Find the 23rd
term of the arithmetic sequence whose common difference is d=4 and whose first term is a = -15.

Answers

Answer 1

[tex]  \mathsf{T_n = a + (n - 1)d}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ (23 - 1)4}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ (22)4}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ 44}[/tex]

[tex] \to \mathsf{T_{23} = 29}[/tex]

BrainlyVIP -.- ✋

Answer 2

Answer:

a₂₃ = 73

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 15 and d = 4 , then

a₂₃ = - 15 + (22 × 4) = - 15 + 88 = 73


Related Questions

solve and reduce to lowest terms 4\7 x 5\8

Answers

Answer:

5/14

Step-by-step explanation:

4/7 x 5/8 = 20 /56

Then divide by 4

20/56 x 4/4 = 5 /14

Answer:

The answer is 5/14

Step-by-step explanation:

i know cuz i took the test

Which of the following expressions is equivalent to:

Answers

B is equivalent to the following expression

A shirt she is making. One button is 1/8 inch, one is 3/8 inch, and one is 1/4 inch, the button hole in the shower is 2/6 of an inch which of the buttons will fit through the button hole and explain

Answers

Answer:

1/4

Step-by-step explanation:

A concert promoter is forecasting this year's attendance for one of his concerts based on the following historical data: What is this year's forecast using exponential smoothing with alpha = .2, if last year's smoothed forecast was 15,000?

Answers

The smoothed forecast for this year depends on last years forecast and

observation, as well as the value of alpha.

Response:

The forecast for this year is 16,000

What relationship can be used to find the smoothed forecast?

The given parameter are;

α = 0.2

From a similar question online, we have the following possible values;

Last year's smoothed forecast, F₄ = 15,000

Last years actual value, A₄ = 20,000

Required:

The forecast this year

Solution:

The exponential smoothing relationship is expressed as follows;

F₅ = F₄ + α·(A₄ - F₄)

Which gives;

F₅ = 15,000 + 0.2 × (20,000 - 15,000) = 16,000

This year's forecast, F₅ = 16,000

Learn more about forecasting here:

https://brainly.com/question/4941976

Express the set using the roster method. {x | XEN and x> 9)​

Answers

Answer:

A(8,9,10,11,12)

Step-by-step explanation:

A(8,9,10,11,12)

Wyatt invests $1200 into an account that earns 6.2% simple interest for 4 years. He does not make any other deposits or withdrawals. At the end of 4 years, Wyatt invests the entire account balance into a different account that earns 8% simple interest. He leaves the money in the account for 5 years without making any additional deposits or withdrawals. What is the new account balance at the end of 5 years? Drag and drop values into the boxes to correctly complete the statements. ​

Answers

Answer:

297.60 & 1497.60

Step-by-step explanation:

I had the question before and got it right.

Answer:

the correct answers are (1) 1497.60 and (2) 2096.64

explanation:

these were the correct answers!!

100% honest!!

On average, every minute of every day, 167 babies are born. The bar graph represents the results
of a single day of births, deaths, and population increase worldwide.
Each day, the number of births in the world is 45 thousand less than three times the number of
deaths.
a.) If the population increase in a single day is 241 thousand, determine the number of births and deaths per day.
There are____ thousand births per day
There are ____ thousand deaths per day

Answers

Answer:

Let x thousand births per day

Let y thousand deaths per day

Each day, the number of births in the world is 45 thousand less than three times the number of

deaths.

x=3y-45 (1)

Population increase= birth - death

=x-y(2)

substitute (1) into (2)

3y-45-y=241

2y-45=241

2y=196 (plus 45 from both side)

y=98 (divide 2 from both side)

x-y=241

x-98=241

x=339 ( pluse 98 from both side)

So, There are 339 thousand births per day

There are 98 thousand deaths per day

HOPE THIS HELP!!!

- Length of lease: 32 months
- MSRP of the car: $26,260
-Purchase value of the car after lease: $14,330
- Down payment: $1270
- Security deposit: $605
- Acquisition fee: $765
-Lease factor: 0.00073

1. What is the amount of cash due at signing?

2. What would be his monthly payments?

3. What is the total amount of money that he would spend on monthly payments

4. What is the total amount of money that he would spend on monthly payments?

5. What is the total cost of leasing the car, assuming that he does not get the security deposit back

Answers

Answer:

I'm pretty sure you would just add and subtract as needed.

Step-by-step explanation:

Sorry if i'm wrong.

