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kirill115 [55]
3 years ago
13

Write the next three terms of the arithmetic sequence.

Mathematics
2 answers:
Inga [223]3 years ago
8 0

Answer:

36, 44, 52

Step-by-step explanation:

Just add 8 to 28 = 36

Add 8 to 36 = 44

Add 8 to 44 = 52

OLga [1]3 years ago
4 0

Answer:

36, 44, 52

Step-by-step explanation:

give me that brailyest

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What is the y-intercept of the equation of the line that is perpendicular to the line y =
igor_vitrenko [27]

Answer:

y=-5/3x+20

Step-by-step explanation:

Let the equation of the required line be represented as \[y=mx+c\]

This line is perpendicular to the line \[y=\frac{3}{5}x+10\]

\[=>m*\frac{3}{5}=-1\]

\[=>m=\frac{-5}{3}\]

So the equation of the required line becomes \[y=\frac{-5}{3}x+c\]

This line passes through the point (15.-5)

\[-5=\frac{-5}{3}*15+c\]

\[=>c=20\]

So the equation of the required line is \[y=\frac{-5}{3}x+20\]

Among the given options, option 4 is the correct one.

3 0
3 years ago
if in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99%
Dahasolnce [82]

The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

The lifetime (in hours) of a 60-watt light bulb is a random variable that has a Normal distribution with σ = 30 hours. A random sample of 25 bulbs put on test produced a sample mean lifetime of = 1038 hours.

If in the study of the lifetime of 60-watt light bulbs it was desired to have a margin of error no larger than 6 hours with 99% confidence, how many randomly selected 60-watt light bulbs should be tested to achieve this result?

Given Information:

standard deviation = σ = 30 hours

confidence level = 99%

Margin of error = 6 hours

Required Information:

sample size = n = ?

Answer:

sample size = n ≈ 165

Step-by-step explanation:

We know that margin of error is given by

Margin of error = z*(σ/√n)

Where z is the corresponding confidence level score, σ is the standard deviation and n is the sample size

√n = z*σ/Margin of error

squaring both sides

n = (z*σ/Margin of error)²

For 99% confidence level the z-score is 2.576

n = (2.576*30/6)²

n = 164.73

since number of bulbs cannot be in fraction so rounding off yields

n ≈ 165

Therefore, a sample size of 165 bulbs is needed to ensure a margin of error not greater than 6 hours.

3 0
3 years ago
Solve the equation 5x-2x^2+1
Pani-rosa [81]

Answer:

Step-by-step explanation:

If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:

5x-2x^2+1 = 0

This is a quadratic equation.  Rearranging the terms in descending order by powers of x, we get:

-2x^2 + 5x + 1 = 0.  Here the coefficients are a = -2, b = 5 and c = 1.

Use the quadratic formula to solve for x:

First find the discriminant, b^2 - 4ac:  25 - 4(-2)(1) = 25 + 8 = 33

Because the discriminant is positive, the roots of this quadratic are real and unequal.

                                                             -b ± √(discriminant)

Applying the quadratic formula   x = --------------------------------

                                                                         2a

we get:

      -5 ± √33           -5 + √33

x = ----------------- = --------------------- and

           2(-2)                     -4

                                  -5 - √33

                                 ---------------

                                         -4

5 0
3 years ago
Simplify 4 n5 + 3.5 n5 + (-2.1 n5 ).
Alona [7]

Step-by-step explanation:    

<u>Step 1: Let's simplify step-by-step.</u>

4n^5 + 3.5n^5 - 2.1n^5

= 4n^5 + 3.5n^5 +  -2.1n^5

<u>Step 2: Combine Like Terms:</u>

= 4n^5 + 3.5n^5 + -2.1n^5

= (4n^5 + 3.5n^5 + -2.1n^5)

= 5.4n^5

 

Answer:    

=5.4n^5

 

Hope this helps.

7 0
2 years ago
What is the radius of a circle with an area of 78.5 cubic inches? Use 3.14 for pi. Enter your answer in the box.
Korvikt [17]

Answer:

r =5 in

Step-by-step explanation:

Area of a circle is given by

A = pi r^2

We know the area and pi

78.5 = 3.14 r^2

Divide by 3.14

78.5/3.14 = 3.14 /3.14 r^2

25 = r^2

Take the square root of each side

sqrt(25) = sqrt(r^2)

5=r

4 0
3 years ago
Read 2 more answers
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