how do you simplify this using the laws of exponents?

Answer:

It is 49

Step-by-step explanation:

multiply 12.25 by 4  since 1 inch is 12.25 and 4 inches times 12.25 is 49

Answer:

132 degrees

Step-by-step explanation:

answer : 48 degrees

method

1. opposite angles are the same , so CFG os the same as GAC - these two added up are 132 + 132 = 264

2. angles add up to 360 in a quadrilateral , so the sum of the two remaining angles is 360 - 264 = 96

3. because the two remaining angles , ACF and FGA , are opposite , those are equal too. so u just half to get one of them : 96 / 2 = 48

Answer:

10 / 16

Step-by-step explanation:

10/16

5 x 2 = 10

8 x 2 = 16

Answer:

x^2 = 9^2-6^2 = 81-36 = 45

x = √45

UW = √45 ft

Answer: 38  think

Step-by-step explanation:

Answer:

ok so

Step-by-step explanation:

874÷23=38

yw:)

Answer:

we cant see the graph ... post again so we can help

Answer:

z(s) =  - 2,15 We accept H₀

Step-by-step explanation:

Assume Normal Distribution.

Sample size                  n = 290

Sample mean               μ = 7,6

Sample standard deviation   s = 0,8

Level of significance  0,02   ( CI = 98 % )

population mean  μ₀ = 7,5

α = 0,02       the valve could fail under and above the spec value ( 7,6 ) therefore we must develop a two-tail test

α/2  =  0,01

Hypothesis Test

Null hypothesis                                      H₀       μ   =  μ₀

Alternative Hypothesis                         Hₐ        μ   ≠  μ₀

for  α  =  0,01    z(c)  = - 2,3

To calculate  z(s)

z(s)  =  ( μ   -  μ₀ ) / s/√n

z(s)  =  ( 7,5 - 7,6 ) /0,8/√290

z(s) = - 0,1 * 17 /0,8

z(s) =  - 1,7 / 0,8

z(s) =  - 2,15

Comparing   z(s)  and  z(c)

- 2, 15  < - 2,3

|z(s)|  <  | z(c)|

Then z(s) is in the acceptance region. We don´t have evidence to reject H₀

Answer:

2/3

Step-by-step explanation:

Answer:

uuuuuuuuuuuuuummmmmmmmmmmmm what

Step-by-step explanation:

Answer:

58% of 250 is 145.

Step-by-step explanation:

145 * 100/58

= 250

Answer:

250

Step-by-step explanation:

Using the decay constant on the exponential function, the mass of the sample that will be left in 2013 is 35g

An exponential function is a function that can be expressed in the form     f(x) = b^x, where b is a positive real number and x is a real number. The graph of an exponential function is a curve that increases or decreases rapidly as x increases or decreases.

here, we have,

In the exponential decay, the decay function can be given as;

y = ae⁻ⁿˣ

a = initial mass of sample

n = disintegration constant

x = time

The disintegration constant is also know as the rate of decay and we can calculate it as;

260 = 470e⁻ⁿ⁽³⁾

n = 0.197

n = 0.2

The disintegration constant is 0.2

The amount left in 2013 will be;

y = 470e⁻⁽⁰.²⁾⁽¹³⁾

y = 34.90

The mass in 2013 is 35g

Learn more on exponential function here;

brainly.com/question/2456547

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complete question:

A sample of a radioactive isotope had an initial mass of 470 mg in the year 2000 and decays exponentially over time. A measurement in the year 2003 found that the sample's mass had decayed to 260 mg. What would be the expected mass of the sample in the year 2013, to the nearest whole number?

Answer:

the number of minutes of call when the two cost plans would be equivalent to each other is 175 minutes

Step-by-step explanation:

The computation of the number of minutes of call when the two cost plans would be equivalent to each other is shown below:

Let us assume the number of minutes be x

Now the equation is

$9 + 0.13x = $16 + $0.09x

0.13x - 0.09x = $16 - $9

0.04x = $7

x = $7 ÷ 0.04

= 175 minutes

Hence, the number of minutes of call when the two cost plans would be equivalent to each other is 175 minutes

9514 1404 393

Answer:

  120.8%

Step-by-step explanation:

Maybe you want to find $42,900 as a percentage of $35,500.

That is ...

  42900/35500 × 100% = 120.8%

__

Comment on the question

The question is easier to read if you don't shuffle the phrases. Copying and pasting often requires a check and edit step afterward.

Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

[tex]y=\dfrac13x-4[/tex]

[tex]3y-x=-7[/tex]

Substitute [tex]y=\dfrac13x-4[/tex] in [tex]3y-x=-7[/tex],  we get

[tex]3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7[/tex] , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

Answer: I think its a

Step-by-step explanation:

Answer:

Therefore, n is smaller than 26 (n < 26).

Step-by-step explanation:

First, you have to form an inequality. With the given informations, the inequality will be :

[tex]n - 6 < 20[/tex]

Next, you have to solve it, by adding 6 to both sides :

[tex]n - 6 < 20[/tex]

[tex]n - 6 + 6 < 20 + 6[/tex]

[tex]n < 26[/tex]

Answer:

N-6≤20 N≤26

Step-by-step explanation:

n-6≤20

n-6=20

  +6 +6

n≤26

Answer:

0.50 %

Step-by-step explanation:

= profit/cost x 100%

= 11.95 - 7.95 = 4

= 4/7.95 x 100 %

= 0.50 %

Answer:

9 ÷ 15x

Step-by-step explanation:

( 52 - 43 ) /3x ( 2 + 3)

PEMDAS

Parenthesis, Exponents, Multiplication, Divison, Addition, Subtraction

Do the parenthesis first.....

