what is 7/8 as a decimal rounded to the nearest thousandth

Step-by-step explanation:

We will use the LHS to find the RHS.

Step 1: Expand the LHS by multiplying through the brackets and simplify

(sinx + cosx)(1 − sinx cosx) ≡  sinx + cosx - (sinx + cosx (sinx cosx))

                                             ≡  sinx + cosx - sin²x cosx - sinx cos²x

Step 2: Use the identity sin²x + cos²x = 1, to rewrite the equation

                                           ≡ sinx + cosx - cosx (1 - cos²x) - sinx (1 - sin²x)

Step 3: Simplify the equation by adding like terms

                                           ≡ sinx + cosx - cosx + cos³x - sinx + sin³x

                                           ≡ sin³x + cos³x                 [QED]

Reminder:

Answer:

= -3x +3

Step-by-step explanation:

like terms (7x) -(4x)

or 7x + -4x = -3x

no like terms to condense 3

Answer:

750 meters

Step-by-step explanation:

120 meters/4 seconds = 30 meters per second

30 meters per second * 25 seconds = 750 meters

(you could calculate 3 * 25 first to get 75 and then add the zero at the end. It's the faster way.)

Answer:

x = 750 m

Step-by-step explanation:

Write and solve a equation of ratios:  

  120 m          4 sec

-------------  =  -------------

       x              25 sec

Inverting this equation yields

      x             25 sec

-------------- = -------------

  120 m          4 sec

Cross-multiplication yields (4 sec)x = (120 m)(25 sec).  This yields:

      3000 m-sec

x = --------------------  = 750 meters

           4 sec

Note that the same result can be obtained by multiplying (120 m) by (25/4).

Answer:

$180

Step-by-step explanation:

150 ÷ 25 = 6

6×3 = 18

18×10 = 180

The total value of the coupons that were given out is $180.

Correct option is (D).

The study and use of numbers, their relationships, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and computation are sometimes included under the umbrella word "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).

As per the given data:

3 out of every 25 customers receive a $10 coupon to use on their next visit.

Customers at the restaurant today = 150

For 25 customers = 3 coupons

For (25 × 6 = 150) customers = (3 × 6 = 18) coupons

Total value of the coupons = 18 × 10 = $180

Hence, the total value of the coupons that were given out is $180.

To learn more about arithmetic, click:

brainly.com/question/23848329

#SPJ2

Answer:

6 2/3

Step-by-step explanation:

10* 2/3

20/3

which is 6 2/3

Answer:

x=5

Step-by-step explanation:

i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel

the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,

Answer:

116

Step-by-step explanation:

Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:

[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]

Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]

Answer:

Angle fgh=116

Step-by-step explanation:

Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:

(2x+20)=(5x-37)

Now we set the equations equal to each other to solve for x

-3x=-57

Divide the -3 by both sides

x=19

Now we have to plug the x into the equations

2(19)+20 and 5(19)-37

Our answer is 58 for both equations

Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.

SO our final answer is 116

(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)

Answer: $180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

300-40% = 180 hshsjsbhshebs

Answer:

10 times

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE AN AWESOME DAY.

Answer:

10 times

Step-by-step explanation:

The 4 in 149 is 10 times bigger than the 4 in 74 because the place value of 4 in the number 149 is 40 and the place of 4 in the number 74 is 4, so if we divide 40/4 we will get 10. Thus, choice 2nd is correct

Answer:

As finding 10% of a number means to divide by 10, it is common to think that to find 20% of a number you should divide by 20 etc. Remember, to find 10% of a number means dividing by 10 because 10 goes into 100 ten times. Therefore, to find 20% of a number, divide by 5 because 20 goes into 100 five times.

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

7a -7b

Let a-b = 5

Factor

7(a-b)

7(5)

35

Answer:

a=5+7b/7

Step-by-step explanation:

7a-7b

a-b=5

7a-7b=5

7a-7b+7b=5+7b

7a-0=5+7b

7a=5+7b

7a=5+7b/7

a=5+7b/7

Answer

The ratio of bananas to apples is 3 to 4

Step-by-step explanation:

Answer:

(x+1) (7x - 4)

Step-by-step explanation:

7x² + 3x - 4

Use the diamond...

7 times -4 equals -28 and 7 plus -4 = 3

Use factor by grouping b/c a does not equal 1

7x² + 7x - 4x - 4

7x(x + 1) -4(x + 1)

(x+1) (7x - 4)

Answer:

it is 12 but you probably didnt show our work

Step-by-step explanation:

Here is an example you can use:I multiplied 15 by .80 because I know that 4/5 is 80 of 100.

