What is the simplified form of the following expression?
[tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex]
​

Answer:

397.7 m²

Step-by-step Explanation:

The are of ∆UVW can be found ones we know the measure of 1 angle that is in between known lengths of two sides. Then, we would apply the formula, ½*a*b*sin(θ)

Where, a and b, are the lengths having an included angle (θ), in between them.

To find area of ∆UVW, we need m < V, side lengths of UV and VW.

m < V = 113°

VW = 29 m

UV = ?

Step 1: find UV using the Law of sines

[tex] \frac{UV}{sin(W)} = \frac{VW}{sin(U)} [/tex]

W = 34° [180 - (113+33)]

U = 33°

VW = 29 m

UV = ?

[tex] \frac{UV}{sin(34)} = \frac{29}{sin(33)} [/tex]

Multiply both sides by sin(34)

[tex] \frac{UV*sin(34)}{sin(34)} = \frac{29*sin(34)}{sin(33)} [/tex]

[tex] UV = \frac{29*sin(34)}{sin(33)} [/tex]

[tex] UV = 29.8 m [/tex]

Step 2: find the area of the triangle

Area = ½*a*b*sin(θ)

a = 29.8 m

b = 29 m

θ = 113°

Area = ½*29.8*29*sin(113)

Area = 397.7 m² (nearest tenth)

Answer:

The total revenue will decrease.

Step-by-step explanation:

The price elasticity of demand is 1.30 that shows that change in the quantity of tomatoes is greater than the change in the price of tomatoes. The hail storm will decrease the quantity (supply) of tomatoes. However, this decrease in supply will increase the price but the ratio of change in quantity will be more than the ratio of change in price. Thus, total revenue from tomatoes will also fall.

Answer:

[tex]24200 mm^{2}[/tex]

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}

Answer:

41/99

Step-by-step explanation:

There are two types of non terminating decimals. These are: Simple and Mixed

The one that you wrote up here is Simple, Since 41 is the only number that goes on repeating itself.

And mixed non terminating decimal is like 0.352 whereas 52 keeps repeating itself.

So when you change a non terminating decimal the denominator is always 9. But it depends on the decimal whether it is simple or mixed.

Since the decimal you wrote is simple and 2 digits keep on repeating themselves the denominator will be 99.

And the numerator will be the decimal number that keeps repeating itself without the repeating bar.

Therefore, the answer is 41/99.

Hope it helps ;) ❤❤❤

Answer:

184 cm²

Step-by-step explanation:

Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)

L is the length of the box = 90 cm

W is the width of the box = 50 cm

H is the height of the box= 90 cm

If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;

S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)

Note that dL = dW = dH = 0.2 cm

Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box

S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))

S = 2{18+10+18+18+10+18}

S = 2(92)

S = 184 cm²

Hence, the maximum error in calculating the surface area of the box is 184cm²

======================================================

Work Shown:

f ''' (x) = cos(x) .... third derivative

f '' (x) = sin(x)+C ... integrate both sides to get second derivative. Don't forget the +C at the end

We are given f '' (0) = 9, so we'll make use of this to find C

f '' (x) = sin(x)+C

f '' (0) = sin(0)+C

9 = sin(0) + C

9 = 0 + C

9 = C

C = 9

Therefore, f '' (x) = sin(x)+C turns into f '' (x) = sin(x)+9

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

Integrate both sides of the second derivative to get the first derivative function

f '' (x) = sin(x)+9

f ' (x) = -cos(x)+9x+D ... D is some constant

Make use of f ' (0) = 4 to find D

f ' (x) = -cos(x)+9x+D

f ' (0) = -cos(0)+9(0)+D

4 = -1 + 0 + D

D = 5

So we have f ' (x) = -cos(x)+9x+D turn into f ' (x) = -cos(x)+9x+5

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

Lastly, apply another round of integrals and substitutions to find the f(x) function. We'll use f(0) = 8.

f ' (x) = -cos(x)+9x+5

f(x) = -sin(x) + (9/2)x^2 + 5x + E .... E is some constant

f(0) = -sin(0) + (9/2)(0)^2 + 5(0) + E

8 = 0 + 0 + 0 = E

E = 8

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

We have

f(x) = -sin(x) + (9/2)x^2 + 5x + E

turn into

f(x) = -sin(x) + (9/2)x^2 + 5x + 8

Answer:

Px = $4

Step-by-step explanation:

Given that:

En el mercado de satisfacción X hay 10,000 individuos idénticos, cada uno con una función de demanda definida por Qdx = 12 - Px y 1,000 productores idénticos de X satisfactorio, cada uno con una función de oferta dada por Qsx = 20 Px

El precio de equilibrio y la cantidad de equilibrio se pueden determinar de la siguiente manera;

Qdx = 10000(12-Px)

Qdx = 120000 - 10000Px

Qsx = 1000(20 Px)

Qsx = 20000 Px

El punto de equilibrio para completar el enunciado, cuando Qdx = Qsx es:

Qdx = Qsx

120000 - 10000 Px =   20000 Px

120000 =  20000 Px + 10000 Px

120000 =  30000 Px

Px = [tex]\mathbf{ \dfrac{120000}{30000}}[/tex]

Px = $4

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It looks lilke one of those old'n day Juice makers

2, 3 , and 4 would be the part im talking about.

