which is the simplified form of the expression


please help!!

Answer:

70.5°

Step-by-step explanation:

cos x = (20²+18²-22²)/2(20)(18)

= (400+324-484)/720

= 240/720

= 1/3

so, X = arc cos ⅓ = 70.5°

Answer:

38

Step-by-step explanation:

5x+3 = 23

5x = 23-3

x = 20/5

x = 4

12x-10 = ?

12 (4) -10

48 -10

38

The value of the expression 12x - 10 will be 38.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 5x + 3 = 23. To calculate the value of 12x -10 first calculate the value of x.

5x+3 = 23

5x = 23-3

x = 20/5

x = 4

Calculate the value of 12x - 10.

12x-10 = ?

12x-10 = 12 (4) -10

12x-10 = 48 -10

12x-10 = 38

Therefore, the value of the expression 12x - 10 will be 38.

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Answer:

12

Step-by-step explanation:

you would divide -2 on both sides to isolate the variable a leaving you with 12

Answer:

12

Step-by-step explanation:

-2a= -24

or, a= -24/-2

:. a= 12

Answer:

It's y< -3/2x -2

Step-by-step explanation:

put each answer choice into desmos and match the graphs.

Answer:

k + 8 = y

9x - 17

4(x²-8)

Step-by-step explanation:

6x - 3x^2 + 2x^2 -2x = 5x^2 + 15x

4x -x^2 = 5x^2 + 15x

-11x - 6x^2 = 0

-6x^2 - 11x = 0

use the quadratic formula

(-b±√(b²-4ac))/(2a)

Answer:

3 1/2

Step-by-step explanation:

Answer:

a) C = 1.40 + .4M

b) $4.60

c) 46.5 <= M (miles)

Step-by-step explanation:

a) Cost = initial fee + 0.40 * miles OR

   C = 1.40 + .4M

b) C = 1.40 + .4M

    C = 1.40 + .4 * 8

    C = 1.40 + 3.20 = 4.60

c)  C <= 20 so

    20 <= 1.40 + .4M

    20 - 1.40 <= .4M

   18.60/.4 <= M

    46.5 <= M

Answer:

Jacob has the best percentage score of 82%

Step-by-step explanation:

Tom wins at chess 180 times in every 250

Daisy wins 3/4 of 180 times

Jacob wins 328 times in every 400

Tom's percentage score = [tex]\frac{180}{250} * 100[/tex] = 72%

Daisy wins [tex]\frac{3}{4} * 180 = 135[/tex] times

Daisy's percentage score = [tex]\frac{135}{250} * 100[/tex] = 54 %

Jacob's percentage score = [tex]\frac{328}{400} * 100[/tex] = 82%

∴ Jacob has the best percentage score.

Hey there! I'm happy to help!

Discrete data are data that are usually counted and are represented by points that are not connected by a line.

Continuous data are data that are represented by a straight line.

Our graph has a continuous function because it is made of continuous.

In a function, the domain is all of the x-values and the range is all of the y-values.

With discrete data, the domain and range are usually more finite, and with continuous data, it is usually infinite.

What x-values on this graph include any possible number. If we follow the arrow on the bottom left side of our line, it will go down forever and go in the direction of infinitely many negative x-values. The same goes for the other direction with the other side of our arrow.

So, our domain is going to be -∞ ≤ x ≤ ∞.

If we look at our range, we have the same thing happening. We will have infinite negative y-values and infinitely positive as our arrow goes infinitely in both directions.

So, our range is going to be -∞ ≤ y ≤ ∞.

Have a wonderful day and keep on learning! :D

Answer: D

Step-by-step explanation:

100!=2*3*4*...*100

Counting which numbers are divisible by 2:

2,4,6,8,10,12,14,...,96,98,100 : 50 numbers (100/2=50)

Counting which numbers are divisible by 4=2²:

4,8,12,16,20,...96,100: 25 numbers (100/4=25)

Counting which numbers are divisible by 8=2³:

8,16,24,32,40,...,96: 12 numbers (100/8=12.5 ==> 12)

Counting which numbers are divisible by 16=2⁴:

16,32,48,...,96: 6 numbers (100/16=6.25 ==> 6)

Counting which numbers are divisible by 32=2⁵:

32,64,96 : 3 numbers(100/32=3.125 ==>3)

Counting which numbers are divisible by 64=2⁶:

64 : 1 number (100/64=1.5625 ==>1)

Sum of those numbers= 50+25+12+6+3+1=97

100! is divisible by 2⁹⁷.

