Answer:
Part A: x=3
Part B: 6oz
3x=18
Step-by-step explanation:
Part A-
So, he needs 3 oz for each sandwich.
This gives us 3 for the equation.
The question says that we need an equation for this.
If we need an equation, we could write something like
x=3
There's really not anything else that we could write here.
Part B-
We now have something that we need to write.
He has 18 oz for sandwiches.
Each sandwich needs 3 oz.
So, we can write something like 3x=18
Then we could solve the equation by dividing both sides by 3.
This will leave us with x=6
Hope this works!
Answer:
3x^2 + 3 --> 6, 15, 30, 51
2x^2 - 1 --> 1, 7, 17, 31
x^2 + 2 --> 3, 6, 11, 18
Step-by-step explanation:
Let's start with the first equation; 3x^2 + 3
Substitute 1 (the first digit in a sequence) for x.
3(1^2) + 3
3(1) + 3
3 + 3 = <u>6</u>
3(2^2) + 3 Then the second digit.
3(4) + 3
12 + 3 = <u>15</u>
Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.
2(1^2) - 1
2(1) - 1
2 - 1 = <u>1</u>
This equation represents 1, 7, 17, 31.
These same steps apply to the other equation as well.
1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)
Answer:
C.25
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
Which of the following is the smallest sample the company can take to achieve the desired margin or error?
This is n when 






We have to round up.
So the correct answer is:
C.25
Answer:
<em>Slope is -200 and y-intercept is at (0, 1200)</em>
<em>The linear equation is:
</em>
<em>The value of the computer after 4.5 years will be $300.</em>
Step-by-step explanation:
Value of the new computer is $1200
For tax purposes, the linear depreciation (loss of value) is $200 per year.
So after
years, total loss of value will be: 
If
is the declared value of the computer after
years, then the linear equation will be.......

If we compare the above equation with slope-intercept form
, then we will get:
and 
So, the slope of the line will be -200 and y-intercept will be at (0, 1200)
After 4.5 years means 
So when
, 
Thus, the value of the computer after 4.5 years will be $300.

<h3><u>Given </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u><u> </u><u>Robin </u><u>is </u><u>flying </u><u>a </u><u>kite</u><u>. </u>
- <u>She </u><u>ties </u><u>the </u><u>5</u><u>0</u><u> </u><u>foot </u><u>kite </u><u>string </u><u>to </u><u>the </u><u>ground </u><u>.</u>
- <u>The</u><u> </u><u>kite </u><u>is </u><u>flying </u><u>at </u><u>4</u><u>0</u><u> </u><u>feet </u><u>high </u>
<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>measure </u><u>of </u><u>the </u><u>angle </u><u>the </u><u>string </u><u>forms </u><u>with </u><u>the </u><u>group </u><u>that </u><u>is </u><u>angle </u><u>of </u><u>elevation</u><u>. </u>
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
<u>According </u><u>to </u><u>the </u><u>given</u><u> </u><u>question</u><u>, </u>
- Hypotenuse AC ( Distance of string from the ground) = 50 ft.
- Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.
<h3><u>Therefore</u><u>, </u></h3>
<u>By </u><u>using </u><u>trigonometric </u><u>ratios</u><u>,</u><u> </u>
{ 

}
<u>The </u><u>Angle </u><u>of </u><u>elevation </u><u>will </u><u>be </u>
<u>[</u><u> </u><u>The </u><u>angle </u><u>that </u><u>is </u><u>formed </u><u>between </u><u>the </u><u>line </u><u>of </u><u>sight </u><u>and </u><u>base </u><u>of </u><u>the </u><u>triangle </u><u>is </u><u>called </u><u>angle </u><u>of </u><u>elevation </u><u>]</u>





Hence, The measure of the angle the string forms with the ground is 45.83° .