PLEAAAAAASEEEE HELPPPP ASAAPPPP 95 POINTS JUST FOR THIS
use the following arithmetic sequence and the formula an=a1+(n-1)d to answer the questions below 123,116,1099,102,95.
part 1. find the value of each of the following
part 2/ find the explicit formula, show work. part 3.
part 3. use the explicit formula you found from part 2 to find the value of the 100th term in the sequence show your work!

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

123,116,109,102,95.

First find the common difference

d = 116 - 123 = -7

We are subtracting 7 each time

Using the formula

a1 = 123

d=-7

an = 123+ (n-1)(-7)

We need to find the 100th term

Let n = 100

a100 = 123 +(100-1) (-7)

         = 123+(99)(-7)

        = 123-693

        = -570


Related Questions

I need help again plz

Answers

3 :)

6.231 has a 1 after the 3, meaning you keep the 3 instead of rounding it up to 6.24

A set of composite numbers less than 12 .express it in listing and set builder methods​

Answers

Given:

A set of composite numbers less than 12.

To find:

The set by listing and set builder methods​.

Solution:

Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.

Composite numbers less than 12 are 4, 6, 8, 9, 10.

By using the listing method , the given set can be expression as:

Set = {4, 6, 8, 9, 10}

The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.

By using set builder method, the given set can be expression as:

Set = [tex]\{x|x\neq P,1<x<12\}[/tex]

Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and [tex]\{x|x\neq P,1<x<12\}[/tex] respectively.

2 sin2 (π/2 sin2x)=1+cos(π×cos2x)

Answers

Answer:

3/5Step-by-step explanation:

[tex]the \: equation \: is \: equivalent \: to \\ 2 \: { \sin }^{2} (( \: \frac{\pi}{2}) \: {cos}^{2} x ) = \\ \: 2 \: {sin}^{2} (( \frac{\pi}{2} sin \: 2x \: ) \\ = {cos}^{2} x = sin \: 2x \\ = \: \cos \: x(cos \: x \: - \: 2 \: sin \: x) \: = \: 0 \\ = \: 1 - 2 \tan \: x = 0 \: as \: cos \: x \: ≠ 0 \\ x ≠ (2n + 1) \frac{\pi}{2} \\ = \tan(x) = \frac{1}{2} \\ = \cos(2x) = \frac{1 - {tan \: }^{2}x }{1 + {tan \: }^{2} \:x } = \frac{3}{5} [/tex]

HOPE IT HELPS!!!!

If it is correct mark as BRAINLIEST ✌️

Given f(x) and g(x) = k-f(x), use the graph to determine the value of k.
f(x)
g(x)


A. -5
B. -1/5
C. 1/5
D. 5

Answers

Answer:  Choice A)  -5

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

Explanation:

The point (-2,2) is on the red f(x) line. This point is marked in black.

It corresponds to the point (-2,-10) on the g(x) blue line.

The point (-2,2) moves to (-2,-10). The x coordinate stays at x = -2. The y coordinate has gone from y = 2 to y = -10. This is a jump of "times negative 5".

-5*2 = -10

So we see that k = -5

Saying g(x) = k*f(x) is the same as g(x) = -5*f(x)

Recall that y = f(x), so saying -5*f(x) is really saying "whatever the y coordinate is on f(x), multiply it by -5 to get the corresponding y coordinate on g(x)".

Answer:

-5

y = -x + 4 (red)

y=5x -20 (blue)

-5*(-x+4) = 5x-20

Step-by-step explanation:

9r^6/ 5r^3g^2, 5n^5c^-6 times 2n^-5c^3, and 9g^-4yA^4/3g^6y^-2 using properties of exponents, all this for 10 points

Answers

Answer:

Step-by-step explanation:

5n⁵c⁻⁵ *  2n⁻⁵c³ = (5*2)*n⁵⁺⁽⁻⁵⁾ * c⁻⁶⁺³

                          =10*n° *c⁻³

                           = 10c⁻³               (n° = 1}

[tex]a^{m}*a^{n}=a^{m+n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{9r^{6}}{5r^{3}g^{2}}=\frac{9}{5g^{2}}*r^{6-3}\\\\=\frac{9r^{3}}{5g^{2}}\\\\\\\\\frac{9g^{-4}y^{4}}{3g^{6}y^{-2}}=\frac{9}{3}*g^{-4-6}*y^{4-(-2)}\\\\=3*g^{-10}*y^{4+2}\\\\=3g^{-10}*y^{6}\\\\=\frac{3y^{6}}{g^{10}}[/tex]

Fill in the blank with <,> or = . 11.01-----11.001

Answers

Answer:  Greater than sign

In other words, 11.01 > 11.001

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

Explanation:

For each given number, move the decimal point 3 spots to the right.

