(n-1)9. Expand11-11 + 2 + 3 + 4 + 5 + 60 + 1 + 2 + 3 + 4 + 5 + 60 + 1 + 2 + 3 +4 + 5AB(-1) + (-2) + (-3) + (-4) + (-5) + (-6)

(n-1)9. Expand11-11 + 2 + 3 + 4 + 5 + 60 + 1 + 2 + 3 + 4 + 5 + 60 + 1 + 2 + 3 +4 + 5AB(-1) + (-2) + (-3)

Answers

Answer 1

To expand the given summation, we proceed as follows:

[tex]\begin{gathered} \text{Given:} \\ \sum ^6_{n\mathop=1}(n-1) \\ \Rightarrow\text{ }\sum ^6_{n\mathop{=}1}(n)-\text{ }\sum ^6_{n\mathop{=}1}(1) \\ \text{Now:} \\ \sum ^6_{n\mathop{=}1}(n)\text{ is the sum of the first six natural numbers (1,2,3,4,5,6)} \\ \text{And:} \\ \sum ^6_{n\mathop{=}1}(1)\text{ is simply (6}\times1)--That\text{ is, the number 1 added to itself six times } \\ \text{Therefore, we have:} \\ \Rightarrow\text{ }\sum ^6_{n\mathop{=}1}(n)-\text{ }\sum ^6_{n\mathop{=}1}(1) \\ \Rightarrow(1+2+3+4+5+6)-(1+1+1+1+1+1) \\ \Rightarrow(1+2+3+4+5+6)-(6) \\ \Rightarrow(1+2+3+4+5) \\ \end{gathered}[/tex]

Therefore:

[tex]\sum ^6_{n\mathop{=}1}(n-1)\text{ = 1+2+3+4+5}[/tex]

So, the correct option is option C

This is because the sum: 0+1+2+3+4+5 gives the same value as the sum: 1+2+3+4+5


Related Questions

Transform 12 + 3y = 9 into an equivalent equation that is in slope-intercept form.A. y=3/4x - 1/4B. y=-4x+3C. y=4x-3D. y=-1/4x+3/4

Answers

Given:

[tex]12x+3y=9[/tex]

Find: Slope - intercept form.

Sol:

Slope - intercept form:

[tex]y=mx+c[/tex][tex]\begin{gathered} 12x+3y=9 \\ 3y=-12x+9 \\ y=\frac{-12}{3}x+\frac{9}{3} \\ y=-4x+3 \end{gathered}[/tex]

Slope intercept form of equation is:

[tex]y=-4x+3[/tex]

8Σ-(-2): -1-i=1Evaluate each geometric series described. (Find the total sum)

Answers

The given expression is

[tex]\sum ^8_{i\mathop=1}-(-2)^{i-1}[/tex]

To solve this, we just have to replace each value of the sum in the expression, then we sum. Let's do it

[tex]\begin{gathered} -(-2)^{1-1}=-1 \\ -(-2)^{2-1}=-(-2)^1=2 \\ -(-2)^{3-1}=-(-2)^2=-4 \\ -(-2)^{4-1}=-(-2)^3=8 \\ -(-2)^{5-1}=-(-2)^4=-16 \\ -(-2)^{6-1}=-(-2)^5=-(-32)=32 \\ -(-2)^{7-1}=-(-2)^6=-64 \\ -(-2)^{8-1}=-(-2)^7=-(-128)=128 \end{gathered}[/tex]

Now, we sum all these items

[tex]-1+2-4+8-16+32-64+128=85[/tex]Therefore, the total sum is 85.

Graph the line with the slope -3/4 passing through the point (5,2)

Answers

We need to first determine the expression of the line, for that we will use the point slope form, which is given below:

[tex]y-y_1=m\cdot(x-x_1)[/tex]

Where m is the slope and (x1, y1) are the coordinates of a known point on the line.

[tex]\begin{gathered} y-2=-\frac{3}{4}(x-5) \\ y=-\frac{3}{4}(x-5)+2 \\ y=-\frac{3}{4}x+\frac{15}{4}+2 \\ y=-\frac{3}{4}x+\frac{15+8}{4} \\ y=-\frac{3}{4}x+\frac{23}{4} \end{gathered}[/tex]

Now we need to graph it, for that we need two points. We already know the coordinates of one of them (5,2), now we need another, we can use the point for which x is equal to 0.

