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GenaCL600 [577]
3 years ago
5

How is the sum expressed in sigma notation? 1/64+1/16+1/4 + 1 + 4

Mathematics
1 answer:
shusha [124]3 years ago
5 0

9514 1404 393

Answer:

  sum = ∑[n=1,5] 4^(n-4)

Step-by-step explanation:

First of all, you need to be able to describe the n-th term.

Here, we  have ...

  term #: 1, 2, 3, 4, 5

  value: 4^-3, 4^-2, 4^-1, 4^0, 4^1

That is, the exponent of 4 is 4 less than the term number. So, the n-th term is 4^(n-4). The sum of the 5 terms shown is then ...

  \displaystyle sum=\sum_{n=1}^5{4^{n-4}}

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3.5x + 6.5y= 1800 <br><br> WRITE IN SLOPE INTERCEPT FORM!<br> show all work
Zigmanuir [339]
3.5x + 6.5y = 1800
Move 3.5x to another side.
6.5y = -3.5x +1800
Divide by 6.5.
y = -3.5/6.5x + 1800
If we round it would be:
Y = 0.5x + 1800
0.5x is the slope and 1800 is the y-intercept.
Hope that helps.
6 0
3 years ago
PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30°<br> Calculate the length of QR.
Deffense [45]

Answer:

6.55 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

c² = a² + b² - 2ab*cos(C)

Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:

QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)

QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270

QR² = 43

QR = 6.55 cm

3 0
3 years ago
The weekly salaries of a sample of employees at the local bank are given in the table below. Employee Weekly Salary Anja $245 Ra
Setler [38]
The mean of the data is given

\frac{245+300+325+465+100}{5}=287

The variance of the data is given
( \frac{245^{2}+300^{2}+325^{2}+465^{2}+100^{2}} {5})-(287^{2})96375- 287^{2} =14006
5 0
4 years ago
Read 2 more answers
I need help with this
AnnZ [28]
Oh lord who knows...
3 0
4 years ago
Read 2 more answers
The basal energy rate is the daily amount of energy (measured in calories) needed by the body at rest to maintain body temperatu
katovenus [111]
Given :
A = <span>70 years old
H = 172 cm
W = 55 kg

so calculate the the basal energy rate B
B = </span><span>655.096 + 9.563W +1.85H - 4.676A
</span><span>where B is the basal energy rate (in calories), W is the weight (in kilograms), H is the height (in centimeters), and A is the age (in years)
substitute the given
B = </span>655.096 + 9.563(55) +1.85(172) - 4.676(70)
B = 1171.941 cal is the basal energy rate, since he is prescribed for 1000 cal per day is not enough because basal energy is the calorie needed at rest only how about the calorie needed for the daily acivities.
5 0
3 years ago
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