Find the sum of ∑3k=1(k2−3).
A. 2
B.11
C. 3
D. 5

Answers

Answer 1
it’s C. 3
1. distribute the 1 to the k2 and -3
2. subtract k2 from both sides
3. divide 3k by -3
4.equals 3
Answer 2

The sum of the series is 5, the correct option is D.

What is a Geometric Series?

A sequence of numbers such that the consecutive term is increasing or decreasing by a fixed ratio is called a geometric series.

The summation of the series is obtained by the expression k²-1

For [tex]\sum_{1\to 3} k = k^2 -3[/tex]

By adding the terms of the series

The terms of the series from 1 to 3 is -2, 1, 6

On adding the terms

=>  -2 + 1 +6

= 5

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Related Questions

Sandy purchases her college books for the upcoming semester. She has to pay $98
for a biology book, $38 for a used poetry book, and $74 for a trigonometry
textbook. If the sales tax rate is 7.5%, how much tax will Sandy pay?

Answers

Step-by-step explanation:

98+38+74=210

210 divided by 100= 2.1

2.1 times 7.5= $15.75

Sandy will pay $15.75 dollars in tax

Answer:

15.75

Step-by-step explanation:

Without completing decide whether the value of each expression is on is much smaller than 1 close to 1 or much greater than 1

Answers

Answer:

Step-by-step explanation:

1) Larger

2) Less/Close

3) Less

4) Less

5)Less

6) Close

here is a tip if you need help with a question use

the mathhhhhh wayyyy

Ciana wants to buy a shirt that regularly cost 30$.It is on sale for 40$ off. How much is Ciana saving on the shirt?Please help ASAP

Answers

Answer:

I think you meant 40% off. If so...

Step-by-step explanation:

First, you have to turn 40 into a decimal - .40.

Then you multiply 30*.40 and get 12.

Subtract 12 from 30 since you are saving 12 dollars.

This means you spend $18 and saved $12.

So, your final answer would be $12.

Hope this helps :)

It’s the same as what the guy above me said

11)
linear function
ху
94
30
-3
-4
-9-8
The values in the table represent a linear function. How does the value of y change in relation to a change in the
value of x?
A)
for every change in x by -6, y changes by 4
B)
for every change in x by 6, y changes by -4
for every change in x by -4, y changes by-6
D)
for every change in x by-6, y changes by -4

Answers

Answer:

For every change in x by -6, there is a corresponding change in y by -4

Step-by-step explanation:

Given

x ---- y

9 --- 4

3 --- 0

-3 -- -4

-9 -- -8

Required

Determine the rate of change

To do this, we simply get an expression for the slope.

Take any two corresponding x and y values.

[tex](x_1,y_1)= (9,4)[/tex]

[tex](x_2,y_2)= (3,0)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

This gives:

[tex]m = \frac{0 - 4}{3 - 9}[/tex]

[tex]m = \frac{- 4}{-6}[/tex]

This can then be represented as:

[tex]\frac{y_2 - y_1}{x_2 - x_1} = \frac{- 4}{-6}[/tex]

It means that:

For every change in x by -6, there is a corresponding change in y by -4

List the numbers of any angles that are congruent to the given angle

Answers

Answer:

3 4 and 5

Step-by-step explanation:

The two lines are equal so 3 = 95 and 5 is opposite of 95 and 4 is opposite of 3.

given the parralegram find the measure of

Answers

Answer:

can i  get a picture??-

Step-by-step explanation:

Tv= $350 discount = 25%

Answers

The answer is 262.5

Carlos is shopping for school supplies. He bought a pencil box for $3, and he also needs to buy notebooks. Each notebook is $2. Let represent the total cost of the supplies and be the number of notebooks Carlos buys.

1) Determine which variable is independent and which is dependent.

2) Write an equation that models the situation.
please help me this is due today

Answers

Answer: y = 2x + 3, The notebooks are independent and the total price is dependent.

What is the value of (-1/2)^-4?
O-16
1/16
1/16
O 16

Answers

Hmmm 16 pretty sure

Answer: answer is 16

Step-by-step explanation:

Got it right on edge

The measure of is 150°. What is the value of ?


30°
90°
120°
210°

Answers

it is 120 value...............................