[tex]\begin{gathered} y=-\frac{3}{4}\cdot0+\frac{23}{4} \\ y=\frac{23}{4} \end{gathered}[/tex]

Now we have (0, 23/4). We need to draw a line that passes

Find the area of the isosceles triangle.

Answers

Check the picture below.

well, we know the triangle is an isosceles, so it has twin sides coming from the "vertex" down to the "base", running an angle bisector from the "vertex" will give us a perpendicular to the "base", let's find its height.

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2 - a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{13}\\ a=\stackrel{adjacent}{5}\\ b=\stackrel{opposite}{h}\\ \end{cases} \\\\\\ \sqrt{13^2 - 5^2}=h\implies 12=h[/tex]

so we simply need to get the area of a triangle whose base is 10 and height is 12.

[tex]A=\cfrac{1}{2}(\underset{b}{10})(\underset{h}{12})\implies \boxed{A=60}[/tex]

Suppose y varies directly with x when x is -2 y is 10 write the equation that relates x and y

Answers

The form of the equation of the direct proportional is

[tex]y=kx[/tex]

k is the constant of variation

We can find it from the initial values of x and y

Since at x = -2 y = 10, then

Substitute x by -2 and y by 10 to find k

[tex]\begin{gathered} x=-2,y=10 \\ 10=k(-2) \\ 10=-2k \end{gathered}[/tex]

Divide both sides by -2 to find k

[tex]\begin{gathered} \frac{10}{(-2)}=\frac{-2k}{(-2)} \\ -5=k \end{gathered}[/tex]

The value of k is -5

Then the equation is

[tex]y=-5x[/tex]

6. The budget for a new house can only afford 1/4 of the floor area to be done inceramic tile. The rest of the floor area will be carpeted. The size of the kitchen areahas not yet been determined. Not including the kitchen, the architect has alreadydesigned 2200 square feet of floor area, 15% of which has tile floors specified.What area, in square feet, can be planned for the kitchen if its entire floor area is tohave ceramic tile? Assume all values are ex

Answers

The budget of a new house can only afford 1/4 of the floor area

the total area of the floor is designed to be 2200 square feet

15% of the floor is tiled

let the budget be x

area to be done in ceramic tile is 1/4 x the total budget

1/4 * 2200 = 550

550 square feet area of the floor will be use for ceramic tiles alone

The hypotenuse of a right triangle is 6 meters long, and one leg is 2 meters long. How long is the other leg?

Answers

To find the leg, we have to use the Pythagorean's Theorem

[tex]c^2=a^2+b^2[/tex]

Where c = 6, a = 2.

[tex]\begin{gathered} 6^2=2^2+b^2 \\ b^2=6^2-2^2 \\ b=\sqrt[]{36-4} \\ b=\sqrt[]{32} \\ b\approx5.7 \end{gathered}[/tex]Hence, the other leg is 5.7 meters long.

Diego bought a new car for 26,525 he was surprised at the dealer than attitude thousand $387.25 what was the sales tax rate for this purchase do not include the percentage sign in your answer

Answers

2387.25 is the amount of tax

Take the original price and multiply by x to get the tax added

26525 * x = 2387.25

Divide each side by 26525

x = 2387.25/26525

x =.09

Change this to a percent form

.09 * 100%

x = 9 %

The sales tax percent 9 %

Question 15.I need help with this question to make sure that I have the right answer.my answer was number 2

Answers

Given the graph that shows the results of the survey, you know that it shows the results of 3 price surveys conducted at 4 area supermarkets in 3 months.

Notice that the white bar represents the results of September, the dashed bar represents the results in November and the black bar represents the results in March.

You can identify that on the x-axis are written the 4 area supermarkets and, on the y-axis are represented the prices in dollars.

Therefore, in order to identify the supermarket that lowered the price of the frozen beef dinners by the greatest dollar amount between September and November, you need to identify the supermarket that has the shortest dashed bars and white bars.

In this case, you can identify that the lowest price in September and November is:

[tex]\text{ \$}1.50[/tex]

And it corresponds to Warehouse.

Hence, the answer is: Option (2).

Kimberly and Clay leaves a concert hall at the same time, traveling in buses going opposite directions, Kimberly's bus tra els at 40mph and Clay's bus travels at 60mph. In how many hours will Kimberly and Clay be 350 miles apart?

