101 101 Suppose that Σ ai = -12 and Σ bi = -19. i=1 i=1 Compute the sum. 101 Σ( – 5ai – 12bi) i=1​

101 101 Suppose That Ai = -12 And Bi = -19. I=1 I=1 Compute The Sum. 101 ( 5ai 12bi) I=1

Answers

Answer 1

Distribute the summation over the sum.

\(\displaystyle \sum_{i=1}^{101} (-5a_i - 12b_i) = -5 \sum_{i=1}^{101} a_i - 12 \sum_{i=1}^{101} b_i\)

Now plug in the known sums and simplify.

\(\displaystyle \sum_{i=1}^{101} (-5a_i - 12b_i) = -5(-12) - 12(-19) = \boxed{288}\)


Related Questions

Without graphing, find the slope of the line that goes through (-3, 1) and (1,3).

Answers

Answer:

1/2 i think using a app brjejfj

Without graphing, find the slope of the line that goes through (-3, 1) and (1,3).

Peter has 36 shirts in his closet, 2/9 of the shirts are striped. If the remaining shirts
are solid, how many shirts is that? What fraction of Peters shirts are solid?

Answers

Answer:

28 shirts are sold

7/9 of the shirts are sold

Step-by-step explanation:

hope this helps <3

Simplify the ratio 25 :15

Answers

Answer:

5/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 25 and 15 is 5

Divide both the numerator and denominator by the GCD

25 ÷ 5

15 ÷ 5

Reduced fraction:  

5

3

Therefore, 25/15 simplified to lowest terms is 5/3.

brailiest pls hope it helps

This table shows a proportional relationship. х y Complete the equation that represents the table. - 4 - 6 Enter your answer as a decimal in the box. -2 3 0 0 y = Х 8. 12​

This table shows a proportional relationship. y Complete the equation that represents the table. - 4

Answers

Answer:

y = 1.5x

Step-by-step explanation:

An equation that represents a proportional relationship can be written as y = kx.

Where,

k = constant of proportionality or unit rate = y/x

Using a pair form the table of values, say (-2, -3),

k = y/x = -3/-2 = ³/2 = 1.5

Substitute k = 1.5 into y = mx

The equation that represents the table would be:

y = 1.5x

The proportionality constant is 2/3 and the required equation is y = 2/3x

Tables and values

The standard equation of a line is expressed as y = mx + b

where:

m is the slope of the line

b is the intercept

From the given question, we are to find the rate of change (slope) from the give  table.

USing the coordinate points from the table (-2, 0) and (-3, 0)

Also recall that;

y = kx

-2 = k(-3)

k = 2/3

Hence the proportionality constant is 2/3 and the required equation is y = 2/3x

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3 + 11 × 8^2 =
PLEASE HELP ASAP

Answers

3+11×8²

=3+11×64

=3+704

=707

Answer:

707

Concepts:

Order of Operations: PEMDAS

1. Parenthesis

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Left to Right

Step-by-step Explanation:

Follow the Order of Operations

Step 1: Solve exponents

3 + 11 × 8^2

8^2 = 64

3 + 11 × 64

Step 2: Solve Multiplication

3 + 11 × 64

11 × 64 = 704

3 + 704

Step 3: Add the Terms

3 + 704 = 707

Hence,

3 + 11 × 8^2 = 707

Evaluate 2a^2 – 3ab + b^2 – 4a + b when a = - 4 and b = – 2.
-6
74
18
26
Please no links

Evaluate 2a^2 3ab + b^2 4a + b when a = - 4 and b = 2.-6741826Please no links

Answers

Answer:

26

Step-by-step explanation:

Substitute -4 for a and -2 for b

\(2a^{2} - 3ab+b^{2}-4a-b\\ 2(-4^{2} )- 3 (-4*-2)+-(2^{2})-4(-4)-2 \\32-24+4+16-2\)

Help!!!
Solve for h:

6.1h = 2.44​

Answers

Answer:

h=0.4

Step-by-step explanation:

6.1h=2.44

h=2.44/6.1

h=0.4

cindy had 12 black shoes and 4 red shoes in her closet. what is the ratio of red shoes to black shoes?

cindy had 12 black shoes and 4 red shoes in her closet. what is the ratio of red shoes to black shoes?

