What is the sum of the first ten terms of the sequence 4, -12, 36, -144 ...?

Answers

Answer 1

Answer:

−19810916

Step-by-step explanation:

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What Is The Sum Of The First Ten Terms Of The Sequence 4, -12, 36, -144 ...?
Answer 2
Final answer:

The sequence given is a geometric sequence with a common ratio of -3. The sum of the first ten terms of the sequence is calculated using the formula for the sum of a geometric series to be -236196.

Explanation:

The sequence given, 4, -12, 36, -144, ..., is actually a geometric sequence. In a geometric sequence, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In this sequence, the common ratio is -3.

To find the sum of the first n terms in a geometric sequence, we use the formula: S_n = a(1 - r^n) / (1 - r), where S_n is the sum of the first n terms, a is the first term in the sequence, r is the common ratio, and n is the number of terms.

If we insert our values into formula, we get: S_10 = 4*(1 - (-3)^10) / (1 - (-3)), which results in S_10 = -236196.

So, the sum of the first ten terms of the sequence is -236196.

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Related Questions

Write the expression: y divided by the quantity x minus 5.



HURRY PLEASE IM IN CLASS THANKS

Answers

Answer:

please mark me brainiliest

y/x-5

Step-by-step explanation:

Answer: y ÷ x -5

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

"y" is a variable that is divided by the quantity "x" (also a variable) minus 5 (subtraction).

Mathematically speaking:

y ÷ x -5

In conclusion, the expression is y ÷ x -5

Feel free to ask for more if needed or if you did not understand something.

What is the measure of YOZ given that WX =YZ

Answers

Answer: The answer is B - 95.

Answer: A. [tex]=105^{\circ}[/tex]

Step-by-step explanation:

Given: Circle with center O , having two congruent arcs as :-

[tex]\overarc{WX}\cong\overarc{YZ}\\\\\angle{XOW}=105^{\circ}[/tex]

We know that " If two arcs of a circle are congruent then their corresponding central angles are congruent".

[tex]\angle{XOW}\cong\angle{YOZ}\\\\\Rightarrow\ \angle{YOZ}=105^{\circ}[/tex]

Hence, the measure of [tex]\angle{YOZ}=105^{\circ}[/tex].

In the following system of equations, determine whether the system has a unique
infinitely many solutions or no solution.
2x +3y =7,
6x + 5y =
11

Answers

Answer:

the system has a unique solution

Step-by-step explanation:

Start with an equation of a line in standard form,

[tex] ax + by = c [/tex]

Solve it for y to put it into the slope-intercept form:

[tex] by = -ax + c [/tex]

[tex] y = -\dfrac{a}{b}x + \dfrac{c}{b} [/tex]

The slope is -a/b.

Now look at your system of equations. The slope of the first equation is -a/b = -2/3. The slope of the second equation is -a/b = -6/5.

You have a system of two linear equations with two lines with different slopes, so the lines must intersect at a single point.

Answer: the system has a unique solution

what's the answer to this question

Answers

If you are trying to ask for the volume of the two rectangular prisms, you can multiply 9m × 10m × 16m and get 1440m^3(meters cubed) for prism A, and multiply 6m × 5m × 3m to get 90m^3

then you add the two together and get

1530m^3 (meters cubed)

A bottlenose dolphin is 10 feet below sea level. Then it begins to dive at a rate of 9 feet per second. What is the equation of the line that represents its elevation, y, after x seconds?

A.
y = 9x − 10
B.
y = -9x − 10
C.
y = 9x + 10
D.
y = -9x + 10

Answers

Diving means it is moving down so it would be a negative value.

You would need to multiply the rate by the number of seconds it dives, so you would have -9x for that part.

The dolphin started at 10 feet below sea level which would be written as -10.

To find the elevation you would need to add both parts together, which would give you:

y = -9x -10

The answer is B.

Answer:

the answer is b :)

Step-by-step explanation:

use 3.14 for pi to estimate the area of a circle if the diameter is given 28.2m round the answer to the nearest hundredth if necessary

Answers

Answer:

= 624.26 m²

Step-by-step explanation:

The area of a circle is given by the formula;

A = πr² ; where r is the radius

Radius = 1/2 diameter

   = 3.14 × 14.1 ×14.1

   = 624.26 m²

Final answer:

To estimate the area of a circle with a diameter of 28.2m, calculate the radius (14.1m), then use the formula A = πr² with pi as 3.14 to get an area of approximately 624.33 m² after rounding to the nearest hundredth.

