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3 years ago

Should 0 be on your number line? Explain.

Mathematics

2 answers:

artcher [175]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

That is where you start from. Before 1 is 0, so I would put 0 on your number line. Also, number lines have 0s on them. I don't think I ever saw a number line that doesn't have 0.

Hope I can help.

Vladimir [108]3 years ago

4 0

Yes it should, 0 is still a number even though it’s value is nothing. You can’t get to -1 without 0.

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Find the median of the data in the box plot below.

agasfer [191]

I believe it would be $6

3 0

3 years ago

Read 2 more answers

A certain country has $10 billion in paper currency in circulation, and each day $50 million comes into the country's banks. The

mash [69]

Answer:

$\bf x(t)=10(1-e^{-0.005*t})$

Step-by-step explanation:

The differential equation

$\bf \displaystyle\frac{dx}{dt}=0.005(10-x)$

can be solved by separation of variables. Write the equation as

$\bf \displaystyle\frac{dx}{10-x}=0.005dt$

Integrate on both sides

$\bf \int\displaystyle\frac{dx}{10-x}=\int0.005dt\Rightarrow -ln(10-x)=0.005t+C\Rightarrow\\\\\Rightarrow ln(10-x)^{-1}=0.005t+C\Rightarrow (10-x)^{-1}=e^{0.005t}e^C$

where C is a constant.

$\bf e^C$ is also a constant and we will keep calling it C, (there is no reason to change the letter). We have then

$\bf (10-x)^{-1}=Ce^{0.005t}\Rightarrow \displaystyle\frac{1}{10-x}=Ce^{0.005t}\Rightarrow 10-x=\displaystyle\frac{1}{Ce^{0.005t}}\Rightarrow\\\\\Rightarrow x(t)=10-(1/C)e{-0.005t}$

(1/C) is a constant, and for the same reason we will keep calling it C. So the general solution is

$\bf x(t)=10-Ce^{-0.005t}$

Now, we use the initial condition x(0)=0

$\bf x(0)=10-Ce^{-0.005*0}=0\Rightarrow C=10$

and the particular solution is

$\bf x(t)=10-10e^{-0.005*t}=10(1-e^{-0.005*t})\\\\\boxed{x(t)=10(1-e^{-0.005*t})}$

7 0

3 years ago

Find the missing value so that the line passing through the 2 points has the given slope.

Alik [6]

Answer:

y = 3

Step-by-step explanation:

Calculate the slope between the 2 points using the slope formula, then equate to - 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (12, - 12 ) and (x₂, y₂ ) = (7, y )

m = $\frac{y-(-12)}{7-12}$ = $\frac{y+12}{-5}$ = - 3 ( multiply both sides by - 5 )

y + 12 = 15 ( subtract 12 from both sides )

y = 3

8 0

3 years ago

What is the factored form of the polynomial? z2 − 10z + 25

Crank

Answer:

(z−5)(z−5)

Step-by-step explanation:

Let's factor z2−10z+25

z2−10z+25

The middle number is -10 and the last number is 25.

Factoring means we want something like

(z+_)(z+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -10

Multiply together to get 25

Can you think of the two numbers?

Try -5 and -5:

-5+-5 = -10

-5*-5 = 25

Fill in the blanks in

(z+_)(z+_)

with -5 and -5 to get...

(z-5)(z-5)

5 0

3 years ago

The Transitive Property of Congruence states that if ∠XYZ ≅ ∠AOB and ∠AOB ≅ ∠WYT, then _____.

solniwko [45]

In other terms, the Transitive Property states that if ∠a = ∠b and ∠b = ∠c, then ∠a = ∠c. So, if ∠XYZ = ∠AOB and ∠AOB = ∠WYT, then ∠XYZ = ∠WYT. The correct answer here would be B.

4 0

3 years ago