What is the equation of the line in
slope-intercept form?
1
y = x+2
3
y =
1
3
8
y = 2x +
y = 2x
1
-
3

Jace should visit the theator 18 times for earning a free movie ticket.(inequality)

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The stages of resolving inequities are as follows:

Let x be the number of visit in the theator to get at least 1 movie ticket

so the inequation is :

50 + 14.5*x > 310

x > 17.93

Jace should visit the theator 18 times for earning a free movie ticket.

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The 2007th digit to the right of 1/7 is 2

when we convert 1/7 in decimal we get

1/7= 0.14285714285714....

Here we can notice that 6 digits are recurring.

The recurring digits are 1,4,2,8,5,7

For 2007th place, we divide 2007 by 6

2007/6=333.4

Now, this quotient tells us the place of the digit after the decimal that will be present in 2007th place i.e., if the quotient was 0 the digit at 2007th place would be 1 again, if the quotient was 1 the digit at 2007th place would be 4 and so on.

Hence the digit third from decimal is 2

Therefore, The 2007th digit to the right of 1/7 is 2

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The equation of graph in slope intercept form with inequality is

y < -2x + 6.

What is slope - intercept form of line?

The slope intercept equation can be used to determine a straight line's general equation from its slope and the location of its y-axis intersection.

Y = mx + b is the slope intercept form equation.

One formula for figuring out a line's equation is the slope-intercept formula. A line with slope m and a y-intercept of b has a slope-intercept formula of y = mx + b. Any point on the line can be found at (x, y).

From graph we can see that the graph passing through the points (3, 0) and (0, 6).

We have to find the slope intercept form of line.

First to find the slope of the line.

m = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-0}{0-3}=\frac{6}{-3} = -2[/tex]

Slope of the line is -2.

Now consider, the point -slope form of the line

[tex]y-y_1=m(x-x_1)[/tex]

Plug [tex]m = -2, (x_1, y_1) = (3, 0)[/tex]

⇒

[tex]y-0=-2(x-3)\\y=-2x+6[/tex]

Hence, the equation of graph in slope intercept form with inequality is

y < -2x + 6.

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A. Liam sets a goal to score a 720 on the GMAT test in October.

B. Liam develops an action plan to study for a month and take a practice test. After studying for a month, he takes a practice test and scores 40 points higher than he did on his first practice test.

C. Based on the average test scores of students at his target schools, Liam decides he wants to earn a 710 on the GMAT.

D. To achieve his goal, Liam will spend one hour each weeknight and three hours every Saturday and Sunday studying GMAT practice questions. He will also review progress regularly to ensure that he is on track to achieve his goal.

E. Finally, Liam will appraise his performance by comparing his scores on practice tests with his goal score of 710. If he finds that he is not making enough progress, he may adjust his study schedule or seek additional help.

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Therefore , the solution of the given problem of number line comes out to be option D is correct .

The number line, a representation of real numbers integers in visual form, is a tool for teaching mathematics. An intensity line is depicted by it. Every actual number is used to represent a point just on real number, or every precise number is used to represent a position. The separations between increments on a number line are equation. The numbers on a line can only be replied in the manner indicated by those numbers. The number's intended usage will be determined by the question it answers.

Here,

Given :

Because multiplying two negative integers together

results in a positive number,

the meaning of -16 is not -4.

as a result: -4 will turn into 16

So, option D is correct .

Therefore , the solution of the given problem of number line comes out to be option D is correct .

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The square root of minus one √(−1) is the "unit" Imaginary Number. Therefore it doesn't exist.

Now, According to the question:

What is Square Root?

The square root of a number is defined as the value, which gives the number when it is multiplied by itself. The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the square root of the number. If the given number is not a perfect square number, the square root can be found using the long division method.

What is the square of (- 1 )=?

The square root of minus one √(−1) is the "unit" Imaginary Number. Therefore it doesn't exist.

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Sue had -$40 after making her purchases.