Explanation:

To estimate the area of a circle with a given diameter of 28.2m, we first need to calculate the radius, which would be half of the diameter. Thus, the radius (r) is 28.2m / 2 = 14.1m.

Next, we use the formula for the area of a circle, which is A = πr². Plugging in the numbers, we get A = (3.14)×(14.1m)².

Carrying out the multiplication, we have A = 3.14 × 198.81m² = 624.3254m². We round this result to the nearest hundredth to get 624.33 m² as the estimated area of the circle using 3.14 for pi.

Last month, 17 people showed up to help a local charity. This month, 55 people volunteered. What is the percentage increase?

Answers

Step-by-step explanation:

The formula for percent change is

change/original.

So let's subtract 17 from 55 to find the change. 55-17=38

This is the change. Now we divide it by the original, 17.

38/17=2.235294

We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is

about 223.53 percent

You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 5 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from. If you randomly choose your character and tool, what is the probability that you'll be a magic self?

Answers

Answer: 8/15

Step-by-step explanation:

Final answer:

There are 15 total combinations of characters and defense tools in this game. If you randomly choose your character and tool, the probability that you will be a magic user, a user of one of the five tools, is 1 out of 15 or 0.0667.

Explanation:

In this game scenario, the total number of different combinations that can occur when you randomly choose your character and tool is equal to the product of the number of choices for each. We have 3 choices for characters (elf, hobbit, human) and 5 choices for defense tools (magic, sword, shield, slingshot, umbrella). Therefore, the total different combinations are 3*5 = 15. The question asks for the probability that you'll be a magic user, irrespective of the character. Since magic is one of the 5 defense tools, then, there is 1 favorable outcome that we are considering.

The number of favorable outcomes by the total number of possible outcomes is known as the probability of an event. So, we have 1 favorable outcome and 15 total outcomes. Therefore, the probability is 1/15 or approximately 0.0667.

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2. Which is a disadvantage of purchasing and owning a home?
A.An individual assumes all responsibility for maintenance and repair of owned property.
B.An individual has more freedom and choice for owned property than rented lodging.
C.An individual pays less in property taxes as a homeowner than a renter.
D.An individual builds equity by owning a home.

3. Use the table to answer the question.
The table shows the Final Settlement Statement for the purchase of a home.
How much cash did the borrower pay upfront?
A.$605.36
B.$3,491.04
C.$25,985.68
D.$95,505.36

4. Use the table to answer the question.
The table shows the Final Settlement Statement for the purchase of a home.
What amount goes in line 8?
A.$120,440.04
B.$121,491.04
C.$123,909.44
D.$125,882.47

Answers

2. Which is a disadvantage of purchasing and owning a home?

A. An individual assumes all responsibility for maintenance and repair of owned property.

3. How much cash did the borrower pay upfront?

D.$95,505.36   (500 + 94400 + 605.36)

4. What amount goes in line 8?

B.$121,491.04    (95505.36 + 25985.68)

Final answer:

The main disadvantage of home-ownership is that the individual is responsible for all maintenance and repair costs. As for the borrower's upfront payment and the amount in line 8 on the Final Settlement Statement, these would be specified in the settlement statement and cannot be precisely determined without such information.

Explanation:

2. The main disadvantage of purchasing and owning a home is: A. An individual assumes all responsibility for maintenance and repair of owned property. This can be expensive and time-consuming, especially if the property is older or requires frequent repairs.

3 & 4. Without the table showing the Final Settlement Statement for the purchase of a home, it would be impossible to indicate precise answers to questions 3 and 4 related to upfront cash paid by the borrower, and the amount going in line 8. These values are calculated based on several variables, which should be tabulated clearly in the Final Settlement Statement.

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x - y = 3 x + y = 5 Which of the following systems is equivalent to the given system? 2x - y = 18 and x + 2y = 10 4x - 3y = 18 and x + 2y = 10 2x - 3y = 3 and x + 2y = 5

Answers

Final answer:

The equivalent system to given equations is: 2x - y = 3 and x + 2y = 5. We assess this by finding the solution of the given system (x = 4, y =1) and verifying these values in all given options.

Explanation:

The given system is: x - y = 3 and x + y = 5. To find an equivalent system, we need to find a system that has the same solution as the given one.

