Solve the following radical equations.
2√x =√(x+1)

Answer:

x = 120°

Step-by-step explanation:

Since s and t are parallel and are on a supplementary line, that means that the interior angle and the exterior angle (60°) will equal 180° (supplementary)

So to find the angle of x, you have to minus 60 from 180, and you get x, which is 120°

I hope this helps! :)

Using laws of indices, we can easily find the values of expressions below.

To solve this given problem, we have to apply different laws of indices.

12.

[tex](x^4 * x^-8)^3 = x^-^1^2=\frac{1}{x^1^2}[/tex]

13.

[tex](a^5b^2)^-^3* (a^-^2)^-^3 = \frac{1}{a^9b^6}[/tex]

14.

[tex]\frac{(m^-^3n^-^4)^8}{(m^2n^5)^-^7}=\frac{n^3}{m^1^0}[/tex]

15.

[tex]\frac{(p^-^2^0^0q^1^7^0)^-^3^0}{(p^4^0q^5^0)^9^0} =\frac{p^2^4^0^0}{q^9^6^0^0}[/tex]

16.

[tex]\frac{[(x^2y^8)^-^1]^3*(y^-^1^2)^6}{(x^-4y^5)^2*x^6(y^-^1)^3}=\frac{1}{x^4y^1^0^3}[/tex]

17.

[tex]\frac{(2m^-^7n^8)^6}{4m^9n^-^5)^-^3}*\frac{(8m^-5n)^6}{(2mn^3)^-5} = \frac{134217728n^7^4}{m^7^6}[/tex]

From the above calculation, we can solve the respective given expression using indices.

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Answer:y x

Step-by-step explanation:

calculator

Answer:

Let the number of equations be x and the number of vocabulary questions be y.

x + y = 26 (total num of questions)So, y = 26 - x (eliminate one variable to solve for one first)2x + 5y = 100 (total points)2x + 5 (26 - x) = 100 (substituting 26 - x in place of y)

2x + 130 - 5x = 100 (distributing the 5)-3x = -30x = 10

Since there are 10 equation questions, there must be 16 vocabulary questions to satisfy the total number of questions in the test

Hope this helps!

The simplification of √x / √6 y³ after rationalizing all denominators is

[tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex]/ 6

Given; [tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex] , we are to simplify and also rationalize the denominators

[tex]\frac{\sqrt{x} }{\sqrt{6} y^{3} }[/tex]  *  [tex]\frac{{\sqrt{6} y^{3} }}{{\sqrt{6} y^{3} }}[/tex]

= [tex]{\sqrt{6} y^{3} }[/tex] * [tex]\sqrt{x}[/tex] / [tex]{\sqrt{6} y^{3} }[/tex]*  [tex]{\sqrt{6} y^{3} }[/tex]

=[tex]\sqrt{6x}[/tex] * [tex]y^{3}[/tex] / [tex]\sqrt{36}[/tex]* [tex]y^{6}[/tex]

= [tex]\sqrt{6x}[/tex] *  [tex]y^{3}[/tex] / 6 * [tex]y^{6}[/tex]

=[tex]\sqrt{6x}[/tex] * [tex]y^{3-6}[/tex]  / 6

= [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6

The final answer to this question, is, [tex]\sqrt{6x}[/tex] [tex]y^{-3}[/tex] /6

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Answer:

x < - 5

Step-by-step explanation:

4x + 1 < 3x - 4 ( subtract 3x from both sides )

x + 1 < - 4 ( subtract 1 from both sides )

x < - 5

the graph is the number line with an open circle at - 5 and arrow pointing to the left.

Answer: x<-5

Step-by-step explanation: i did it on OW

Answer to this question is:

Domain of given function is (-∞,∞),{x|x∈R}

Range of given function is [0,∞),{y|y≥0}

Inverse of given function is √2x,-√2x

The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.

This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.

When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.

Interval Notation:(-∞,∞)

Set-Builder Notation:{x|x∈R}

The set of all valid y values constitutes the range.Graph may be used to find the values.

