Simplify each expression. 5³/₃ . 5¹/₂

Answer:

I'm pretty sure it would be B

Step-by-step explanation:

X and Y

Answer:

am pretty sure it answer b

The following relationships between linear equations are shown below:

In this problem we find four cases of linear equations whose relationship with simplified forms, that is, linear equations of the a · r + b, where a, b are constants, must be found. Each relationship can be determined by using algebra properties. Now we proceed to present the conclusion for each case:

Choice A

(6 · r + 7) + (13 + 7 · r)

(6 · r + 7 · r) + (7 + 13)

(6 + 7) · r + 20

13 · r + 20

Choice B

[13 - (3 / 2) · r] -  (1 - r)

[13 - (3 / 2) · r] + (- 1 + r)

[- (3 / 2) · r + r] + (13 - 1)

[- (3 / 2) + 1] · r + 12

(- 1 / 2) · r + 12

12 - (1 / 2) · r

Choice C

(- 8 - r) + (2 · r - 4)

(- r + 2 · r) + (- 8 - 4)

(- 1 + 2) · r - 12

r - 12

- 12 + r

Choice D

(7 · r - 3 / 2) - (2 / 3 + 6 · r)

(7 · r - 3 / 2) + (- 2 / 3 - 6 · r)

(7 · r - 6 · r) + (- 3 / 2 - 2 / 3)

r + [- (9 + 4)] / 6

r + [- 13] / 6

r - 13 / 6

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Answer:

b^2 - 4ac ==> what's inside the square root

The answer is the 2nd option

Step-by-step explanation:

b^2 - 4ac represents the number of roots in the quadratic equation. If

b^2 - 4ac>0, then there are 2 roots in the quadratic equation. If

b^2 - 4ac=0, then there is only 1 root. If b^2 - 4ac<0, then the square root of b^2 - 4ac would be invalid since the square root of a negative number has no real solution. Hence, if b^2 - 4ac<0, then there are no roots.

Answer:

The answer should be option B. b^2-4ac

Step-by-step explanation:

...

The given expression written in surd form is 15√15

From the question, we are to write the given expression in surd form

The given expression is

[tex]15^{3/2}[/tex]

To write the expression is surd form, we will apply one of the laws of indices.

From one of the laws of indices, we have that

[tex]x^{y/n} = \sqrt[n]{x^{y} }[/tex]

Then,

We can write [tex]15^{3/2}[/tex] as

[tex]15^{3/2} = \sqrt[2]{15^{3} }[/tex]

[tex]= \sqrt[]{15^{3} }[/tex]

Simplifying

[tex]\sqrt{3375}[/tex]

Further simplification

[tex]\sqrt{225 \times 15}[/tex]

= [tex]\sqrt{225} \times \sqrt{15}[/tex]

= [tex]15 \times \sqrt{15}[/tex]

= [tex]15 \sqrt{15}[/tex]

Hence, the given expression written in surd form is 15√15

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The equation to illustrate the information regarding the temperature it the temperature rose 2 degrees every hour is -3 + 2h.

It should be noted that an equation is used to show the relationship between the variables.

In this case, when janelle woke up it was -3 degrees Fahrenheit outside.as the morning progressed,the temperature rose 2 degrees every hour.

Let the number if hours be represented by h

Therefore, the equation to illustrate the information will be -3 + 2h

here h = number of hours.

Note that the complete information wasn't found and the equation was illustrated.

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Answer: 10 Cars!!!!

Step-by-step explanation:

Answer:

#1 = -1/3

2# = -6/5

3# = 2/9

4# = 2

#5 = -2/3

Step-by-step explanation:

The slope formula is (y2 - y1) / x2 - x1. With (x1, x2) and (x2, y2) be points on the line.

Just use a calculator.

First substitute in the numbers and make sure to use ( ) when plugging in negative values. For example, the first one says n=4, you can substitute n from the expression to 4. So n^2 + 3n + 8 will turn into 4^2 + 3(4) + 8 which is 16 + 12 + 8 = 36. You can do this with the other questions.

Number 10 is -213.

Answer:

∆y = 9

∆x = 6

Slope = 3/2 or 1.5

It looks like you erased it, but you had the answer correct on your paper.

Step-by-step explanation:

Answer:

the answer isssssssssssssssssss

Answer: 17.3

Step-by-step explanation:

Answer: least to greatest is -4,1,9,16

greatest to least is 16,9,1,-4

Step-by-step explanation: it's common thinking to me

Answer:13.33333333

Step-by-step explanation:All you have to do is 5 divided by 1.5 times 4. Your welcome random human being (or alien)

If the equation be y = x² + 4 then the inverse function be [tex]f^{-1} (x)=[/tex] ± [tex]\sqrt{x - 4[/tex].

An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function " f " takes x to y, then its inverse will take y to x. The inverse function is denoted by f-1 or F-1 if the function is denoted by ' f ' or ' F '.

