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3 years ago

The first four terms of a sequence are shown.

Mathematics

1 answer:

velikii [3]3 years ago

5 0

Answer:

$f(x)=2(5^{x-1})$

Step-by-step explanation:

you can see that each term is 5 times the previous term. Since the first term is 2, the sequence is

2, 2(5), 2(5^2), 2(5^3), . . . .

You can see that 5 is raised to the power 1 less than the term number. So,

$f(x)=2(5^{x-1})$

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AC is tangent to circle o at point C.

timofeeve [1]

The length of AB is 18 units

<u>Explanation:</u>

AOC forms a right angle triangle

where,

OC is the height

AC is the base

AO is the hypotenuse

Using pythagoras theorm:

(AO)² = (OC)² + (AC)²

(AO)² = (7)² + (24)²

AO = 25 units

Length AB = ?

According to the figure:

AO = AB + BO

25 = AB + 7 (OB is the radius of the circle)

AB = 18units

Therefore, the length of AB is 18 units

5 0

3 years ago

A gym teacher orders 16 dodgeballs. each case contains 4 dodgeballs. which of the following equations represents the number c of

DaniilM [7]

4c=16
4 in each container and you're working out how much containers (c) you need for 16 dodgeballs, so 4c=16

7 0

3 years ago

The table shows the value of an account x years after the account was opened. Based on the exponential regression model, which i

lana66690 [7]

Answer:

Correct choice is B

Step-by-step explanation:

The exponential regression model can be written as exponential function

$y=a\cdot b^x.$

Then

$5,000=a\cdot b^0=a,\\ \\5,510=a\cdot b^2\Rightarrow 5,510=5,000\cdot b^2,\\ \\b^2=\dfrac{5,510}{5,000}=\dfrac{551}{500}\Rightarrow b\approx 1.05.$

Thus,

$y=5,000\cdot (1.05)^x.$

When $x=12,$ you get

$y(12)=5,000\cdot (1.05)^{12}\approx \$8,980.$

6 0

4 years ago

Read 2 more answers

marco and Elaine want to paint the entire stand silver. A can of paint goers 25 square feet and costs $6.79. They set aside $15

love history [14]

ok about this exercise, we need the square meters measured by the entire stand to do the calculations, because the statement only gives the square meters that are painted with a paint can

5 0

4 years ago

A rectangular flowerbed is 22 inches long by 8 inches wide. The flowerbed is filled to a depth of 6 inches with dirt. What is th

Dmitry_Shevchenko [17]

Answer:

The volume of the dirt in the flowerbed is $1,056\ in^{3}$

Step-by-step explanation:

we know that

To find the volume of the dirt in the flowerbed, multiply the long by the width by the depth

$V=(22)(8)(6)=1,056\ in^{3}$

4 0

3 years ago