Find the numerical value if x=4 and y=5

The equation of a line describing Carla's motion during the race is                        y = 3x - 5.        

The slope is defined as the rate of change of the y-axis with respect to the x-axis.

As we are representing y as distance in meters and x as time in seconds we can form two co-ordinates for the distance Carla covered, They are

(20,55) and (30,85).

Now to form an equation of a line we have to first determine the slope(m) and y-intercept (b).

We know slope(m) = (y₂-y₁)/(x₂-x₁).

∴ Slope(m) = (85 - 55)/(30 -20).

= 30/10.

= 3.

Now, The equation of this line can be written as slope intercept form as        y = mx + b.

55 = 3(20) + b.

b = -5.

So, y = 3x - 5 is our required equation of this situation represented by a line.

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The equation is 50 = (5 + w)w and the width is 5 and the length is 10

The given parameters are

Area = 50

Length = 5 + Width

This means that

l = 5 + w

The area is calculated as

A = lw

Substitute l = 5 + w in A = lw

A = (5 + w)w

Substitute A = 50 in A = (5 + w)w

50 = (5 + w)w

Hence, the equation is 50 = (5 + w)w

We have

50 = (5 + w)w

Express 50 as 10 * 5

So, we have

10 * 5 = (5 + w)w

This means that

5 + w = 10

w = 5

Solve 5 + w = 10

w = 5

Substitute w = 5 in l = 5 + w

l = 5 + 5

l = 10

Hence, the width is 5 and the length is 10

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The number that is divisible by 11 is 154451

The divisor is given as

Divisor = 11

Using the test of divisibility rule, numbers are divisible by 11 are palindrome numbers

This means that the numbers remain the same when reversed

From the list of options, 154451 is a palindrome

Hence, the number that is divisible by 11 is 154451

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Step-by-step explanation:

If you check by inspection there are two sides which are equal. The triangle is considered an Isosceles Triangles where two sides amd angles are equal.

The two base angles are equal=x°

38°+x°+x°=180°

2(x°)=180°-38°

2x°=142°

x=71°

1. The equation that models the sentence is 4n + 12 = 0.

2. The numbers from least to greatest are -3, -1, 1, 3.

Integers are whole numbers. An integer a number without a fraction or decimal component. Integers can either be positive, negative or zero. An odd number is a number that cannot be divided perfectly into two halves.  An example of odd numbers are -11, 21.

Consecutive odd numbers are whole numbers that follow each other on the number line. Consecutive odd numbers increase by 2. Examples of consecutive odd numbers are 7, 9, 11.  

If 4 consecutive odd integers are: n, (n +2) (n + 4) , (n + 6)

n +  n + 2 n + 4 + n + 6 = 0

4n + 12 = 0

4n = -12

n = -12 / 4

n = -3

The numbers are -3, -1, 1 , 3

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The area of the rectangle is equal to b² · (b + 1) · (b + 0.628) · (b + 6.372).

The area of the rectangle is equal to the product of the height and the width, each of them represented by polynomials. In this question we must apply algebraic handling to simplify the product of the two polynomials:

A = h · w           (1)

Where:

If we know that h = b³ + b² and w = b² + 7 · b + 4, then the area of the rectangle is:

A = (b³ + b²) · (b² + 7 · b + 4)

A = b² · (b + 1) · (b + 0.628) · (b + 6.372)

The area of the rectangle is equal to b² · (b + 1) · (b + 0.628) · (b + 6.372).

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The length of the equilateral triangle side is 13 inches while that of the square is 6 inches.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the side of the equilateral triangle and y represent the side of the square. Hence:

For the perimeter:

3x = 4y + 15    

3x - 4y = 15   (1)

Also:

x = y + 7

x - y = 7     (2)

From the equations:

y = 6, x = 13

The length of the equilateral triangle side is 13 inches while that of the square is 6 inches.

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The least whole number that can be rounded to 230,000 is 225,000.

The ten thousand number (10,000) is usually the fifth digit in a number when counting from the right to the left. For example, in 132,456, 3 is the ten thousand number.

To round off to the nearest ten thousand, if the thousand digit is equal to or greater than 5 (i.e. 5,6, 7, 8, 9), 1 is added to the ten thousand digit and other numbers less than the ten thousand digit becomes 0. For example, when 234,612 is rounded to the nearest ten thousand, the number becomes 235,000.

