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2 years ago

(2 − 3)(1 − ) − (3 − )(3 + )

Mathematics

1 answer:

Lostsunrise [7]2 years ago

4 0

Answer:

your equation is wrong!! the answer is $10$

Step-by-step explanation:

the correct order of the equation is:

$(2-3)(-1)-(-3)(3)$

first, solve in the parentheses from left to right:

$(2-3)(-1)-(-3)(3)=\\(-1)(-1)-(-3)(3)=\\1-(-3)(3)=\\$

If we have 2 negative signs then we will change them to positive :

$1-(-3)(3)=\\1+3(3)\\$

now we have an equation with parentheses, we will multiply $3(3)\\$ because the parentheses go first.

$1+3(3)=\\1+9=10$

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I need help please and thanks

dimulka [17.4K]

Answer:

Step-by-step explanation:

n is the number of selections and k the number selected, that is

n = 5 and k = 2

note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1, thus

$\frac{5(4)(3)(2)(1)}{2!(5-2)!}$

= $\frac{120}{2(1)3(2)(1)}$

= $\frac{120}{2(6)}$

= $\frac{120}{12}$

= 10

5 0

3 years ago

Hello , how to do 6(iii)?

Doss [256]

Answer:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}$

Step-by-step explanation:

Water is being pumped into an inflated rubber sphere at a constant rate of 0.03 cubic meters per second.

So, dV/dt = 0.03.

We want to show that dS/dt is directly proportional to 1/r.

In other words, we want to establish the relationship that dS/dt = k(1/r), where k is some constant.

First, the volume of a sphere V is given by:

$\displaystyle V=\frac{4}{3}\pi r^3$

Therefore:

$\displaystyle \frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

Next, the surface area of a sphere S is given by:

$\displaystyle S=4\pi r^2$

Therefore:

$\displaystyle \frac{dS}{dt}=8\pi r\frac{dr}{dt}$

We can divide both sides by 2:

$\displaystyle \frac{1}{2}\frac{dS}{dt}=4\pi r\frac{dr}{dt}$

We can substitute this into dV/dt. Rewriting:

$\displaystyle \frac{dV}{dt}=r\Big(4\pi r\frac{dr}{dt}\Big)$

So:

$\displaystyle \frac{dV}{dt}=\frac{1}{2}r\frac{dS}{dt}$

Since dV/dt = 0.03 or 3/100:

$\displaystyle \frac{3}{100}=\frac{1}{2}r\frac{dS}{dt}$

Therefore:

$\displaystyle \frac{dS}{dt}=\frac{3}{50r}=\frac{3}{50}\Big(\frac{1}{r}\Big)$

Where k = 3/50.

And we have shown that dS/dt is directly proportional to 1/r.

4 0

3 years ago

Describe the transformation from the parent function y=(x+4)^2-1

Degger [83]

Answer:

Translation 4 units to the left., followed by

a translation 1 unit down.

Step-by-step explanation:

The parent function is y = x^2 which is a parabola that opens upwards and has a vertex at the point (0,0).

Y = (x + 4)^2 is the graph of x^2 translated 4 units to the left.

The - 1 translates the graph down 1 unit.

So the vertex of the new graph is at (-4, 1).

3 0

3 years ago

0.955 rounded to the nearest 10th of and inch

TiliK225 [7]

The answer to this is .960

3 0

3 years ago

Read 2 more answers

What is 1.024242424 as a fraction

Oxana [17]

It should be 42/41 is the closest

5 0

3 years ago