please solve this: expand (4+2x)1/2​

Answer:

[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]

Step-by-step explanation:

Given: The smaller branches spiral in the pattern [tex]\{2,3,5,8,...\}[/tex] from a larger limb.

To model: the tree growth with the Fibonacci sequence

Solution:

Take [tex]a_1=2[/tex]

Let [tex]a_n[/tex] denotes the [tex]n^{th}[/tex] term.

[tex]a_2=3=2+1=2+(2-1)=a_1+(2-1)\\a_3=5=3+2=3+(3-1)=a_2+(3-1)\\a_4=8=5+3=5+(4-1)=a_3+(4-1)[/tex]

So,

[tex]a_1=2\\a_n=a_{n-1}+(n-1)\,,n>1[/tex]

Answer:

Yes.

Step-by-step explanation:

The pattern in which the branches are growing off the limb is {1, 1, 2, 3, 5, 8, …}, meaning you can use the model with tree growth.

Answer:

12

Step-by-step explanation:

Answer:

63 = 5.5 * x + 30

x = 6

Step-by-step explanation:

Answer:

63 = 5.5 * x + 30

x = 6

Step-by-step explanation:

just answered the question

Answer:

218 cm²

Step-by-step explanation:

Can of soup has a radius of 3.4 centimeters. Can is 10.2 centimeters tall, what is the approximate area of the label that wraps around the can?

The formula to solve the above question is given as:

The curved or the lateral surface area of the cylinder = 2πrh

Where:

r = 3.4 cm

h = 10.2 cm

The curved or the lateral surface area of the cylinder = 2 × π × 3.4 cm × 10.2 cm

= 217.9 cm²

Therefore, the approximate area of the label that wraps around the can is

218 cm².

Answer:

I think the answer is 183.28

Step-by-step explanation: I divided 68.75 by 3 and got 22.91

so I multiplied 22.91 and 9.

Median is a measure of center. To find the median, you find the middle, or center, of the data set. Mean would be an example of a measure of variation.

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hope it helps

Answer:

14.99

Step-by-step explanation:

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

Answer:

Lauren's triangle is an isosceles triangle

Step-by-step explanation:

Given the sides of a triangle as 7mm, 9mm and 7mm.

From the given sees you will see that two of the sides are the same showing that the triangle is an isosceles triangle.

An isosceles triangle is a triangle that as two of its sides equal and since two of the sides are both 7mm, hence Lauren's triangle is an ISOSCELES TRIANGLE

Answer:

¼ remaining

Step-by-step explanation:

Convert to common numerator of 12:

1/6 = 2/12

1/4 = 3/12

1/3 = 4/12

Total: 9/12

1 - 9/12 = 3/12 = ¼

Answer:

8.6

Step-by-step explanation:

There is an easier way which is finding the slope of the equation but I'm going to stick to distance formula(which is easier for me).

For this, you would have to know the distance formula which is

d=√(x2−x1)^2+(y2−y1)^2

Which simplifies into [tex]\sqrt{(7)^2 +(5)^2}[/tex] which you get from 6-(-1) and -2-(-7)

Further simplifies into [tex]\sqrt{49+25}[/tex]

=[tex]\sqrt{74}[/tex]

=8.602325

use the distance formula:

√ ( x2 - x1 )² + ( y2 - y1 )²

√ ( 6 - ( - 1 ) )² + ( - 2 - ( - 7 ) )²

√ ( 7 )² + ( 5 )²

√ 49 +25

√ 74

8.602325267

8.6 is the answer

Answer:

.

Step-by-step explanation:

Answer:

it must be y=-5x+21

Step-by-step explanation:

lets type the equation in front of us and make it simple so we can deal with it

y-1=-5(x-4)

first thing you need to do is to remove those brackets by multiplying whats in the bracket by -5 like this

y-1=-5x+20             -5*x=-5,,  -5*-4=20 (note: when you multiply negative with

                                                               negative result is positive)

then add each side by 1 so it will be

y=-5x+21

Answer:

0.82 m/s^2

Step-by-step explanation:

Given data

initial velocity=20m/s

Final velocity= 30m/s

Time = 12.2s

Applying the formula

a= v-u/t

a= 30-20/12.2

a= 10/12.2

a= 0.819

a=0.82 m/s^2

The sum or difference modeled by the algebra tiles shown in the image is: [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1[/tex]. The correct option is C.

