Cos(x+30°) - cos(x+48°) = 0.2<br> Solve for x

Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig

miss Akunina [59]

Answer:

$f(t) = -0.05t +12$

Step-by-step explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

$f (0) = 3 + 9\\f (0) = 12$

With these two points we can find the function:

If m is the slope of the line, then:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{9-12}{60-0}\\\\m = -0.05\\\\f (t) = -0.05t + c$

Where by definition $c = f(0) = 12$

Finally the formula is:

$f(t) = -0.05t +12$

3 0

2 years ago

Read 2 more answers

The box plot compares Marta’s and Ani’s diving scores in the first several meets of the season.

astraxan [27]

Answer:

i hope this helps

Step-by-step explanation:

The answer would be A, or "A box-and-whisker plot. The number line goes from 0 to 12, and the box ranges from 4 to 10. A line divides the box at 7.

Step-by-step explanation:

If you plot the data (2, 4, 6, 8, and 12) it looks something like the poor box-and-whisker plot below

⊕← | Ф | →⊕

|---|---|---|---|---|---|---|---|---|---|---|---|

0 1 2 3 4 5 6 7 8 9 10 11 12

Description A describes that exact box-and-whisker plot.

5 0

2 years ago

Read 2 more answers

Let g(x)= -2(3x+4)(x−1)(x−3)^2 be a polynomial function. Name all horizontal and vertical intercepts of the graph. State the end

lesantik [10]

Answer:

The vertical intercepts is

(4/3,0) (3,0) (1,0)

The horinzontial intercepts is

(0,72)

The end behavior is

<em>as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.</em>

Step-by-step explanation:

The vertical or y intercepts will be zeroes of the following factors.

$3x + 4 = 0$

$x - 1 = 0$

$(x - 3) {}^{2} = 0$

We solve for x each time.

$x = - \frac{4}{3}$

$x = 1$

$x = 3$

Part B). We need to find the intercepts by setting the equation equal to zero.

The constant expanded will equal 72.

If x=0,

${0}^{y} = 0$

where y is any real number.

So this means all the exponets will equal 0. The constant will just add to the term. so our horinzontal intercept is

$0 + 72 = 72$

Part C) End Behavior

The leading degree is even. Even Degree Polynomials like Quadratics tend to go approach positive infinity vertically as x approaches positive infinity, and as x approaches negative infinity, it approaches positive infinity vertically.

Our leading coefficient is negative so this means our quadratic will get reflected across the x axis.

Now this means, as x approaches positive infinity, f(x) approaches negative infinity. As x approaches negative infinity, f(x) approaches negative infinity.

7 0

2 years ago

You have four tiles that say M, A, T, and H. How many words can you form from these tiles? For example, you can form "AMH" and "

bazaltina [42]

1) You have four tiles that say M, A, T, and H. How many words can you form from these tiles? For example, you can form "AMH" and "TH". (The words do not have to be valid English words.)

2)How many numbers among 1, 2, 3, 1000 are not divisible by 9?

3)Andrew chooses a number from 1 to 100, and Mary also chooses a number from 1 to 100. (They may choose the same number.) It turns out that the product of their numbers is even. In how many ways could Andrew and Mary have chosen their numbers?

4)How many numbers between 50 and 250 (inclusive) are not perfect squares?

5)Dmitri has a pair of standard dice; one die is blue, and the other die is yellow. He rolls both of his dice. How many ways could the number on the blue die be larger than the number on the yellow die?

6) Bob flips a penny, a nickel, and a dime. How many ways can she get at least two heads?

3 0

2 years ago

Read 2 more answers

Elene and abbi are in a race. Elene can run 3 meters per second and abbi can run 2 meters per second. Elene gives abbi a 10 mete

Romashka-Z-Leto [24]

Answer:

10 Seconds

Step-by-step explanation:

Speed of Elene = 3m/s

Speed of Abbi = 2m/s

Let the time be t seconds taken by Elene to catch abbi.

Distance for any speed S and time is calculated by formula given below

Distance = speed * time

distance covered by Elene in time t = 3m/s * t = 3t m -->equation A
distance covered by Abbi in time t = 2m/s* t = 2t m --> equation B

Since it is given that Elene has given abbi 10 m head start it means that

Elene has to run extra 10 meters than Abbi to catch abbi.

Thus we can say that

distance run by Elene = 10 m + distance run by Abbi

Substituting that value distance run by Elene from equation A

and distance run by Abbi from equation B

we have

3t = 2t +10

=>3t - 2t = 10

=> t = 10

Therefore it will take 10 second for elene to catch abbi.

6 0

2 years ago

Cos(x+30°) - cos(x+48°) = 0.2 Solve for x