You can write : I seleted the story called Old In Day Juice Makers

( I don't know about the paragraph, sorry)

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

The algebraic expression is v = 2x

v is the volume of the sugar syrup and

x is the mass of sugar in grams.

Step-by-step explanation:

Let x be the mass of sugar in grams and v be the volume of sugar syrup.

So, mass of sugar in grams/volume of sugar syrup × 100 % = 50 %

x/v × 100 % = 50 %

x/v = 50/100

x/v = 1/2

v = 2x

So, the algebraic expression required is v = 2x where v is the volume of the sugar syrup and x is the mass of sugar in grams.

Answer:

(-7/9, -4/9)

Step-by-step explanation:

i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL

Hope do will on what you are doing :)

If you want you can give me brainliest, it helps me a lot

have a good day :)

Answer:

I got (1,-4) on my Khan

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-y=6

(0,-6),(6,0)

4x+y=4

(0,4),(1,0)

point of intersection:

Answer:

for first eq

three points are (7,-1) (6,0) and (5,1)

for second eq

three points are (1,0) (0,4) and (-1,8)

point of intersecton is (2,-4)

Step-by-step explanation:

check by substituting if u want

hope i helped

pls give brainliest

im trying to level up

Answer:

yes, the base is 4

Step-by-step explanation:

Answer:

[tex]f(5)=17[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2[/tex]

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=15+2[/tex]

[tex]f(5)=17[/tex]

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5)+ 2

f(5) = 15 + 2

f(5) = 17

Answer:

You have to shade 6 pieces.

Step-by-step explanation:

Hope it helps!

Answer:

y = - 4

Step-by-step explanation:

Locate x = - 1 then follow the line down until it meets the curve and read the corresponding value on the y- axis at this point.

For x = - 1, y = - 4

Answer:

 is the correct answer.

Step-by-step explanation:

As per the question statement:  

Cost of Chocolate milk which is ordered already = $3.25.

Benjamin want his bill to be at most =  $30

Each stack of pancakes contains 4 pancakes.

Each stack of pancake costs= $5.50

Given that S represents the number of stacks of pancakes bought.

We have, Cost of 1 pancake = $5.50

Now, let us calculate the cost of the number of stacks of pancakes bought.

[tex]\text{Cost of one stack of pancakes}\times \text{Number of stacks of pancakes bought}[/tex]

i.e.  

[tex]5.50S[/tex]

So, total bill = Cost of chocolate milk shake + Money spent on stacks of pancakes = [tex]\$3.25+5.50S[/tex]

Now, this money should be lesser than or equal to $30 because maximum bill that Benjamin wants is $30.

So, the inequality can be written as:

[tex]\bold{3.25+5.50S \le 30}[/tex]

Please refer to https://brainly.com/question/17138529 as well.

3.25+5.50S < (with line under it) 30

To add on to what isyllus said...

3.25+5.50S < (with line under it) 30 is the equation

16 pancakes is the amount.

:) hope this helps!

Answer:

[tex]4\sqrt{2}\\\\7\sqrt{2} \\\\13\sqrt{2}[/tex]

Step-by-step explanation:

Well the diagonal using pythagora's theorem:

[tex]x\sqrt{2}[/tex] where x is the lenght is the side of the square

so when x=4

[tex]4\sqrt{2}[/tex]

when x=7

[tex]7\sqrt{2\\}[/tex]

when x=13

[tex]13\sqrt{2}[/tex]

The length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].

Given side of squares.

We have to calculate the length of diagonal.

We know that in square shape,

length of diagonal [tex]=\sqrt{2} a[/tex], here a is the side of square.

So when square has a side of 4 then its diagonal becomes [tex]4\sqrt{2}[/tex].

when square has a side of 7 then its diagonal becomes [tex]7\sqrt{2}[/tex].

when square has a side of 13 then its diagonal becomes [tex]13\sqrt{2}[/tex].

Hence the length of diagonal is for (a=4) is [tex]4\sqrt{2}[/tex], for(a=7) is [tex]7\sqrt{2}[/tex] and for (a=13) is[tex]13\sqrt{2}[/tex].