If the thousand digit is less than 5 (i.e. 0, 1, 2, 3, 4), there is no change in the ten thousand digit other numbers less than the ten thousand digit becomes 0. For example, when 234,412 is rounded to the nearest ten thousand, the number becomes 234,000.

The numbers that can be rounded off to 230,000 are: 225,000, 226,000, 227,000, 228,000, 229,000, 230,000, 231,000, 232,000, 233,000, 234,000

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Using linear regression, the estimate for the average cost per student at an enrollment of 750 students is of $373.

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(170, 539), (250, 482), (450, 421), (650, 415).

Inserting these points into the calculator, the function is:

y = -0.24733x + 558.23703.

When x = 750:

y = -0.24733(750) + 558.23703 = 373.

The estimate for the average cost per student at an enrollment of 750 students is of $373.

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Answer:

choice 1 or A the first one

Step-by-step explanation:

The expressions that are equivalent to -9 are -(9) and -|9|

Rational expressions are expressions that are represented by the quotient of two polynomials or radicals. This means that, a rational expression is represented by a fraction whose numerator and denominator are polynomials or radicals

The expression is given as

-9

According to the identity law of algebra, we have the following equation

-x = -(x)

This means that

-9 = -(9)

Also, we have

-9 = -|9|

Hence, the expressions that are equivalent to -9 are -(9) and -|9|

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The simplification of the given equation is (x² + 8x - 16)/(x-4)(x+4) by the method of LCM.

For, the given equation;

4/(x+4) + (x/x-4)

To find the common denominator, use LCM; multiply a first term by (x-4)/(x-4) and the 2nd term by (x+4)/(x+4):

= (x-4)×4/(x-4)(x+4) +  x×(x+4)/(x-4)(x+4)

The following step is to disperse the 4 (x-4) and x (x+4);

So you now have;

= (4x-16 + x² + 4x)/(x-4)(x+4)

Further simplify.

= (x² + 8x - 16)/(x-4)(x+4)

As, (x² + 8x - 16) is further not factor-able. So, the simplified form of the given equation is; (x² + 8x - 16)/(x-4)(x+4).

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Answer:there are 4 possible edges and issa 6x6 puzzle

Step-by-step explanation: clarify question or add screen shot?

The coordinates of the midpoints of the segment with the endpoints are (-1, 0.5)

The endpoints of the segment are given as

J = (-6, 3)

K = (4, -2)

The coordinates of the midpoints of the segment with the endpoints are calculated as

Midpoint = 1/2 * (J + K)

So, we have

Midpoint = 1/2 * (-6 + 4, 3  - 2)

Evaluate the sum and the difference

So, we have

Midpoint = 1/2 * (-2, 1)

Evaluate the product

So, we have

Midpoint = (-1, 0.5)

Hence, the coordinates of the midpoints of the segment with the endpoints are (-1, 0.5)

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Answer:

This is a false statement so there is no solution.

Step-by-step explanation:

2-(n+2) > -(7 +n) + 7

2 -n -2 > -7 -n + 7

-n > -n  This cannot be true, so there is not solution.

Answer:

No solutions

Step-by-step explanation:

2-(n+2) > -(7+n)+7  Distribute the -1 to both parentheses

2 - n - 2 > -7 - n + 7   Simplify values (2 - 2; -7 + 7)

-n > -n   Add n to both sides

No solutions (There are no solutions because when the equation simplifies, there are no variables and values left)

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer: 32 hours

Step-by-step explanation:

brain

The Residual is -8.4 hours and the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

A residual plot is a type of scatter plot where the horizontal axis represents the independent variable, or input variable of the data, and the vertical axis represents the residual values.

Now, looking at the given residual plot and using a calculator online, we can say that the equation of the least squares regression line is;

y^ = 180.8 + 15.2x

Now, for 2 tablespoons of sugar , we have x = 2. Thus;

y^ = 180.8 + 15.2(2)

y^ = 212.4 hours

Residual for 204 hours is;

Residual = 204 - 212.4 = -8.4 hours

Thus, the interpretation of the given residual is that the carnation stayed fresh for 8.4 hours less than expected based on how much sugar it received.

