Find the unit rate.

12 laps in 30minutes

Answer:

9

Step-by-step explanation:

Hi there!

We're given that x=√3, and we want to find the value of [tex]x^4[/tex]

We can substitute √3 as x, and then raise it to the 4th power, but if you don't know what that number is, it might be difficult to figure it out.

An easier way would be to write [tex]x^4[/tex] as x² * x², which in that case, we can multiply √3 by itself, multiply √3 by itself again, and then multiply those 2 numbers together.

If we do it this way, it'll look something like this (remember: x² is equal to x*x, or (x)²:

(√3)² * (√3)²

The order of operations will ask us to first take care of what's in the parentheses, and then to raise the numbers to their powers. Starting with the number on the left of the multiplication sign,

(√3)² = (√3)(√3)=3

And then the number on the right of the multiplication sign:

(√3)² = (√3)(√3)=3

Substitute these numbers in as (√3)² and (√3)²:

3 * 3 = 9

Therefore, x² * x², or [tex]x^4[/tex] is equal to 9

Hope this helps!

Answer:

Step-by-step explanation:

26. -14

27. -4.732050808

Answer:

26.  (-14)

27.  −4.732050808

Step-by-step explanation:

26.  [tex](\sqrt{2}+4)(\sqrt{2}-4)[/tex]

Multiplication can be transformed into difference of squares using the rule:

(a − b) (a + b) = a² - b²

[tex](\sqrt{2} ^{2} ) - 4^{2}[/tex]

The square of √2 is 2.

[tex]2 - 4^{2}[/tex]

Calculate 4 to the power of 2 and get 16.

2 - 16

Subtract 16 from 2 to get −14.

27.  [tex](\sqrt{3} +2)(\sqrt{3} -3)[/tex]

Apply the distributive property by multiplying each term of √3 + 2 by each term of √3 - 3.

[tex]\sqrt{3} ^{2}-3\sqrt{3} +2\sqrt{3} -6[/tex]

The square of √3 is 3.

[tex]3-3\sqrt{3} +2\sqrt{3} -6[/tex]

Combine -3√3 and 2√3 to get -√3.

[tex]3-\sqrt{3} -6[/tex]

Subtract 6 from 3 to get −3.

-3 - √3

You're answer would be 99.0%.

ItxAlex

Hope It Helps

A L E X

Answer:

-274 or just 274? I can't tell if u put "-" to pinpoint the question or if it's a negative number

Answer:

true. the line is passing through 2 lines at the same time

Step-by-step explanation:

you're welcome :)

Answer:

x = 3

Step-by-step explanation:

x² + 15  =  x² + 5x

      15 = 5x

      15 ÷ 5 = x

          3 = x

Answer:

4

Step-by-step explanation:

I just multiplied 6 three times by itself to get 216 and that is how I got 1/216 or 4 as the answer

Answer:

1/6

Step-by-step explanation:

1/216 is the same as 1/6*1/6*1/6. This is 3 times, so the probability is 1/6.

=========================================================

Explanation:

10 minutes = 10/60 = 1/6 of an hour

Divide the distance over the time duration to find his speed

speed = distance/time

speed = (16.5 miles)/( 1/6 hr )

speed = 16.5*(6/1) mph

speed = 99 mph

Then subtract off the speed limit posted by the sign.

99 - 70 = 29 mph

Adnan is 29 mph over the speed limit.

Answer: 29 miles/hour (mph)

Step-by-step explanation:

10 minutes is 0.16667 hour (hr).

16.5 miles/0.16667 hr = 99 mph

99 - 70 = 29 mph

Answer:Having some trouble with this percentage word problem: The average attendance at Parma football club fell by 7% in 2015. If 2030 fewer people went to matches in 2015

Step-by-step explanation:

Answer:

15) 44.6 inches

16) 77.8 degrees

Step-by-step explanation:

15) we are given the angle and length of 16, drawing this out, 16 inches (the height) would be opposite of the angle and the length of the ramp would be hypotenuse.

we know that sine is opposite over hypotenuse, so we can use that to help find the length.

Rearrange:

sin21degrees = opposite/hypotenuse

hypotenuse*sin21degrees = opposite

hypotenuse = opposite/sin21degrees

Sub in values:

hypotenuse = 16/sin21degrees

hypotenuse = 44.6468 inches

16) we are given two side lengths and expected to find an angle, we now need to use the inverse of one of the trigonometric ratios.

Drawing this out, we are given the hypotenuse and adjacent lengths, so we can use the inverse cosine to find the angle

angle = cos^-1 adjacent/hypotenuse

angle = cos^-1 (7/26)

angle = 74.381 degrees

Answer:

Perpendicular

Step-by-step explanation:

perpindicular

Step-by-step explanation:

Perpindicular has multiple sides and has a 90 degree plane

Answer:

[tex]\displaystyle y' = - \csc (x) \big[ \cot^2 (x) + \csc^2 (x) \big][/tex]

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Functions

Calculus

Differentiation

Derivative Rule [Product Rule]:                                                                             [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle y = \csc (x) \cot (x)[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

75 dollars a month

Step-by-step explanation:

To find The amount we need to divide 600 by 8 which gives us 75

Answer:

75

Step-by-step explanation:

600 divided by 75 = 8 so his rent fee will be 75 a month

Answer:

56

Step-by-step explanation:

We can mark the blue cars as x, so now, we have 9:7, and 72:x, we can use cross multiplication to get the value of x, 72*7 = 9x, which we can simplify into 504 = 9x, and can divide both sides by 9 to get 56 = x.

