In which situation below would you want to use the Explicit Formula instead of the Recursive Formula?

a. Find the 100th term when the first term is -3 and the common difference is 4.
b. Find the 3rd term when the first term is 2 and the common difference is 5.
c. Find the 7th term when the first term is -1 and the common difference is 10.
d. Find the 5th term when the first term is 7 and the common difference is -2.

Answers

Answer 1

Answer:

Find the 100th term when the first term is -3 and the common difference is 4.

Step-by-step explanation:

Answer 2

Answer:

a

Step-by-step explanation:

Find the 100th term when the first term is -3 and the common difference is 4. I took the test and got 100 percent.


Related Questions

10)
4x-9
X + 18
Solve for x

Answers

Answer:

x = 9

Step-by-step explanation:

The alternate interior angles theorem tells us that these two quantities must be the same.

Therefore,

x + 18 = 4x - 9

x + 18 + 9 = 4x

x + 27 = 4x

27 = 4x - x

27 = 3x

x = 9

---

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Combine the like terms to create an equivalent expression:
-n+(-4)-(-4n)+6

Answers

Step-by-step explanation:

-n + (-4) - (-4n) + 6 = -n - 4 + 4n + 6 = 3n + 2

Answer:

3n+2

Step-by-step explanation:

-n+(-4)-(-4n)+6

= -n-4+4n+6

= 3n-4+6

= 3n+2

Choose the slope-intercept form of the equation of the line that passes through (-2, 4) and is perpendicular to the graph of 2x + y = -20.

Answers

Y= x/2 + 5 (not sure)

a spidere traveled 20 feet in 12 minutes. at this rate, how far could it travel in 3 minutes

Answers

Answer:

Spider travel in [tex]5ft[/tex] in 3 minutes

Step-by-step explanation:

A spider traveled 20 feet in 12 minutes.

Speed of spider is

[tex]\frac{20}{12} =\frac{5}{3} ft/min[/tex]

Now we need to find how far could it travel in 3 minutes

Distance

[tex]=3\times\frac{5}{3} \\\\=5ft[/tex]

If ALMN = AXYZ, which congruences are true by CPCTC? Check all that
apply.

Answers

Answer:

A C E

Step-by-step explanation:

these triangles can be mapped onto eachother. its basically asking which parts of the triangle would line up with eachother.

The required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

What is CPCTC?

CPCTC stands for "Corresponding Parts of Congruent Triangles are Congruent." It is a theorem in geometry that states that if two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.

More formally, if two triangles are congruent, then the three pairs of corresponding sides are congruent, and the three pairs of corresponding angles are congruent.

Here,
Since the triangle LMN ≅ triangle XYZ,
By CPCTC, we can say that,
∠L ≅ ∠X
∠N≅ ∠Z
∠M ≅ ∠Y
ML ≅ XY
MN ≅ YZ
LN ≅ XZ

Thus, the required congruences that are true by CPCTC are LN ≅ XZ, ∠M ≅ ∠Y, and ML ≅ XY. Options A, C, and E are correct.

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given f (x) = 2x - 10 forwhichvalueofxthat f (x) = -12

Answers

Answer:

=-240..................

Answer:

x = - 1

Step-by-step explanation:

f(x) = 2x - 10 and f(x) = - 12, then equating gives

2x - 10 = - 12 ( add 10 to both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

A motor-boat takes the same time to travel 80 miles downstream as it takes to travel 60 miles upstream. If the speed of the stream is 5 miles/hr, find the speed of the motor-boat in still water.

Answers

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:

a + 5 = 80/t

t = 80/(a + 5)

For upstream:

a - 5 = 60/t

a - 5 = 60 / (80/(a + 5))

a - 5 = 0.75a + 3.75

0.25a = 8.75

a = 35 miles per hour

The speed of the motor-boat in still water is 35 miles per hour.

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when the angle of elevation of the sun is 78 degrees, an Statue casts a shadow that is 6m long. How far is the top of the statue to the end of it's shadow? ​

Answers

Answer:

28.9 m

Step-by-step explanation:

First, we can draw a picture. The statue is on the right, with the top of the statue representing the top right corner of the triangle. The angle of elevation to the sun is 78 degrees, so the angle between the shadow and the top of the statue must be 78 degrees as well. Assuming there is no angle of elevation between the shadow and the statue, we can say that the shadow and statue form a 90 degree angle because the shadow is perfectly horizontal and the statue is perfectly vertical.

We are trying to find the hypotenuse of the triangle, or the length from the top of the statue to the end of the shadow. To do this, we can utilize the fact that

cos(x) = adjacent / hypotenuse

cos(78°) = 6 / hypotenuse

divide both sides by cos(78°) and multiply both sides by hypotenuse to solve for the hypotenuse

hypotenuse = 6/cos(78°) ≈ 28.9 m

Pls explain how to solve this elimination problem!!

