Find the pressure in KN/m2 the exerted by a force of 90KN on an area 15m2

The table that represents the relation are out put 3 input 3, input 2 out put -1, input 5 out put -4.

Find out if a table of input and output values is a representation of a function. The input and output values should be noted.

Verify that every input value is matched with just one output value. Consequently, the table is a function in that case.

A relation is a rule that links the constituents of one set to those of another. Relationships can be visualized using graphs, ordered pairs, tables of values, equations, or mapping diagrams. Every input in a relation results in one or more outputs.

According to question:-

out put 3 input 3

input 2 out put -1

input 5 out put -4.

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Answer:

12y( y-1 ) - 8( y+1 )

Step-by-step explanation:

12y^2-20y-8 = (12y^2- 12y) - (8y+8) = 12y( y-1 ) - 8( y+1 )

Answer:

  28°

Step-by-step explanation:

You want the smallest angle in a right triangle if the difference from the larger one is 34°.

This is one of a class of problems in which you want to find values that have a particular sum and a particular difference. They all have the same generic solution:

Here, the sum of the two acute angles in a right triangle is 90°. The problem statement tells you their difference is 34°. That means the smaller angle is ...

  smaller angle = (90° -34°)/2 = 56°/2 = 28°

The smallest angle is 28°.

__

Additional comment

The largest acute angle is (90° +34°)/2 = 124°/2 = 62°. You will notice this is the complement of the 28° angle found above, and differs by ...

  62° -28° = 34° . . . . as required by the problem statement

If you don't want to just jump to the answer, you can write an equation for the smallest angle (x). The larger will be (x+34).

  x +(x +34) = 90 . . . . . the two acute angles are complementary

  2x = 90 -34

  x = (90 -34)/2 = 56/2 = 28 . . . . . this should look familiar

Answer:

1.35/0.15

13.5/1.5

Step-by-step explanation:

We know the first and last ones are incorrect. The last is incorrect because it uses addition when the question is asking for the quotient. The first is incorrect because 1.35/1.5 = 0.9. The quotient (or answer) for the rest all equal 9.

1.35/0.15 = 9

13.5/1.5 = 9

A line passes through the points (5,9) and (4,6) is y=3x-6.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

The given coordinate points are (5,9) and (4,6).

Here, slope m=(6-9)/(4-5) =3

Substitute m=3 and (x, y)=(5, 9) in y=mx+c, we get

9=3×5+c

9-15=c

c=-6

Substitute m=3 and c=-6 in y=mx+c, we get

y=3x-6

Therefore, equation in slope-intercept form is y=3x-6.

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The total trip cost approx $140

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given here: Mr. Luthi took 30 passing students and they each get a pizza and a ice cream. let the cost of the ticket be t then we have

Cost = 30t+90

Similarly for Mr. Byers students the total cost is=12t+120

Now as per question they paid the same amount for the field trips '

Thus we have, 30t+90= 12t+120

                         18t=30

                             t=$1.66

Thus 12t+120= 140(approx)

Hence, The total trip cost approx $140

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The total number of tomato plants is given as follows:

768 tomato plants.

The total number of tomato plants is obtained according to the proportions in the context of this problem.

The use of the proportion is because the total number of tomato plants is given by the multiplication of the number of plants by the number of rows.

The parameters for this problem are given as follows:

Hence the total number of tomato plants is obtained as follows:

96 * 8 = 768 plants.

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Assume that

First gap: y=(3+x)

Second gap: y=(5 + 0.5 x)

3+x=5+0.5x,

x-0.5x=5-3,

0.5x=2,

5x=20,x=4.

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If a college student plans to use a credit card to cover the cost of purchasing a $3,200 campus meal plan. The amount of interest that will be owed is: D. $564.16.

Using this formula to

I=   Pe^rt - P

Where:

I = Interest amount = ?