Answers

Answer:

the answer is B because 3x4 is 12

Fill in the blank with the correct answer choice. A ___________ has exactly one pair of parallel lines. a. square c. trapezoid b. parallelogram d. rectangle Please select the best answer from the choices provided A B C D

Answers

Answer: C

Step-by-step explanation:

The rest of the quadrilaterals provided have 2 pairs of parallel lines.

The choice is:

C

Explanation:

The quadrilateral that has exactly one pair of parallel lines is called a trapezoid.

Here's what a trapezoid looks like :

\(\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\linethickness{0.3mm}\qbezier(0,0)(0,0)(1,3)\qbezier(5,0)(5,0)(4,3)\qbezier(1,3)(1,3)(4,3)\qbezier(3,0)(8.2,0)(0,0)\put(-0.5,-0.3){$\sf A$}\put(5.3,-0.3){$\sf B$}\put(4.2,3.1){$\sf C$}\put(0.6,3.1){$\sf D$}\end{picture}\)

Hence, this makes C the correct choice.

A laboratory tested n = 98 chicken eggs and found that the mean amount of cholesterol was LaTeX: \bar{x}x ¯ = 86 milligrams with σ = 7 milligrams. Find the margin of error E corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs.

Answers

Answer:

1.3859

Step-by-step explanation:

The formula for Margin of Error is given as:

Margin of Error = Critical value × Standard Error

Critical value = z score

In the question, we are given a confidence interval of 95%.

Z score for a 95% confidence level is given as: 1.96

Hence, critical value = 1.96

Standard Error = σ / √n

Where n = number of samples = 98 chicken eggs

σ = Standard deviation = 7 milligrams

Standard Error = 7/√98

Standard Error = 0.7071067812

Hence, Margin of Error = Critical value × Standard Error

Margin of Error = 1.96 × 0.7071067812

Margin of Error = 1.3859292911

Therefore, the margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is approximately 1.3859

A test has 5 questions in section A and 3 questions in section B. A student has to choose any 3 questions and 2 questions from section A and B respectfully and answer the questions in any order. Find how many ways the student can choose the question to answer

Answers

The number of ways that the student can choose the question to answer is; 30 ways

How to Solve Probability Combination?

We are given that;

Number of questions in Section A = 5 questions

Number of questions in section B = 3 questions

Number of questions to be answered from section A = 3 questions

Number of questions to be answered from section B = 2 questions

The formula for probability combination is;

nCr = n!/(r!(n - r)!)

Number of ways of answering from section A = ⁵C₂

Number of ways of answering from section B = ³C₂

Thus, the number of ways that the student can choose the question to answer from the 8 questions in total is;

⁵C₂ * ³C₂

= 5!/(2!(5 - 2)!) * 3!/(2!(3 - 2)!)

= 10 * 3

= 30 ways

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Warm-Up
Jug
Use the diagram below to answer the questions.
Intro
K
P
M
Which are shown on the diagram? Check all that apply.
O
OKM
Ojk
OPK
OLJK
COM
Dong

Warm-UpJugUse the diagram below to answer the questions.IntroKPMWhich are shown on the diagram? Check

Answers

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Warm-UpJugUse the diagram below to answer the questions.IntroKPMWhich are shown on the diagram? Check

Hello please, I did not understand this exercise. In the plane referred to an orthonormal reference (o, i, j) place the points A, B, C and D defined by: A(6; 4); B(3; 7); C(12; -2); D(9; 7).
Show that C is the image of A by dilation with center B and ratio 3.

Answers

We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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PLS HELP!!!
Solve.
2x-y+2z=-6
-3y+z=-2
2x-3z+4

PLS HELP!!! Solve. 2x-y+2z=-6-3y+z=-22x-3z+4

Answers

The solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

How to solve the system of equations?

The system of equations is given as

2x - y + 2z = -6

-3y + z = -2

2x - 3z = -4

Subtract 2x - 3z = -4 from 2x - y + 2z = -6

This is represented as

(2x - y + 2z = -6) - (2x - 3z = -4)

This gives

- y + 5z = -2

Multiply - y + 5z = -2 by 3

-3y + 15z = -6

Subtract -3y + 15z = -6 from -3y + z = -2

This is represented as

(-3y + z = -2) - (-3y + 15z = -6)

This gives

-14z = 4

Divide by -14

z = -2/7

Substitute z = -2/7 in - y + 5z = -2

- y - 5 * 2/7 = -2

This gives

- y - 10/7 = -2

Rewrite as:

y = 2 - 10/7

Evaluate

y = 4/7

Substitute z = -2/7 in 2x - 3z = -4

2x - 3 * 4/7 = -4

This gives

2x - 12/7 = -4

So, we have:

2x = 12/7 - 4

Evaluate

2x = -16/7

Divide by 2

x = -8/7

Hence, the solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7

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Given mn, find the value of x.
(3x-17)⁰
(2x+2)°

Given mn, find the value of x.(3x-17)(2x+2)

Answers

Answer:

Corresponding angles are congruent:

3x - 17 = 2x - 2, so x = 15.

