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3 years ago

I need help with easy math please

Mathematics

1 answer:

Ivahew [28]3 years ago

7 0

Answer:

1. 16

2. 12

3. 0

4. 17

5. 16

6. 4

7. 32

8. 36

9. 1/18

Step-by-step explanation:

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Scientists found that a certain particle of dust doubles every 30 minutes. If the scientists tests this out with 21 grams of the

monitta

Answer: $1.663\times 10^{30}\ gm$

Step-by-step explanation:

Given

Population of dust particle doubles every 30 minutes

If the initial sample is 21 grams

The model to predict the population will be

$\Rightarrow P=21\cdot 2^{2t}$

Where t=time in hours

A day has 24 hours . So, for 2 days time is 48 hours

Population is given by

$\Rightarrow P=21\cdot 2^{2\times 48}\\\\\Rightarrow P=21\times 2^{96}\\\\\Rightarrow P=1.663\times 10^{30}\ gm$

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3 years ago

The area of the rectangle shown below is 6x2+11x-7 square units. the length is 2x-1 what is the width

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Answer:

Width is 3x+7 units

Step-by-step explanation:

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3 years ago

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What is the slope of points (4,9) (-8,-6)?

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Answer:

5/4

Step-by-step explanation:

(y₂ - y₁) / (x₂ - x₁)

(4,9) (-8, -6)

plug in

(-6 - 9) / (-8 - 4)

solve within parentheses

-15/-12

simplify

5/4

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Juan can download new songs for $1.29 each. Write an equation to show how many songs he can download for $10.00.

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Each downloaded song costs $1.19. ... Join now. 1 ... Write and solve an inequality to determine how many songs ... This means he can spend less than $10 or exactly $10;

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Write an equation in slope intercept form for the line that passes through (-1, -2) and (3, 4)

LenaWriter [7]

Answer:

The slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the points

(-1, -2)

(3, 4)

Determining the slope between (-1, -2) and (3, 4)

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:-2\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)$

$m=\frac{4-\left(-2\right)}{3-\left(-1\right)}$

$m=\frac{3}{2}$

Thus, the slope of the line is:

m = 3/2

substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation

y = mx+b

$4=\frac{3}{2}\left(3\right)+b$

switch sides

$\frac{3}{2}\left(3\right)+b=4$

$\frac{9}{2}+b=4$

subtract 9/2 from both sides

$\frac{9}{2}+b-\frac{9}{2}=4-\frac{9}{2}$

$b=-\frac{1}{2}$

now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation

$y = mx+b$

$y=\:\frac{3}{2}x\:+\:\left(-\frac{1}{2}\right)$

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

Therefore, the slope-intercept form of the line equation is:

$y=\:\frac{3}{2}x\:-\frac{1}{2}$

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3 years ago