Find the Area of the irregular polygon

Estimate intercepts of the graph of the functions

1.  [tex]y=\frac{1}{3} x+1[/tex]

=>At x axis

x = 0

y= 0+ 1

y = 1

=>At y axis

y= 0

1/3x = -1

x= -3

The x intercepts:( -3, 0)

The y intercepts : (0,1)

2. [tex]y= x^{2} -3x-4[/tex]

=> At x axis

x=0

y= - 4

=> At y axis

y= 0

[tex]x^{2} -3x-4= 0[/tex]

(x-4)(x+1) = 0

x= 4,-1

The x intercepts: (4,0) ( -1, 0)

The y intercepts : (0,-4)

3. y= -2 |x-5|

=> At x axis

x=0

y= -2(5)

y= -10

=> At y axis

y= 0

-2|x-5|=0

Divide both sides by -2

|x - 5|= 0

x-  5 = 0

x = 5

The x intercepts: (5,0)

The y intercepts : (0,-10)

4. [tex]y= -4x^{3} -13x^{2} -10x[/tex]

=> At x axis

x= 0

y = 0

=>At y axis

y=0

[tex]0=-4x^{3} -13x^{2} -10x \\\\4x^{3} +13x^{2} +10x =0[/tex]

By factorization ,

x( 4x+5 )( x+2)= 0

x= 0, -2, -5/4

The x intercepts: (0,0) (-2,0) ,(-5/4,0)

The y intercepts: (0,0)  

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The three numbers that are chosen by Levi are 5, 9 and 10.

It should be noted that the factors of 20 are 1, 2, 4, 5, 10 and 20.

Possible sum of factors of 20 are: 3, 5, 6, 7, 9, 11, 12, 14, 15, 21, 22, and 24.

Difference between 24 and a possible sum of factors of 24 are:

(21, 19, 18, 17, 15, 13, 12, 10, 9, 3, 2 , 0.)

The square numbers less than 24 are ( 1, 4, 9, 16).

Therefore the square number is 9.

And sum of the factors of 20 is 24 -9 = 15.

Therefore, the factors of 20 are = 5 and 10

Thus the given numbers are 5, 9 and 10.

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We can load less than or equal to 285 number of 40 kg crates in the shipping container.

The inequality is like 13100 + 40x ≤ 24500

Given,

The weight of crates transported by a shipping container = 40 kg

The greatest weight that can be loaded into the container = 24500 kg

The weight of already loaded shipments in the container = 13100 kg

We have to find and solve an inequality that determines the number of 40 kg crates that can be loaded into the shipping container:

Lets take x as the number of 40 kg crates.

Therefore, weight of container = 40x

The weight should be less than or equal to the maximum weight that can be loaded into the container:

That is,

13100 + 40x ≤ 24500

Now, solve the inequality:

40x ≤ 24500 - 13100

40x ≤ 11400

x ≤ 11400/40

x ≤ 285

So,

We can load less than or equal to 285 number of 40 kg crates in the shipping container.

The inequality is like 13100 + 40x ≤ 24500

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By taking the difference between the y-intercepts, we conclude that the distance between the lines is 3 units.

A general linear equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two linear equations are parallel if and only if both lines have the same slope and different y-intercepts.

And the distance is given by the difference between the y-intercepts.

Here the lines are:

y = -3*x + 1

y = -3*x + 4

The difference between the y-intercepts gives:

4 - 1 = 3

That is the distance between the lines.

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Answer:

y=3x-4

Step-by-step explanation:

The total profit made by the company over the course of its first 24 years of operation is $10,016,640

Given,

The annual profit made by a company in first year = $111,000

The increase in profit per year = 24% = $26640

We have to find the total profit made by the company over the course of its first 24 years of operation

Lets take this as an arithmetic progression.

First term, a = 111,000

Common difference, d = 26640

nth term = 24

Sum of nth term,

Sₙ = n/2 [2a + (n - 1) d]

S₂₄ = 24/2 [2 × 111,000 + (24 -1) 26640]

S₂₄ = 12 [222,000 + 23 × 26640]

S₂₄ = 12 [222,000 + 612,720]

S₂₄ = 12 × 834,720

S₂₄ = 10,016,640

That is,

The total profit made by the company over the course of its first 24 years of operation is $10,016,640

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Hong has 16 one-dollar bills. he wants to give each of his 6 children the same number of bills. Then  Hong will give 12 bills to his 6 children and  4 bills Hong have remained

Hong has 16 one-dollar bills.

he wants to give each of his 6 children the same number of bills.

how many bills can he give each child?

how many bills will Hong have remaining?

since Hong has 16 one dollar bills and he wants 6 children the same number of bills

then he give 6 children two bills to each  

then the total number of bills he give to 6 children is 12

and he has 16 bills and 12 bills give to his children

the remaining bills left = 16 bills - 12 bills = 4 bills

Hence , Hong will give 12 bills to his 6 children and  4 bills Hong have remained

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The conditions necessary for binomial distribution is option C that is I and III only "There is a series of N trials." and "The outcomes are mutually exclusive."

