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2 years ago

50 points take it or leave it 3x+4=22

Mathematics

2 answers:

xeze [42]2 years ago

6 0

Answer:

x=6

Step-by-step explanation:

Given the linear equation:

3x+4=22

First subtract 4 from both sides.

3x=22−4

Subtract 4 from 22 to get 18.

3x=18

Divide both sides by 3.

x= $\frac{18}{3}$

Divide 18 and 3 which gets you 6.

x=6

Lerok [7]2 years ago

3 0

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

equation
PEMDAS

<h3>let's solve:</h3>

$\sf cancel \: 4 \: from \: both \: sides : \\ \sf \implies \: 3x + 4 - 4 = 22 - 4 \\ \implies \sf \: 3x = 18$
$\sf divide \: both \: sides \: by \: 3 : \\ \sf \bcancel \frac{3x}{3} = \frac{ \cancel{18} \: \: ^{6} }{ \cancel{ \: 3}} \\ \therefore \rm \: x = 6$

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

Maslowich

Answer:

67.3°C

Step-by-step explanation:

A = 25, T(0) = 100, T(1) = 90, find T(4)

dT/dt = -k(T - A)

d(T - A)/dt = -k(T - A)

d(T - A)/(T - A) = -k dt

ln(T - A) = lnC - kt

$T(t) -A=Ce^{-kt}\\T(t) = A + Ce^{-kt} = 25 + Ce^{-kt}\\T(0) = 25 + C = 100\\C=75$

$T(t) = 25 + 75e^{-kt}\\T(1) = 25 + 75e^{-k} = 90\\75e^{-k} = 65\\e^{-k} = \frac{65}{75}, k = ln\frac{75}{65} = 0.1431\\T(t) = 25+75e^{-0.1431t}\\T(4) = 25+75e^{-0.1431\times4} = 67.3$

4 0

2 years ago

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Lera25 [3.4K]

True because the ratios are a comparison of two or more numbers . I think

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2 years ago

Which term describes the figure? Choose 1 answer: Parallel lines Perpendicular lines None of the above

liubo4ka [24]

Answer:

perpendicular lines

Step-by-step explanation:

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2 years ago

Given that tangent theta = negative 1, what is the value of secant theta, for StartFraction 3 pi Over 2 EndFraction less-than th

vivado [14]

The value of tangent theta is equal to the negative 1. At this value the value of secant theta is $\sqrt{2}$ .

<h3>What is tangent theta?</h3>

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

Given information-

The value of tangent theta is equal to the negative 1.

$\tan \theta=-1$

The tangent theta in a triangle is the ratio of sine theta and cos theta. It can be written as,

$\rm tan\theta=\dfrac{sin \theta}{cos \theta}$

The value of tangent theta is equal to the negative 1. Thus put the value in above expression as,

$\rm -1=\dfrac{sin \theta}{cos \theta}\\$

Simplify it further as,

$\rm -cos \theta=sin \theta$

When the value of cosine and sine theta is equal, then the angle exist in 4th quadrant with the value of $\dfrac{7\pi}{4}$ . Which extent to the $\sqrt{2}/2$ for the cosine function.