Find Sn for the given arithmetic series.
01 = -40, d = -7, n = 22

Answers

Answer 1

Answer:

[tex]\large \boxed{-187}[/tex]

Step-by-step explanation:

The formula for the sum of n terms of an arithmetic sequence is  

aₙ = a₁ + (n-1)d

If a₁ = -40, d = -7, and n = 22

[tex]\begin{array}{rcl}S_{22} & = & -40 + (22 - 1)(-7)\\& = &-40 + 21(-7)\\& = & -40 - 147\\& = & \mathbf{-187}\\\end{array}\\ \text{The sum of the first 22 terms is $\large \boxed{\mathbf{-187}}$}[/tex]


Related Questions

"If A, then B" is the form of a
statement.
o
A. deductive
B. true
C. conditional
o
D. false
SUBMIT

Answers

Answer:

Step-by-step explanation:

If A then B is a conditional statement.

the shape of a toy cylinder has a radius of 5cm and height of 8cm on top a hemisphere of radius 5cm , calculate the volume of the toy

someone should pls help me

Answers

Answer:

  890.1 cm^3

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V =  πr^2h

Filling in the given numbers, we find the volume of the cylinder to be ...

  V = π(5 cm)^2(8 cm) = 200π cm^3

__

The volume of a hemisphere is given by the formula ...

  V = (2/3)πr^3

Filling in the given radius, we find the hemisphere volume to be ...

  V = (2/3)π(5 cm)^3 = 250π/3 cm^3

__

The total volume of the toy is presumed to be the sum of these volumes, so is ...

  toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3

  toy volume ≈ 890.1 cm^3

Dara has to solve 35 math problems for homework. She has completed 14 of them.what fraction of the problems does she have left to do?

Answers

Answer: 3/5

Step-by-step explanation: thats your answer.

is this right? pls help asapppp

Answers

Answer:

yes thats correct

Step-by-step explanation:

Answer:

14.79

Step-by-step explanation:

Take the price of the dishes and multiply by the tax rate

232 * 6 3/8%

Change to decimal form

232 * .06375

14.79

The tax is 14.79

Please answer !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

the mixmum area y-axis also know in this graph as area then we go to the left hand side we see the mixmum point of the x-axis also know in this graph as width

the greater the area the greater the width

Find the domain of the function

Answers

Answer:

all real numbers

Step-by-step explanation:

The domain of the function is what numbers can be put in for x

X can be any value.  There are no restrictions, since there is no denominator or  exponent

Andrea is painting a ceramic plate with a diameter of 12 inches. She wants to paint a thin blue line around the edge of the plate. How long will the line be?

Answers

Answer:

37.7 inches

Step-by-step explanation:

She wants to paint the line along the circumference of the plate.

The plate is circular; the circumference of a circle is given as:

C = πD

where D = diameter

The diameter of the plate is 12 inches, therefore:

C = π * 12 = 37.7 inches

The line will be 37.7 inches long.

on a piece of paper,graph this system of inequalities then determine which answer choice matches the graph you drew and identify the number of solutions
y<3/2x-2
y<3/2x -8

Answers

Answer: b infinite number of solutions (blue and purple)

Step-by-step explanation:

There will be multiple solution for both inequality.

What is inequality?

Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.

According to the question

y<3/2x-2      ---------- (1)    

y<3/2x -8    -----------(2)

to take out points we have to take (1) as  y= 3/2x-2

x y

-4 -8

-2 -5

0 -2

2 1

4 4

6 7

same for (2) we take  y=3/2x -8

x  y

-2 -11

0 -8

2 -5

4 -2

6 1

Then we plot our graph which is shown in sheet attached

According to the graph we can see that they both are parallel to each other now we will shade left hand side of line as per the inequality

when we shade we will observe that points left side of equation (2) are common in both  .

Hence, there will be multiple solution .

To know more about inequality here :

https://brainly.com/question/15137133

# SPJ2

Please help me!!!! I need to hand it in rn!!

Answers

Answer:

12

Step-by-step explanation:

[tex]no \: of \: side \: of \: polygon \\ = \frac{360 \degree}{ measure \: of \: exterior \: angle} \\ \\ = \frac{360 \degree}{ 30 \degree} \\ \\ = 12[/tex]

6.
A shop sells CDs and DVDs.
In one week the number of CDs sold and the number of DVDs sold were in the ratio 3:5
The total number of CDs and DVDs sold in the week was 728
Work out the number of CDs sold.

