Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Answer:

Find the exact value using trigonometric identities.

Exact Form: x=34

Decimal Form: x=0.75

Step-by-step explanation:

The value of x is 3.

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

Given:

[tex]9^{-1/2} = 27^{1/4}[/tex]÷[tex]3^{x +1}[/tex]

[tex][3^{2}]^{{-1/2}} = [(3)^{4}]^{1/4}[/tex] ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex] = 3 ÷[tex]3^{x +1}[/tex]

[tex]3^{-1}[/tex]= [tex]\frac{3}{3^{x+1}}[/tex]

[tex]3^{-1}= 3^{1-x+1}[/tex]

[tex]3^{-1}= 3^{2-x}[/tex]

On comparing we get,

-1=2-x

x= 3

Hence, the value of x is 3.

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Answer:

D. 797,481

Step-by-step explanation:

So, with the number 653,841, the number that is in the hundreds place is 8, meaning that the number is 800. So now, since you have to find 1/10 of the value, you have to divid it by 10, giving you 80. Now, looking at the answers, you have to find the number with 8 in the tens place, which is D.

Answer:

21v = 0

v = 0

Step-by-step explanation:

Answer:

Line CA

Step-by-step explanation:

A transversal is a line that intersects two parallel lines at an angle

BA would not be a transversal to the given lines because it is instead a perpendicular line

Answer:

Equation Representation

Answer: 1 2and 4

Step-by-step explanation:

Answer: have a good day

Step-by-step explanation:

because you deserve it

Answer:

add 6x to both sides (3x+3=-18)

subtract 3 from both sides (3x=-21)

divide by 3 on both sides (x=-7)

x=-7 is final answer

Answer:

the answer is 13 .

Step-by-step explanation:

it is a right angle which is 90 degrees, they already gave you 53 and 24 so you add those and get 77. then you subtract 77 from 90. that gives you 13!

Answer:

Start with: sin 53° = 24/w

Multiply both sides by w: w × (sin 53°) = 24

Divide both sides by "sin 53°": w = 24 / (sin 53°)

Calculate: w = 24 / 0.79863551

 w = 30.1

Step-by-step explanation:

i think this is it not entirely sure hope it helps

The worth of the car in 2 years is £1767.2

The given parameters are:

Value, a = £20000

Depreciation rate, r = 6%

The value of the car in t years is represented as:

f(t) = a *(1 - r)^t

This gives

f(t) = 2000 * (1 - 6%)^t

In 2 years, t = 2

So, we have:

f(2) = 2000 * (1 - 6%)^2

Evaluate

f(2) = 1767.2

Hence, the worth of the car in 2 years is £1767.2

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Take the root of both sides and solve.

x = 8√−10, −8√−10

Answer:

30+30+30

Step-by-step explanation:

Answer:6-(3=5)

Step-by-step explanation:beacause you add +2

Answer:

Gym A

Step-by-step explanation:

A linear relationship is a relationship of the form y = mx + b, where y and x are the linear variables, m is the rate of change and b is the value of y when x = 0.

Gym A:

Let x represent the month and y represent the total cost for the gym. From the table, we can represent the values in the form (x, y) as (1,70), (2, 90) and (3, 110). We can find the relationship between x and y using the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\ (1,70)\ and\ (3,110),hence:\\\\y-70=\frac{110-70}{3-1}(x-1)\\\\y-70=20(x-1)\\\\y=20x-20+70 \\\\y=20x+50\\\\For\ 10\ months(i.e.\ x=10):\\\\y=20x+50\\\\y=20(10)+50\\\\y=\$250[/tex]

Gym B:

We can represent the values from the table as (1,55), (2, 80) and (3, 105). We can find the relationship between x and y using the formula:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Let \ us\ use\ the\ points\ (1,55)\ and\ (3,105),hence:\\\\y-55=\frac{105-55}{3-1}(x-1)\\\\y-55=25(x-1)\\\\y=25x-25+55 \\\\y=25x+30\\\\For\ 10\ months(i.e.\ x=10):\\\\y=25x+30\\\\y=25(10)+30\\\\y=\$28 0[/tex]

Hence gym A would cost less ($250 < $280)

Answer:

The graph below shows that y = x+4 has one solution the rest are all parallel.

