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3 years ago

Change the following equation to slope, intercept form 3x-y=5. show your work

Mathematics

2 answers:

Semmy [17]3 years ago

7 0

^^^^ what he/she did seem ably right!

Paladinen [302]3 years ago

6 0

Answer:

y = -3x -5

Step-by-step explanation:

First subtract 3x from both sides

-y = 3x + 5

Then divide the - (1) from both sides

y = -3x - 5

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It is widely reported that high school students spend an average of 7 hours per week working on homework. Miss Bonnar, a high sc

yulyashka [42]

Answer:

B. The probability of obtaining a result at least as extreme as the one observed, if the null hypothesis is true, is 0.01.

Step-by-step explanation:

The answer choice B is in fact the definition of p-value.

8 0

2 years ago

A kid's pool is cylindrical and has a radius of 5 feet and a height of 2 feet. If a cubic foot holds about 7.48 gallons of water

ikadub [295]

Answer:

1,174.958 gallons

Step-by-step explanation:

Begin by finding the volume of the cylinder V= π x r² x h

V = 3.14 x 25 x 2 = 157.08

Then multiply 7.48 gallons per cubic foot

7.48 x 157.08 = 1,174.958 gallons

4 0

3 years ago

Find the product -a2 b2 c2 (a+b-c)

mina [271]

Use the distributive property:
$a(c+b)=ab+ac$
And
$a^n\cdot a^m=a^{n+m}\\\\a=a^1$

$-a^2b^2c^2(a+b-c)=-a^2ab^2c^2-a^2b^2bc^2+a^2b^2c^2c=-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3$

7 0

2 years ago

A cylinder shaped can needs to be constructed to hold 500 cubic centimeters of soup. The material for the sides of the can costs

iogann1982 [59]

Answer:

r=3.628cm

h=12.093cm

Step-by-step explanation:

For this problem we are going to use principles, concepts and calculations from multivariable calculus; mainly we are going to use the Lagrange multipliers method. This method is thought to help us to find a extreme value of a multivariable function 'F' given a restriction 'G'. F represents the function that we want to optimize and G is just a relation between the variables of which F depends. The Lagrange method for just one restriction is:

$\nabla F=\lambda \nabla G$

First, let's build the function that we want to optimize, that is the cost. The cost is a function that must sum the cost of the sides material and the cost of the top and bottom material. The cost of the sides material is the unitary cost (0.03) multiplied by the sides area, which is $A_s=2\pi rh$ for a cylinder; while the cost of the top and bottom material is the unitary cost (0.05) multiplied by the area of this faces, which is $A_{TyB}=2\pi r^2$ for a cylinder.

So, the cost function 'C' is:

$C=2\pi rh*0.03+2\pi r^2*0.05\\C=0.06\pi rh+0.1\pi r^2$

The restriction is the volume, which has to be of 500 cubic centimeters:

$V=500=\pi r^2h\\500=\pi hr^2$

So, let's apply the Lagrange multiplier method:

$\nabla C=\lambda \nabla V\\\frac{\partial C}{\partial r}=0.06\pi h+0.2\pi r\\\frac{\partial C}{\partial h}=0.06\pi r\\\frac{\partial V}{\partial r}=2\pi rh\\\frac{\partial V}{\partial h}=\pi r^2\\(0.06\pi h+0.2\pi r,0.06\pi r)=\lambda (2\pi rh,\pi r^2)$

At this point we have a three variable (h,r, λ)-three equation system, which solution will be the optimum point for the cost (the minimum). Let's write the system:

$0.06\pi h+0.2\pi r=2\lambda \pi rh\\0.06\pi r=\lambda \pi r^2\\500=\pi hr^2$