The low temperature for 5 days was -5, -7 ,-2,2,and -3. What was the average low temperature for those days? Plz help! :)

Answers

Answer 1
Answer: The average means adding all the numbers and dividing by how many numbers there are.

So the average is:

(-5 -7 -2 + 2 - 3)/(5) = (-15)/(5) = -3

The average low was -3

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What is the value of x in the equation –x = 4 – 3x + 6?

Answers

remember you can do anything to an equaiton as long as you do it to both sides


-x=4-3x
add 3x both sides
3x-x=4+3x-3x
2x=4+0
2x=4
divide 2
2x/2=4/2
2/2x=2
1x=2
x=2

Answer:

The answer is x=5

Cate and Elena were playing a card game. The stack of cards in the middle had 26 cards in it, to begin with. Cate added 5 cards to the stack. Elena then took 13 cards from the stack. Finally, Cate took 4 cards from the stack. How many cards were left in the stack?

Answers

Answer:

14

Step-by-step explanation:

so, 26+5-13-4=ANSWER!!!!!

26 cards to begin with.

Cate added 5 cards to the deck. +5

elena took 13 cards from the deck. -13

Cate took 4 cards from the deck. -4

A round cake pan that is 2 inches deep and has a 7 inch diameter a 6 inch x9 inch rectangular cake pan that is 2 inches deep a. which of these pans has the larger volume justify your answerb. excluding the bottom of the cake what is the surface area of each cake that will be covered by frosting justify your answer

Answers

a) Pan 2 has a larger volume because:

Pan 1:

Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451
38.48451 x 2 = 76.96902inch^3 (76.97inch^3 to 2dp)

Pan 2:

6 x 9 = 54inch^2
54 x 2 = 108inch^3

b)

Pan 1:

Surface area covered =  60.48inch^2 (2dp) because:

Circle area = pi x r^2
7/2 = 3.5
3.5 x 3.5 = 12.25inch^2
12.25 x pi = 38.48451inch^2

Circumference = pi x diameter
pi x 7 = 21.9911486
21.9911486inch^2

21.9911486 + 38.48451 = 60.4756586inch^2

Pan 2:

Surface area covered = 114inch^2 because:

Bottom:
6 x 9 = 54inch^2

2 longer sides:
2 x 9 = 18
18 x 2 = 36inch^2

2 shorter sides:
2 x 6 = 12
12 x 2 = 24inch^2

Total = 54 + 36 + 24 = 114inch^2

(Hope this helps.)


The ordered pair (2, 36) is a solution for which equation(s)? Check all that apply. A. y = (x + 4)2
B. y = 7x2 + 2
C. y = (3x)2
D. y = 2x2

Answers

plug it into each equation and see if both sides are equal:
A. 36 = (2+4)^2 -> 36 = 36 works
B. 36 = 7(2)^2 +2 -> 36 = 30 doesn't work
C. 36 = (3(2))^2 -> 36 = 36 works
D. 36 = 2(2)^2 -> 36 = 8 doesn't work

Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.ax + bx - c = 0

Answers

ax+bx-c=0 \ \ \ |+c \nax+bx=c \n(a+b)x=c \ \ \ |/ (a+b), a+b \not= 0 \n\boxed{x=(c)/(a+b)}
ax+bx-c=0\nx(a+b)=c\nx=(c)/(a+b)

Which if the following is a consequence of the identity sin 2x=2(sin x)(cos x ) ?A. sin y = (sin 1/2y)
B. sin 3y= 3( sin 2y)(cos y)
C. sin 4y= 2( sin 2y) ( cos 2y)
D. sin 4y= 4 ( sin 2y) ( cos 2y)
E. sin 8y= 2 ( sin 4y) (cos 2y)

Answers

sin2x=2sinxcosx\n\nAnswer:C.\ sin4y=2sin2ycos2y\n\nbecause:\n\nsin4y=sin[2(2y)]=2sin2ycos2y