The value 11.01 becomes 11010

The value 11.001 becomes 11001

Since 11010 > 11001, this means 11.01 > 11.001

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

As an alternative method, you can subtract the values to see which is larger

The rule or idea is that

(large) - (small) = positive(small) - (large) = negative

For example, 5-2 = 3 showing that 5 is larger than 2. As another example, 7-9 = -2 meaning 7 is smaller than 9. The order of subtraction matters.

In this case, 11.01 - 11.001 = 0.009 showing that 11.01 is larger than 11.001

SOMEBODY PLEASE HELP

Answers

Answer:

x=40

Step-by-step explanation:

1/5x=8

x=8*5=40

x=40

While in France, Judy wants to sign up for a bike tour to see the countryside. She likes a tour that is 40 kilometers long, but she isn't sure how far that is. She decides to estimate the distance in miles. If Judy uses the fact that 1 kilometer is about 0.6 miles, what will her estimate be?

Answers

Answer:

24 Miles

Step-by-step explanation:

We multiply:

40 * 0,6 = 24 miles

the cost for renting a car is $29.00 a day plus $0.29 for every kilometre after the first 100 km. what is the cost of renting a car after 14 days and 320 km?
(linear equations)

Answers

Answer:

$469.80

Step-by-step explanation:

First, let's find out how many fees would be paid exclusively for renting it out for 14 days.

29.00 * 14 = $406

They have to pay 406 dollars just for having the car for 14 days.

Now let's find out how much will need to paid for driving for 320 km.

We can first take away 100 km because the fee only starts afterwards.

320 - 100 = 220

220 * 0.29 = 63.8

63.80 + 406 = 469.80

Pls help ..
if A =
[4 3] is a singular matrix, find 'a'
[ a 3]​

Answers

Answer:

a = 4.

Step-by-step explanation:

We know that:

[tex]A = \left[\begin{array}{ccc}4&3\\a&3\end{array}\right][/tex]

is a singular matrix, now we want to find the value of a.

We know that a matrix is singular if:

Det [A] = 0

Where remember that the determinant of a 2x2 matrix is given by:

[tex]M = \left[\begin{array}{ccc}k_{11&k_{12\\k_{21}&k_{22}\end{array}\right]\\\\det[M] = k_{11}*k_{22} - k_{12}*k_{21][/tex]

Then the determinant of A is:

Det [A] = 4*3 - a*3

and that must be zero, so:

4*3 - a*3 = 0

Now we just need to find the value of a:

12 - a*3 = 0

12 = a*3

12/3 = a

4 = a

So the value of a is 4.

How much is 3 lbs of gold worth I’m American money

Answers

Answer:

$1865

The gold calculator is a gold melt value calculator which can be used to determine the value of gold metal inside an item with a known weight and gold purity. These items may include gold jewelry (such as, bangles, bracelets, chains, earrings, necklaces, pendants, and rings), gold bullion and gold coins.

The gold calculator is designed to calculate the gold metal value for one item at a time. If you would like to calculate the gold metal value for multiple items simultaneously consider using the scrap gold calculator for scrap gold, the gold bullion calculator for gold bullion bars and coins, and the gold coin calculator for gold coins.

Which of the following graphs represent the dilation of
the given triangle XYZ with the center of dilation at the
origin with a scale factor 3?


Please I need it fast

Answers

Answer:

12y

Step-by-step explanation:

Help please guys! Thank youuu

Answers

Answer:

Step-by-step explanation:

12b + 1 5c = 420

b ---> number of hour baby sitting

c-----> number of hours cleaning

c = 32 hours

Plugin c = 32 in the equation,

12b + 15*32 = 420

12b + 480 = 420

Subtract 480 from both sides

12 b = 420 - 480

12b = -60

So, This is not a reasonable value.

2) b = 10 hours

Plugin b = 10 hours

12*10 + 15c = 420

120 + 15c = 420

         15c = 420 -  120

         15c = 300

Divide both sides by 15

c = 300/15

c = 20 hours

He has to do cleaning for 20 hours

Yes, It is reasonable value

Use the number line to find the measure of SV

Answers

Answer:

8

Step-by-step explanation:

S = -7 to V= 1 you count from -7 to 1

simplify

x - ( - 6 x )​

Answers

Answer:

7x

Step-by-step explanation:

Answer:

answer

x - ( - 6x )

x + 6x

= 7x

Podemos ver una muestra de laboratorio que contiene 32 bacterias inicialmente, y que luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora. ¿Al cabo de cuántas horas no quedará ninguna bacteria?. Resuelve utilizando potencias y sus propiedades.

Answers

Answer:

10 horas.

