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3 years ago

Dawson says that the expression (2 4/10+8 4/5(

Mathematics

1 answer:

Katen [24]3 years ago

7 0

Answer:

56/5

Step-by-step explanation:

2 4/10=24/10

8 4/5=44/5

24/10+44/5=24/10+88/10=112/10=56/5

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Identify which values are solutions of 4x-7>=-1

Mrrafil [7]

Answer:

x=1.5

x=1 1/2

Step-by-step explanation:

4x-7>-1

add 7 to both sides

4x=6

divide by 4 on both sides

x=1.5

x=1 1/2

5 0

2 years ago

The temperature fell 4 degrees in the last hour. Now it is 21 degrees. Write an equation to find the temperature it was 1 hour a

Sloan [31]

Answer:

21 + 4 = 25

Step-by-step explanation:

this is the answer because the temperature fell 4 degrees in the last hour.

so we have to add back that 4 to get the answer.

our equation will be 21 + 4 equals 25.

hope this helps!

sakuracherry

6 0

2 years ago

An auto shop had 5 tires. Two of the tires dry rotted, so the tires cannot be used. The auto shop expects 7 vehicles to come in

Afina-wow [57]

Answer:

Explanation

5-2 equals 3

+1 that's one car

6x4 equals 24 + 1

7 0

2 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

3 years ago

the thrill amusement park charges an entry fee of 40$ and an additional 5$ pre ride, x. The splash water park an entry fee of 60

MrRissso [65]

45/X + 63/X= 108/X = Y, X= 108 divided by 2 = y, y=54

8 0

3 years ago