Answers

let s1 and s2 be the distance covered by the two buses

s1 + s2 = 350 ................................eqn I

velocity (v) = distance (s)/time (t) .........................eqn II

from eqn II the velocity of the first bus, v1 = s1/t1

s1 = v1t1 .................................eqn III

velocity of the second bus, v2 = s2/t2

s2 = v2t2 ...........................eqn IV

substitute eqn III and eqn IV into eqn I

v1t1 + v2t2 = 350

the time taken for any two moving objects to simultaneously cover any distance is equal. Thus,

t1 = t2 = t

eqn V becomes

v1t + v2t = 350

t(v1 + v2) = 350

v1 = 40

v2 = 60

t(40 + 60) = 350

100t = 350

divide both sides by 100

100t/100 = 350/100

t = 3.5 hours

How to convert 9.4 degrees has feet and inches

Answers

Solution

[tex]9.4\text{degree --> inches}[/tex]

To convert degrees to inches you must multiply the width of the control surface in inches by the sine of the angle.

How to convert degrees to inches?

First, determine the control surface width.

Measure the control surface width in inches.

Next, determine the angle.

Measure the angle in degrees.

Finally, calculate the deflection.

Calculate the linear deflection in inches using the formula above.

[tex]9.4degree=3.72inches[/tex]

Kaylee has a bag of candy full of 15 strawberry chews and 5 cherry chews that she eatsone at a time. Which word or phrase describes the probability that she reaches inwithout looking and pulls out an orange chew?impossiblelikelySubmit Answeran equal chance or 50-50O unlikely

Answers

Given that:

- There are 15 strawberry chews in the bag.

- There are 5 cherry chews in the bag.

You know that there is no orange chew in Kaylee's bag. Therefore, knowing this, you can determine that the probability that Kaylee reaches in without looking and pulls out an orange chew is:

[tex]P=0[/tex]

By definition, the probability is zero when it is impossible for the events to happen.

Since there is no orange chew in her bag, it is impossible that she reaches in

without looking and pulls out an orange chew.

Hence, the answer is: Impossible.

Long divide 4x^4-3x^3+1 / x-5

Answers

We have the following division:

for this, we have to divide each remainder by x, and use the law of signs in reverse order. The division will look like this:

Therefore, the result of the division is:

[tex]\frac{4x^4-3x+1}{x-5}=4x^3+17x^2+85x+425+\frac{2126}{x-5}[/tex]

Will give brainlist PLEASE HELP ASAP!!!! If it says college math, that's false.
The graph below represents the money collected at the skating rink on Friday. Find the domain when the maximum number of people allowed in the skating rink is 75 people.
A=0 ≤ x ≤ 75
B= 20 ≤ y ≤ 320
C= 0 ≤ y ≤ 75
D= 20 ≤ x ≤ 320

Answers

Answer:

A is correct.

0 < x < 75 represents the correct domain.

What Values of x make two expressions below equal?(X+3)(x+8) = x+3————— —— 5(x+8) 5

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

CONCLUSION:

The final answer is:

( OPTION C )

5) Solve for x:X - 7.5 = 186) Solve for x:45x = 14.5

Answers

We have the following:

5)

[tex]x-7.5=18[/tex]

solving for x:

[tex]\begin{gathered} \text{let's add 7.5 on each side} \\ x-7.5+7.5=18+7.5 \\ x=25.5 \end{gathered}[/tex]

6)

[tex]\begin{gathered} 45x=14.5 \\ \\ \end{gathered}[/tex]

solving for x:

[tex]\begin{gathered} \text{ divide on each side by 45} \\ x=\frac{14.5}{45} \\ x=0.32 \end{gathered}[/tex]

Estimate 71.91-56.423 by first rounding each number to the nearest whole number.​

Answers

Answer:

16

Step-by-step explanation:

71.91 ~ 72

56.423 ~ 56

72-56=16

The parent function of the function g(x) = (x-h)² + k is f(x) = x2. The vertex of the function g(x) is located at (9,-8).
What are the values of h and k?
g(x) = (x-
².

