for a certain sequence of numbers the sum of the first n numbers in the sequence is given by n^3 + 4n for all positive integers n. what is the tenth number in the sequence

Answer:

the hypotenuse(b) is 50 if that helps

Step-by-step explanation:

a=40 & c=30 if you square these two numbers, add them and find the square root you get the hypotenuse(a^2+b^2=the square root of c^2)

Answer:

I am pretty sure it is the square root of 626

Step-by-step explanation:

Answer:

8 ft

Step-by-step explanation:

Use pythagorean theorem. [tex]a^{2}+b^{2}=c^{2}[/tex]. Put 10 and 6 into the equation as b and c.

[tex]a^{2}+6^{2}=10^{2}[/tex]

[tex]a^{2} =100-36\\a^{2}=64\\a=8[/tex]

Therefore, the answer is 8ft.

A diagram is attached. Sorry it's kinda messy.

Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The height of the window from the ground or the base of the building is 8 feet.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

Given the length of the ladder is 10 feet, while the distance between the base of the ladder and the building is 6 feet. Therefore, the height of the window from the base is,

(Length of the ladder)² = (Length between the two)² + (Height)²

(10 feet)² = (6 feet)² + (Height)²

(Height)² = 100 - 36

Height = 8 feet

hence, the height of the window from the ground or the base of the building is 8 feet.

Learn more about Pythagoras' Theorem:

https://brainly.com/question/14461977

#SPJ2

Answer:

4n

Step-by-step explanation:

Answer:

The 4th choice

Step-by-step explanation:

    To figure this out you would have to just lug in all of the numbers into the equation to find the correct answer.

    So first we would plug in the first number for a1 which will be -15. Then we would put in d or the common difference (the number of numbers in between the 2 numbers). So d in this case would be positive 4 since every single time the number is being added to 4.

    Now we can solve, so we would just find all of the choices that do not have  +4 because that will be wrong. Automatically you can see that choices 1 and 2 are wrong and 3 also looks wrong and the only one that matched our formula is 4 and 4 is the correct answer.

Answer:

0.1 = 1/10

0.64 = 64/ 100 = 16/25

0.7841 = 7841 / 10,000

0.67 = 67/100

0.53 = 53/100

0.26 = 26/100 = 13/50

0.6 = 6/10 = 3/5

0.42 = 42/100 = 21/50

Hope this helps you

Answer: 4

Step-by-step explanation:

Because the equation says at least 45, we know the sign is [tex]\leq[/tex].  Because she has already run 6 rounds, the equation must have + 6.

Hope it helps <3

Answer:

97,531+86,420=183,951

Step-by-step explanation:

Answer:

183,951

Step-by-step explanation:

Each of the 5 digit numbers would have to start with the two largest digits (9&8).  The next two digits would have to be the next two largest digits (7&6).  Continuing that pattern, we get:

97531+86420=183,951

Answer:

None. 0.

Step-by-step explanation:

To do this problem, we have to use common denominators. So we can do 3/5*3/3=9/15. Now we just add. 4/15 + 9/15 + 2/15 = 15/15 or 1. So there were none bushels left for Monday.

Answer: - l x+1 l + 1   remember l is the absolute value sign.

Step-by-step explanation:

We need to know that this is an absolute value function graph. So looking at the graph we could see that is is shifted vertical or up  by 1 and it has been shifted to the left by 1 units and it also opens down.

So we could represent that by the equation.

y =  -l x +1 l +1  

Answer:

250.72

Step-by-step explanation:

the first step to do is you imagine the semi-circle is a whole circle. Now since its a circle you can calculate the circumference by using the equation 3.14d. The diameter of the circle is 150.72 Now we can easily tell that their are two sides having a length of 50 meters. 50 +50 = 100. Now if we cut the circle and put the semi-circle back to its place, then it will have the same shape of the track. And finally when you add 150.72 + 100= you get 250.72.

