(PLEASE HURRY! WILL AWARD BRAINLIEST)
Find the value of x to the nearest tenth. Show your work.

When proving by induction, your first step is to show that a given claim is true for some minimal case (often called the base case). The given statement is a claim about the sum of numbers of the form 2n + 1 where n is a positive natural number. The least positive natural number is n = 1, so that seems like a reasonable place to start.

Now, we show the claim holds for n = 1:

3 + 5 + 7 + … + (2n + 1) = n (n + 2)

is a statement about an arbitrary positive integer n; the case of n = 1 reduces to

3 = 1 (1 + 2) = 1 • 3 = 3

which is obviously true.

Next, we assume that the statement is true for some arbitrary positive integer n = k, so that

3 + 5 + 7 + … + (2k + 1) = k (k + 2)

This is called the induction hypothesis.

We then use this assumption to show that the claim is also true for the next positive integer, n = k + 1. This is the claim that

3 + 5 + 7 + … + (2k + 1) + (2 (k + 1) + 1) = (k + 1) (k + 1 + 2)

or

3 + 5 + 7 + … + (2k + 1) + (2k + 3) = (k + 1) (k + 3)

By the induction hypothesis, we have

3 + 5 + 7 + … + (2k + 1) + (2k + 3)

= k (k + 2) + (2k + 3)

= k² + 2k + 2k + 3

= k² + 4k + 3

= (k + 1) (k + 3)

and this is exactly what we wanted to show, that if P(k) is true, then P(k + 1) is also true.

This means we have

P(1) = true   ⇒   P(2) = true   ⇒   P(3) = true   ⇒   …

and so on, and the claim is true for all positive integers n.

Answer:

18

Step-by-step explanation:

33 - 3 = 30

30 ÷ 2 = 15

15 + 3 = 18

Answer:

x : x<y

Step-by-step explanation:

x = girls

y = boys

Hope it helps

Answer:

Q 6.

[tex]2x - x + 4(x - (x + 7) - 2) \\ x + 4(x - x - 7 - 2) \\ x + 4( - 9) \\ = x - 36[/tex]

____o___o___

Q 7.

o 1)

[tex] \frac{ {x}^{2} - 4 }{5 - x} \times \frac{ {x}^{2} - 8x + 15}{ {x}^{2} - 5x + 6 } \\ \\ \\ \frac{(x + 2)(x - 2)}{5 - x} \times \frac{(x - 5)(x - 3)}{(x - 3)(x - 2)} \\ \\ \\ \frac{(x + 2)}{5 - x} \times \frac{(x - 5)}{1} \\ \\ \\ \frac{(x + 2)}{ - ( - 5 + x)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - (x - 5)} \times (x - 5) \\ \\ \\ \frac{(x + 2)}{ - 1} \\ \\ = - (x + 2) \\ \\ = - x - 2[/tex]

___o___o___

o 2)

[tex] \frac{ {x}^{2} - 2x - 8 }{ {x}^{3} + 3 {x}^{2} } \div \frac{x - 4}{ {x}^{2} - 9} \\ \\ \\ \frac{ {x}^{2} - 2x - 8}{ {x}^{3} + 3 {x}^{2} } \times \frac{ {x}^{2} - 9 }{x - 4} \\ \\ \\ \frac{(x - 4)(x + 2)}{ {x}^{2}(x + 3) } \times \frac{(x + 3)(x - 3)}{x - 4} \\ \\ \\ \frac{x + 2}{ {x}^{2} } \times \frac{x - 3}{1} \\ \\ \\ = \frac{(x + 2)(x - 3)}{ {x}^{2} } \\ \\ \\ = \frac{ {x}^{2} - x - 6 }{ {x}^{2} } [/tex]

__o___o__

Q 8.

a.

