Which expression is equivalent to 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12 times 12? 10 Superscript 12 11 Superscript 12 12 Superscript 10 12 Superscript 11

Answer:

see below

Step-by-step explanation:

mROP= 125°

mSOQ= mROP= 125°

mROQ=mPOS= 180°-125°= 55°

Sum of measures of all arcs in the circle= 2π

mRP= mQS=2π*125/360=25/36π

mQR=mPS=2π*55/360=11/36π

mPRQ= half circle= 2π/2= π

mRPQ= 2π-mQR= 2π- 11/36π= 61/36π

Answer:

Sunday , 22 41 hrs

Step-by-step explanation:

Perth is 4 hours ahead of Mauritius

=> She left on Sunday at 10 55

After 7 hrs 46 mins

=> She reached at 18 41 (According to Mauritius time)

But Perth is 4 hrs ahead of Mauritius

So, We'll add another 4 hrs in it

=> It becomes 22 41 in 24-hours clock and 10:41 pm in 12 hours clock and the day was same i.e. Sunday

Answer:

  see below

Step-by-step explanation:

When the letters are replaced and mixed between draws, the draws are independent. In that case, the probability of a sequence is the product of the probabilities of the individual letters in the sequence.

The individual probabilities are ...

  D  -  1/4

  E  -  2/4

  R  -  1/4

__

So, the probability for a sequence like DD is ...

  p(D)·p(D) = (1/4)(1/4) = 1/16

Of course, to convert to a percentage, multiply by 100%:

  1/16 × 100% = 6.25%

The attachment shows the rest of them.

Answer:

Step-by-step explanation:

Let the angles be 2x , 6x , 9x , 13x

We know that the sum of quadrilateral is 360°

Now,

[tex]2x + 6x + 9x + 13x = 360[/tex]

Calculate the sum

[tex]30x = 360[/tex]

Divide both sides of the equation by 30

[tex] \frac{30x}{30} = \frac{360}{30} [/tex]

Calculate

[tex]x = 12[/tex]

Replacing the value,

2x = 2 * 12 = 24°

6x = 6 * 12 = 72°

9x = 9 * 12 = 108°

13x = 13 * 12 = 156°

So, the angles are 24° , 72° , 108° , 156°

Hope this helps...

Good luck on your assignment...

Answer:

Below in bold.

Step-by-step explanation:

2+6+9+13 = 30.

Now there are 360 degrees in a a quadrilateral.

So the value of the shortest angle = 2/30 * 360

= 1/15 * 360

= 24 degrees.

In the same way the value of the other 3 angles is:

6/30 * 360,  9/30 * 360 and 13/30 * 360

= 72, 108 and 156 degrees.

Answer x = 50 and  y = 61

Step-by-step explanation:

108 + 125 + 98 + 98 +2x +11=540

--> x = 50

2x+ 11 + y + 8 = 180

--> y = 61

The parabolic touch x axis just one time. When it happens, the discriminant of the function is zero. ([tex]\Delta = 0[/tex]).

Therefore, the correct option is letter b).

Answer:

zero

Step-by-step explanation:

a pex

Answer:

Option D

Step-by-step explanation:

A third of a shipment of books is 28 pounds. Assuming that 'f' will be the total weight of the entire shipment, we would divide 'f' by 3 to get 28.

The answer should be D.

Answer:

2 1/24

Step-by-step explanation:

you first need to convert them to the same least common denominator

the common denominator is 24

so 18/24 plus 15/24 plus 16/24

which is 49/24 which is 2 1/24

hope this helps

Answer:

28 cm

Step-by-step explanation:

V=a³

a= ∛V= ∛21952 cm³ = 28 cm

Answer:

Step-by-step explanation:

28 is the answer because you have to find the cube root of the volume. This is because a cube has equal sides so it means that the sides have to be equal. When you find volume, you have to multiply the length, width, and height. So you have to find the cube root of 21952. The cube root is 28.

Hope this helped,

Kavitha

Answer:

Domain { -1,3,5}

Step-by-step explanation:

The domain is the input to the function

Domain { -1,3,5}

Answer:

Yes, ABCD are paralleelogram.

Step-by-step explanation:

Hope this helps you!

