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Ronch [10]
3 years ago
11

What is 8.42 times 10 to the 3rd power​

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0

Answer:

8420

Step-by-step explanation:

10 to the third power will move the decimal point three place values to the right. So, the first two times you move it, you get 842, and so there is a 0 on the end to signify that it moved the third time.  

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What is 15/20 in lowest term
PtichkaEL [24]

Answer:3/4

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
When draining her hot tub, the height of the water in Brittany’s hot tub decreases at a rate of 2 inches per minute. After 9 min
N76 [4]

Step-by-step explanation:

a.

Let's give the starting amount of water as s. Every minute, 2 inches of water are lost, meaning that given the starting amount, s, we subtract 2 inches from s every minute, so s - 2 every minute = height of water left, so s - 2t (t representing minutes) = h

To figure out s, we simply plug our known value -- 9 minutes in and 11 inches left. s - 2(9) = 11, s-18=11, s= 29

29 - 2t = h

b. We know that we cannot have negative minutes, so the minimum amount of time that makes sense is 0. To figure out the maximum, we stop counting how much time has occurred when there is no water left, so we have to figure out when h = 0

29-2t = h = 0

t=14.5

Therefore, anything between 0 and 14.5 minutes makes sense

c. Anything between 0 and 29 makes sense because the height of water cannot be negative and we cannot get higher than the starting amount

5 0
3 years ago
Helpppp!!!!!!!!!!!!!!
ratelena [41]

Answer:

3075

Step-by-step explanation:

3 0
3 years ago
Identify the vertex, focus, and directrix of the graph. Which of the following equations represents the parabola in the graph?
antoniya [11.8K]

Answer:

Equation: (x-2)^2=16(y-2)

Vertex: (2,2)

Directrix: y=-2

Focus: (2,6)

Step-by-step explanation:

<u>Standard Form of Vertical Parabola:</u>

  • Equation -> (x-h)^2=4p(y-k) where p\neq 0
  • Vertex -> (h,k)
  • Directrix -> y=k-p
  • Focus -> (h,k+p)

We know that our vertex is (h,k) -> (2,2), therefore, we can determine the value of p by selecting a point from the parabola as (x,y):

(x-h)^2=4p(y-k)

(x-2)^2=4p(y-2)

(6-2)^2=4p(3-2)

(4)^2=4p(1)

16=4p

4=p

<u>Therefore:</u>

  • Directrix -> y=k-p -> y=2-4 -> y=-2
  • Focus -> (h,k+p) -> (2,2+4) -> (2,6)

<u>Conclusion:</u>

  • Equation -> (x-2)^2=16(y-2)
  • Vertex -> (2,2)
  • Directrix -> y=-2
  • Focus -> (2,6)

Review the graph for a visual

5 0
3 years ago
‼️‼️solve each system of equations by graphing. describe as consistent, independent, inconsistent etc. #1-8 &amp; #10-12. please
Harlamova29_29 [7]

Answer:

# 1. Answer: (x,y) = (3,5)     #2. Answer: (x,y) = (2,7)

#3 Answer: (x,y) = (3,-3)  #4 Answer: (x,y) = (-4, -5)

#5 Answer: (x,y) = (6,7)   #6 Answer: (x,y) = (-2, -1)

#7 Answer: (x,y) = (-4, -5)   #8 Answer: (x,y) = (6,-2)

#10 (x,y) = (x,y) ∈∅

#11 (x,y) = (-\frac{9}{2} - \frac{3}{2}y, y), y ∈ R

#12 (x,y) = \frac{35}{23}, \frac{31}{23}

Step-by-step explanation:

Not writing out all these solutions. I suggest you download the app. Photomath it goes over the explanation too.

4 0
3 years ago
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