Which line is the graph of y = -2 x + 2? line d line b line a line c

A seamstress is paid $9.55 for every pair of pants made. how many pants would have to be made to receive $525.00 a week?

Svetlanka [38]

Let the number of pants have to be made be x.

So,

9.55 * x = 525.00

x = $\frac{525}{9.55}$ ≈ 54.97

Thus, the number of pants have to be made are 54.

8 0

3 years ago

2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One

Stells [14]

$y'=(t+y)^2-1$

Substitute $u=t+y$ , so that $u'=y'$ , and

$u'=u^2-1$

which is separable as

$\dfrac{u'}{u^2-1}=1$

Integrate both sides with respect to $t$ . For the integral on the left, first split into partial fractions:

$\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1$

$\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt$

$\dfrac12(\ln|u-1|-\ln|u+1|)=t+C$

Solve for $u$ :

$\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C$

$\ln\left|1-\dfrac2{u+1}\right|=2t+C$

$1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}$

$\dfrac2{u+1}=1-Ce^{2t}$

$\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}$

$u=\dfrac2{1-Ce^{2t}}-1$

Replace $u$ and solve for $y$ :

$t+y=\dfrac2{1-Ce^{2t}}-1$

$y=\dfrac2{1-Ce^{2t}}-1-t$

Now use the given initial condition to solve for $C$ :

$y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}$

so that the particular solution is

$y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}$

3 0

2 years ago

Find the circumference of this circle c,d,a,g,be

zheka24 [161]

A,G,B

IDK I think thats it

4 0

2 years ago

The sum of 3 consecutive odd numbers is 177. What is the value of the smallest number in the sequence

riadik2000 [5.3K]

Ok this is a very question that can solved very easily. So we know that there three numbers, and they are consecutive, this means that they are all one bigger than the number before so for example 1,2, and 3 or 20, 21, and 22. These numbers are called consecutive. Now let's just pretend that the answer to this question is the variable "x". Now x is the smallest number in all the three numbers.

Using our knowledge of consecutive numbers we can say that the next to numbers will be one more than the number before so:

(x+1) and (x+2)

So we have our three numbers: x , x+1 , and x+2. Now let's set these numbers equal to 177.

177 = x + x + 1 + x + 2 → Combine like terms.

177 = 3x + 3 → Subtract 3 from both sides.

174 = 3x → Divide both sides by 3

58 = x

So that means that our first and smallest number is going to be 58 our second number will be +1 so 59 and our third number will be +2 so 60.

So the three numbers will be 58, 59, and 60.

Hope this helped.

4 0

2 years ago

Choose the true statement. -2 < -3 -2 > -3 -2 = -3Choose the true statement.

Marrrta [24]

-2 < -3 (I think so anyway)

7 0

2 years ago