Question 1
1 pts
Given the sequence:
25, 21, 17, 13,...
Write the explicit equation that models the sequence.
A. an
4n + 29
B. an
25 +(-4)(n-1)
C. an = -25 +(-4)(n-1)
D. an
= 4 + 25
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Answers

Answer 1

Answer:

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]

Step-by-step explanation:

Given sequence is:

25, 21, 17, 13,...

Here

a1 = 25

a2 = 21

a3 = 17

First of all we have to determine the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence.

So,

[tex]d = a_2 - a_1 = 21-25 = -4\\d =a_3-a_2 = 17-21 = -4[/tex]

The explicit formula is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

Putting the value of a1 and d

[tex]a_n = 25 + (n-1)(-4)\\a_n = 25-4n+4\\a_n = 29-4n[/tex]

Hence,

The correct answer is: Option B: [tex]a_n = 25+(-4)(n-1)[/tex]


Related Questions

solve the following inequality showing all steps -3n+7<4

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]

[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Given the expression, 3(y + 1) + 2y, which of the following expressions is equivalent?
A
3y + 3

B
5y + 1

C
5y + 3

D
9y + 3

Answers

Answer:

C

5y + 3

Step-by-step explanation:

Use the figure to find the measure of the angle.Explain your reasoning.

Answers

angle2=180-152=28

angle3=28

angle4=152

angle5=152

angle6=28

angle7=28

angle8=152

The values of the marked angles: angle 2, angle 3,  angle 4,  angle 5,  angle 6,  angle 7,  angle 8 are 28°, 28°, 152°, 152°, 28°, 28°, 152°.

What is an angle?

When two lines or rays meet at a point, then the geometrical figure is formed, is called an angle.

Given, angle 1 = 152°

We know, angle 1 + angle 2 is 180°.     (supplementary angles)

Therefore, angle 2 = (180° - 152°) = 28°.

Again, angle 2 = angle 3.             (opposite angles)

Therefore, angle 3 = 28°.

Similarly, angle 1 = angle 4

Therefore, angle 4 = 152°.

Now, angle 1 = angle 5        (corresponding angle)

Therefore, angle 5 = 152°.

Now, angle 2 = angle 6        (corresponding angle)

Therefore, angle 6 = 28°.

Now, angle 3 = angle 7        (corresponding angle)

Therefore, angle 7 = 28°.

Now, angle 4 = angle 8        (corresponding angle)

Therefore, angle 8 = 152°.

Learn more about an angle here: https://brainly.com/question/18129828

#SPJ2

which of the following are exterior angles? help!

Answers

Answer:

2, 4, 6

Step-by-step explanation:

Given the function f(x) = -x2– 7x + 18, determine the average rate of change
of the function over the interval – 10 < x < -1.

Answers

Answer: 4

Step-by-step explanation:

Can someone please help me with this math problem I don’t understand it

Answers

Answer:

i  need points

Step-by-step explanation:

i need points ,, hope you find your answer

CAN SOMEONE HELP ME ITS URGENT I NEED THIS ASAP

Answers

Answer:

1200

Step-by-step explanation:

1680/1050 = 1920/x

1680x = 2,016,000

x=1200

Answer:

There are 1200 vertical pixels.

Step-by-step explanation:

This is a ratio problem, which uses ratios to relate different items in the question. In a ratio problem, it's important to remember to

1) Write the items in the ratio as a fraction.

2) Make sure that you have the same items in the numerator and denominator.

→ Step 1:

The first step is to assign variables. Let x = vertical resolution of the 23" monitor.

Write the items in the ratio as a fraction.

[tex]\frac{horizontal}{vertical} = \frac{1680}{1050} = \frac{1920}{x}[/tex]

Step 2:

Solve the equation.

      Cross multiply:

[tex]1680*x = 1920 * 1050[/tex]

[tex]1680x=2016000[/tex]

       Isolate variable x:

[tex]x=\frac{2016000}{1680}[/tex]

[tex]x=1200[/tex]

There are 125 people on a mountain trail. If 84% of the people on the trail are on a hiking tour, how many people are on the tour

Answers

Answer:

Total people on the tour will be: 105 people

Step-by-step explanation:

Total people on a mountain trail = 125

Given that 84% of the people on the trail are on a hiking tour.

We need to determine how many people are on the tour.

All we need is to multiply 84% or 0.84 by 125.

i.e.

People are on the tour = 84% × 125

                                      = 84/100 × 125

                                      = 0.84 × 125

                                      = 105 people

Therefore, total people on the tour will be: 105 people

I don't understand math please help me

Answers

Answer: I cant really read the questions.

Step-by-step explanation:

The questions are a bit blurry can you post again

List the following in order from least (top) to greatest (bottom).
6, 25, 27, V64, 764

Answers

Answer:

6  

25

27

64

764

It's just ascending order, easy.

