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makkiz [27]
3 years ago
10

Solve for x: logx3=1/2

Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

x= 9

Step-by-step explanation:

Please see attached picture for full solution.

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136゚ is the same as ___ radians<br> Round to the nearest hundredth of a radian
Crazy boy [7]

to change from degrees to radians

multiply by pi/180

136 * pi/180 = 136/180 * pi

now simplify

34/45 * pi

.755556 * pi    pi=3.14159

2.373648

to the nearest hundredth

2.37 radians

8 0
3 years ago
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What is the slope in the equation:<br> y= 3/4x - 1
Basile [38]

Answer: the slope is 3/4.

y=mx+b and m is always the slope.

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3 years ago
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One variable examined is the survival rate 10 years after tagging. The scientists observed that 10 of the 50 metal tagged pengui
Oksana_A [137]

Answer:  90% confidence interval would be (-0.2483,-0.0717)

Step-by-step explanation:

Since we have given that

n₁ = 50

Number of metal tagged penguins survived = 10

So, p_m=\dfrac{10}{50}=0.2

n₂ = 50

Number of electronic tagged penguins = 18

So, p_e=\dfrac{18}{50}=0.36

So, at 90% confidence interval, z = 1.28

So, interval would be

(p_m-p_e)\pm z\sqrt{\dfrac{p_m(1-p_m)}{n}+\dfrac{p_e(1-p_e)}{n}}\\\\=(0.2-0.36)\pm 1.28\sqrt{\dfrac{0.2\times 0.8}{50}+\dfrac{0.36\times 0.64}{50}}\\\\=-0.16\pm 0.0883\\\\=(-0.16-0.0883,-0.16+0.0883)\\\\=(-0.2483,-0.0717)

Hence, 90% confidence interval would be

(-0.2483,-0.0717)

6 0
3 years ago
Solve this system of equations:
SpyIntel [72]

y=2x so replacr the -y with -2x so 2x+6 is 8x. :)

7 0
3 years ago
A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line? A =
Sati [7]

Answer:

Step-by-step explanation:

Y = mx + b

slope(m) = 3/4

(3,7)...x = 3 and y = 7

now we sub...we r looking for b, the y int

7 = 3/4(3) + b

7 = 9/4 + b

7 - 9/4 = b

28/4 - 9/4 = b

19/4 = b

equation is : y = 3/4x + 19/4...lets put this in standard form

y = 3/4x + 19/4

-3/4x + y = 19/4...multiply by -4

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if (x,5) is on the line

3x - 4y = -19.....sub in 5 for y

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3x = -19 + 20

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4 0
3 years ago
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