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2 years ago

What is the common difference of the following sequence? 4.3,5,7,9,11_5.16,19,22,25

Mathematics

1 answer:

myrzilka [38]2 years ago

8 0

Answer:

Step-by-step explanation:

4). Given sequence → 3, 5, 7, 9, 11........

Common difference of an arithmetic sequence is defined by,

Common difference = Successive term - previous term

= 2nd term - 1st term

= 5 - 3

= 2

5). Given sequence → 16, 19, 22, 25........

Common difference of an arithmetic sequence = Second term - first term

= 19 - 16

= 3

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A northbound bus returns to the bus stop every 20 minutes. The southbound bus returns to the bus stop every 25 minutes.How long

Klio2033 [76]

They stop at the same time after 4 times for the southbound bus to return and five times for the northbound bus returns to the bus stop

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3 years ago

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If a logo of 6 ft and he needs a quart of paint for every 22 square ft how many quarte will he need for the whole logo

bulgar [2K]

Complete Question

If a logo has dimensions of 6 ft and 11ft, he needs a quart of paint for every 22 square ft. How many quarts will he need for the whole logo?

Answer:

3 quarts of paint

Step-by-step explanation:

The Logo is rectangular in shape, hence:

The area of a rectangle = Length × Width

The logo has dimensions of 6 ft and 11ft.

Area of the Logo = 6ft × 11ft = 66ft²

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Hence:

22 ft² = 1 quart of paint

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2 years ago

You want to buy a pair of sneakers at a shoe store and you can spend at most $80 you have a coupon for $10 off any pair of shoes

PolarNik [594]

80 $\geq$ p-20

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3 years ago

57 is 13.5% of what number?

kondaur [170]

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6 0

2 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

8 months ago

What is the common difference of the following sequence? 4.3,5,7,9,11___5.16,19,22,25__​

What is the common difference of the following sequence? 4.3,5,7,9,11_5.16,19,22,25