Write an explicit formula for an,
the nth
term of the sequence 31, 37,43, ....

Answer:

27.3 mi2, the first option

Step-by-step explanation:

Area of a triangle is [tex]\frac{1}{2}[/tex] x base x height

Length of the base is 9.1mi and height is 6mi.

So, the Area would be:-

[tex]\frac{1}{2}[/tex] x 9.1 x 6

[tex]\frac{1}{2}[/tex] x 54.6

[tex]\frac{54.6}{2}[/tex]

= 27.3 mi2

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given information, we can solve for h.

  15 ft² = 1/2(4 ft +6 ft)h

  15 ft² = (5 ft)h

  h = (15 ft²)/(5 ft) = 3 ft

The height of the trapezoid is 3 feet.

Answer:

C) 0.55...

Step-by-step explanation:

Answer:

x =35

y=72.5 and the 2nd y also equals 72.5

Step-by-step explanation:

x=35- it is a vertical angle

both ys + 35 makes a straight line (180)

2y+35=180

2y=145 (subtract 35 from both sides)

y=72.5 (divide by 2)

Answer:

b and d

Step-by-step explanation:

edge 2021

If the first term (a) is 4 and the common ratio (r) is 0.9, then the sequence diverges. Then the correct option is D.

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

a, ar, ar², ar³, ...

The sequence is given below.

[tex]\rm a_n = 4 (0.9)^n[/tex]

Then the sum of the sequence will be given as

The first term (a) is 4. And the common ratio (r) is 0.9.

Then we get

[tex]\rm S_n = \dfrac{a (1 - r ^n)}{ (1 - r)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{ (1 - 0.9)}\\\\\rm S_n = \dfrac{4 (1 - 0.9 ^n)}{0.1}\\\\\rm S_n = 40 (1 - 0.9^n)[/tex]

For n = 1, we have

S₁ = 40 (1 - 0.9)

S₁ = 40 x 0.1

S₁ = 4

For n = 2, we have

S₂ = 40 (1 - 0.9²)

S₂ = 40 x 0.19

S₂ = 7.6

For n = 3, we have

S₃ = 40 (1 - 0.9³)

S₃ = 40 x 0.271

S₃ = 10.84

If the common ratio is less than one then the sequence will diverge.

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Answer:

80 square units

Step-by-step explanation:

beep

the correct answer is 25

Answer:

The answer: 18-12=6

Step-by-step explanation:

Step 1:

Alex:

Part=Whole*Percentage

So just plug in the numbers

Part=60*0.20=12

Step 2:

Siri:

Part=Whole*Percentage

Part=60*0.30=18

Step 3:

18-12=6

Answer:

7(-4 - x) = -28 - 7x

-7(4 - x) = -28 + 7x

7(4 + x) = 28 + 7x

-7(-4 + x) = 28 - 7x

Step-by-step explanation:

To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.

Thus:

✔️7(-4 - x) = 7(-4) +7(-x)

= -28 - 7x

✔️-7(4 - x) = -7(4) -7(-x)

= -28 + 7x

✔️7(4 + x) = 7(4) + 7(+x)

28 + 7x

✔️-7(-4 + x) = -7(-4) -7(+x)

= 28 - 7x

Answer:

Draw a graph of f(x) and q(x) also find x-intercept and y

Answer:

the answer is 3/8

Step-by-step explanation:

Answer:

Mean: 12.166

Median: 14

Step-by-step explanation:

Answer:

mean: 73 ÷ 6 (amount of numbers in the list) = 12.166

median (middle number): 14

Step-by-step explanation:

to find the mean (average) you add all the numbers in the list and divide by the numbers there are (6 in the above problem)

2+7+13+15+17+18 = 73÷6 = 12.16

Answer:

192 markers

Step-by-step explanation:

if 8 = 4% then 2=1%

so we can assume there are 200markers in the package.

8-200= 192 markers

Answer:

Step-by-step explanation:

Can you please answer the Sundip Ratio question?

£180.00

The amount of money Sundip have  £ 2700.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

ratio of sundips money : emmas money = 3:5

emma spends £450

ratio of sundips money : emmas money = 2:3

So, Sundip have money = 3x and Emma have money = 5x.

Now, Emma spends £450.

then she is left = (5x-450).

Now, the ratio of Sundip's money to Emma's money is given as 2:3 = 2/3.

2/3 = 3x/(5x-450).

2(5x-450) = 3*3x

10x - 900 = 9x

x = 900.

Thus, Sundip have 3x = 3 x 900 = 2700.

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Answer:

The quotient of 3/5 and 2/3 is 9/10 in fraction and 0.9 in decimal.

Answer:

9/10

Step-by-step explanation:

(3/5)/(2/3)=(3/5)(3/2)=9/10

Answer: 83.7

Step-by-step explanation: Do 0.3 x 279 to get 83.7.

Answer:

The rate of change is -2

Step-by-step explanation:

Given

[tex]y = -2x - 52[/tex]

Required

The rate of change

The slope intercept of a fuction is:

[tex]y =mx + b[/tex]

Where

[tex]m \to[/tex] rate of change

So, by comparison; [tex]y = -2x - 52[/tex] and [tex]y =mx + b[/tex]

[tex]m = -2[/tex]

[tex]\mathcal\pink{The \: answer \: is }[/tex]

only one window has height that is a whole number of centimeters

[tex]\mathcal{HOPE \: IT \: HELPS}[/tex]

[tex]\huge\pink{mark \: as \: brainliest}[/tex]

Answer:

it's called property tax

Step-by-step explanation:

when you have to pay taxes on property you have its property tax

Answer:

(a) The average rate of change is 0

(b) The values of x are: [tex]x =4\ or\ x = -4[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 16 - x^2; [-4,4][/tex]

Solving (a): The average rate of change (m)

This is calculated using:

[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex][a,b] = [-4,4][/tex]

So:

[tex]m = \frac{f(4) - f(-4)}{4 - -4}[/tex]

[tex]m = \frac{f(4) - f(-4)}{8}[/tex]

Solve f(4) and f(-4)

[tex]f(4) = 16 - (4^2) = 16 - 16 = 0[/tex]

[tex]f(-4) = 16 - (-4^2) = 16 - 16 = 0[/tex]

So:

[tex]m = \frac{f(4) - f(-4)}{8}[/tex]

[tex]m = \frac{0 - 0}{8}[/tex]

[tex]m = \frac{0}{8}[/tex]

[tex]m = 0[/tex]

Solving (b): All values of x where [tex]f(x) = m[/tex]

In (a), we have:

[tex]m = 0[/tex]

So:

[tex]f(x) = 0[/tex]

So, we have:

[tex]f(x) = 16 - x^2[/tex]

[tex]16 - x^2=0[/tex]

Express 16 as [tex]4^2[/tex]

[tex]4^2 - x^2=0[/tex]

Apply difference of two squares

[tex](4 - x)(4 + x) = 0[/tex]

Split

[tex]4 - x =0; 4 + x = 0[/tex]

Solve for x

[tex]x =4\ or\ x = -4[/tex]

We will find that the average of the function over the given interval is 0, and the two values of x such that the function is equal to the average are x = -4 and x = 4.

To find the average of a function f(x) over an interval [a, b] we need to compute:

[tex]\frac{f(b) - f(a)}{b -a}[/tex]

In this case we have:

f(x) = 16 - x^2

And the interval is:

[-4, 4]

We will get:

[tex]\frac{(16 - (4)^2) - (16 - (-4))^2}{4 - (-4)} = \frac{0}{8} = 0[/tex]

So the function has an average of 0 over that interval.

B) Here we just need to solve:

f(x) = 16 - x^2 = 0

We will get:

16 - x^2 = 0

16 = x^2

±√16 = x

±4 = x

So the solutions are x = 4 and x = -4.

If you want to learn more about averages of functions, you can read:

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Answer:

Your equation is:

(x−5)2+(y+8)2=92

Expanding from general form you can write this as:

x2−10x+y2+14y+−8=0

Step-by-step explanation:

i think its correct ig don't know sry but i tried hope it helps you ✨

Answer:

[tex](x+5)^2+(y-8)^2=81[/tex]

Step-by-step explanation:

General equation of a circle is [tex](x-a)^2+(y-b)^2=r^2[/tex].

Center coordinates = (-5, 8)

a = -5           b = 8          r = 9

[tex]\\(x+5)^2+(y-8)^2=9^2[/tex]

[tex](x+5)^2+(y-8)^2=81[/tex]

Please do mark as brainliest. Hope this helps! :)

Answer:

Step-by-step explanation:

i need to see the diagram, to help you

Answer:

A,D,F are less then 1/2

Step-by-step explanation:

Answer:

1/8

1/16

1/6

Step-by-step explanation:

1. 1/2 = 0.5              2. 1/2 = 0.5

  1/6 = 0.167               1/8 = 0.125

Answer:

Step-by-step explanation:

y= -1/4x

Answer:

After 30 years

Step-by-step explanation:

population×2=20 years

population×2×1.5=20×1.5 years

population×3=30 years

Answer:

−4−(3)(0)−4−(3)(0)

=−8

Answer:

-2 and 1/3

Step-by-step explanation:

-4+-3+0+-4+-3+0 = -14

6 numbers

-14/6 = -2 1/3

Answer:

$1,125.26

Step-by-step explanation:

Start of Year 1 5000.00

Start of Year 2 5350.00

Start of Year 3 5724.50

Start of Year 4 6125.26