How do you work out this?

Mathematics

1 answer:

s344n2d4d5 [400]4 years ago

7 0

$H=kc^3\\\\40=k\cdot 2^3\\8k=40\\k=\dfrac{40}{8}=5\\\\H=5c^3$

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A bakery can make 230 bagels in 2 hours. How many bagels can they bake in 16 hours ? What’s the rate per hour ?

Morgarella [4.7K]

1840 bagels in 16 hours with a rate of 115 bagels an hour.

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3 years ago

Is (2, 5) a solution to this system of inequalities?<br><br> 4x + 2y > 18<br> 13x + y ≤ 7

Alborosie

Answer: 4x + 2y > 18 (not sure though)

Step-by-step explanation:

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3 years ago

⚠️15 points⚠️

tatyana61 [14]

Answer:

Step-by-step explanation:

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Read 2 more answers

Find the volume of the ellipsoid x2+y2+4z2=100x2+y2+4z2=100.

kondor19780726 [428]

Given the ellipsoid $x^2+y^2+4z^2=100$

For the radius in the x-dirextion, y = z = 0, and we have

$x^2=100 \\ \\ \Rightarrow x=\pm10$

For the radius in the y-dirextion, x = z = 0, and we have

$y^2=100 \\ \\ \Rightarrow y=\pm10$

For the radius in the z-dirextion, x = y = 0, and we have

$4z^2=100 \\ \\ \Rightarrow z^2=25 \\ \\ \Rightarrow z=\pm5$

Thus, the radius of the ellipsoid is given by

$Volume=4\pi r^3=4\pi\times10\times10\times5=500\pi$

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3 years ago

Solve for x. enter your answer in interval notation using grouping symbols. x^2+15x<-36

Oliga [24]

X²+15x+36<0

at first solve quadratic equation

D=b²-4ac= 225-4*1*36= 81

x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3

we can write x²+15x+36<0 as (x+12)(x+3)<0

(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set

or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality

3 0

4 years ago