Simplify the expression. (x)^2(2xy^3)^5

[tex]2800(0.95)^t~~ = ~~2800(b)^{\frac{t}{10}}\implies \cfrac{2800(0.95)^t}{2800}=b^{\frac{t}{10}}\implies 0.95^t=b^{\frac{t}{10}} \\\\\\ (0.95)^{\frac{10t}{10}}=b^{\frac{t}{10}}\implies (0.95^{10})^{\frac{t}{10}}=b^{\frac{t}{10}}\implies (0.5987)^{\frac{t}{10}}\approx b^{\frac{t}{10}}\implies 0.5987 \approx b \\\\[-0.35em] ~\dotfill\\\\ ~\hfill f(t)\approx 2800(0.5987)^{\frac{t}{10}}~\hfill[/tex]

Answer:

Step-by-step explanation:

Use law of cosine to calculate the other side.

c² = a² + b² -2ab Cos C

Here, c  is the length of the side which is  opposite side to ∠E

a = 29   ; b = 25  and C = 109

c² = 29² + 25² - 2*29*25*Cos 107

    = 841 + 625 - 1450* (-0.2923)

     = 1466 + 423.835

     = 1889.835

c =√1889.835

c = 43.47 ≈ 43

No, find ∠D using again use law of cosine

[tex]Cos \ \beta = \dfra{a^{2}+c^{2}}-b^{2}{2ac}\\\\\\ = \dfrac{29^{2}+43^{2}-25^{2}}{2*29*43}\\\\\\Cos \ \beta =\dfrac{841+1849-625}{2494}=\dfrac{2065}{2494}\\\\Cos \ \beta = 0.828\\\\\beta =Cos^{-1} \ 0.828\\\\[/tex]

β = ∠C = 34°

α = 180 - (34 +107)

α = ∠D = 39

Other angles are

∠C = 34°     and  ∠D°39

Answer:

Step-by-step explanation:

To get one portion of soup, each ingredient should be divided by 3

Quantity of onion required=  180 ÷ 3 = 60 g

Quantity of carrots required = 120 ÷ 3 = 60 g

Oil = 3 ÷ 3 = 1 table spoon

Quantity of tomatoes required = 600 ÷ 3 = 300 g

Vegetable stock = 1.2 ÷ 3 = 0.4 litres

Answer:

B

Step-by-step explanation:

5×sqrt(8)×3×sqrt(4) = 15×sqrt(8)×sqrt(4) = 15×sqrt(8)×2 =

= 30×sqrt(8) = 30×sqrt(4×2) =

= 30×2×sqrt(2) = 60×sqrt(2)

Answer:

[tex]2x^3 +x^2 -5x+9 -\frac{17}{x+2}[/tex]

Step-by-step explanation:

See picture for explanation

The equation x^2−2x+c=0 is an illustration of a quadratic equation

The value of c is 1

The equation is given as:

x^2 -2x + c = 0

A quadratic equation is represented as:

ax^2 + bx+ c = 0

When the quadratic equation  has two roots of one sign, the following equation is true

b^2 =4ac

So, we have:

(-2)^2 =4 * 1 * c

Evaluate the exponent and the product

4 = 4c

Divide both sides by 4

c= 1

Hence, the value of c is 1

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The answer to this problem is:

0<c<1

Answer:

6 = 6/10

Step-by-step explanation:

.6 = 6/10 , by definition. = 3/5 (reduced -- divide numerator and denominator by 2.

Answer:

[tex]\dfrac{60}{100}[/tex]

Step-by-step explanation:

Six tenths:

[tex]\dfrac{6}{10}[/tex]

where 6 is the numerator and 10 is the denominator

We want the denominator to be 100, so how do we convert 10 into 100?

We multiply by 10, since 10 x 10 = 100

When working out equivalent fractions, we must remember to do the same operation to both the numerator and denominator.  Therefore, we should multiply both by 10:

[tex]\dfrac{6 \times 10}{10 \times 10}=\dfrac{60}{100}[/tex]

Therefore, the fraction that is equivalent to six tenths and has a denominator of 100 is:

[tex]\dfrac{60}{100}[/tex]

(sixty hundredths)

Answer:

15500

Step-by-step explanation:

Solution

here

price of tv after discount: 13950

discount : 10%

now,

Answer: 70 degrees

Step-by-step explanation:

Answer:

π/2 : 1 or π : 2

Step-by-step explanation:

In the attachments I have a picture of a square inscribed in a circle.