Answers

Answer:

273

Step-by-step explanation:

CD(3):DVD(5)

3+5=8

728 divided by 8= 91

3x91=273

Answer:

273

Step-by-step explanation:

CDs to DVDs is 3:5

[tex]\frac{728}{3+5}[/tex]

[tex]\frac{728}{8}=91[/tex]

[tex]3 \times 91: 5 \times 91[/tex]

[tex]273:455[/tex]

273 CDs were sold.

Which is the graph of y-3 =-{{+ 6)?

Answers

Answer:

[tex]y = - 3[/tex]

[tex]y = - 6 + 3 \\ y = - 3[/tex]

PLEASE HELP ME ASAP!!!

Answers

Answer:

Step-by-step explanation:

When equal bases are multiplied, the powers add.

The bases of both expressions is x.

The powers are 5 and 7.

The answer is x^(5 + 7) = x^(12)

PLS HELP THXSSSSSSS

QUICKLY TOOO

Answers

Answer:

94.2 cm³

Step-by-step explanation:

The volume of a cone is

1/3 x h x π x r²

Plug in the values!

1/3 x 10 x 3.14 x 3²

1/3 x 10 x 3.14 x 9

3 x 10 x 3.14

30 x 3.14

94.2 cm³

Answer:

V =94.2 cm^3

Step-by-step explanation:

The volume of a cone is

V = 1/3 pi r^2 h

The radius is 3 and the height is 10

V = 1/3 ( 3.14) 3^2 * 10

V = 1/3 (3.14) *9(10)

V =94.2 cm^3

Plz need help for a grade god explanation and answer get brainliest

Answers

Answer:

20%

Step-by-step explanation:

There is a 20% chance you get selected for researching China because 5 out of 25 spaces are ones for researching China.

[tex]\frac{5}{25} =\frac{20}{100}[/tex]

Jennifer is flying her kite and I get stuck in a tree. She knows the string on her coat is 17 feet long and she is 7 feet from the tree. How high up in the tree is the kite (in feet)?

Answers

Answer:

15.5 feet

Step-by-step explanation:

Find attached to this answer the appropriate diagram.

We would be using the Pythagoras Theorem to solve this question

The formula is given as:

a² + b² = c²

Where a = opposite side

b  = adjacent side

c = hypotenuse

From the question,

a = opposite side =  unknown

b  = adjacent side = 7 feet

c = hypotenuse = 17 feet

We are to find the opposite side

Using the formula

a² + b² = c²

a² = c² - b²

a² = 17 feet² - 7 feet ²

a² = 289 feet² - 49 feet²

a² = 240 feet²

a = √240 feet²

a = 15.491933385 feet

Approximately 15.5 feet

Therefore, the kite is 15.5 feet high up in the tree.

The solutions to the equation -4|x + 9= -8 are:

A)7, 11
B)7, -11
C)-7, 11
D)-7, -11

Answers

Your answer is 7,11 it is a negotiate and

A cube has a volume of 1/512 cubic meter. Complete the explanation for finding the length of each side of the cube. Express your answers as simplified fractions when necessary

Answers

Answer:

1/8 meters

Step-by-step explanation:

The volume of a cube is given as the cube of the length of its sides. That is:

[tex]V = L^3[/tex]

where L = length of its side

The volume of the cube is 1/512 cubic metres.

This implies that:

[tex]\frac{1}{512} = L^3[/tex]

Find the cube root of both sides:

[tex]\sqrt[3]{\frac{1}{512} } = L\\\\=> L = \frac{1}{8}[/tex] meters

The cube has sides of length 1/8 meters

16-2t=5t+9, find the value of t.

Answers

Answer:

[tex]t = 1[/tex]

Step-by-step explanation:

[tex]16 - 2t = 5t + 9 \\ 16 - 9 = 2t + 5t \\ 7 = 7t \\ \frac{7}{7} = \frac{7t}{7} \\ t = 1[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]t=1[/tex]

Step-by-step explanation:

[tex]16-2t=5t+9[/tex]

[tex](+16)+(-2t)=(+5t)+(9)[/tex]

Add [tex]-16[/tex] and [tex]-5t[/tex] on both sides.

[tex](-2t)+(-5t)=(+9)+(-16)[/tex]

Add the like terms and evaluate.

[tex]-2t-5t=9-16[/tex]

[tex]-7t=-7[/tex]

[tex]7t=7[/tex]

[tex]t=7/7[/tex]

[tex]t=1[/tex]

An object in the shape of a rectangular prism has a length of 5 inches, a width of 3 inches, and a height of 2 inches. The object's density is 8.3 grams per cubic centimeter. Find the mass of the object to the nearest gram.

