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nydimaria [60]
3 years ago
7

- Write an expression to represent the phrase: 4 less than b

Mathematics
1 answer:
katrin [286]3 years ago
4 0
Y=b-4.. hope this helps
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Which of the following statements best describes the effect of replacing the graph of f(x) with the graph of f(x) − 5? (1 point)
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The entire graph is transformed 5 units down
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4 years ago
An aquarium with a square base has no top. There is a metal frame. Glass costs 8 dollars/m^2 and the frame costs 7 dollars/m. Th
Irina-Kira [14]
Given that the volume of the aquarium is 20m^3.

Volume = Area of Base x height

Area of Base = Volume / height = 20/h

Given that the aquarium has a square base.

Area of square = l^2

Thus, the length of the base of the aquarium is \sqrt{area \ of \ base} = \sqrt{ \frac{20}{h} }

The frame is to cover 8 sides with the length equal to the length of the base and 4 sides with the length of the height.

Thus, the total perimeter of the frame is given by 8\sqrt{\frac{20}{h}}+4h= \sqrt{64\left(\frac{20}{h}\right)}+4h = \sqrt{\frac{1,280}{h}}+4h

Area of the four side faces of the aquarium is 4 times the length of the base times the height = 4\times\sqrt{ \frac{20}{h} }\times h=\sqrt{16\left(\frac{20}{h}\right)h^2}=\sqrt{320h}

Total area to be covered by grass is the base and the four side faces and is given by \frac{20}{h}+\sqrt{320h}

Cost of the entire metal frame = 7\left(\sqrt{\frac{1,280}{h}}+4h\right)= \sqrt{49\left(\frac{1,280}{h}\right)}+7(4h) = \sqrt{\frac{62,720}{h}}+28h

Cost of the entire grass = 8\left(\frac{20}{h}+\sqrt{320h}\right)=\frac{160}{h}+\sqrt{64(320h)}=\frac{160}{h}+\sqrt{20,480h

Therefore, total cost in terms of the height, h, is given by

C=\sqrt{\frac{62,720}{h}}+28h+\frac{160}{h}+\sqrt{20,480h
3 0
4 years ago
Find the value of the circumference of a circle with the given diameter.
lys-0071 [83]
C= 2πr, and 2r = D (diameter). So, you can also use this equation: C =D<span>π
Since we know the diameter, and we know the value of </span><span>π, we can easily calculate the value of circumference. 
C = D</span><span>π
C = 3.21</span><span>π 
</span><span>This means that the correct answer is B. 3.21 pi</span>
7 0
3 years ago
Write an equation that has a slope of ½ and a y-intercept of -6.
soldier1979 [14.2K]

Answer: y=1/2x-6

Step-by-step explanation:

4 0
3 years ago
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What angle is included by AC and BC?
ella [17]

Answer:

C

Step-by-step explanation:

Both segments AC and BC intersect at point C. Hence, the angle included by them will be angle C.

8 0
2 years ago
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