if the nth term of a number sequence is n squared-3, find the first 3 terms and the 10th term

Answer:

The length is 5.

Step-by-step explanation:

Since the proportions are the same, 3 is 3 times less than 9. The same applies to 15, which 3 times less would be 5. It has a ratio of 3:5.

The piecewise function that describes what the instructor charges is; f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

Let x represent the number of participants and let y represent the charge per participant.

Now, y depends on x, and as such we can say that;

f(x) = y

For, 0 < x ≤ 10, the total charges is 500x,

f(x) = 500x , 0 < x ≤ 10

For 10 < x < 25, total charge is 400x,

f(x) = 400x , 10 < x < 25

For x ≥ 25, the total charge is 350

f(x) = 350x x ≥ 25

Therefore, we can say that;

f(x) = 500x , 0 < x ≤ 10

400x , 10 < x < 25

350x , x ≥ 25

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Write the piecewise function that describes what the instructor charges.

Answer:

x = 2

Step-by-step explanation:

Simplifying

90 = 10(x + 7)

Reorder the terms:

90 = 10(7 + x)

90 = (7 * 10 + x * 10)

90 = (70 + 10x)

Solving

90 = 70 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.

90 + -10x = 70 + 10x + -10x

Combine like terms: 10x + -10x = 0

90 + -10x = 70 + 0

90 + -10x = 70

Add '-90' to each side of the equation.

90 + -90 + -10x = 70 + -90

Combine like terms: 90 + -90 = 0

0 + -10x = 70 + -90

-10x = 70 + -90

Combine like terms: 70 + -90 = -20

-10x = -20

Divide each side by '-10'.

x = 2

Simplifying

x = 2

Answer:

180/7

Step-by-step explanation:

Direct variation:

y varies directly as k

y = kx

y varies directly as √x

y = k√x

We need to find k. We use the given data to find k.

y = 12 when x = 49

12 = k√49

12 = 7k

k = 12/7

The equation  of direct variation is

y = (12/7)√x

x = 225

y = (12/7)√225

y = (12/7)(15)

y = 180/7

The final altitude of the hiker 395 feet.

From the information, the hiker first hiked down into a canyon 1,345 feet below sea level and she then hiked 950 feet up the side of a mountain.

This will be:

= -1345 + 950

= 395

Therefore, the final altitude of the hiker 395 feet.

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Answer:

Step-by-step explanation:

3z2 − 4z + 103z2 −4z + 10

3z2  + − 4z+ 103z2 +− 4z + 10

3z2  +− 4z+ 103z2 + − 4z + 10

( 3z2  + 103z2 ) + ( −4z+−4z ) + ( 10 )

106z2 + − 8z + 10

Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

Answer:

6a²b(2b-3a³+5)

in here we need to consider about highest common factor. After that take it as common and factorise

HOW TO DO???

- First you have to find how much money does she get per hour on each day

- Then add the amounts together

SLOVE

Lisa get: 55 : 5= 11$ per hour on Friday

Lisa get: 88 : 8= 11$ per hour on Saturday

Lisa get: 33 : 3= 11$ per hour on Sunday

At the end Lisa get: 11$ x 3= 33$  per hour at her job

{ I think my English isn't very good either because I'm just intermediate so I hope you understand it.}

Answer:

Step-by-step explanation:

2+-x15 = -3

15.2 2 /15 -x =3

30 -x /15 = -3 x= 75

Answer:

6

Step-by-step explanation:

6 x 6 = 36

Answer:

15. x = 4

17. AB = 9

Step-by-step explanation:

15.

Since B is in the middle of AC, AB + BC = AC

So,

x + 5 + 2x - 4 = 13

3x + 1 = 13

3x = 12

x = 4

17.

Since B is in the middle of AC, AB + BC = AC

So,

x + 16 + x + 17 = 19

2x + 33 = 19

2x = -14

x = -7

Going back to the question, it says to find the length of AB.

AB = x + 16 = -7 + 16 = 9

Answer:

The answers for this question is given below in the explanation section, kindly refer.

Step-by-step explanation:

Find the next 5 terms:

1) 28 < 33, 38, 43, 48, 53 => In every next term 5 is added.

2) 64 < 32, 16, 8, 4, 2 => In every next step the term is divided by 2.

3) 64 < 125, 216, 343, 512, 729 => In every next step it is a cube of next number.

4)  13 < 17, 19, 23, 29, 31 => In every next term it is the next prime number.

5) V < VI, VII, VIII, IX, X => In every next term it is the next roman numeral.

6) 8 < 13, 21, 34, 56, 90 => In every next term it is the sum of previous two terms.

7) => In every next term the arrows rotate clockwise in direction.

T/F:

8) False => 17+19 = 36, which is not a prime number.

9) True

10) True

11) True

12) True

13) True

14) False => ostrich, penguin, etc.

15) True

16) False => (a + b)² = a² + b² + 2ab

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Answer:

the anser in 60

Step-by-step explanation:

Let the original number be x.

