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2 years ago

Look at the graph below. what is the slope of the line a. -3 b.-1/3 c.1/3 d. 3

Mathematics

1 answer:

JulijaS [17]2 years ago

6 0

Answer:

-1/3

Step-by-step explanation:

Slope is rise over run. Every 3 units to the left, it rises 1 unit, so the slope is -1/3.

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This is a Differential Equations problem, I only need help on part 1 from question five. I need steps as well, thank you.

jolli1 [7]

Answer:

a) $y(t) = \sqrt{2t + 1 }$

b) 1.5 hours after thickness will be 2 inches.

Step-by-step explanation:

$\frac{dy}{dt} = \frac{1}{y} \\ \\ ydy = dt \\ \\ integrating \: both \: sides \\ \\ \int y \: dy = \int 1 \: dt \\ \\ \frac{ {y}^{2} }{2} = t + c \\ \\ {y}^{2} = 2t + 2c \\ \\ y (t)= \sqrt{2t + 2c} ...(1) \\ \\ a) \: \: \: plug \: t = 0 \: in \: (1) \\ \\ y (0)= \sqrt{2(0) +2 c} \\ \\ y (0)= \sqrt{0 +2 c} \\ \\ 1 = \sqrt{2c} \: \: ( \because \: y (0)=1) \\ \\ 2c = 1 \: \implies \: c = \frac{1}{2} \\ \\ plug \: c = \frac{1}{2} \: in \: (1) \\ \\ y(t) = \sqrt{2t + 2 \times \frac{1}{2} } \\ \\ \huge \: \red {y(t) = \sqrt{2t + 1 } } \\ \\b) \: \: plug \: y(t) = 2 \: in \: above \: equation \\ \\ 2 = \sqrt{2t + 1} \\ \\ 4 = 2t + 1 \: \\ (squaring \: both \: sides) \\ \\ 4 - 1 = 2t \\ \\ 2t = 3 \\ \\ t = \frac{3}{2} \\ \\ t = 1.5 \: hours \\$

6 0

2 years ago

Which of these items is a tax deduction?

Flura [38]

I'll just provide you some tax deductions.
1) sales tax.
2) state tax
3) health insurance premiums *subject to limitations
4) tax savings for teachers *up to $250 for materials
5) charitable gifts
6) lifetime learning
7) unusual business expense
8) looking for job at the same field *cost incurred during job hunting can be deductible but still subject to limitation
9) self-employed social security

7 0

3 years ago

. Samantha is three times as old as Jason. The sum<br> of their ages is 56 years. How old is each?

8_murik_8 [283]

Step-by-step explanation:

let age of samantha be 3x and age of jason be x.(since samantha is three times as old as jason)

Now,

3x+x=56 (sum of their ages is 56)

or 4x=56

or x=56/4

or x=14

therefore age of samantha=3x=3×14=42

age of jason = x = 14

4 0

3 years ago

Math III WSD CRC QT 1.25 CR

Semenov [28]

Answer:

5ff5yvy hh h

Step-by-step explanation:

ctvtvh j h h h j

8 0

3 years ago

Determine whether y^2=x^2- 3 is a function ?

Sav [38]

It is not . There are multiple x values for the y values.

8 0

3 years ago