Simplify the expression.
(m^-1 m^5/m^-2)^-3

a)- 3m^4/m^2
b)-m^216
c)m^18
d)1/m^18

Answer: B

Step-by-step explanation:

Scale factor is 5

So

Answer:

Points of kite JKLM:

J = (1, -2)

K = (2, -1)

L = (1, 2)

M = (0, -1)

To dilate a figure about a point, draw a line from the point to each point of the figure, then extend (or reduce) the line so that it is the length of the original line multiplied by the scale factor.

So to dialate JKLM about the origin by scale factor of 5, draw a line from (0, 0) to each point of the kite.  Extend the lines so that they are each 5 times the original lengths.  These are the dilated points

Points of kite dilated by sf 5 (shown in blue on the attached diagram):

J' = (5, -10)

K' = (10, -5)

L' = (5, 10)

M' = (0, -5)

Answer:

48 + 8x = 9

Step-by-step explanation:

4 + [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{4}[/tex]

multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

48 + 8x = 9

The arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

The break even point is the point at which the cost of production of an item to produce is equal to the revenue generated after selling it.

Arderi Air Conditioning sells one primary model of air conditioner. Each unit of this model costs them $61.25 to produce, but it sells for $142.50 apiece. Thus,

Arderi Air Conditioning employs three salespeople, each of whom earns a different commission per unit sold, as shown in the following table.

It is known that one salesperson sold 51 units, one salesperson sold 43 units, and one salesperson sold 54 units. Thus, the total AC sold is,

[tex]n=51+43+54\\n=148[/tex]

Now, the selling price is $142.50. Thus, the revenue after selling 148 units is,

[tex]R=148\times142.50\\R=21090[/tex]

The cost price is  $61.25. Thus, the cost of production of 148 units is,

[tex]R=148\times61.25\\R=9065[/tex]

Last month, Arderi Air Conditioning had a total fixed overhead cost of $7,622.25. Suppose, Mary sells 43 units; Jay sells  units; Abby sells 54 units. Thus, the total cost,

[tex]C_t=7622.25++9065+43\times36.25 +51\times28.50 +54\times25.75\\ C_t=21090[/tex]

The total cost is equal to the total revenue. This point is break even point.

Thus, the arrangement of sales which would cause Arderi Air Conditioning to break even is Mary sells 54 units; Jay sells 51 units; Abby sells 43 units.

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Answer:

c.

Mary sells 43 units; Jay sells 51 units; Abby sells 54 units

Presumably you mean the second derivative of y with respect to x, d²y/dx².

Compute the first derivative. By the chain rule,

[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{dy}{dt}}{\frac{dx}{dt}}[/tex]

Differentiate the two parametric equations with respect to t :

[tex]x = \sin(t) \implies \dfrac{dx}{dt} = \cos(t)[/tex]

[tex]y = \cos(t) \implies \dfrac{dy}{dt} = -\sin(t)[/tex]

Then the first derivative is

[tex]\dfrac{dy}{dx} = \dfrac{-\sin(t)}{\cos(t)} = -\tan(t)[/tex]

Now, dy/dx is a function of t, so we can denote it by, say, dy/dx = f(t). Then by the chain rule, the second derivative will be

[tex]\dfrac{d^2y}{dx^2} = \dfrac{df}{dx} = \dfrac{df}{dt} \times \dfrac{dt}{dx} = \dfrac{\frac{df}{dt}}{\frac{dx}{dt}}[/tex]

Differentiating f(t) :

[tex]f(t) = -\tan(t) \implies \dfrac{df}{dt} = -\sec^2(t)[/tex]

Then the second derivative is

[tex]\dfrac{d^2y}{dx^2} = \dfrac{-\sec^2(t)}{\cos(t)} = \boxed{-\sec^3(t)}[/tex]

and since y = cos(t), we can go on to say

[tex]\dfrac{d^2y}{dx^2} = -\dfrac1{y^3}[/tex]

Answer:

y = (4/3)x

Step-by-step explanation:

Two points on the line are the origen (0, 0) and the given (9, 12).

Starting at the origin and moving to (9,  12), we see the change in x being 9 and that in y being 12.  Thus, the slope of the line through these two points is m = rise/run = 12/9 = 4/3.

Thus the equation of the line in slope-intercept form is y = (4/3)x + 0, or

just y = (4/3)x

Answer:

y = -1.4x + 16

Step-by-step explanation:

the slope is -1.4x

Use the slope formula:-

[tex]\displaystyle\frac{y2-y1}{x2-x1}[/tex]

Plug in the values:-

[tex]\displaystyle\frac{9-2}{5-10}[/tex]

Simplify:-

[tex]\displaystyle\frac{7}{-5}= -\frac{7}{5}[/tex]

 [tex].~~~~~~~\uparrow\sf{Slope}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the amount of space inside a shape composed of basic shapes put together.

Step-by-step explanation:

hope this helps.

Answer:

810 m

Step-by-step explanation:

Split the polygon into two parts

(Small and Big rectangle)

SR : 18(18+3) = 378

BR : 18(3+3+18) = 432

378+432 = 810

Hope this helps :)

we're given that x is greater than 4 (the symbol ">" indicates "greater than)

5 is greater than 4. Let's plug it in :

|5-4|

|1|

1 (remember, absolute value is always positive).

