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2 years ago

Roger can type 1530 words in 1/2 hour. How many words can he type per minute? PLS HELP ME

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

6 0

Answer:

25.5

Step-by-step explanation:

1530 divided by 60 is 25.5 and 25.5 multiplied by 60 is 1530.

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Find the fifth term in the sequence that is defined as follows a1=1. An=3an-1+2

faltersainse [42]

The fifth term in the sequence would be 161.

Step-by-step explanation:

We have to find the fifth term in the sequence $an=3a(n-1)+2$

Given that

a1 = 1 (that is the first term)

If we follow the formula, the value of every term depends on the value of immediate lower term. Therefore, the a2 can be calculated by putting 2 in place of n in above equation

$a2=3a(2-1)+2$

$a2=3a1+2$

$a2=3(1)+2$ as a1 = 1

$a2=5$

Similarly,

$a3=3a(3-1)+2$

$a3=3a2+2$

$a3=3(5)+2$ as a2 = 5

$a3=17$

and

$a4=3a(4-1)+2$

$a4=3a3+2$

$a4=3(17)+2$ as a3= 17

$a4=53$

and

$a5=3a(5-1)+2$

$a5=3a4+2$

$a5=3(53)+2$ as a4 = 53

$a5=161$

Therefore, the fifth term in the sequence would be 161.

Learn more:

The following links have more information about sequencing

brainly.com/question/7221312

Keywords: sequence, arithmetic series

#learnwithBrainly

6 0

3 years ago

The measure of XYZ is 45. The length of radius YZ is 6 inches. What is the area of sector XYZ?

balandron [24]

Answer:

area of a sector = 14.13 yards²

Step-by-step explanation:

XYZ is a sector of a circle. The radius YZ is 6 inches .The angle of the sector is given as 45°. The area of the sector can be solved as follows.

area of a sector = ∅/360 × πr²

where

r = radius

∅ = center angle

r = 6 inches

∅ = 45°

area of a sector = 45/360 × 3.14 × 6²

area of a sector = 45/360 × 3.14 × 36

area of a sector = 45/360 × 113.04

area of sector = 1/8 × 113.04

area of a sector = 14.13 yards²

6 0

2 years ago

Read 2 more answers

Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

Part 1) $y=-\frac{1}{5}x-1$

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

3 years ago

Solve - 9/2y=27/2 for y.

dedylja [7]

Answer:

It’s y = 3

Step-by-step explanation:

Solve for y by simplifying both sides of the equation, then isolating the variable.

5 0

3 years ago

The rule Rx-axis o is applied to the point (-3,-2). Where is the image in the coordinate

Nastasia [14]

Answer:

$Image = (-3,2)$

Step-by-step explanation:

Given

$Point = (-3,-2)$

Transformation = Rx-axis

Required

Determine the image

When rule Rx-axis is applied to a point (x,y),

The new coordinate point is (x,-y)

In other words, the y coordinate is negated

So, when rule Rx-axis is applied to

$Point = (-3,-2)$

The image of the point is

$Image = (-3,-(-2))$

$Image = (-3,2)$

4 0

2 years ago