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Complete question is;

Does adding sugar to the water in a vase help flowers stay fresh? To find out, two statistics students went to a flower shop and randomly selected 12 carnations. When they got home, the students prepared 12 identical vases with exactly the same amount of water in each vase. They put one tablespoon of sugarin 3 vases, two tablespoons of sugar in 3 vases, and three tablespoons of sugar in 3 vases.In the remaining 3 vases, they put no sugar. After the vases were prepared, the students randomly assigned 1 carnation to each vase and observed how many hours each flower continued to look fresh.

Calculate and interpret the residual for the flower that had 2 tablespoons of sugar and looked fresh for 204 hours.

∠RQU is an obtuse angle.

∠SQU is an acute angle.

∠RQT is an right angle.

m∠RQU = 19 + 71 + 18 = 108°.

Therefore, ∠RQU is an obtuse angle.

m∠SQU = 71 + 18 = 89°

Therefore, ∠SQU is an acute angle.

m∠RQT = 71 + 19 = 90°

Therefore, ∠RQT is an right angle.

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Based on the return on assets of 21%, the net income of Pacific Ocean Resort  for year is $166,950

What is return on assets?

The return on assets for the company is determined as the net income divided by the average total assets of Pacific Ocean Resort , bearing in mind that the average total assets is sum of the beginning and ending assets divided by 2

return on assets=net income/average total assets

return on assets=21%

net income=unknown

average total assets=($720,000+$870,000)/2

average total assets=$795,000

21%=net income/$795,000

net income=$795,000*21%

net income=$166,950

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Answer:14m

Step-by-step explanation:

3 1/2 x 4= 14

The interval(s) over which the function is decreasing is (-∞, -2) U (-2, -1) U (-1, 1) U (5, +∞)

According to the given graph

the increasing points:

[1, 5]

and the decreasing are:

(-∞, -2) U (-2, -1) U (-1, 1) U (5, +∞)

The correct and complete question is:

Use the graph to answer the question. 1. Find the interval(s) over which the function is decreasing. (1 point)

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Step-by-step explanation:

a linear or arithmetic sequence has a start value as first term, and then every following term is created by adding the same constant to the previous term.

a1 = a

a2 = a1 + c = a + c

a3 = a2 + c = a + c + c = a + 2c

a4 = a3 + c = a + c + c + c = a + 3c

...

as we can easily see

an = an-1 + c = a + (n-1)c

in our case

a3 = 17 = a + 2c

a = 17 - 2c

a45 = 269 = a + 44c = 17 - 2c + 44c = 17 + 42c

252 = 42c

c = 6

a = 17 - 2c = 17 - 2×6 = 17 - 12 = 5

so,

an = 5 + (n-1)×6

The telephone pole will stands 10.5 meters tall.

Given shadow of you = 5 meters

The true height is 1.5 meters.

We must determine the telephone pole's height because its lengthy shadow is 35 meters long.

Assume that x is the height of the telephone pole..

Now we can write this as

height of shadow/ actual height

5 / 1.5 = 35 / x

By cross multiplication we get

5 * x = 35 * 1.5

We get it by dividing '5' by both sides

x = 35 * 1.5 / 5

x = 10.5 meters

Therefore ,The telephone pole is 10.5 meters tall.

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Answer:

Dat is

45/7

6.43

6.43+4+4

14.43

Answer:

b c

Step-by-step explanation:

have a great day

Answer:

credit card an bank information

medical history

Step-by-step explanation:

Mid point of AB is (0, -3)

Coordinate of A is (6, -5)

By using mid point formula, if P(x, y) and Q (x′, y′), then mid point of P= (x + x′)/2 , (y + y′)/2

So, ( 0, -3)= 6+x/2, -5+y/2

0=6+x/2

0=6+x, x = -6

and, -3= -5+y/2, -6= -5+y....

y = -1

so the coordinate is (-6, -1)

To find the midpoint of two points, we can use the following formula:

[tex]midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

We're given:

Plug the information into the formula:

[tex]midpoint=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})\\\\(0,-3)=(\dfrac{6+x_2}{2},\dfrac{-5+y_2}{2})[/tex]

If [tex]\dfrac{6+x_2}{2}[/tex] must equal 0, then [tex]x_2[/tex] must be -6.

If [tex]\dfrac{-5+y_2}{2}[/tex] must equal -3, then [tex]-5+y_2[/tex] must equal -6, making [tex]y_2[/tex] equal to -1.

Therefore, BB is (-6,-1).

(-6, -1)