Call the side of the square a. Therefore, the area of the square is a^2.

We can also see that the diagonal of the square is the circle's diameter.

Using the Pythagorean Theorem we find that the diagonal/diameter of the circle is a√2. Thus the radius is that divided by 2, which is (a√2)/2.

We also know that the formula for a circle's area is πr^2, so the area of the circle is π((a√2)/2)^2 --> π(a^2)(2)/4 --> π(a^2)/2.

Hence the ratio of the circle to the square is π(a^2)/2 to a^2 which is π/2 to 1 or π to 2.

Answer:

2/5 :)

Step-by-step explanation:

Considering it's concept, it is found that the net worth of the individual is given by:

D) $26,595.

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

Researching the problem on the internet, we have that:

Hence, his net worth is given by:

N = 171645 - 145050 = $26,595.

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The net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.

The net worth is the value of assets less the value of liabilities.

The net worth shows the amount by which the assets have increased or decreased in value versus the liabilities.

Assets = $171,645

Liabilities = $145,050
Net worth = $26,595 ($171,645 - $145,050)

Thus, the net worth of the individual with assets worth $171,645 and liabilities of $145,050 is D) $26,595.

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Answer:

Any ratio where the original sides are both multiplied by the same number.

For example,

4 : 5  (your ratio)

4 x 2 : 5 x 2  (multiply both sides by a number)

8 : 10   (equivalent ration)

Answer:

A on edge

Step-by-step explanation:

:)

A triangle is a three-edged polygon with three vertices. The length of QS is equal to 17 units.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Given that the Line l is a perpendicular bisector of line segment RQ and bisects it at point T. Therefore, the length of the two lines is,

RT = QT

Now, in ΔRST and ΔQST,

RT ≅ QT

ST ≅ ST {Common side}

Now, since the two triangles are the right-angled triangle, therefore, the two triangles are congruent. Thus, we can write,

RS = SQ

Given that the Line segment, RS is 3x+2. Line segment SQ is 5x-8.

RS = SQ

3x + 2 = 5x - 8

2 + 8 = 5x - 3x

10 = 2x

x = 5

QS = 5x - 8

     = 5(5) - 8

     = 25 - 8

     = 17 units

Hence, the length of QS is equal to 17 units.

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Answer:

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

216cm^2

Step-by-step explanation:

brainliest please

Answer:

6/11

Each time you spin the pointer there is a 3/8 for each of the two spins. That means there is a 6/11 chance of the pointer landing on blue for both times the pointer is spun.

Step-by-step explanation:

Each spin there are 8 possible sections the spinner can land on. The circle has 3 blue sections. The question asks what is the probability of the spinner landing on blue for BOTH spins. This means that you would have to show the denominator as 16. Each time you spin the pointer there is a 3/8 chance it will touch blue. When you spin it two times there is a 6/16 probability that the spinner will land on blue for each of the times the pointer is spun.

Have a great rest of your day
#TheWizzer

Mikhail is 9

Step-by-step explanation:

Divide 27 by 3 because G is 2 times than Mik. So G=2 Mik=1. and 27 divided 3 is 9

Answer:

y=2x-3

Step-by-step explanation:

Hi there!

We are given the points  (0, –3) and (4, 5)

We want to find the equation of the line between these points

There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

To write the equation of the line in this way, we need to first find the slope of the line
The slope can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We already have 2 points, but let's label their values to avoid confusion and mistakes when calculating.

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{5--3}{4-0}[/tex]

Simplify

m=[tex]\frac{5+3}{4-0}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m=2

We found the slope of the line.

Here is the equation of the line so far:

y=2x+b

Now let's find b

As stated before, b is the y intercept of the line, which is the point where the line passes through the y axis; the value of x at the y intercept is 0

One of the points we were given (0, -3) is actually the y intercept of the line!

The value of b is the value of y at the y intercept; in this case, b is equal to -3

Now substitute -3 as b in the equation.

y=2x-3

Hope this helps!

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Answer:

Step-by-step explanation:

I think this is the answer because Triangle A, has a unique that all sides have a measure of 60 degrees. And I also think that Triangle B is unique because It's an Equilateral triangle, which means that all sides have the same length.