Now let's try 6 :

|6-4|

|2|

2

hope helpful ~

Answer:

15÷86400=???×86400

Step-by-step explanation:

O 15 sendo dividido pelo 86400 dará o resultado e multiplicando o resultado com 86400

Answer: 6 outfits

Step-by-step explanation:

$620 should be greater than the price of the new bicycle + 3 * bicycle reflectors + a pair of bike gloves + unknown number of biking outfits

Therefore, the inequality will be:

620 ≥ 261.04 + 3 × 13.07 + 13.57 + 51.03x

620  ≥ 313.82 + 51.03x

[tex]\text{Solving \ for \ x}[/tex]

[tex]620\ge \:313.82+51.03x[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]313.82+51.03x\le \:620[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}100[/tex]

[tex]313.82\cdot \:100+51.03x\cdot \:100\le \:620\cdot \:100[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]31382+5103x\le \:62000[/tex]

[tex]\mathrm{Subtract\:}31382\mathrm{\:from\:both\:sides}[/tex]

[tex]31382+5103x-31382\le \:62000-31382[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5103x\le \:30618[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5103[/tex]

[tex]\frac{5103x}{5103}\le \frac{30618}{5103}[/tex]

[tex]\text{Simplify}[/tex]

[tex]{x\le \:6}[/tex]

Therefore, Brianna can buy 6 or fewer outfits while staying within her budget

Answer:

456*567=4890998

46766-6755=566888

Answer:

FGM and reproductive health

Answer:

  19 -d

Step-by-step explanation:

The number Johnson has left is found by subtracting the number he gave away from the number he started with.

  19 -d . . . . . . . number of ice cream bowls left

Answer:

- sin (x)

Step-by-step explanation:

Answer:1)x =-30

2)x=-30

Step-by-step explanation: 1:  2(3x+5)=5(x-4) ( remove the parenthesis)

then 6x+-5x=-20x-10 (collect the like trems calulate) so (-20 and -20 on each side) the x=-20-10.

 2: 6x+10=5x-20 (move the like trems) so move the variable to the left hand side and change its sign like this 6x+10-5x=-20

6x-5x=-20-10

x=-20-10 which it ='s  x=-30

follow my TT at yvngxmiia

Solving Stepwise:

Additional Explanation

Distributive property:

symmetric property of equality:

subtraction property of equality:

closure property:

division property of equality:

Step-by-step explanation:

sin(0) is opposite over hypotenuse which in this case is 12/15

tan (0) is opposite over adjacent 12/9

you can simplify if you like to 4/5 and 4/3 if you want to.

sinØ

tanØ

Answer: TThere is no picture

Step-by-step explanation:

Answer:

4 < x < 12

Step-by-step explanation:

Given:

[tex]\displaystyle \large{9|x-8| < 36}[/tex]

Divide both sides by 9:

[tex]\displaystyle \large{|x-8| < 4}[/tex]

Theorem:

For [tex]\displaystyle \large{|x-a| < b}[/tex], since absolute is less than a constant, the interval or solution is:

[tex]\displaystyle \large{-b < x-a < b}\\\displaystyle \large{-b+a < x < b+a}[/tex]

Therefore:

[tex]\displaystyle \large{|x-8| < 4 \to -4 < x-8 < 4}\\\displaystyle \large{-4+8 < x < 4+8}\\\displaystyle \large{4 < x < 12}[/tex]

Therefore, the solution is 4 < x < 12

Answer:

4 < x < 12

Step-by-step explanation:

9|x - 8| < 36

Divide both sides by 9:

|x - 8| < 4

Solution 1

(x - 8) < 4

Add 8 to both sides:

x < 12

Solution 2

-(x - 8) < 4

-x + 8 < 4

Subtract 8 from both sides:

-x < -4

Divide both sides by -1 (remembering to change the direction of the sign):

x > 4

Therefore, the solution to the inequality is   4 < x < 12

Answer:

  86.7%

Step-by-step explanation:

For questions regarding values related to a normal distribution, a suitable calculator is required. Numerous calculators, apps, web sites, and spreadsheets are capable of answering this question.

__

One standard deviation above the mean is 327 +27 = 354, so the value is expected to be slightly more than 50% +34% = 84%. It is no surprise, then, that a calculator tells you 86.7% of the data is below 857.

_____

Additional comment

The "empirical rule" tells you 68% of the area is within 1 standard deviation of the mean. The distribution is symmetrical, so half that, 34%, is between the mean and 1 standard deviation above the mean. Of course, 50% of the data is below the mean.

The surface area of the given figure is 90 feet².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

The given figure is a rectangular prism.

A rectangular prism consists of 4 rectangular lateral faces and 2 rectangular bases.

Surface area of the rectangular prism is the area of each of the faces.

Combining all these area, area of a rectangular prism can be found by the formula,

Area = 2 (lw + wh + lh)

where l is the length, w is the width and h is the height.

Given, l = 3 feet, w = 3 feet and h = 6 feet

Area = 2 [ (3 × 3) + (3 × 6) + (3 × 6)]

        = 2 (9 + 18 + 18)

        = 90 feet²

Hence the surface area is  90 feet².

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Answer: C

Step-by-step explanation:

635 - 356 = 279

279 + 506 = 785

         $785

Answer:

Hope the picture will help you. Make sure to mark my answer brilliant

Answer: 7

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

B is the best answer because it's a lot of students and unbiased

Answer:

1 2/3 = 1.66666

3/5 = 0.6

Step-by-step explanation:

Answer:

49ft²

Step-by-step explanation:

A=bh

A=bh=9.8·5=49