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3 years ago

Solve the equation 4n-18=52

Mathematics

2 answers:

muminat3 years ago

4 0

Answer:
n = 35/2
Hope this helps! :)

Veronika [31]3 years ago

3 0

Answer:

17.5

Step-by-step explanation:

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Need some help, please. : )<br><br> Not sure how to answer this in a formula. : /

yaroslaw [1]

Answer:

Step-by-step explanation:

It is a solution to the first equation, but not the second equation.

4 0

3 years ago

An equation of a hyperbola is given.

siniylev [52]

Answer:

The vertices are $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

The foci are $\left(3\sqrt{5},\:0\right),\:\left(-3\sqrt{5},\:0\right)$ .

The asymptotes are $y=2x,\:y=-2x$ .

b) The length of the transverse axis is 6.

c) See below.

Step-by-step explanation:

$\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1$ is the standard equation for a right-left facing hyperbola with center $\left(h,\:k\right)$ .

The vertices $\:\left(h+a,\:k\right),\:\left(h-a,\:k\right)$ are the two bending points of the hyperbola with center $\:\left(h,\:k\right)$ and semi-axis a, b.

Therefore,

$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ and vertices $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

For a right-left facing hyperbola, the Foci (focus points) are defined as $\left(h+c,\:k\right),\:\left(h-c,\:k\right)$ where $c=\sqrt{a^2+b^2}$ is the distance from the center $\left(h,\:k\right)$ to a focus.

Therefore,

$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ $c=\sqrt{3^2+6^2}= 3\sqrt{5}$ and foci $\left(3\sqrt{5},\:0\right),\:\left(-3\sqrt{5},\:0\right)$

The asymptotes are the lines the hyperbola tends to at $\pm \infty$ . For right-left hyperbola the asymptotes are: $y=\pm \frac{b}{a}\left(x-h\right)+k$

Therefore,

$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ and asymptotes

$y=\frac{6}{3}\left(x-0\right)+0,\:\quad \:y=-\frac{6}{3}\left(x-0\right)+0\\y=2x,\:\quad \:y=-2x$

b) The length of the transverse axis is given by $2a$ . Therefore, the lenght is 6.

c) See below.

4 0

4 years ago

The researcher originally reported a standard deviation of 12.3 grams. However, upon closer investigation, she discovered that h

timofeeve [1]

Answer:

12.3 grams

Step-by-step explanation:

When a constant value is added to each data element in a distribution, the maen changes by that constant but the standard deviation stays the same. This is because the standard deviation is a measure of how distant the data are from the mean. When a constant value is added to each of them, the mean also gets the increment. Hence, the distance from the mean is maintained.

However, if the data were multiplied by a constant factor, then the standard deviation will be multiplied by the same factor as well as the mean.

Therefore, the standard deviation from the question remains the same as before, 12.3 grams.

4 0

4 years ago

Elsa wants to date 6 reindeer. How many and marry Sven. How may reinderr is there in total?

sveticcg [70]

Answer:

I'm guessing 7 reindeer

3 0

4 years ago

Which of the following is recommended when paying a credit card bill?A. Pay the minimum amount every month.B. Pay exactly half t

valentina_108 [34]

Answer: d

Step-by-step explanation:

However much more you pay over the minimum will be applied to the principle, which means it will take less time to pay the credit card bill off

3 0

3 years ago