Answers

Multiply the second equation by -2. This will cancel out the y

**QUESTION**
Which of the statements about the y-axis are true?

**STATEMENTS**
I. The y-axis is a vertical number line that passes through the origin.
II. The y-axis intersects the x-axis at the point (0 , 0).
III. The y-axis is the first coordinate in an ordered pair that describes the vertical distance from the origin.
IV. The y-axis is a horizontal number line that passes through the origin.

**OPTIONS**
I and II
B.
I only
C.
IV only
D.
II and IV

Answers

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

given the polynomial 6x^4+3x^3-7x^2+4x+5 choose all the following statements that are true?




A. The polynomial has a degree of 6

B. The polynomial has a leading coefficient of 4

C. The polynomial has 4 terms

D. The polynomial has a degree of 4

E. The polynomial has a leading coefficient of 6

Answers

Answer:

D and E are true

Step-by-step explanation:

The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term

6[tex]x^{4}[/tex]

Thus the polynomial is of degree 4 → D

The leading coefficient is the coefficient of the variable with the largest exponent, that is

6[tex]x^{4}[/tex]

The leading coefficient is 6 → E

a quter of 30 is=
pleas help

Answers

Answer:

7.5

Step-by-step explanation:

If 'quter' is quarter, then 30(1/4) is 7.5

A quarter of 30 is 7.5

All you gotta do is divided 30 by 4 cause a quarter is half of the half. It's the 1/4th part of the whole.

HELP ASAP THIS IS TIMED ​

Answers

C 3/4÷12

You Welcome :)

Answer: C

Find the perimeter of the figure below, in centimeters.

Answers

Answer

64.8

Step-by-step explanation:

brainliest pls

Answer:

64.8 cm.

Step-by-step explanation:

Add up the sides:

Perimeter = 2(8.7) + 2(5.5) + 2(5.5) + 2(10.8) + 2(1.9)

= 17.4 + 11 + 11 + 21.6 + 3.8

= 64.8 cm.

A school with 60 teachers is on alert during a nighttime storm. To inform teachers whether the school will open the next day, the principal will call four teachers, each of whom will call two others, and each of these will call two others, and so on until all 60 teachers have been contacted. How many teachers will have to make two calls?

A) 32
B) 29
C) 16
D) 24
E) 28

Answers

Answer:

The answer is 16

Step-by-step explanation:

call four teachers, each of whom will call two others, and each of these will call two others

Answer:

  E) 28

Step-by-step explanation:

The 4 teachers the principal calls will each make 2 calls.

The 8 teachers they call will each make 2 calls.

The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.

4 +8 +16 = 28 teachers make 2 calls.

The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms

Answers

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]

1. Classify the following polynomials as monomial, binomial trinomial and polynomial. 1) x2 – xy + y + 4

Answers

it's polynomial ✨✨✨✨✨✨✨

Answer: polynomial

Step-by-step explanation: I'm not that great at math tell me if this is correct.

how many steps will it take you to get to 100 if every even number you double and every odd number u take 1 away

Answers

Let’s go with 200 steps. Since 100 are even, 100 odd we can do something like this.

100 * 2 is 200. However since the other 100 is an odd place we will subtract 100 so our final answer is 100.

Logically, you would need 200 steps exactly to reach your goal.

( 100 if this is a trick question (‘: )

i need help pleasee. i will give brainlest

Answers

Answer:

lp

Step-by-step explanation:

y

Records show that Oliver is typically 10–30 minutes late for his shift at work. The distribution for the minutes he is late forms a consistent pattern, which can be graphed as the given uniform density curve.

A uniform density curve is at y = StartFraction 1 Over 20 EndFraction.

Company policy requires employees to be less than 12 minutes late for work. What percentage of the time will Oliver meet company policy?

6.7%
10%
60%
90%

Answers

Based on the information given, the percentage of time that'll be required to meet the policy will be 10%.

From the complete information, the probability distribution will be:

= 1/(b - a) = 1/(30 - 10) = 1/20

Since the company policy requires employees to be less than 12 minutes late for work, the percentage of the time that Oliver will meet company policy will be:

= (12 - 10) × 1/20

= 2 × 1/20

= 1/10

= 10%

In conclusion, the correct option is 10%.

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f(x)=x^2-3, find f(-2),f(4),and f(0)
f(-2)=
f(4)=
f(0)=

Answers

Step-by-step explanation:

f(-2)= -2^2-3= -7

f(4)= 4^2-3= 13

f(0)=0^2-3= -3

This assignment is already late cause I’m terrible with time management but please help

Answers

45°

B

the sum of the angles of triangles is 180°

60°+75°+x=180°

135°+x=180°

135°-135°+x=180°-135°

x°=45

B

make me brainiest

To solve this question, we have to know some rules

-All tringles' angles must add up to 180 digress

-If the triangles angles do not add up to 180 then the triangles are not a triangle (Just a little reminder if you get asked on it)

Now the steps are easy.