Interval Notation:[0,∞)

Set-Builder Notation:{y|y≥0}

For calculation of inverse:

∴Domain of given function is (-∞,∞),{x|x∈R}

Range of given function is [0,∞),{y|y≥0}

Inverse of given function is √2x,-√2x

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Answer:

1/2

Step-by-step explanation:

1. LCD = 10

2. [tex]-\frac{1}{5} * \frac{2}{2} + \frac{7}{10}[/tex]

3.[tex]-\frac{2}{10} + \frac{7}{10}[/tex]

4. [tex]-\frac{2+7}{10}[/tex]

5. 5/10

6. Simplify : 1/2

Hope this helps!
--Blu

Answer:

A city hospital tracked how many patients visited its ER over 9 days.

Using the data below, write out the five number summary and make a box and whisker plot.

4, 16, 24, 21, 7, 22, 8, 9, 14

Minimum: ________4______ Maximum: ______24________

Q1 is 8.5

: _______14___ Q2

: ______23____ Q3

: __________

Step-by-step explanation:

Answer:

I think its 93

From unitary method calculations, we have found that the large jar is the best value for money because a penny buys more honey.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We need to determine which has the best value for money using the quantity a pound can purchase.  

So, first for the large jar.

£4.10 will be purchase 540g of honey then,

£1.00 will be purchase xg

Then cross multiplying for x will be;

x = 1.00 (540g )/4.10

x = 131.7g

Hence for the large jar a penny will buy 131.7g of honey.

Now second for the small jar

£2.81 will be purchase 360g of honey then,

£1.00 will purchase xg

Now cross multiplying

x = 1.00 (360g )/ 2.81

x = 128.1g  

Hence for the small jar a penny will buy 128.1g of honey.

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The area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.

The area of a rectangle is the product of the length of its base and its height.

Area of rectangle = (base)(height)

Given the parameters:

Length of the base of the rectangle = 5 ft

[Note: 1 ft = 12 inches]

Convert 5 feet to inches

5 feet = (5)(12) = 60 inches

Height of the rectangle = 2 inches

Substitute

Area of the rectangle = (60)(2)

Area of the rectangle = 120 square inches

In conclusion, the area of the rectangle with a base of 5ft and a height of 2 inches is: 120 square inches.

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Answer:

64

Step-by-step explanation:

first compute the bracket 2 cubed which is 8

then square the contents of the bracket which results in 64

Answer:

36

Step-by-step explanation:

Fine I wont

Answer:

x=36

Step-by-step explanation:

20+2x=x+56

-20         -20

2x=x+36

-x  -x

x=36

20+2(36)=(36)+56

20+72=36+56

92=92

Hope this helps.

Answer:

angle v

please take a look at the gif

Answer:

v

Step-by-step explanation:

The size of each plot is 3630 square feet to plant six vegetables.

Given, Susan is using 0.5 acres of land.

we know that 1 acre = 43,560 square feet

0.5 acre = 1/2 acre = 1/2 × 43,560

= 21780 square feet.

we need to divide the land into 6 equal sized plots.

divide 21780 into six equal parts.

= 21780/6

= 3630 square feet

the land is being divided into 3630 square feet to plant 6 equal sized plots.

Hence susan plants six vegetables in 3630 square feet each.

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The amount in a continuously compounded account for the given conditions is $1819.76 .

It is given that principal is 950 , annual interest rate is  6.5% , time is 10 years

Putting [tex]P=\$950 , \ r= 6.5\% , \ t=10 \ years[/tex] in equation (1) , we get

  [tex]A=950\times 2.71^{0.065 \times 10}\\A=950\times 2.71^{0..65}\\\A=950\times1.9155\\A =$1819.76[/tex]

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Answer:

65,209

Step-by-step explanation:

I got it write

Answer:

65209

the answer is 65209

The inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

The given parameters are:

The inequality is calculated as

Reward point + Visit * Number of visits >= Points needed

So, we have

50 + 14.5x >= 195

Solve the inequality

14.5 >= 145

Divide by 14.5

x >= 10

Hence, the inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

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The inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

How to write and solve an inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket

The given parameters are:

Reward point = 50

Visit = 14.5 points per visit

Points needed = At least 195

The inequality is calculated as

Reward point + Visit * Number of visits >= Points needed

So, we have

50 + 14.5x >= 195

Solve the inequality

14.5 >= 145

Divide by 14.5

x >= 10

Hence, the inequality which can be used to determine x, the number of visits Shaniece can make to earn her first free movie ticket is 50 + 14.5x >= 195 and the solution is x >= 10

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Answer:

4|−12| = 48 dollars.