Answers

Answer:

The values of h and k are 9 and -8, respectively

Step-by-step explanation:

This is how to determine the values of h and k

The vertex of the function g(x) is located at (9, –8)

The vertex of a function is represented as:

Vertex = (h,k)

This means that:

(h,k) = (9,-8)

By comparison, we have:

h = 9 and k = -8

So, the values of h and k are 9 and -8, respectively

Stephanie and two friends want to Vancouver for a winter weekend Stephanie May 7 cups of apple cider everyone includes Stephanie wants an equal amount of all the the apple cider how much apple cider should each person get

Answers

Number of persons = 3

Number of cups of apple made is =7

Then the number of equal cider, everyone must have is:

[tex]\frac{7}{3}\text{ = 2}\frac{1}{3}\text{ cups of apple cider.}[/tex]

A firm uses trend projection and seasonal factors to simulate sales for a given time period.
It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales
rise a lot. The simulator generates the following output.
0102200123202022123122203002121
Estimate the probability that sales will rise at least moderately.

Answers

Answer:

3

Step-by-step explanation:

0+1=1-1+0+2=3-3+1+2+0-1=4

Describe and correct the error a student made in finding the average rate ofchange for f(x) = 0.5x2 over the interval - 4sxs - 2.

Answers

ANSWER:

STEP-BY-STEP EXPLANATION:

[tex]undefined[/tex]

need help with this problem

Answers

First option describes line e: Each point is less than 4 units from the y-axis.

The second option describes line f:

QuestionGetting selected as class secretary is A and having pizza for lunch is B. If these events are independent events, usingP(A) = 0.70, and P(B) = 0.67, what is P(AB)?

Answers

From the question, we have two events that do not affect each other. They seem independent events. The probability of occurring the two events at the same time is given by the formula:

[tex]P(A\cap B)=P(A)\cdot P(B)[/tex]

Then, since we have that P(A) = 0.70 and P(B) = 0.67, then, we have:

[tex]P(A\cap B)=0.70\cdot0.67=0.469[/tex]

Then, P(AB) = 0.469.

Enter the digit that can replace (blank box) 526 < 5 _ 5 < 541 The digit that fits in the gray box is ?

Answers

3

1) The number to be found, is a multiple of 5 and also greater than 526 but also lesser than 541.

2) So we have, the next number whose last digit is 5 immediately greater than 526 and lesser than 541 is 535

3) So 3 is the missing digit

Order the numbers form least to greatest 99.98, 100.1, 98.89, 100.01

Answers

Answer: 98.89, 99.98, 100.01, 100.1

Answer:
98.89 < 99.98 < 100.01 < 100.1

Hopes this helps!

Find the missing side cround to is inches 3 you x inches 1 10 inches

Answers

Given,

The measure of the hypotenuse is 15 inches.

The measure of the base is 10 inches.

The measure of the perpendicular is x inches.

By Pythagoras theorem,

[tex]\text{hypotenuse}^2=\text{perpendicular}^2+\text{base}^2[/tex]

Substituting the values then,

[tex]\begin{gathered} \text{hypotenuse}^2=\text{perpendicular}^2+\text{base}^2 \\ 15^2=x^2+10^2 \\ 225=x^2+100 \\ 225-100=x^2 \\ x=\sqrt[]{125} \\ x\approx11.18 \end{gathered}[/tex]

Two students, 100 meters apart on the same path, arewalking towards one other. Student A has a speed of 2meters each second; Student B has a speed of 3 meterseach second. Let's suppose they start to walk to eachother when t=0. How many seconds will it take for thestudents to bump into one another? Give your answer tothe nearest whole number

Answers

D = RT

Where

D is distance

R is speed

T is time

Distance of student 1:

[tex]D_1=2t[/tex]

Distance of student 2:

[tex]D_2=3t[/tex]

Now,

When they meet, their distance would total 100, so we can write:

[tex]D_1+D_2=100[/tex]

We can also write:

[tex]D_1=100-D_2[/tex]

Find the amount and the percent increase. Fill in the chart

Answers

Answer:

Amount of increase = 60

Percent of increase = 40%

Explanation:

The amount of increase is equal to the difference between the new amount and the original amount. So, it is equal to:

New amount - Original amount = 210 - 150 = 60

Then, the percent of the increase is equal to the amount of increase divided by the original amount, so:

Amount of increase/Original amount = 60/150 = 0.4

Therefore, the answers are:

Amount of increase = 60

Percent of increase = 0.4 = 40%

Telephone numbers are in the form NYZ-ABC-XXXX. the following restrictions were placed; N can only be numbers: 2-9; Y can only be numbers 0-7 and A&C cannot be 2. how many phone numbers are there?