If we add these two equations, we have 2x = 8, so x = 4. If x = 4, we can put x = 4 into the second equation 4 + y = 5, hence y = 1.

Now we test these solutions in the given options. After testing, we find that the equivalent system is: 2x - y = 3 and x + 2y = 5.

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maria earned $42 for 6 hours of work .how much will she get for 15 hours of work ?​

Answers

Answer: 105

Step-by-step explanation:

6 hours

7 x 6 = 42

15 hours

7 x 15 = 105

Answer:

105

Step-by-step explanation:

If she works 7 days a week than you get 7 x 15 witch = 105

What is the slope of the line represented by the equation
3
x
+
4
y
=8

Answers

Answer:

Step-by-step explanation:

3x + 4y = 8

 

4y = 8 - 3x

 

y = 2 - (3/4)x

 

So the slope of the given line is -(3/4).

Final answer:

The slope of the line represented by the equation 3x + 4y = 8 is -3/4. We found this by rearranging the equation into slope-intercept form, y = mx + b, and identifying the coefficient of x as the slope.

Explanation:

To find the slope of the line represented by the equation 3x + 4y = 8, we first need to rearrange the equation into the slope-intercept form, which is y = mx + b, where m represents the slope of the line, and b represents the y-intercept. Let's solve for y:

3x + 4y = 84y = -3x + 8y = (-3/4)x + 2

The slope-intercept form of the line is y = (-3/4)x + 2, so the slope is -3/4. This means for every increase of 1 on the horizontal axis (x), there is a decrease of 3/4 on the vertical axis (y).

1/8 x = 1/4 what is the value for x

Answers

Answer:

x=2

Step-by-step explanation:

We want to isolate x (get x by itself)

1/8 x = 1/4

Multiply each side by 8

8*1/8 x = 1/4 *8

x = 8/4

x = 2

Answer:

2

Step-by-step explanation:

To solve this equation for x, multiply both sides by 8.  This results in:

8(1/8)x = 8(1/4), or x = 2

I don’t get this lesson so might need help

Answers

Answer:  Choice C)  1.50 = 0.75b

====================================================

Explanation:

The variable b is the placeholder for the original price, aka price before discount.

We discount by 25% meaning we don't pay that 25% but instead pay the remaining 75%

Therefore the expression 0.75*b represents the final price after the discount. We're told this price is $1.50 so that is how I'm getting the answer to be 1.50 = 0.75b

----------------------------

Extra info:

To solve this equation for b, you would divide both sides by 0.75 to undo the multiplication that is happening.

1.50 = 0.75b

1.50/0.75 = 0.75b/0.75 .... dividing both sides by 0.75

2.00 = b

b = 2.00

So the original price before discount was $2.00; note how 25% of this is 0.25*2.00 = 0.50 which is the amount we save and the amount we have left is 2.00 - 0.50 = 1.50 which is the proper price after discount we want.

1.........................simplify

Answers

Answer:

[tex]22-8\sqrt{5}[/tex]

Step-by-step explanation:

Since all the answer choices arent visible, i will directly give the answer.

We will use the distributive property in expanding, which is [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

So we have:

[tex](2\sqrt{5}-4 )(3\sqrt{5} +2)\\=(2\sqrt{5})(3\sqrt{5} )+2(2\sqrt{5} )-4(3\sqrt{5} )-4(2)\\=6\sqrt{5} \sqrt{5}+4\sqrt{5}-12\sqrt{5}-8\\=6(5)+4\sqrt{5}-12\sqrt{5}-8\\=30+4\sqrt{5}-12\sqrt{5}-8\\=22-8\sqrt{5}[/tex]

Note: we have used the radical property  [tex]\sqrt{a}\sqrt{a}=a[/tex] here

Answer:

22 - 8√5

Step-by-step explanation:

(2√5 - 4)(3√5 + 2)

= 2√5(3√5 + 2) - 4(3√5 + 2)

= 6√(5×5) + 4√5 - 12√5 - 8

= 6√25 + 4√5 - 12√5 - 8

=6×5 + 4√5 - 12√5 - 8

=30 - 8 + 4√5 - 12√5

= 22 - 8√5

The quadratic function y = –10x2 + 160x – 430 models a store’s daily profit (y) for selling a T-shirt priced at x dollars. What equation do you need to solve to find the selling price or prices that would generate $50 in daily profit? What method would you use to solve the equation? Justify your choice.

Answers

Answer:

EQUATION: [tex]x^2-16x+48=0[/tex]

METHOD: Factorization.