[tex]10 {x}^{2} + 7x - 12 \\ = (5x - 4)(2x + 3)[/tex]

Answer:

n^3/m^2

Step-by-step explanation:

I simplified the expression and I got ( n^3/m^2)

m^(-2) * n^(3) = n^3/m^2

Answer:

Nick and Elaine can go on the boat safely

Elaine and Dario can go on the boat safely

Nick and Dario can NOT go on the boat safely

Step-by-step explanation:

Nick's weight + Elaine's weight = 268, 288<310

Elaine's weight + Dario's weight = 287, 287<310

Nick's weight + Dario's weight = 315, 315>310

Answer:

Nick And Elaine Can Go On The Boat Safely

Elaine And Dario Can Go On The Boat Safely

Nick And Dario can Not Go On The Boat Safely

Nick's weight + Elaine's Weight = 268

Elaine's Weight + Dario's Weight = 287

Nick's Weight + Dario's Weight = 315

◊ YusuCr ◊

Answer:

[tex]z = 24.5[/tex]

solving similarities:

steps:

[tex]\frac{2}{14} =\frac{7/2}{z}[/tex]

[tex]2z = \frac{14*7}{2}[/tex]

[tex]2z = 49[/tex]

[tex]z = 24.5[/tex]

Answer:

[tex]z = \dfrac{49}{2}[/tex]

Step-by-step explanation:

If the trapezoids are similar, then the ratio of side lengths will be equal.

[tex]\implies 14 : 2 = z : \dfrac72[/tex]

[tex]\implies \dfrac{14}{2}=\dfrac{z}{\frac72}[/tex]

[tex]\implies z=\dfrac{14}{2} \times \dfrac72[/tex]

[tex]\implies z = \dfrac{49}{2}[/tex]

[tex]A\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right][/tex]

[tex]B\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right][/tex]

[tex]Now,\\\\2B-A\\\\2\left[\begin{array}{ccc}3&-5&3\\2&3&1\\4&1&-3\end{array}\right]-\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}6&-10&6\\4&6&2\\8&2&-6\end{array}\right] -\left[\begin{array}{ccc}1&0&5\\0&-5&7\\0&3&-4\end{array}\right]\\\\=\left[\begin{array}{ccc}5&-10&1\\4&11&-5\\8&-1&-2\end{array}\right][/tex]

Row 1 column 2(a12)=-10

Hence,-10 is your answer.

Answer:

C. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.

Step-by-step explanation:

Exponential decay is when an exponential function decreases per x-value. These functions go by a multiplier and are therefore, not linear, so you cannot add or subtract. Because the function is decaying, it is multiplying by an amount less than 1, since the multiplier is 1 - r, where r is the percent.

Answer:

1000

Step-by-step explanation:

604 is close to 600.

392 is close to 400.

600 + 400 = 1000

Answer: 1000

Answer:

1,000

Step-by-step explanation:

Estimate means to round and sum means addition

604 rounds to 600

392 rounds to 400

600 + 400 = 1,000

I hope this helps! have a wonderful rest of ur day :)

Answer:

55

Step-by-step explanation:

This looks like it was written in Spanish. I can only answer you in English.

The 2 "c"s   tell you PM = MR, so QM is an angle bisector.

PQR is a right angle and = 90 degrees.

x is 1/2 PQR so x is 45 degrees

x + 10 = 45 + 10 = 55

Answer:

2) [tex](4 - 9x) {}^{ \frac{7}{2} } (4 - 9x) {}^{ \frac{7}{2} } [/tex]

3) in image 2

Answer:

no

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

[tex](\stackrel{x_1}{-14}~,~\stackrel{y_1}{-16})\qquad (\stackrel{x_2}{-18}~,~\stackrel{y_2}{-17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{(-16)}}}{\underset{run} {\underset{x_2}{-18}-\underset{x_1}{(-14)}}}\implies \cfrac{-17+16}{-18+14}\implies \cfrac{-1}{-4}\implies \cfrac{1}{4}[/tex]

answer:

= 3n^2 + 3

...........