P = Principal = $3,200

e = Exponential

r = Rate = 12.99% or 0.1299

T =Time = 15 months/12 = 1.25

Let plug in the formula

Interest amount = ( $3,200e^0.1299× 1.25) - $3200

Interest amount = ( $3,200e^0.162375) -  $3,200

Interest amount =  $3,764.16 -$3,200

Interest amount = $564.16

Therefore we can conclude that the correct option is D.

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Answer: C

Step-by-step explanation:

Same thing as before(I believe I answered a similar question).

Substitute the values for the variables.

Do that, and you get

(1/2)^2+2/5

= 1/4+2/5

= 5/20+8/20

= 13/20

The answer is C.

Table 1 is the correct answer.

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given: Table 1

x y

0 0

4 2

8 4

Clearly here x=2y which is proportional equation with 2 being the constant with x varying directly with the value of y

Hence, Table 1 is the correct answer.

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The above statements are

A) True

B) True

C) False

D) False

What is the division equation?

The division equation is a mathematical operation that represents the process of determining the number of times one number, called the divisor, can be subtracted from another number, called the dividend, without going negative.

A) The whole bar represents 4/5 -> TRUE

B) The model is divided into 1/8 equal parts -> TRUE

C) The model is divided into parts each worth 1/10. -> FALSE

D) The model represents the division equation 4/5 ÷ 1/10= 8 -> FALSE.

Hence, the above statements are

A) True

B) True

C) False

D) False

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Answer:

f(3) = 3

Step-by-step explanation:

f(x) = 2x - 3

f(3) = 2(3) - 3

f(3) = 6 - 3

f(3) = 3

The value of angle x based on the information given is 45°.

Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life

From the image ∠BEC = 160°, ∠FED = 115° and ∠AEF = x°

∠AEC = 180 - 160 = 20° (sum of angles on a straight line)

∠DEB = ∠AEC (vertically opposite angles)

∠DEB = 20°

It should be noted that vertically opposite angles are equal just as denoted above.

x = 180 - ∠DEB - ∠FED  (sum of angles on a straight line)

It should be noted that the sum of angles that are on a straight line is 180°.

x = 180 - 20 - 115

x = 45°

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Answer:

Step-by-step explanation:

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The expression which represent consecutive odd integer is 2x+1.

What is odd integer?

Any integer that cannot be divided by two is referred to as an odd number. In other words, integers that take the form 2k+1, where k , are referred to be odd numbers. Integers or sets of integers on a number line can be either odd or even, it should be noted.

Here let us take the odd integer as x.

Now the expression which expression consecutive odd integer is,

=> 2x+1 .

Here x is a real number.

Hence the expression which represent the next consecutive odd integer is 2x+1.

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The expression which represent consecutive odd integer is 2x+1.

Any integer that cannot be divided by two is referred to as an odd number. In other words, integers that take the form 2k+1, where k , are referred to be odd numbers. Integers or sets of integers on a number line can be either odd or even, it should be noted.

Here let us take the odd integer as x.

Now the expression which expression consecutive odd integer is,

=> 2x+1 .

Here x is a real number.

Hence the expression which represent the next consecutive odd integer is 2x+1.

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x=7<

Step-by-step explanation:

7x4=77iuiiiiiiiiii

The regular price of each shoe pair is $36.75

To find the regular price of each pair of shoes before the discount, we need to use algebra. Let x be the regular price of each pair of shoes. We know that:

3x = regular price of 3 pairs of shoes

We also know that Gwen paid $110.25 after the discount, so we can set up the following equation:

3x - discount = 110.25

We don't know the discount, so we can't solve for x yet.

But we can use the fact that Gwen bought 3 pairs of identical shoes to find the discount.

discount = regular price of 3 pairs of shoes - price paid after discount

= 3x - 110.25

Now we can substitute this expression for the discount into the first equation:

3x - (3x - 110.25) = 110.25

Simplifying this equation gives:

110.25 = 110.25

So x = regular price of each pair of shoes = $110.25/3 =

$36.75

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Answer: A quadratic function is a polynomial function of form f(x) = ax^2 + bx + c where a,b, and c are constants, and a is not equal to zero.

