Consider a sequence whose first five terms are: 4, 8, 16, 32, 64.
Which function (with domain all integers n 2 1) could be used to define and continue this sequence?
A f(n) = 4(n-1)
® f(n) = 4(2)"-1
f(n) = 4n2
f(n) = 4n

Answer:

2.30 cm

Step-by-step explanation:

Circumference of circle= πD, where D is the diameter.

Substitute all the given information into the formula:

7.22= 3.14D

Divide both sides by 3.14:

D= 7.22 ÷3.14

D= 2.30 (3 s.f.)

Thus, the diameter is 2.30 cm. (rounded off to 3 significant figures)

Answer:

1. [tex] \theta = 61.9^\circ [/tex]

2. [tex] x = 23.7~cm [/tex]

Step-by-step explanation:

Problem 1.

Use the Law of Sines.

This is SSA.

[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]

[tex] \dfrac{31.2~cm}{\sin 51^\circ} = \dfrac{35.4~cm}{\sin \theta} [/tex]

[tex] \sin \theta = \dfrac{35.4~cm \times \sin 51^\circ}{31.2~cm} [/tex]

[tex] \sin \theta = 0.88176 [/tex]

[tex] \theta = \sin^{-1} 0.88176 [/tex]

[tex] \theta = 61.9^\circ [/tex]

Problem 2.

m<A + m<B + m<C = 180°

m<A + 67° + 58° = 180°

m<A = 55°

Use the Law of Sines.

[tex]\dfrac{a}{\sin A} = \dfrac{c}{\sin C}[/tex]

[tex]\dfrac{x}{\sin 55^\circ} = \dfrac{24.5}{\sin 58^\circ}[/tex]

[tex]x = \dfrac{\sin 55^\circ \times 24.5}{\sin 58^\circ}[/tex]

[tex] x = 23.7~cm [/tex]

Answer:

Step-by-step explanation:

This is a logical question that can be d=solved thus;

To decide which decision to make,one has to calculate the amount for both methods to detrmine which is higher.

1. Using simple interest formula of ( P X R X T)/ 100

Since p  = 1500, r  = 2.5%,  T = 3

1500 x 2.5% x 3  / 100  =  1500 x 0.025 x 3 / 100

112.5 / 100 = 1.125

to find amount  = 1.125 + 1500 = 1501.25 for the three 3years.

2. Using compound interest formula of ( P ( 1 + r/n)∧nt

1 + (2%/3) ∧3(3)

1500( 0.02/3) ∧ 9

1500  x 0.006 ∧9

1500 x 2.60 = 3900

A = 3900 + 1500 = 5400

SO FROM THE ABOVE I WILL G FOR THE HIGH YIELD SAVINGS AS IT IS HIGHER THAN THE INTEREST SAVINGS

Given the data from the question, the best account to use is:

A high interest savings account, with 2.5% simple interest annually (Option 1)

I = PRT / 100

A = I + P

Where

A = P(1 + r/n)ⁿᵗ

Where

I = PRT / 100

I = (1500 × 2.5 × 3) / 100

I = $ 112.5

Thus

A = I + P

A = 112.5 + 1500

A = $ 1612.5

A = P(1 + r/n)ⁿᵗ

Since n = 1,

A = P(1 + r)ᵗ

A = 1500(1 + 0.02)³

A = $ 1591.8

SUMMARY

The amount at the end of 3 years using:

Thus, the best account to use is a high interest savings account, with 2.5% simple interest annually (option 2)

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Answer:

A

Step-by-step explanation:

the quartiles are illustrated as 55 and 59. The average is 57.5 so 58? These are the key points on this type of graph.

Answer:

-3 < x ≤ 13

Step-by-step explanation:

the filled circle is the less/greater than or equal to sign and the open circle is a less/greater than sign.

Answer:

105³

Step-by-step explanation:

3x5=15

15x7=105

105 is your answer.

Answer:27.712812921102

Step-by-step explanation:

24*32=x*x

√768=√x²

27.712812921102=x

Geometric mean formula

a=24

b=32

Find GM

On rounding

Step-by-step explanation:

11 ÷ 20 = 0.55

0.55 × 100 = 55

so 55%

Answer:

the sum of a number

Step-by-step explanation:

0.017

Answer: x ≥ -1

Step-by-step explanation:

First, we see the filled in dot, so we know x can be equal to -1. Since this is a ray, all valid values of x must be greater or equal to -1. Therefore, our answer is x ≥ -1

Answer:

84

Step-by-step explanation:

asked siri

Answer:

84

Step-by-step explanation:

take the percentage and turn it into a decimal so 75 becomes .75

multiply the decimal by the number

.75 x 112 = 84

Answer:

Its the first one, y is always the output and y =mx+b, b is always the y-intercept and m is always the slope

Step-by-step explanation:

Answer:

A. y is the output, x is the input, m is the slope and b is the y-intercept

Step-by-step explanation:

In an equation y = mx + b, we know that:

x is the input

y is the output

m is the slope

b is the y-intercept

Looking for an answer that matches these criteria, we can say that the answer is A.

Answer:

A. 2086 yd²

Step-by-step explanation:

SA = 2lw + 2wh + 2lh
SA = 2*17*20 + 2*20*19 + 2*17*19
SA = 680 + 760 + 646
SA = 2086
Hope this helps :)

The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²

The equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius.

The circle with center (0,6) containing the point (74,2). Hence:

[tex]Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit[/tex]

The equation is:

x² + (y - 6)² = 74.1²

Find out more on circle at: https://brainly.com/question/24375372

The angle measure of minor arc KM is 41 degrees

From the given diagram, we have the following parameters

mKLM = 82 degrees

Required

arcKM

Since the angle at the vertex is twice that of the intercepted arc, then:

<KLM = 2(arcKM)
arcKM = <KLM/2

arcKM = 82/2

arcKM = 41 degrees

Hence the angle measure of minor arc KM is 41 degrees

Learn more on circle geometry here:  

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Answer:

b = sp

Step-by-step explanation:

box = seeds per packet

The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.

Equations are relations shown between two equal algebraic expressions.

We are given a box of sunflower seeds, containing p packets of seeds, each of which contains s number of seeds.

We are asked to write an equation that can be used to find the total number of seeds in the box, b.

We know that the box contains p packets of seeds.

In 1 packet we have s number of seeds.

∴ In p packets, we will have an s*p number of seeds or sp seeds.

Since the box contains p packets and the total number of seeds in the box is b, then we can say that

b = the number of seeds in p packets

or, b = sp, which is the required equation.

∴ The given relation can be used to find the total number of seeds in box b, using the equation b = sp. Hence, 3rd option is the right choice.

Learn more about equations at

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#SPJ2

Step-by-step explanation:

please mark me as brainlest

Answer:

B

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

Answer:

Well I got your 1 mistake.

3 + 3 + 3 + 3 = 12 should be of diagram B not A.

hope it helps.......

Answer:

3/4

Step-by-step explanation:

You didn't simplify it it can go down to 3/4

Answer:

38

Step-by-step explanation: subtraction:

Input interpretation: x: 105-67=

Ratio in lowest terms: 38

Division:

105/67= 1.56...=1 38/67---1R 38= 1 with the remainder of 38. So just 38.

The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.

By the above theorem, the equation is written as,

x + 67 = 107

Simplify the equation, then we have

x + 67 = 105

x = 105 - 67

x = 38°

The value of the variable 'x' using the exterior angle theorem will be 38°. Then the correct option is A.

More about the triangle link is given below.

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Answer:

The value of x = -21/5

Step-by-step explanation:

=> -5x-21 =0

=> -21 = 5x

=> -21/5 = x

Answer:

Step-by-step explanation:

you want to set the equation equal to 0

-5x - 21 = 0

add 21 to both sides to get the variable by itself

-5x = 21

divide both sides by -5

x = - 21/5

Answer:

  16666.25

Step-by-step explanation:

For rounded values, the minimum value they could have been rounded from is the given value less half its least-significant digit.

That means the minimums are ...

  a: 340 ⇒ 340 -5 = 335

  b: 49.8 ⇒ 49.8 -0.05 = 49.75

Then the minimum product would be ...

  (335) × (49.75) = 16666.25

Answer:

y=3

Step-by-step explanation:

12y-4y=8y

8y=24

÷8. ÷8

y=3

Answer:

Step-by-step explanation:

The numbers lies between 80 and 140

80 < x <140

Hollow dot at point 80 and 140 indicates that 80 and 140 are not included

Answer:

15 planes

Step-by-step explanation:

none disappear, just change shape/ability. its a riddle.

Answer:

15-2-1 = 15-3 = 12.

there are 12 planes left.

Step-by-step explanation:

hope this helped have a nice day

Answer:

18.84

Step-by-step explanation:

Answer:

18.8495559215

Step-by-step explanation:

In order to find circuference we use the formula

C= 2π(r)

c= circumference

r= radius

since they gave you the diameter, you first have to find the radius so you would divide the diameter by two since radius is half of a circle so 6 divided by 2 is 3. From here we would plug in 3 for "r" in the formula I wrote above. So C= 2π(3). then type this into a calculator to get the answer I wrote above. Then round as directed

Answer:

acute

Step-by-step explanation:

Here are some helpful rules that will help you out in the future with these questions.

If...

a^2 + b^2 = c^2 its a right triangle

a^2 + b^2 < c^2 its obtuse

a^2 + b^2 > c^2 its acute

so...

Since 6+8>10

its acute

Answer:

It is C

Step-by-step explanation:

Reflection in X axis

Reflecting over the x axis, the x values remain the same and the y values become opposite.

answer: c. (X,y) becomes (x,-y)