[tex]\huge\mathbb\pink{ANSWER:}[/tex]

[tex]\huge\tt\blue{3n² + 3}[/tex]

[tex] \large\tt\pink{••••••••••••••••••••••••••••••••••••••••••••••••••••••••}[/tex]

[tex](6n^{2} + 5) + ( - 3^{2} - 2)[/tex]

[tex]6 {n}^{2} + 5 - 3 {n}^{2} - 2[/tex]

[tex](6 {n}^{2} - 3 {n}^{2} ) + (5 - 2)[/tex]

[tex](6 - 3) {n}^{2} + (5 - 2)[/tex]

[tex]3 {n}^{2} + (5 - 2)[/tex]

[tex]\large\tt\blue{3n² + 3}[/tex]

[tex] \large\tt\pink{••••••••••••••••••••••••••••••••••••••••••••••••••••••••}

[/tex]

Answer:

y(0.75+7) = 0.75y + 7y

Step-by-step explanation:

....

Answer:

if you open the bracket by multiplying y with the sum of the numbers you will have 7.75y

Answer:

A.

Step-by-step explanation:

Rule:

When 2 or more exponents divide, they subtract.

Divide using the rule:

[tex] {4}^{36} \div {4}^{9} = {4}^{36 - 9} = {4}^{27} [/tex]

B, C, and D are incorrect.

A is the correct option.

[tex]( {4}^{9} )^{3} = {4}^{9 \times 3} = {4}^{27} [/tex]

Answer:

6 inches

Step-by-step explanation:

There are 12 inches in 1 foot so

12 inches X 4 feet = 48 inches

Then we subtract the 48 in minutes the 42 in to find the difference between Noelle and Oliver's height

48-42=6

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

[tex]1+(3x-3)=1[/tex]

First, you have to take the one that is outside of the Parenthesis and take it to the other side. That would mean it would be this:

[tex]3x-3=1-1[/tex]

1 - 1 is 0

[tex]3x-3=0\\[/tex]

Move the -3 to the other side, which makes it positive;

[tex]3x=3[/tex]

Divide both sides by 3

[tex]x=1[/tex]

If you want to check it, you can replace 1 in the original equation:

[tex]1+(3X1-3)=1[/tex]

[tex]1+(0)=1[/tex]

[tex]1=1[/tex]

So x=1

Answer:

y = 3

Step-by-step explanation:

Subtract 3 from both sides of the equation

y + 3-3 = -y + 9-3

Simplify

y = -y + 6

Add y to both sides of the equation

y+y=-y+6+y

Simplify

2y = 6

Divide both sides of the equation by the same term

2y/2 = 6/2

Simplify

y = 3

[RevyBreeze]

The solution of the Equation is y= 3.

We have, the equation is

y + 3 = -y + 9

y + y = 9 - 3

2y = 6

Now, divide both side we get

2y = 6

2y/ 2 = 6/ 2

y = 3

Thus, the solution of y is 3.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ7

Answer:

336cm is 3.36m

Step-by-step explanation:

divide 336 by 100 to get to meters which is 3.36m

Answer:

[tex]\boxed{\frac{336}{1} = \frac{336}{100} = 3.36 }[/tex]

1 meter → 100 centimetres

solve:

100 centimetres → 1 meter

1 centimetres → [tex]\frac{1}{100}[/tex] meter

336 centimetres → [ [tex]\frac{1}{100}[/tex] [tex]* 336[/tex] ] meter

3.36 meter

Answer:

(-1)/16

Step-by-step explanation:

-4^-2 = -1/((4)(4)) = True

(-1)/4^2

Evaluate 4^(-2).

4^(-2) = 1/16:

Answer: -1/16

Simplify the following:

(-1)/(4×4)

Hint: | Multiply 4 and 4 together.

4×4 = 16:

Answer: (-1)/16

Answer:

the answer is 19.0384615385

Answer:

33

Step-by-step explanation:

divide 858 by 26

P.S. sorry I am really tired that is why it not as good of an explanation

Answer:

78

Step-by-step explanation:

A fraction equivalent to 1 would be 2/2. 78 X 2/2 is 78

Answer:

  2/3 gallon

Step-by-step explanation:

If y is the amount Tommy should use, and he want to keep the same proportion, then the proportion is ...

  y/(2 gal) = (1/2 gal)/(3/2 gal) = yellow/blue

  y = (2 gal)(1/3) = 2/3 gal

Tommy should use 2/3 gallon of yellow paint.