The local minimart the cost of a bag of chips at the corner store is 1.45 at the cost of a banana is 0.85 what would it cost to get six bags of chips and two bananas what would it cost to get ex bags of chips and y bananas

Answers

9514 1404 393

Answer:

10.40 for 6 chips and 2 bananas1.45x +0.85y

Step-by-step explanation:

The total cost is the sum of products of number of items and item cost.

  (6 bags)(1.45/bag) +(2 bananas)(0.85/banana) = 8.70 +1.70 = 10.40

It would cost 10.40 for 6 bags of chips and 2 bananas.

__

Similarly, for x bags and y bananas, the cost is ...

  1.45x +0.85y

Quadrilateral A'B'C'D' is the image of
quadrilateral ABCD under a dilation with a scale
factor of 3. What is the length of segment BC?

Answers

By using the concept of dilation factor, length of BC obtained is 3 units

What is dilation factor?

Dilation is a transformation which changes the size of a figure by a certain factor.

That factor is called the scale factor

In the figure, A'B'C'D' is the image of ABCD under dilation with a scale factor of 3

A'B'C'D' is the dilated figure

Length of B'C' = 9 units

Length of BC = \(9 \div 3\) = 3 units

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Complete Question

The figure has been attached here

Quadrilateral A'B'C'D' is the image ofquadrilateral ABCD under a dilation with a scalefactor of 3. What

Geometry I need help

Geometry I need help
Geometry I need help

Answers

Figure O is reflected followed by a translation of 4 units in the left direction.

Given that:

Figure O and Figure P are shown on the graph.

The translation does not change the shape and size of the geometry. But changes the location.

Figure O is translated leftward by 4 units.

The reflection does not change the shape and size of the geometry. But flipped the image. A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersect the line of reflection at a right angle.

The translated figure O is reflected across the x-axis.

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​-8/9 / -2/3 x -4 1/2

Answers

Answer:

- 14/3

Step-by-step explanation:

-8/9 * 3/-2 * -7/2

-24/-18 * -7/2

4/3*-7/2

-28/6

= - 14/3

Evaluate g(x) = 9x ^ 3 - x ^ 2 + 2 for g(2)

Answers

Answer:

g(x)=9x^3-x^2+2 for g(2)

Step-by-step explanation:

g(2)=9.2^3-2^2+2

=18^3-2^2+2

=18^1^4

=18^4

=104,976

8. Given AABC~AEDC
What is the value of x?
C. 30
D. 20
A. 15
B. 12
A
E
60
X
C
D
10
40
B

Answers

Answer:

790

Step-by-step explanation:

7098uuilu4645

Draw the net and calculate the surface area .

Draw the net and calculate the surface area .

Answers

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Henry's savings account has an APR of 3.65%, calculates interest daily, and
pays interest at the end of the month. If during the month of November, his
balance was $300 for the first 10 days of the month, $1200 for the next 10
days of the month, and $800 for the last 10 days of the month, how much
total interest did Henry earn in November?

Answers

To calculate the total interest earned by Henry in November, we need to calculate the interest earned on each of the three balances and then add them up.

First, we need to calculate the daily interest rate:

Daily interest rate = APR / 365 = 0.0365 / 365 = 0.0001

For the first 10 days, the interest earned on $300 is:

Interest = Principal x Daily interest rate x Time
Time = 10 days
Interest = 300 x 0.0001 x 10 = $0.30

For the next 10 days, the interest earned on $1200 is:

Interest = Principal x Daily interest rate x Time
Time = 10 days
Interest = 1200 x 0.0001 x 10 = $1.20

For the last 10 days, the interest earned on $800 is:

Interest = Principal x Daily interest rate x Time
Time = 10 days
Interest = 800 x 0.0001 x 10 = $0.80

