IN (3)
2
10
6
7
-3
-10 1000
15
OUT (9)
9 25 17
a. Explain in words what is done to the input value (20) to produce the output value (y).
b. Write the rule you described in part (a) with algebraic symbols.

(1-0.2)C expression represents the cost after the discount

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The force of the thrust loaded and supported as 12KN

By taking into account the equilibrium of the entire truss, it is possible to predict the reaction at the supports. Only the vertical component of the reaction at the ends A needs to be taken into account since both external loads are vertical. Given that the angle of the triangle AEC is 90 degrees, it has a right angle.

AE = AC cos 60º = 5 X 0.5 = 2.5m

CE = AC sin60º = 5 X 0.866 = 4.33m

Due to the fact that triangle ABE is an equilateral triangle,

AB = BC = AE = 2.5m

A right-angle triangle with an angle, the triangle BDC is once again

BDC = 90º

Also, BC = AC – AB = 5 – 2.5 = 2.5m BD = BC cos 60º = 2.5 X 0.5 = 1.25m

path of action of 12 KN force away from joint A,

AG = AB + BG

= AB + BD cos 60º = 2.5 + 1.25 X 0.5 = 3.125m

RC X 5 = 12 X 3.125 + 10 X 1.25 = 50  RC = 10KN ...(i) ∑V = 0, RC + RA = 10 + 12 = 22KN  RA

= 12KN

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The question is incomplete, The question is:

Determine the force of the thrust loaded and supported as shown in fig

The slope of the line is -5/6 in the graph.

The slope of a line is how steep it is going from LEFT to RIGHT. Slope is the proportion of a line's rise, or vertical change, to its run, or horizontal change.

No matter which two points you choose for the line's starting and ending points, the slope is always constant (it never changes).

From the given picture we can verify that

x₁ and y₁ is (-4, 6) and x₂ and y₂ is (2, 1).

We know the slope formula is y₂ - y₁ = m(x₂ - x₁)

Substituting the given details in formula we get

1 - 6 = m(2 - (-4))

-5 = m(6)

m = -5/6

Thus, the slope of the line is -5/6.

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Answer:

14. x = 9.7 cos(17) = 9.28

15. x = cos^-1 (10/16) = 51.32

16. x = 41/tan(35) = 58.55

Answer:

(3, −1)

Step-by-step explanation:

I did the test

The pair of samples that seems most representative of student preference is Sample 2 and sample 3 are most representative because the relationship between preferences is consistent. Option 2

In order to get the most representative preference, we would have to get the value by subtracting the data in s2 and s3

Such that for antichokes we have 3 - 0 = 3

for bears 53 - 48 = 5

For citizens 9 -7 = 2

Hence the second option is the best solution here. This is as the in choosing the mascot is less here.

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Answer: BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

HAVE A NICE DAY EVERYBODY LEAVE SOME THANKS AND ADD ME AS A FRIEND AND TEXT ME

Step-by-step explanation:

Answer:

(-3, -2)

Step-by-step explanation:

-3x -4y = 17

x -y = -1  Can be rewritten x = y - 1

Substitute y -1  for x into the first equation

-3(y - 1) - 4y = 17  Distribute the -3

-3y + 3 -4y = 17   Combine like terms

-7y + 3 = 17  Subtract 3 from both sides

-7y = 14  Divide both sides by -7

y = -2

Substitute -2 for y in x = y -1 to solve for x

x = -2 -1

x = -3

Check

-3x -4y = 17

-3(-3) - 4(-2) = 17

9 + 8 = 17

17 = 17  checks

x -y = -1

-3 -(-2) = -1

-3 + 2 = -1

-1 = -1  checks

Answer:m/s

Step-by-step explanation:

Answer:

To find the average speed of the passenger jet, we need to divide the distance traveled by the time it took to travel that distance.

Average speed = distance / time

In this case, the distance is 1,213 miles and the time is 2.7 h.

Average speed = 1213 miles / 2.7 h = 449.6 miles/h

So the average speed of the passenger jet is 449.6 miles per hour.