Step-by-step explanation:

Answer:

y = x + 4

Intersects at (0,4).

Step-by-step explanation:

y = 2x -4: No solution(parallel)

y = 2(x+2): Infinite many solutions(same line)

y = 2(x-4): No solution(Also parallel)

y = x + 4: One Solution(Intersects at (0,4)).

Answer:

$0.40 per minute

Step-by-step explanation:

You divide 6.40 by 16 to get 0.40.

To fact check this, I multiplied 0.40 by 16 and got 6.40.

Answer:

what are the choices

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

9²+10² = 38

Answer:

2y = x + 7

3x + 7y = 240

Step-by-step explanation:

Answer:

You pay $8 [tex]\frac{1}{4}[/tex] for 2 [tex]\frac{3}{4}[/tex] meters of ribbon

Step-by-step explanation:

Let us solve the question

∵ 1 meter of ribbon costs $3

∵ We need to find the cost of 2 [tex]\frac{3}{4}[/tex] meters

→ Separate the length of the ribbon to a whole number and a fraction

∵ The length of the ribbon = 2 m + [tex]\frac{3}{4}[/tex] m

→ Multiply each part by the cost of 1 meter

∵ The cost of 1 meter = 3 dollars

∴ The cost of the ribbon = 3 × 2 + 3 × [tex]\frac{3}{4}[/tex]

∴ The cost of the ribbon = 6 + [tex]\frac{9}{4}[/tex] dollars

→ Change the improper fraction [tex]\frac{9}{4}[/tex] to a mixed number

∵ 9 ÷ 4 = 2 [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 6 + 2 + [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 8 + [tex]\frac{1}{4}[/tex]

∴ The cost of the ribbon = 8 [tex]\frac{1}{4}[/tex] dollars

∴ You pay $8 [tex]\frac{1}{4}[/tex] for 2 [tex]\frac{3}{4}[/tex] meters of ribbon

Step-by-step explanation:

6.04 × 10^8

is a right answer it will be helpful

Answer:

12 cups of milk

Step-by-step explanation:

36/12= 3

4 x 3= 12

So the Answer is 12 cups of milk

Answer:

The complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Step-by-step explanation:

Given the sequence expression

aₙ = 15 + 3(n-1)

Substituting n = 1 for the first term

aₙ = 15 + 3(n-1)

a₁ = 15 + 3(1-1)

a₁ = 15 + 3(0)

a₁ = 15 + 0

a₁ = 15

Substituting n = 5 for the 5th term

aₙ = 15 + 3(n-1)

a₅ = 15 + 3(5-1)

a₅ = 15 + 3(4)

a₅ = 15 + 12

a₅ = 27

Substituting n = 10 for the 10th term

aₙ = 15 + 3(n-1)

a₁₀ = 15 + 3(10-1)

a₁₀ = 15 + 3(9)

a₁₀ = 15 + 27

a₁₀ = 42

Substituting n = 20 for the 20th term

aₙ = 15 + 3(n-1)

a₂₀ = 15 + 3(20-1)

a₂₀ = 15 + 3(19)

a₂₀ = 15 + 57

a₂₀ = 72

Therefore, the complete table will be:

Term #                Value of aₙ

1                            15

5                           27

10                          42

20                         72

Answer:

try -3

Step-by-step explanation:

Answer:

use desmos

Step-by-step explanation:

it will help you a lot on this question

Answer:

600

Step-by-step explanation:

You would do 1200 x 1/2 = 600

Hope this helps :D

Answer:

3/5

Step-by-step explanation:

Answer:

Sin(A) =3/5 is answer

Step-by-step explanation:

I hope it's helpful!