Therefore, the total interest earned by Henry in November is:

Total interest = $0.30 + $1.20 + $0.80 = $2.30

Therefore, Henry earned $2.30 interest in November.

what is the product of 4/9 and 1/11? 4/99 5/99 9/44 1/4​

Answers

Answer:

4/99

Step-by-step explanation:

Multiply the numerator and den0ominater, then stack them

Answer:

4/99

Step-by-step explanation:

4/9 * 1/11

Multiply the numerators

4*1 = 4

Multiply the denominators

9*11 = 99

numerator over denominator

4/99

Find the value of x for which line a is parallel to line b. 34 32 68 56

Answers

Answer

value of x is 34 degrees  

Step-by-step explanation:

Need help please help if you can with answers

Need help please help if you can with answers

Answers

a. The probability of spending less than 10 minutes is approximately 0.6255.

b. The probability of spending longer than 5 minutes is 0.9741.

c. The probability of spending between 8 and 15 minutes is 0.7181.

How to calculate the probability

(a) We'll use the z-score formula:

z = (x - μ) / σ

Plugging in the values:

z = (10 - 9.3) / 2.2 ≈ 0.3182

Now, we'll look up the cumulative probability corresponding to the z-score of 0.3182 in the standard normal distribution table or use a calculator. The cumulative probability is approximately 0.6255.

(b) To find the probability of spending longer than 5 minutes, we'll again use the z-score formula:

z = (x - μ) / σ

z = (5 - 9.3) / 2.2 ≈ -1.9545

Therefore, the probability of spending longer than 5 minutes is approximately 1 - 0.0259

= 0.9741.

(c) For 8 minutes:

z1 = (8 - 9.3) / 2.2 ≈ -0.5909

For 15 minutes:

z2 = (15 - 9.3) / 2.2 ≈ 2.5909

Next, we find the cumulative probabilities for these z-scores using a standard normal distribution table or a calculator. The cumulative probability for z1 ≈ 0.2776, and for z2 ≈ 0.9957.

Finally, we subtract the cumulative probability for 8 minutes from the cumulative probability for 15 minutes to get the probability between these two values:

0.9957 - 0.2776

≈ 0.7181

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(2x+1)(x^3+2x^2-3) I need this answer

Answers

Answer:

2^4+5^3+2^2−6−3

Step-by-step explanation:

Distribute, Combine like terms, Rearrange terms from most ^# to least- then -3

(2x+1)(x^3+2x^2-3) I need this answer
(2x+1)(x^3+2x^2-3) I need this answer
(2x+1)(x^3+2x^2-3) I need this answer

Answer:

= 2x⁴+5x³+2x²-6x-3

Step-by-step explanation:

(2x+1)(x³+2x²-3)

= (2x⁴+4x³-6x)+(x³+2x²-3)

= 2x⁴+4x³-6x+x³+2x²-3

= 2x⁴+5x³+2x²-6x-3

Drag and drop the relationships below to classify them as being a function or not a function?

Answers

A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.

Determine the domain of a piece wise function?

Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.

Determine the range of a piece wise function?

Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.

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Find the missing angle. Find x.

Find the missing angle. Find x.

Answers

20 because opposite angles are equal.

24. This week, Cristina eamed P594.65 from selling burgers for 35 days. How much he will earn in 5 days?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter. You got 88.75 for the first quiz, 85.5, 90.5, and 87.25 in the second, third and fourth quizzes, respectively. What is your average in the four quizzes this quarter?
A. 86.5
B. 88
C. 89.5
D. 90 26. Amberich put P580.00 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for one year in pesos and centavos?
A. P67.70
B. P37.70
C. P57.70
D. P17.70
24. This week , Cristina eamed P594.65 from selling burgers for 35 days . How much he will earn in 5 days ?
A. P84.95
B. P94.95
C. P104.95
D. P114.95
25. You have four quizzes in your math subject in a quarter . You got 88.75 for the first quiz , 85.5 , 90.5 , and 87.25 in the second , third and fourth quizzes , respectively . What is your average in the four quizzes this quarter ?
A. 86.5
B. 88
C. 89.5
D. 90
26. Amberich put P580.00 into a savings account for one year . The rate of interest on the account was 6.5 % . How much was the interest for one year in pesos and centavos ?
A. P67.70
B. P37.70
C. P57.70
D. P17.70​

Answers

Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

B. P37.70

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