All categories

3 years ago

Help asap plspls !! :)

Mathematics

1 answer:

Lapatulllka [165]3 years ago

5 0

Answer:

$f = -15$

Step-by-step explanation:

Given:

$\frac{f}{3} + 22 = 17$

Required:

Find the value of f

Solution:

$\frac{f}{3} + 22 = 17$

Subtract 22 on both sides

$\frac{f}{3} + 22 - 22 = 17 - 22$

$\frac{f}{3} = -5$

Multiply by 3 on both sides

$3(\frac{f}{3}) = 3(-5)$

$f = -15$

You might be interested in

Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.

Anestetic [448]

Answer:

Step-by-step explanation:

Let the rectangle have (x,y,z) as vertex in positive octant. The rectangular box has to be necessarily symmetrical about all the three axes.

Then the sides of the box would be

$2x,2y,2z$

Volume = $8xyz$

Maximize volume subject to

$x^2+y^2+z^2 =1$

i.e. $g(x,y,z) = x^2+y^2+z^2 -1=0$

Use Lagrangian multipliers , we have

$∇f(x,y,z)=λ∇g(x,y,z)$ at the maximum

$∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)$

$8yz=2λx8xz=2λy8xy=2λz$

Dividing we get

$\frac{y}{x} =\frac{x}{y} \\x^2=y^2$

Similarly $y^2=z^2$

Thus we get $3x^2 =1\\x = \frac{1}{\sqrt{3} }$

Hence dimensions are

(2x,2y,2z)

So dimensions are

$\frac{2}{\sqrt{3} } ,\frac{2}{\sqrt{3} } ,\frac{2}{\sqrt{3} } )$

3 0

3 years ago

Tamara purchased 31 cases of tile to use on her bathroom floors .she used 17 cases in her upstairs bathroom and the rest in her

Oliga [24]

17?

Step-by-step explanation:

since she used 17 tiles in the upstairs bathroom, therefore there are 17 tile in the upstairs bathroom

4 0

2 years ago

Please explain the steps on how to solve it! (Answer is selected)

LenKa [72]

Answer:

5x - 2y = -10 (B.) This should be right so if its not let me know I am stumped on what else it would be

Step-by-step explanation:

Parallelism: Same slope but different y-intercept

1 - Get into slope formula

5x - 2y = 7

-2y = -5x + 7

-2y/-2 = -5x/-2 +7/-2

y = (5/2)x - 7/2

2 - Plug x and y from (0, 5) into y = mx + b however note the - 7/2 is extranneous and wont be used for b

y = (5/2)x + b

5 = (5/2)0 + b

5 = 0 + b

5 = b

Therefore

y = 5/2x + 5 is your slope formula.

Now to get x to the other side.

3 - Get it back to standard form.

y = 5/2x + 5

- 5/2x -5/2x

- 5/2x + y = 5

(Multiply 2 into everything to get rid of the fraction)

-5x + 2y = 10

3 0

3 years ago

Solve the equations in two different ways:6p=0.6(5p+15)

Damm [24]

Answer:

Step-by-step explanation:

1st way:

Solve directly

6p=0.6(5p+15)

Open bracket

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

2nd way:

6p=0.6(5p+15)

Convert the decimal to fraction

6p= 6/10(5p+15)

6p= 3/5(5p+15)

6p= 3/5(5p) +3/5(15)

6p = 3p + 9

Collecting like terms

6p - 3p = 9

3p = 9

Dividing by 3

p = 9/3

p = 3

6 0

4 years ago

I need help with this

STALIN [3.7K]

the answer to the problem is150

4 0

4 years ago