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3 years ago

Find the 20th term of an arithmetic sequence with a first term of 3 and a common difference of 5

Mathematics

2 answers:

PIT_PIT [208]3 years ago

8 0

It's <span>98...

</span>a₂₀=3+5(20-1)

Need help?

musickatia [10]3 years ago

4 0

So just keep subtracting 5 from three or do 5 times 20 - 3. that equals - 97

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three students had $9.00 total and went to a smack bar where their bill was $6.57. they want to divide up the money that is left

KatRina [158]

9.00+6.57=× is the answer

3 0

3 years ago

Which are equivalent to 3^2 x 3^4? check all that apply.

Andreas93 [3]

equivalent

1) 3^6

4) 3^-4 · 3^10

8) (3 · 3) · (3 · 3 · 3 · 3)

Step-by-step explanation:

$= {3}^{2} \times {3}^{4}$

$= {3}^{(2 + 4)}$

$= {3}^{6}$

equivalent

1) 3^6

4) 3^-4 · 3^10

8) (3 · 3) · (3 · 3 · 3 · 3)

8 0

3 years ago

Read 2 more answers

What is the point-slope form of a line with slope -5 that contains the point<br> a<br> (2,-1)?

gulaghasi [49]

The point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

<h3>What is point slope form?</h3>

The point slope form of a line is the expression of line which has a specified slope and passes through a point.

The point slope form is givne as,

(y-y₁)=m(x-x₁)

Here, m is the slope of the line, x₁ is the x coordinate of the point by which line passes and y₁ is the y coordinate of the same point.

The slope of a line is -5. This line contains the point A (2,-1). Thus, the point slope form is,

(y-y₁)=m(x-x₁)

(y-(-1))=-5(x-2)

(y+1)=-5(x-2)

Thus, the point-slope form the line which has the value of slope -5 and contains a point as A(2,-1) is (y+1)=-5(x-2).

Learn more about the point slope form here;

brainly.com/question/6497976

#SPJ1

8 0

2 years ago

The length of a rectangular football field, including both end zones, is 120 yards. The area of the field is 57,600 square feet.

egoroff_w [7]

Answer:

3a.False,the width is 53.33 yards

3b.true, the Length is 120 yards=360 feet

3c.True, width of the field is 160 feet.

3d. True,rea of the field is 6,400 square yards.

Step-by-step explanation:

Hello , I think I can help you with this

to solve this you must know the equivalence between feet and yard, which is

3 feet = 1 yard

Also, the area of a rectangle is the product of its length by its width

Area=length *width

Step 1

convert 120 yards into feet using a rule of three

3 feet = 1 yard

x feet= 120 yards

3/1=x/120

x=(120*3)/1

x=360 feet

120 yards= 360 feet

Step 2

isolate the width from the area´s equation to find out it.

Area=57600 square feet

length=360 feet

Area=length *width

width=Area/length

Width=57600 square feet/360 feet

Width=160 feet

Step 3

convert 160 feet into yards

1 yard= 3 feet

x yard= 160 feet

1/3=x/160

x=(1*160)/3

x=53.33 yards

width=53.33 yards

the area is (square yards)

Area=120 yards*53.33 yards

Area=6400 square yards

Step 4

Answer the questions.

3a.False,the width is 53.33 yards

3b.true, the Length is 120 yards=360 feet

3c.True, width of the field is 160 feet.

3d. True,rea of the field is 6,400 square yards.

Have a nice day.

7 0

3 years ago

A cylindrical container is used to hold drinking water on the sidelines for a football team. The maximum capacity of the contain

wlad13 [49]

To solve this we are going to use the formula for the volume of a cylinder: $V= \pi r^2h$
where
$V$ is the volume of the cylinder in cube centimeters
$r$ is the radius of the cylinder in centimeters
$h$ is the height of the cylinder in centimeters

We know for the problem that volume of our cylinder is 26,460 mL. Since 1 mL = $1cm^3$ , the volume of our cylinder is $26460cm^3$ . We also know for our problem that the height of our cylinder is 60 cm, so $h=60$ . Lets replace those values in our formula and solve for $r$ :
$V= \pi r^2h$
$26460= \pi r^2(60)$
$26460=60 \pi r^2$
$r^2= \frac{26460}{60 \pi }$
$r^2= \frac{441}{ \pi }$
$r= \sqrt{ \frac{441}{ \pi } }$
$r= \frac{21}{ \sqrt{ \pi } }$
$r=11.8$

We can conclude that the radius of the football team's <span>cylindrical container is 11.8 cm</span>

6 0

3 years ago