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3 years ago

Please help me with this question! ASAP

Mathematics

2 answers:

Angelina_Jolie [31]3 years ago

6 0

5x - 3.

5 x x Doesn't make sense, so. 5x.

Three less. So 3 would go after.

Please tell me if I am wrong, and hope it helps!

Neko [114]3 years ago

3 0

3-5x=12 would be the equation

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Wich tool is used to measure the lengths of segments when preforming a formal geometric construction

Dmitrij [34]

A ruler as that is the only option that can measure segments

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3 years ago

<img src="https://tex.z-dn.net/?f=%24a%2Ba%20r%2Ba%20r%5E%7B2%7D%2B%5Cldots%20%5Cinfty%3D15%24%24a%5E%7B2%7D%2B%28a%20r%29%5E%7B

riadik2000 [5.3K]

Let

$S_n = \displaystyle \sum_{k=0}^n r^k = 1 + r + r^2 + \cdots + r^n$

where we assume |r| < 1. Multiplying on both sides by r gives

$r S_n = \displaystyle \sum_{k=0}^n r^{k+1} = r + r^2 + r^3 + \cdots + r^{n+1}$

and subtracting this from $S_n$ gives

$(1 - r) S_n = 1 - r^{n+1} \implies S_n = \dfrac{1 - r^{n+1}}{1 - r}$

As n → ∞, the exponential term will converge to 0, and the partial sums $S_n$ will converge to

$\displaystyle \lim_{n\to\infty} S_n = \dfrac1{1-r}$

Now, we're given

$a + ar + ar^2 + \cdots = 15 \implies 1 + r + r^2 + \cdots = \dfrac{15}a$

$a^2 + a^2r^2 + a^2r^4 + \cdots = 150 \implies 1 + r^2 + r^4 + \cdots = \dfrac{150}{a^2}$

We must have |r| < 1 since both sums converge, so

$\dfrac{15}a = \dfrac1{1-r}$

$\dfrac{150}{a^2} = \dfrac1{1-r^2}$

Solving for r by substitution, we have

$\dfrac{15}a = \dfrac1{1-r} \implies a = 15(1-r)$

$\dfrac{150}{225(1-r)^2} = \dfrac1{1-r^2}$

Recalling the difference of squares identity, we have

$\dfrac2{3(1-r)^2} = \dfrac1{(1-r)(1+r)}$

We've already confirmed r ≠ 1, so we can simplify this to

$\dfrac2{3(1-r)} = \dfrac1{1+r} \implies \dfrac{1-r}{1+r} = \dfrac23 \implies r = \dfrac15$

It follows that

$\dfrac a{1-r} = \dfrac a{1-\frac15} = 15 \implies a = 12$

and so the sum we want is

$ar^3 + ar^4 + ar^6 + \cdots = 15 - a - ar - ar^2 = \boxed{\dfrac3{25}}$

which doesn't appear to be either of the given answer choices. Are you sure there isn't a typo somewhere?

7 0

2 years ago

The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be

Temka [501]

Some of the many possible answers can be..
3.3
2.2
0.5

6 0

3 years ago

If there are a total of 25 questions, and I scored 56% on my test, how many answers did I get right, and how many answers did I

Ipatiy [6.2K]

Answer:

14 correct and 11 wrong

Step-by-step explanation:

If you got a 56% , we need to change this to decimal form 56% = .56

This is the percent you got right

.56* 25 = 14

You got 14 questions right

To determine the number of questions you got wrong, take the total number of questions minus the number you got right.

25-14 =11

You got 11 wrong

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3 years ago

An airplane travels at a constant speed of 300 miles per hour. How far, in miles, will the airplane travel in 20 minutes?

Strike441 [17]

Answer:

100 miles in 20 minutes.

Step-by-step explanation:

300/60 = x/20

x = 300/60 * 20

x = 100

7 0

2 years ago