Answer D

Answer:

identity

commutative

associative

distributive

Step-by-step explanation:

Answer:

0.0625

Step-by-step explanation:

Answer:

C. y>x

y>4

Step-by-step explanation:

the line passes y intercept (0,4) is y = 4

the line passes (0,0) and (5,5) is y = x

so, the system of inequalites of the shaded area is : y>x and y>4 (option C)

Answer:

32

Step-by-step explanation:

3x+1=8x-24

25=5x

x=5

3 times 5 plus 1 is 16 and so the length is 32

comment section:

XM=MY because MN is segment bisector

XM=3x+1=3*5+1=16=MY and since XM+MY=XY 16+16=32

Answer:

3x + 5 + 6x -6 = 80

9x -1 = 80

9x = 81

x = 9

3(9) +5 = 32

< DBC = 32

6(9)-6 = 48

<ABC = 48

Answer: i wold charg 5 dollers

Step-by-step explanation:

sorry if im rong i dont know

if i under stood the question

Answer:

30600

Step-by-step explanation:

product is the answer to a multiplication problem

180 x 170= 30600

Answer:

context

Step-by-step explanation:

ill help in comments if you can explain this makes no sense

Hey there! I'm happy to help!

The equation y=0.5x simply means that Joseph is hiking 0.5 miles every hour. This is because the x value is the independent variable or the thing you change, which in this case is the time you take hiking. The distance, the y-value, is dependent on that time.

Now, let's look at Kelly's graph. This graph isn't a grid, so we will have to eyeball some of the numbers on the graph. It appears that after 10 hours, Kelly has traveled eight miles. This is because if you go up from the 10 and meet the line and then go to the left. you will be about at the line right below the 10 on the y-axis, and if you count the lines, you will see that we are counting by 2, so it has to be eight.

So, we see that Kelly takes 10 hours to go eight miles. We know that Joseph's distance is half of his time (4 hours would be 2 miles, 6 hours would be 3 hours, etc.)

So, if we say that Joseph hikes for ten hours, he will have hiked five miles as that is half of ten. We see, though, that Kelly made it eight hours in that time, so Kelly is going faster here.

Have a wonderful day and keep on learning! :D

Answer:

Option D

Step-by-step explanation:

Hope it will help you.

Answer:

It is 4x²y(x - 4)(x + 2)

Step-by-step explanation:

[tex] {4x}^{4} y - {8x}^{3} y - {32x}^{2} y[/tex]

factorise out 4x²y :

[tex] = 4 {x}^{2} y( {x}^{2} - 2x - 8)[/tex]

find the factors of x² - 2x - 8:

[tex] = 4 {x}^{2} y \{(x - 4)(x + 2) \}[/tex]

Answer:

She fell asleep for 6% of the trip.

Step-by-step explanation:

You take 48 and divide it by 800. That gives you 0.06.

0.06 equals 6%.

Answer:

6%

Step-by-step explanation:

Divide 48 and 800 together.

48/800 = 0.06

48 is the miles she's sleeping and 800 is the total miles.

So, she was asleep only 6% of the trip.

Hope this helped.

Answer:

Terms for 4a^2-5a-3: 4a^2, -5a, -3

Terms for Equation 2 is correct.

Constants for 4a^2-5a-3: -3

Constants for Equation 2 is correct.

Coefficients for 4a^2-5a-3: 4, -5

Coefficients for Equation 2: 7, -3

Step-by-step explanation:

Answer:

10d = 70  where d is the number of dogs walked

Step-by-step explanation:

10d = 70  where d is the number of dogs walked

Divide each side by 10

10d/10 =70/10

d= 7

Answer: 10x = 70

Step-by-step explanations

Answer:

x=8

Step-by-step explanation:

This is a simple one-step algebraic equation. In algebra, to find x you must isolate the variable. To do this, use the property of equality. This property states that an equation is still true if you do the same thing to both sides. For example, the equation would still be true if you added 1 to both sides.

To isolate x divide both sides by 6. This equals 48/6 = 6x/6. Which simplifies to 8=x.

Answer:

(2, - 6 )

Step-by-step explanation:

Use the mid point formula and equate to each coordinate of the midpoint

with endpoints (x₁, y₁ ) and (x₂, y₂ ) then

midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

let S = (x, y) , then

[tex]\frac{x+0}{2}[/tex] = 1 ( multiply both sides by 2 )

x = 2

and

[tex]\frac{y+2}{2}[/tex] = - 2 ( multiply both sides by 2 )

y + 2 = - 4 ( subtract 2 from both sides )

y = - 6

Then S (2, - 6 )