factory has supplies expenses of $1135.78 a day, in addition to the wages above and makes $60,128.72 in one week, what is the factory's total profit or loss in one week?

Answer:

Step-by-step explanation:

Initial height of the ball = 8feet

If it bounces 60% of its previous height, its new height will be;

60% of 8

= 60/100 * 8

= 480/100

= 4.8 ft

If it bounces 60% of its current distance, new height will be expressed as;

60% of 4.8

= 0.6 * 4.8

= 2.88

The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...

In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;

S∞ = a/1-r where;

a is the first term = 8

r is the common ratio

[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]

Substitute into the formula;

S∞ = a/1-r

S∞ = 8/1-0.6

S∞ = 8/0.4

S∞ = 20feet

Hence the total distance traveled by the ball is 20feet

Answer:

The rate of change of the diver's elevation was 10 53/89 ft./min

Step-by-step explanation:

The given parameters are;

The initial elevation of the diver = 0 feet (Ocean surface level)

The depth to which the diver dove = -59 9/10 feet

The rate at which the diver descended = -18.4 feet/minute

The duration the diver spends at the elevation, t₁ = 12 minutes

The depth to which the diver ascended to = -18 9/10 feet

The total time the diver takes so far in the ocean, [tex]t_{(tot)}[/tex] = 19 1/8 minutes

Therefore, we have;

The time it takes the diver to descend to -59 9/10 feet t₂ = -59 9/10/(-18.4) = 3 47/184 minutes

The duration of the divers ascent = [tex]t_{(tot)}[/tex] - t₁ - t₂ = 19 1/8 - 12 - 3 47/184 = 3 20/23 minutes

The rate of change of the divers elevation in ascent = Distance of elevation/Time

The rate of elevation of the divers elevation in ascent = (-18 9/10 - (-59 9/10))/(3 20/23) = 41/(3 20/23) = 943/89 feet/minute = 10 53/89 feet/minute

The rate of change of the diver's elevation = 10 53/89 ft./min ≈ 10.6 ft./min.

Answer:

a) 840 different ways

b) 35 different choices of books

Step-by-step explanation:

We know that our literature class will read a total of 4 novels this year.

All novels chosen by class vote from a list of 7 possible books offered by the teacher.

Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :

[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]

Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :

[tex](7).(6).(5).(4)=840[/tex] (I)

Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.

Continuing with the idea, we deduce the equation (I).

For item b) :

Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.

We define the combinatorial number as :

[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]

Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :

[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]

a) 840 different ways

b) 35 different choices of books

Answer:

72 hours

Step-by-step explanation:

Answer:

Richard gets £240

Step-by-step explanation:

Let

Stephen's share = x

Richards share = 3x

Natasha's share = 2(3x)

Total money = £800

Total money = Stephen's share + Richards share + Natasha's share

800 = x + 3x + 2(3x)

800 = 4x + 6x

800 = 10x

Divide both sides by 10

x = 800 / 10

= 80

x = £80

Stephen's share = x = £80

Richards share = 3x

= 3(80)

= £240

Natasha's share = 2(3x)

= 2(240)

= £480

Richard gets £240

Answer:

9x-9

Step-by-step explanation:

9 and a product of a number is 9x, and less 9 is 9x-9.

Hope this helps :D

Step-by-step explanation:

Given the expression for the position of a body moving along the s-axis expressed as;

[tex]s = t^3-27t^2+200t[/tex]

The acceleration of the body function will be gotten by finding the second derivative of the displacement function as shown;

[tex]\frac{ds}{dt} = 3t^2-2(27)t+200\\ \frac{ds}{dt} = 3t^2-54t+200\\\\\\a = \frac{d^2s}{dt^2} = 2(3)t-54\\a = \frac{d^2s}{dt^2} = 6t-54\\[/tex]

First we need to get the time taken when the velocity is zero.

[tex]Given \ v(t) = \frac{ds}{dt} = 3t^2-53t+200\\at \ v(t) = 0\\0 = 3t^2-54t+200\\[/tex]

factorize;

t = 54±√54²-4(3)(200)/2(3)

t = 54±√2916-2400/2(3)

t = 54±√516/6

t = 54±22.72/6

t = 54+22.72/6 and 54-22.72/6

t = 12.79s and t = 5.21s

Get the acceleration;

at t = 12.79

a = 6t-54

a = 6(12.79)-54

a = 76.74-54

a = 22.74m/s²

at t = 5.21

a = 6t-54

a = 6(5.21)-54

a = 31.26-54

a = -22.74m/s²

Hence the body's acceleration each time the velocity is zero are 22.74m/s² and -22.74m/s²

Answer:

X=51

y=39

Step-by-step explanation:

x=90-39=51

y=90-51=39

Answer:

1

Step-by-step explanation:

Answer:

14 x + 1

Step-by-step explanation:

You aren't dumb, your teacher can't teach!

First we must add the x values together:

8x - 7 + 6x + 8

8 + 6 = 14

14x -7 + 8

Now we add the constants (regular numbers):

14x -7 + 8

-7 + 8

14x +1

There we go!