Step-by-step explanation:

The question asks for the total decrease after 4 weeks. Since there is no such thing as negative weeks, A and C are disqualified. Since D is simply wrong math (-4x12=-48), it is also wrong.

The table in question shows a proportional relationship between x and y, this shows that there is an independent and a dependent variable and their value compliments each other

This is further explained below.

Generally, The table in question demonstrates that there is a proportionate connection between x and y.

This indicates that there is both an independent and a dependent variable and that the values of both variables complement one another.

In conclusion, Relationships between two variables that are proportional occur when their ratios are equal.

Another way to consider them is that in a proportionate connection, one variable is consistently equal to the other's constant value. The "constant of proportionality" is the name of this constant.

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The five-number summary for the data 2, 2, 4, 4, 5, 5, 6, 7, 9, 15 is 2, 4, 5, 7, 15

The given data is 2, 2, 4, 4, 5, 5, 6, 7, 9, 15

The first step is to arrange the data in ascending order.

The given data is already in ascending order.

Lowest value = 2

Q1 = 4 (Median of first part i.e., 2, 2, 4, 4, 5)

Q2 = 5 (Median of full data i.e., 2, 2, 4, 4, 5, 5, 6, 7, 9, 15)

Q3 = 7 (Median of second part  i.e., 5, 6, 7, 9, 15)

Highest value = 15

So, the five number summary of the data is 2, 4, 5, 7, 15

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There are 75% of red cars and blue cars if you add them together.

Hope this helps, please give me brainliest if I'm correct. ;)

Answer:(m+2)(m+2)

Step-by-step explanation:

The difference of two squares takes the form

[tex](x^{2} -y^{2} ) =(x-y)(x+y)[/tex]

[tex](x^{2} +y^{2} ) =(x+y)(x+y)[/tex]

[tex](m^{2} -4)=(m^{2} -2^{2} )=(m-2)(m+2)\\\\(m^{2} +4)=(m^{2} +2^{2} )=(m+2)(m+2)[/tex]

I hope you understand!

Answer: A. 3x+y=-6    y=-3x+6

Step-by-step explanation:

The frequency of the red light is 4.6 × 10⁵ Hz

From the question, we are to determine the frequency of the red light with the given wavelength

From the given information,

Wavelength = 650 nm

c = 3.0 × 10⁸ m/s

From the formula,

c = fλ

∴ f = c/λ

Where c is the speed of light

f is the frequency

λ is the wavelength

Thus,

f = 3.0 × 10⁸/650

f = 4.6 × 10⁵ Hz

Hence, the frequency of the red light is 4.6 × 10⁵ Hz

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According to the question, the logarithmic function can be simplified with the help of the concept of indices as well as logarithmic laws.

Expression = [tex]log_{3} \sqrt[n]{9x}[/tex]

Using logarithmic laws, it can be written as:

Expression = [tex]log_{3} \sqrt[n]{9x}= log_{3} 3\sqrt[n]{x}=log_{3}3 +log_{3}x^{1/2}[/tex]

                       [tex]1+\frac{1}{2}log_{3}x[/tex]

Therefore, the final answer of the given logarithmic function is:[tex]1+\frac{1}{2}log_{3}x[/tex]

What is logarithmic function?

In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.

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Answer:

504 ways fr

Step-by-step explanation:

The proportionality constant for the above equation y = 2.35x is 2.35.

An equation can be defined in several ways. Algebraically speaking, an equation is a statement that shows the equivalence of two mathematical expressions.

A linear equation could have more than one variable. If a variable's maximum power constantly equals one, an equation is considered to be linear.

Let us x ∝ y.

Following that, x = ky, where k is a constant or proportional.

When two variables that were in proportion are split, it will result in a constant proportional because k = x/y.

The constant of proportionality for the above equation y = 2.35x will be y/x = 2.35.

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