which explicit formula can be used to find the number of rabbits in the nth generation ?

Answer:

(6, 1)

Step-by-step explanation:

x + 2y = 8

1. subtract 2y to get x alone -- x = -2y + 8

2. insert (-2y + 8) as x

2x - 2 = 10

2(-2y + 8) -2 = 10

3. distribute the 2

-4y + 16 - 2 = 10

4. combine like terms

-4y + 14 = 10

5. subtract 14 from both sides

-4y = -4

6. divide by -4

y = 1

7. plug y into any of the two original equations

x + 2(1) = 8

8. simplify

x + 2 = 8

x = 6

9. check answer with second equation

2(6) - 2 = 10

12 - 2 = 10

Answer:

Step-by-step explanation:

Hello,

For the step 1:

We multiply the first equation by 3 and the second equation by 2, so we are using the Multiplication Property of Equality.

For the step 2:

To eliminate the x we subtract the first equation to the second one, so we are using the Subtraction Property of Equality.

For the step 3:

We divide by -16 both parts of the equation, so we are using the Division Property of Equality.

For the step 4:

We replace y in the initial first equation, we we are using the Substitution Property of Equality.

For the step 5:

We just Simplify.

For the step 6:

We add 4 to both parts of the equation, so we are using the Addition Property of Equality.

For the step 7:

We divide by 2, so we are using the Division Property of Equality.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

C

Step-by-step explanation:

The dependent variable is always graphed on the y-axis and the independent variable is always graphed on the x-axis. Therefore, the dependent and independent variables are total price ($) and number of boxes respectively which makes the answer C.

Answer:

C. The total price depends on the number of boxes.

Step-by-step explanation:

In a graph, the x-variable is the independent variable; it is what you can change.

The y-variable is the dependent variable; its value depends on the value of the x-variable.

In this case, the y-variable is the total price of cupcakes, which depends on the x-variable, the number of boxes. C is your answer.

Hope this helps!

Answer:

Option B. x = 13

Step-by-step explanation:

In this question, we shall give a separate diagram which will help us to further understand the question.

Please see attached photo for further details.

To find the value of x we shall use the pythagoras theory as illustrated below:

x is the longest side Therefore,

x² = 12² + 5²

x² = 144 + 25

x² = 169

Take the square root of both side

x = √169

x = 13

Therefore, the value of x 13.

Answer: 10x454x0.55=2,497 grams of fruit

Answer:

[tex]y=\frac{1}{3} x+7[/tex]

Step-by-step explanation:

We need to find the equation of a line perpendicular to [tex]y=-3x-3[/tex], which passes through the point (-3, 6).

Recall that a line perpendicular to a line of the form: [tex]y=mx+b[/tex], must have a slope which is the opposite of the reciprocal of the slope of the original line. that is, a slope of the form;

[tex]slope=-\frac{1}{m}[/tex]

Then, in our case, since the original line has slope "-3", a perpendicular line to it should have a slope given by:

[tex]slope=-\frac{1}{-3} =\frac{1}{3}[/tex]

We now know the slope, and also a point for this new line, so we use the point-slope form of a line:

[tex]y-y_0=m_\perp\,(x-x_0)\\y-6=\frac{1}{3} (x-(-3))\\y-6=\frac{1}{3} x+\frac{3}{3} \\y-6=\frac{1}{3} x+1\\y=\frac{1}{3} x+7[/tex]

Answer: 3 toys

Step-by-step explanation:

equation will be 60 - 5 x t = 45

solving it we get

5 x t = 60 - 45 = 15

=> t = 15/5 = 3

Answer:

1/5

Step-by-step explanation:

2/9 * 9/10 = 2/10 = 1/5

Answer:

sorry don't know what is ans

Answer:

Hi Mate!

plz don't scan the questions, it will be incorrect

Answer:

3) 23 cm

4)10.1

5)50

Answer:

6400

Step-by-step explanation:

Taxable amount=45000-13000=32000

tax=32000*20/100

=6400

Answer:

[tex]\boxed{u = 13.7}[/tex]

Step-by-step explanation:

Using cosine rule

[tex]c^2 = a^2+b^2-2ab\ CosC[/tex]

Here c = u, a = 9 , b = 21 and C = 28

[tex]u^2 = 9^2+21^2-2(9)(21)\ Cos 28\\u^2 = 81+441-(378)(0.88)\\u^2 = 522 - 333.75\\u^2 = 188.24[/tex]

Taking sqrt on both sides

u = 13.7

Answer:

u ≈ 13.7

Step-by-step explanation:

Using the Cosine rule in Δ STU, that is

u² = s² + t² - 2stcosU

Here s = 21, t = 9 and U = 28°, thus

u² = 21² + 9² - (2 × 21 × 9 × cos28°)

   = 441 + 81 - 378 cos28°

   = 522 - 378 cos28° ( take the square root of both sides )

u = [tex]\sqrt{522-378cos28}[/tex]

   ≈ 13.7 ( to the nearest tenth )

Step-by-step explanation:Step-by-step explanation:

For Sienna to be able to take the square root of both sides while solving a quadratic equation, she must have an expression with square on at least, the side that contains the variable she is trying to determine. Equation of the form:

(x + a) ² = b

'a' and 'b' could be any number, -1, 0, 1/3, -5/6, anything really.