Find the unit rate. 75 minutes for 3 assignments

Answers

Answer:

25 minutes per assignments

Step-by-step explanation:

you just divide 75 but 3 to know how much it take to do one assignment

4) Alen has been saving for a video game. Last year it cost $28. This year it
Costs $36. Find the percent of change in the cost, round to the nearest
Whole percent

Answers

Answer:

15% i think

Step-by-step explanation:

I HOPE ITS HELP

Which description best compares the graphs of the two functions below I ready

Answers

Answer:

Some of your pic is cut off so it's difficult to give the exact answer.  But if you plot the points from the table you get that the equation for that set of data is linear and is y = 1/3x -2.  This tells me that the y-intercepts are the same for both equations, so your answer is not the first or the third.  Because the slope of the function A is 3 and for B is 1/3, the line for function A is steeper, the second of your choices above.

Y=3x-1 is dilated by a scale factor of 4 and center at the origin what is the equation that represents the image of the line after the dilation

Answers

Answer: x=1/3y+1/3

Step-by-step explanation: Step 1: Flip the equation. 3x−1=y Step 2: Add 1 to both sides. 3x−1+1=y+1/3x=y+1 Step 3: Divide both sides by 3. 3x/3 = y+1/3 x= 1/3 y+ 1/3

Help with this please!!!!!

Answers

Gh is a half of DF because it is a midline
2(3x-4)=9x-59
6x-8=9x-59
3x=51
X=17

In the given figure ΔEGH ≈ ΔEDF (similar triangle) thus, the measure of the GH will be 47.

What is symmetry?

If two figures look an exact shape but their size could be small or big then both figures are called similar figures.

For example, a square with a side of 10 cm and another with a side of 20 cm both square will be similar.

When anything has identical pieces facing one another or revolving around an axis, it is said to be symmetrical.

The given triangles ΔEGH ≈ ΔEDF therefore, the ratio of the corresponding sides must be the same.

EH/EF = GH/DF

EH/(EH + HF) = (3x - 4)/(9x - 59)

EH/(2EH) = (3x - 4)/(9x - 59)

1/2 = (3x - 4)/(9x - 59)

9x - 59 = 2(3x - 4)

9x - 59 = 6x - 8

9x - 6x = -8 + 59

3x = 51

x = 17

Therefore,GH = 3(17) - 4 = 47

Hence "In the given figure ΔEGH ≈ ΔEDF (similar triangle) thus, the measure of the GH will be 47".

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Two points, a and b, are graphed on the number line below. Maynard says there is not
enough information to write an inequality statement comparing a and b. Which statement
explains whether or not Maynard is correct?

Answers

Answer:b

Step-by-step explanation:

Maynard is incorrect on the number line a is to the left of b thus a < b can be represented thus option (A) is correct.

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given number line,

If a number is going to the left of a number line then it will become lower and lower.

Since a is on the left of b so a < b.

It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.

Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".

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Patrick is responsible for choosing the company his local community group will use for having T-shirts printed. He must choose between Initial Me and Monogram Mania. Both companies charge an initial set-up fee and then charge per T-shirt printed.

The graph shows the cost of purchasing T-shirts from Initial Me and the cost of purchasing T-shirts from Monogram Mania.

Which statements are true about Initial Me and Monogram Mania?

Select each correct answer.


Initial Me charges $8 per T-shirt printed.

The two companies will cost the same if 130 T-shirts are purchased.

Patrick should choose Initial Me because it will cost less regardless of the number of T-shirts printed.

Monogram Mania charges less per T-shirt printed than Initial Me charges.

The initial fee charged by Monogram Mania is $50.

The initial fee charged by Initial Me is $80.
























Give too the most brainlyist

Answers

Answer:

1. Initial Me charges $8 per T-shirt printed.

2. Monogram Mania charges less per T-shirt printed than Initial Me charges.

The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Two T-shirt brands Initial me and monogram mania

Clearly from the graph we can observe that the slope of monogram is not as steep as initial me which indicates that Monogram Mania charges less per T-shirt printed than Initial Me charges.

Hence, The answer is Monogram Mania charges less per T-shirt printed than Initial Me charges.