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

The tiles on the left side of the equation represent the polynomial x^2 - 2x - 3, which can be factored as (x - 3)(x + 1).

The tiles on the right side of the equation represent the polynomial -x - 4x - 2, which can be simplified as -5x - 2.

Substituting these expressions into the original equation, we get:

(x - 3)(x + 1) - (-5x - 2) = 2x - 1

Expanding the left side and simplifying, we get:

[tex]x^2 - 2x - 3 + 5x + 2 = 2x - 1[/tex]

Simplifying further, we get:

[tex]x^2 + 3x - 2 = 2x - 1\\x^2 + x - 1 = 0[/tex]

This is a quadratic equation that can be factored as (x + 1)(x - 1) = 0, which has roots x = -1 and x = 1.

Therefore, the sum or difference modeled by the algebra tiles is C. [tex](x^2 - 2x - 3) - (x + 4x + 2) = 2x - 1.[/tex]

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Answer:

Do 400 x 130 then whatever you get divide it by 1000

Step-by-step explanation:

Answer:

In at least 5 weeks, Jose will have at least 1000$

Step-by-step explanation:

Hope this helps!!!

Answer:

25% of 84 = 21

Step-by-step explanation:

Answer:

10.3 is the width

Step-by-step explanation:

set up an equation

42w=432

divided both sides by 42

W=10.2857142857

to rounded it to nearest tenth it will be 10.3

to check your answer multiply 10.3 by 42 it will be 432

check check

Answer:

18 ≤ w ≤ 24

Step-by-step explanation:

A = l * w

A ≥ 432 sq ft.

l = 42 - w

432 ≤ (42 - w) (w)

432 ≤ -w² + 42w

w² - 42w ≥ 432

Substitute values for w

w = 18

w = 24

Answer:

7.5

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

A factor is a circumstance or action that will/would influence an outcome.

A variable is something that is liable to change or something that isn't temporary.

A product is a result of an action or a process.

Coefficient means a quantity is being multiplied by the variable, for instance:

4 (the coefficient) X (the variable) - (the operator) 7 (the constant) = 5 (the constant)

What that looks like is: 4x-7=5.

Answer:

A

Step-by-step explanation:

f(x) = a(x – h)^2 + k

Vertex (h, k)

according to the equation h= -3  k= -8

Answer:

106°

Step-by-step explanation:

The requried measure of the angle m∠ UTS is given as 106°.

An angle bisector is the line segment that bisects the angle into two equal halves.

here,
For rhombus,
Diagonal of the rhombus, it bisects the angle of the rhombus.
So,

10x - 23 = 3x + 19
x = 37

Now,

∠RUT + ∠UTS = 180
[37 + 37] + ∠UTS = 180
∠UTS = 180 - 74
∠UTS = 106°

Thus, the requried measure of the angle m∠UTS is given as 106°.

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Answer:

approximately equal to/approximate equality/congruent or congruence (in geometry)

Answer: It means Approximate equality Congruence

Answer:

30.4

Step-by-step explanation:

Answer:

B: Step 2; 6x − 8 = 12 + 2x

Step-by-step explanation:

the student added  2 x 4 during the distributive property but you must multiply so you get 8 rather than 6.

Answer:

b

Step-by-step explanation:

Answer: Samsung Galaxy S12

Answer:

S₁₂ = 531440

Step-by-step explanation:

There is a common ratio between consecutive terms, that is

r = 6 ÷ 2 = 18 ÷ 6 = 3

This indicates the sequence is geometric with sum to n terms

[tex]S_{n}[/tex] = [tex]\frac{a(r^n-1)}{r-1}[/tex] ( r ≠ 1 )

where a is the first term and r the common ratio

Here a = 2 and r = 3 , then

S₁₂ = [tex]\frac{2(3^{12}-1) }{3-1}[/tex]

     = [tex]\frac{2(531441-1)}{2}[/tex]

     = 531441 - 1

     = 531440