Juan baked 5 dozens of cupcakes which cost her a total of PHP 2675.How much should she sell each cupcake if she wants to get a 25% profit?

Answer:

16tan(8θ)sec²(8θ)

Step-by-step explanation:

Given the question :

Find the derivative of the function. y = tan2(8θ)

y = tan²(8θ)

USing chain rule :

dy/dx = (du/dx) × (dv/du) × (dy/dv)

Let u = 8θ ; du/dθ = 8

v = tan u ; dv/du = sec²u

y = v² ; dy/dv = 2v

Hence,

(dy/dθ) × dv/du × dy/dv

8 * sec²u * 2v

Where v = tan u ; u = 8θ

8 * sec²8θ * 2tan8θ

16tan(8θ)sec²(8θ)

Answer:

9x +5

Step-by-step explanation:

combine like terms!

[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]

[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]

[tex]\\ \rm\longmapsto 8(5+2)[/tex]

[tex]\\ \rm\longmapsto 8(7)[/tex]

[tex]\\ \rm\longmapsto 56[/tex]

Answer:

3 and 4

Step-by-step explanation:

Look at the factors of 12 and list them out

1 and 12

2 and 6

3 and 4

Find the 2 numbers that are consecutive

3 and 4

Answer:

2x2+3x-3

Step-by-step explanation:

The first thing you want to do is find all the X2"s and add those together and that looks like this 3x2+(-x2) which would be 2x2. Then you want to find all of the x's and add them together which looks like this -2x+5x which is 3x. Then you find all the whole numbers without a variable and that's 2-5 which equals to be -3.

Answer:

12.5 mini pies or 12 depending on what it asks for

Step-by-step explanation:

Divide 2.50 by 0.2 to get 12.5

The answer can also be 12 because some teachers want students to know that you can't really make half a pie. Whatever your teacher prefers.  

Answer:

yes

Step-by-step explanation:

Answer: A

Step-by-step explanation:

This picture is very blurry, but the line appears to be a solid line. Since it is a solid line, it tells us that the inequality is ≤ or ≥. We can eliminate C and D. Now, the difference between A and B is the shading. Since the shading is showing that the numbers are increasing, we know that the inequality is ≥. Therefore, A is the correct answer.

Answer:

[4,∞)

Step-by-step explanation:

x≥4

[4,∞)

3 x's at 1

4 x's at 1 1/4

3 x's at 1 1/2

1 x at 1 3/4

No x's at 2.

Now, let's combine all the recipes with 1 1/4

5/4 * 4 = 20 / 4 = 5 teaspoons

Answer:

[tex]x1=\frac{49+\sqrt{2429}}{14} \\x2=\frac{49-\sqrt{2429}}{14} \\[/tex]

Step-by-step explanation:

[tex]x^2-7x-\frac{1}{7} =0\\7x^2-49x-1=0\\D=b^2-4ac=(-49)^2-4*7*(-1)=2429\\x1=\frac{49+\sqrt{2429} }{14} \\x2=\frac{49-\sqrt{2429} }{14} \\[/tex]

(s)+(s×0.06)=t

t is the total

s is the shoes

Answer:

I think its right

Step-by-step explanation:

thats what I got too

Answers:

The Weighted Average = 5.35

Explanation:

The weighted average is given by:

W(avg) = v1*w1 + v2*w2 + v3*w3

v1.v2.v3 are the values

w1,w2,w3 are the weights

W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10

W(avg) = 3.75+0.9+0.7

W(avg) = 5.35

Hence, the weighted average is equals to 5.35

33 in corresponds with the 11 in side

33 in / 11 in = 3

The scale factor is 3

24 in / 3 = 8 in

x = 8 in

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides will be in same ratio.

[tex]\frac{33}{11}=\frac{24}{x}[/tex]

Cross multiply,

33*x = 24 * 11

[tex]x=\frac{24 *11}{33}\\\\x=\frac{24*1}{3}\\\\x = 8 in[/tex]

Answer: D

Step-by-step explanation:

To find f(g(x)), you want to take g(x) and plug that into f(x). Since we are given f(x) and g(x), we can go ahead and do that.

f(g(x))=2(x-3)+4                  [distribute]

f(g(x))=2x-6+4                     [combine like terms]

f(g(x))=2x-2

Now, we know that f(g(x))=2x-2.

Answer:

Step-by-step explanation:

Answer and Step-by-step explanation:

Solution:

Range:

Let f(x) = -x-1

                        Here a=0 and b= -1, x=-b/a

Put the values, we get

       X= - (-1)/0 = infinity

Hence the range of the function f(x) = (-∞, ∞)

Injective:

A function is said to be injective if f(x1) = f(x2), gives x1=x2

Let f(x1) = -x1-1

 f(x2) = -x2-1

 f(x1) = f(x2)

Answer:

don't worry bbg I got you give me a moment

Answer:

x = 6, y = 8

Step-by-step explanation:

First, we need to find the scale factor from the smaller polygon to the larger polygon. To do this, we can calculate 18 / 12 which is 1.5. Therefore, we can write the following equations:

x · 1.5 = 9 → x = 6

y · 1.5 = 12 → y = 8

Answer:430.2

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

if he took out the same number of fish each day then it would be 8 a day resulting in a decrese of 8 fish a day.

Answer: y=-4x+7

Step-by-step explanation:

To find a parallel line, we know that the slope must be the same because parallel lines NEVER touch or cross. All we have to do is use the given point to find the y-intercept.

y=-4x+b

7=-4(0)+b            [multiply]

b=7

Now, we know that the final equation is y=-4x+7.

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = - 4x + 2

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point (0,7) and slope - 4 is

[tex]y - 7 = - 4(x - 0) \\ y - 7 = - 4x[/tex]

We have the final answer as

Hope this helps you

Answer:

gfAnswer:Answer:Answer:Answer:Answer:Answer:Answer:

Step-by-step explanation:

fgAnswer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:Answer:

By the product rule,

[tex](fg)'=f'g+fg'[/tex]

so that

[tex](fg)'(7)=f'(7)g(7)+f(7)g'(7)=10\cdot(-1)+4\cdot8=22[/tex]

By the quotient rule,

[tex]\left(\dfrac fg\right)'=\dfrac{f'g-fg'}{g^2}[/tex]

so that

[tex]\left(\dfrac fg\right)'(7)=\dfrac{f'(7)g(7)-f(7)g'(7)}{g(7)^2}=\dfrac{10\cdot(-1)-4\cdot8}{(-1)^2}=-42[/tex]

Answer:

no

Step-by-step explanation:

Answer:

8 6/7 is greater than 8 3/5

Step-by-step explanation:

Step 1:

8 3/5 = 8 21/35

Step 2:

8 6/7 = 8 30/35

Answer:

8 6/7 is greater than 8 3/5

Hope This Helps :)

Answer:C

Step-by-step explanation:

Answer:

9-3=6

Step-by-step explanation:

An addition/subtraction fact family has 2 addition equations and 2 subtraction ones.

The question already states both addition ones, but only one subtraction

The subtraction one stated is 9-6=3

The opposite is 9-3=6

Hope this helps :-)

Answer:

Step-by-step explanation:

A). There are three points given on the plane R.

    Point X, point Y and Point Z.

B). A ray from the point Y → [tex]\overrightarrow{XY}[/tex]

   A ray starting from point X and passing through Y to infinity.

C). Name of a line → [tex]\overleftrightarrow{YZ}[/tex]

    Aline passes through two points with both the ends directing towards infinity.

D). Name of a plane → Plane R or Plane XYZ

    A plane is defined by three points lying on the same surface.