The sellings prices are:

$4

$12

Step-by-step explanation:

You need to find the selling price or prices that would generate $50 in daily profit, then you need to substityte[tex]y=50[/tex] into the quadratic function:

[tex]50=-10x^2+160x-430[/tex]

Make the equation equal to zero:

[tex]-10x^2+160x-430-50=0\\-10x^2+160x-480=0[/tex]

 Simplify by dividing by -10, then you obtain the equation:

[tex]x^2-16x+48=0[/tex]

You can solve it with Factorization.

Choose two numbers whose sum is -16 and whose product is 48.

These would by -12 and -4.

Then:

[tex](x-12)(x-4)=0\\x_1=12\\x_2=4[/tex]

Answer:

Replace y in the equation with 50: (50 = -10x2 +160x - 430) Use factoring to solve the equation. After writing the equation in standard form and dividing each side by -10, it is easy to factor as 0 = (x - 4)(x - 12).

Mary invests £12000 in a savings account the account pays 1.5% compound interest per year work out the value of her investment after 2 years

Answers

Answer:

hey i did this on my quiz trust me

Step-by-step explanation

12,362.70 trust me i did this i just dont know exactly how to explain this

A rental car company is running two specials. Customers can pay $40 to rent a compact car for the first day plus $2 for each additional day, or they can rent the same car for $25 the first day and $5 for every additional day beyond that. Farid notices that, given the number of additional days he wants to rent the car for, the two specials are equivalent. How many additional days does Farid want?

Answers

Answer: 5

Step-by-step explanation:

The equation to solve this problem is 40 + 2x = 25 + 5x

Now, to solve for x you first need to subtract 25 from each side:

15 + 2x = 5x

Next, subtract 2x from each side:

15 = 3x

Finally, divide both sides by 3:

5 = x

Farid is renting the car for 5 additional days.

Farid wants to rent the car for 5 additional days.

Let's define the costs of the two specials and determine when they are equivalent. Let x represent the number of additional days Farid wants to rent the car.

For the first special, the cost is $40 for the first day and $2 for each additional day:

Cost 1 = 40 + 2x

For the second special, the cost is $25 for the first day and $5 for each additional day:

Cost 2 = 25 + 5x

We need to find the value of x where both costs are equal:

40 + 2x = 25 + 5x

Subtract 2x from both sides:

40 = 25 + 3x

Subtract 25 from both sides:

15 = 3x

Divide both sides by 3:

x = 5

Thus, Farid wants to rent the car for 5 additional days.

which of the following is a correct interpretation of the expression -7-(-11)

Answers

Answer:

(B) Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

They are negatives, but the -(-11) makes the 11 a positive.

Final answer:

The correct interpretation of the expression -7-(-11) is 4.

Explanation:

The expression -7-(-11) can be solved by following the rules of operations in mathematics, specifically the rules for subtracting negative numbers. To subtract a negative number, we can think of it as adding the positive number. So, -7 - (-11) becomes -7 + 11. Now, we can add the numbers: -7 + 11 = 4. Therefore, the correct interpretation of the expression -7-(-11) is 4.

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Need help with my precal please!

Answers

Answer:

y = 3x - 1

Step-by-step explanation

We manipulate the scatter plot feature in Ms. Excel then we simply add the linear trend line displaying the equation on the chart.

The excel output is attached below.

The relation exhibited by the data set is y = 3x - 1; given the value of x, the value of y is obtained by multiplying x by 3 and subtracting 1 from the result.

Please simplify picture beneath

Answers

3/5m^2n^3 is what I got

Answer:

3n³/5m²

Step-by-step explanation:

Given in the question an expression

3m^-2 / 5n^-3

we can separate them as

3 / 5  x m^-2 / n^-3

As we know the rule of negative exponents that any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power.

Here the negative exponents are -2 and -3

so, m^-2 =1 /m²

      n^-3 =1 /n³

3 / 5 x n³/ m²

rearranging

3n³/5m²

the circumference of a circle measures 11.27 Pi what is the measure of the diameter of this circle ​

Answers

Ans. 11.27

Here is how it goes:

Circumference= Pi(diameter)

C=Pi(d)

11.27 Pi= Pi(d)
-divide by Pi-

11.27= d

The answer should be 11.27


15) What is the volume of this rectangular prism?
A) 20 in3
B) 50 in3
C) 220 in3
D) 250 in3

Answers

Answer:The answer is A) 20 in3.