Step-by-step explanation:

Dado que una muestra de laboratorio contiene 32 bacterias inicialmente, y luego de aplicar una vacuna, se autodestruyen a la mitad cada una hora, para determinar al cabo de cuántas horas no quedará ninguna bacteria se debe realizar el siguiente cálculo:

32 / 2  = 16

16 / 2 = 8

8 / 2 = 4

4 / 2 = 2

2 / 2 = 1

1 / 2 = 0.5

0.5 / 2 = 0.25

0.25 / 2 = 0.125

0.125 / 2 = 0.0625

0.0625 / 2 = 0.03125

Por lo tanto, al cabo de 10 horas no quedará ninguna bacteria.

!$P¡D£R €ŁÆŃ!!$P¡D£R €ŁÆŃ!

Answers

Answer:

A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.

Answer:

I would go with D

Step-by-step explanation:

Because there are 4 possibilities.

1) they both land heads up

2) they both land tails up

3) one lands heads up and the other tails up

4) one lands tails up and the other heads up

Hope this helps!

Find the measure of angle "b" ​

Answers

Answer:

43°

Step-by-step explanation:

Angle B is congruent to the opposite angle.

43c because it is exactly equivalent to the similar opposite numeral

If this trapezoid is moved through the
translation (x+3, y-2), what will the
coordinates of D' be?
5
B
С
4
3
2
A
D
1
-7 -6 -5 -4
-3 -2
-10
1
2
3
4
D' = ([?], [ ]
-2.

Answers

9514 1404 393

Answer:

  D'(4, 0)

Step-by-step explanation:

  (x, y) ⇒ (x +3, y -2)

  D(1, 2) ⇒ D'(1+3, 2-2) = D'(4, 0)

How do you find the equation of a line of a triangle when given the area and one set of coordinates?

Answers

The straight line through two points will have an equation in the form y = m x + c . We can find the value of , the gradient of the line, by forming a right-angled triangle using the coordinates of the two points.

Please help will be marked as brainliest if correct

Answers

Answer:

I think the answer is three.

Here is a picture of my work. The answer is 3. Hope this helps:)

Please help I’ll give brainllist

Answers

The answer is C :) hope this helps
5 mph I’m pretty sure x

Please helppppppp meeee

Answers

Answer:

angle K is 30 degrees

Step-by-step explanation:

A triangle adds up to 180 degrees. since LM and KM are congruent angle L and M are both 75 degrees each you subtract from 180 and you get 30 degrees

22/9 divided by 8, please hurry test is timed!

Answers

Answer:

0.30(5)

the 5 is repeating

Step-by-step explanation:

calculator

Alicia is a music artist. Her income can be represented by the function, f(a) = 200 + 12a, where a represents the total number of albums sold.

What is an acceptable domain for this situation?

Answers

Answer:

The answer is below

Step-by-step explanation:

A function shows the relationship between the set of inputs (independent variable) to the set of outputs (dependent variables).

The domain of a function is the set of possible inputs (independent variable) that satisfies the functions.

From the question, the domain of the function is the set of all possible vales of the inputs which is a (number of album sold).

Hence the domain of the function is:

0 < a < ∞

Can someone please be generous & help I’ve been stuck here for a whole hour

Answers

The answer is 1/2d+4=12

The 1/2 is because she is lending half the collection and the +4 is because Clara buys 4 more. It equals 12 because that’s the number that she has now. If you solve for d it gives the original number of dresses in her collection

Answer:

Answer: 16 Step-by-step explanation: a:2+4 =12 a:2=12-4 a:2=8 a=8 ×2 a=16 dresses  

Step-by-step explanation:

for the diagram below, which equation is the correct use of the distance formula?

Answers

Answer:

????

Step-by-step explanation:

Where's the equation? diagram?

Answer:

How we supposed to answer with no equation

Step-by-step explanation:

Solve the inequality -2c – 5 > -7 and graph the solution.

Answers

The answer is B .greater than 6

Find the solution to the equation 4r + 2(r - 8) = 4(3 + r).

Answers

Answer:

r = 14

Step-by-step explanation:

Use distributive property:

4r + 2r - 16 = 12 + 4r

Combine like terms:

6r - 16 = 12 + 4r

Isolate the variable:

6r = 28 + 4r

2r = 28

r = 14

Answer:

r = 14

Step-by-step explanation:

4r + 2(r - 8) = 4(3 + r)

4r + 2r - 16 = 12 + 4r

6r - 16 = 12 + 4r

6r - 4r - 16 = 12 + 4r - 4r

2r - 16 = 12

2r - 16 + 16 = 12 + 16

2r = 28

2r ÷ 2 = 28 ÷ 2

r = 14

which equation has the steepest graph?
A. y=7x+3
B. y=8x-1
C. y=-10x-4
D. y=-2x+6

Answers

The answer to this question would be C. Y=-10x-4
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