So hence, I think the answer is A and B

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Always keep more than 2 smiles! You have to share them with people who don't have one too, right??

Thanks!

:D

Answer:

A Translation 2 units left and 1 unit down

Step-by-step explanation:

Answer:

you can search them up! Just search up fractions calculator

Step-by-step explanation:

Answer:

home

Step-by-step explanation:

I'm not sure I'm just guessing honestly

Answer:

No solution

Step-by-step explanation:

System of Linear Equations given :

[1]           6x-2y=8

 [2]           1-3x+y=-4

Equations Simplified or Rearranged :

  [1]    6x - 2y = 8

  [2]    -3x + y = -5

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = 3x - 5

// Plug this in for variable  y  in equation [1]

  [1]    6x - 2•(3x-5) = 8

  [1]    0 = -2 =>  NO solution

I can give you a hint. So when we do the composition of functions, if we plug 2 functions into each other and get x by itself, that means the functions are inversely related.

For this problem, simply find the inverse of f(x).

If you are stuck, I could provide you with a solution below...

f(x) = 8x³ - 2

y = 8x³ - 2

y + 2 = 8x³

(y + 2)/8 = x³

cube root((y + 2)/8) = x

g(x) = cube root((x + 2)/8)

The value of function g(x) after solving will be ∛(x + 2) / 2.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The value of function,

f(x) = 8x³ − 2

And, f(g(x)) = x and g(f(x)) = x

Now,

Since, f(g(x)) = x

And, f(x) = 8x³ − 2

The substitute x = g (x) in above equation we get;

f (g(x)) = 8 (g(x))³ - 2

x = 8 (g(x))³ - 2

Add 2 both side;

x + 2 = 8 (g(x))³  

Divide by 8;

(x + 2)/8 = (g(x))³

Take cube root both side;

∛(x + 2)/8 = g(x)

g(x) = ∛(x + 2) / 2

So, The value of function g(x) after solving will be ∛(x + 2) / 2.

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The x-intercepts of the quadratic equation are given by x = -2 and x = 30.

A quadratic equation is modeled by:

y = ax² + bx + c.

The x-intercepts are the values of x when y = 0, given by:

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]

In which:

[tex]\Delta = b^2 - 4ac[/tex]

In this problem, the equation is:

y = 60 + 28x - x².

Hence the coefficients are a = -1, b = 28, c = 60.

Then:

[tex]\Delta = 28^2 - 4(-1)(60) = 1024[/tex]

[tex]x_1 = \frac{-28 + \sqrt{1028}}{-2} = -2[/tex]

[tex]x_2 = \frac{-28 - \sqrt{1028}}{-2} = 30[/tex]

The x-intercepts of the quadratic equation are given by x = -2 and x = 30.

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Answer:

Light

Step-by-step explanation:

Light can travel approximately 186,000 miles per second so the answer we are looking for in here is light.

The surface area of a cone with circumference base of 24π inches and slant height of 20 inches is 384π inches² in terms of π.

surface area = πr(r + l)

where

Therefore,

l = 20 inches

24π = 2πr

r = 12

Therefore,

surface area  = π(12)(12 + 20)

surface area = 12π(12 + 20)

surface area = 12π × 32

surface area = 384π inches²

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Answer:

B)  384 π square inches

Step-by-step explanation:

E2020

Answer:

[tex]2551\dfrac{1}{2}[/tex]

Step-by-step explanation:

[tex]\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in[/tex]

[tex]\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in[/tex]

Volume of rectangular prism = l*w*h

                                                 [tex]= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches[/tex]

Answer:

[tex]\sf 2551\frac12 \ cubic \ inches[/tex]

Step-by-step explanation:

volume of a cuboid = width × length × height

Given:

Substituting given values into the formula for volume:

[tex]\sf \implies volume=10\frac12 \times 20\frac14 \times 12[/tex]

                  [tex]\sf =\dfrac{21}{2} \times \dfrac{81}{4} \times \dfrac{12}{1}[/tex]

                  [tex]\sf =\dfrac{21 \times 81 \times 12}{2 \times 4 \times 1}[/tex]

                  [tex]\sf =\dfrac{20412}{8}[/tex]

                  [tex]\sf =2551\frac12 \ in^3[/tex]