Hope it helped!

Answer:

a) 27 - 8= 19 pages of stamps

b) 16 × 3 = 48 DVDs

c) 35km - 19km = 16km

Answer:

A

Step-by-step explanation:

7x + 3(x - 2) - 4x + 8

7x + 3x - 6 - 4x + 8

Combine like terms:

6x + 2

Hope this helps!

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's Simply ~

Therefore, the correct choice is ~ A

Answer:

Based on the given conditions, formulate:  

Reduce the fraction:

get the result:

Answer:

Step-by-step explanation:

The Amrit's income is £27434.16.

It is required to find the

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let the Bethan's income be x

Amrit's income is 32% more than Bethan's income.

So, Amrit's income=x+32%

Amrit and Bethan's combined income is £54868.

According to given question we have

x+x+32%=£54868

2x+32/100=£54868

2x=54868-0.32

2x=54867.68

x=27433.84

Bethan's income=£ 27433.84

Amrit's income

=x+32%

=£ 27433.84+0.32

=£27434.16

Therefore, the Amrit's income is £27434.16.

Learn more details about arithmetic here:

https://brainly.com/question/11559160

#SPJ2

20+3(3y-4x)

if x=4 y=6

20+3((3×6)-(4×4))=20+3(18-16)=20+3×2=20+6=26

answer: 26.

To find the greatest common factor, line both numbers up and continue adding that specific number until you find two factors that correlate with both numbers.

With that being said, let's begin.

8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88

Simply add 8.

11: 11, 22, 33, 44, 55, 66, 77, 88

Simply add 11.

The greatest common factor of 8 and 11 is 88.

Answer:

The correct answer is AAAA

Answer:

A.

[tex] \frac{8}{15} and \: 0.53[/tex]

Answer:

Step-by-step explanation:

1. A chord is a line segment whose end points lie on a circle. The line containing that segment is called a "secant."

__

2. The angle where chords cross is the average of the intercepted arcs:

  (50° +40°)/2 = 45° . . . . measure of angle CSA

__

3. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (150° -80°)/2 = 35° . . . . measure of angle HEO

__

4. The angle where secants or tangents meet is half the difference of the intercepted arcs.

  (220° -140°)/2 = 40° . . . . measure of angle MAT

Please note that this is the supplement of arc MT between the tangents.

Answer:

The DNA is a double-stranded molecule that has a long chain of nucleotides. The RNA is a single-stranded molecule which has a shorter chain of nucleotides. Propagation. DNA replicates on its own, it is self-replicating. RNA does not replicate on its own.

Neuron Function: Food Preservation

Fertilizer Meaning: Exocrine Glands

Food Chain Examples: Cell Biology

Step-by-step explanation:

yo kya haal hai

Answer:

y=3x - 8

Step-by-step explanation:

first find slope

10 - 7/6 - 5 = 3

Point - slope

y = 3(x-6)+10

Simplify

y = 3x-18+10

y=3x - 8

9514 1404 393

Answer:

  b.  6.28 units

Step-by-step explanation:

The travel through 360° takes you around the full circumference of the circle. That circumference is ...

  C = 2πr

Since this is a unit circle, the radius is 1, so the circumference is ...

  C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)

Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.

Answer:

infinite number of solutions

Step-by-step explanation:

8x + 4 = 8x + 4

Since the expressions on both sides are the same then any value of x will make the equation true.

That is the equation has an infinite number of solutions

Step-by-step explanation:

5x

Добро пожаловать

Answer: 126

Step-by-step explanation:

11+5=16

Step-by-step explanation:

square root of 121 is 11 and cube root of 125 is 5 i.e

11^2=121 and 5^3=125

Answer:

-2.7, -10, -14.6

Step-by-step explanation:

Answer:

Simple. since we know the weight per given length, we simply need to know the total length of all steel used. the perimeter is easy as it is given, 2×12 and 2×5 for a total perimeter of 24+10 or 34m. now the diagonals must be calculated...

since this is a right triangle, one could easily use a trig function to calculate, but to keep it simple pathag. theorum a2+b2=c2, where the 2 means squared. rearrange to c=sqrt(a2+b2), or 12 squared + 5 squared...giving 144+25=169. then take square rt of 169. this is length of one diagonal, remember to multiply by 2 since there are two diagonal pieces. add this to total perimeter of 34m above.

now that total length is known, simply multiply by weight/m for total weight

**remember units, as problems become complex keeping up with units can help u know if you are using right solving methods, like in heat transfer, energy equations, etc.