Learn more about linear equations here:

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Anybody can help with these 2 I would really appreciate it for my last grade

Answers

Answer:

575x.25=143.75   575-143.75=$431.25

21.95x.15=$3.29 tip total bill $25.24

Step-by-step explanation:

which equation has x=5 as the solution?
1. x + 15 = 10
2. 2x = 5
3. 2x = 10

Answers

Answer:

Number 3

Step-by-step explanation:

2 * 5 = 10

Answer: Answer 3

Step-by-step explanation:

2(5)=10

10=10

Benjamin correctly graphed the quadratic function y = -3x2 + 5. Which of these is true of Benjamin's graph? A. The graph of the function is a line. B. The graph has a vertex at (0, -5). C. The graph has a maximum value at (0, 5). D. The graph is much wider than the original parent function y = x2.

Answers

Its C the graph has a maximum value at (0,5)

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the quadratic function y = -3x² + 5:

The graph has the shape of a parabola with vertex (maximum value) at point (0, 5).

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A cookie factory makes 5 types of cookies. Each day,
the factory makes 610,298 of each type of cookie.
How many cookies does the factory make each day?

Plz help

Answers

Answer:

3,051,490 cookies/day

Step-by-step explanation:

Do 610,298 x 5

Answer:3,051,490

Step-by-step explanation:

They make 610,298 of each type of cookie. There are 5 different cookies. So there are 5 groups of 610,298. 610,298×5=3,051,490.

I hope I helped, have an awesome day!! :3

is the triangle congruent to triangle a? if so how?​

Answers

Answer:

Step-by-step explanation:

1 and triangle A is congruent by Angle Side Angle congruent.

2 and triangle A is congruent by Side Side Side congruent.

3 and triangle A is congruent by Angle Side Angle congruent.

Find the area of the trapezoid,
21 m
7 m
21 m
o
A. 1543.5 m
<
OB. 220.5 m?
C. 294 m?
O D. 588 m?
1. 014 Answered
Please help

Answers

Answer:

The answer is 294 which is C

Step-by-step explanation:

help me pls need help​

Answers

Answer:

I

Step-by-step explanation:

someone please help....
Asap ILL GIVE 20 points

Answers

Answer:

5Y+8

Step-by-step explanation:

Answer:5 y +40

Step-by-step explanation: you do 5 times y which is 5y and do 5 times 8 which is 40. And add them together.

Which statement is correct?
A 10 quarts > 2.5 gallons
B 10 quarts < 2.5 gallons
C 10 quarts = 2.5 gallons

Answers

Answer:

the answer is C

Step-by-step explanation:

2.5 gallons are equal to 10 quarts

Find a current example of a linear optimization model used in your industry. Describe the industry's needs, including any unique factors, how the linear optimization model was used, and the problem or challenge it addressed. Would you suggest a different model be used

Answers

Answer:

Follows are the explanation to the given question:

Step-by-step explanation:

Its determination of inventory amounts for various products. Its demand is an excellent illustration of a dynamic optimization model used in my businesses. Throughout this case, its store has restrictions within this room are limited. There are only 100 bottles of beverages to be sold, for instance, so there is a market restriction that no one can sell upwards of 50 plastic cups, 30 power beverages, and 40 nutritional cokes. Throughout this situation, these goods, even the maximum quantity supplied is 30, 18, and 28. The profit for each unit is $1, $1.4, and $0.8, etc. With each form of soft drink to also be calculated, a linear extra value is thus necessary.

PLZ HELP
-3/8 divided by -1/4

Answers

-3/8 ÷ -1/4 = -3/8 *-4/1= 12/8 = 1 4/8, 1 1/2

If 5 candy bars weigh 40 ounces, what is the weight of 15 candy bars in
ounces

Answers

Answer:

Try 120

Step-by-step explanation:

5 times 8 equal 40

15 times 8=  120

-2 1/4 divided by (-1 1/2)

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1 1/2

Step-by-step explanation:

-2 1/4 = [tex]-\frac{(2*4)+1}{4}= -\frac{9}{4}[/tex]

-1 1/2 = [tex]-\frac{(1*2)+1}{2}=-\frac{3}{2}[/tex]

-2  1/4 ÷ -1 1/2 = [tex]-\frac{9}{4} * -\frac{2}{3}[/tex]

                      = [tex]\frac{3}{2}[/tex]

                     = 1 1/2

Use KCF method

Keep the first number.

Change division to multiplication

Flip the second number

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