What is the sum of 4 radical 2 and 5 radical 6 in simplest form?

How can you represent patterns from everyday life by using tables, expressions, and graphs?

AlladinOne [14]

Answer:

"They organize data and can reveal relationships, making it easier to write equations that describe the patterns."

Step-by-step explanation:

5 0

2 years ago

What does a proportion look like?

AURORKA [14]

A proportion looks like this:

$a\div b = c\div d$

It means that the quantity a,b,c and d are in the same proportion: the ratio between a and b is the same ratio between c and d.

They are particularly useful in situation when you have an example given, and you want to extrapolate the relationship for another couple.

For example, you can think of the following problem: "Five apples cost 2 dollars. How much will 8 apples cost?"

You can build the proportion

$5\div 2 = 8\div x$

And then solve it for x:

$\dfrac{5}{2}=\dfrac{8}{x} \iff 5x=16 \iff x = \dfrac{16}{5} = 3.2$

6 0

2 years ago

The student council is hosting a drawing to raise money for scholarships. They are selling tickets for $9 each and will sell 500

ryzh [129]

Answer:

-$2.32

Step-by-step explanation:

Give that

The selling price per ticket is $9

And the number of tickets sold is 500

So,

There is one grand prize, three $300 second prize, and eleven $40 third prizes

We need to find out the expected value of the profit

$= \frac{1}{500} \times 2000 + \frac{3}{500} \times 300 + \frac{11}{500} \times 40\\\\$

= 4 + 1.8 + 0.88

= 6.68

Now the expected profit is

= $6.68 - $9

= -$2.32

6 0

2 years ago

Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts

shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

(c) y = -1/ln|0.09(t + 1)²/t|

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(c) (t² + t) dy/dt + y² = ty², y(1) = -1

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0

3 years ago

Can you please help me l will give brainliest

yKpoI14uk [10]

Answer:

question 1 and 3

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers