The table shows values of n and f(n) for the equation f(n) =
n(n+3)
2.
f(n)
1
2
2
5
3
9
4
?
What is the value of f(n) when n =
= 42
A 12
B. 13
C. 14
D. 28
E

Answer:

64 miles per gallon

27 feet per second

14 quarts in a barrel

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

(1)

The distance walked ( arc length ) is calculated as

arc = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{210}{360}[/tex]

     = 2π × 45 × [tex]\frac{21}{36}[/tex]

     = 90π × [tex]\frac{7}{12}[/tex]

     ≈ 165 ft ( to the nearest foot )

(2)

The area (A)  covered is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{122}{360}[/tex]

   = π × 18² × [tex]\frac{61}{180}[/tex]

   = 324π × [tex]\frac{61}{180}[/tex]

    ≈ 345 in² ( to the nearest square inch )

(3)

The area (A) is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{80}{360}[/tex] ( r is the distance shot by sprinkler )

   = π × 75² × [tex]\frac{8}{36}[/tex]

   = 5625π × [tex]\frac{2}{9}[/tex]

   ≈ 3927 ft² ( to the nearest square foot )

Answer:

9514 1404 393

Answer:

top down: 1, 5, 6, 4, 8, 2, 3, 7

Step-by-step explanation:

It appears the expected order may be ...

__

Write the formula for the arc length of a circle with central angle, θ, in degrees.

\textit{Arc Length}=\dfrac{\theta}{360^{\circ}}\cdot 2\pi rArc Length=

360

∘

θ

⋅2πr

Replace 360° with 2π radians.

\dfrac{\theta}{360^{\circ}}=\dfrac{\theta}{2\pi}

360

∘

θ

=

2π

θ

Replace the angle ratio in degrees with the angle ratio in radians.

\textit{Arc Length}=\dfrac{\theta}{2\pi}\cdot 2\pi rArc Length=

2π

θ

⋅2πr

Simplify by cancelling

\textit{Arc Length}=\theta rArc Length=θr

Answer:

-1.5x + 3

Step-by-step explanation:

The Y-intercept is visible, wherever the line is touching the Y-Axes is the intercept. Use this formula to solve for slope:

Answer:

17550 solutions

Step-by-step explanation:

Given that:

y1 +y2+y3+y4=27

where;

(yi  ≥ 0 and yi [tex]\epsilon[/tex] [tex]{\displaystyle \mathbb {Z} }[/tex]  )

The no. of a nonnegative integer determines the number of ways to choose 27 objects from (4) distinct objects with repetition regardless of the order.

i.e

[tex]\bigg(^{27}_{4} \bigg)[/tex]

∴

The number of nonnegative integer solution is [tex]\bigg(^{27}_{4} \bigg)[/tex]

[tex]= \dfrac{27!}{4!(27-4)!}[/tex]

[tex]= \dfrac{27!}{4!(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 \times 23 !}{4\times 3\times 2\times 1(23)!}[/tex]

[tex]= \dfrac{27\times 26\times 25\times 24 }{4\times 3\times 2\times 1}[/tex]

[tex]= \dfrac{421200}{24}[/tex]

= 17550 solutions

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

Answer:

reeee whenever it was happy bday ily by :)

Answer:

This is sooo easy

Step-by-step explanation:

The answer is B

because It does not go through the Origin

every time they ask if something is proportional

ALWAYS check if its a straight line or if  it go through the origin

hope I helped sorry If you get it wrong

Answer:

The answer is C. Hope it helps :)

Answer:

I think C Will help...

Answer:

D 7a - 11b

Step-by-step explanation:

9a- b -2a - 10b

7a - b -10b

7a - 11b

Answer:

I believe the correct answer is D.

Step-by-step explanation:

Answer:

she received 21 more

Step-by-step explanation:

43 + 34 =77

98-77= 21

Hope this helps!!!

Answer:

I'm not sure if i'm correct but i'm guessing no

Step-by-step explanation:

Answer:(24/60)*7=2.8 miles

Step-by-step explanation:

24/60x7

Answer:

Total people on the tour will be: 105 people

Step-by-step explanation:

Given that 84% of the people on the trail are on a hiking tour.

We need to determine how many people are on the tour.

i.e.

People are on the tour = 84% × 125

                                      = 84/100 × 125

                                      = 0.84 × 125

                                      = 105 people

Therefore, total people on the tour will be: 105 people

Answer:

[tex] y = -\frac{10}{3}x - 23 [/tex]

Step-by-step explanation:

Find slope (m) using of the line that passes through (-9, 7) and (-6, -3).

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-3 - 7}{-6 -(-9)} = \frac{-10}{3} = -\frac{10}{3} [/tex]

Find y-intercept (b) by substituting m = -10/3, x = -6, and y = -3 in y = mx + b.

