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ra1l [238]
2 years ago
13

Simplify the following expression . Give a single numerical value as your answer ( don't forget to include a negative sign if ap

plicable ) . - 105 - (- 68)
Mathematics
1 answer:
faust18 [17]2 years ago
5 0
-105-(-68) = -105+68 = 68- 105 = -37
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39 ft/min is how many yd/s
Arlecino [84]
0.0181 yd/s. To solve this problem you use dimensional analysis. You convert the feet and minutes to yards and seconds by using this process. The units of feet and minutes cancel out, so you are left with yards per second. You should get 0.0180555555 when you multiply and divide everything, but you can just round it to 0.0181 or whatever place your teacher wants.

4 0
3 years ago
Read 2 more answers
Find the area of this parallelogram
eduard
Area is base x height
4x2=8 cm
3 0
3 years ago
The value of y varies directly with x, and y=10 when x=4. Find x when y=14.
damaskus [11]
y=10\ \ \ and\ \ \ x=4\\\\
y=14\ \ \ and\ \ \ x=?\\\\
Making\ ratio:\\
10-4\\14-x\\\\
Cross\ multiplication:\\
10x=4*14\\
10x=56\ \ \ |Divide\ by\ 10\\x=5,6\\\\solution\ is\ x=5,6.
5 0
3 years ago
Find the​ mean, median, and mode of the​ data, if possible. If any of these measures cannot be found or a measure does not repre
Ber [7]

Answer:

The mean cholesterol levels

= 173873.7

Step-by-step explanation:

For The mean

The mean is going to be sum of the numbers divide by the number

Mean = (130130 +145145+ 215215 +170170+ 165165 +225225+ 240240 +185185+ 130130 +132132 )/10

Mean =1738737/10

= 173873.7

For Median

Wee arrange ascending order

130130, 130130, 132132, 145145, 165165, 170170, 185185, 215215, 225225, 240240

Median = (165165+170170)/2

Median = 335335/2

Median = 167667.5

Mode = 130130

4 0
4 years ago
an open rectangular cardboard box with a square base is to have a volume of 256cm^3. Find the dimensions of the box if the area
Anit [1.1K]
Let
x------> the length side of the square base of the box
y-------> the height of the box

we know that
volume of the box=b²*h
b=x
h=y
volume=256 cm³
so
256=x²*y------>y=256/x²-------->  equation 1

<span>The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area.</span>

surface area of the cardboard=area of the base+perimeter of base*height
area of the base=x²
perimeter of the base=4*x
height=y
surface area=x²+4x*y-----> equation 2
substitute equation 1 in equation 2
SA=x²+4x*[256/x²]-----> SA=x²+1024/x

step 1 
find the first derivative of SA and equate to zero
2x+1024*(-1)/x²=0------> 2x=1024/x²----> x³=512--------> x=8 cm
y=256/x²------> y=256/8²-----> y=4 cm

the answer is
the length side of the square base of the box is 8 cm
the height of the box is 4 cm

5 0
3 years ago
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