Answer:

Step-by-step explanation:

x=-1/2,1/2

Step-by-step explanation:

4x^2 - 1 = 0

(2x - 1)(2x + 1)= 0

x = 1/2

x = -1/2

The expression that is equal to 89.7 ÷ 10 is 897.5/100

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that an expression 89.7 ÷ 10

89.7 ÷ 10 = 8.97

1. 897.5/100

= 8.97

2. 8.975/100

= 0.08975

3. 8.975/1

= 8.975

4. 8.975/1000

= 0.008975

5. 89.750/1000

= 0.08975

Hence, the expression that is equal to 89.7 ÷ 10 is 897.5/100

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Answer:

96,100-29273=66,827

Step-by-step explanation:

Make up a number higher than 66,827

I chose 96,100

find the difference between the number made up (EX. 96,100)

EX. 96,100- 66,827 = 29273

Then double check your answer as it is easy to make mistakes

96,100-29273=66,827

Answer:

I) 5575

ii) 312.50

b) 345

Step-by-step explanation:

I)11.15(500)=5575

ii) 1.25(250)=312.50

b) 407.10/1.18 = 345

Using the general equation for depreciation which is y = A(1 – r)^t, The value of the car in 4 years is $12528.15

The value of the car is solved by using the formula for depreciation which is  y = A(1 – r)t

definition of variables

where

y = current value, = ?

A = original cost, = $24,000

r = rate of depreciation, = 15% and

t = time, in years. = 4 years

substituting the variables

current value, y = A(1 – r)t

current value, y = 24000 * (1 - 0.15)⁴

current value, y = 12528.15

the depreciation is $12528.15

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A graph of paired points that form a proportional relationship is a straight line that can be drawn through all the points, and the line passes through

the point where, x, = 0 and, y, = 0.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The equation of a line on a graph that forms a straight line and forms a proportional relationship will have to pass through the origin.

origin = (x, y) = (0, 0)

Thus,

The graph of paired points that form a proportional relationship is a straight line that can be drawn through all the points, and the line passes through the origin.

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On solving the provided question, we can say that it is a right angle triangle x = [tex]\sqrt{5}[/tex]

A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.

here

it is a right angle triangle

so by trigonometry

Sin 90 = [tex]\sqrt{5} / x[/tex]

x = [tex]\sqrt{5}[/tex]

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The probability that both numbers generated the number '5' is 1/100

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

The probability is expressed as : sample space/ total outcome

Two number generators can generate number from 1 to 10. This means that the total outcome is 10.

The number 5 has a sample space of 1 in the generated numbers.

Therefore the probability to generate 5 in the first machine = 1/10

The probability to generate 5 in the second machine = 1/10

The probability to generate 5 in both machines = 1/10 × 1/10 = 1/100.

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Answer:

Step-by-step explanation:

-672 would be your answer

The solution to the equation cosh(t) = t does not exist

The equation is given as

cosh(t) = t

To solve the equation cosh(t) = t, we can start by expressing the equation in terms of e^t and e^-t.

So, we have"

cosh(t) = (e^t + e^-t)/2 = t.

Rewrite the above equation as

e^t + e^-t = 2t.

Using a graphing calculator, the curve of e^t + e^-t and the line of 2t do not intersect

Hence, the equation has no solution

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45000 tiles we need to fill a room with area 1080 m²

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Area of floor =1080m²

Base of parallelogram shaped tile (b) =24 cm

and corresponding height (h)=10 cm

Area of one tile=b×h

=24×10

=240 cm²

=240/10000=24/1000 m²

Number of tiles required=1080/(24/1000)

=1080×1000/24

=45000 tiles

Hence, 45000 tiles we need to fill a room with area 1080 m²

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Answer:

m∠ABD=116°

m∠DBC=64°

Step-by-step explanation:

The sum of the two angles given equals 180°.  To find the two angle measures, use the following equation:

m∠ABD+m∠DBC=180°

For this problem, m∠ABD=(7x+67)° and m∠DBC=(8x+8)°.  So,

(7x+67)°+(8x+8)°=180°

15x+75=180

15x=105

x=7

Next, substitute x=7 into the original expressions for the angle measures.

m∠ABD=(7(7)+67)°

m∠ABD=(49+67)°

m∠ABD=116°

and

m∠DBC=(8(7)+8)°

m∠DBC=(56+8)°

m∠DBC=64°

The quadratic equation with solutions of (4 + i) and (4- i) is,

⇒ x² - 8x + 17 = 0

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The solutions of the quadratic equation are,

⇒ (4 + i) and (4- i)

Now, We know that;

A quadratic equation with roots a and b is,

⇒ x² -  (a + b)x + a × b = 0

Hence,  A quadratic equation with roots (4 + i) and (4 - i) is,

⇒ x² - (4 + i + 4 - i)x + (4 + i) (4 - i) = 0

⇒ x² - 8x + (4² - i²) = 0

⇒ x² - 8x + 16 + 1 = 0

⇒ x² - 8x + 17 = 0

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The probability of the first number being divided by the second number is greater than zero is 1/2.

Probability is a way to gauge how likely something is to happen. According to the probability formula, the likelihood that an event will occur is equal to the proportion of positive outcomes to all outcomes. Probability that an event will occur P(E) is equal to the ratio of favourable outcomes to total outcomes. Because the favourable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative.