According to the question we can write as (2/3)x+20x

On rearranging x−(2/3)x=20

Now taking the L.C.M od 1 and 3 is 3

(3x−2x)/3=20

x/3=20

Again by transposing x=60

So the original number is 60

Answer:

∠1 is 101 ∠4 is 79 and ∠2 is 79

Step-by-step explanation:

This is because ∠1 is a vertical angle of ∠3 so they have the same angle

For ∠4 and ∠2 you would do 101-180 because they are supplementary do they add up to 180

Answer:

D Reflect across the line y = -3

Step-by-step explanation:

The only way you can divide the trapezoid so that there are two congruent parts is when you draw a line on y=-3.

Answer:

For f (x):

f (x) = (x + 3) ^ 2 - 2

For x = -1

f (-1) = (-1 + 3) ^ 2 - 2

f (-1) = (2) ^ 2 - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f (3) = (3 + 3) ^ 2 - 2

f (3) = (6) ^ 2 - 2

f (3) = 36 - 2

f (3) = 34

AVR = ((34) - (2)) / ((3) - (- 1))

AVR = 8

For g (x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g (x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

AVR = ((0) - (- 2)) / ((3) - (- 1))

AVR = 1/2

For h (x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

Step-by-step explanation:

Answer:

from least to greatest:

1) g (x)

2) f (x)

3) h (x)

Step-by-step explanation:

Answer:

So what's M and N?

Step-by-step explanation:

Answer:

4,      -1,         5,          -2

Step-by-step explanation:

The value of expression using PEMDAS rule is 28 .

Given : expression [ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )

To find : value of expression

Calculation : Using V-BODMAS

[ 8 ( 2 ) - [tex]( 4 )^{2}[/tex]] + 7 ( 4 )

= [ ( 8 * 2 ) - ( 4 * 4 ) ] + ( 7 * 4 )

= [ 16 - ( 4 * 4 ) ] + ( 7 * 4 )

= [ 16 - 16 ] + ( 28 )

= [ 0 ] + ( 28 )

= 28

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4 people can go to the amusement park.

Let the number of people that can go to amusement park be x.

The parking fee will be paid once only, while cost of ticket will be multiplied based on the number of people.  

Forming equation as per the given information in question -

11.25 + 35.75 × x = 154.25

Solving the equation as per the operators -

Shifting 11.25 to Right Hand Side of the equation

35.75x = 154.25 - 11.25

Performing subtraction on Right Hand Side of the equation

35.75x =  143

Shifting 35.75 to Right Hand Side of the equation

x = 143 ÷ 35.75

Performing division on Right Hand Side of the equation

x = 4

Therefore, 4 people can go to the amusement park.

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The median of all these numbers in dollars is 7.5.

When the no. of given data are odd we arrange those nos. in an order increasing or decreasing order and the middle no. is the median of the given odd numbers.

According to the given question the following values represent the amount of money (in dollars) 10 people have in their wallets: 10, 12, 19, 5, 6, 8, 1, 13, 4, 7 and we have to find the median.

First we observe that no. of people is even so there will be two middle nos.

Now lets arrange these nos. in an order from least to greatest which is

1, 4, 5, 6, 7, 8, 10, 12, 13, 19 in this 7 and 8 are middle numbers.

So, to find the median of all these nos. we will divide these two middle nos. by 2.

∴  ( 7 + 8 )/2

= 15/2

= 7.5.

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Answer:

p = 12, q = 16,

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

-6 + (12)

○ First you remove the brackets

○ Then you will get -6 + 12

○ Negative Positive (-+) equals Negative

○ You will put will subtract the bigger number by the smaller number

i.e 12-6

○ You will get your answer as 6

Four less than a number is tripled. The result is 15. Equations properly models this information  is x - 9.

When you need to multiply the supplied number by the sum of the two numbers, you apply the distributive property. Following the order of operations in such situations often entails adding the numbers first, followed by multiplying them by the specified quantity.

Based on the given condition formulates = 3 (z - 4) = 15

Applying the distributive property 3z - 12 - 15

Rearrange variables to the left side of the equation 3z - 15 + 12

Calculate the sum of difference 3z- 27

Divide both sides of the  equation by the coefficient of variable w = 27/3

Cross out the common factors : x - 9

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The  difference between the values of 4 is 0.36.

We need to understand the place value and face value of a digit in a number.

Place value of digit is decided by putting the number of zeroes equal to the number of digits after that digit.

And the face value of a number is the number itself.

Here the two numbers given is 25.48 and 12.64. And we have to find the difference in place value of 4 in the given number.

The value of 4 in 25.48 is 0.40.

The value of 4 in 12.64 is 0.04.

Required difference = 0.40-0.04

                               = 0.36

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Answer:

630 seconds

Step-by-step explanation:

1 minute = 60 seconds

Number of minutes × Number of seconds per minute = Number of seconds in total

60 × 10 ½ = 630 seconds

Hope this helped! ^^

Answer:

Step-by-step explanation:

could you explain better?

Answer:

He needs to get 100% on his next test

Explanation:

(59 + 80 + 65 + 96 + 100) / 5