Step-by-step explanation:

Answer:the answer is 250 in3

Step-by-step explanation:

I took it on USA test prep

Two numbers have a product of 12 but their sum is -7. What are the numbers?

Answers

Answer:

-4 and -3

Step-by-step explanation:

-4 + -3 = -7

-4 * -3 = 12

Negative times negative equals a positive.

Answer:

-3 and -4

Step-by-step explanation:

Two numbers have a product of 12 but their sum is -7

Answers are -3 and -4

Double check:

(-3) x (-4) = 12

and

(-3) + (-4) = -7

1 is 25% of what number

Answers

Answer:

4

25x4=100%

1x4=4

To solve the problem we must know about Percentage.

Part 1

25% of 4 is equal to 1.

Percentage

A percentage is a way to describe a part of a whole. such as the fraction [tex]\dfrac{1}{4}[/tex] can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Part 2

Given information,

1 is 25% of a number,

Assumption

Let's assume that the number is x.

Solution

We know that when the percentage symbol is removed the number is divided by 100. so,

25% = [tex]\bold{\dfrac{25}{100}}[/tex]

Dividing the numerator 25 And the denominator by 25,

25% = [tex]\bold{\dfrac{1}{4}}[/tex]

Now, to get a percentage of any number simply multiply the number by the fraction(or decimal) form of the percentage value. So, here we will multiply the number 'x' to [tex]\bold{\frac{1}{4}}[/tex] (fraction form of 25%) to get 1.

[tex]x \times 25\% = 1\\x \times \dfrac{1}{4} = 1\\\\x = 4[/tex]

Hence, 25% of 4 is equal to 1.

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PLEASEEEEEE HELPPPP ME

Answers

I understand you need help but what do you need help with

Use words to describe the relationship between corresponding number of hours and weeks

Answers

There are "40 hours per week."     [unit rate means "how many of these for one of those"]

 

Notice how units cancel when we use the Multiplicative Identity (that is 1 -- multiply any value by 1 and it does not change):

    1  =   (40 hours)/(1 week) = (1 week)/(40 hours)        [choose the value needed to cancel units]

 

  120 hours

  (120 hours) * 1

  (120 hours) * (1 week)/(40 hours)

  (120/40) weeks                      [hours cancel, leaving only weeks[

     3 weeks

 

 

    5 weeks

   (5 weeks) * 1

   (5 weeks ) * (40 hours)/(1 week)

    (5*40) hours                    [note that weeks cancel]

     200 hours

Final answer:

The relationship between hours and weeks indicates a direct linear relationship, where each week is equivalent to 40 hours.

Explanation:

The relationship between the corresponding number of hours and weeks from the given sequences {0, 40, 80, 120, 160, 200, 240, 280, 320} for hours and {0, 1, 2, 3, 4, 5, 6, 7, 8} for weeks indicates a linear relationship. For every 40 hours, one week passes, which suggests that each week consists of 40 hours in this context. This can be expressed by the linear equation hours = 40 × weeks

Therefore, the required relationship is linear

Sum of radical sign -2 and radical sign -18

Answers

Answer:

B

Step-by-step explanation:

Note that [tex]\sqrt{-1}[/tex] = i

[tex]\sqrt{-2}[/tex] = [tex]\sqrt{2(-1)}[/tex] = [tex]\sqrt{2}[/tex] i

[tex]\sqrt{-18}[/tex] = [tex]\sqrt{9(2)(-1)}[/tex] = 3[tex]\sqrt{2}[/tex] i

Thus the sum is

[tex]\sqrt{2}[/tex] i + 3[tex]\sqrt{2}[/tex] i = 4[tex]\sqrt{2}[/tex] i → B

four students each ate 1 1/2 cupcakes. How many cupcakes did they eat in all​

Answers

Multiply the number of cupcakes each by the number of people:

1 1/2 x 4 = 6 total cupcakes.

6 cupcakes.



4 * 1 1/2 = x

(4 * 1) + (4 * 1/2) = x

4 + 2 = x

6 = x



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Not a examni promise plz awnser i jeed help

Answers

If it is just babysitting and yard work, then the obvious answer is yard work. Of it has other answers, then it would be a camp counselor. Also, never say it's not an exam, it would make people suspicious.
It’s yard work because he’s working the least amount of hours and making more money then babysitting so he can make the 1000$ faster
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