Fine slope intercept form y = x+7 (2, 3) Help please and thanks

A cross section perpendicular to the base and passing

Anna11 [10]

64 square inches
hope this helps!

7 0

3 years ago

Which summation formula represents the series below? 13 + 9 + 5 + 1

Ket [755]

Answer:

The summation formula for the series is ⇒ 15n - 2n²

Step-by-step explanation:

* Lets check the series 13 , 9 , 5 , 1

∵ 9 - 13 = -4

∵ 5 - 9 = -4

∵ 1 - 5 = -4

∴ The series has a common difference

∴ It is an arithmetic series with first term a and constant difference d

* That means

- a1 = a , a2 = a + d , a3 = a + 2d , a4 = a + 3d

∴ an = a + (n - 1)d, where n is the position of the number in the series

* The sum of the arithmetic series can find by the rule

- Sn = n/2[2a + (n - 1)d], where n is the number of terms you want to add

* Lets use this rule in our problem

∵ Sn = n/2[2(13) + (n - 1)(-4)]

∴ Sn = n/2(26 + (-4n + 4)] ⇒ open the small bracket

∴ Sn = n/2[26 - 4n + 4] ⇒collect the like terms

∴ Sn = n/2[30 - 4n] ⇒ open the bracket

∴ Sn = (n/2)(30) - (n/2)(4n)

∴ Sn = 15n - 2n²

* The summation formula for the series is 15n - 2n²

7 0

3 years ago

Read 2 more answers

Bill is riding his bicycle. He takes 5 hours to ride 62.5 kilometers. What is his speed?

insens350 [35]

He is going 12.5 kilometers per hour.
or 12.5 kph
or 12 1/2 kph

4 0

3 years ago

How many mLs are in 1300mG

Thepotemich [5.8K]

Answer:

1.3 mL

Step-by-step explanation:

1 mg = 0.001 mL

1300 mg * 0.001 mL/mg = 1.3 mL

7 0

3 years ago

Read 2 more answers

Type the correct answer in the box. assume π = 3.14. and round your answer to the nearest hundredth. at the rate of $2.00 per sq

spin [16.1K]

The cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

<h3>How to find the area of the composite figures?</h3>

To find area of the composite figures,

Separate the figure.
Calculate the are of the each figure by which the composite figure is made of.
Add the area of all the individual figures to get the total area of composite figures.

The dimentions of the rectangle is 3 by 4 foot. The area of the rectangle is,

$A_r=3\times4\\A_r=12\rm \;ft^2$

The radius of the semicircle is 1.5 m. The area of the semicircle is,

$A_{sc}=\dfrac{1}{2}\pi\times(1.5)^2\\A_{sc}=\dfrac{1}{2}(3.14)\times(1.5)^2\\A_{sc}=3.5325\rm\; ft^2$

The area of the composite figure is,

$A=12+3.5325\\A=15.5325\rm\;ft^2\\$

The rate of painting is $2.00 per square foot. Thus the cost to paint the figure is,

$A=15.5325\times2\\A=31.065$

Hence, the cost of painting the rectangular board with a semicircular top is $31.065 to the nearest hundredth.

Learn more about the area of composite figures here;

brainly.com/question/15981553

8 0

3 years ago