The total cost of the jacket and shirt = Jacket Cost + Shirt Cost

Total cost = Jacket + Shirt

Total cost = $100 + (0.40 x $100)

Total cost = $100 + $40

Total cost = $140

$100 - $140 = -$40

Sue had -$40 after making her purchases.

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Answer:

770.97692cm^2

Step-by-step explanation:

A=2AB+(a+b+c)h

AB=s(s﹣a)(s﹣b)(s﹣c)

s=a+b+c 2 Solving for A

A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=15·12+20·12+13·12+1

2·﹣154+2·(15·20)2+2·(15·13)2﹣204+2·(20·13)2﹣134≈770.97692

Answer:

1008 cm²

Step-by-step explanation:

The surface area of the triangular prism is made up of:

Area of rectangle 1 = 20 × 15 = 300 cm²

Area of rectangle 2 = 20 × 13 = 260 cm²

Area of rectangle 3 = 20 × (5 + 9) = 280 cm²

Area of one triangular base = 1/2 × (5 + 9) × 12 = 84 cm²

Therefore,

SA of the triangular prism = 300 + 260 + 280 + 84 + 84 = 1008 cm²

Answer:

4

Step-by-step explanation:

this thing works (dont worry)

The amount Lindsey asks her friends to pay for each slice is $3.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of slices in the pizza = 8

The total cost of the pizza = $30.80

The cost of each slice.

= 30.80/8

= $3.85

Thus,

The cost of each slice is $3.85.

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To find the inverse of a parent function, use the following steps:

1. Switch the x and y variables.

2. Solve the equation for y.

3. Replace y with f-1(x).

4. Simplify the equation.

The inverse of a parent function is a new function that is the "reverse" of the original function. This can be found by switching the x and y variables and solving for y. Once you have switched the variables and solved for y, replace y with f-1(x). This is the notation for the inverse of a function. Simplifying the equation will give you the inverse of the original function. For example, if the function is y = 2x + 1, first switch the variables to x = 2y + 1. Then solve for y to get y = (x - 1)/2. Replace y with f-1(x) to get f-1(x) = (x - 1)/2. Simplifying this equation gives you the inverse of the original function, f-1(x) = (x - 1)/2.

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A triangle has 3 angles. The measure of the angles in triangle ABC is ∠ABC, ∠BCA and ∠BAC.

According to the angle sum property of a triangle, the sum of all three angles of a triangle is equal to 180°. That is

∠ABC + ∠BCA + ∠BAC.

In an acute triangle, all three angles are acute, meaning they are less than 90 degrees.

In a right triangle, one of the angles is always 90 degrees, which is the angle formed by the two legs of the triangle. The other two angles are acute, meaning they are less than 90 degrees.

In an obtuse triangle, one of the angles is greater than 90 degrees, which is the obtuse angle. The other two angles are acute, meaning they are less than 90 degrees.

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Answer:

  9/4

Step-by-step explanation:

You want to simplify (6x^-2)^2(0.5x)^4.

The applicable rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

We first work out the value of each set of parentheses, then form the product of the results.

  [tex](6x^{-2})^2(0.5x)^4=(6^2)(x^{-2\cdot2})(0.5^4)(x^4)=(36x^{-4})\dfrac{1}{16}x^4\\\\=\dfrac{36}{16}x^{-4+4}=\boxed{\dfrac{9}{4}}[/tex]

__

Additional comment

As you know, x^0 = 1, so the variable disappears when this is simplified.

When selecting true claims, you might opt for those that were first made in the narrative and are not adamant declarations. All things considered, the evidence strongly suggests that the 1930s were the beginning of the Great Depression.

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Answer:c

Step-by-step explanation:

Answer:

No, you cannot fold the figure in half so that one side matches the other.

Step-by-step explanation:

The figure does not have any symmetry, so it cannot be folded in half so that one side matches the other.

The solution is Option D.

