Which is the smallest fraction represented?

A: 8/9
B: 5/9
C: 2/9
D: 1/9​

Answer:

Soln,

32°+a=90°[right angled triangle]

or,a=90°-32°

or,a=58°

•°•a=58°

The measure of the missing angle is, a = 58 degree

Used the concept of complementary angle that states,

The sum of complementary angles is always equal to 90 degrees.

Given that,

There are two angles shown in the image.

From the given image,

Angle a and 32 are complementary angles.

Hence,

a + 32° = 90°

a = 90° -32°

Therefore, the missing angle is,

a = 58 degree

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Answer:

2^27

Step-by-step explanation:

Given the following expression:

[(2^10)^3 x (2^-10)] ÷ 2^-7

This can be easily simplified. Let us simplify the numerator first. To do that, we have

(2^10)^3 making use of the power rule of indices that says:

(A^a)^b = A^ab where a and b are powers, we have:

2^(10x3) = 2^30

Therefore the numerator becomes:

2^30 x 2^-10. Also making use of the multiplication rule that says:

A^a x A^b = A^(a + b), we have

2^30 x 2^-10 = 2^(30 – 10) = 2^20.

Now we have:

(2^20) ÷ (2^-7)

To simplify this, we need the division rule of indices which says:

A^a ÷ A^b = A^(a – b)

Therefore we have:

(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27

Following are the solution to the given expression:

Given:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

To find:

value=?

Solution:

[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]

Using formula:

[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]

Solve the equation:

[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]

Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".

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Answer:

Step-by-step explanation:

a) set up the variables

Let x represent the first number Then  y will represent the second number.

b) What is the equation that represents the above situation?

c) Solve the equation.

Substitute x in the second equation and solve for y:

Then find x

Answer:

[tex]\tt{34~and ~17 }[/tex]

Step-by-step explanation:

let the first number is =x

second number is =y

The sum of two numbers is 51 =x+y=51•••{1}

the greater number is twice the smaller number= x=2y••••••••{2}

According to the question,

[tex]\bold{ x+y=51 }[/tex]

[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]

[tex]\bold{ 3y=51 }[/tex]

[tex]\bold{ y=\dfrac{51}{3} }[/tex]

[tex]\boxed{\blue{y=17 } }[/tex]

NOW put the value y in equation {2}

we get that,

[tex]\bold{ x=2×17 }[/tex]

[tex]\bold{ x=34 }[/tex]

Answer:

x = 4/7 or 0.571428571

Step-by-step explanation:

Answer:

(x - 6)² - 17

Step-by-step explanation:

Given

x² - 12x + 19

Using the method of completing the square

add/ subtract ( half the coefficient of the x- term )² to x² - 12x

= x² + 2(- 6)x + 36 - 36 + 19

= (x - 6)² - 17

Answer: 50% increase

Step-by-step explanation:

your answer is provided in the above image

Answer:

Geometric

Step-by-step explanation:

Answer:

Geometric, 81, 3

Step-by-step explanation:

A geometric sequence is defined as one that continues with multiplication.

We can tell that the sequence proceeds by multiplying 1/3.

a2 is 81 because it is the second term given in the sequence.

a5 is 3 because it equals a4 *1/3, which is 9*1/3 which is 3

I hope this helps! :)

Answer:

one movie ticket is 12$ and 5 is 60$

Step-by-step explanation:

divide 48 by 4 = 12 then to find how much it is per ticket multiply 4*12 = 48

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

Exponential Functions:

         y=ab^x

a=starting value=570

  r=rate=18%=0.18

Exponential Decay:

b = 1 - r = 1 - 0.18 = 0.82

Write Exponential Function:                             put it all together

y=570(0.82)^13

Plug in time for x:

y=570(0.82)^13

y=43.197134                                                       evaluate

ANSWER: y≈43.2                                              round

Answer:

A:Write an expression for Polly's age

Answer:

a)

[tex]4x[/tex]

b)

[tex]4x + x = t[/tex]

c)

[tex]4x + x = t \\ 4(11) + 11 = t \\ 44 + 11 = t \\ 55 = t \\ t = 55[/tex]

d)

[tex]4x + x = 40 \\ 5x = 40 \\ x = \frac{40}{5} \\ x = 8[/tex]

Answer:

2.50

Step-by-step explanation:

You just divide 30 by 12... and that will give you the cost of one battery.

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Answer:

W’(5, 3)

Step-by-step explanation:

edg its d

Answer:

the correct answer is d

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x−6−3x

−2x+4=−6

Step 2: Subtract 4 from both sides.

−2x+4−4=−6−4

−2x=−10

Step 3: Divide both sides by -2.

−2x /−2 = −10 /−2

x = 5

Answer:

0.375

Step-by-step explanation:

Given that there is 50% chance of having a boy in a single birth.

Let it be represented by p, so

p=50%=0.5

According to Bernoulli's theorem, the probability of exactly r success in n trials is

[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]

where p is the probability of success.

So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is

[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]

As p=0.5, so

[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]

=0.375

Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.

Answer:

They are equivalent

Step-by-step explanation:

n would equal the same, and 10 and 5+5 equal the same. Therefore, whatever n is, they will be equal no matter what. Unless you subtract the n from one side and add on the other.

Answer:

Step-by-step explanation:

yesh

Answer:

vftghjm

Step-by-step explanation:

Answer:

135,296 ÷ 16 = 8,456

Step-by-step explanation:

i think this is the answer

Answer:

Step-by-step explanation

2xy² +8y

= 2y (xy+8)

Just see what is the maximum common numbers u can find

Answer:

2y(xy+4)

Step-by-step explanation:

y is in both 2xy^2 and 8y

2 is in 2xy^2 and 8y which is 4×2=8

Answer:

Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)

Step-by-step explanation:

There are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.

In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.

Here,
To find the number of different codes that can be made with 4 numbers between 1 and 20 without repeating any number, we can use the permutation formula, nPr = n! / (n-r)! where n is the total number of items and r is the number of items we want to choose.

In this case, we have n = 20 (the total number of numbers we can choose from) and r = 4 (the number of numbers we need to choose).

So, the number of different codes that can be made is:

20P4 = 20! / (20-4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116,280

Therefore, there are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.

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