1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex787 [66]
3 years ago
10

What is the common difference for the sequence shown below?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
5 0

we can always find the slope of any line by simply using two points on the line, say let's  use (3,4) and (-1,2)

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{2-4}{-1-3}\implies \cfrac{-2}{-4}\implies \stackrel{\stackrel{\textit{common difference}}{\downarrow }}{\cfrac{1}{2}}

You might be interested in
I need the answer no explanation
cricket20 [7]

Answer:

the answer is option D because it cant be division or multiplication and minus does not work

8 0
2 years ago
Read 2 more answers
There are 49 flowers to split evenly between 7 vases. How many flowers go in each vase?
dexar [7]
49 divided by 7 is 7. 

The answer is 7 flowers in each vase.
3 0
3 years ago
Read 2 more answers
Aleena expands 2xx+3-5(x-2) as 2x2+3-5x-10. Has she expanded it correctly? Please identify the mistakes and write the correct wa
Nimfa-mama [501]

The given expression is :

2xx+3-5(x-2)

We know that, x{\cdot}x=x^2

=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10

Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.

5 0
2 years ago
Find the value of d.
Elena-2011 [213]

I’m pretty sure the answer is 16, I’m very sorry if this is incorrect.

5 0
2 years ago
Angus has $3,000 he want to invest. What interest rate compounded continuously does an account need to offer so that Angus has $
kaheart [24]

Answer:

The interest rate is 7.58%

Step-by-step explanation:

Compound continuous interest can be calculated using the formula:

A = Pe^{rt}, where

  • A is the future value of the investment, including interest
  • P is the principal investment amount (the initial amount)
  • r is the interest rate  in decimal
  • t is the time the money is invested for

∵ Angus has $3,000 he want to invest

∴ P = 3000

∵ The interest rate is compounded continuously

∵ Angus has $5,500 in 8 years

∴ A = 5500

∴ t = 8

→ Substitute them in the rule above to find r

∵ 5500 = 3000e^{8r}

→ Divide both sides by 3000

∴ \frac{11}{6} = e^{8r}

→ Insert ㏑ in both sides

∵ ㏑( \frac{11}{6} ) = ㏑(e^{8r})

→ Remember ㏑(e^{n}) = n

∴ ㏑( \frac{11}{6} ) = 8r

→ Divide both sides by 8

∴ 0.07576697545 = r

→ Multiply it by 100% to change it to a percentage

∴ r = 0.07576697545 × 100%

∴ r = 7.576697545 %

→ Round it to the nearest hundredth

∴ r ≅ 7.58

∴ The interest rate is 7.58%

3 0
2 years ago
Other questions:
  • Car travels 35 1/2 miles on 1 1/4 gallons of gas. What is the unit rate for miles per gallon ?
    9·1 answer
  • Solve these equations <br> |x+1/2|= 3<br><br> |x-3|=5 6/7<br><br> |3x+7|=5
    5·1 answer
  • What is 12*11? Don't look at a calculator.
    15·2 answers
  • What timestables equal 17?
    14·2 answers
  • The distance between two cities is 87 km. What is the distance between them on a map drawn at a scale of 1:600,000?
    15·1 answer
  • Weston completed a hypothesis test and found that he could not reject the null hypothesis. Which of the following is a valid rea
    10·2 answers
  • The quadratic function f(x)=-16x^2+90 models the height of a baseball in feet after x seconds. How long is the baseball in the a
    10·1 answer
  • I need help please<br> m=3 6m²​
    14·1 answer
  • Find R if p = 1.5 and R = (1400 – 500p)p<br> R=?
    14·1 answer
  • QUESTION
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!