The given functions are:

8 - 5x = 4(3x - 1)

(4a + 2)(2a - 1) + 1 = 0

2y + 2(3y - 5) = 0

2b(b - 7) + b = 0

The quadratic function(s) among them are:

2. (4a + 2)(2a - 1) + 1 = 0

2b(b - 7) + b = 0

The first one 8 - 5x = 4(3x - 1) is linear and not a quadratic function, and the third one 2y + 2(3y - 5) = 0 is also linear, not a quadratic function.

Note that to identify a quadratic function, we can look for the pattern of x^2 or y^2 in the equation.

Also, we could expand the second degree polynomials in the form (ax^2+bx+c) and check if there are x^2 or y^2 term on both sides of the equation.

Step-by-step explanation:

The coordinates of the remaining vertex if the other 3 vertices of DEFG are D(1, 1), E(5, 2), and F(1, 8) is G(12,2)

A spherical or elliptical coordinate system known as the geographic coordinate system is used to measure and transmit positions on Earth as latitude and longitude. Of all the several spatial reference systems in use, it is the most basic, traditional, and generally used. It serves as the foundation for the majority of

Latitude and longitude are the two components of the geographic coordinate system. Each longitude line measures the number of degrees east or west of the prime meridian and travels north to south. Values fall between -180° and +180°. Latitude lines travel from east to west and count the degrees north or south of the equator.

According to the given question, we see that

The coordinates of the remaining vertex if the other 3 vertices of DEFG are

D(1, 1), E(5, 2), and F(1, 8) is G(12,2)

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The possible real number for the variable s is 39.3 (letter D).

It is common in math solutions, you multiply a number by itself.  See the examples below.

2 x 2 =4

3 x 3 = 9

4 x 4 = 16

In math, you can use the power to represent a multiply a number by itself using the operation power. Let's consider the previous example for a better understanding.

2 x 2 = 2²

3 x 3 = 3²

4 x 4 = 4²

Therefore, the power represents the number of times the numeral repeats in a product. It is important to know that the inverse operation of power is the root. Thus,

2²=4 and [tex]\sqrt{4}[/tex]= 2

The question asks you the possible value of s.

If  [tex]4 < \sqrt{s}[/tex], you can apply power operation on both sides, for eliminating the root.

[tex](4)^2 < (\sqrt{s})^2\\ \\ 16 < s[/tex]

Another inequality is [tex]\sqrt{s} < 9[/tex]. Then, one more time you will apply power operation on both sides, for eliminating the root.

[tex](\sqrt{s})^2 < (9)^2 \\ \\ s < 81[/tex]

Combining the intervals you have: 16< s< 81.  Now, let's analyze the given options.

A. 2.5  - It is not contained in the given range 16< s< 81.

B. 7.6  - It is not contained in the given range 16< s< 81.

C. 12.7 - It is not contained in the given range 16< s< 81.

D. 39.3 -  It is contained in the given range 16< s< 81.

E. 82.4 - It is not contained in the given range 16< s< 81.

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The amount by which Ariel’s bank account changed from week `1` to week `6` is -$365.80.

The changes over the six-week period in Ariel's bank account are as follows:

At the end of week 1:

$337.5 - $360 = -$22.50

At the end of week 2:

$182.35 - $337.5 = -$155.15

At the end of week 3:

$-41.4 - $182.35 = -$223.75

Balance at the end of week 4:

-$41.4 + $40 = -$1.40

At the end of week 5:

-$5.80 - (-$1.4) = -$4.40

Week 6 balance = -$5.80

Changes that occurred = -$22.50 + (-$155.15) +  (-$223.75) + (-$1.40) + $40 + (-$4.40)

Changes that occurred = -$365.80

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Variable x isb5 is the answer to the equation 6 is 3x - 9 in the given situation.

A mathematical statement is considered to be an equation if it contains at least two terms with equal amounts of variables or integers.

We can start by focusing on the variable on one side of equation 6 = 3x - 9 in order to find a solution. We may accomplish this by adding 9 to both sides, giving us:

6 + 9 = 3x

Simply put, this means:

15 = 3x

The next step is to divide the equation's two sides by 3, which will yield the answer to the question "what is x?"

