question#18
will give brainliest!

Answer:

4.5

Step-by-step explanation:

3/2+ 1/2 = 4/2 = 2

2(2)+1/2

4 + 1/2

4 1/2 or 4.5 in decimal form

Answer:

2m + 4n

Step-by-step explanation:

What's distributive property?

Given the information above, let's distribute 2 to m and 2n.

Therefore, the answer is 2m + 4n.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

y = (slope) + (y-intercept)

Step-by-step explanation:

You put them both together.

Answer:

y = -3x + 2.5

Step-by-step explanation:

3x + 2y = 5

-3x              -3x

2y = 5 -3x

/2     /2

y = -3x + 2.5

Answer:

a) 15 000 litres

b) 1/3

Step-by-step explanation:

a) Since the pool has 7500 litres when half full, it must have double that when full.

7500 * 2 = 15 000

b) Since the full pool is 15000, when the pool has 5000 litres it has 5000 out of 15000, hence the fraction 5000/15000 which simplifies to 1/3.

Simplification: divide the numerator and denominator by 5000.

Answer:

a) 15000

b) 1/3

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.985 = 98.5% probability that you will need to "walk" a guest tonight.

For each guest, there are only two possible outcomes, either they arrive, or they do not. The probability of a guest arriving is independent of any other guest, hence, the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

If at least one shows up, you will need to "walk" a guest tonight, hence the probability is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.65)^{0}.(0.35)^{4} = 0.015[/tex]

Then:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.015 = 0.985[/tex]

0.985 = 98.5% probability that you will need to "walk" a guest tonight.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer: M∠2 just mean measure of angle 2,

Step-by-step explanation: So I worked it out and the awnser is B.

3 numbers/the degrees of all 3 sides always add up to 180 degrees.

Side 1 is 60 degrees and the left side is 20, so 20 + 60 + 3 (unkown    number) = 180

60 - 20 = 100,

Answer:

40+4.5p=112, and 16

Step-by-step explanation:

Roger always starts off with the same $40. Then, he gets $4.5 for every pair of shoes he sells. So, if the number of shoes sold is p, we then have the equation:

40+4.5p=112

The next part of the question asks for us to solve this equation, basically. We subtract 40 from both sides:

4.5p=72

p=72/4.5 (Divide both sides by 4.5)

p=16

Answer:

∠C and ∠R

Step-by-step explanation:

1. ∠C and ∠T don't match

- One slanted, One Straight

2. ∠D and ∠T don't match

- One slanted, One Straight

3. ∠C and ∠R both match

- Both Straight

4. ∠D and ∠U don't match

- One slanted, One Straight

Answer:

B) Convergent infinite geometric series sum to a single value

Step-by-step explanation:

An infinite geometric series of the form [tex]\[ \sum_{r=1}^{\infty} ar^{n-1}[/tex] converges if [tex]|r|<1[/tex], so the summation of the series will result in a single value if that is true.

Answer:

3 1/3

Step-by-step explanation:

-6 ÷ (-1 4/5) =

= -6 ÷ (-9/5)

= 6 × 5/9

= 30/9

= 10/3

= 3 1/3

Answer:

Solution,

[tex]5x+12=6x-10\\12+10=6x-5x\\22=x\\x=22[/tex]

Step-by-step explanation: They are equal because they are vertically opposite angles.

Hope it will help you.

Step-by-step explanation:

He would have 211 left. 750- 539= 211

Answer:

The answer is 3π/4 radians

Answer:

24 1/4

Step-by-step explanation:

Multiply the 17 and 2/4 by 2 and then subtract.

Answer:

I Believe the answer is 20

Answer:

[tex]x=\frac{2\pm i\sqrt{6}}{2}[/tex]

Step-by-step explanation:

[tex]-2x^2+4x=5\\\\-2x^2+4x-5=0\\\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\ \\x=\frac{-4\pm\sqrt{(4)^2-4(-2)(-5)}}{2(-2)}\\\\x=\frac{-4\pm\sqrt{16-40}}{-4}\\\\x=\frac{-4\pm\sqrt{-24}}{-4}\\ \\x=\frac{-4\pm2i\sqrt{6}}{-4}\\ \\x=\frac{2\pm i\sqrt{6}}{2}[/tex]

Answer:

[tex]x[/tex] = 6.34  to the nearest hundredth

Step-by-step explanation:

The three sides of a right-angled triangle have specific names:

The 3 trigonometric ratios are:

[tex]sin(\theta)=\frac{O}{H} \\\\cos(\theta)=\frac{A}{H} \\\\tan(\theta)=\frac{O}{A}[/tex]

For the given triangle we are given the angle, the hypotenuse, and need to find the side that is OPPOSITE to the angle.

Therefore, we would use the trig ratio:  [tex]sin(\theta)=\frac{O}{H}[/tex]

Substituting the values from the triangle:  [tex]sin(25)=\frac{x}{15}[/tex]

Multiply both sides by 15:  [tex]15sin(25)=x[/tex]

Therefore, [tex]x[/tex] = 6.339273926...

