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MArishka [77]
3 years ago
12

Calvin earned $1,425 dollars by working five days in a week . He also received a bonus of $200.What is the average amount that h

e eared per day
Mathematics
1 answer:
DENIUS [597]3 years ago
3 0

Answer:  Average amount that he earned per day =$325

Explanation:

Amount Calvin earned by working five days in a week = $1425

Amount he received a bonus = $200

Total amount earned in a five days  is given by

= \$1425+\$200\\=\$1625

Average amount that he earned per day =\frac{ \text{Sum of observation}}{\text{Total number of observation}}

So, Average amount that he earned per day is given by

=\frac{1625}{5}\\=\$325

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I WILL MARK BRAINIEST<br> I got one correct there should be about one more that’s also right
Lesechka [4]

So essentially an adjacent angle is when two angles have a common side and a common vertex.

So knowing that we can determine from the picture all the adjacent angles:

D) <2 and <3 are adjacent angles

E) <1 and <3 are adjacent angles

F) <1 and <5 are adjacent angles

I hope this helps.

7 0
3 years ago
Design a sine function with the given properties:
Rom4ik [11]

Answer:

f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

Step-by-step explanation:

Given information:

Period = 24 hr

Maximum = 16 at t=16 hr.

Minimum = 10 at t=4 hr.

The general sin function is

y=A+\sin(B(x-C))+D        .... (1)

where, |A| is altitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

Period is 24 hr.

24=\dfrac{2\pi}{B}\Rightarrow B=\dfrac{\pi}{12}

Altitude is

A=\dfrac{Maximum-Minimum}{2}=\dfrac{16-10}{2}=3

D=\dfrac{Maximum+Minimum}{2}=\dfrac{16+10}{2}=13

The function is minimum at t=4 and maximum at t=16,phase shift is

C=\dfrac{16+4}{2}=10

Substitute these values in equation (1).

y=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13

Therefore, the required function is f(x)=3\sin\left(\frac{\pi}{12}\left(x-10\right)\right)+13.

8 0
3 years ago
Superman needs to save Lois from the clutches of Lex Luther. After flying for 15 seconds, he is 2100 meters from her. Then at 18
posledela

Part A

x = time in seconds that have gone by

y = distance in meters Superman is away from Lois

"After flying for 15 seconds, he is 2100 meters from her" means we have the point (x,y) = (15, 2100)

"at 18 seconds he is 1980 meters from her" tells us we have a second point (x,y) = (18,1980)

--------

Find the slope of the line through these two points

m = (y2-y1)/(x2-x1)

m = (1980-2100)/(18-15)

m = (-120)/(3)

m = -40

The slope is -40 which means Superman is getting 40 meters closer each second. I.e, the distance is dropping 40 meters per second

--------

Use one of the points and the slope to find the y intercept b

y = mx+b

2100 = (-40)*15 + b

2100 = -600 + b

2100+600 = b

b = 2700

This is the starting distance Superman is away from Lois

--------

Since m = -40 and b = 2700, we know the y = mx+b equation becomes y = -40x+2700.

Replace x with s, replace y with m. We now have m = -40s+2700

---------

<h3>Final Answer:  m = -40s+2700</h3>

============================================

Part B

Plug s = 6 into the equation we found for part A. Then simplify.

m = -40s+2700

m = -40*6+2700

m = -240+2700

m = 2460

---------

<h3>Final Answer: 2460 meters</h3>
7 0
3 years ago
What is the rate of change for this imagine
GaryK [48]

3, -1

Step-by-step explanation:

It goes 3 to the positive side

and one down side

4 0
3 years ago
Read 2 more answers
Vertex form of -x^2-8x-16
WARRIOR [948]

Answer:

y =  - (x + 4)^{2}

6 0
3 years ago
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