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3 years ago

How do I complete the tables?

Mathematics

1 answer:

Dimas [21]3 years ago

3 0

All you have to do is use the formula and where it says x just full in the number

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It takes nora two hours to paint a wall 5m by 8m, and zack three hours to paint a wall 4m by 9m. together, how long will it take

Zolol [24]

Nora's speed (5*8)m²/2h= 20 m²/h.
Zack's speed (4*9)m²/3h= 12 m²/h

Together for 1 h they paint (20+12) m²/h=32m²/h

Given area (10*12)m²=120 m²

120m² *1h/32m² = 3.75 h (3h 45 min) to paint 10m*12m together.

3 0

4 years ago

(10)/(4)<(z+8)/(2)<(22)/(4)

Lisa [10]

Answer:

-3 < z < 3

Step-by-step explanation:

×4

10 < 2z + 16 < 22. -16

-6 < 2z < 6. ÷2

-3 < z < 3

3 0

3 years ago

What is a scale factor of 2<br>

Veseljchak [2.6K]

Answer:

A scale factor of 2 could be in fact 4 because you can factor 2 twice to give you 4

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find the general solution of the following equation. Express the solution explicitly as a function of the independent variable.

Mashcka [7]

Answer:

Therefore the general solution is

$2 \sqrt w = 2 ln(x) - 5 \frac1x +c$

Step-by-step explanation:

Integration Rule:

$\int x^n dx= \frac{x^{n+1}}{n+1}+c$
$\int \frac1x dx= ln(x) +c$

Given differential equation is

$x^2 \frac{dw}{dx}= \sqrt{w}(2x+5)$

$\Rightarrow x^2 dw= \sqrt{w} (2x+5) dx$ [ multiplying dx both sides]

$\Rightarrow \frac{dw}{\sqrt w}= \frac{(2x+5)}{x^2} dx$ [ dividing $x^2\sqrt w$ both sides]

Integrating both sides

$\int \frac{dw}{\sqrt w}=\int \frac{(2x+5)}{x^2} dx$

$\Rightarrow \int w^{-\frac12} dw=\int (\frac{2x}{x^2}+\frac{5}{x^2} )dx$

$\Rightarrow \int w^{-\frac12} dw=\int \frac{2}{x}dx +\int\frac{5}{x^2} dx$

$\Rightarrow \frac{w^{-\frac12+1}}{-\frac12+1} =2ln x+5 \frac{x^{-2+1}}{-2+1}+c$ [ c is arbitrary constant]

$\Rightarrow 2 \sqrt w = 2 ln(x) - 5 \frac1x +c$

Therefore the general solution is

$2 \sqrt w = 2 ln(x) - 5 \frac1x +c$

6 0

3 years ago

Gina has a bag of marbles with 5 different colors. She randomly selects a marble from

Karo-lina-s [1.5K]

Answer:

$\frac{7}{20}$

Step-by-step explanation:

Red marbles = 33

Blue marbles = 72

Probability of selecting red or blue marbles:

$33 + 72 = 105 \\ \frac{105}{300} = \frac{7}{20}$

4 0

2 years ago