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2 years ago

What is 6.7 x 192 ÷ 0.051 ?

Mathematics

1 answer:

laiz [17]2 years ago

6 0

Answer: Reduce the expression, if possible, by cancelling the common factors

25223.52941176

Hoped this helped :)

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Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent

goblinko [34]

Answer:

$y(x)=x^2+5x$

Step-by-step explanation:

Given: $y'=\sqrt{4y+25}$

Initial value: y(1)=6

Let $y'=\dfrac{dy}{dx}$

$\dfrac{dy}{dx}=\sqrt{4y+25}$

Variable separable

$\dfrac{dy}{\sqrt{4y+25}}=dx$

Integrate both sides

$\int \dfrac{dy}{\sqrt{4y+25}}=\int dx$

$\sqrt{4y+25}=2x+C$

Initial condition, y(1)=6

$\sqrt{4\cdot 6+25}=2\cdot 1+C$

$C=5$

Put C into equation

Solution:

$\sqrt{4y+25}=2x+5$

$4y+25=(2x+5)^2$

$y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$

$y(x)=x^2+5x$

Hence, The solution is $y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}$ or $y(x)=x^2+5x$

4 0

3 years ago

A baby weighs 10 pounds at age 1, and four years latter the child's weight is 42 pounds. Assume that childhood weight W (in poun

Sergeu [11.5K]

In this problem, we have been given that there is a baby and the weight of the baby is £10 at birth and it is observed that after four years. That means when time is four years, the weight of the baby, That is observed to be 40 lb. And here, considering the weight of the baby to be increasing linearly with respect to the time. In years, we have to express this weight in terms of. So as we are given that the weight is a linear function of time teeth. So in that case this is the way by which we say that y is a linear function of X. And instead of X, let's put T here. And instead of white, let's put W to indicate that weight is a linear function of time. And as we are given that at birth, that is a physical 20 years. The way it is £10. So we substitute T. S. Zero and ws £10 in this equation. So we're going to get 10 equals zero times A. That's zero plus be solving this, we're gonna get Bs 10 and putting this value of weight as 40 lb and the time has four years as well In the same equation, we're going to get 40 equals four A plus B. And we already have determined B. Let's put that here and solving this, we're going to get the value of a coming out to be seven point fight. And now let's put the values of A. And B back into this equation of W. So we get ws eight times t. That's 7.5 times T Plus B. That's 10. So this is the expression, in fact, we can say this is the linear expression for W with respect to time.

6 0

2 years ago

Read 2 more answers

I need help with #1 & 2 asappp i’ll be giving brainliest!!!

Step2247 [10]

Answer:

1.90 2.6

Step-by-step explanation:

7 0

3 years ago

Need help ASAP!!!!!!!

ELEN [110]

Answer:

4) 90-37 = 53°

5) Supplementary

6) 90-62 = 28°

7 0

3 years ago

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A bag contains white, blue and red ping-pong balls in the ratio 8 : 3 : 2. There are 10 balls. If 10 white and 10 blue balls are

bezimeni [28]

Answer:

the new ratio of white, red and blue balls is 6:2:1

Step-by-step explanation:

The computation of the new ratio is shown below:

If you have 10 red balls, so the blue balls is in proportion of 3:2 that means 15 would be the blue balls. In addition to this, the while balls is in proportion 8:2 = 4:1 so there is a 40 white balls

Now if 10 white and 10 blue balls would be eliminated

So there is 30 white, 10 red, 5 blue bals

Also

30 = 5 × 6

And,

10 = 5 × 2

so the new ratio of white, red and blue balls is 6:2:1

3 0

3 years ago