Thus:

-3 = (-10/3)(-6) + b

-3 = 20 + b

Subtract 20 from each side

-23 = b

b = -23

substitute m = -10/3, and b = -23 in y = mx + b, to get the equation.

The equation of the line would be:

✅ [tex] y = -\frac{10}{3}x + (-23) [/tex]

[tex] y = -\frac{10}{3}x - 23 [/tex]

Answer: I cant really read the questions.

Step-by-step explanation:

Answer:

43.2 MB

Step-by-step explanation:

The amount that has been downloaded is 17.5% of 247 MB. This is equal to 17.5% [tex]\times[/tex] 247 (in general, "of" always indicates that you should multiply). 17.5% is equal to [tex]17.5/100[/tex], or 0.175.

Therefore, the amount that has been downloaded is 0.175 * 247, which is 43.225 MB. Rounded to the nearest tenth, this is 43.2 MB.

Answer:

?

Step-by-step explanation:

Answer:

there is no circle

Step-by-step explanation:

you can add a photo with the lil link looking thing when you first ask the question

Answer:

srry no circle. I'd be happy to help if you update it tho.

Step-by-step explanation:

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{81^2=81\times81\rightarrow\bf{6,561}}[/tex]

[tex]\mathsf{(6,561)^{\dfrac{1}{8}}= \bf{3}}[/tex]

[tex]\boxed{\boxed{\mathsf{Therefore, your\ answer\ is: \boxed{\huge\textsf{\bf{C. 3}}}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

c

Step-by-step explanation:

because I said so " But rearle you cant start a sentence with because"

ok then, The answer is C because I said so

Answer:

1200

Step-by-step explanation:

1680/1050 = 1920/x

1680x = 2,016,000

x=1200

There are 1200 vertical pixels.

This is a ratio problem, which uses ratios to relate different items in the question. In a ratio problem, it's important to remember to

1) Write the items in the ratio as a fraction.

2) Make sure that you have the same items in the numerator and denominator.

The first step is to assign variables. Let x = vertical resolution of the 23" monitor.

Write the items in the ratio as a fraction.

[tex]\frac{horizontal}{vertical} = \frac{1680}{1050} = \frac{1920}{x}[/tex]

Solve the equation.

      Cross multiply:

[tex]1680*x = 1920 * 1050[/tex]

[tex]1680x=2016000[/tex]

       Isolate variable x:

[tex]x=\frac{2016000}{1680}[/tex]

[tex]x=1200[/tex]

Answer:

L'(6,8)

Step-by-step explanation:

If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)

Answer:

Total amount of money (including interest) = $ 1417

Step-by-step explanation:

Total amount = 545 × [tex]\frac{100+4}{100}[/tex] × 2.5

                      = 1417

To find interest only, minus 545 from 1417 :)

Answer:

Step-by-step explanation:

-(12-8x)=5x+15-7x

-12+8x=5x+15-7x

8x+7x-5x=15+12

10x=27

x=27/10

Answer:

x = 27/10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

-(12 - 8x) = 5x + 15 - 7x

Step 2: Solve for x

Answer:

6  

25

27

64

764

It's just ascending order, easy.

Answer:122.222222

Step-by-step explanation: hope this helps

can i have brainliest?  

[tex]\textsf{Hey there!}[/tex]

[tex]\mathsf{-3n + 7 < 4}\\\\\textsf{SUBTRACT by 7 on your sides}\\\mathsf{-3n+7-7<4-7}\\\mathsf{Cancel\ out: 7-7\ because\ that\ gives\ you\ 0}\\\mathsf{Keep: 4-7\ because\ it\ helps\ us\ solve\ for\ our\ n \ value}\\\bf{{\mathsf{4-7= -3}}}\\\\\mathsf{New\ question: -3n<-3}\\\\\mathsf{DIVIDE\ both\ sides\ by\ -3}\\\mathsf{\dfrac{-3n}{-3}=\dfrac{-3}{-3}}\\\mathsf{Cancel\ out: \dfrac{-3}{-3} \ because\ gives\ us\ 1}\\\mathsf{Keep: \dfrac{-3}{-3}\ because\ it\ gives\ us\ our\ n\ value}[/tex]

[tex]\mathsf{New\ equation: n < \dfrac{-3}{-3}}\\\mathsf{\dfrac{-3}{-3} = -3\div-3 \rightarrow 1}\\\\\huge\textsf{Answer}\huge\downarrow\\\\\boxed{\boxed{\mathsf{Answer: n < 1}}}\checkmark\\\\\\\\\textsf{Good luck on your assignment and enjoy your day!}\\\\\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]