Ahmad has $112 in his checking account and earns $75 per week
working part-time. Assume he has no expenses currently.
Create an equation to model the above scenario.

Answers

Answer:

total = 75x + 112

Step-by-step explanation:

I did 75x because x would be how many weeks and added 112 because of the starting amount

make b the subject of formula
[tex]a = \frac{1}{2} bh[/tex]

Answers

Answer:

[tex]a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} [/tex]

convert 6.19 to fraction​

Answers

Answer:

[tex]6.19=6\frac{19}{100}[/tex]

Step-by-step explanation:

[tex]6.19=6\frac{19}{100}[/tex]

Find the surface area of this shape

Answers

Answer:

295 cm[tex] {}^{2} [/tex]

The phasor representation of the signal v = 24 sin (θ - 30⁰) would be the vector Question 2 options: 24∠-30 24∠0 24∠90 24∠30

Answers

The vector representation of the phasor is given by:

24∠-30

What is a phasor?

A phasor is a complex number, in the following format:

[tex]p = M\sin{(\theta - s)}[/tex]

In which:

M is the magnitude.s is the phase-shift.

The vector representation is given by:

M∠s.

In this problem, the signal is:

[tex]v = 24\sin{(\theta - 30^\circ)}[/tex]

Hence, the vector representation is given by:

24∠-30

More can be learned about phasors at https://brainly.com/question/26334176

what is the equation?​

Answers

Answer:

Step-by-step explanation:

Pls answer this for brainliest A refrigerator worth Rs.58000 is offered for sale at Rs.45000. What per cent discount is offered during the sale?

Answers

Discounts are used to reduce the price of items

The percentage discount during the sale is 22.41%

How to calculate the percentage discount

The given parameters are:

Worth = Rs 58000

Selling price = Rs 45000

Start by calculating the discount amount

Discount = Worth - Selling Price

So, we have:

Discount = Rs 58000 - Rs 45000

Discount = Rs 13000

The percentage discount is then calculated as:

[tex]\% Discount = \frac{Discount}{Worth}[/tex]

This gives

[tex]\% Discount = \frac{13000}{58000}[/tex]

Simplify

[tex]\% Discount = 22.41\%[/tex]

Hence, the percentage discount during the sale is 22.41%

Read more about discounts at:

https://brainly.com/question/25567167

Traci collects donations for a dance marathon. One group of sponsors will donate a total of $6 for each hour she
dances. Another group of sponsors will donate $75 no matter how long she dances. What number of hours, to the
nearest minute, should Traci dance if she wants to raise at least $1,000?

Traci would have to dance at least hours and 10 minutes.

Answers

Answer:

She needs to dance about 154 hours.

Step-by-step explanation:

$1,000 minus $75 is $925.

$925 divided by $6 is about 154 hours.

Find the values of x between 0 and pi where the tangent line to the graph of y = sin(x) cos(x) is horizontal.

Answers

Answer:

π/4, or 3π/4

Step-by-step explanation:

dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2

Tangent line is horizontal, so dy/dx = 0

1-2(sinx)^2 = 0

(sinx)^2 = 1/2

sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]

Between 0 and pi, sinx >0

so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]

x = π/4, or 3π/4

The scale on a 1:50 000 Ordnance Survey map indicates that 2 cm on the map
= 1 km on the ground.
How many centimetres would 1km be represented by on a 1:25 000 scale map?

?cm

Answers

Answer:
i think it’s 25km

What is the surface area?
8 yd
7 yd
3 yd
square yards

Answers

The surface area is 8yards

Christina used 2 1/3 gallons of gas to drive her car 64 1/6 miles. What was the fuel efficiency of her car, in miles per gallon, for the trip?

Answers

Answer: 27 1/2 miles per gallon

Step-by-step explanation: trust me bro

I dont get this question could someone help me out i will mark brainliest include steps!

Answers

Answer:

12.5

Step-by-step explanation:

In a rectangle, the two diagonals are equal length, so MK = JL = 2x + 9

Note MK = 2 * MN, so

2x + 9 = 2 * (3x + 1)

expand:

2x + 9 = 6x + 2

Solve:

9 - 2 = 6x - 2x

4x = 7

x = 7/4

MK = JL = 2x + 9 = 2 * 7/4 + 9 = 7/2 + 9 = 3.5 + 9 = 12.5

12.5 is the answer. The explanation is because I did it already and I took a quiz on it

Consider the line y = -8x+5.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5)

Answers

Answer:

parallel: y = -8x+-27

perpendicular: y= [tex]\frac{1}{8} +5\frac{1}{2}[/tex]

Step-by-step explanation:

***Need answer and help to understand

Answers

Answer:

  a.  given ∠1≅∠2, the converse of the corresponding angles theorem shows l║m.