Answer:

175.4

Step-by-step explanation:

50+50=100

Find circle perimeter with 12, because you have to use the radius not the diameter. Perimeter of circle= 75.4

100+75.4= 175.4

Answer:

A.) Option C

B.) Option A

Step-by-step explanation:

A.) Rita is delivering a pizza to Mark's house. We will assume she is starting from rest as She drives at a constant speed toward the house until she hits a traffic jam and has to stop for several minutes. On the graph, the line will be horizontal as she stop for some time.

After, she starts up again and drives at a faster speed than before. The slope of the latter will be greater than the former.

Since the graph is distance - time graph, the best graphical representation for this illustration is C

B.) The is a speed - time graph.

At constant speed, the graphical line will be horizontal. As Chau speed up, that means he accelerated and increased the speed. The slope of the line will be positive. And finally, as he slow down, the car will be decelerating. The slope of the graph will be negative.

The correct graphical representation for this illustration is A

Answer:

sure

Step-by-step explanation:    

I am bob and I work at a restaurant. I notice at 4 and 6 am 2 people come into the restaurant and at 7 and 8 pm 2 people come, but at 9 and 10 pm 8 people come in. So I graph the data and i find out that the graph is skewed to the right as most of the data points are more to the right/positive part of the graph

Answer:

Y=12x

If Y represents the Cost and X represents the number of books purchased.

WORD FORM:

Cost equals 12 times as many books that are purchased.

Answer:

Step-by-step explanation:

All School teachers

Answer:

All school teachers

Step-by-step explanation:

The other groups don't include teachers at all, so they definitely wouldn't be helpful for the survey that is only the teachers' preferences.

Hey there! I'm happy to help!

First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).

0.6×140=84

We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!

0.25×84=21

Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.

Have a wonderful day! :D

Answer:

The answer is C) 21

Step-by-step explanation:

I'm right, trust me :)

Answer:

incorrect

Step-by-step explanation:

We are multiplying exponents

Since the bases are the same, add the exponents

a^2 * a^-6 * a^6

a^ ( 2+-6 +6)

a^ (2)

This does not equal a^5

Answer:

no

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

Let's say the tens place is x and the ones place is y.

The tens place is one more than the one's place:

x = y + 1

Reversing the digits, plus the original number, is 187:

(10x + y) + (10y + x) = 187

11x + 11y = 187

x + y = 17

Substituting:

y + 1 + y = 17

2y = 16

y = 8

x = 9

The number is 98.

Answer:

3.4

Step-by-step explanation:

70cm +1.5m+1.20m

Since 70 is in cenimeters you have to convert it to meters

70cm=0.7m

So then you add them all up

0.7+1.5= 2.2

2.2+1.2= 3.4

So the answer is 3.4

Hope this helped!

Answer: $2.16

Lee watches TV 3 hours per day and TV consumes 200 watts.

Cost of electricity = 12 cents/(1-kilowatt-hour)

200w×3 hours

600 watt-hours

1000 watt-hours=1kwh

1 watt-hours= 1/1000 kwh

600 watt-hours 600/1000=0.6 kwh

0.6×12=7.2cents

1 day=7.2 cents

30 days

7.2×30

216 cents

$2.16

Answer:

The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.

Step-by-step explanation:

This problem ask us for the total cost associated with electricity consumption in a period of time. Hence, the total cost of energy is obtained by making appropriate conversions, that is:

Cost = Energy consumed x Time x Unit cost

[tex]C = (200\,W) \cdot (30\,days) \cdot \left(3\,\frac{h}{day} \right)\cdot \left(3600\,\frac{s}{h}\right) \cdot \left(\frac{1}{3600000} \,\frac{kWh}{J}\right)\cdot \left(0.12\,\frac{USD}{kWh} \right)[/tex]

[tex]C = 2.16\,USD[/tex]

The cost of operating a 200-Watt TV 3 hours per day for 30 days is 2.16 dollars.