Answers

Answer

The answer = 5,184,000,000

There are 5,184,000,000 possible phone numbers.

Explanation

The question told us that telephone numbers are in the form NYZ-ABC-XXXX, then proceeds to give us the restrictions on some of the positions available.

- N can only be numbers: 2-9;

- Y can only be numbers 0-7

- and A&C cannot be 2

We are then told to calculate the number of phone numbers possible.

This question is a special type of permutation and combination.

To solve it, it will be a multiplication of the possible numbers that can take up each position.

N, can only be numbers 2 to 9. Number of possible digits = 8

Y, can only be numbers 0 to 7. Number of possible digits = 8

Z, no restriction, can have numbers 0 to 9. Number of possible digits = 10

A, number cannot be 2. Number of possible digits = 9

B, no restriction, can have numbers 0 to 9. Number of possible digits = 10

C, number cannot be 2. Number of possible digits = 9

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

X, no restriction, can have numbers 0 to 9. Number of possible digits = 10

Total number of possible phone numbers

= 8 × 8 × 10 × 9 × 10 × 9 × 10 × 10 × 10 × 10

= 5,184,000,000

Hope this Helps!!!

What is the meaning of the slope of the equation in this context?

Answers

ANSWER

It is the cost for printing each DVD

EXPLANATION

We want to find out what the slope of the equation represents.

The equation given is a linear equation. The slope of a linear equation represents the rate at which the dependent variable changes with respect to the independent variable.

The independent variable is the number of DVDs while the dependent variable is the cost to make the DVDs.

Hence, the slope represents the cost of the DVDs per DVD. In other words, it represents the cost for printing each DVD.

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Write the system below in the form AX=B. Then solve the system by entering A and B into a graphing utility and computing Circle O shown below has a radius of 25 inches. To the nearest tenth of an inch,determine the length of the arc, x, subtended by an angle of 137. what is the percent composition of h and o in H2O2 WILL GIVE BRAINLIEST!!!! PLEASE HELP!!!!What is the name of the organic molecule modeled below?A - PropaneB - PropeneC - PropineD - Propyne 19. highlight where values show g(x) = 0 and what is the answer20. highlight where values show f(x) > g(x) and what is the answer Simplified What is the ratio of to ? = What is the ratio of A to ( +) ? Which statement about this figure is true ? it has rotational symmetry with an angle of 45. it has no reflectional symmetry. it has reflectional symmetry with one line of symmetry. it has point symmetry compare the wave shape of an alligators low-frequency mating call with the wave shape of a frogs high-frequency chorus. How are the shapes different PLEASE HELPBalance the chemical reactionusing an atom inventory.What is the coefficient foroxygen?4NH3 + ? O2 ---> ?NO + ? H2O f (x)=2^ x -10 and the domain of f(x) is the set of integers from 1 to 3which values are elements of the range of f(x) Select all that apply.a. -12b. -10c. -9d. -6e. -2 how long must $1000 be invested at an annual interest rate of 3% to earn $300 in sinple interest? Which word best describes the mood in Tiananmen Square? auneventful bcelebratory ctense dcurious Conner left his house and rode his bike into town at 6mph. Along the way he got a flat tire so he had to turn around and walk his bike to his house traveling 3 mph. If the trip down and back took 15 hours, how far did he get before his tire went flat?Conner went ___ miles before his tire went flat. When factored completely, which is a factor of 3x3 9x2 12x A. L(x 3) B. (x 4) C. (3x 1) D. A rock on the edge of a cliff has a 1500 J of potential energy. The rock falls 20 m tothe ground. What is the mass of the rock? What force will be exerted on the ground onimpact? In the figure, assume that angles that appear to be right angles are right angles.What is the area of the figure?Use 3.14 for .The approximate area is ___ square units.Use 3.14 for . when 14.12 moles of mercury (ll) oxide decomposes, how many moles of oxygen gas will form ? Lotsa Boats requires 75$ plus payment of 10$ an hour for each hour for which the boated is rented.Which equation could be used to find the number of hours h the johnsons rented the boat for if they paid 125$ need answer helpp. Find PR.Write your answer as an integer or as a decimal rounded to the nearest tenth. PR = ___ The diameter of a grain of sand measures at about 0.0046 inches, while the diameter of a dust particle measured at about 0.00005 inches. About how many times larger is the diameter of a grain of sand than a dust particle? Estimate the following problem using powers of 10.