Step-by-step explanation:

There are several things you need to know to be able to answer this question.

corresponding angles where a transversal crosses (parallel) lines are angles that are in the same direction from the points of intersection. Here angles 1 and 2 are both "northwest" of the points of intersection, so are corresponding angles.the "corresponding angles theorem" tells you "if the lines are parallel, then corresponding angles at a transversal are congruent."the converse of a theorem "if A, then B" is "if B, then A". Here, the converse of the "corresponding angles theorem" is "if the corresponding angles at a transversal are congruent, then the lines are parallel."

__

You are given ∠1 ≅ ∠2, so the hypothesis of the converse of the corresponding angles theorem is already true. The conclusion that the lines are parallel is what you are asked to prove. To prove that, you only need to identify the angles as being corresponding, and invoke the theorem. The logic matches answer choice A.

 ∠1≅∠2 is given. The diagram shows ∠1 and ∠2 are corresponding angles, so by the converse of the Corresponding Angles Theorem, l║m.

Simplify.

(fg2)4

Can you please help me? I'm stuck on this question

Answers

Answer:

[tex]4fg^{2}[/tex]

Step-by-step explanation:

1) Remove parentheses.

[tex]fg^{2} *4[/tex]

2) Regroup terms.

[tex]4fg^{2}[/tex]

Answer:

The correct answer is...

Step-by-step explanation:

"F^4g^8" Hope this helps!

name the polynomial based on its degree and number of terms. 2 - 11x^2 - 8x + 6x^2

Answers

Step-by-step explanation:

This polynomial has like terms that can further be simplified

2 - 11x^2 + 6x^2- 8x

2 - 5x^2 - 8x

multiply by negative to take 2 to the right.

-(2 - 5x^2 - 8x)

= 5x^2 + 8x - 2

It's named a Second Degree Polynomial because the highest degree(exponent) of x in the final solution is 2.

it has 3 terms : 5x^2 , 8x , 2

Please help I don’t understand how to do this

Answers

Answer:

65 degrees

Step-by-step explanation:

All angles of a triangle have to add up to 180 degrees. After establishing that, we can see that there are two angles given. 25 degrees and a 90-degree symbol. So if two angles add up to 115 degrees, we can do 180-115=65 to find the angle of C.

Answer:

m∠C=65°

Step-by-step explanation:

m∠B=90°

m∠A=25°

m∠A+m∠B+m∠C=180°

25°+90°+m∠C=180°

m∠C=180°-(90°+25°)

m∠C=65°

Hope it helps! :)


Find the scale factor for of the dilation shown.

A. 1/2
B. 3/2
C. 2
D. 2/3


NEED THIS BEFORE MIDNIGHT!! HELP ME PLEASE. THANKS!!!

Answers

The answer is B (3/2).
Start by doing 6/4 to get 3/2.
It also works with 9/6 to get 3/2
Do what you want/What you started with.
Test it by multiplying 4 by 3/2 to get 6. It works!
Since it is a scale factor both sides grow by the same ratio. This is what we did above.

Please give me a written and explained answer for branliest

Answers

Answer:

TU = 15

Step-by-step explanation:

The two rectangles are similar. That means that the lengths of  corresponding sides are in the same ratio.

Pairs of corresponding sides:

MN, ST

NO, TU

OP, UV

PM, VS

Equal ratios of lengths of corresponding sides:

MN/ST = NO/TU = OP/UV = PM/VS

Plug in the given information:

MN/ST = 10/x = 4/6 = PM/VS

10/x = 4/6

4x = 10 × 6

4x = 60

x = 15

TU = 15

Look at image please

Answers

Answer:

the answer is going to be letter b

What is the missing numerator?

Answers

Answer:

The missing numerator is 2

Step-by-step explanation:

Assign "x" to the numerator sought:

[tex]\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}[/tex]

[tex]\frac{14x+91}{98} =\frac{14+3}{14}[/tex]

[tex]14x+91=98(\frac{17}{14} )[/tex]

[tex]14x=\frac{1666}{14} -91[/tex]

[tex]14x=119-91[/tex]

[tex]x=\frac{28}{14}[/tex]

[tex]x=2[/tex]

Hope this helps

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