A person's grade in school is generally identified by a number. give an example of a situation in which grade level is treated as categorical.

Equation of line p:

[tex]{\sf{2x - 3y = 4}}[/tex]

[tex]{\sf{y = \frac{2x}{3} - \frac{4}{3}}}[/tex]

Slope of line p (m):

[tex]{\sf{\frac{2}{3}}} [/tex]

Since, l is perpendicular to line p, the product of slopes of line l & p should be -1. We assume slope of line l be m2

Hence,

[tex]{\sf{m \times m2 = - 1}}[/tex]

[tex]{\sf{ \frac{2}{3} \times m2 = - 1}}[/tex]

[tex]{\sf{m2 = \frac{ - 3}{2}}}[/tex]

Since, line l passes through points (6, 0).

We apply,

[tex]{\sf{(y - y1) = m2(x - x1)}}[/tex]

[tex]{\sf{y - 0 = \frac{ - 3}{2}(x - 6)}} [/tex]

[tex]{\sf{2y - 0 = - 3x + 18}}[/tex]

[tex]{\sf{3x + 2y - 18 = 0}}[/tex]

The equation of line l:

[tex]{\sf{\red{\boxed{\sf{3x+2y-18=0}}}}}[/tex]

[tex]\frac{Y}{6} - 3 = -11[/tex]

[tex]\frac{Y}{6} - \frac{18}{6} = -\frac{66}{6}[/tex]

[tex]Y - 18 = -66[/tex]

[tex]Y = -66 + 18 = -48[/tex]

Answer: $466.1

Step-by-step explanation:

100*(1.08)^20=

100*4.661=$466.1

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

option b is the correct answer

Answer:

B

Step-by-step explanation:

(48x-50y)-(35x-5y)

48x-50y-35x+5y

13x-45y

Answer:

16 + 16 + 27 x 3 = 113 m

Step-by-step explanation:

perimeter is the outer length of all the sides of the figure so add two sides of triangle and three sides of the square as one of the side is inside the figure.

Answer:

Step-by-step explanation:

perimeter = 16 + 16 + 27+27+27 =113

ANSWER=113

Answer:

x = 3     y = -1

Step-by-step explanation:

x - 5y = 8

x = 5y + 8

replace x with 5y + 8 in the other equation

4(5y + 8) + 5y = 7

20y + 32 + 5y = 7

25y = 7 - 32

25y = -25

y = -25/25

y = -1

x = 5(-1) + 8

x = -5 + 8

x = 3

The value of the expression according to the order of operations is -11. Thus option D is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.

From the given information:

The expression are :

(-2)-3-6

Now solve it with the order then

(-2)-3-6 = (-2)-3-6

(-2)-3-6 = -2-3-6

Now add the first two terms

then

(-2)-3-6 = -5-6

Now, Add next two terms

Then

(-2)-3-6 = -11.

The value becomes -11.

So, The value of the expression according to the order of operations is -11. Thus option D is correct.

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Let

S = 1 + 2 + 3 + … + (n - 2) + (n - 1) + n

Reversing the order of terms, we have

S = n + (n - 1) + (n - 2) + … + 3 + 2 + 1

and we observe that terms in the same position on the right side add up to n + 1.

2S = (1 + n) + (2 + (n - 1)) + (3 + (n - 2)) + … + (n + 1)

There are n terms in the sum, so each the right side is simply n copies of n + 1, and

2S = n (n + 1)

S = n (n + 1)/2

Now,

17 + 18 + 19 + … + 41 + 42 + 43

= (1 + 2 + 3 + … + 41 + 42 + 43) - (1 + 2 + 3 + … + 14 + 15 + 16)

= (S with 43 terms) - (S with 16 terms)

= 43 (43 + 1)/2 - 16 (16 + 1)/2

= 810

A bird flies from a nest that is 822 3/10 feet above sea level to the bottom of a canyon that is 56 1/10 feet below it.

The canyon is 737 feet higher than the bird's nest, by a difference of 3 feet.

based on the facts provided, we know that;

The depth below sea level is 52 3/ 5 feet, hence the value would be negative.

The height above sea level is 789 3/ 10, which requires a positive number.

Let's convert the improper fractions from the mixed fractions;

= - 263/ 5 = - 52. 6 feet

789 3/ 10 = 7893/ 10 = 789. 3 ft

the canyon's and the bird's nest's contrasting elevations;

= -52. 6 + 789. 9

Equals 737. 3 feet

Consequently, there is a 737. 3 foot difference in height between the canyon and the bird's nest.

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1. The balloon's average rate of descent is 19 meters per second.

2. The average rate of change of price of one share is $7.896.

3. 0.5 and 0.4286

1. The balloon descended 95 meters in 5 seconds. It should be noted that the average rate of descent will be:

= 95 meters / 5 seconds

= 19 meters per seconds.

2. Price of shares = $39.48

Number of days = 5 days

The average rate of change of price of one share will be:

= 39.48 / 5

= $7.896

3. The decimal value of 1/2 is 0.5.

Also, the decimal of 3/7 will be 0.4286.

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Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is  -79.

