NEED HELP PLEASE!! INEQUALITY!!

The simplified form of the expression is -106

From the question, we are to simplify the given expression

The given expression is

4⁰ + 9 x 2 – 5³

Simplifying

4⁰ + 9 x 2 – 5³

First, evaluate the exponents

5³ = 125

4⁰ = 1

Thus, the expression becomes

1 + 9 x 2 – 125

Simplifying further

1 + 18 - 125

= 19 - 125

= -106

Hence, the simplified form of the expression is -106

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Answer:

X = 102/251

Step-by-step explanation:

251x = 102

/             /

251     251

X= 102/251

The percent of the population sleeps more than the recommended number of hours will be 30%.

From the information, it should be noted that the difference between the percent of adults who slept more than the recommended amount of time and the percent who slept less than the recommended amount of time is 3%.

It should be noted that this was 25% of the population.

Therefore, the percent of the population sleeps more than the recommended number of hours will be:

= 27% + 3%

= 30%

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The value of k is 6.

Given we have length as 3k and the width as 3 of the first rectangle.

length = k₊3 and width = 6 of the second recatngle

Two rectangles has the same exact area.

area = length × breadth

3k × 3 = (k₊3)6

9k = 6k ₊ 18

3k = 18

k = 18/3

k = 6

hence we get the value of k as 6.

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Answer:

Step-by-step explanation:

You can't simplify 5/12 any more. That is the simplest form

Answer:

5/12 is the simplest form already

Answer:

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[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6425\\ P=\textit{initial amount}\dotfill &3500\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &8\\ \end{cases}[/tex]

[tex]6425=3500(1 + \frac{r}{100})^{8} \implies \cfrac{6425}{3500}=\left( \cfrac{100+r}{100} \right)^8\implies \cfrac{257}{140}=\left( \cfrac{100+r}{100} \right)^8 \\\\\\ \sqrt[8]{\cfrac{257}{140}}=\cfrac{100+r}{100}\implies 100\sqrt[8]{\cfrac{257}{140}}=100+r \\\\\\ 100\sqrt[8]{\cfrac{257}{140}}-100=r\implies {\LARGE \begin{array}{llll} \stackrel{\%}{7.89}\approx r \end{array}}[/tex]

The interval of I₁ or I₂ or I₄ is  (2.5 ,10].

The interval of I₁ and I₂ is  [3 , 5.5] .

The interval of I₁ and I₃ is  [5.5]

The interval of I₁ and I₄ is (5.6 , 7]

(a) because the all 3 intervals square measure connected by or which suggests they're going to all embrace the quantity lying from interval one to three and is given by (2.5 ,10].

(b) because the interval square measure connected by and which suggests the common numbers lying in interval one and a couple of and is given by [3 , 5.5] .

(c) because the interval square measure connected by and which suggests the common numbers lying in interval one and three and is given by [5.5]

(d)As the interval square measure connected by and which suggests the common numbers lying in interval one and four and is given by (5.6 , 7] .

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The complete question is given below :

Given the intervals I₁ = (2.5, 5.5], I₂ =[3, 6], I₃=[5.5, 7] and I₄ = (5.5, 10]. Find

(a) I₁ or I₂ or I₄

(b) I₁ and I₂

(c) I₁ and I₃

(d) I₁ and I₄

Answer:Answer One: 3 miles. Answer Two:  105.

Step-by-step explanation:

Answer:12 boys

Step-by-step explanation:100-60=40 40% of 30 is 12

Answer:

x = 3/16

Step-by-step explanation:

Answer: x = 3/4 or X = - 1/8

Step-by-step explanation:

If the two are exactly 50 miles apart, it will hit in

T=0.25hours

This is further explained below.

Generally, the equation for Time is  mathematically given as

T=v/d

Therefore

T=(12+0.5)/50

T=0.25hours

In conclusion, If the two are exactly 50 miles apart, it will hit in

T=0.25hours

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After simplifying logarithm equation is : [tex]log_{10} \frac{(a-5)^\frac{1}{2} }{a^\frac{1}{2}-5 } \\[/tex]

In, mathematics a logarithmic equation is inverse of exponential equation. That means, we can easily convert the logarithmic equation into exponential equation and vice versa. The basic form of the logarithm function can be written as  .

