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3 years ago

which of the following equations represents a linear function? A. y=3X^2 B. Y=2- 6/x C. y= x +6 D.y=1/2x+3

Mathematics

1 answer:

grigory [225]3 years ago

4 0

<span> C. y= x +6 is the linear equation</span>

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If $1500 is invested at an interest rate of 4.75% per year, compounded quarterly, find the value of the investment after the giv

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After n years the amount = 1500(1 + (0.0475/4)^4n

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3 years ago

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3 years ago

Bacteria usually reproduce by a process called binary fission. In this type of reproduction, one bacterium divides to

Fed [463]

Answer:

$\large \boxed{\text{0.0462 min}^{-1}}$

Step-by-step explanation:

One formula for the reproduction of bacteria is

$\dfrac{N}{N_{0}} = e^{kt}$

Data:

N = 2

N₀ = 1

t = 15 min

Calculation:

$\begin{array}{rcl}\dfrac{N}{N_{0}}& =& e^{kt}\\\\\dfrac{2}{1}& = & e^{k\times15 \text{ min}}\\\\2 & = & e^{15k \text{ min}}\\\ln 2 & = & 15k \text{ min}\\k & = & \dfrac{\ln2 }{\text{15 min}}\\\\& = & \textbf{0.0462 min}^{\mathbf{-1}}\\\\\end{array}\\\text{The value of the constant k is $\large \boxed{\textbf{0.0462 min }^{\mathbf{-1}}}$}$

6 0

3 years ago

The oblique prism below has an isosceles right triangle base. An oblique right triangular prism is shown. The triangular bases h

balandron [24]

The volume of the geometry that is oblique prism is $\rm 0.5x^3 + x^2$ . Then the correct option is A.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Given

The oblique prism below has an isosceles right triangle base.

The triangular bases have 2 sides with a length of x.

The distance from the 2 triangular bases is (x + 3).

The vertical height of the prism is (x + 2).

The volume of the oblique prism will be

$\rm Volume = Area\ of \ triangle * Vertical\ Height \\\\Volume = \dfrac{1}{2} (Base)^2 * Vertical \ Hetght\\\\Volume = \dfrac{1}{2} x^2 (x + 2)\\\\Volume = \dfrac{1}{2} x^3 + x^{2} \\\\$

The volume of the oblique prism is $\rm 0.5x^3 + x^2$ .

Thus, option A is correct.

More about the geometry link is given below.

brainly.com/question/7558603

7 0

2 years ago

ect the best answer for the question. 3. Rewrite the equation x + y + 3 = –2x + 4y + 18 into standard form (ax + by = c). A. 3x

trapecia [35]

Answer:

Step-by-step explanation:

To rewrite the equation x + y + 3 = -2x + 4y + 18, first combine like terms.

x + y + 3 = -2x + 4y + 18

3x - 3y + 3 = 18

3x - 3y = 15

This is the standard form.

It can also be simplified by dividing each term by 3 to x - y = 5.

5 0

3 years ago