The nth term of a particular arithmetic sequence can be found by,  an = a + (n – 1)d. So in order to find the nth term, substitute the given values [tex]a_{1}[/tex] and d  into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.

Given,

 [tex]a_{1}[/tex]= x-1x-1

 [tex]a_{2}[/tex]= 7x-77x−7

 [tex]a_{3}[/tex]= 13x-13

 n=  14

We have to find the common difference d from differences in adjacent terms [tex]a_{1}[/tex],[tex]a_{2}[/tex],[tex]a_{3}[/tex] . That is,

[tex]a_{2}-a_{1} =a_{3} -a_{2}[/tex]

[tex]7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)[/tex]

[tex]7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0[/tex]

Put x=0 in x-1x-1, 7x-77x-7, 13x-13

Therefore,

[tex]a_{1}[/tex] = -1

[tex]a_{2}[/tex] = -7

[tex]a_{3}[/tex] = -13

Then,  d will be [tex]-7-(-1)[/tex] or [tex]-13-(-7)[/tex]

So, d= -6

Put  [tex]a_{1}[/tex], d, and n in the equation [tex]a_{n} =a+(n-1)d[/tex]  to find the 14th term.

Therefore,

[tex]a_{14}=-1+(14-1)-6\\ =-1-78\\=-79[/tex]

The 14th term of the given arithmetic sequence is -79

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The next consecutive binary value of 1011 = 1100

Binary numbers only consist of two digits: 0 and 1. So there are some specific rules for addition in binary. They are:

Here 1011 is a binary number and to find the its next consecutive binary value, we have to add 1 to 1011.

i.e., 1 0 1 1 +

              1

------------------

    1 1 0 0

The 0 in the one's place is got by adding 1 + 1 = 10 and 1 is supposed to be a carry to the ten's place. The 0 in the ten's place is got from adding this carry 1 and 1, which again gives 10 and 1 is carry to next place. Now 0 + 1 = 1 and finally we get, 1011 + 1 = 1100.

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Answer: 4

Step-by-step explanation:

f=factor

24=6*f

24/6=f

f=4

Answer:

4 is paired with 6 to get 24

Step-by-step explanation:

Here are some examples I got from my math teacher:

So How do you find the factor pairs?

Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.

The expression is simplified to n = 3/ 25

Algebraic expressions are expressions made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

They also consist of variables, terms, factors, constants and coefficients.

Given the expression;

[tex]5( n- \frac{1}{10} ) = \frac{1}{2}[/tex]

expand the bracket

[tex]5 ( \frac{10n - 1}{10} ) = \frac{1}{10}[/tex]

[tex]\frac{50n - 5}{10} = \frac{1}{10}[/tex]

cross multiply

10( 50n - 5) = 10

expand the bracket

500n - 50 = 10

collect like terms

500n = 60

Make 'n' the subject

n = 60/ 500

n = 6/ 50

n = 3/ 25

Thus, the expression is simplified to n = 3/ 25

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Answer:

30 meters.

Step-by-step explanation:

Meters are larger then yards.

Answer: -1

Step-by-step explanation:

      We will use the Order of Operations to solve;

Given:

-4 + (3)² ÷ (5 + 4) • 3

Addition in parentheses:

-4 + 9 ÷ (9) • 3

Raise to the power of 2:

-4 + 9 ÷ (5 + 4) • 3

Division:

-4 + 1 • 3

Multiplication:

-4 + 3

Addition:

-1

The answer is 12 cubic feet

Answer:

fsfdsesdfsesd 'jp

Step-by-step explanation:

efsdsfefsggsesds

Answer: 13.6 or 9.2

Step-by-step explanation:

Answer:

x=2/7

Step-by-step explanation:

The most important thing to note is that angle A and angle B are vertical angles. Vertical angles are always equal. So, you can set 4x+2=11x and solve.

To get x by itself, subtract 4x from both sides to get 2=7x. Then divide 7 from both sides which gets x equal to 2/7.

The general term of the function is y = 4000 + 100x

The given parameters are

Guaranteed = $4000

Monthly raise = $100

Let the number of months be x, and the total earning be y

So, we have:

y = Guaranteed + Monthly raise * x

This gives

y = 4000 + 100 * x

Evaluate

y = 4000 + 100x

Hence, the general term of the function is y = 4000 + 100x

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Answer:

3*x+4*7p

3x+28p ok hard

It is found that Linear Equation: P = 0.008T + 0.13 and Price of stamp in 2015 = $0.45

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

From 1975 to 2005, 30 years, the price increased from 0.13 to 0.37.

This means the rate of change (slope) = 0.24/30 = 0.008

This means Price changed (increased) by $0.008 per year.

Slope = 0.008

The y-intercept (P) is at the starting point which is at T = 1975; the price was 0.13. Hence y-intercept is 0.13

The equation of a line is given as;

P = mT + b

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

Now, we can write the linear model equation as;

P = 0.008T + 0.13

Then to find the price of stamp in 2015, we see that this is 40 years later after 1975. So we plug in 40 into T in the equation found above;

P = 0.008(40) + 0.13

P = $0.45

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