   [tex]log_ax=N[/tex]

where, a is the base of function or equation

           x define expression

Mathematically, if  [tex]a^N=x[/tex]  is an exponential function then, this can be converted to logarithmic function as  [tex]log_ax=N[/tex].

There are many formulas that are given to us for solving several simple and complex problems based on logarithmic functions and logarithmic equations.

Some important formulas of logarithms are :

The given expression can be written as,

[tex]log_{10}(a^2-10a+25) + \frac{1}{2} log_{10}\frac{1}{(a-5)^3} - log_{10}(\sqrt{a} -5)\\\\[/tex]

apply formulas for log a + log b and log a - log b

[tex]log_{10}(a^2-10a+25) + log_{10}(\frac{1}{(a-5)^3})^\frac{1}{2} - log_{10}(\sqrt{a} -5)\\\\= > log_{10}(a^2-10a+25).(\frac{1}{(a-5)^3})^\frac{1}{2} - log_{10}(\sqrt{a} -5)\\\\= > log_{10}\frac{(a^2-10a+25). (\frac{1}{(a-5)^3})}{(\sqrt{a} -5) } \\\\= > log_{10} \frac{(a-5)^\frac{1}{2} }{a^\frac{1}{2}-5 } \\[/tex]

Thus, after solving the logarithm equation is : [tex]log_{10} \frac{(a-5)^\frac{1}{2} }{a^\frac{1}{2}-5 } \\[/tex]

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Answer: 6 CHOOSE 4 can also be denoted as 6C4.

Draw 4 out of 6 elements at a time and replace the drawn elements again after the event occurred in the statistical experiments.

In 15 possible combinations, AB and BA are not considered as different events.

AB and BA considered as a single combination in 15 events.

Step-by-step explanation:

[tex]6^{\frac{1}{2} } .12^{\frac{1}{2} }[/tex] can be simplified into 8.48.

Prime factorization is the process of breaking down a number into its prime factors. Multiplying these prime numbers gives back the original number.

Prime factorization of 6= 2 x 3

Prime factorization of 12= 3 x 2 x 2

According to the law of indices, if a term with a power is raised to a power, then the powers are multiplied together.

i.e., [tex](x^{m} )^{n} = x^{mn}[/tex]

Another law of indices says that if two terms having same base are multiplied together, then their indices are added.

i.e., [tex]a^{m} X a^{n} = a^{m+n}[/tex]

According to the given condition,

Applying the laws of indices mentioned above,

∴[tex]6^{\frac{1}{2} } .12^{\frac{1}{2} }[/tex] = [tex](2 X 3)^{\frac{1}{2} } . (3 X 2^{2}) ^{\frac{1}{2} }[/tex]

=  [tex](3^{2} X 2^{3})^{\frac{1}{2} }[/tex]

= [tex]\sqrt{72}[/tex] = 8.48.

Thus, [tex]6^{\frac{1}{2} } .12^{\frac{1}{2} }[/tex] can be simplified into 8.48.

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All the angles in the given diagram are;

∠5 = 81°

∠1 = 128°

∠2 = 52°

∠3 = 47°

∠4 = 133°

We are given different angles. Thus;

52 + ∠5 + 47 = 180

This is because sum of angles on a straight line is 180°. Thus;

99 + ∠5 = 180

∠5 = 180 - 99

∠5 = 81°

∠1 = ∠5 + 47° because of the definition of corresponding angles. Thus;

∠1 = 81° + 47°

∠1 = 128°

∠2 = 52° because they are corresponding angles.

∠3 = 47° because they are corresponding angles.

∠4 = 180 - 47° because sum of angles on a straight line is 180°.