Solve for X: 6x+25=1

Answers

6x+25=1

move +25 to the other side

sign changes from +25 to -25

6x+25-25=1-25

6x=1-25

6x=-24

divide both sides by 6 to get x by itself

6x/6=-24/6

x=-4

answer: x=-4

X=-4
Subtract 25 form both sides which would end up as
6x=-24
Then divide 6for both side later which ends ups as
X=-4

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11ft^3

Answers above on the picture^ thank you:)

Answers

Answer:

#3

Step-by-step explanation:

Don’t understand pls help

Answers

Answer:

-1.5x + 3

Step-by-step explanation:

The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:

WHENS MY BDAY I SAID THIS

Answers

Answer:

reeee whenever it was happy bday ily by :)

draw a flowchart to calculate the average from 25 exam scores​

Answers

Answer:

?

Step-by-step explanation:

18% of what number is 22?

Answers

Answer:122.222222

Step-by-step explanation: hope this helps

can i have brainliest?  

Lisa received 34 text messages on Monday and 43 text messages on Tuesday. She received 98 text messages on Wednesday. How many more text messages did Lisa receive on Wednesday than on Monday and Tuesday combined?​

Answers

Answer:

she received 21 more

Step-by-step explanation:

43 + 34 =77

98-77= 21

Hope this helps!!!

A retail store makes k% profit on the selling price. What is the least integer value of k that will enable the store to make a profit of at least 30% of the cost of the item?

Answers

Answer:

k = 23% profit on sale price is needed to ensure 30% profit on cost price

Step-by-step explanation:

Let sale price be = s , Profit = k% of s

Let cost price be = 100 , Profit = 30% of c

Cost price (c) + profit (p)  = Sale price (s)

c + 0.3c = s

1.3c = s

Profit as a percentage of sale = (Profit / Sale) x 100

= (0.3c / 1.3c) x 100

= 23%

Assume that 12 jurors are randomly selected from a population in which 73% of the people are Mexican-Americans. Refer to the probability distribution table below and find the indicated probabilities.

0 0+
1 0+
2 0.0001
3 0.0007
4 0.004
5 0.0172
6 0.0542
7 0.1255
8 0.2122
9 0.2549
10 0.2068
11 0.1016
12 0.0229


Find the probability of exactly 5 Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x=5)=



Find the probability of 5 or fewer Mexican-Americans among 12 jurors. Round your answer to four decimal places.
P(x≤5)=



Does 5 Mexican-Americans among 12 jurors suggest that the selection process discriminates against Mexican-Americans?

no
yes

Answers

Answer:

I'm not sure if i'm correct but i'm guessing no

Step-by-step explanation:

PLZ HELP IM WASTING MY POINTS FOR THIS Match each expression to its value.

1. -1 + 2
1
2. 1 + (-2)
-3
3. -1 - 2
3
4. 1 - (-2)
-1

Answers

Answer:

1. 1

2. -1

3. -3

4. 3

If you have any questions on the topic let me know. :)

Answer:

1. 1

2. -1

3. -3

4.3

Step-by-step explanation:

...

PLEASE HELP QUICKK
Which slopes could be the slopes of perpendicular lines?

Question 1 options:

1/2 and 2


8 and -1/8


2 and 2


1 and -1


0 and undefined

Answers

The answer would be:

8 and -1/8

1 and -1

And could be 0 and undefined, but I'm not 100% sure

Find how many solutions there are to the given equation that satisfy the given condition.
y1 +y2+y3+y4=27, each yi is a nonnegative integer.

Answers

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex]  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

[tex]\bigg(^{27}_{4} \bigg)[/tex]

The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]

[tex]= \dfrac{27!}{4!(27-4)!}[/tex]

[tex]= \dfrac{27!}{4!(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]

[tex]= \dfrac{421200}{24}[/tex]

= 17550 solutions

help neeeddded........

Answers

Answer:

D 7a - 11b

Step-by-step explanation:

9a- b -2a - 10b

7a - b -10b

7a - 11b

Answer:

I believe the correct answer is D.

Step-by-step explanation:

What is the special rule with multiplying or dividing an equality by a negative number?

Answers

Multiplying or dividing both sides by a negative number reverses the inequality.

answer the following correctly

Answers

Answer:

[tex] y = -\frac{10}{3}x - 23 [/tex]

Step-by-step explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]

[tex] y = -\frac{10}{3}x - 23 [/tex]

What is the value of x?
- (12 – 8x) = 5x +15 – 7x
Enter your answer in the box.
X=

Answers

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x

Distribute negative:                    -12 + 8x = 5x + 15 - 7xCombine like terms:                   -12 + 8x = -2x + 15Add 2x on both sides:                -12 + 10x = 15Isolate x term:                              10x = 27Isolate x:                                       x = 27/10

Xander takes a quiz worth 150 points. Each question is worth 30 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.

Answers

Answer:

If he missed five questions he can get a zero

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME ASAP

Answers

Sawyer you have to go to heaven and piper did you

what is the value of the expression below (81^2)^1/8

Answers

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]

[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]

[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

c

Step-by-step explanation:

because I said so " But rearle you cant start a sentence with because"

ok then, The answer is C because I said so

if two points are in a plane, then the line that contains them is

Answers

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

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