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3 years ago

Paige starts a stamp collection with 4 stamps. Every month, she adds 3 starps

Mathematics

1 answer:

irina [24]3 years ago

3 0

Answer:

3m + 4

Step-by-step explanation:

4 is the starting number of stamps and 3m represents 3 stamps per month

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5. If position of object x = 3 sinΘ – 7 cosΘ then motion of object is bounded between position.

lesya692 [45]

9514 1404 393

Answer:

±√58 ≈ ±7.616

Step-by-step explanation:

The linear combination of sine and cosine functions will have an amplitude that is the root of the sum of the squares of the individual amplitudes.

|x| = √(3² +7²) = √58

The motion is bounded between positions ±√58.

_____

Here's a way to get to the relation used above.

The sine of the sum of angles is given by ...

sin(θ+c) = sin(θ)cos(c) +cos(θ)sin(c)

If this is multiplied by some amplitude A, then we have ...

A·sin(θ+c) = A·sin(θ)cos(c) +A·cos(θ)sin(c)

Comparing this to the given expression, we find ...

A·cos(c) = 3 and A·sin(c) = -7

We know that sin²+cos² = 1, so the sum of the squares of these values is ...

(A·cos(c))² +(A·sin(c))² = A²(cos(c)² +sin(c)²) = A²(1) = A²

That is, A² = (3)² +(-7)² = 9+49 = 58. This tells us the position function can be written as ...

x = A·sin(θ +c) . . . . for some angle c

x = (√58)sin(θ +c)

This has the bounds ±√58.

3 0

3 years ago

How to write out a one-step equation for a word problem. Maggie spent half of the money in her savings account on a new computer

Fittoniya [83]

Answer:

(1/2)s = 345

s = 690 (Maggie's savings balance)

Step-by-step explanation:

For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for

what you're being asked to find (what is the question to answer)
the information you're given that is relevant to the question asked.

Here, you're asked to find a savings account balance. You're told that $345 is half that amount.

After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.

A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)

The problem statement tells us that half the savings account amount is $345, so our equation is ...

(1/2)s = 345

The "one step" required to solve this so to multiply both sides of the equation by 2.

s = 690

Maggie had $690 in her savings account before she bought the computer.

5 0

3 years ago

there are 4 oranges and 2 tangerines in a basket. Which fraction describes the part of the basket that is orange

Pepsi [2]

Answer:

4/6

Step-by-step explanation:

You know that there is a total of 6 fruits in the basket.(you can find the total by adding the number of each item together.)

Then you simply find the total amount of oranges(4).

"There are 4 oranges out of the 6 fruits in the basket"/

So, 4/6.

<em>Hope this helped! :)</em>

6 0

3 years ago

Read 2 more answers

16. A farmer had 385.60 lb of tomatoes. She sold half of them at $1.15 per pound. How much money did she receive?

fenix001 [56]

She received $221.72. If you divide 385.60 in half, because she sold half, you get 192.8. You then multiply that number by 1.15. There you have your answer.

5 0

1 year ago

Read 2 more answers

Find all solutions in the interval [0, 2π) sin2x + sin x = 0

Molodets [167]

Sin 2 x + sin x = 0
( sin 2 x = 2 sin x cos x )
2 sin x cos x + sin x = 0
sin x ( 2 cos x + 1 ) = 0
sin x = 0
x 1 = 0
x 2 = π
or: 2 cos x + 1 = 0
2 cos x = - 1
cos x = -1/2
x 3 = 2π/3
x 4 = 4π/3

3 0

3 years ago