Answers

Answer:

[tex]4,080grams[/tex]

Step-by-step explanation:

the formula for density is:

[tex]d=\frac{m}{V}[/tex]

where d is density, m is mass, and V is volume.

solving for m in the last equation:

[tex]m=d*V[/tex]

so if we find the volume and multiply it by the density [tex]d=8.3gr/cm^3[/tex]  we will get the mass of the object.

The volume of a rectangular prism is given by:

[tex]V=l*w*h[/tex]

where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height:

[tex]l=5in\\w=3in\\h=2in[/tex]

we substitute to find the volume:

[tex]V=5in*3in*2in\\V=30in^3[/tex]

since the density has units of [tex]cm^3[/tex] we need the volume also in units of [tex]cm^3[/tex] , so we make the conversion using:

[tex]1in^3=16.3871cm^3[/tex]

multiplying by 30:

[tex]30in^3=491.612cm^3[/tex]

and now we find the mass with the equation:

[tex]m=d*V[/tex]

substituting d and V:

[tex]m=(8.3gr/cm^3)(491.612cm^2)\\m=4,080.36gr[/tex]

the nearest gram is: [tex]4,080grams[/tex]

What is the answer to -4+(-4)??

Answers

Answer:-8

Solution,

-4+(-4)

= -4-4

=-8

Hope it helps

Good luck on your assignment

Answer:

-8

Step-by-step explanation:

-4 plus -4 equals -8.

What is the volume?
1 ft
1 ft
1 ft
cubic feet
Submit

Answers

Answer:

1^3 cubic feet

Step-by-step explanation:

Volume is a 3 dimensional unit. So, times all the side together.

1 times 1 times 1 = 1 cubic foot

I hope that helps.

PLEASE HELP!!!! I HAVE TO GO TO SOFTBALL SO I HAVE TO HURRY!!!!!! PLEASE HELP!!!!!!!!!!!!!!!!


A cylinder-shaped water tank is 160 cm tall and measures 87.92 cm around.



What is the volume of the water tank?


Enter your answer as a decimal in the box. Use 3.14 for π.

Answers

Answer:

Step-by-step explanation:

The volume formula for a cylinder is

[tex]V=\pi r^2h[/tex]

In order to find the radius we need to use the circumference we were given. The formula for the circumference is

[tex]C=2\pi r[/tex]

Filling in the info about the circumference value of 87.92:

[tex]87.92=2(3.14)r[/tex] or

87.92 = 6.28r so

r = 14

Now that we know the radius we can fill in the volume formula:

[tex]V=(3.14)(14)^2(160)[/tex] and

V = 98470.4 cm cubed

Solve log (x + 1) = –x2 + 10 by graphing. Which equations should be graphed?
y1 = –x2

y1 = –x2 + 10

y2 = log (x + 1)

Answers

Answer:

b. y1 = –x2 + 10

d. y2 = log (x + 1)

Step-by-step explanation:

edge 2023

Answer:

b,d and d for the second question

Step-by-step explanation:

Choose an inequality that matches the graph.

x<3

x>3

x=3

x≤3

Answers

Answer:

x ≤ 3

Step-by-step explanation:

The equation of the solid line is x = 3

The shaded region to the left of x = 3 is less than 3 , thus

x ≤ 3 matches the graph

The diagram shows squares 1, 2, and 3 constructed on the sides of a right
triangle.

Answers

Answer:

I think D but I'm not sure about that

Answer:

D

Step-by-step explanation:

Please help urgentttttttt

Answers

Answer:

The best answer would be C

Step-by-step explanation:

The square has two parallel lines and the rhombus has parallel lines as well. And when you turn the square, it looks like a rhombus. They are both parallelograms and quadrilaterals.

Hope this helps

The diagram represents an 11 cm by 6 cm rectangular
What is the answer?

Answers

Answer:

See below.

Step-by-step explanation:

If you need the area it is 11 * 6 = 66 cm^2.

The perimeter is 2*11 + 2*6 =  34 cm.

Isaac can text 96 words in 6 minutes. At this rate, how many words could he text in 10 minutes?

Answers

Answer:

160

Step-by-step explanation:

We can divide 96 by 6 to find that Isaac types at 16 words per minute

16*10=160

Please help me out ! :( struggling

Answers

The graph that most resembles y=3^x is Graph B

Answer:

I think graph B

Step-by-step explanation:

It makes more sense

PLEASE HELP ASAP! Brainliest will be given

Answers

Answer:

I am not sure but still according to me, its 3×5. 3X5 can be the correct answer.

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