For more details on length of diagonal of square follow the link:

https://brainly.com/question/16716787

Answer:

x = 26, 16

Step-by-step explanation:

( x-21) ^2 = 25

Take the square root of each side

sqrt(( x-21) ^2) = ±sqrt(25)

x-21 = ±5

Add 21 to each side

x-21+21 = 21±5

x = 21±5

x = 21+5  and x = 21-5

x = 26, 16

Answer:

$3,500

Step-by-step explanation:

First, Lets analyze the problem.

LeBron buys 500 shares for $10 a share. So he buys 500 shares for $5,000.

Now the price drops to $3, he had 500 stocks, the stocks are now only worth $1500.

5000-1500=3,500

He has lost $3,500 in the Tiger Corporation shares.

Answer:

1st one

Step-by-step explanation:

The rational function which is graphed below is  F(x)=-1/x, the correct option is B.

Function is a type of relation, or rule, that maps one input to specific single output;

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships;

Linear function is a function whose graph is a straight line;

We are given that;

The graph of the function

Now,

Points on 1/(x + 4);

The function y = 1/(x + 4) is a hyperbola. It has two branches that extend infinitely in opposite directions. The x-axis and y-axis are both asymptotes of the hyperbola.

Points on y= 1/x-4;

The function y = 1/(x - 4) is also a hyperbola. Its asymptotes are the vertical line x = 4 and the horizontal line y = 0;

Points on y = 1/(x-1);

The function y = 1/(x-1) is also a hyperbola. Its asymptotes are the vertical line x = -4 and the horizontal line y = 0.

Therefore, by the given graph function will be F(x)=-1/x;

Learn more about function here;

https://brainly.com/question/2253924

#SPJ7

Answer:

Step-by-step explanation:

P (m) = a (m + 1) + b (m + 1) - c (m + 1)

P (m) = (a + b - c) (m + 1)

There are 2 prime factors

Step-by-step explanation:

I DON'T KNOW WHICH ANSWER IS CORRECT .

BUT MY ANSWER CAME THIS .

I HOPE IT WILL HELP YOU.

HAVE A NICE DAY.....

here is your formula then

Answer:

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Step-by-step explanation:

(2x + 3) (3x – 5)=

6x²+9x-10x-15=

6x²-x-15

degree: second

leading coefficient : 6 , -1

constant : -15

Answer: 180

Step-by-step explanation:

Let the tons of ice the ship was carrying when it set sail be y.

We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.

This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:

2/3 × y = 120

2y/3 = 120

2y = 120 × 3

2y = 360

y = 360/2

y = 180

The ship was carrying 180 tons of ice when it set sail

Answer:

-2

Step-by-step explanation:

when setting up the synthetic division

it starts with -1(2) = -2

Answer:

144 m²

Step-by-step explanation:

top triangle area: (8 x 6) / 2 = 24

bottom triangle area: (8 x 6) / 2 = 24

back rectangle area: 8 x 4 = 32

left rectangle area: 6 x 4 = 24

right rectangle area: 10 x 4 = 40

add all: 144 m²

Answer:

There are 5 surfaces for which you will have to calculate area.

the back is 4 by 8  = 32 mi^2

The bottom is 4 by 6 = 24 mi^2

the tilted ramp 4 by 10 = 40 mi^2

There are 2 side triangles 8 by 6  area of 1 triangle = 8*6/2 = 24 mi^2

area of BOTH triangles = 2 * 24 = 48 mi^2

Total area = 32 + 24 + 40 + 48 = 144 mi^2

Step-by-step explanation:

A) 22°

∡DBG = (360° - BD - BG)/2

= (360° - 170° - 146°)/2

= 44°/2

= 22°

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

Thus,

the answer is C. 16π.

Hope this helps :)

This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.

Answer:

11 units

Step-by-step explanation:

The shaded portion of the rectangle forms the shape of a trapezium

The area of a trapezium = 1/2(a + b)h

From the diagram, we can see than x = b

a = 7 units

b = 7 units

Area of the trapezium = Area of the shaded portion = 63 square units

A = 1/2(a + b)h

63 = 1/2(7 + b)7

63 = 1/2(49 + 7b)

63 × 2 = 49 + 7b

126 - 49 = 7b

7b = 77

b = 77/7

b = 11 units

Since x = b, x = 11 units

The value of x is 11

Start by calculating the area (A) of the trapezoid using

[tex]A= 0.5 * (a + b)h[/tex]

Using the parameters from the complete question, we have:

[tex]63 = 0.5 * (7 + x) * 7[/tex]

Multiply both sides by 2

[tex]126 = (7 + x) * 7[/tex]

Divide both sides by 7

[tex]18 = 7 + x[/tex]

Subtract 7 from both sides

[tex]x = 11[/tex]

Hence, the value of x is 11

Read more about shaded areas at:

https://brainly.com/question/24579466