (2y - 3)

A = 5y . 2y - 3 . 5y + 5 . 2y - 3 . 5

A = 10y² - 15y + 10y - 15

A = 10y² - 5y - 15

4 0
3 years ago
A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated
lora16 [44]

Answer:

C would be your answer. If im not mmistaken but im 99% sure

Step-by-step explanation:

Analyze the table below and complete the instructions that follow.

Sports

Drama

Comedy

Total

Male

8

2

5

15

Female

3

6

6

15

Total

11

8

11

30

A survey asked 30 people what their favorite genre of television broadcasting was, and the results were tabulated above. Find the probability that a male chosen at random watches drama.

4 0
3 years ago
If f(x)=3x^3 then what is the area enclosed by the graph of the function, the horizontal axis, and vertical lines at x=2 and x=4
Ber [7]

Answer:

Area: 180 units2 (units 2 is because since the are no specific unit given but every area should have a unit  of measurement)

Step-by-step explanation:

The area enclosed by the graph of the function, the horizontal axis, and vertical lines is the integral of the function between thos two points (x=2 and x=4)

So , let's solve the integral of f(x)

Area =\int\limits^2_4 3{x}^3 \, dx = 3*x^4/4+C

C=0

So if we evaluate this function in the given segment:

Area= 3* (4^4)/4-3*(2^4)/4= 3*(4^4-2^4)/4=180 units 2

Goos luck!

5 0
2 years ago
You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, an
Mila [183]
This question can be approached using the present value of annuity formula. The present value of annuity is given by PV=P\left( \frac{1-\left(1+ \frac{r}{t} \right)^{-nt}}{ \frac{r}{t} } \right), where: PV is the present value/amount of the loan, P is the periodic (monthly in this case) payment, r is the APR, t is the number of payments in one year and n is the number of years.

Given that the<span> financing is for a new road bike of $2,500 and that the bike shop offers a 13.5% APR for a 24 month loan.

Thus, PV = $2,500; r = 13.5% = 0.135; t = 12 payments (since payment is made monthly); n = 2 years (i.e. 24 months)

Thus,

</span>2500=P\left( \frac{1-\left(1+ \frac{0.135}{12} \right)^{-2\times12}}{ \frac{0.135}{12} } \right) \\  \\ =P\left( \frac{1-\left(1+ 0.01125 \right)^{-24}}{ 0.01125 } \right)=P\left( \frac{1-\left(1.01125 \right)^{-24}}{ 0.01125 } \right) \\  \\ =P\left( \frac{1-0.764531}{ 0.01125 } \right)=P\left( \frac{0.235469}{ 0.01125 } \right)=20.9306P \\  \\ \Rightarrow P= \frac{2500}{20.9306} =119.44
<span>
Therefore, his monthly payment is $119.44</span>
6 0
3 years ago
Other questions:
  • Solve the system. find x,y, and z please show all steps<br><br> x-y+z=1<br> x+y+3z=-3<br> 2x-y+2z=0
    9·1 answer
  • A rectangle is shown below.
    12·1 answer
  • 36x – 8y2 when x = 3 and y = –6
    9·2 answers
  • Eight less than four times a number
    11·2 answers
  • The low temperature in Anchorage, Alaska today was -4°F. The low
    15·1 answer
  • Hey um does anyone wanna help me?
    8·1 answer
  • Please help i will give brainlist don't answer if you don't know it
    12·1 answer
  • Can anyone help me on this last one
    8·2 answers
  • What is the Value of “X”<br><br><br> Type answer -
    13·2 answers
  • (2x-7)(x+2)+(3x+7)(x+2)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!