<img src="https://tex.z-dn.net/?f=2%5Ex%5E%2B%5E3%3D5%5E2%5Ex" id="TexFormula1" title="2^x^+^3=5^2^x" alt="2^x^+^3=5^2^x" align=

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VARVARA [1.3K]

3 years ago

"absmiddle" class="latex-formula">

Please show steps!

Mathematics

1 answer:

Sloan [31]3 years ago

6 0

Let's solve your equation step-by-step.
2
x
+
3
=
5
2
x
Solve Exponent.
2
x
+
3
=
5
2
x
log
(
2
x
+
3
)
=
log
(
5
2
x
)
(Take log of both sides)
(
x
+
3
)
*
(
log
(
2
)
)
=
2
x
*
(
log
(
5
)
)
x
+
3
=
(
log
(
5
)
log
(
2
)
)
*
(
2
x
)
x
+
3
=
2.321928
*
2
x
x
+
3
=
4.643856
x
(Simplify both sides of the equation)
x
+
3
−
4.643856
x
=
4.643856
x
−
4.643856
x
(Subtract 4.643856x from both sides)
−
3.643856
x
+
3
=
0
−
3.643856
x
+
3
−
3
=
0
−
3
(Subtract 3 from both sides)
−
3.643856
x
=
−
3
−
3.643856
x
−
3.643856
=
−
3
−
3.643856
(Divide both sides by -3.643856)
x
=
0.823304

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what's 2+2?

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1 year ago

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A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and

Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units. The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

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4 years ago

How can I delete my membership?

steposvetlana [31]

Answer:

Yea

Step-by-step explanation:

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4 years ago

Peter Schmidt ordered sandwiches and salads for a luncheon meeting. The sandwiches cost three times as much as a salads. The tot

evablogger [386]

EXPLANATION

Let's see the facts:

$Sandwiches= 3*$Salads

Bill = $24.92

We can represent this in an equation:

Total Bill = Sandwiches + Salads

Let's call to Sandwiches "x" to Salads "y" and to Bill "B"

Then, the equation will be:

B = x+y = (3*y) + y

Applying distributive property:

24.92 = 3y + y

Adding similar terms:

24.92 = 4y

Dividing both sides by 4:

6.23 = y

Switching:

y=6.23

As we know, y variable represent the salads cost, so:

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1 year ago

Select interior, exterior, or on the circle (x - 5) 2 + (y + 3) 2 = 25 for the following point. (2, 3)

lozanna [386]

Standard equation of a circle: (x-h)² + (y-k)² = r² where (h, k) is the center and r is the radius. In the case of our equation here, (x-5)² + (y+3)² = 25, we can conclude that our circle has a center at (5, -3) and a radius of 5 units.

We can use the distance formula with the center (5, -3) and our point (2, 3) to see how far away they are...if the distance between them is less than the radius of the circle, it is on the interior. If it's equal, it's on the circle. If it's greater, it's on the exterior.

Distance = $\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

Distance = $\sqrt{(-3-3)^2+(5-2)^2}$

Distance = $\sqrt{(-6)^2+3^2}$

Distance = $\sqrt{36+9}$

Distance = $\sqrt{45}\approx6.7082$

$6.7082>5,\ so\ (2,3)\ is\ on\ the\ \boxed{exterior}$

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3 years ago