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3 years ago

~15 POINTS~

1 answer:

7 0

Let's call bicycles 'b' and unicycles 'u'
Note that bicycles have 2 tires, and unicycles have 1 tire.

We can make two equations:

b = u + 8
2b + 1u = 46

Solving the first equation for u, we get:

u = b - 8

Plug that equation into the second, and we get:

2b + (b - 8) = 46

Subtract 2b on both sides.

1(b - 8) = 46 - 2b

Basically, I used b and your question used n.

The correct answer is: D. 1(n - 8) = 46 - 2n.

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Question 1: The water level in a tank can be modeled by the function h(t)=4cos(+)+10, where t is the number of hours

Amanda [17]

Answer:

Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours

Question 2: Sin of the angle is -0.8

Step-by-step explanation:

Question 1: Here we have h(t) = 4·cos(t) + 10

The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = \frac{\mathrm{d} \left (4cos(t) + 10 \right )}{\mathrm{d} t} = 0$

$\frac{\mathrm{d} h(t)}{\mathrm{d} t} = - 4 \times sin(t) = 0$

∴ sin(t) = 0

t = 0, π, 2π

Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.

Question 2:

B = (3, -4)

Equation of circle = x² + y² = 25

Here we have

Distance moved along x coordinate = 3

Distance moved along y coordinate = -4

Therefore, we have;

$Tan \theta = \frac{Distance \ moved \ along \ y \ coordinate}{Distance \ moved \ along \ x \ coordinate} = \frac{-4}{3}$

$\therefore \theta = Tan^{-1}(\frac{-4}{3}) = -53.13^{\circ}$

Sinθ = sin(-53.13) = -0.799≈ -0.8.

5 0

3 years ago

5a + c = -8a <br><br> Solve the equation for the variable a

adelina 88 [10]

$5a+c=-8a \\\\ 5a+8a=-c \\\\ 13a=-c \\\\ \boxed{a=-\frac{c}{13}}$

6 0

4 years ago

Read 2 more answers

A wine maker has 2 wine barrels labeled A and B. There is more wine in barrel A than in barrel B. The wine maker wants the 2 bar

Rudiy27

Answer:

Step-by-step explanation:

Gonna take this nice and slow. First, at the end it says together both barrels have 48 pints when equal, which means added together they have 96. This stays even as we pout from one to the other. So A+B = 96. Keep that in mind. Also I hope you're good with your systems of equations.

One step at a time. We start with A and B

First, he doubles what is in B, which means he takes that much out of A.

A turns to A-B and B turns to 2B, hopefully you understand that.

Second A is doubled, which means that much is taken out of B.

A-B turns to 2(A-B) or 2A - 2B and 2B turns to 2B - (A - B) or 3B - A

Third and finally B is doubled again

2A - 2B turns to 2A - 2B - (3B - A) or 3A - 5B and 3B - A turns to 2(3B - A) or 6B - 2A

Now we have our system.

A + B = 96

3A - 5B = 6B - 2A or to make it a little nicer 5A = 11B

Let me know if you need help witht he system solving, but you wind up with

A = 66

B = 30

Again, let me know if you don't understand some part.

7 0

3 years ago

Read 2 more answers

A man recipe for 5 dozen cookies for 4 cups of flour . How much flour is needed to make 90 cookies . ( show you work

Monica [59]

Answer:

6 cups

Step-by-step explanation:

12×5=60(cookies in 4 cups of flour)

90-60=30(30 cookies in 2 cups

6 0

3 years ago

Read 2 more answers

During his workouts last week, Allen jogged the same amount of time each day for 6 days. Use the following information to determ

vodomira [7]

I hope this helped you

8 0

3 years ago

~~~15 POINTS~~~

~15 POINTS~