∠4 = 133°

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Answer:

0.000027 ÷ 0.000009

= 2.7 x 10^-5 ÷ 9.0 x 10^-6

= (2.7/9) x 10^(-5 - (-6))

= .3 x 10^1

= 3

Step-by-step explanation:

Answer:

y = -4

Step-by-step explanation:

-4 = -2 + y/2

-2 = y/2

2(-2) = y

y = -4

The reasonable area for the square piece of plywood he must purchase if he only wants to make one cut in the wood would be 216 sq inches.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We have been given that the flag is to be 18 inches by 12 inches, then;

The area of the rectangle = length × Width

The area of the rectangle = 18 x 12

= 216

Since the area of flag will be equal to area for the square piece of plywood.

The area of a square of side length l is given by l squared;

A(l) = l²

216 = 14.6²

Hence, the reasonable area for the square piece of plywood he must purchase if he only wants to make one cut in the wood would be 216 sq inches.

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Answer:

(adding/subtracting 8 from 5)

smaller number is -3

larger number is 13

or it could be -4 and 14

since the question says the distance is 8

Answer:

[tex]y = -\dfrac{7}{3}x +5[/tex]

Step-by-step explanation:

The general equation of a line in slope-intercept form is

y = mx + b

where m = slope and b = y-intercept is rise over run
[tex]m = \dfrac {(y_{2} - y_{1})} {(x_{2} - x_{1})}[/tex]

where (x₁, y₁) and (x₂, y₂) are any two points on the line

[tex]m = \dfrac{-2 - 19}{3 - (-6)}\\\\[/tex]

[tex]\\\\m= \dfrac{-21}{9}[/tex]

[tex]m = -\dfrac{7}{3}[/tex]

So slope-intercept form is
[tex]y = -\dfrac{7}{3}x +b\\\\[/tex]

[tex]-2 = -\dfrac{7}{3}\cdot 3 +b\\\\\\\\-2 = -7 + b\\\\[/tex]

or 7 -2 = b

==> b = 5

[tex]y = -\dfrac{7}{3}x +5[/tex]

Value of the expression 2x at x=3 is 6.

By considering the given expression

2x=2(3)=6

A mathematical expression is created when we successfully combine numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.

Expression. Equation. A number, a variable, or a combination of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.

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The amount deducted from Joseph's account for each ticket is $8

The mathematical expression representing the situation is:15=55-5x

What is the total amount deducted from the subway pass?

On the premise that Joseph's subway pass was deducted each time he passes through the subway and that $40 was deducted in all for his number of passes, the total cost of $40 can be modeled into an equation as shown below:

amount left after the deductions=55-40

amount left after the deductions=15

15=total amount paid-(number of passes*cost per subway pass)

total amount paid=55

number of passes=5

cost per subway=x

15=55-5x

5x=55-15

5x=40

x=40/5

x=$8

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If Lourdes buys 12 packs of paper in terms of 3 packs each she has to pay 0.5 dollars more.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given Lourdes can buy 3-packs of paper for $10.50.

∴ The cost of per pack of paper is = (10.50/3) = $3.5.

In this case, if she can buy 4-packs of paper for $13.50,

The cost per paper pack is = (13.50/4) = $3.375.

To buy 12 packs in terms of 3 packs each Lourdes has to pay,

(3.5×12) dollars.

= 42 dollars.

To buy 12 packs of paper in terms of 4 packs each she has to pay,

(3.375×12) dollars.

= 40.5 dollars.

∴ She has to pay (40.5 - 40)  = 0.5 dollars more.

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Answer:

2.6

i thank

Step-by-step explanation:

Answer:  = is it maybe

if not sry

p≤49 is the inequality to represent the situation.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that a typical paper bag at a grocery store cannot hold more than 49 pounds.

Let p represent the number of pounds a typical paper bag can hold.

We have to find the inequality to represent the situation

As grocery store cannot hold more than 49 pounds which means it holds less than or equal to 49.

p≤49

Hence, p≤49 is the inequality to represent the situation.

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Answer: A binomial (of the form ax+b).

Step-by-step explanation:

2x⁴ - 4 - 7x - 38x²/x-4=ax+b , hope this is correct