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Xelga [282]
3 years ago
12

Determine the value c so that each of the following

Mathematics
1 answer:
Levart [38]3 years ago
4 0
This can help you

a) since it is discrete we need to think about the sum thing it it was continuous we would look at an integral thing so I think if I remember correctly we need to find c such that <span><span>∑<span>i=0</span>3</span>c(<span>x2</span>+4)=1
b) </span> problem b is a similar setup


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GUYSSSSS!!!! PLEASE I NEED HELP RIGHT NOWW!!! HELP PLEASE!​
nikdorinn [45]

Answer:

\angle ABC=20^{\circ}

Step-by-step explanation:

Since each side of a line is 180 degrees, we can write the following system of equations:

\begin{cases}2x+12y+x+2y=180,\\x+2y+8y-4x=180\end{cases},\\\begin{cases}3x+14y=180,\\-3x+10y=180\end{cases}

Add both equations to solve for y:

24y=360,\\y=\frac{360}{24}=15

Now substitute y=15 into 3x+14y=180 to solve for x:

3x+14(15)=180,\\3x=-30,\\x=-10

Finish by substituting both variables to solve for \angle ABC:

\angle ABC=x+2y,\\\angle ABC=-10+2(15),\\\angle ABC=-10+30=\boxed{20^{\circ}}

7 0
3 years ago
A 64-ounce container of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which juice container is t
larisa86 [58]

Answer:

The juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

Step-by-step explanation:

In order to determine the juice container that is the better buy, you have to find the one that has a lower cost per ounce by dividing the price of each juice container by the number of ounces it has:

64-ounce container: 6.50/64=0.10

48-ounce container: 4.25/48=0.08

According to this, the answer is that the juice container that is a better buy is the 48 ounce container because the price per ounce is lower.

6 0
3 years ago
Maria types a 5 page paper in 40 minutes. At this rate, how many pages will she type in 136 minutes?
kvv77 [185]
In this equation, X = 17
8 0
3 years ago
Kimiko works at the drive-thru window in a fast-food restaurant. At the end of a 2-hour shift, the display at her window shows t
Anastaziya [24]

Answer:

90 customers

Step-by-step explanation:

Total shift time  = 2 hours

1 hours = 60 minutes

Total shift time minutes = 2*60 minutes = 120 minutes

Average Time taken to serve 1 customer = 1 minute 20 seconds

lets convert  1 minute 20 seconds in fraction

60 seconds = 1 minute

20 seconds  = 20/60 minutes = 1/3 minutes

Thus,

Average Time taken to serve 1 customer = 1 minute + 1/3 minutes = 4/3 minutes

Lets assume she served x customer in her 2 hour shift

total time taken to serve x customer =x*Average Time taken to serve 1 customer = 4x/3 minutes

Given that she the customers for her shift time which is 120 minutes

4x/3 minutes = 120 minutes

x = 120*3/4 = 90

Thus,

Kimiko served 90 customers and this is the number of customer which came through the drive thru during those 2 hours.

3 0
3 years ago
Combine the like terms to create a equivalent expression <br> 8r + 7 - 6r -5
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

8r - 6r + 7 - 5

2r + 2

8 0
3 years ago
Read 2 more answers
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