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Naya [18.7K]
4 years ago
14

Wat is the answer to5n-16-8n=-10

Mathematics
2 answers:
stiks02 [169]4 years ago
4 0
N=<span>−<span>2 is the answer and tell me if you need the steps </span></span>
Vladimir79 [104]4 years ago
3 0
-3n-16=-10
-3n=-10+16
-3n=6
N=6/-3
N=-2
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City A is due north of City B. Find the distance between City A ​(36 degrees 6 prime36°6′ north​ latitude) and City B ​(21 degre
vitfil [10]

Answer:

distance = 994.75 miles

Step-by-step explanation:

given data

City A = 36°6′ = 36° + \frac{6}{60} = 36.1° = 36.1° × \frac{\pi}{180} = 0.6297 rad

City B = 21°42′ = 21° + \frac{42}{60} = 21.7° = 21.7° × \frac{\pi}{180} = 0.3785 rad

multiply by π/180 to convert the degree to radian

radius of Earth = 3960 miles

to find out

distance between City A and City B

solution

we first get here central angle between A and B city is

central angle between A and B city = 0.6297 rad - 0.3785 rad

and

now by arc length so  we get distance

distance = 3960 miles × (0.6297 rad - 0.3785 rad )

distance = 994.75 miles

5 0
3 years ago
2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

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6 0
3 years ago
Mona's math certificate is 10 inches tall and 14 inches wide. Mona wants to put the certificate in a fancy frame that costs $1.0
swat32

Answer:

$48.96

Step-by-step explanation:

Given data

Length= 10inches

Width=14 inches

Let us find the perimeter of the  certificate

P=2L+2W

P= 2*10+2*14

P=20+28

P= 48 inches

Hence if 1 inche cost $1.02

Then 48 inches will cost x

cross multiply we

x= 48*1.02

x= $48.96

Hence it will cost $48.96 to frame the certificate

6 0
3 years ago
2√64<br> (+) =8<br> 10-2 <br><br>solve 3√125=? by following steps above​
Liono4ka [1.6K]

<em><u>your </u></em><em><u>question:</u></em><em><u> </u></em>

solve 3√125=? by following steps above

<em><u>answer:</u></em>

<em>I'm</em><em> </em><em>not </em><em>sure </em><em>what</em> <em>the </em><em>steps</em><em>"</em><em> </em><em>are </em><em>but </em><em>I </em><em>got </em><em>33.54101966249 </em>

4 0
3 years ago
Please help! Find the equation of the line (graph provided in attached picture) Use exact numbers. y =_ x+_ ( _ represent blanks
Dennis_Churaev [7]

Answer:

y = \frac{3}{4}x - 2

Step-by-step explanation:

Equation of a line is given as y = mx + b

Where,

m = slope of the line = \frac{y_2 - y_1}{x_2 - x_1}

b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.

Let's find m and b to derive the equation for the line.

m = \frac{y_2 - y_1}{x_2 - x_1}

Use the coordinate pair of any two points on the line. Let's use the following,

(0, -2) = (x_1, y_1) => on the line, when x = 0, y = -2

(4, 1) = (x_2, y_2) => on the line, when x = 4, y = 1

Plug in the values and solve for m

m = \frac{1 - (-2)}{4 - 0}

m = \frac{1 + 2}{4}

m = \frac{3}{4}

b = -2 (the line intercepts the y-axis at this point)

Our equation would be =>

y = mx + b

y = \frac{3}{4}x + (-2)

y = \frac{3}{4}x - 2

5 0
4 years ago
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