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3 years ago

Proportional relationship or not...

Mathematics

1 answer:

Firdavs [7]3 years ago

6 0

Y=25x is proportional. Unit rate is 25
The other 2 aren't because they have a y-intercept and don't cross the orgin

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What is the value of the x in this equation. 7x = 14

S_A_V [24]

Answer:

Step-by-step explanation:

7x=14

$\frac{7x}{7} = \frac{14}{7}$

x=2

hope it's helpful ❤❤❤

THANK YOU.

7 0

3 years ago

A cylindrical can without a top is made to contain 25 3 cm of liquid. What are the dimensions of the can that will minimize the

Basile [38]

Answer:

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

Step-by-step explanation:

Given that, the volume of cylindrical can with out top is 25 cm³.

Consider the height of the can be h and radius be r.

The volume of the can is V= $\pi r^2h$

According to the problem,

$\pi r^2 h=25$

$\Rightarrow h=\frac{25}{\pi r^2}$

The surface area of the base of the can is = $\pi r^2$

The metal for the bottom will cost $2.00 per cm²

The metal cost for the base is =$(2.00× $\pi r^2$ )

The lateral surface area of the can is = $2\pi rh$

The metal for the side will cost $1.25 per cm²

The metal cost for the base is =$(1.25× $2\pi rh$ )

$=\$2.5 \pi r h$

Total cost of metal is C= 2.00 $\pi r^2$ + $2.5 \pi r h$

Putting $h=\frac{25}{\pi r^2}$

$\therefore C=2\pi r^2+2.5 \pi r \times \frac{25}{\pi r^2}$

$\Rightarrow C=2\pi r^2+ \frac{62.5}{ r}$

Differentiating with respect to r

$C'=4\pi r- \frac{62.5}{ r^2}$

Again differentiating with respect to r

$C''=4\pi + \frac{125}{ r^3}$

To find the minimize cost, we set C'=0

$4\pi r- \frac{62.5}{ r^2}=0$

$\Rightarrow 4\pi r=\frac{62.5}{ r^2}$

$\Rightarrow r^3=\frac{62.5}{ 4\pi}$

⇒r=1.71

Now,

$\left C''\right|_{x=1.71}=4\pi +\frac{125}{1.71^3}>0$

When r=1.71 cm, the metal cost will be minimum.

Therefore,

$h=\frac{25}{\pi\times 1.71^2}$

⇒h=2.72 cm

Therefore the radius of the can is 1.71 cm and height of the can is 2.72 cm.

6 0

3 years ago

What the perimeter is ?

tigry1 [53]

Answer:

the perimeter is the total length of that plane figure

5 0

3 years ago

Help pls haha also Merry Christmas

MArishka [77]

Answer:

x = √39

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Identify

Leg a = x

Leg b = 5

Hypotenuse c = 8

Step 2: Solve for x

Substitute [PT]: x² + 5² = 8²
Isolate x term: x² = 8² - 5²
Exponents: x² = 64 - 25
Subtract: x² = 39
Isolate x: x = √39

3 0

3 years ago

Read 2 more answers

Wilson began watering his garden with a watering can that was completely full. The amount of water in the can as Wilson was wate

worty [1.4K]

Answer:

B. The amount of water originally in Wilson's can was 2.5 gallons.

7 0

3 years ago