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OverLord2011 [107]
3 years ago
13

Solve In (2x+3)=7 round to the nearest thousandth

Mathematics
1 answer:
e-lub [12.9K]3 years ago
8 0
To solve this problem you must apply the proccedure shown below:

 1. You have:
<span>
 In(2x+3)=7

 2. Then, you must apply log(e), as below:
</span><span>
 In(2x+3)=ln(e^7)

 3. Now, you obtain:

 2x+3=e^7

 4. Youy must clear the variable "x", as below:

 2x=e^7-3
</span> x=(e^7-3)/2
<span>
 5. Therefore, the value of "x" is:

 x=546.817
</span><span>
 The answer is: </span>x=546.817<span> </span>
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What is the standard form of the number shown in the calculator display?
LenaWriter [7]

3.82 x 10⁷  =  38,200,000  (move the decimal 7 places to the right)

7 0
3 years ago
Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta
frutty [35]

Answer:

x^2+(y-1)^2=1

Step-by-step explanation:

The given cylindrical equation is

r=2\sin \theta

Multiply both sides by r.

r^2=2r\sin \theta           .... (1)

The required formulas are

x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2

Substitute r\sin \theta =y,r^2=x^2+y^2 in equation (1).

x^2+y^2=2y

x^2+y^2-2y=0

Add 1 on both sides.

x^2+(y^2-2y+1)=1

(x-0)^2+(y-1)^2=1^2                    [\because (a-b)^2=a^2-2ab+b^2]

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is x^2+(y-1)^2=1.

3 0
3 years ago
A school assembly had 70 students in attendance, and 90% of them were first-graders. How many first-graders were at the assembly
natulia [17]

Answer:

63

Step-by-step explanation:

Because, 100% of 70 would be 7. Now we have that number lets multiply it by 9 because of 90%. 9 x 7 = 63 first-graders

4 0
2 years ago
I Really Need Help With This One Can Some One Plz Help Me?
Lapatulllka [165]
1.6²=1.6 times 1.6=2.56
4 0
3 years ago
Pleas help me solve #1 :( <br> Your answer helps so much!!
miskamm [114]

ANSWER

y = 7 \sqrt{2}

x = 7

EXPLANATION

The given triangle has a right angle.

The side opposite to the 45° angle is 7 units.

To find angle x, we use the tangent ratio.

Recall the mnemonics TOA, which means,

\tan(45 \degree)  =  \frac{opposite}{adjacent}

\tan(45 \degree)  =  \frac{7}{x}

1 =  \frac{7}{x}

x = 7

To find y, we use the sine ratio, which means

\sin(45 \degree)  =  \frac{opposite}{hypotenuse}

\sin(45 \degree)  =  \frac{7}{y}

y=  \frac{7}{\sin(45 \degree) }

y=  \frac{7}{ \frac{1}{ \sqrt{2} } }

y = 7 \times  \frac{ \sqrt{2} }{1}

y = 7 \sqrt{2}

3 0
3 years ago
Read 2 more answers
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