Answer:

Solution,

[tex] - 4 {x}^{2} + 3x - 5 - ( - 7x - 9)[/tex]

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

[tex] - 4 {x}^{2} + 3x - 5 + 7x + 9[/tex]

Collect like terms

[tex] - 4 {x}^{2} + 3x + 7x - 5 + 9[/tex]

[tex] - 4 {x}^{2} + 10x - 5 + 9[/tex]

Calculate the sum

[tex] - 4 {x}^{2} + 10x + 4[/tex]

Factor out -2 from the expression

[tex] - 2(2 {x}^{2} - 5x - 2)[/tex]

Hope this helps ...

Good luck on your assignment...

Answer:

x=5/3log(3) -1

x=2.949317

Step-by-step explanation:

reorder terms

3log(3)x(x+1)+5

distribute 3log(3)

3log(3)x+3(log)=5

Move constant to the right

3log(3)x=5-3log(3)

Divide both sides by 3log(3)

x=5/3log(3) -1

Solve 3log(3)

3log(3)= 3.949317

3.949317-1=2.949317

Answer:

3.5 mi = 18480 ft

Step-by-step explanation:

There are 5,280 feet for every one mile. Because there are 3.5 mile, you would multiply 5,280 x 3.5, getting 18480 feet.

Answer:

18480 feet

Step-by-step explanation:

1 mile is equal to 5280 feet. so then 3 1/2 miles is equal to 18480 feet.

Hope this helps!

Answer:

The height of parallelogram is [tex]2x^2-7x+1[/tex]

Step-by-step explanation:

Area of parallelogram =[tex]Base \times Height[/tex]

Area of parallelogram = [tex]2x^3 -x^2 -20x + 3[/tex]

Base of parallelogram = x+3

So, [tex]2x^3-x^2-20x + 3 = height \times (x+3)[/tex]

[tex]\frac{2x^3- x^2 -20x + 3}{x+3}= height\\2x^2-7x+1=Height[/tex]

Hence The height of parallelogram is [tex]2x^2-7x+1[/tex]

Answer:

^^^^^^^

correct

Step-by-step explanation:

Answer:

Area of polygon MNOPQR = 13 units

Step-by-step explanation:

Area of smaller rectangle:

(7-3)= 4 units  multiplied by (3-2) = 1 unit

= 4 sq. units.

Area of polygon MNOPQR

= 3*3 units + 4*1 units

= 9 units + 4 units

= 13 units

Answer:

x = 10

y = 70

Step-by-step explanation:

By using the vertical angles theorem we know that x+ y +10 = 90, also simplified to x + y = 80

and 2x + y = 90

By using the substitution method on x + y = 80, it will be y = -x + 80

When you put into the equation 2x + y = 90 you will get 2x -x +80 = 90

Then it will simplify to x = 10

After that plug 10 into x + y = 80 to 10 + y = 80 and get y = 70

Answer: A) 3/2

Step-by-step explanation:

Any negative exponent can go to the other side of the fraction as a positive exponent.  For example, a negative 3 exponent in the numerator can become a positive 3 exponent in the denominator.  Thus, simply use this rule and combine like terms to get 3/2.

Answer:

Tony read ahout 25 pages per hour

Step-by-step explanation:

75÷3=25

Answer:

25 words per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

i) to nearest million -- 5,000,000

ii) to nearest 100 -- 4,765,200

hope this helps

plz mark it as brainliest!!!!!

Answer:

5 000 000 4 765 200

Step-by-step explanation:

i just rounded the million and hundred and thats how i got my number.

Answer:

CW,CP

MT,MP

LW,LP

it can be more but mainly these are

Answer:

n = 7*m

Step-by-step explanation:

divide n by m and you will get the same value

so : n= 7*m

Answer:

[tex]\boxed{\sf \ \ \ f^{-1}(x)=\dfrac{x+7}{3} \ \ \ }[/tex]

Step-by-step explanation:

hello

f(x)=3x-7

what can we say about [tex]f^{-1}(x) ?[/tex]

[tex](fof^{-1})(x)=x=f(f^{-1}(x))=3f^{-1}(x)-7[/tex]

so

[tex]3f^{-1}(x)-7=x\\<=> 3f^{-1}(x)-7+7=3f^{-1}(x)=x+7 \ \ \ add \ \ 7\\ <=> f^{-1}(x)=\dfrac{x+7}{3} \ \ \ divide \ \ by \ \ 3[/tex]

hope this helps

Answer:

