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KonstantinChe [14]
3 years ago
5

Please show step by step

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

15th term of the sequence is 36

Step-by-step explanation:

Given in the question,

a₁ = First term = -20

d = common difference = 4

Expression for the nth term of an arithmetic sequence is,

T_n=a_1+(n-1)d

Here, n = number or term

We have to calculate 15th term of the sequence,

T_{15}=-20+(15-1)(4)

     = -20 + 56

     = 36

Therefore, 15th term of the sequence is 36.

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What is the slope? ​
Luda [366]

Answer:

-3

Step-by-step explanation:

Find two easy to read points on the graph.

I see (0, 1) and (-1, 4).

slope = rise/run

Start at (0, 1). Go up 3 units. That is a rise of 3. Now go left 1 unit. That is a run of -1.

slope = rise/run = 3/(-1) = -3

6 0
4 years ago
How do u insult someone who has been all but nice to you and you really wanna be their friend?
Makovka662 [10]

Answer: you don't insult someone when they are being nice to you i i cant even do that c:

Step-by-step explanation:

4 0
4 years ago
The pipe fitting industry had 546.5 thousand jobs in 2015 and is expected to decline at an average rate of 3 thousand jobs per y
lesya692 [45]

Answer:

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

Step-by-step explanation:

Due to the assumption of a yearly average rate, a linear function model shall be used. The expected amount of jobs (n) after a certain amount of years (t) is given by the following formula:

n = n_{o} + \frac{\Delta n}{\Delta t}\cdot t

Where:

n_{o} - Initial amount of jobs in pipe fitting industry, measured in thousands.

\frac{\Delta n}{\Delta t} - Average yearly rate, measured in thousands per year. (A decline is indicated by a negative sign)

If n_{o} = 546.5, t = 2025-2015 = 10\,years and \frac{\Delta n}{\Delta t} = -3\,\frac{1}{years}, then:

n = 546.5+\left(-3\,\frac{1}{year}\right)\cdot (10\,years)

n = 516.5

The percent change in jobs from pipe fitting industry is calculated as follows:

\%n = \left(1-\frac{n}{n_{o}}\right)\times 100\,\%

\% n = \left(1-\frac{516.5}{546.5}\right)\times 100\,\%

\%n = 5.5\,\%

The amount of jobs from fitting industry shall decline in 5.5 percent from 2015 to 2025.

4 0
3 years ago
A straight line has an equation y= 4x=5 Write down the equation of the straight line that is parallel to y=4x-5 and passes throu
Eduardwww [97]


Parallel lines have same slope but different y-intercept. So they gave the equation y=4x-5 and the (0,3) where 3 is the y-intercept.


So the equation would be y=4x+3. HOPE THIS HELPS!!!!!!!!

7 0
3 years ago
Read 2 more answers
When given a function in standard form,how can you determine if the parabola has aminimum or maximum value
andrezito [222]

Answer:

It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point

Step-by-step explanation:

The function that describes a parabola is a quadratic function

The standard form of a quadratic function is given as follows;

f(x) = a·(x - h)² + k, where "a" ≠ 0

When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"

When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve

When "a" is positive, the parabola opens upwards having a "u-shape" and therefore, has a minimum point (minimum value of the y-coordinate) at the top of the curve.

3 0
3 years ago
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