So [tex]x[/tex] = 6.34 to the nearest hundredth

Here you go enjoy

Have a good rest of your night

Answer : 4/7

Here it's given that Brad's family travelled 2/7 of the total distance to his uncle's house on Saturday . So if we assume the total distance to be 1 , then the remaining distance will be ,

[tex]\sf\longrightarrow 1 - \dfrac{2}{7}=\dfrac{7-2}{7}=\boxed{\dfrac{5}{7}}[/tex]

Again it's given that they travelled 4/5 of the remaining distance on Sunday . So , the distance travelled would be ,

[tex]\sf\longrightarrow \dfrac{4}{5}\times \dfrac{5}{7}=\boxed{\sf \dfrac{4}{7}} [/tex]

Therefore Brad's family travelled 4/7 of the total distance on Sunday .

Answer:

284.6 cm^2

Step-by-step explanation:

if the radii of inner circles are 3 and 7 respectively, then radius of big circle is 10

100×3.14 = 314 cm^2

Answer:

396 in

Step-by-step explanation:

Circumference of circle = [tex]\pi[/tex]d

(where d is the diameter)

Therefore, using [tex]\pi[/tex] = 22/7:

circumference = (22/7) x 126 = 396 in

If your teacher wants you to find a positive integer for n that will make [tex]n^3+2n[/tex] not divisible by 3, then you'll be searching for quite a while.

This is because Rehan is correct in the statement that [tex]n^3+2n[/tex] is divisible by 3 for any positive integer n.

n = {1,2,3,...}

For example, if n = 5, then

[tex]n^3+2n = 5^3+2(5) = 125+10 = 135[/tex]

That is divisible by 3 because 135/3 = 45 is a whole number result without any decimal or fractional extras.

---------------

Here's the proof that Rehan probably used or set up.

Base case: Plug in n = 1 to find that [tex]n^3+2n = 1^3+2(1) = 3[/tex] which is definitely divisible by 3.

Inductive step:

Assume that [tex]k^3+2k[/tex] is divisible by 3 for some integer k > 1.

The goal is to then show it leads to [tex](k+1)^3+2(k+1)[/tex] is also divisible by 3.

Skipping a bunch of steps, you should find that [tex](k+1)^3+2(k+1) = (k^3+2k) + 3(k^2+k+1)[/tex]

The first part k^3+2k is already assumed to be a multiple of 3, so we don't need to worry about it. The second part 3(k^2+k+1) is also a multiple of 3 because 3 is a factor.

Summing any two multiples of 3 gets us another multiple of 3.

Therefore, this concludes the proof that Rehan would have done. There are probably alternative proof methods he could have used, but he likely followed these steps or similar when doing the induction proof.

---------------

Long story short, the fact that the statement [tex]n^3+2n \text{ is divisible by } 3[/tex] is proven to work with any integer n from the set {1,2,3,...} means that we cannot find a counterexample.

Answer:

[tex]10. \frac{g}{3} - 7 = 15[/tex]

[tex]g - 7 = 15 \times 3[/tex]

[tex]g - 7 =4 5[/tex]

[tex]g = 45 + 7[/tex]

[tex]g = 52[/tex]

[tex]16. - 3 + \frac{p}{7} = - 5[/tex]

[tex] - 3 + p = - 5 \times 7[/tex]

[tex] - 3 + p = - 35[/tex]

[tex]p = - 35 + 3[/tex]

[tex]p = - 32[/tex]

Answer:

[tex]\frac{2x+4}{x^{2}-x-6 } \\\frac{2x+4}{x^{2} +2x-3x-6} \\\frac{2x+4}{x(x+2)-3(x+2)} \\\frac{2x+4}{(x-3)(x+2)}[/tex]

Step-by-step explanation:

The sequence of numbers when x₁ = 1 of the given series [tex]x_{n+1}[/tex] =  [tex]{x_{n}}^2[/tex] + xₙ will be 1,  2,  6,  42,...

A sequence's series is the total number of terms in the sequence.

A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.

As per the given series,

[tex]x_{n+1}[/tex] =  [tex]{x_{n}}^2[/tex] + xₙ

Substitute,n = 1 into

x₂ = x₁² + x₁

x₂ = (1)² + 1 = 2

Substitute,n = 2

x₃ = x₂² + x₂

x₃ = 2² + 2

x₃ = 6

Substitute,n = 3

x₄ = x₃² + x₃

x₃ = 6² + 6

x₃ = 42

Hence "The sequence of numbers when x₁ = 1 of the given series [tex]x_{n+1}[/tex] =  [tex]{x_{n}}^2[/tex] + xₙ will be 1,  2,  6,  42,...".

For more information about the series,

brainly.com/question/15415793

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The given question is incorrect,correct question is,

A sequence of numbers is formed by the iterative process xn+1=(xn)^2+xn Describe the sequence of numbers when x1=1

Show your working to justify your answer