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2 years ago

Hello i need some help!

Mathematics

2 answers:

loris [4]2 years ago

8 0

3(2-b) can be rewritten as 3•2 - 3b

In the distributive property you are distributing the number outside the parentheses to the numbers inside.

murzikaleks [220]2 years ago

5 0

Answer:

3×2 + 3×-b

Step-by-step explanation:

$3(2-b)\\= 3\times 2 + 3\times (-b)\\\\= 6 -3b$

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BRAINLIEST IF CORRECT PLEASE USE WORK!

ladessa [460]

Answer:

To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

x-intercept: (− 45 , 0 )

y-intercept: ( 0 , − 15 )

7 0

2 years ago

Read 2 more answers

g A manufacturer is making cylindrical cans that hold 300 cm3. The dimensions of the can are not mandated, so to save manufactur

sdas [7]

Answer:

The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

Step-by-step explanation:

A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.

Recall that the volume for a cylinder is given by:

$\displaystyle V = \pi r^2h$

Substitute:

$\displaystyle (300) = \pi r^2 h$

Solve for <em>h: </em>

$\displaystyle \frac{300}{\pi r^2} = h$

Recall that the surface area of a cylinder is given by:

$\displaystyle A = 2\pi r^2 + 2\pi rh$

We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.

First, substitute for <em>h</em>.

$\displaystyle \begin{aligned} A &= 2\pi r^2 + 2\pi r\left(\frac{300}{\pi r^2}\right) \\ \\ &=2\pi r^2 + \frac{600}{ r} \end{aligned}$

Find its derivative:

$\displaystyle A' = 4\pi r - \frac{600}{r^2}$

Solve for its zero(s):

$\displaystyle \begin{aligned} (0) &= 4\pi r - \frac{600}{r^2} \\ \\ 4\pi r - \frac{600}{r^2} &= 0 \\ \\ 4\pi r^3 - 600 &= 0 \\ \\ \pi r^3 &= 150 \\ \\ r &= \sqrt[3]{\frac{150}{\pi}} \approx 3.628\text{ cm}\end{aligned}$

Hence, the radius that minimizes the surface area will be about 3.628 centimeters.

Then the height will be:

$\displaystyle \begin{aligned} h&= \frac{300}{\pi\left( \sqrt[3]{\dfrac{150}{\pi}}\right)^2} \\ \\ &= \frac{60}{\pi \sqrt[3]{\dfrac{180}{\pi^2}}}\approx 7.25 6\text{ cm} \end{aligned}$

In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.

7 0

2 years ago

What is the volume of the prism?

jeka57 [31]

The volume prism refers to the number of cubic units that will exactly fill the figure. The volume of a rectangular prism can be found or calculate by using the formula V=Bh, where B represents to the area of the base or in other words the length and width of the rectangle.

In this exercise is given that the measurements of a prism are 5/2ft, 3/2ft, and 7/2ft; and it is asked to find its volume. In order to find the volume of the prism, you should substitute the given values into the previous mention formula.

V=Bh
V=(5/2 ft)(7/2 ft)(3/2 ft)
V=(35/4 ft²)(3/2 ft)
V=105/8ft³ or $13 \frac{1}{8}$ ft³

The volume of the rectangular prism is $13 \frac{1}{8}$ ft³.

5 0

3 years ago

the least common multiple of two numbers is 84, and one of the numbers is 5 less than the other number. what are the numbers?

uysha [10]

X (x-5)=84
${ x}^{2} - 5x = 84 \\$
${x}^{2} - 5x - 84 = 0$
then you have to factor

7 0

2 years ago

Help!! plssssssssssssssssssssss

Brilliant_brown [7]

Answer:

1.D

2.E

3.A

4.G

5.C

6.F

7.B

Step-by-step explanation:

7 0

2 years ago