In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.

If the following circumstances hold true, the binomial distribution describes the behavior of a count variable X: 1: There will always be n observations. 2: Every observation stands alone. Three: Each observation corresponds to one of two results ("success" or "failure").

Option C, which consists solely of I and III, meets the requirements for the binomial distribution. "The results are mutually exclusive" and "There is a series of N trials."

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Answer: 4 and 82 i think

The null hypothesis is that the reaction time for students in the regular population averages 200 milliseconds.

The alternate hypothesis is that the reaction time for students in not the regular population averages 200 milliseconds.

In statistical hypothesis testing, null and alternate hypotheses are utilized. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims:

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The exit mass flow rate times the exit velocity less the free stream mass flow rate times the free stream velocity equals the force (thrust).

If we take into account the factors mentioned above, we will see that if the aircraft can fly at full thrust in cruise, this fits nicely with a static sea level thrust force equivalent to one third of its weight force. The thrust required to sustain flight is approximately 1/18 of the aircraft weight. It takes classroom teaching, ground training, and flying training from a certified instructor to obtain a high-altitude endorsement. we will learn about the warning signs and symptoms of altitude sickness, when to use supplemental oxygen, how long you can use that oxygen safely, and more during ground school.

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Answer: m < -1

Step-by-step explanation:

Step 1: 6 + 5m < 1.              Step 2:  5m/5 < -5/5         m = -1

           -6.           -6                              

Answer: m < −1

Step-by-step explanation:

1. Rearange: 5m+6<1

2. 5 + 6−6 < 1−6

3. 5m < -5

4. 5m/5 < -5/5

5. Cancel terms that are in both the numerator and denominator then divide the numbers.

6. answer: m < -1

Answer: y = -90, 90

Step-by-step explanation:

     To solve this, we will isolate the variable.

 Given:

10 = |[tex]\frac{y}{9}[/tex]|

 Absolute value:

10 = [tex]\frac{y}{9}[/tex]     &     -10 = [tex]\frac{y}{9}[/tex]

 Multiply both sides of both equations by 9:

90 = y    &     -90 = y

 Answer:

y = -90, 90

m = D +3

The basics of algebra include numbers, variables, constants, equations, linear and equations. It also includes the basic arithmetic operations : addition, subtraction, multiplication, and division within the algebraic expressions. Algebra is the study of mathematical symbols and the rules for using these symbols in formulas .

The three most used laws are the Commutative, Associative, and Distributive Laws. The main rule of algebra is balancing. The equation has equals sign and both the sides should be equal.

Given, D = (m -3)

we can write,

m = D+3

if D is assumed to be 2 (integer)  then,

m = 2+3= 5 (integer)

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Answer:

corresponding angles

Step-by-step explanation:

1 and 5 are corresponding angles

they are in the same place

that is why they are corresponding

Answer:

Below in bold.

Step-by-step explanation:

f(x) = 3x³ - 4x + 6 and g(x) = x³ + 3x² + x - 3

A. (f+g)x  = 3x³ - 4x + 6 + x³ + 3x² + x - 3 = 4x³ + 3x² - 3x + 3.

B. (f-g)x = 3x³ - 4x + 6 - (x³ + 3x² + x - 3) = 2x³ - 3x² - 5x + 9.

C. (3f+2g)(x) = 9x³ - 12x + 18 + 2x³ + 6x² + 2x - 6 = 11x³ + 6x² - 10x - 12.

C. (3f-2g)(x) = 9x³ - 12x + 18 - (2x³ + 6x² + 2x - 6) = 7x³ - 6x² - 14x - 24.

Answer:

5(y - 7)

Step-by-step explanation:

common factor

5-y-35

5(y - 7)

Answer: -1 and 5

Step-by-step explanation:

The logical fallacy which Mikey has used is referred to as: A. False analogy.

A fallacy can be defined as a mistaken or false belief (assumption) that are based on illogical arguments or reasoning.