Since you know that all triangles' angles must add up to 180 the formula to find one missing angle is

(Angle number one) + (Angles number two) - 180

If we apply it to the triangle here, it would be

180-(60+75)

Let's solve it slowly

P.E.M.D.A.S

60+75 is 135

180-135=45

Therefore, the answer is 45 or B

I hope this helped if it's wrong pls blame me

ps.Brianlist would really help

Alex is feeling stressed this morning. He did not get enough sleep because a dog barked most of the night. The dog barked from 11;41p.m. until 12:09 a.m.Then it started barking again at 3:35 a.m. and didn’t stop until 4:10 a.m.How long did the dog bark in all?

Answers

Answer:

Poor Alex, I know how they feel, I got a dog myself.

The amount of time between

11:41 pm to 12:09 am is

19 minutes (to 12 am, 60 minutes to next hour) + 9

which is 28 minutes for the first dog barking session

the second time is 35 minutes,

using same method as before.

adding the two separte barking sessions we get

35+28= 63 minutes

which is equivelant to 1 hour and 3 minutes.

In conclusion the dog barks for 1 hour and 3 minutes in total.

Given the graph below, write an equation in slope-intercept form.

Answers

y=3x+2

The slope is how much it goes up, it goes up 3, over 1 which makes a fraction 3/1 which is 3

The y-intercept is 2 because that’s the y value when x is 0

Hope this helps!!

coaches take people to a festival.
Each coach can take 50 people.
From one city there are 820 people.
How many coaches are needed?

Answers

Answer:

17 coaches

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

Answer:

17 coaches  

Step-by-step explanation:

820 divided by 50 is 16.4 but you can't have part of a coach so you round up it 17

4x-y=10 and y=2x-2 answers

Answers

4x - y = 10, y = 2x - 2

4x - (2x -2) = 10

4x - 2x + 2 = 10

2x = 8

x = 4

4(4) - y = 10

-y = -6

y = 6

So x = 4 y= 6

Hope this helps!
Brainliest and a like is much appreciated!

Answer:

y = 6

x = 4

How to find 'x':

4x - y = 10

y = 2x - 2

First, you need to substitute the 'y' into the first equation.

4x - 2x - 2 = 10

Next, add the x's together. As it's a negative 2x then take away 2 from 4.

2x - 2 = 10

3. Now that it's a normal equation, you can add 2 to cancel out the -2

2x = 8

4. Then divide the 8 by 2 and you will get the answer to x which is 4

x = 4

How to find 'y':

1. Now that we have found out 'x'. Let's go back to y = 2x -2 and use the x to found the answer out. It should be something like this:

y = 2x - 2

y = 2(4) - 2

y = 8 - 2

8 - 2 = 6

y = 6

Conclusion:

So the answer would be:

y = 6

x = 4

You can see if it's correct by putting y into 4x - y = 10.:

4x - 2 = 10

4(4) - 6 = 10

16 - 6 = 10

So that means that y and x are the correct answer.

3 3/4 x 2/5 as a fraction

Answers

Answer:

13/20

Step-by-step explanation:

The value of 3(3/4) x 2/5 as a fraction is 3/2.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

3(3/4) x 2/5

= 15/4 x 2/5

= 3/2

Thus,

The value is 3/2.

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HELPPP:$
Sal earns $480 per week. Lidia earns $300 per week. Are their salaries proportional if Sal works 40 hours per week and Lidia works 25 hours per week? True or false?

Answers

Answer:

not proportional

Step-by-step explanation:

because if you multiply 480×40=19200 and 300×25=7500

it is not the same

The earnings of Sal and Lidia will be equal to each other. So, yes their salaries are proportional.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Sal acquires $480 each week. Lidia acquires $300 each week. On the off chance that Sal works 40 hours out of every week and Lidia works 25 hours out of each week.

The earnings of Sal in each hour will be given as,

⇒ $480 / 40

⇒ $12 each hour

The earnings of Lidia in each hour will be given as,

⇒ $300/ 25

⇒ $12 each hour

The income of Sal and Lidia will be equivalent to one another. Along these lines, yes their compensations are corresponding.

More about the ratio and the proportion link is given below.

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Please help ASAP, any links will be reported!
Write an inequality that represents the graph below:

Answers

Answer:

x< 0

Step-by-step explanation:

[] An open circle means we will be using < or > and not ≤ or ≥ because the number is not included in the inequality

[] The direction of the inequality sign will go in the direction of the graph, so we will be using < as our number is less than the value given

[] Our final answer, assuming we can use x for this graph, is x < 0

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

help i have math homework and im real bad at it i got a B- last year so help

Answers

4y-12 is the answer
4y-12 is correct. whatever number is outside of the parentheses you just multiply that with the two numbers in the parentheses to distribute :)
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