52 - 43 = 9

9 ÷ 3x ( 2 + 3)

Parenthesis ( do the distributive property...multiply 3x by whatever is inside the parenthesis)

9 ÷ 3x × 2 + 3x × 3

9 ÷ 6x + 9x

Combine like terms (both x's)

9 ÷ 15x

You can't do anymore, since it is just an expression, and not an equation

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

I think they are similar by SAS.

Step-by-step explanation:

Both triangles may not be the same size, but they have similar sides and similar angles.

Answer:

You have to answer to other question before answering this one, just in case anyone was confused

Step-by-step explanation:

Answer:

[tex]\frac{(2x-3)(x+7)}{x+3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x^3+11x^2-21x}{x^2+3x}[/tex]

Required

Select equivalent expression

[tex]\frac{2x^3+11x^2-21x}{x^2+3x}[/tex]

Factorize the numerator and denominator

[tex]\frac{x(2x^2+11x-21)}{x(x+3)}[/tex]

Divide by x/x

[tex]\frac{2x^2+11x-21}{x+3}[/tex]

Expand the numerator

[tex]\frac{2x^2+14x-3x-21}{x+3}[/tex]

Factorize the numerator

[tex]\frac{2x(x+7)-3(x+7)}{x+3}[/tex]

[tex]\frac{(2x-3)(x+7)}{x+3}[/tex]

Hence, the equivalent expression is:

[tex]\frac{(2x-3)(x+7)}{x+3}[/tex]

Answer:

The domain of the inverse is x >= -1

Step-by-step explanation:

Functions:

Domain: Values of input(usually x).

Range: Values of output(usually y)

Inverse function:

The domain of the inverse function is the range of the original function.

The range of the inverse function is the domain of the original function.

In this question:

Original function has range y >= -1.

So the domain of the inverse is x >= -1

Answer:

I believe it would be 9 hours for company 1, and 10 for company 2

Step-by-step explanation:

30 x 9 = 270 (+ the first 20) =290

25 x 10 = 250 (+ the first 40) =290

Answer:

$40

Step-by-step explanation:

100% just means the whole, so 100% of $40 is $40.

the answer I guess is 8.

Answer:

3/16 pound

Step-by-step explanation:

hope it helps the picture show how its done

Answer:

Area of 27" 4:3 screen = 349.92 square inches

Area of 27" 16:9 screen ≅ 311.5 square inches

Traditional 4:3 screen is larger

Step-by-step explanation:

The Traditional TVs is  larger than  LCD tv screen

The diagonal of a rectangle is a line segment that joins any two of its non-adjacent vertices.

The length of diagonals of a rectangle can be calculated as:

Diagonal of rectangle = [tex]\sqrt{Length^{2} + Breath^{2} }[/tex]

According to the question

The screen size of a television is determined by the length of the diagonal of the rectangular screen.

Traditional TVs

Ratio of the length to width =  4:3

Let a be the constant for both length and width

therefore

Length of Traditional TVs = 4a

Width of Traditional TVs = 3a

The area of a 27-inch traditional tv screen

i.e

Diagonal of Traditional TVs =  27

Now applying formula of diagonal of rectangle

Diagonal of rectangle = [tex]\sqrt{Length^{2} + Breath^{2} }[/tex]

substituting the values

27 = [tex]\sqrt{(4a)^{2} + (3a)^{2} }[/tex]

27 = [tex]\sqrt{16a^{2} + 9a^{2} }[/tex]

27 = [tex]\sqrt{25a^{2} }[/tex]

27 = ± 5a

a cannot be -ve

a = 5.4

now,

Length of Traditional TVs = 4* 5.4 = 21.6 inches

Width of Traditional TVs = 3 * 5.4 = 16.2 inches

Area of Traditional TVs = Length * width

                                       = 21.6 * 16.2

                                       = 349.92 [tex]inches^{2}[/tex]

LCD TVs

Ratio of the length to width =  16:9

Let a be the constant for both length and width

therefore

Length of LCD TVs = 16a

Width of LCD TVs = 9a

The area of a 27-inch LCD TVs screen

i.e

Diagonal of LCD TVs=  27

Now applying formula of diagonal of rectangle

Diagonal of rectangle = [tex]\sqrt{Length^{2} + Breath^{2} }[/tex]

substituting the values

27 = [tex]\sqrt{(16a)^{2} + (9a)^{2} }[/tex]

27 = [tex]\sqrt{256a^{2} + 81a^{2} }[/tex]

27 = [tex]\sqrt{337a^{2} }[/tex]

27 = ± 18.357a

a cannot be -ve

a = 1.47

now,

Length of LCD TVs = 16*1.47 = 23.53

Width of LCD TVs = 9*1.47 = 13.23

Area of Traditional TVs = Length * width

                                       = 21.6 * 16.2

                                       = 311.30 [tex]inches^{2}[/tex]

Hence, the Traditional TVs is  larger than  LCD tv screen .

To know more about diagonal of rectangle here:

https://brainly.com/question/26044249

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Answer:

$41.69

Step-by-step explanation:

The computation of the selling price of the each pair of slacks is as follows:

Given that

Cost = $19.36 per pair  

Markup = $22.33

As we know that  

Markup = Sell Price - Cost

So,  

Sell Price = Cost + Markup

= $19.36 + $22.33

= $41.69

Hence, the selling price is $41.69