Answer:

0.12

Step-by-step explanation:

This is probably where you got confused

4/5% = 0.8%

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

15 / 10 = 1.5

1.5 / 10 = 0.15

0.15 / 10 = 0.015

or

15 / 1000 = 0.015

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

0.015 x 5 = 0.075

0.015 x 3 = 0.045

0.075 + 0.045 = 0.12

More Detailed Version

4/5 of 1% = 0.8%

0.8% is in the thousandths digit

15 / 1000 = 0.015

0.015 x 5 = 0.075

0.015 x 3 = 0.045

0.075 + 0.045 = 0.12

Brainly?

Answer:

They are the same because they have the same slope, 2. and they are different because they different y-intercepts, 0 and 8.

Step-by-step explanation:

Your equations y=mx+b

m is your slope, both 2 and

b is your y-intercept, 0 for your first one because it doesn't have any, and 8 for your second one.

Step-by-step explanation:

3x-28=2x-9

3x-2x=28-9

x=19°

For angle FGH = 2x-9° = 38°-9° = 29°.

For angle HGI = 3x-28° = 57°-28° = 29°.

For angle FGI = 29°+29° = 58°.

hope this helps you.

Answer:

$162.75

Step-by-step explanation:

150 * 1.085 = 162.75

The test result can be made more responsive by adjusting the parameters

of the test.

Reasons:

The type of experiment being performed by Feliciano is children

handwriting improvement based on two techniques and a control condition.

The number of groups that receive the treatment = Two

The assessment method used = 3-point assessment scale

The true statements are;

Increasing the number of levels on the scale, increases the variability of the response such that more responses can be obtained from the participants than when using a 3-point scale, based on the closeness between the the variables being assed.

A manipulation check can be used to determine the effectiveness of the treatment applied , such as the inclusion of question that finds out about the participants association to the treatment.

Increasing the sample size increases the z-value, and makes it more likely to reject the null hypothesis, that there is no difference between the two groups.

Learn more here:

https://brainly.com/question/22527653

Answer:

$333.60

Compute 2²⁰¹⁷ modulo 100.

From the given table,

2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)

and we have

2017 = 32 • 62 + 33

62 = 1 • 42 + 20

Then

2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2¹⁷ (mod 100)

and from the table, we get

2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)

Answer:

i. Rs6,000

ii. Rs6,900

Step-by-step explanation:

i. FV = PV(1 + r)^d

FV = 40,000(1 + 0.15)^1

FV = 40,000(1.15)

FV = 46, 000

46, 000 - 40,000

Interest = Rs6, 000

ii. FV = PV(1 + r)^d

FV = 46,000(1 + 0.15)^1

FV = 46, 000(1.15)

FV = 52, 900

52, 900 - 46, 000

Interest = Rs6, 900

[tex]\huge\mathcal{♨Answer♥}[/tex]

Answer is on the attachment...

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

yeah

Step-by-step explanation:

Hello there!

The slope of this line is 0.

y=-4 is a horizontal line.

We find the slope using the formula Rise/Run.

The rise is 0, and no matter what the run is, the slope is 0 anyway.

Hope this helps!

~Just a cheerful teen

#CarryOnLearning

[tex]SilentNature[/tex]

Answer:

the answer is 8

Step-by-step explanation:

because the (8)²is 8×8is 64

Based on the inflation rate and the amount he had at the beginning of the year, Jim will pay an inflation tax of $1,000

Inflation tax refers to the value lost out of the cash holdings that a person has as a result of inflation.

With inflation being 2%, Jim would lose 2% of his cash holdings which translates to:

= Cash holdings x Inflation rate

= 50,000 x 2%

= $1,000

In conclusion, Jim will pay an inflation tax of $1,000.

Find out more at https://brainly.com/question/13724038.

Answer:

  9. 1.75 m/s²; 8 s

  10. (12 6/7) °/s; (10 5/7) kt/s

Step-by-step explanation:

Acceleration is the change in velocity divided by the change in time.

__

  (22 m/s -15 m/s)/(4 s) = 7/4 m/s² = 1.75 m/s²

The eagle's average acceleration is 1.75 m/s².

__

The relation can also be used to find the time for a given change:

  a = Δv/Δt   ⇒   Δt = Δv/a

  Δt = (22 m/s -8 m/s)/(1.75 m/s²) = 8 s

It would take the eagle 8 seconds to go from 8 m/s to 22 m/s.

__

From north to south is a direction change of 180°. Then the rate of change is ...

  a = 180°/(14 s) = 12 6/7 °/s

__

From 75 knots north to 75 knots south (-75 knots, using north as a reference) the magnitude of the average acceleration is ...

  |-75 kt -75 kt|/(14 s) = 150/14 kt/s = 10 5/7 kt/s

here is your perfect answer

gamsahamnida