Let the equation be y = x² + 4    

then the function be f(x) = x² + 4

y = x² + 4

⇒ x = y² + 4

simplifying the above equation, we get

x - 4 = y²

√y² = √x - 4

The value of y = ± √x - 4

Therefore, the inverse function be [tex]f^{-1} (x) =[/tex] ±√x - 4

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Step-by-step explanation:

so, pre-image is then doing the opposite :

going up 2 units and left 4 units.

up/down changes y, left/right changes x.

up = positive y direction

down = negative y direction

right = positive x direction

left = negative x direction

just as indicated by the coordinate axes.

so,

going up 2 units = adding 2 to y

going left 4 units = subtracting 4 from x

giving us as pre-image point A

(4 - 4, -5 + 2) = (0, -3)

Answer:

53 + 53x

Step-by-step explanation:

Multiply each term in the parentheses by 53 and you get 53 + 53x

I hope that helps!!

The factoring of the expression x²=-x+6 is (x-2)(x+3)

By ordering the values, we get:

x² + x - 6 = 0

To solve this exercise, we have to follow the rules of factoring:

1. Looking for the a and b number that state the following equations:

Analyzing that (a*b) is a negative number, it means that (a) and (b) have different signs, and due to the results of (a+b) is positive the higher number has to be the positive one.  

The number could be:

a = -2

b = 3

Confirming:

a + b = -2 + 3 = 1

a * b = (-2) * 3 = - 6

2. Rewriting the factored expression (x+a)(x+b) with the obtained values, we get:

(x-2)(x+3)

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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Answer:

Step-by-step explanation:

Answer = 6 oranges

.39 x 6 = $2.34

The number of oranges Boubacar buys is 6 oranges

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of oranges a grocery store sells at $ 3.12 = 8 oranges

The number of oranges a grocery store sells at $ 1.00 =
The number of oranges a grocery store sells at $ 3.12 / 3.12

The number of oranges a grocery store sells at $ 1.00 = 8 / 3.12

Now ,

The number of oranges a grocery store sells at $ 2.34 = The number of oranges bought by Boubacar

The number of oranges a grocery store sells at $ 2.34 = ( 8 / 3.12 ) x 2.34

So ,

The number of oranges bought by Boubacar = ( 8 / 3.12 ) x 2.34

                                                                           = 8 x 0.75

                                                                           = 6 oranges

Hence , the number of oranges Boubacar buys is 6 oranges

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Answer:

9.8E^-5 (or 9.8*10^-5)

Step-by-step explanation:

0.000098 converted to scientific notation is either 9.8E^-5 or 9.8*10^-5 as they are the same, just different ways of writing it. To get this, you just count the spaces away from the decimal point the number is.

ex.) 0.98 = 9.8E^-1 as it just has to move 1 decimal

980 = 9.8E^1 as it has to move 1 decimal to the positive side

and so on.

The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Two rectangles, a trapezoid, and a semicircle make form a composite figure.

The diagram of the composite figure is given below.

The area of the composite figure is the sum of the area of a semicircle, the area of a trapezoid, and the area of two similar rectangles. Then the correct option is D.

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Answer:

D

Step-by-step explanation:

Answer:

$4.00

Step-by-step explanation:

make a proportion

50/125=x/1000

1000(50/125)=x

8(50)=x

400=x

400pennies=$4.00

or solve like this

50/125= 0.4 pennies per gram (p/g)

0.4p/g

0.4p/g*1000g=400p=$4.00

The first and third picture are the same.

1. They have 13/12 ft of lumber

2. 3/7

3. 13/12

4. It took Tim 1/4 longer to run the sprint

Answer:

6/5 or 1 1/5

Step-by-step explanation:

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Inferential Statistics

Inferential Statistics is the part of statistical analysis that helps you to determine or predict further steps from the data studied according to Statistical methods. It is helpful in understanding people's perspectives or analyzing data from the samples obtained from it. It can be defined as the analytical tool used to draw conclusions about a population by analyzing random samples.

Descriptive Statistics are used to describe the data and make generalizations about the studies. It is used the define the characteristics of the data obtained.

In the given situation, the statistical analysis is done and it has been inferred from the studies that 67% of people check their cell phone even when it is not ringing or vibrating.

Hence, It is a case of Inferential Statistics.

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The value of the expression [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] after rationalizing the denominator is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

A finite collection of symbols that is well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Rationalizing the denominator is the process of shifting a root, such as a cube root or a square root, from the fraction's denominator to its numerator (numerator).

The numerator is the part of a fraction that comes before the vinculum.

The denominator of a fraction is the phrase that comes before the vinculum.

Consider the expression,

[tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

Now, let [tex]a=\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex]

[tex]a=\frac{(x^{2}y)(y^{3})}{2\sqrt[3]{5} (x^{2}y)(x^{5})}[/tex]

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} }[/tex]

To rationalize the denominator we multiply and divide the expression by ( ∛5 )².

[tex]a=\frac{y^{3}}{2\sqrt[3]{5} {~}x^{5} } \times \frac{(\sqrt[3]{5})^{2}}{(\sqrt[3]{5})^{2}}[/tex]

[tex]a=\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex]

The value of the expression when rationalized [tex]\frac{x^{2}y^{4}}{2\sqrt[3]{5} x^{7}y}[/tex] is [tex]\frac{5^{\frac{2}{3}}y^{3}}{10x^{5}}[/tex].

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Answer:  (1) Deena and Eduardo, (2) (A) or cube root of 343

Step-by-step explanation:

Number 1 : Deena and Eduardo are correct,

16 x 16 = 256

4 x 4 x 4 = 64

Number 2 : (a) the cube  root. of 343 will give Patel the correct answer,

h^3 = 343

cube root of both sides

so, h. = cube root of 343