MATHEMATICS HIGH SCHOOL

M+ m + nm; use m = 6, and n = 4

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

6+6+(4)(6)

12+24

Answer 2

Answer:

Answer:

Step-by-step explanation:

Insert the given values:

$(6)+(6)+(4)(6)$

Simplify multiplication:

$6+6+24$

Simplify addition:

$12+24\n\n36$

:Done

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from 1970 to 1980 the consumer price index increased from 38.8 to 82.4. If a container of onion dip cost $0.48 in 1970 and the price of onion dip increased at the same rate as the CPI from 1970 to 1980, by approximately how much did the price of a container of onion dip increase from 1970 to 1980

Answers

We need to find the percent increase from 38.8 to 82.4, so

x * 38.8 = 82.4
x = 82.4/38.8
x = 2.1237

Multiply by 100 to convert to percentage (move decimal 2 places to the right)

2.1237 = 212.37%

Now we can apply this percentage increase to the onion dip...

0.48 x 212.37% =
0.48 x 2.1237 = 1.019

Round to the nearest cent $1.02 is the amount of increase. Now add it to the original price to get today's price...

$1.02 + .48 = $1.50

Answer:

$0.54

Step-by-step explanation:

2. Which is larger?The common ratio, r , in a geometric sequence whose second term is
24 and whose fifth term is 1536
or
The common difference, d , in an arithmetic sequence whose fourth
term is 16 and whose seventh term is 31.

Answers

Answer:

The common difference d is larger than the common ratio r

Step-by-step explanation:

The common difference in the arithmetic sequence $d=u_(n)-u_(n-1)$

The nth term in the arithmetic sequence is $a_(n)=a+(n-1)d$ , where a is the first term

The common ratio in the geometric sequence $r=(u_(n))/(u_(n-1))$

The nth term in the geometric sequence is $a_(n)=a(r)^(n-1)$ , where a is the first term

Geometric sequence

∵ The second term is 24

∴ $u_(2)$ = 24

∵ $u_(2)=a(r)^(2-1)=ar$

- Equate it by its value

∴ ar = 24 ⇒ (1)

∵ The fifth term is 1536

∴ $u_(5)$ = 1536

∵ $u_(5)=a(r)^(5-1)=ar^(4)$

- Equate it by its value

∴ $ar^(4)$ = 1536 ⇒ (2)

Divide (2) by (1)

∴ $(ar^(4))/(ar)=(1536)/(24)$

- Divide up and down by ar

∴ r³ = 64

- Take ∛ for both sides

∴ r = 4

Arithmetic sequence

∵ The fourth term is 16

∴ $u_(4)$ = 16

∵ $u_(4)$ = a + (4 - 1)d

∴ $u_(4)$ = a + 3 d

- Equate it by its value

∴ a + 3d = 16 ⇒ (1)

∵ The seventh term is 31

∴ $u_(7)$ = 31

∵ $u_(7)$ = a + (7 - 1)d

∴ $u_(7)$ = a + 6 d

- Equate it by its value

∴ a + 6 d = 31 ⇒ (2)

Subtract equation (1) from equation (2) to eliminate a and find d

∵ (a - a) + (6 d - 3 d) = (31 - 16)

∴ 3 d = 15

- Divide both sides by 3

∴ d = 5

∵ r = 4 and d = 5

∴ d > r

∴ The common difference d is larger than the common ratio r

Which function is odd? Check all that apply.A. y = sec x
B. y = sin x
C. y = cot x
D. y = csc x

Answers

To know if the function is odd or even, we have to substitute x with -x. If the function remains positive, that would mean the function is even. If the function is negative then the function is odd.

A. y = sec(x) is also equal to 1/cos(x). Substitute x with -x
1/cos(-x) =1/cos(x) = sec(x) = y (EVEN)

B. y = sin(x) Substitute x with -x
sin(-x) = -sin(x) = -y (ODD)

C. y= cot(x) is also equivalent to cos(x)/sin(x) Substitute x with -x
cos(-x) / sin(-x) = cos(x)/ (-sin (x)) = - cot(x) = -y (ODD)

D. y = csc(x) is also equivalent to 1 / sin(x) Substitute x with -x
1/ sin(-x) = 1/ (-sin (x))=-csc(x) =-y (ODD) ----------> odd

Answer: y= cos x

y=sec x

Step-by-step explanation:

What is the next fraction in this geometric sequence?

1/6,1/9,2/27,4/81,...

Answers

8/243

20 charrrrrrrrrrrrrrr

How do you turn 0.79 into a fraction?

Answers

0.79 = 79/100 . . .

Solve for x algebraically: 7-3(4x-8)<6x+12-9x

Answers

7-3(4x-8)<6x+12-9x
7-12x+24<6x+12-9x
-12x-6x+9x<12-7-24
-9x<-19
-x<-19/9
x>19/9

Answer: x>19/9 or (19/9 , +∞)

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