!! IMAGE ATTACHED & 30 POINTS !!

Explain why the negation of “Some students in my class use e-mail” is not “Some students in my class do not use e-mail”.

Olenka [21]

Answer with Step-by-step explanation:

Since we have given that

Some students in my class use e-mail.

It is a type of 'E' statements.

Its negation should be No students in my class use e-mail.

Because if we use "Some students in my class do not use e-mail”.

It also implies some students in my class still use e-mail.

But negation contains only opposite of given statement.

So, Some students in my class do not use e-mail” is not true.

6 0

3 years ago

Find d/dx(e^3ln(x)). a. e^3lnx b.e^3ln(x)/x c.3e^3lnx d.3x^2

kow [346]

Answer:

D. 3x²

General Formulas and Concepts:

Algebra II

If you raise e to the natural log, they cancel out and vice versa

Calculus

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$f(x)=e^{3lnx}$

Step 2: Rewrite

$f(x) = x^3$

Step 3: Take Derivative

Basic Power Rule: f'(x) = 3x³⁻¹
Simplify: f'(x) = 3x²

3 0

2 years ago

PROBLEM: Riley has a rectangular shaped patio that is 13 feet long by 15 feet wide. He wants to DOUBLE THE AREA of the patio by

photoshop1234 [79]

Answer:

1) The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

Step-by-step explanation:

1) From Geometry we remember that area formula for the rectangle is represented by:

$A = x\cdot y$ (1)

Where:

$A$ - Area, measured in square feet.

$x$ - Length, measured in feet.

$y$ - Width, measured in feet.

From statement we know that Riley wants to double the area, that is:

$A' = 2\cdot A$ (2)

By applying (1) in (2), we get the following expression:

$A' = 2\cdot x\cdot y$ (3)

Given that Riley wants to double the area of the pation by increasing the length and width by the same amount, we can rearrange (3) by algebraic means:

$A' = \sqrt{2}\cdot \sqrt{2}\cdot x\cdot y$

$A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ (3b)

The equation that represents the total area of Riley's proposed ratio is $A' = (\sqrt{2}\cdot x)\cdot (\sqrt{2}\cdot y)$ .

2) If we know that $x = 13\,ft$ and $y = 15\,ft$ , then the length and the width of the new patio are, respectively:

$x' = \sqrt{2}\cdot x$

$x' = \sqrt{2}\cdot (13\,ft)$

$x' \approx 18.4\,ft$

$y' = \sqrt{2}\cdot y$

$y' = \sqrt{2}\cdot (15\,ft)$

$y' \approx 21.2\,ft$

The length and width of the new patio are approximately 18.4 feet and 21.2 feet, respectively.

8 0

2 years ago

it costs $0.99 per pound for apples at Publix.(A)Write an equation to represent the price of apples.(B)Find how much it costs to

never [62]

Answer:

A. $0.99p

B. $0.99(8) = $7.92

Step-by-step explanation:

To show that you multiply the unit price by the amount, we can use the variable p. Now, this equation shows that you multiply the price per one pound by the amount of pounds.

If you want to find the cost of 8 pounds, you just put the 8 in place of the p to represent how many pounds. Now, you just need to multiply 0.99 x 8, which equals $7.92.

5 0

2 years ago

A gym charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym

Paha777 [63]

18 months bc 356-50=306/17=18

6 0

2 years ago