Answer:
To solve this equation your goal is to get x by itself
First we need to distribute the 3 through the (2x-7)
x-6x+21=76 (-3*2x=-6x, -7*-3=21)
Your next step is to combine like terms
-5x+21=76 (x-6x=-5x)
Next subtract 21 from both sides
-5x=55 (21-21=0, 76-21=55)
Last you need to divide both sides by -5
x=-11 (-5/-5=1, 55/-5=-11)
x=-11
Hope this helps ;)
Answer:

Step-by-step explanation:
The vertex form of an equation of a parabola:

(h, k) - vertex
We have

We must use the formula: 

Use the distributive formula a(b + c) = ab + ac

Answer:
is this answer
Step-by-step explanation:
5(m+1)-1
5m+5-1
5m-4
Answer:
The critical value of <em>t</em> at 0.01 level of significance is 2.66.
Step-by-step explanation:
The hypothesis for the two-tailed population mean can be defined as:
<em>H₀</em>: <em>μ </em>= <em>μ₀</em> vs. <em>H₀</em>: <em>μ </em>≠ <em>μ₀</em>
It is provided that the population standard deviation is not known.
Since there is no information about the population standard deviation, we will use a <em>t</em>-test for single mean.
The test statistic is defined as follows:

The information given is:
<em>n</em> = 55
<em>α</em> =<em> </em>0.01
Compute the critical value of <em>t</em> as follows:

*Use a <em>t</em>-table for the value.
If the desired degrees of freedom are not provided consider he next highest degree of freedom.
Thus, the critical value of <em>t</em> at 0.01 level of significance is 2.66.
Cutting to the chase, the answer is more than 1 kilometer, up to 1,715 meters. If the speed of sound is 343 meters per second then 343 * 5 = 1,715 meters every 5 seconds