8x -7 + 6x +8

is

14x +1

Answer:

1,820 trout

Step-by-step explanation:

Set up a proportion where x is the number of trout in the lake:

[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]

Cross multiply and solve for x:

25x = 45,500

x = 1820

So, you could expect 1,820 trout to be in the lake.

Answer:

C

Step-by-step explanation:

The expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4) would be equal to (3/2 . 1/4)14

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

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; can  be used to indicate the logical syntax's order of operations and other features.

Now we have given an expression as;

14(3/2 . 1/4)

Using associative property to make it easier to evaluate;

14(3/2 . 1/4)

= (3/2 . 1/4)14

The correct answer is D.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Answer: 3.5

Step-by-step explanation:

Answer: 2.4 x 10^8

Step-by-step explanation:

Answer: 2.4x10^8

Step-by-step explanation:start from the end and move the decimal point all the time way up to the middle of 2 and 4 and u move 8 times to get there which is how we got the exponent 8

Answer:

You line up the letters

Answer:A

Step-by-step explanation:

Answer: d = 1/4

Step-by-step explanation:

−16(d+1)=−20

Step 1: Simplify both sides of the equation.

−16(d+1)=−20

(−16)(d)+(−16)(1)=−20(Distribute)

−16d+−16=−20

−16d−16=−20

Step 2: Add 16 to both sides.

−16d−16+16=−20+16

−16d=−4

Step 3: Divide both sides by -16.

-16d = -4

-16     -16

d = 1/4

Hope this helps :)

Answer:

d=1/4 or .25

Step-by-step explanation:

-16(d+1)=-20

-16d-16=-20

-16d=-20+16

-16d/-16=-4/-16

d= 1/4 or .25

Answer:

Angle STR = 78°

Step-by-step explanation:

So, since line QS is a straight line, we know that it's 180°. We also know that angles QTR and STR both add up to 180°. That gives us an equation:

20x + 12 + 10x + 33 = 180

Combine like terms

30x + 45 = 180

Subtract 45 from both sides

30x = 135

Divide both sides by 30

x = 4.5

Now we know the value of x. We just need to plug it into angle STR's given value:

10(4.5) + 33 = angle STR

45 + 33 = angle STR

78° = angle STR

Answer: 360 degrees

Step-by-step explanation: There are 4 sides in an angle. Substitute that value in for n and u have: (4-2) x180. After doing that, subtract inside the parenthesis and multiply your difference by 180. You should get 360 degrees. I hoped this helped.

Answer:

360!!!!!!!!!!!!!!!!!!!! ;)

Step-by-step explanation:

Answer:

36

...................................

.

.

.

.

.

.

.

.

.

.

.

..

Answer: The slope is 5

Step-by-step explanation:

The slope of an equation in slope intercept form is always the coefficient of the x variable, or the number that comes before x. And the coefficient of x is 5.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]Division \: \: \: Property[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( A )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).

Let the given number be x.

Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:

= 3(6 + x)

In conclusion, the correct option will be 3(6 + x).

Read related link on:

https://brainly.com/question/11924335

Answer:

linear decreasing

Step-by-step explanation:

cause it is a straight line and it's going down so it's decreasing.

Answer:

linear decreasing

Step-by-step explanation:

the answer that will appear before mine is right

Answer: D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour

Step-by-step explanation:

First find the cost of making a kg of Baking flour.

Assume that x kgs of bleached flour and y kgs of unbleached flour make a kg of Baking flour.

The formulas would be;

x + y = 1

5.75x + 1.45y = 4.05

x = 1 - y

5.75 ( 1 - y) + 1.45y = 4.05

5.75 - 5.75y + 1.45y = 4.05

5.75 - 4.3y = 4.05

4.3y = 5.75 - 4.05

4.3y = 1.7

y = 1.7/4.3

y = 0.395 kg

x = 1 - 0.395

= 0.605kg

To make 1kg of Baking flour, 0.605kg of bleached flour and 0.395kg of unbleached flour is required.

To make 17.2kg of Baking flour;

Bleached flour = 0.605 * 17.2 = 10.4kg

Unbleached flour = 0.395 * 17.2 = 6.8 kg

Answer:

D. 81

Step-by-step explanation:

This answer was confirmed by two people in the comments.

What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.

[tex]162-81=81[/tex] ☑

[tex]162-72=90[/tex] ☒

[tex]162-162=0[/tex] ☒

[tex]162-324=-162[/tex] ☒

So, therefore the answer is [tex]81[/tex].

I hope this helped you. :)

thirdStep-by-step explanation:

Answer:

Following are the solution to this question:

Step-by-step explanation:

It was right because the "Two" is "2," "more is" and "+" are two the most hours than Nandini and "n," so 2+n or n+2 is a true, phrase of Nandini's transcription".

Now, this vector n is unknown, so the number of hours Nandini researched should reflect.

Two further hours which Nandini researched Xander. So, Xander studied the number of hours = n + 2 or 2+ n. Kalley has therefore written a correct word.

Answer:

It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.

Step-by-step explanation:

Say thanks for the anwer

Answer:

A.) Y.

Step-by-step explanation:

I'm not sure how to explain.

Answer:

16 ft^2

Step-by-step explanation:

If it is a perfect square, all you have to do is find the square root of the area, which in this case, is 16.