If a box in the group has a length of 30 inches what is its volume

What do I need to do to do well in Algebra II?

GaryK [48]

Ask your teacher for help or watch a video that would help or do research and study

8 0

3 years ago

Write the equation of a hyperbola with vertices (0, -4) and (0, 4) and foci (0, -5) and (0, 5).

andre [41]

Check the picture below. So, more or less looks like so.

notice, the center is clearly at the origin, and notice how long the "a" component is, also, bear in mind that, is opening towards the y-axis, that means the fraction with the "y" variable is the positive one.

Also notice, the "c" distance from the center to either foci, is just 5 units.

$\bf \textit{hyperbolas, vertical traverse axis }\\\\
\cfrac{(y-{{ k}})^2}{{{ a}}^2}-\cfrac{(x-{{ h}})^2}{{{ b}}^2}=1
\qquad 
\begin{cases}
center\ ({{ h}},{{ k}})\\
vertices\ ({{ h}}, {{ k}}\pm a)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{{{ a }}^2+{{ b }}^2}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \begin{cases}
h=0\\
k=0\\
a=4\\
c=5
\end{cases}\implies \cfrac{(y-{{ 0}})^2}{{{ 4}}^2}-\cfrac{(x-{{ 0}})^2}{{{ b}}^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{b^2}=1
\\\\\\
c=\sqrt{a^2+b^2}\implies c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{5^2-4^2}=b\implies \boxed{3=b}
\\\\\\
\cfrac{y^2}{16}-\cfrac{x^2}{3^2}=1\implies \boxed{\cfrac{y^2}{16}-\cfrac{x^2}{9}=1}$

7 0

3 years ago

Which has the greater value? The sum of 89 and 45 or the difference between 89 and 45

VladimirAG [237]

Answer:

The sum of 89 and 45.

Step-by-step explanation:

The sum always means addition and the difference means subtraction. 89 + 45 is greater than 89 - 45.

5 0

3 years ago

Read 2 more answers

In a jar, the numbers of white, black and red marbles are in ratio of 5:11:8. If the total number of marbles is 144, then how ma

Dominik [7]

48 red marbles

Let me know if you want an explanation and I’ll be happy to explain

7 0

3 years ago

Traffic engineers studied the traffic patterns of two busy intersections on opposite sides of town at peak rush hour. At the fir

DiKsa [7]

Answer:

The standard deviation of the sum is of 8.06.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When we add two normal variables, the mean is the sum of their means, and the standard deviation is the square root of the sum of their variances. In this question:

First intersection -> Standard deviation of 4

Second intersection -> Standard deviation of 7

Sum:

$\sigma = \sqrt{4^2 + 7^2} = \sqrt{65} = 8.06$

The standard deviation of the sum is of 8.06.

6 0

3 years ago