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}}[/tex]

Required

Rewrite in simplest radical form

Using laws of indices:

[tex]a^m/a^n = a^{m-n}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5}{6} - \frac{1}{6}}[/tex]

Solve Exponents

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{5 - 1}{6} }[/tex]

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{4}{6} }[/tex]

Simplify exponent to lowest fraction

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = x^{\frac{2}{3} }[/tex]

Using laws of indices:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

This implies that

[tex]x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}[/tex]

This is as far as the expression can be simplified

Answer:

x> 3       and       x    <5

OR

3 < x <5

Step-by-step explanation:

To solve the compound inequality, we will follow the steps below:

We will first break it into two inequalities.

That is;

5 < 2x - 1<9

5 < 2x - 1     AND         2x - 1<9  

Then we will solve separately

5 < 2x - 1

add 1 to both-side of the equation

5 +1  < 2x - 1 +1

6   < 2x

Divide both-side of the inequality by 2

6 /2  < 2x/2

3 < x

x>3

we will now solve the other inequality

2x - 1<9  

add 1 to  both-side of the equation

2x - 1+1<9 +1

2x <   10

divide both-side of the inequality by 2

2x /2<   10/2

x < 5

Therefore  x> 3       and       x    <5

or

3 < x <5

Answer:

[tex]x = (5 \: . \: 3)[/tex]

Step-by-step explanation:

To solve a compound inequality, seperate it into two inequalities:

[tex]2x - 1 > 5 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ 2x - 1 < 9[/tex]

Solve the inequality for x:

[tex]x > 3 \\ x < 5[/tex]

Find the intersection:

[tex]x = (5 \: . \: 3)[/tex]

Answer: 11.3

Step-by-step explanation:

To find the distance, we will need the distance formula.

[tex]D=\sqrt{(x_{2}-x_{1} ) ^2+(y_{2}-y_{1})^2 }[/tex]

Since we know our x and y, we can plug them into this equation.

[tex]D=\sqrt{(5-(-3))^2+(1-9)^2}[/tex]

[tex]D=\sqrt{(8)^2+(-8)^2}[/tex]

[tex]D=\sqrt{64+64}[/tex]

[tex]D=\sqrt{128}[/tex]

[tex]D=11.3[/tex]

The distance between the points is 11.3.

Step-by-step explanation:

Area 1 = the rectangle

8×3=24cm²

Area 2= semi circle

3.14r² 314/100×4×4 = 50.24cm²

add. 24+50.24 = 74.24cm² ( 10th)

Answer:

q=0

Step-by-step explanation:

-2(q-5)=10

Divide each side by -2

-2/-2(q-5)=10/-2

q-5 = -5

Add 5 to each side

q-5+5 = -5+5

q=0

Answer:

Step-by-step explanation:

1.) Use Distributive Property (multiply -2 by the values in parentheses): -2q+10=10

2.) Subtract 10 from both sides to get 10 to the right side, helping to isolate variable q

-2q+10-10=10-10

3.) Simplify

-2q=0

4.) Divide both sides by -2 to isolate and solve q

-2q/-2=0/-2

5.) Simplify

q=0

Answer:

C. 32,768

Step-by-step explanation:

Step 1

Convert the number of hours to minutes

2.5 hours to minutes = 2 hrs 30 minutes to minutes is calculated as

1 hour = 60 minutes

2 hours 30 minutes =

Cross multiply

(60 minutes × 2 hours) + 30 minutes = 150 minutes.

Step 2

We are told in the question that the bacteria population doubles every 10 minute interval

Find the number of intervals in 150 minutes

= 150 minutes / 10 minutes interval

= 15 intervals

Step 3

The number of bacteria present after 2.5 hours is calculated using the formula of

= Amount of bacterium × 2ⁿ

Where n = number of intervals = 15

Amount of bacterium = single bacterium = 1

Number of bacteria = 1 × 2¹⁵

= 32,768

Therefore, when you start with a single bacterium in a petri dish, the number of bacteria that will there be in 2.5 hours is 32,768