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mamaluj [8]
2 years ago
15

Consider this expression. -4x to the second power 2x - 5 (1 + x) What expression is equivalent to the given expression? blank x

to the second power + blank x + bank
Mathematics
1 answer:
iren [92.7K]2 years ago
6 0

Answer:

what is the blank for

Step-by-step explanation:

sorry I mean bank

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The figure shown below is composed of a semicircle and a non-overlapping equilateral triangle and contains a hole that is also c
Sloan [31]

Check the picture below.

since we know the radius of the larger semicircle is 8, thus its diameter is 16, which is the length of one side of the equilateral triangle.  We also know the smaller semicircle has a radius of 1/3, and thus a diameter of 2/3, namely the lenght of one side of the small equilateral triangle.

now, if we just can get the area of the larger figure and the area of the smaller one and subtract the smaller from the larger, we'll be in effect making a hole/gap in the larger and what's leftover is the shaded figure.

\bf \stackrel{\textit{area of a semi-circle}}{A=\cfrac{1}{2}\pi r^2\qquad r=radius}~\hspace{10em}\stackrel{\textit{area of an equilateral triangle}}{A=\cfrac{s^2\sqrt{3}}{4}\qquad s=\stackrel{side's}{length}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\left[ \stackrel{\textit{larger figure}}{\cfrac{1}{2}\pi 8^2~~+~~\cfrac{16^2\sqrt{3}}{4}} \right]\qquad -\qquad \left[ \cfrac{1}{2}\pi \left( \cfrac{1}{3} \right)^2 +\cfrac{\left( \frac{2}{3} \right)^2\sqrt{3}}{4}\right]}

\bf \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\frac{4}{9}\sqrt{3}}{4} \right] \\\\\\ \left[ 32\pi +64\sqrt{3} \right]\qquad -\qquad \left[ \cfrac{\pi }{18}+\cfrac{\sqrt{3}}{9} \right]~~\approx~~ 211.38 - 0.37~~\approx~~ 211.01

3 0
3 years ago
A light bulb consumes 1440 watt hours per day. How many watt hours does it consume in 5 days and 18 hours
Maurinko [17]

Answer:

8,280 watt hours

Step-by-step explanation:

1440/24 = 60 watt hours per hour

5*24=120 hours in 5 days

120+18=138

138*60=8,280 watt hours

4 0
3 years ago
List the domain and range if the relation {(0,2),(4,3),(5,5),(4,7)}
lyudmila [28]
(x,y)

domain is inputs (normally x or first number)
range is outputs from the given domain (normally y or second number)

domain is just all the first numbers
range is all the second numbers
ignore repeats


domain: {0,4,5}
range: {2,3,5,7}
5 0
3 years ago
Read 2 more answers
Two intelligent, honest students are sitting together at lunch one day when their math teacher hands them each a card. “your car
Lady bird [3.3K]
Answer: The loser's card shows 6.

Explanation: Let's start by naming the first student A and the second student B.
Since the product of A and B are either 12, 15, or 18, let's list every single possibility, the first number being A's number and the second number being B's number.

1     12
1     15
1     18
2     6
2     9
3     4
3     5
3     6
4     3
5     3
6     2
6     3
9     2
12  1
15  1
18  1

Now, the information says that A doesn't know what B has, so we can immediately cross off all of the combinations that have the integer appearing once and once ONLY off, because if it happened once only, A would know of it straight away. Now, our sample space becomes much smaller.

1     12
1     15
1     18
2     6
2     9
3     4
3     5
3     6
6     2
6     3

Using this same logic, we know that we can cross off all of the digits that occur only once in B's column.

2     6
3     6

Now, A definitely knows what number B has because there is only one number left in B. Hence, we can conclude that the loser, B, has the integer 6.
4 0
3 years ago
If the perimeter of the top of desk is 54 inches the length of the desk is
allsm [11]
Formula: 2width+2length=perimeter


length=15inches

width=?

Perimeter=54inches

2*15=30 (There are two sides for the length)

54-30=24

24/2=12 (There are two sides for the width)

The width of the desk is 15 inches

----
-Geekhawk 

4 0
3 years ago
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