Answer:

Step-by-step explanation:

6x-6=6x+15

or, -6+6x=15+6x

adding -6x in both sides

or,  -6 + 6x + -6x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0

or,   -6 + 0 = 15 + 6x + -6x

or,   -6 = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0

or,   -6 = 15 + 0

or,  -6 = 15

Solving

-6 = 15

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

x=7/4

Step-by-step explanation:

hope am correct

this is solved by collecting like terms

Answer:

see explanation

Step-by-step explanation:

GC = 11B + 1D

WS = 9B + 2D

Linear equations will point downward

Western Sizzlin is the best deal per person because in total it would be $11 and Golden Corral would be $12.

For this case, the first thing we should do is define the variable.

Step-by-step explanation:

b: number of bird baths

She sells them for 55% more then she paid.

Therefore, the sale price is given by:

12b+0.55(12b)

Rewriting we have:

1.55(12b)

Answer:

The selling price for b is 1.55(12b)

Answer:

C

Step-by-step explanation:

25*0.99 = 24.75

Answer:

C

Step-by-step explanation:

Im taking the test

Answer:

Step-by-step explanation:

Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?

and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?

Answer:

c

Step-by-step explanation:

Answer:

[tex]6x^2 - 6x + 5[/tex]

Step-by-step explanation:

Given

List of Options

Required

Which of the options has a degree of 2

The general format of a polynomial is

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

Where n represents the degree

In this case;

n = 2

Substitute 2 for n in expression above;

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]

[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]

[tex]ax^2 + bx + c *1[/tex]

[tex]ax^2 + bx + c[/tex]

Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]

Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]

Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]

Answer:

6x^2-6x+5

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

The triangle ABC is a right triangle so we will use the Pythagorian theorem

c^2 =5^2 + 8^2

c^2 = 25 + 64

c^2 = 89

c = 9.43

We khow that the sum of a triangle's angles is 180°

So B+90+58= 180

B+ 148 = 180

B = 180-148

B = 32°

■■■■■■■■■■■■■■■■■■■■■■■■■■

Tan A = opposite/ adjacent

Tan A = 5/12

Answer: The answer is the picture shown below

Step-by-step explanation:

To do this you will need to make a coordinate plane about 20 up and 20 down. So there is a formula that is y=mx+b which is called the slope intercept form and as you can see the problem given to you was already given in this formula. The variable m in the equation is the slope and slope is also known as rise (which basically means go up if positive and down if negative) over run (which is right if positive and left if negative) and as you can see in the equation the number 4/5 is the variable m. Since slope is rise over run 4 would be the rise and 5 would be the run, so you would go up 4 and right 5 because they are both positive. Now there is another variable that is b which would be the -1. In slope intercept formula b is the y intercept so -1 is where the line would cross the y axis. Now that you know all the parts to the slope you can put it together giving you the answer.

Answer:

Step-by-step explanation:

[tex]y=\dfrac{4}{5}x-1[/tex]

This is an equation for a line in the slope-intercept form.

For the straight line we only need two points on the coordinate plane.

Choose two x values. Place them in the equation and calculate the y values.

For x = 0:

[tex]y=\dfrac{4}{5}(0)-1=0-1=-1\to(0,\ -1)[/tex]

For x = 5:

[tex]y=\dfrac{4}{5}(5)-1=4-1=3\to(5;\ 3)[/tex]

Mark points on the coordinate plane and draw a line through these points.

Answer:

C. Team Y’s scores have a lower mean value.

Step-by-step explanation:

We are given that Two soccer teams play 8 games in their season. The number of goals each team scored per game is listed below:

Team X: 11, 3, 0, 0, 2, 0, 6, 4

Team Y: 4, 2, 0, 3, 2, 1, 6, 4

Firstly, we will calculate the mean, median, range and inter-quartile range for Team X;

Mean of Team X data is given by the following formula;

        Mean, [tex]\bar X[/tex] =  [tex]\frac{\sum X}{n}[/tex]

                       =  [tex]\frac{11+ 3+ 0+ 0+ 2+ 0+ 6+ 4}{8}[/tex]  =  [tex]\frac{26}{8}[/tex]  = 3.25

So, the mean of Team X's scores is 3.25.

Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.

Team X: 0, 0, 0, 2, 3, 4, 6, 11

                         Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                         Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations is even, i.e. n = 8.

So, Median =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{2+3}{2}[/tex]  = 2.5

So, the median of Team X's score is 2.5.

Now, the range is calculated as the difference between the highest and the lowest value in our data.

               Range = Highest value - Lowest value

                           = 11 - 0 = 11

So, the range of Team X's score is 11.

Now, the inter-quartile range of the data is given by;

        Inter-quartile range = [tex]Q_3-Q_1[/tex]

[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](2.25 )^{th} \text{ obs.}[/tex]

[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]

     =  0 + 0.25[0 - 0] = 0

[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](6.75 )^{th} \text{ obs.}[/tex]

[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]

     =  4 + 0.75[6 - 4] = 5.5

So, the inter-quartile range of Team X's score is (5.5 - 0) = 5.5.

Now, we will calculate the mean, median, range and inter-quartile range for Team Y;

Mean of Team Y data is given by the following formula;

        Mean, [tex]\bar Y[/tex] =  [tex]\frac{\sum Y}{n}[/tex]

                       =  [tex]\frac{4+ 2+ 0+ 3+ 2+ 1+ 6+ 4}{8}[/tex]  =  [tex]\frac{22}{8}[/tex]  = 2.75

So, the mean of Team Y's scores is 2.75.

Now, for calculating the median; we have to arrange the data in ascending order and then observe that the number of observations (n) in the data is even or odd.

Team Y: 0, 1, 2, 2, 3, 4, 4, 6

                         Median  =  [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]

                         Median  =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

Here, the number of observations is even, i.e. n = 8.

So, Median =  [tex]\frac{(\frac{n}{2})^{th} \text{ obs.} +(\frac{n}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(\frac{8}{2})^{th} \text{ obs.} +(\frac{8}{2}+1)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{(4)^{th} \text{ obs.} +(5)^{th} \text{ obs.} }{2}[/tex]

                   =  [tex]\frac{2+3}{2}[/tex]  = 2.5

So, the median of Team Y's score is 2.5.

Now, the range is calculated as the difference between the highest and the lowest value in our data.

               Range = Highest value - Lowest value

                           = 6 - 0 = 6

So, the range of Team Y's score is 6.

Now, the inter-quartile range of the data is given by;

        Inter-quartile range = [tex]Q_3-Q_1[/tex]

[tex]Q_1=(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](2.25 )^{th} \text{ obs.}[/tex]

[tex]Q_1 = 2^{nd} \text{ obs.} + 0.25[ 3^{rd} \text{ obs.} -2^{nd} \text{ obs.} ][/tex]

     =  1 + 0.25[2 - 1] = 1.25

[tex]Q_3=3(\frac{n+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex]3(\frac{8+1}{4} )^{th} \text{ obs.}[/tex]

     =  [tex](6.75 )^{th} \text{ obs.}[/tex]

[tex]Q_3 = 6^{th} \text{ obs.} + 0.75[ 7^{th} \text{ obs.} -6^{th} \text{ obs.} ][/tex]

     =  4 + 0.75[4 - 4] = 4

So, the inter-quartile range of Team Y's score is (4 - 1.25) = 2.75.

Hence, the correct statement is:

C. Team Y’s scores have a lower mean value.

Answer:

D. Can’t be determined

Step-by-step explanation:

There is no relationship.

Answer: can’t be determined

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

Answer:

X=12 BD=10

Step-by-step explanation:

See Above