The weighted dollar amount of the savings account is given by the equation A = $ 151.20

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 ,

Let the weighted dollar amount of the savings account be A

Now , the equation will be

The total amount in savings account = $ 4200

The percentage of weighted amount in savings account = 3.6 %

So , the weighted amount in savings account = percentage of weighted amount in savings account x total amount in savings account

Substituting the values in the equation , we get

The weighted amount in savings account A = ( 3.6 ) % x 4200

On simplifying the equation , we get

The weighted amount in savings account A = ( 3.6 / 100 ) x 4200

The weighted amount in savings account A = 4200 x 0.036

The weighted amount in savings account A = $ 151.20

Therefore , the value of A is $ 151.20

Hence , the amount is $ 151.20

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There are 10,000,000 (10 million) 7-digit combinations. A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations

A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations:

n!/(r!(n-r)!)

where n=10 (the number of possibilities for each digit) and r=7 (the number of digits).

10!/(7!(10-7)!) = 10!/7!3! = 10!/(7!3!) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5 x 3 x 2 x 1 x 3 x 2 x 1) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5 x 3 x 2 x 1) = 10 x 9 x 8 x 7 x 6 x 5 x 4/(7 x 6 x 5) = 10 x 9 x 8 x 7 x 6 x 5/7 = 10 x 9 x 8 x 7 x 6 = 10,000,000 (10 million)

Therefore, there are 10 million 7-digit combinations.A 7-digit combination is a combination of 7 different numbers (from 0-9). To calculate the total number of combinations, we can use the formula for combinations

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The resulting religion Islam belongs to the class monotheism.

Monotheism is the class of religion where they believe in only one God.

Monotheism is the belief that there is one and only supreme power that is referred to as the universal God.

Given that according to Muslim tradition, the prophet Muhammad received his revelations from the only true God, whose name is Allah.

So there is only one God Allah that Islam believes in.

So Islam is a monotheistic religion.

Hence Islam is a monotheism.

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The solution to the given linear inequality is given in graph.

What is linear inequality?

In mathematics, inequality denotes a mathematical expression in which neither side is equal. In Math, an inequality occurs when a connection produces a non-equal comparison between two expressions or two integers. The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.

The symbols "< and '>' represent strict inequalities, whereas  ‘≤’ and ‘≥’ represent slack inequalities. A linear inequality appears to be a linear equation, however there is a difference in the formula.

Graph for |2x + 2| ≤ 6 is in the image.

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Answer:

It is C

Step-by-step explanation:

Refer to the photo attached.

Point A on the number line represents the number fraction -1. Option A is correct.

A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.

Here,
A number line goes from negative 1 to positive 1. There are 3 equal spaces between each number. Point A is 1 mark to the left of 0.
So on the number line, the numbers on the left of 0 follow the negative sequence, and the number to the right of the zero follows the positive sequence. Following the given condition, point A on the number line represents the number fraction -1.

Thus, Point A on the number line represents the number fraction -1.

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The number of trays of dog treats Jayden made is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of ounces in the mixture.

= 1 quart yogurt + 10 ounces of peanut butter + 6 ounces of honey

[ 1 quart = 32 ounces ]

= 32 + 10 + 6

= 48 ounces

Now,

Number of ounces in each tray = 16 ounces

The number of tray.

= 48/16

= 3

Thus,

The number of trays for dog treats is 3.

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The simplified form of each of the given expressions as required is as follows;

a. -2 + 5 = 3

b. (−4) • (6) = -24

c. 4 − (−3) = 4 + 3 = 7

d. 10 + (−2) − 7 = 10 - 2 - 7 = 1.

e. −5 − 3(2 − 6) = -5 -3(-4) = -5 + 12 = 7.

f. (3 − 3)(102 − 11) = (0) (91) = 0.

It follows from the task content that the given arithmetic operations are to be simplified.

The PEMDAS guidelines which prescribe the order of mathematical operations is used for the computation.

where;

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

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The median of the data set when Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter will be C. 7

When everything is written out, the median is essentially the center number. So, using your line plot, you should write each number down as many times as a dot appears above it.

This would be 6, 6, 7, 7, 8, 9, for this issue. The fourth number would be the center since there are seven total. Out of these numbers, the 7 comes fourth in ascending order, giving you your answer.