Given four tiles in a bag with numbers -2, -1, 1, 2

one tile selected at random the probability is 1/4

tile return to bag and another tile selected,

the probability of the second tile is 1/4

total outcome for both is 4 x 4 = 16

the ratio of both numbers should be positive

outcomes are (-2, -1)(-2, -2)(-1, -1)(-1, -2)(2, 1)(2, 2)(1, 1)(1, 2)

favourable outcome are 8

probability is 8/16 = 1/2

Hence the probability is 1/2

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Answer:

6 : 36.         You are already said the answer????.

Step-by-step explanation:

One plane can be drawn, so it contains all three points.

What is spherical coordinates?

The coordinate system that is most frequently employed in three-dimensional systems is called spherical coordinates of the system, represented as (r,Ф,∅ ). The surface area in three dimensions is calculated using the spherical coordinate system. Radial distance, polar angles, and azimuthal angle are the three numbers that these coordinates indicate. Additionally known as spherical polar coordinates.

Consider points R, S, and T. Point S is in the middle. Point R is below and to the left of point S.

Suppose that the S coordinate is at the origin, that is (0, 0)

The coordinates of R and T with respect to S will then be (-x, -y) and (x, -y).

Hence One plane can be drawn, so it contains all three points.

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Answer:

Let x be the number of games Don can bowl.

We can write the equation as:

25 - 5 - 2.5x = 0

This equation represents the total amount of money Don has, minus the cost of renting shoes, minus the cost of each game he bowls, which should equal zero if he wants to spend all of his money.

Solving for x, we get:

25 - 5 - 2.5x = 0

2.5x = 20

x = 8

Don can bowl 8 games.

Step-by-step explanation:

Hope this helps (:

The image of absolute value function f(x) = |x| by rigid transformation is g(x) = 5 · |x|. (Correct choice: B)

In this case we must derive the image of a absolute value function by means of a rigid transformation known as vertical compression, defined as:

f(x) = |x| → g(x) = k · |x|, where k  > 0, k ≠ 1

There is enlargement for k > 1 and contraction for 0 < k < 1. Herein we find an enlargement case (k = 5), then the image of function f(x) = |x| is equal to:

g(x) = 5 · |x|

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Answer:

16 boys and 8 girls

Step-by-step:

24 / 3 = 8

so 8 girls

24 - 8 = 16

and 16 boys

The value of the third number is 25.5

An algebraic expression can be defined as an expression can be defined as an expression that consists of variables, coefficients, terms, constants and factors.

From the information given as;

Now, substitute the values, we get;

x - 9 + 2(x-9) + x = 75

expand the bracket

x - 9 + 2x - 18 + x = 75

collect like terms

x +2x + x = 75 +27

add or subtract the like terms

4x = 102

Make 'x' the subject of formula by dividing both sides by 4

x = 102/4

x = 25.5

Hence, the third number is 25.5

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Complete question

the sum of three numbers is 75 the First number is 9 less than the third the second number is 2 times the third what are the numbers. Find the third number

The three numbers are 19, 28 and 56

Word problem in mathematics is expressing mathematical problems in words. In other words, a word problem is a verbal description of a problem situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations to information available in the text.

Represent the three numbers with x, y, z

x = z-9

y = 2z

x+y+z = 75

substitute 2z for y in x+y+z

2z+x+z = 75

substitute z-9 for x

2z+z-9 = 75

3z- 9 = 75

3z = 75+9

3z = 84

z = 28

y = 2z

y = 2× 28

y = 56

to find the value of x;

x = 28-9

x = 19

therefore the value of the three numbers (x,y,z) is 19, 28, 56

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Using the concept of arithmetic progression , We have t(n) = a +(n-1)d formula, The answer is 3.

A number sequence is a series of numbers that are listed in a particular order. The numbers in a sequence may follow a specific pattern or rule. Examples of number sequences include the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, etc.), the Fibonacci sequence (1, 2, 4, 8, 16, 32, etc.), and the triangular number sequence (1, 3, 6, 10, 15, etc.). Number sequences are often studied in mathematics and have many applications in fields such as computer science, engineering, and physics.

An arithmetic progression (AP) is a type of number sequence in which the difference between any two consecutive terms is always the same. This common difference is known as the "common ratio" of the sequence. For example, the sequence 2, 5, 8, 11, 14 is an arithmetic progression because the common difference is 3.

t(n) =  a + (n-1)d

n=5

t(5)=17

a=5

17 = 5 +(5-1)d

12=4d

d=12/4 = 3

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Answer: it is not a function

Step-by-step explanation: occurs when there was an attempt to call a value from a function, but the value is not actually a function.