While sorting some buttons, David put 4 buttons in the first box, 12 buttons in the second box, 36 buttons in the third box, 108 buttons in the fourth box, and 324 buttons in the fifth box. If this pattern continues, how many buttons will David put in the sixth box

Answer:

D. the yearly growth rate of the population is 6%

Step-by-step explanation:

Given the exponential growth function : P(1.06)^t

Recall the general form of the function :

P(t) = P0(1 + r)^t

Where, P0 = Initial population ; r = rate ; t = time

Comparinv the equation and the function Given :

We can Evaluate :

1 + r = 1.06

r = 1.06 - 1

r = 0.06

To percentage :

0.06 * 100%

= 6%

Answer: 103,000

Step-by-step explanation:

Answer:

the feather colors and beak shapes of every bird observed in a park.

Step-by-step explanation:

you said it in your question

Answer:

Qualitative

Its right i swear

Answer:

g = 4

Step-by-step explanation:

-7g - 2 = -30

Add 2 to both sides to get:

-7g -2+2 = -30+2

which is equal to:

-7g = -28

now divide both sides by -7 to get the value of g which is:

g = -28 / - 7

--> g = 4

Answer:

g = 4

Step-by-step explanation:

First you can add 2 to both sides to isolate the x term:

-7g -2 = -30

      +2   +2

-7g = -28

Now, you can divide by -7 both sides to find g,

-7g = -28

÷ -7     ÷ -7

g = 4

Answer:

55

Step-by-step explanation:

x - 9 = 1/2(x + 37) according to inscribed angles theorem

2x - 18 = x + 37

x = 55

Answer:

See explanation

Step-by-step explanation:

Given

[tex]3x = 6[/tex]

Solving (a): What the expression means

3 when multiplied by x, gives 6

Solving (b): Why 2 is the solution

We have:

[tex]3x = 6[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{6}{3}[/tex]

[tex]x = \frac{6}{3}[/tex]

[tex]x = 2[/tex]

Step-by-step explanation:

1. C:arithmetic, 34, 39, 44

2. B: geometric, -64, 128, -256

3. C: geometric, 1, 1/3, 1/9

Answer:

I think its A? Not sure though

Step-by-step explanation:

Answer:

A. 520 square inches is your surface area of the rectangular prism

Answer:

[tex]S_{32}[/tex] = - 1216

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = a₂ - a₁ = 20 - 24 = - 4 , then

[tex]S_{32}[/tex] = [tex]\frac{32}{2}[/tex] [ (2 × 24) + (31 × - 4) ]

     = 16(48 - 124)

     = 16 × - 76

     = - 1216

Answer:

[tex]x^2 -5x +3 = 0\\\\ x= \frac{-b \pm \sqrt{b^2-4*a*c} }{2a} \\\\b = -5, a = 1 , c = 3\\\\x= \frac{-b + \sqrt{b^2-4*a*c} }{2a} , x= \frac{-b -\sqrt{b^2-4*a*c} }{2a}\\\\x= \frac{5 + \sqrt{25-12} }{2}, x= \frac{5-\sqrt{25-12} }{2}\\\\x= \frac{5+\sqrt{13} }{2}, x= \frac{5- \sqrt{13} }{2}[/tex]

Answer:

Lateral Area: 120                                                                                    

Surface Area: 163.3

Answer:

2(-2,4) + 2(-1,8)=-8.4

Step-by-step explanation:

2x-2

2x4

2x-1

2x8

-8.4

Answer- 0.48

Hope this Helped :T

Answer:

I would say b, but wait for another person to answer and confirm

Step-by-step explanation:

Answer:

your math questions send me

Answer:

Y=26.9x-1.3is the answer

Step-by-step explanation:

The best model represents y = 26.9x – 1.3

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

As, the data given about productivity is well defined by y = 26.9x – 1.3

As, we have 4 functions so by putting the values we get

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

10           269.91           217.64         267.7         266

12           382.85          315.5           321.5          320.

So, the most accurate is (C)y = 26.9x – 1.3.

Learn more about this concept here:

https://brainly.com/question/4505098

#SPJ2

Answer:

[tex] {x}^{3} + {x}^{2} −24x+36[/tex]

Step-by-step explanation:

[tex](x + 6)(x - 2)(x - 3)[/tex]

[tex][x(x−2)+6(x−2)](x−3)[/tex]

[tex]( {x}^{2} −2x+6x−12)(x−3)[/tex]

[tex]( {x}^{2} +4x−12)(x−3)[/tex]

[tex] {x}^{3} + {x}^{2} −24x+36[/tex]

Answer:

9 4/9 (this is a mixed fraction btw)

Step-by-step explanation:

Question: 3 4/9 + 5 7/9

Add whole numbers:

3+5 = 8

Combine fractions: 4/9 + 7/9 = 13/9

*fix your improper fraction into a proper one*

so, 13/9 turned into mixed fraction is 1 4/9 (to be clear it's not 14, 1 is the whole number and then the fraction 4/9.) *write it like a mixed fraction please*

anyway, we're not done yet..

8+1 4/9

= 9 4/9

Answer:

=> 2x²-7x+5

=> 2x²-2x-5x+5

=>2x(x-1)-5(x-1)

______________

Hope it helps

-------☆ﾟ.･｡ﾟƒöᏝϗʆѻʁᶥąռ¹₃

Answer:

Step-by-step explanation:

Answer:

2384

Step-by-step explanation:

40x50=2000

40x24/2=384

2000+384=2384

Answer:

2384

Step-by-step explanation:

1. Approach

To solve for the area of the given figure, divide the figure up into two parts. This will ensure that one can find the area of each individual part, and then add the two resulting areas up to find the total area of the figure. One can split this figure into a rectangle, and a triangle.