So, she can take square roots of both sides then, like this

√(x + a)² = √b

x + a = ±√b

x = -a ± √b

Square roots always cancel out squares, and the '±' is because a square is satisfies by both + and -, 3² = 9, and (-3)² = 9.

It is the nature of the problem being solved that determines if we take just one or both of these answers.

Answer:

The answer is B.

Step-by-step explanation:

Since x < 1 the circle at the point is open and the arrow points infinitely in the negative direction (which happens to be answer A here)

x is also greater than or equal to -1 so a closed circle at the point -1 will complete this graph.

Answer:

46 minutes.

Step-by-step explanation:

2 km in 13 minutes would equal to 6 minutes and 30 seconds per km.

minutes: 6 x 7 = 42

seconds: 30 x 7 = 210

seconds pt 2: 210/60 = 3 minutes 30 seconds

adding altogether: 42 minutes + 3 minutes 30 seconds + 45 minutes 30 seconds, rounded would equal to 46 minutes

Answer:

The answer is 3.

Step-by-step explanation:

This is because f(-3) = -(-3) = 3.

it is isosceles triangle as you see

so that 62 = other unknown angle

as it is a triangle interior angles sum = 180

124 + x = 180

x = 180 - 124

x = 56

Answer:

Data set A best fit by the regression line.

Answer:

Data Set C.

Step-by-step explanation:

Well just even by common sense, the line for "data set A" is not good for the points on the graph

Answer:

The long of the flag is:

15 ft

Step-by-step explanation:

On a three rule:

5 ft is to 8 ft

24 ft is to  A ft

A = 24*5/8

A = 15 ft

related task:  https://brainly.com/question/17139181

Answer:

2400months

Step-by-step explanation:

6/100*40,000

maybe

Answer:

5√11 ÷ 11 (The very last choice)

Step-by-step explanation:

I first found out what 5/√11 was and got 1.507556723 and checked all the other options and found that 5√11 ÷ 11 was the only option that had the exact same quotient as 5/√11.

Answer:

what does ; resemble

Step-by-step

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         Hi my lil bunny!

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A) Let's solve for x. [tex]y^2-7=2xy[/tex]

Step 1: Flip the equation.

[tex]2xy = y^2 - 7[/tex]

Step 2: Divide both sides by 2y.

[tex]\frac{2xy}{2y} = \frac{y^2- 7}{2y}[/tex]

[tex]x = \frac{y^2- 7}{2y}[/tex]

