There are □terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561

Answer:

5

Step-by-step explanation:

2(x+6)=22

(x+6)=11

x=5

Answer:

V = 3.

Step-by-step explanation:

(I'll try.)

v/9 = 4/12

you cancel the common factor which is four.

next, you multiple both sides by nine, which make:

9v

_ = 1 , 9

_____

9 3

,,

and I guess you simplify it, and then it becomes V = 3.

I suck at explaining, so you'll just have to trust me by word.

Answer:

x = 2

Step-by-step explanation:

x+4=3x

-x     -x

----------

4 = 2x

/2    /2

---------

2 = x

Answer:

1

Step-by-step explanation:

steps are in picture.Ignore hand writing

Answer:

1) The polar form of that equation will be r= √5cos(2θ)

2) i am stuck on this one (sorry)

Step-by-step explanation:

(i) We know that [tex]x = r\cos{\theta}\:\text{and}\:y = r\sin{\theta}.[/tex] So we can write the given equation as

[tex]r^2\cos^2\theta - r^2\sin^2\theta = 5[/tex]

[tex]\Rightarrow r^2(\cos^2\theta - \sin^2\theta) = 5[/tex]

[tex]r^2 = \dfrac{5}{(\cos^2\theta - \sin^2\theta)}[/tex]

[tex]\:\:\:\:\:=\dfrac{5}{\cos{2\theta}} = 5\sec{2\theta}[/tex]

(ii) Recall that

[tex]\cot{\theta} = \dfrac{\cos{\theta}}{\sin{\theta}}[/tex]

[tex]\csc{\theta} = \dfrac{1}{\sin{\theta}}[/tex]

so we can write r as

[tex]r = 8\cot{\theta}\csc{\theta}[/tex]

[tex]\:\:\:\:= 8\left(\dfrac{\cos{\theta}}{\sin{\theta}}\right)\left(\dfrac{1}{\sin{\theta}}\right)[/tex]

[tex]\:\:\:\:= 8\left(\dfrac{x}{y}\right)\!\left(\dfrac{r}{y}\right) = \dfrac{8xr}{y^2}[/tex]

Upon simplification, we get

[tex]y^2 = 8x[/tex]

Answer:

D

Step-by-step explanation:

Goky kwiwiwjwjjwiwjwiw

Answer: Approximately 18.33%

Work Shown:

11/60 = 0.1833 approximately

This decimal converts to 18.33% when moving the decimal point over to the right two spots. Round this value however you need to.

Answer:

[tex]\frac{3}{t^{4}}[/tex]

Step-by-step explanation:

x^-y=1/(x^y) so 3t^-4=3/(t^4)

Step-by-step explanation:

1. 27

2. 15

3. 22

Answer:

862.50

Step-by-step explanation:

First find the amount of increase

750 * 15%

750 *.15

112.50

Add this to the original amount

750+112.50

862.50

Answer:

3, 4, 5

Step-by-step explanation:

so, we need to find all integers for which

23 <= 7x + 2 <= 37

=>

21 <= 7x <= 35

3 <= x <= 5

so, that is correct for x = 3, x = 4 and x = 5.

9514 1404 393

Answer:

  A. irrational only

Step-by-step explanation:

A decimal fraction is not a natural number or integer, so choices C and D can be eliminated immediately.

The decimal has a predictable pattern, but that pattern guarantees it does not repeat. A non-repeating, not-terminating decimal is an irrational number.

Multiply weeks by minutes per week:

52 x 205 = 10,660 total minutes per year

Work Shown:

205 minutes: 1 week

52*(205 minutes) : 52*(1 week)

10660 minutes : 52 weeks

10660 minutes : 1 year

Answer:

9

Step-by-step explanation:

Answer: 12

Step-by-step explanation:

Given worded expression

6 divided by 2 times in brackets 1 plus 2

Convert wordings to numerical expression

6 ÷ 2 × (1 + 2)

Simplify value in parentheses/brackets

=6 ÷ 2 × 3

Simplify by division

=3 × 4

Simplify by multiplication

=[tex]\boxed{12}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

9514 1404 393

Answer:

  (c)  16

Step-by-step explanation:

The figure will be a parallelogram when opposite angles are congruent. We already know X and Z are congruent, so we need to find x so that W = Y.

  x +3 = 2x -13

  16 = x . . . . . . . . . . add 13-x to both sides

========================================================

Explanation:

Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get

The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.

So we can't use n = 0.

Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.

If n = 9, then,

We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.

