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faust18 [17]
3 years ago
6

After 8 hours of snow, the temperature dropped by 16 degrees. What was the average change in temperature each hour while it was

snowing?
Mathematics
2 answers:
jekas [21]3 years ago
8 0

The weather dropped 2 degrees for every hour is snowed.

Hope this helps!

cupoosta [38]3 years ago
7 0

Answer:

The temperature dropped 2 degrees

Step-by-step explanation:

16 divided by 8

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Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 38
Novosadov [1.4K]

Answer:

33

Step-by-step explanation:

1254 divided by 38 is 33

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Bas_tet [7]

Step-by-step explanation:

use Pythagoras theorem,

{a}^{2}  +  {b}^{2}  =  {c}^{2}

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2 years ago
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Which function represents a reflection of f(x) = 5(0.8)^x across the x-axis?
Vikki [24]

Answer: The correct option is second.

Explanation:

The given function is,

f(x)=5(0.8)^x

If we graph a function is f(x), then its coordinates is defined as (x,f(x)).

When the graph of f(x) is reflect across the x-axis, then the the x-coordinate remains the same and the sign of y-coordinate is changed. It means after reflecting across the x-axis,

(x,y)\rightarrow(x,-y)

The given given equation can be written as,

y=5(0.8)^x

To find the equation of the graph after reflection across the x-axis multiply both sides by -1.

-y=-5(0.8)^x

Because f(x)=y and g(x)=-y.

g(x)=-5(0.8)^x

Therefore the second option is correct and the graph of both function is given below.

6 0
3 years ago
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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
Ardi and Lei are both travelling by train. Ardi's train travels 70 km in 35 minutes. Lei's train travels 585 km. It leaves at 9:
Leni [432]

Answer:

10 km/hr

Step-by-step explanation:

Average speed = Total distance travelled / Total time taken

Ardi:

Total distance travelled = 70 km

Total time taken = 35 minutes = 35/60 hour

Average speed = Total distance travelled / Total time taken

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= 70 × 60/35

= 4,200/35

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Lei:

Total distance travelled = 585 km Total time taken = 9:05 - 13:35 = 4 hours 30 minutes

= 4.5 hours

Average speed = Total distance travelled / Total time taken

= 585 km / 4.5 hours

= 130 km/hr

Difference, in km/h, between the average speed of their trains = Lei's train - Ardi's train

= 130 km/hr - 120 km/hr

= 10 km/hr

3 0
3 years ago
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