Answer : [tex]x = \frac{y^2- 7}{2y}[/tex]

~~~~~~~~~~~~~

B) Let's solve for y. [tex]2x^2+3=xy[/tex]

Step 1: Flip the equation.

[tex]xy = 2x^2 + 3[/tex]

Step 2: Divide both sides by x.

[tex]xy = \frac{2x^2 + 3}{x}[/tex]

[tex]y = \frac{2x^2 + 3}{x}[/tex]

Answer : [tex]y = \frac{2x^2 + 3}{x}[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

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

Explanation:

Each cube has a side length of 4. Placed together like this, the total horizontal side combines to 4+8 = 8. This is the segment HP as shown in the diagram below. I've also added point Q to form triangle HPQ. This is a right triangle so we can find the hypotenuse QH

Use the pythagorean theorem to find QH

a^2 + b^2 = c^2

(HP)^2 + (PQ)^2 = (QH)^2

8^2 + 4^2 = (QH)^2

(QH)^2 = 64 + 16

(QH)^2 = 80

QH = sqrt(80)

Now we use segment QH to find the length of segment EH. Focus on triangle HQE, which is also a right triangle (right angle at point Q). Use the pythagorean theorem again

a^2 + b^2 = c^2

(QH)^2 + (QE)^2 = (EH)^2

(EH)^2 = (QH)^2 + (QE)^2

(EH)^2 = (sqrt(80))^2 + (4)^2

(EH)^2 = 80 + 16

(EH)^2 = 96

EH = sqrt(96)

EH = sqrt(16*6)

EH = sqrt(16)*sqrt(6)

EH = 4*sqrt(6), showing the answer is choice C

-------------------------

A shortcut is to use the space diagonal formula. As the name suggests, a space diagonal is one that goes through the solid space (rather than stay entirely on a single face; which you could possibly refer to as a planar diagonal or face diagonal).

The space diagonal formula is

d = sqrt(a^2+b^2+c^2)

which is effectively the 3D version of the pythagorean theorem, or a variant of such.

We have a = HP = 8, b = PQ = 4, and c = QE = 4 which leads to...

d = sqrt(a^2+b^2+c^2)

d = sqrt(8^2+4^2+4^2)

d = sqrt(96)

d = sqrt(16*6)

d = sqrt(16)*sqrt(6)

d = 4*sqrt(6), we get the same answer as before

The space diagonal formula being "pythagorean" in nature isn't a coincidence. Repeated uses of the pythagorean theorem is exactly why this is.

Answer:

Step-by-step explanation:

Given the system of equation, x + 4 y = 14. and 3 x + 2 y = 12, to solve for x, we can use the elimination method of solving simultaneous equation. We need to get y first.

x + 4 y = 14............ 1 * 3

3 x + 2 y = 12 ............ 2  * 1

Lets eliminate x first. Multiply equation 1 by 3 and subtract from equation 2.

3x + 12 y = 42.

3 x + 2 y = 12

Taking the diffrence;

12-2y =42 - 12

10y = 30

y = 3

From equation 1, x = 14-4y

x = 14-4(3)

x = 14-12

x = 2

It can be seen that the easiest way to get the value of x is by using the first equation and we are able to do the substitute easily because the variable x has no coefficient in equation 1 compare to equation 2 as such it will be easier to make the substitute for x in the first equation.

Answer:

A: The easiest to solve for is x in the first equation.

Step-by-step explanation:

Answer:

Option C. 3√3

Step-by-step explanation:

Please see attached photo for brief explanation.

In the attached photo, we obtained the following:

Opposite = a

Adjacent = 3

Hypothenus = 6

Angle θ = 60°

We can obtain the value of 'a' as follow:

Tan θ = Opposite /Adjacent

Tan 60° = a/3

Cross multiply

a = 3 x Tan 60°

But: Tan 60° = √3

a = 3 x Tan 60°

a = 3 x √3

a = 3√3

Therefore, the length of the altitude of the equilateral triangle is 3√3.

Sara works 46 hours per week

9 hours are overtime and 37 hours are regular time

pay rate at time and a half: 10.20∗1.5=15.30

regular hours plus overtime pay

37∗10.20=377.40

9∗15.30=137.70

Income due to tips

Total hours worked∗60per hour∗20%

46∗60∗.20=552

Weekly Income=Hourly income + tips

Weekly Income=377.40+137.70+552.00

Weekly Income=1067.10

Annual income=Weekly income∗52

Annual income=55489.20

Answer:

2nd option

Step-by-step explanation:

plugging the values of x as 0,1,2,3,4,5 will help to find the exact equation

x= 0 , 199

x=1, 199* 1.25 =248.75 (approximately)

x=2, 199* (1.25)^2 = 310.9 (approximately)

x=3, 199* (1.25)^3 = 388.67 (approximately)

x=4, 199* (1.25)^4 = 485.83 (approximately)

x=5, 199* (1.25)^5 = 607.29 (approximately)

Answer:  f(x) ≈ 199(1.25)^x

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello,

[tex]8a(3x-2y)^2-12x +8y\\\\ = 8a(3x-2y)^2-4(3x-2y)\\\\ = (3x-2y)(8a(3x-2y)-4)\\\\=(3x-2)(24ax-16ay-4)[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

first blank = 10 (for table 1)

second blank = 30 (for table 2)

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

Explanation:

You could use a calculator to determine the value of b, then compute b^x for that first box. But as the instructions state, we don't need to use one. Why is that? Because the tables provide enough information to fill in the blanks.

Table 1 shows x = 2.096 lead to some unknown y value. Meanwhile, table 2 has x = 10 lead to y = 2.096; note the 2.096 shows up again. The exponential and log functions are inverses of each other. They undo each other's operation. This is similar to how division undoes multiplication, and vice versa.

Going in reverse of table 2, we will conclude that 10 must go in the blank for table 1. Therefore, b^x = 10 when x = 2.096

------------

Similarly, we will have 30 in the blank for table 2. Table 1 shows x = 3.096 lead to y = 30. Table 2 is the reverse of that as it is the inverse.

Throughout either section, we didn't need to find the value of b.

The missing value in table 1 is 10 and for table 2 it is 30.

The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.

In another word, a logarithm is a different way to denote any number.

In the first table first column

x = 0.369 and bˣ = 1.5 ⇒

By logarithm

logbˣ = log1.5

xlogb = log1.5

Now x = 0.369

logb = 0.1760/0.369

b = 3

Now,

f(x) at x = 2.096 ⇒ [tex]3^{2.096}[/tex] = 10

And

x at g(x) = 3.096

[tex]log_{3}[/tex]x = 3.096 ⇒ x = 30.

Hence "The missing value in table 1 is 10 and for table 2 it is 30".

For more about logarithm,

https://brainly.com/question/20785664

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