15/3 = 3x/3

We obtain 5 = x by simplifying.

Consequently, x = 5 is the answer to the variable.

The complete question is,

Locate the answer to the variable in the following equation. Use entire sentences to describe the problem-solving procedure you used to come up with a solution, and be sure to present all of your efforts. Include two words from the word bank at the very least.

6 = 3 x - 9.

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Answer:

53, 4, -12

Step-by-step explanation:

Let the first, second, and third integers be a, b, and c, respectively.

a + b + c = 45

a + b = c + 69

c = a - 65

Using the third equation, substitute the value of c, a - 65, for c in the first two equations.

a + b + a - 65 = 45

a + b = a - 65 + 69

2a + b = 110

b = 4

2a + 4 = 110

2a = 106

a = 53

c = a - 65

c = 53 - 65

c = -12

a = 53; b = 4; c = -12

Answer: 53, 4, -12

The measure of the exterior angle is 70° .

Exterior angle = Sum of two opposite interior angles of a triangle.

           (2x- 8)° = x° + 31°  

               2x- x = 31 +8

                     x = 39

So, Substituting the value of x in the exterior angle.

(2x- 8)° = 78 - 8

             = 70°

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Therefore , we can conclude from answering the given question of equation that dy/dx =2t² = > dy/dxat (5,3) = -2 is the solution to the following problem.

An equation is an mathematical formula that joins two statements with the equivalent symbol = to express equality. In algebra, an equation is defined as a formula that asserts that two formulae are equivalent. For instance, an equal sign separates the components three times + 5 and 14 in the equations 3x + 5 = 14. In mathematical formulas, especially equations, the equal sign is a necessary varaibles. Equations frequently make use of algebra. When we don't have a precise quantity to compute in math, algebra is used.

Here,

In this instance,

x=5 + In(t)

=>y=t² + 2

=> dx/dt=1/t

=>dy/dt=2t

=>dy/dx=2t²

=> dy/dx at (5,3) = -2

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Regardless of the sign of the inequality, the domain and range of a linear inequality are always all real numbers.

Regardless of the inequality's sign, the domain and range of a linear inequality always include all real numbers. The vertex will determine the scope of the absolute value inequality. Intervals of the x values derived from zeros will decide the domain and range for polynomial inequalities.

The domain of the function is all values of x that are larger than or equal to zero, and we would write Read as an inequality if it were a mathematical statement. Inequalities is a good place to learn more about them. The identical function has a domain of in 'interval notation'. This is used to define the range of numbers from 0 to positive infinity.

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The possible values for the number of hours lifeguarding, is 5,4 hours  and the number of hours tutoring, is 5,6 hours that Brianna inequality equation  can work in a given week.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to depict the relationship between two expressions. An inequality sign has non-equal expressions on both sides.

Use these steps to resolve an inequality: Eliminate fractions in Step 1 by multiplying all terms by the total fractions' lowest common denominator. On both sides of the inequality, combine like phrases to simplify in Step 2. To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts.

16h + 11t ≥ 130

16*5=80, 16*4=64

11*5=55, 11*6=66

80x+55y>130

64x+66y>130

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Answer:

y = [tex]\frac{-A}{B}[/tex] x + [tex]\frac{C}{B}[/tex]

y = 6/5 x + 9/5

Step-by-step explanation:

Ax  + By = C  Subtract Ax from both sides

Ax - Ax + By = -AX + C

By = -AX + C  Divide both sides by B

y = [tex]\frac{-A}{B}[/tex] x + [tex]\frac{C}{B}[/tex]

-6x + 5y = 9   Add 6x to both sides

-6x + 6x + 5y = 6x + 9

5y = 6x + 9  Divide both sides by 5

y = 6/5 x + 9/5

In this case, the arms of $angle ABC$ are represented by AB and AC, which are two rays that unite to make an angle. The vertex of angle $angle ABC$ is B in this case. It is the common terminal point where rays meet to form an angle.

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