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3 years ago

Complete the statement. Round to the nearest tenth if necessary. 3 km per minute = __ mi per hour?

Mathematics

1 answer:

Lesechka [4]3 years ago

3 0

Answer:

20.00

Step-by-step explanation:

Divide 60 per minute its a formula.

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Daniels mom started a college savings account for him when he was born.she opened the account with $5 and planned to deposit $10

Tanzania [10]

Answer:

m(x) = 5 + 100x

Step-by-step explanation:

Let m(x) be the balance of the account after x months.

m(x) = 5 + 100x

8 0

3 years ago

What is the recursive rule for this geometric sequence? 27, 9, 3, 1, ... Enter your answers in the boxes.

ANEK [815]

Answer:

$a_n=a_{n-1}(\frac{1}{3})\\a_1=27$

Step-by-step explanation:

A recursive formula is a formula in which each term is based on the previous term.

In a geometric sequence, each term is found by multiplying the previous term by a constant.

To get from 27 to 9, then from 9 to 3, etc., we would multiply by 1/3. This makes the common ratio 1/3.

The recursive formula for a geometric sequence is

$a_n=a_{n-1}(r)$ , where $a_n$ represents the general term, $a_{n-1}$ , represents the previous term, and r represents the common ratio.

Plugging in our values, we have

$a_n=a_{n-1}(r)$

We also have to indicate what the first term, a₁, is. In this sequence, it is 21. This gives us

$a_n=a_{n-1}(\frac{1}{3})\\a_1=27$

8 0

3 years ago

Read 2 more answers

Is (the number in the photo) rational or irrational?

Leno4ka [110]

Answer:

irrational

Step-by-step explanation:

4 0

3 years ago

A young child throw a ball upwards with an initial velocity of 20 feet/second. The height of the ball (in feets) after t seconds

Levart [38]

If this is a parabolic motion equation, then it is a negative parabola, which looks like a hill (instead of a positive parabola that opens like a cup). Your equation would be h(t)= -16t^2 + 20t +3. That's the equation for an initial velocity of 20 ft/s thrown from an initial height of 3 ft. And the -16t^2 is the antiderivative of the gravitational pull. Anyway, if you're looking for the maximum height and you don't know calculus, then you have to complete the square to get this into vertex form. The vertex will be the highest point on the graph, which is consequently also the max height of the ball. When you do this, you get a vertex of (5/8, 9.25). The 9.25 is the max height of the ball.

7 0

3 years ago

Which graph shows the rotation of the shape above, 90° counterclockwise about the origin?

lara31 [8.8K]

Answer:

Step-by-step explanation:

the rule of a 90⁰ counterclockwise rotation is (x,y) -> (-y,x)

For example, if you rotated a point at (3,2) by 90⁰ counterclockwise. You would change it to (-2,3).

5 0

3 years ago