The smallest value of n = 9 is that all of the numbers in the set are natural numbers in {30 + n, n/3, √(n+16)}.

Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.

Assume n is not negative for the whole number. Using n = 0, the smallest nonnegative value, we obtain

30 + n = 30 + 0 = 30

n/3 = 0/3 = 0

√(n+16) = √(0+16) = 4

In the middle result, 0, there is no natural number. The set of positive whole numbers starting with {1, 2, 3, 4, ..} is known as the natural numbers.

Therefore, n = 0 is not a possibility.

We have to determine by trial and error that n = 9 is the next possible value we may test such that √(n+16) is a natural number and so is n/3.

If n = 9, then,

30 + n = 30 + 9 = 39

n/3 = 9/3 = 3

√(n+16) = √(9+16) = 5

The middle result, which is now greater than 0, is a natural number, as can be shown. The final outcome also corresponds to this description.

Thus, the smallest value of n = 9 is that all of the numbers in the set are natural numbers.

Learn more about Natural Numbers here :

https://brainly.com/question/17429689

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answer

C = 263.76 m

Step-by-step explanation:

C = 2×pi×r

C = 2×3.14×21

C = 131.88 m

For 2 rounds,

C = 131.88 x 2

C = 263.76 m

Answer:

588 loaves

Step-by-step explanation:

First determine how many hours in the 7 days that he works

7 days * 8 hours = 56 hours

Using a ratio

42 loaves          x loaves

-------------- = ----------------

4 hours            56 hours

Using cross products

42* 56 = 4x

Divide by 4

42 *56/4 = x

588 loaves

Answer:

16

Step-by-step explanation:

The digit '6' is in the ones place.

It is a 2 digit number so the number is between 10 and 24.

=> 16

Answer:

you can use a protector for finding the angles and a ruler finding the length of the lines

Answer:

CDO=26cm

AOD=32cm

Step-by-step explanation:

Step-by-step explanation:

m^2+ n^2 = (-5)² + 3² = 25+9 = 34

Answer:

34

Step-by-step explanation:

Edmentum/Plato

9514 1404 393

Answer:

  A.  2×10³

Step-by-step explanation:

The ratio of diameters is ...

  (189,869 mm)/(98 mm) ≈ 1927.3 ≈ 2000 = 2×10³

The diameter of the peach became about 2×10³ times as large.

Answer:

Option C.

Step-by-step explanation:

Notice that only option B and C involves the vectors in transformation

[tex]A=\begin{bmatrix}4\\2\end{bmatrix}, B=\begin{bmatrix}-8\\-4\end{bmatrix}[/tex]

However, option B is not a defined multification since the dimension of both matrices are not matching. Vector A is 2x1 but the second matrix is 2x2.

Answer:

C. Add 8 to both sides

Step-by-step explanation:

This is done in order to equate the equation to zero so that it relates to the general equation.

[tex] {ax}^{2} + bx + c = 0[/tex]

c is (13 + 8)

a (i) The number of standard size is 288 eggs

a (ii) The number of medium size is 1,476 eggs

a (iii) The number of large size is 36 eggs

b (i) The expected profit made from selling the standard size is Gh¢43.2

b (ii) The expected profit made from selling the medium size is Gh¢516.6

b (iii) The expected profit made from selling the large size is Gh¢16.2

The given parameters:

the mean of the distribution, m = 0.06 kg

standard deviation (std) of the distribution, d = 0.009 kg

number of the samples, n = 1800 eggs

(i) Find the position of "less than 0.052 kg (standard size)":

(the standard size is 1 standard deviation below the mean)

(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":

(the medium size is between 1 std below the mean and 2 std above the mean)

(iii) Find the position of "Greater than 0.075 kg (large size)":

Check: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs

(b) the cost of production of an egg = Gh¢0.45

the selling price of the standard size = Gh¢0.60

the selling price of the medium size = Gh¢0.80

the selling price of the large size = Gh¢0.95

(i) The expected profit made from selling the standard size:

Profit = total revenue - cost of production

Profit = 288(0.6) - 288(0.45) = Gh¢43.2

(ii) The expected profit made from selling the medium size:

Profit = total revenue - cost of production

Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6

(iii) The expected profit made from selling the large size:

Profit = total revenue - cost of production

Profit = 36(0.9) - 36(0.45) = Gh¢16.2

Learn more here: https://brainly.com/question/22520030

you forgot the main part!

the correct answer is 25

.

your sign will be + not - because when you multiply two negative signs It will be positive