2.Find the area of the rectangle

The rectangle will have the following dimensions,

(40) x (50)

To find the area of a rectangle, one will use the following formula,

(length) * (width) = (area)

Therefore, the area is the following,

(40) * (50) = 2000

3.Area of the triangle

3a. Approach

To find the area of a triangle, one will use Heron's formula. Herons' formula states the following,

[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

Where (s) is the semi-perimeter or half of the perimeter, and (a), (b), and (c) are the sides of the triangle. This requires that one knows all of the sides of the triangle.

3b. Find the unknown side and semi-perimeter

It is given that the triangle is right indicated by a box around one of the angles), thus one can use the Pythagorean theorem to find the length of the unknown side. The Pythagorean theorem states the following,

[tex]a^2+b^2=c^2[/tex]

Where (a) and (b) represent the legs, the sides adjacent (next to) the right angle. Moreover, (c) represents the hypotenuse or the side opposite the right angle. Substitute in the given values and solve for (b),

[tex](40)^2=(24)^2+(b)^2\\[/tex]

Simplify,

[tex]1600=576+b^2[/tex]

Inverse operations,

[tex]1024=b^2\\\sqrt{1024}=b\\32=b[/tex]

Add up all of the sides of the triangle and divide by (2) to fin the semi-perimeter,

[tex]\frac{a+b+c}{2}\\\\=\frac{20+24+32}{2}\\\\=48[/tex]

3c. Find the area of the triangle

Substitute into Heron's formula,

[tex]\sqrt{s(s-a)(s-b)(s-c)}\\\\=\sqrt{48(48-32)(48-40)(48-24)}\\\\=\sqrt{48(16)(8)(24)}\\\\=\sqrt{147456}\\\\=384[/tex]

Add the area of the rectangle and triangle together to find the answer,

384 + 2000

= 2384

Answer:

15th day

1 / 2 ; 1 / 2

Step-by-step explanation:

Given :

Ivan = Every 3rd

Gavin = Every 5th

To Obtain the first day they'll be at the gym a together;

Lowest common multiple of the days :

Multiples of 3 = 3, 6, 9, 12, 15, 18, 21, 24

Multiples of 5 = 5, 10, 15, 20, 25, 30

Lowest common multiple = 15

2.)

Time in hours = 1

Number of shows = 2

Ratio of hours to shows = 1 / 2

Ratio for 3 hours of watching television :

3 * (1 /2) = 3 / 6 = 1 / 2

Answer:

[tex]x = \frac{22}{3}[/tex]

Step-by-step explanation:

Since both CB and ED intersect AD perpendicularly, we can say they are parallel and that ΔACB is similar to ΔAED from Thales intercept theorem. Now, we can set up a proportion from the definition of similar triangles:

[tex]\frac{AB}{AD} = \frac{BC}{DE}[/tex]

We can say that AD = AB + BD(segment addition postulate) and substitute to get AD = 11. Now we can plug in the numbers we have to the proportion:

[tex]\frac{6}{11} =\frac{4}{x}[/tex]

We can cross-multiply to get:

[tex]6x = 44[/tex]

and divide by 6 to get

[tex]x = \frac{22}{3}[/tex]

Answer:

B     5√34 / 34

Step-by-step explanation:

tan ∅ = opp/adj

In quad II

tan ∅ = 5 / (-3)

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

hyp^2 = 5^2 + (-3)^2

hyp^2 =25 + 9 = 34

hyp = √34

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

sin ∅ = opp/hyp

sin ∅ = 5/√34

Rationalizing

sin  ∅ = 5√34 / 34

Consider this equation [tex]tan(\theta)=-5/3[/tex]. if theta is an angle in quadrant II the of  [tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex].

Trigonometric ratios for a right-angled triangle are from the perspective of a particular non-right angle.

In a right-angled triangle, two such angles are there which are not right-angled(not of 90 degrees).

The slanted side is called the hypotenuse.

From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called the base.

Consider this equation

[tex]tan(\theta)=-5/3[/tex]

B     5√34 / 34

if theta is an angle in quadrant II what is the of sin(theta)

[tex]tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}[/tex]

In quadrant II

tan ∅ = 5 / (-3)

[tex]hyp^2 = 5^2 + (-3)^2\\hyp^2 =25 + 9 = 34\\hyp = \sqrt{34}[/tex]

[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}[/tex]

[tex]sin \theta = \dfrac{5}{\sqrt{34} }[/tex]

Rationalizing

[tex]sin \theta = \dfrac{5\sqrt{34}}{{34} }[/tex]

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

#SPJ2

Answer:

The experimental probability of flipping tails is 40%. Mentor: The experimental probabilities were 40% tails and 60% heads. This does not precisely match with the theoretical probability of 50% tails and 50% heads.

Step-by-step explanation:

Answer:

370mm

Step-by-step explanation:

15mm×30mm=450mm

8mm×10mm

450mm-80mm =370mm

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex](2x - 3) - (x - 1) \\ = 2x - 3 - x + 1 \\ = 2x - x - 3 + 1 \\ = x - 2[/tex]

⇻Option B. x - 2 is the correct answer.

Answer:

the answer is 1260 or B on edge

Step-by-step explanation:

toes are on fire on a Tuesday thank you for coming to my TED talk

Answer:

it is B

Step-by-step explanation: