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k0ka [10]
3 years ago
7

Which sequence below represents an exponential sequence A.) {2,6,10,14,18,...} B.) {3,5,9,16,24,...} C.) {4,8,24,96,...} D.) {25

6,64,16,4,...}
Mathematics
1 answer:
denis-greek [22]3 years ago
6 0

Answer:

  D.)  {256,64,16,4,...}

Step-by-step explanation:

Look for the sequence in which adjacent terms are related by a common ratio.

  A. 10/6 ≠ 6/2

  B. 9/5 ≠ 5/3

  C. 8/4 ≠ 24/8

  D. 64/256 = 16/64 = 4/16 = 1/4 . . . . this exponential sequence has a common ratio of 1/4

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Can someone describe constant of proportionality pls
Luden [163]

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

Step-by-step explanation:

6 0
3 years ago
If f(x)=4x+5 what is f(4)
Aleonysh [2.5K]

Answer:

Step-by-step explanation:

f(4) = 4(4) + 5

f4= 16 + 5

f4= 21

f = 21/4

f= 5.25

5 0
3 years ago
When 8 is added to 3times a certain number, the result is the same as adding 12 to twice the number. find the number​
White raven [17]

Answer:

The number is 4

Step-by-step explanation:

<u>Choose a variable for the number.</u>

let the number be "x"

<u>Make an equation</u> with the information from the problem. Break down each part of the problem and change it to the algebraic form (numbers and symbols).

"When 8 is added to"               8 +  

"3 times a certain number"       3x

"the result is the same as"         =

"adding 12 to"                            12 +

"twice the number"                   2x

Put the equation back together with each of the parts.

8 + 3x = 12 + 2x

<u>Now isolate "x"</u> to the left side to find the number.

8 + 3x - 2x = 12 + 2x - 2x       Subtract 2x from both sides

8 + x = 12                           "x" is only on the left side

8 - 8 + x = 12 - 8                Subtract 8 from both sides

x = 4                             Solved for the number

Therefore the number is 4.

5 0
3 years ago
Solve for Y<br><br> ABC = DEF
suter [353]

Answer:

12

Step-by-step explanation:

△ABC ≅ △DEF means that these two triangles are congruent to each other. Congruent triangles also have corresponding sides and angles that are equal to each other!

This means that angle A corresponds to angle D; and thus, we can set up in equation for these two to solve for y.

First, let's try to decipher what exactly we are solving. Y is what we are multiplying by five to get 60°, or angle A (congruent angle).

Now, we just solve it!

60=5y

y=12

4 0
3 years ago
Exercise 4
AleksandrR [38]

Answer:

1. 2.19 cm

2. 30.2m

3. 2.65 cm

4. 9.33cm

5. 14.2 mm

6.497000km²

Step-by-step explanation:

Use the pi button on a calculator and give answers to 3's.f.

1. A circle has an area of 15 cm². Find its radius.

Area of a circle = πr²

15cm² = π × r²

r² = 15cm²/π

r² = 4.7746482927568605

r = √(4.7746482927568605)

r = 2.1850968612 cm

Approximately to 3 s.f ≈ 2.19 cm

2. A circle has a circumference of 190 m. Find its radius.

The circumference of a circle = 2πr

C = 190m

Hence:

190m = 2πr

r = 190m/2π

r = 30.239439187m

Approximately to 3 s.f = 30.2m

3. Find the radius of a circle of area 22 km².

Area of a circle = πr²

22km² = π × r²

r² = 22km²/π

r² = 7.002817496

r = √(7.002817496)

r = 2.6462837142 cm

Approximately to 3 s.f ≈ 2.65 cm

4. Find the radius of a circle of circumference 58.6 cm.

The circumference of a circle = 2πr

C = 58.6cm

Hence:

58.6cm = 2πr

r = 58.6cm/2π

r = 9.3264796652cm

Approximately to 3 s.f = 9.33cm

5. A circle has an area of 16 mm². Find its circumference.

Step 1

Find the radius

Area of a circle = πr²

16 mm² = π × r²

r² = 16 mm²/π

r² = 5.092958178940651

r = √(5.092958178940651)

r = 2.2567583342mm

Circumference of a circle = 2πr

Circumference = 2 × π × 2.2567583342

= 14.179630807mm

Approximately to 3 s.f ≈ 14.2 mm

6. A circle has a circumference of 2500 km. Find its area.

Step 1

Find the radius

The circumference of a circle = 2πr

C = 2500km

Hence:

2500km = 2πr

r = 2500km/2π

r = 397.88735773km

Area of a circle = πr²

Area of the circle = π ×(397.88735773km)²

Area of the circle = 497359.19716km²

Approximately to 3 s.f = 497000km²

5 0
3 years ago
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