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Maksim231197 [3]
4 years ago
13

What is -4(3x-2) + 5 = 73​

Mathematics
1 answer:
tresset_1 [31]4 years ago
7 0

Answer:

x= -5

Step-by-step explanation:

distribue -4 to get   -12x+8+5=73

combine like terms   -12x+13=73

subtract 13 from both sides   -12x=60

divide both sides by -12        x=-5

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There are 48 available subjects. Researchers should select 4 of them for their experiment. 
We should find the number of possible different random samples. The order of the selected subjects is not important. This means that we need to find how many different combinations of  subjects from total 48 are possible. <span>A </span>formula<span> for the number of possible </span>combinations<span> of </span>r<span> objects from a </span>set<span> of </span>n<span> objects is: n!/r!(n-r)!. In our case n=48 and r=4:
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4 0
3 years ago
Fifty randomly selected individuals were timed completing a tax form. the sample mean was 23.6 minutes; the sample standard devi
VLD [36.1K]
Given:
n = 50, sample size
\bar{x} = 23.6 \, min, sample mean
s = 2.4 min, sample standard deviation.

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\bar{x} \pm t^{*} \frac{s}{ \sqrt{n} }

At the 99% confidence level, t* (from the student's t-distribution) is 
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Therefore
t*(s/√n) = 2.68*(2.4/√50) = 0.9096

The confidence interval is
(23.6-0.9096, 23.6+0.9096) ≈ (22.69, 24.51)

Answer: (22.7, 24.5)

5 0
3 years ago
In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the
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The answer is C because it is telling you to subtract 180 degrees from 54 degrees to get the final answer which is 126 I got that because 54 is that angle and it is asking for the whole amount so it would be C
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Read 2 more answers
A motorboat can maintain a constant speed of 44 miles per hour relative to the water. The boat makes a trip upstream to a certai
serg [7]

Answer:

Step-by-step explanation:

Distance upstream = (34-c)(39/60) miles

--------------------------

Distance downstream = (34+c)(29/60) miles

-----------------------------------------------

Equation:

distance = rate*time

distance up = distance down

(34-c)(39/60) = (34+c)(29/60)

Multiply both sides by 60 to get:

39(34-c) = 29(34+c)

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c = 5 mph speed of the current

4 0
3 years ago
56. How many tangent lines to the curve <img src="https://tex.z-dn.net/?f=y%3Dx%20%2F%28x%2B1%29" id="TexFormula1" title="y=x /(
PIT_PIT [208]

There are 2 tangent lines that pass through the point

y=\frac{1}{(-1+\sqrt{3)^2} } (x-1)+2

and

y=\frac{1}{(-1-\sqrt{3)^2} } (x-1)+2

Explanation:

Given:

y=\frac{x}{x+1}

The point-slope form of the equation of a line tells us that the form of the tangent lines must be:

y=m(x-1)+2 [1]

For the lines to be tangent to the curve, we must substitute the first derivative of the curve for m:

\frac{dy}{dx} =\frac{d(x)}{dx}(x+1)-x^\frac{d(x+1)}{dx} \\ \\

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\frac{dy}{dx}= \frac{1}{(x+1)^2}

m=\frac{1}{(x+1)^2} [2]

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y=\frac{x-1}{(x+1)^2}+2 [1.1]

Because the line must touch the curve, we may substitute y=\frac{x}{x+1}:

\frac{x}{x+1}=\frac{x-1}{(x+1)^2}+2

Solve for x:

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x^2+4x+1

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x=-2 ± \sqrt{3}

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8 0
3 years ago
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