1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uranmaximum [27]
2 years ago
9

Evaluate the summation of 3 times negative 2 to the n minus 1 power, from n equals 1 to 5. A) −93. B) −33. C) 33. D) 93

Mathematics
2 answers:
USPshnik [31]2 years ago
8 0

Answer:

(C)33

Step-by-step explanation:

The given summation can be written as:

\sum_{n=1}^{5}3(-2)^{n-1}

Putting the values of n from 1 to 5 in the above equation, we get

=3(-2)^0+3(-2)^1+3(-2)^2+3(-2)^3+3(-2)4

=3+(-6)+3(4)+3(-8)+3(16)

=3-6+12-24+48

=33

Thus, the value of the given summation \sum_{n=1}^{5}3(-2)^{n-1} is 33.

Hence, option C is correct.

lions [1.4K]2 years ago
4 0
∑ ( from n = 1 to n =5 ) 3 · ( -2 ) ^( n -1 )
a 1 = 3 · ( -2 ) ^0 = 3
a 2 = 3 · ( - 2 ) = - 6
a 3 = 3 · 4 = 12
a 4 = 3 · ( - 8 ) = - 24
a 5 = 3 · 16 = 48
3 - 6 + 12 - 24 + 48 = 33
Answer: C ) 33
You might be interested in
It's in Danish but I will translate it for you. :)
Nuetrik [128]
<span>
B) Determine y when x = 10 and solve the equation y = 18 (where you print y with the right side in your specification)</span>
8 0
3 years ago
An art gallery sells paintings at 0.35 per square inch. if a painting is 2 feet 3 inches by 3 feet 5 inches. how much would the
Natalka [10]

Hello!

ANSWER

The painting would cost $387.45.

____________________________________________________________

EXPLANATION

2' 3" = 27"

3' 5" = 41"

Multiply the length by the width (in inches) of the painting.

27 * 41 = 1107

We now know that the area of the painting is 1107in.^{2} Next, multiply the cost per square inch (0.35) by the total amount of square inches (1107).

.35 * 1107 = 387.45



7 0
2 years ago
Which could be the area of one face of the triangular prism? Select three options.
katovenus [111]

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

<u>Triangular face</u>

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units

<u>Rectangular Faces</u>

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

  • 24 square units
  • 72 square units
  • 96 square units

4 0
3 years ago
Read 2 more answers
A local company makes a candy that is supposed to weigh 1.00 ounces. A random sample of 25 pieces of candy produces a mean of 0.
AysviL [449]

Answer:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

Step-by-step explanation:

Information given

\bar X= 0.996 the sample mean

s=0.004 the sample deviation

n =25 the sample size

Solution to the problem

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}    (a)

And on this case we have that ME =0.001 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

We can use as estimator of the real population deviation the sample deviation for this case \hat \sigma = s/ The critical value for 99% of confidence interval is given by z_{\alpha/2}=2.58, replacing into formula (b) we got:

n=(\frac{2.58(0.004)}{0.001})^2 =106.50 \approx 107

So the answer for this case would be n=107 rounded up to the nearest integer

6 0
3 years ago
What is 1,936 divided by 546
nalin [4]

Answer:

3.54578755

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Which statement explains whether −1.5 can be a value in the shaded region?
    15·1 answer
  • What do you have to do to each side to solve x + 5 &gt; 2? ​​
    9·1 answer
  • Find the value of y for the given value of x for the equation: y = x - 8; x =<br> 5*
    15·1 answer
  • Please help with function notation question (see attached file)
    12·1 answer
  • Ms. Fleener's fish tank has a bottom area of 102 square
    10·1 answer
  • Write an equation of the line that passes through each pair of points.
    7·1 answer
  • A
    12·1 answer
  • Two mechanics worked on a car. The first mechanic charged $105 per hour, and the second mechanic charged $85 per hour. The mecha
    13·1 answer
  • One hundred sixty-two guests attended a banquet. Three servers provided their beverages. The first server helped three times as
    15·1 answer
  • Logx+log6=69<br> Round to nearest tenth
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!