pls help and show ur work

Answer:

I can't see the information in the table but I can tell you how to do it

Step-by-step explanation:

pick two points on the graph, then do this: (y2-y1)/(x2-x1)

this will help you to find the slope of the line

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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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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29-3f+2g

=29-3(4)+2(3)

=29-12+6

=23

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

Step-by-step explanation:

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

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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a) The mass of a grain of rice in standard form; 0.3×10⁻¹ gram.

b) The mass, in grams, of rice eaten in the USA each year: 4.6×10¹² grams.

For the given question;

a) Weight of the rice grain is  0.03 g.

Shift the point to one decimal of the right and replace it with 10⁻¹ for this.

= 0.3×10⁻¹

Thus, the number in standard form becomes 0.3×10⁻¹ grams.

b) In USA, the rice eaten per year = 4.3 million tonnes.

1 tonne = 1 million grams

And, we know, one million can be written as.

1 million = 10⁶

4.3 million tonnes = 4.6×10⁶ tonnes.

Now, if  1 tonne = 1 million grams.

Then, multiply both side by 4.6×10⁶.

4.6×10⁶ × 1 tonne = 4.6×10⁶×1 million grams.

4.6×10⁶ tonnes = 4.6×10⁶ million grams.

Again convert million as 10⁶.

= 4.6×10⁶×10⁶

= 4.6×10⁶⁺⁶

= 4.6×10¹²

Thus, in USA 4.6×10¹² grams of rice is eaten each year.

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Answer:

X = 102/251

Step-by-step explanation:

251x = 102

/             /

251     251

X= 102/251

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

Step-by-step explanation:

The equation is 25x + 8 = 183

The value of x is 7

The group of friends have $183 to spend

The cost of parking is $8

The tickets cost $25 per person

The equation can be written as follows

25x + 8 = 183

Collect the like terms

25x= 175

Divide by the coefficient of x which is 25

x= 175/25

x= 7

Hence the value of x is 7 and the equation is written as 25x + 8 = 183

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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:

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{y-1}{2}[/tex] )

Step-by-step explanation:

y = 2cosΘ + 1 ( subtract 1 from both sides )

y - 1 = 2cosΘ ( divide both sides by 2 )

[tex]\frac{y-1}{2}[/tex] = cosΘ , then

Θ = [tex]cos^{-1}[/tex] ( [tex]\frac{y-1}{2}[/tex] )

Answer:12 boys

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

[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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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:

Domain of a function means all possible inputs or all the numbers that can be put in place of x to get some output

Range of a function means all possible outputs or all the numbers that are the result of all the inputs or value of y

Intercept is the point on graph whose one coordinate is zero. There are two types of intercepts - X intercept where the y coordinate is zero and Y  intercept where the value of x coordinate is zero

the function given is g (x) =  -4x +8

The domain of the given function is all real numbers or - infinite < x< infinite

The range of the given function is all real numbers or - infinite < x< infinite

The x intercept of of the given function is where y = 0

so,  0 = -4x + 8

-8 = -4x

x = 2

The x intercept is (2,0)

Hence,  the domain, range, and x-intercept of the function g(x) = − 4x + 8 are Domain: −∞ < x < ∞; Range: −∞ < y < ∞; x-intercept (2, 0) which is first option

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Step-by-step explanation:

Took test

Answer:

E 1/3

Step-by-step explanation:

m<ACB = 30° because of supplementary angles.

Use the Law of Sines

sin C/AB = sin A/BC

sin 30°/3 = sin A/2

sin A = (2 × sin 30°)/3

sin A = (2 × 0.5)/3

sin A = 1/3

Answer: E 1/3

Answer:

y = -4

Step-by-step explanation:

-4 = -2 + y/2

-2 = y/2

2(-2) = y

y = -4

The original figure had an area of 25√3 / 2 square units option (B) is correct.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The Sierpinski triangle is a fractal image:

The original figure is an equilateral triangle.

The area remaining in a particular design after n steps can be shown using the following expression:

= 25√3/2 (3/4)ⁿ

Plug n = 0

= 25√3/2 (3/4)⁰

= 25√3/2 square units

The expression 25√3/2 represents the area of the image of the triangle(shown in the first number image)

Thus, the original figure had an area of 25√3 / 2 square units option (B) is correct.

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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:

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:

[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]

The average speed of the police is 23.96 miles per hour

The distance is 46 miles

The time is is 1 hour 55 minutes, convert the minutes

= 55/60

= 0.92 + 1

= 1.92

The average speed can be calculated as follows

= distance/time

= 46/1.92

= 23.96

Hence the average speed of the police car is 23.96 miles per hour

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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

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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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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