Therefore, it should be noted that based on the information, the correct option is C.

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Complete question

Ms. Aniston asked seven students in her class to collect pet food cans for a local animal shelter. The dot plot shows the number of food cans collected by each student. Each dot represents one student.

What is the median of the data set?

A. 6

B. 9

C. 7

D. 8

Answer:

432 cubic inches

Step-by-step explanation:

The volume of the rectangular prism is 6 * 12 * 3 * 2 = 432 cubic inches.

The value of the car after 3 years is £ 9318.6.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is.

First, the value of car after one year

= 18000 x (1- 30%)

= 18000 x 70%

= 18000 x 0.7

= 12600

now, the value of car after two year

= 12600 x (1- 14%)

= 12600x 86%

= 12600x 0.86

= 10836

and, the value of car after three year

= 10836 x (1-14%)

= 10836 x 86%

= £ 9318.6

Hence, the value is £ 9318.6

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The c d f is (  1     : x≥4), b) mean is 2, c) the variance of x is 4/3 d) the value of f is 0.35 e) value of p is 0.375 and value of k is 1.4

a) F(x)=P(x ≤ x)=(  1     : x≥4

b) E(x)=∫^ (x)dx=2

c) ∫^4^0 x^ 2f(x)dx=4/3

d) f(x)=x/4,0<x<4)=0.35

e)P(1/2<X<2)=0.375

f)(p(x ≤ k)=F(K)=1.4

The pdf of x is
F(X)=1/4: 0<X<4
0 : otherwise


A) The c d f of x is
F(x)=P(x ≤ x)

=∫^ x f(t) αt
= ∫^ x1/4 αt
=1/4(t)^ x
=x/4,0<x<4
F(x)=(0: x≤0)        
      ( x/4:0<x<4)
     (  1     : x≥4)


B) We need, mean(x)
=E(x)=∫^ (x)dx

=1/4  ∫^4^ x dx
=1/4 (x^ 2/2)^ 4
=16/8
=2    

C) Here, E(X^2)          
=∫^4^0 x^ 2f(x)dx

=1/2∫^4^0 x^2 dx        
=1/4(x^ 3/3)^ 4^0
=16/3
Var(x)+E(X^2)-E^2(X)
=16/3-(2)^2
=4/3
       
d) F(1.4)=1.4/4   ∵   f(x)=(x/4,0<x<4)

=0.35


e)P(1/2<X<2)
=F(2)-F(1/2)

=2/4-1/2/4
=1/2-1/8=3/8              
=0.375

F) let R=35th percentile

so, we must have,
p(x ≤ K)=0.35           ∵  (p(x ≤ k)=F(K)
=K/4=0.35                    =k/4
k=1.4

Complete Question is given below

1. let x be a random variable with pdf . a) find the c d f f(x). b) find the mean of x. c) find the variance of x. d) find f (1.4). round to 3 decimal places. e) find P(1/2<X<2). f) find THE 35TH PERCENTILE.

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The second graph with numbers till 50 is not the accurate representation of the quiz grades.. The solution is obtained by using the concept of frequency plot.

What is frequency plot?

A frequency plot is a graphic data analysis approach for condensing information about a variable's distribution. The response variable is split into intervals of the same size (or bins). For every bin, the response variable's frequency is determined.

The vertical axis represents frequencies or relative frequencies, and the horizontal axis represents the response variable in the frequency plot (i.e., the mid-point of each interval).

The first graph accurately represents the quiz grades as the graph ranges from 0 to 100 and the markings on it are made from 10 to 70.

The second graph is not the accurate representation of the quiz grades because the graph is ranging from 0 to 50 but the quiz grades are ranging from 10 to 70.

The third graph accurately represents the quiz grades as the graph ranges from 0 to 90 and the markings on it are made appropriately.

The fourth graph also accurately represents the quiz grades as the graph ranges from 0 to 80 and the markings on it are made accurately.

Hence, the second graph with numbers till 50 is not the accurate representation of the quiz grades.

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