What is the correct order of the angle measures of the triangle from smallest to largest?

1,49,1625,3649,..... what is the next term in this series?

gayaneshka [121]

The series would be look like this with adding the next number
1,49,1625,3649,6481

The key to get this number is concatenate two consecutive squares together for each term.

3 0

2 years ago

The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?

BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
$A_{n}=A_{1}+(n-1)d$

$A_{n}$ is the "n-th" number in the sequence (ex: is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so $A_{1}=47$
d=-2 because the question gives you that

$A_{n}=A_{1}+(n-1)d$
 $A_{29}=47+(29-1)(-2)$
 $A_{29}=47+(28)(-2)$
 $A_{29}=47+-56$
 $A_{29}=-9$

The answer is A. -9.

 

The answer is C. 158

For the second one, it gives you $A_{1}=4$ and $A_{}=18$
You can use this to find d

 $A_{n}=A_{1}+(n-1)d$
 $A_{3}=4+(3-1)d$
 $18=4+(3-1)d$
 $18=4+2d$
 $14=2d$
 $7=d$

Now you can just solve using the equation normally.
 $A_{n}=A_{1}+(n-1)d$
 $A_{23}=4+(23-1)(7)$
 $A_{23}=4+(22)(7)$
 $A_{23}=4+154$
 $A_{23}=158$

The answer is C. 158

8 0

3 years ago

Read 2 more answers

The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT

Nikitich [7]

Answer:

H₀: μ = 550 vs. Hₐ: μ < 550.

Step-by-step explanation:

A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.

The mean sore for all test‑takers is μ = 550 with a standard deviation of σ = 120.

A random sample of n = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.

The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:

H₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. μ = 550.

Hₐ: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. μ < 550.

5 0

2 years ago

What is the equivalent fraction for 35/42

Lubov Fominskaja [6]

Answer:

An equivalent fraction is 5/6

Step-by-step explanation:

In order to find this, divide both parts of the fraction by 7.

35/7 = 5

42/7 = 6

Now we can put this back together as a fraction.

5/6

7 0

3 years ago

Read 2 more answers

The cost, c(x), for a taxi ride is given by c(x) = 2x + 2.00, where x is the number of minutes.

MArishka [77]

Answer:200

Step-by-step explanation:is the answer

7 0

2 years ago