In Science, there are different types of fallacy and these include the following:

Additionally, a false analogy simply refers to a type of informal fallacy which states that since quantity A and quantity B both share the same quality X (color yellow), then, they must also share quality Y in common (burning rate).

In this context, we can reasonably infer and logically deduce that Mikey's hypothesis is a false analogy.

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Answer: hey sis! the answer is a

Step-by-step explanation: A.) false analogy

(btw this language arts not math)

Amy can make 29 meatballs from the remaining beef.

What are mathematics operations?

Amy has 4 pounds of ground beef to make meatballs and he uses 3/8 pound per meatball to make 9 meatballs

We have to subtract 3/8 from 4

= 4 - 3/8

= 29/8

There are 29/8 pounds of ground beef left

Therefore the number of 1/8 pound meatball that can be produced from 29/8 pounds of ground beef can be calculated as follows;

= 29/8 ÷ 1/8

= 29

Hence Amy can make 29 meatballs

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The factorized expression is (4/x³)(1/x² + 4).

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Answer:

y=1/2x+2

Step-by-step explanation:

y=mx+b

m = slope = rise/run

b = y-intercept

Look at the graph, and find the slope.

m= slope = rise/run = 1/2

b = y-intercept = 2

Therefore, the correct answer is option y=1/2x+2

Answer: G=32

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Kusa=10x0.75=7.5

Chaman=12x0.6=7.2

7.5>7.2

so kusa rode further than chaman.

Answer:

b

Step-by-step explanation:

Round to 1 significant figure

What is Rounding?

To estimate a certain number in a context, rounding is a process. Look at the next digit in the correct position to determine how to round a number; if it is less than 5, round down, and if it is 5 or more, round up. The term "rounding decimals" describes the accurate rounding of decimal figures.

How to round a figure

It rounds to the most important figure in the number. To round to a significant figure: look at the first non-zero digit if rounding to one significant figure. look at the digit after the first non-zero digit if rounding to two significant figures.

To understand this term lets take and example:

24982 correct to 1 significant figure

If we round up, then the answer is

30,000

but if we were to round down, the answer would be

20,000;

If we want to determine which one is correct, we have to look at the second digit of the original number, which is

4

Since the second digit is less than 5

we can round down, so the answer would have to be

20,000

Hence, 24982 round to 1 significant figure is 20,000

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it's so easy just use a calculator:

8h: $95.60

15h: $179.25

38h: $454.1

Step-by-step explanation:

the easy straight forward method is to simply sum up the 5 terms.

you know that this symbol just means "sum", right ?

and that the index variable is "running" from 1 to 5.

so, you have to sum up

3×1 + 3×2 + 3×3 + 3×4 + 3×5 = 3 + 6 + 9 + 12 + 15 = 45

now, if you want it done via a summary formula to add the first n terms of an arithmetic sequence, like in this case

a1 = 3

an = an-1 + 3 = a1×n = 3n

then

the sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ).

it simply means : first plus last term added up n/2 times.

why ?

because a1 + an = a2 + an-1 = a3 + an-2 = ...

we get n/2 times such part sums.

so, in our case, n = 5, and we get

(3 + 3×5)×5/2 = (3 + 15)×5/2 = 18×5/2 = 9×5 = 45

Answer:

∑ (i = 1 to 5) (3·i)

= 3·∑ (i = 1 to 5) (i)

= 3·(1 + 2 + 3 + 4 + 5)

= 3·15

= 45

The simplified fraction for the expression [tex]a^{-3} / b ^{-2[/tex] is 36/125.

The exponent of a number shows how many times the number is multiplied by itself.

For example, 2×2×2×2 can be written as 24, as 2 is multiplied by itself 4 times. Here, 2 is called the "base" and 4 is called the "exponent" or "power." In general, [tex]x^n[/tex] means that x is multiplied by itself for n times.

Given:

[tex]a^{-3} / b ^{-2[/tex]

Now, a= 5 and b=6

So, substituting the above values in the expression as

= [tex]5^{-3} / 6 ^{-2[/tex]

Using the law of exponents we have

[tex]a^{-m[/tex] = 1/[tex]a^m[/tex]

Thus,

= 6² / 5³

=6 x 6 / 5x 5 x 5

=36 / 125

Hence, the simplified fraction is 36/125.

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Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed, how many words did she type in her letter?

_________________________________________

She misspelled 8 words = 25% of the words she typed

25%= (8 / total words)* 100

0.25 = 8 / total words

total words = 8/0.25

total words = 32

__________________________-

The total words she typed in her letter were 32