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3 years ago

6

The tree frog population in your back yard doubles every two weeks. Currently, there are 10 frogs in your back yard. Assuming th

at there are 4 weeks in a month how many tree frogs will there be in 3 months?

1 answer:

nikklg [1K]3 years ago

4 1

20,480

week
1-10
2-20
3-40
4-80
5-160
6-320
7-640
8-1,280
9-2,560
10-5,120
11-10,240
12-20,480

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A television company charges $60 for the first half-hour of work and $40 for each additional hour. Blue mountain camp has budget

Alexandra [31]

Answer:

For a length of total of 4 hrs, the budget of $200 will not exceed.

Step-by-step explanation:

Here, the first half hour charge for repairing = $60

The next hour charge = $40 her hour

Total budget to be spent by Blue Mountain Camp = $200

Now, here, the cost of 0.5 hour = $60

So, the amount left after 0.5 hour repair = $200 - $60 = $140

Let us assume we can hire the service for m hours in $140

Cost of 1 hour charge = $40

Cost of m hour charge = m X ( 1 hour charge) = m x ($40) = 40 m

⇒ 40 m = 140

or, m= 140/40 = 3.5, or m = 3.5

⇒ In $140 left, they can get a service of 3.5 hours at $40 per hour.

Now, the total hours of services hired = 0.5 hour in $60 + 3.5 hr in $140

= 0.5 hr + 3.5 hr = 4 hrs

Hence, for a length of total of 4 hrs, the budget of $200 will not exceed.

4 0

3 years ago

Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.

jonny [76]

Answer:

∠13 ≅ ∠16 - Vertical Angles Theorem

∠10 ≅ ∠14 - corresponding angles for parallel line p and q cut by the transversal s

∠5 ≅ ∠13 - corresponding angles for

parallel lines r and s cut by

the transversal q

∠1 ≅ ∠5 - corresponding angles for

parallel lines r and s cut by

the transversal q

Step-by-step explanation:

Linear Pair Theorem won't be used. When you look at the lines on the image you see that 13 and 16 are vertical from each other making there answer the vertical angles theorem. When you look at 10 and 14 you see that they lie on p and q with s going in the center of them. When you look at 5 and 13 they lie on s and r with q going down the middle of them. With 1 and 5 they also lie on p and q but r goes down the center of them instead of s.

6 0

3 years ago

Read 2 more answers

What is the area of this composite figure?

Natalija [7]

Answer:

C.) 7.14 in²

Step-by-step explanation:

The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.

The area of the square can be found by multiplying length times the width:

$2*2=4$

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:

A=4in²

Now find the area of the circle using the formula:

$A=\pi r^2$

The radius is half of the diameter, so the radius is 1. Insert values and solve:

$A=\pi *1^2\\\\A=\pi *1\\\\A=\pi$

The area of the circle is equal to π. Add the values together:

$4+\pi =7.14$

The area of the figure is 7.14 in²

:Done

4 0

3 years ago

Write -3+4i in the form r(cosx+isinx)

Zanzabum

$-3+4i$ is a complex number that satisfies

$\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}$

The last equation immediately tells you that $r=5$ .

So you have

$\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}$

Dividing the second equation by the first, you end up with

$\dfrac{\sin x}{\cos x}=\tan x=\dfrac{\dfrac45}{-\dfrac35}=-\dfrac43$

Because the argument's cosine is negative and its sine is positive, you know that $\dfrac\pi2$ . This is important to know because it's only the case that $y=\tan x\implies \arctan y=x$ whenever $-\dfrac\pi2$ . The inverse doesn't exist otherwise.

However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by $\pi$ , we have

$\tan(x-\pi)=y\implies x=\pi+\arctan y$

All this to say

$\tan x=-\dfrac43\implies x=\pi+\arctan\left(-\dfrac43\right)\approx2.2143\text{ rad}\approx126.9^\circ$

So, $-3+4i=5(\cos126.9^\circ+i\sin126.9^\circ)$ .

5 0

3 years ago

#18-4: Douglas invests $550 in high-yield savings account. The account pays 2.1% simple interest annually. If he doesn't add or

kap26 [50]

Answer:

No

Step-by-step explanation:

You want to calculate the interest on $550 at 2.1% interest per year after 4 years.

The formula we'll use for this is the simple interest formula, or:

I = P x r x t

P is the principal amount, $550.00.

r is the interest rate, 2.1% per year, or in decimal form, 2.1/100=0.021.

t is the time involved, 4 years.

So, t is 4 year time periods.

To find the simple interest, we multiply 550 × 0.021 × 4 to get that:

The interest is: $46.20

3 0

3 years ago