Find the first six terms of the sequence.
a1 = -7, an = 4 • an-1

A) -7, -28, -112, -448, -1792, -7168
B) -28, -112, -448, -1792, -7168, -28,672
C) -7, -28, -24, -20, -16, -12
D) 0, 4, -28, -24, -20, -16

Answer: [tex]1272.51\ cm^3[/tex]

Step-by-step explanation:

Given

diameter of each candle is [tex]d=6\ cm[/tex]

The height of each candle is  [tex]h=9\ cm[/tex]

The volume of a cylinder is [tex]V=\pi r^2h[/tex]

The volume of each candle is

[tex]\Rightarrow V=\pi \times 3^2\times 9\\\Rightarrow V=254.502\ cm^3[/tex]

For 5 candles it is

[tex]\Rightarrow 5V=1272.51\ cm^3[/tex]

Total wax used for 5 candles is [tex]1272.51\ cm^3[/tex]

488cm² is your answer

Step-by-step explanation:

the area of the composite figure=area of rectangle +area of triangle

=l×b+1/2 b×h=17×22+1/2×{22-10}×19 =488cm²

Answer:

280

Step-by-step explanation:

Answer:

this one is so simple add $2.99 5 times

Step-by-step explanation:

Answer:

14.95

Step-by-step explanation:

I guess you are assuming that one person is getting the popcorn for all 5 people including themselves. It's not worded the best way I've ever seen but that is the assumption I will make

So you multiply 5 * 2.99 = 14.95

Only for interest's sake, you could solve the question by multiplying by 5 * 3 dollars

5 * 3 = 15 dollars

You take off 5 cents because the actual cost is 2.99 and that is 1 cent below 3 dollars.

15.00 - 05 = 14.95  or a nickel less than 15 dollars.

Answer:

21 in²

Step-by-step explanation:

Following the formula, you set it up as [tex]\frac{3(6+8)}{2}[/tex]

Add 6 and 8

[tex]\frac{3(14)}{2}[/tex]

Multiply 3 and 14

[tex]\frac{42}{2}[/tex]

Divide 42 by 2

21 in² = area of trapezoid patio

Step-by-step explanation:

Perimeter is a measurement of the distance around a shape and area gives us an idea ... Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet.

Answer:

a) 256 ft^2 No

b) 150 ft^2 Yes

c) 300 ft^2 NO

d) 192 ft^2 Yes

w=8.5 in

l=11 in

A=w•l

A=8.5•11=93.5 in^2

Scale:

1in:1.5 ft

1in^2:2.25 ft^2

1in ^2. 2.25ft^2

93.5 in^2. Xft^2

X=2.25•93.5

X=210.375

Step-by-step explanation:

The required answers are below the scale drawings for each of these rooms:

a. 16 feet by 16 feet: No

b. 10 feet by 15 feet: es

c. 15 feet by 20 feet: NO

d. 12 feet by 16 feet: Yes

Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.

a. 16 feet by 16 feet:

The width of the room on the scale drawing will be 16/1.5 = 10.67 inches, and the length will also be 10.67 inches. Since both dimensions are greater than the width and length of the paper, the scale drawing will not fit on one piece of paper.

Answer: No.

b. 10 feet by 15 feet:

The width of the room on the scale drawing will be 10/1.5 = 6.67 inches, and the length will be 15/1.5 = 10 inches. The length dimension of the scale drawing fits on the paper, Therefore, the scale drawing will fit on one piece of paper.

Answer: Yes.

c. 15 feet by 20 feet:

The width of the room on the scale drawing will be 15/1.5 = 10 inches, and the length will be 20/1.5 = 13.33 inches. Both dimensions are greater than the width and length of the paper, so the scale drawing will not fit on one piece of paper.

Answer: Not.

d. 12 feet by 16 feet:

The width of the room on the scale drawing will be 12/1.5 = 8 inches, and the length will be 16/1.5 = 10.67 inches. Both dimensions are less than the width and length of the paper, so the scale drawing will fit on one piece of paper.

Answer: Yes.

Learn more about the Scale images here:

brainly.com/question/13194929

#SPJ2

Answer:

Step-by-step explanation:

The volume of a cylinder is

[tex]V=h\pi r^2\\ \\ h=8,\ r=4\\ \\ V=8\pi (4^2)\\ \\ V=8(16)\pi \\ \\ V=128\pi \units^3[/tex]

Answer:

the circumstance of the circle is 6.2857

- 3/5

Step-by-step explanation:

1(y) = 1 x y

= 1 x (- 3/5)

= - 3/5

Answer:

-5

Step-by-step explanation:

Divide -10 by 2 and you'll come away with -5

Answer:

- 13

Step-by-step explanation:

Given

- 2 + 3(1 - 4) - 2 ← evaluate parenthesis

= - 2 + 3(- 3) - 2 ← perform multiplication

= - 2 - 9 - 2

= - 13

Step-by-step explanation:

solution

= -2+3(3)-2

=-2+3*3-2

= -2+9-2

=-11-2

= -9

Answer:

V = 3078.76 in³

Step-by-step explanation:

To find the volume of a cylinder, use this formula:

V = πr²h

Plug in the values you know.

V = π(7)²(20)

First let's evaluate the exponent.

7² = 49

V = π(49)(20)

Now let's multiply.

49 • π = 153.938

153.938 • 20 ≈ 3078.76

V = 3078.76 in³

This is your answer.

Hope this helps!

Answer:

The slope is 1 because its rise over run is 1/1 which equals to 1. Its also a positive slope. Hope this helps!

Answer:

90%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

Answer:

Blank 1: y=3x+10

Blank 2: y= 40

Step-by-step explanation:

Let the cost of gift wrap be y and the number of gifts be x.

Department

An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.

y= 3x +10

Niece

A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.

y= 40

To find out when the two plans cost the same, equate the two equations together. Then, solve for x.

3x +10= 40

3x= 40 -10 (-10 on both sides)

3x= 30

x= 30 ÷3

x= 10

Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.

There are multiple answers to this question. One is that there are an additional two zeros on 7,000,000 than 70,000. In addition, 7,000,000 is 100 times greater than 70,000

Answer:

Step-by-step explanation:

Answer:

Hey, do you want to roleplay

Step-by-step explanation:

I can't solve, sorry.

Answer:

-130

Step-by-step explanation:

Answer: 30

Step-by-step explanation:

Order of operations, multiplication first, then subtraction and addition

Answer:

The second company is a better deal

Step-by-step explanation:

$483.78

Step-by-step explanation:

21.99 times 22 = $483.78

Answer:

x = 31

So 2x-7 = 55

x + 4 = 35

Step-by-step explanation:

[tex]2x-7+x+4=90\\3x-3=90\\3x=93\\x=31[/tex]

Answer:

Step-by-step explanation:

Answer:

Costo Total= $38,680

Step-by-step explanation:

Dada la siguiente información:

Un comerciante compra 16 máquinas de coser a S/.408 cada una: 27 equipos de sonido a S/. 732 cada uno y 19 lavadoras a S/. 652 cada una.

Para calcular el costo total, debemos usar la siguiente formula:

Costo Total= costo unitario * cantidad adquirida

Costo Total= 408*16 + 732*27 + 652*19

Costo Total= $38,680

The total amount of everything including sewing machines, sound systems, and washing machine is $38,680.

The cost price refers to the original price of the items, it is the total amount of money that costs a manufacturer to provide a given product.

The unit cost of sewing machines = 408

The unit cost of a sound system = 732

The unit cost of a washing machine = 652

Total cost = 408 × 16 + 732 × 27 + 652 × 19

                = 6528 + 19764 + 12388

                = $38,680

Therefore, the total amount of everything including sewing machines, sound systems, and washing machine is $38,680.

Learn more about cost price;

https://brainly.com/question/11027396

Answer:

28/1

Step-by-step explanation:

Answer:

7sqrt2

Step-by-step explanation:

28/4=7

we have a 45-45-90 triangle so d=7sqrt2

Answer:

1: c

2: 114

Step-by-step explanation:

Answer:

Part 1 is C

Part 2 is B

Step-by-step explanation:

Part 1: First convert 35% into a decimal (.35)

Then convert it into a fraction ([tex]\frac{7}{20}[/tex])

Now convert 10% into a fraction (.10)

Convert into a fraction ([tex]\frac{1}{10}[/tex] or [tex]\frac{2}{20}[/tex])

Part 2: Convert 15% into a decimal (.15)

Multiply .15 by 760 (114)

114 students chose tea as a drink

Answer:

-5..........................