Write an equation for the nth term of the arithmetic sequence 30,23,16,9,2

Answer:

The surface area of the sphere is approximately equal to 379.9 square centimetres.

Step-by-step explanation:

The surface are a of a sphere with respect to radius is 4πr².  We're given the diameter, of 11 cm, so we know that the radius is 5.5 cm.

With that we can find the surface area:

[tex]a = 4\pi r^2\\a = 4\pi (5.5cm)^2\\a = 4\pi \times 30.25cm^2\\a = \pi \times 121cm^2\\a \approx 3.14 \times 121cm^2\\a \approx 379.9cm^2[/tex]

Answer:

[tex]m= \frac{6}{5}[/tex]

Step-by-step explanation:

Slope can be calculated using following formula

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here

[tex](x_1, y_1) = (-5, -1) \ \ and \ \ (x_2, y_2) = (5, 11)[/tex]

Slope m is given as

[tex]m=\frac{11-(-1)}{5-(-5)}[/tex]

[tex]m=\frac{12}{10}\\m=\frac{6}{5}[/tex]

Step-by-step explanation:

Jack road his bike 30 mile in 5 hours

1 mile he go=[tex]\tt{\dfrac{5}{30}hours }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{\dfrac{1}{6}hours }[/tex] ⠀

[tex]\rightsquigarrow[/tex] [tex]\tt{6 min }[/tex] ⠀

Answer:

Lol its 8

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

there is only one side on the big triangle and each of the little ones

Answer:

11x

Step-by-step explanation:

find what times itself gets 64 thats 8 so 64=8 now do the same to the 9=3 now you add 8+3=11 just add x

Answer:

Step-by-step explanation:

I don't do this question the way it is outlined. My way is a bit shorter.

The general equation is y = mx + b

You want the slope to be - 1/5 which you just read from the given equation.

So, so far you have y = -1/5x + b

Now for the point which is (5,-4)

x = 5

y = - 4

-4 = -1/5 * 5 + b

-4 = -1 + b

b = -4 + 1

b = - 3

the equation is y = -1/5 x - 3

===========================

Now let's do it your way.

y - y1 = m(x - x1)

x1 = 5

y1 = - 4

m = - 1/5

y - - 4 = -1/5(x - 5

y + 4 = -1/5x + 1        Take 4 from both sides

y = -1/5 x + 1 - 4

y = -1/5 x - 3

Same answer. I never knew that was possible.

Answer:

CT = 12

Step-by-step explanation:

CA = 2

AT =10

CT = CA + AT

=12

Answer:

CT = 12

Step-by-step explanation:

CT = CA + AT = 2 + 10 = 12

Answer:

I think is triangle.........

Answer:

? = 64

Step-by-step explanation:

36 + 84 + x = 180

x + 120 = 180

x = 60

60 + y = 90

y = 30

30 + 86 + ? = 180

? = 64

Answer:

56 miles

Step-by-step explanation:

Answer:

105 cm

Step-by-step explanation:

Answer: 210 tickets

Explanation:

1. Multiply the number of tickets he sold on Monday (21) by 3. (21x3=63)

2. Multiply the number of tickets he sold on Tuesday (63) by 2. (63x2=126)

3. Add all of those together to get the answer. (21+63+126=210)

Answer:

Option D is the answer hope it helps :)

Step-by-step explanation:

Answer:

x=2+√14

Step-by-step explanation:

log(x)+log(x−4)=1

log(x to the second power−4x)=1

Step 1: Solve Logarithm.

log(x2−4x)=1

10log(x2−4x)=101(Take exponent of both sides)

x2−4x=101

x2−4x=10

x2−4x−10=10−10(Subtract 10 from both sides)

x2−4x−10=0

For this equation: a=1, b=-4, c=-10

1x2+−4x+−10=0

x=

−b±√b2−4ac

2a

(Use quadratic formula with a=1, b=-4, c=-10)

x=

−(−4)±√(−4)2−4(1)(−10)

2(1)

x=

4±√56

2

x=2+√14 or x=2−√14

Check answers. (Plug them in to make sure they work.)

x=2+√14(Works in original equation)

x=2−√14(Doesn't work in original equation)

Answer:

x=2+√14

Answer: Profit for first boy =  $14

Profit for second boy =  $21

Step-by-step explanation:

Given : Ratio of profits = 2:3

Let profit for one boy = 2x and for another boy = 3x

Since combined profit = $35

Then, 2x+3x= 35

⇒ 5x= 35

⇒ x= 7  [divide both sides by 5]

Profit for first boy = 2 (7)= $14

Profit for second boy = 3 (7)= $21

Step-by-step explanation:

since he makes 4500 and 425 for laptops

and 125 for phones

It means he sold 10 laptops and 2 phones

Answer:

B D E

Step-by-step explanation:

Answer:

d^4-6d^3+d+17/d-2

A bit complicated, sorry about that.

Answer:

2.5 betul tak........

Step-by-step explanation:

i/o

Answer: $8.99

Step-by-step explanation:

From the question, we are informed that Pedro bought 4 tickets to go to "Off the Wall" and that he paid $35.96 without taxes.

To find the average price of tickets, we have to divide the amount paid by the tickets bought. This will be:

= $35.96 / 4

= $8.99

Answer: Hopeful (C) or Happy (D)

Step-by-step explanation:

It's saying a women walked into the room with joy as she's telling her plans.

Hopeful means feeling or inspriring optimism about a futer event.

Happy means feeling pleasure or cheerful.

Answer:

3. (1,15) and (6,30) = 30-15/6-1=3x

4. 66=3x+12 then 18 weeks

Answer:

Step-by-step explanation:

J

Answer:

[tex]\huge\boxed{\sf 83.876}[/tex]

Step-by-step explanation:

[tex]\sf = 13 \% \ of \ 645.2\\\\= \frac{13}{100 } * 645.2\\\\= \frac{13*645.2}{100} \\\\= 8387.6 / 100\\\\= 83.876\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

83.876

Step-by-step explanation:

Answer:

Free points

Step-by-step explanation: