How do u find the fraction result of this equation,
Im confused

Answer:

9 m²

Step-by-step explanation:

s = half the perimeter = (a+b+c)/2

the perimeter in our case is

a+b+c = 16

so, s = 16/2 = 8

and the sides are

7 m

6 m

16 - 7 - 6 = 3 m

therefore, we get

area = sqrt(8(8-7)(8-6)(8-3)) = sqrt(8×1×2×5) = sqrt(80) =

= 8.94427191... ≈ 9 m²

Answer: the answer is b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here we can see this is a bit of an trial and error, let's go through the options individually.

To find whether the ordered pair satisfies the equation, we will substitute x and y into the equation. To have the ordered pair to satisfy the equation, the value must be 7.

A) Given x = -5 , y = 3,

[tex]-5x+3y= - 5(-5)+3(3)\\=25+9\\= 34\\34 \neq 7[/tex]

Therefore this pair does not satisfy the equation.

B) Given x = 2, y = -1,

[tex]-5x+3y = -5(2)+3(-1)\\= -10-3\\=-13\\-13 \neq 7[/tex]

Therefore this pair does not satisfy the equation.

C) Given x = 7, y = 14,

[tex]-5x+3y = -5(7)+3(14)\\= -35 + 42\\= 7[/tex]

Therefore this pair satisfy the equation.

D) Given x = -2, y =[tex]-\frac{13}{5}[/tex],

[tex]-5x+3y = -5(-2)+3(-\frac{13}{5} )\\=-10-\frac{39}{5} \\=-17.8 or -17\frac{4}{5} \\-17.8\neq 7[/tex]

Therefore this pair does not satisfy the equation.

The area of sector POR is approximately equal to 68.76 square centimeters, and the perimeter of sector POR is approximately equal to 34.92 centimeters.

In Mathematics, if you want to calculate the length of an arc formed by a circle, you will divide the central angle that is subtended by the arc by 360 degrees and then multiply this fraction by the circumference of the circle.

Mathematically, the length of an arc formed by a circle is given by:

Length of an arc = 2πr × θ/360

Substituting the given parameters into the formula, the radius of this circle is given by;

12 = 2 × 3.142 × r × 60/360

12 = 2 × 3.142 × r × 1/6

72 = 6.284r

Radius, r = 72/6.284

Radius, r = 11.46 centimeters.

Now, we can calculate the area of sector POR:

Mathematically, the area of a sector can be calculated by using this formula:

Area of sector = πr² × θ/360

Where:

Substituting the given parameters into the formula, we have;

Area of sector = 3.142 × 11.46² × 60/360

Area of sector = 3.142 × 131.3316 × 1/6

Area of sector = 68.76 square centimeters.

Next, we would calculate the perimeter of sector POR:

Perimeter of sector POR = 2r + Length of an arc

Perimeter of sector POR = 2(11.46) + 12

Perimeter of sector POR = 22.92 + 12

Perimeter of sector POR = 34.92 centimeters.

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Answer:

Step-by-step explanation:

f(-2) means that the "x" variable in the equation can be substituted for -2

So, we have

-5(-2) + 12

This equals 10 + 12 = 22

So, the answer is 22

Answer:

A. The function is always decreasing

Step-by-step explanation:

we read a graph from left to right, so we can always compare the increase/decrease of a function by seeing how an x value compares with an x value to the left

(I am aware that this paragraph is really confusing)

we can see that as x increases, from -∞ to 0,

y decreases in correspondence

and that as x increases, from 0 to ∞,

y decreases in correspondence also

So, even though the graph doesn't quite look like it, when x < 0; the function decreases, when x > 0; function decreases--so the function is always decreasing

hope this helps!! have a lovely day :)

Rejecting the null thesis means that;

There's sufficient substantiation to support the claim that the mean is lesser than 32 long hauls per gallon.

For thesis testing, the first thing to define is the null and indispensable thesis.

In thesis testing, especially one comparing two sets of data, the null thesis plays the devil's advocate and generally takes the form of the contrary of the proposition to be tested. It generally contains the signs = , ≤ and ≥ depending on the directions of the test. It generally maintains that, with arbitrary chance responsible for the outgrowth or results of any experimental study/ thesis testing, its statement is true.

The indispensable thesis generally confirms the proposition being tested by the experimental setup. It generally contains the signs ≠,< and> depending on the directions of the test. It generally maintains that significant factors other than arbitrary chance, affect the outgrowth or results of the experimental study/ thesis testing and affect in its own statement.

For this question, Carter Motor Company claims that its new hydrofoil, the Libra, will total better than 32 long hauls per gallon in the megacity. And since this is talking distance covered per gallon of energy, better means that the new hydrofoil will total further than 32 long hauls per gallon.

So, the null thesis negating this claim would be that there is not significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.

That is, the new normal will be lower than or equal to 32 long hauls per hour.

And the indispensable thesis will confirm the claim that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.

Mathematically,

The null thesis is represented as

H ₀ μ ≤ 32 long hauls per gallon

The indispensable thesis is given as

Hₐ μ> 32 long hauls per gallon

So, after the thesis test has been conducted, rejecting the null thesis means accepting the indispensable thesis and its statement that there's significant substantiation to conclude that the normal of the new hydrofoil will be more or lesser than 32 long hauls per gallon.

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The value of expression (m n)(x) for x=-3 by putting x=-3 is -3mn.

Given Expression (m n)(x) and we have to find the value for x=-3.

Expression refers to the combinations of numbers, symbols, variables. It is usually not present in equal to form. It is often solved for finding the overall relationship between variables. It is often expresses quantity of one variable and combination of some material.

The given expression is (mn)(x)

To find the value of expression for x=-3, we have to just put the value of x=-3

mn(x)=(mn)(-3)

=(mn)-3

=-3mn

Hence the value of  expression (mn)(x) for x=-3 is -3mn.

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Using translation concepts, the transformation is defined by:

J. A translation of triangle XYZ to the right.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the orientation of the triangle remains the same, hence it is a translation of the triangle to the right.

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The correct expression for the inverse proportion is k/6 = 3/1

Given the inequality xy = k

If y is inversely proportional to x, then;

y = k/x

Given that y = 6, and  x = 3, then;

6 = k/3

Swap

k/3 = 6

k/6 = 3/1

Hence the correct expression for the inverse proportion is k/6 = 3/1

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The young modulus of a wire with an area of 0.01 m², that strain 6.25 * 10⁻³ if a load of 100N is applied is 16000 N/m²

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

The young modulus is given as:

Young modulus = stress / strain = load / (area * strain) = 100 / (0.01 * 6.25 * 10⁻³) = 16000 N/m²

The young modulus of a wire with an area of 0.01 m², that strain 6.25 * 10⁻³ if a load of 100N is applied is 16000 N/m²

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The information about the triangle shows that

TRS ≅ △SUT because of SAS, CPCTC.

It should be noted that from the information given, W is the intersection point of line segments TS and RU.

Also, RWS and UWT are equal because they're vertical angles.

Therefore, by AAS, TUW and SRW are equal. Also, TRS ≅ △SUT because of SAS, CPCTC.

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Answer: SAS and CPCTC

Step-by-step explanation:

Because of SAS, △TRS ≅ △SUT, and because of CPCTC, ∠RST ≅ ∠UTS.

Trust me!

If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.

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Answer:

$1.90

Step-by-step explanation:

16.80 - 1.60 = 15.20, since we are finding the price of each bottle of juice.

1) Set up and equation equated to 15.20.

8x = 15.20

x = 15.20/8

x = 1.90

Therefore, each bottle of juice costs $1.90.

The reflection of segment AB over the line x = 1, will be the line segment EF. Then the correct option is B.

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Reflection does not change the size and shape of the geometry.

The line segment AB is given.

Then the reflection of segment AB over the line x = 1, will be the line segment EF.

Then the correct option is B.

The missing diagram is given below.

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Answer:

Step-by-step explanation:

Reflecting a Line Segment Across the X-axis or Y-axis

Step 1: Identify the endpoints of the line segment.

Step 2: Reflect the endpoints of the line segment.

Step 3: Connect the reflected endpoints in a straight line to form the reflected line segment.

A reflection across line moves each point to such that line is the perpendicular bisector of the segment connecting

Answer:

x = 4

Step-by-step explanation:

the two angles you see are alternate exterior angles, meaning they are equal to eachother.

32x + 2 = 33x - 2

subtract so that x is on one side. 33 - 32 = 1, so the equation would be

2 = x - 2

add 2 to both sides.

4 = x

hope i helped.

Answer:

x = 16x

Step-by-step explanation:

32x divided by 2 equals 16x

33x minus 2 also equals 16x

Since the numbers are the same for both equations X equals 16x

Answer:

[tex]a_n = 5 + (n-1)(-4)[/tex]

Step-by-step explanation:

So the explicit formula is generally defined as [tex]a_n = a_1 + d(n-1)[/tex]. where d is essentially the "slope", basically how much it's changing from term to term. anyways if you look at the recursive formula you'll notice it's taking the previous term and subtracting 4. This is what d is going to be, -4 and since a_1 is given you plug that in as well. This gives you the equation

[tex]a_n = 5 -4(n-1)[/tex] which can also be written as [tex]a_n = 5 + (n-1)(-4)[/tex]

The multiplicative rate of change of the exponential function is 0.5.

In this problem we have three that are part of a exponential function, whose form is shown below:

[tex]y = a\cdot r^{x}[/tex]     (1)

Where:

We notice that for Δx = 1, the value of y is halved. Hence, the multiplicative rate of change of the exponential function is 0.5.

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Answer:

3 is the coefficient of m3

Answer:

a

Step-by-step explanation:

(3/4) to the power of 2 means to multiply it by itself and so, 3/4 times itself is 9/16

Answer:

Step-by-step explanation:

Hello

[tex]\large\displaystyle\text{$\begin{gathered} \sf Apply \ the \ third \ exponent \ rule-: \bigg(\dfrac{x}{y}\bigg)^m=\dfrac{x^m}{y^m} \end{gathered}$}}[/tex]

Solve-:

[tex]\large\displaystyle\text{$\begin{gathered} \sf \bigg(\dfrac{x}{y}\bigg)^2= \dfrac{3^2} {4^2} =\boxed{\sf{\frac{9}{16}}} \end{gathered}$ }}[/tex]

[tex]\pmb{\tt{done \ !!}}[/tex]

[tex]\orange\hspace{300pt}\above2[/tex]

The expression that is equivalent to -9/6 is = 9/-6. That is option A.

Fraction is represented by a numerator and a denominator which can be either positive or negative.

From the fraction given, -9/6. The numerator is 9 while the denominator is 6.

The expression that is equivalent to -9/6 is = 9/-6 and not -9/-6 because the negatives are cancelled out.

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Answer: f^-1(1) + f(-14) = 20, f^-1(-2) = 10

Step-by-step explanation:

When finding the inverse through a table of functions, we are doing the opposite of a function. For example:

If f(9) = 1, then, let me ask you, what is f^-1(1)? Well, that's just 9! You're basically doing the opposite.

An inverse through a table of functions is basically you trying to figure out what x-value did you input to get the f(x) value. A regular function is you trying to figure out what f(x) value did you get by inputting an x-value.

So, the inverse of f(1) is 9, and the regular function of -14 is equal to 11. We then add. 11+9 = 20.

The inverse of -2, like I said before, is you trying to find out the x value you put to get -2. Well looking at the table, it seems x was 10. Thus the inverse of -2 is 10.

Answer:

there is no ans that is the ans

Answer:

x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz

Step-by-step explanation:

x³ + y³ + z³ = [ (x +y +z)(x² + y² + z² -xy - yz - xz) ] + 3xyz

Please find the question attached below.

The equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180.

We know that a linear equation with one variable is one that contains just one variable.

Here we have to find the appropriate equation that models the given chart.

For option A. :

y = - 40x + 140

At x = 2, y = - 40*2 + 140 = - 80 + 140 = 60 =/ 140

So this option is incorrect.

For option B.:

y = - 40x + 180

At x = 2, y = - 40*2 + 180 = - 80 + 180 = 100 =/ 140

So this option is incorrect.

For option C.:

y = - 20x + 140

At x = 2, y = - 20*2 + 140 = - 40 + 140 = 100 =/ 140

So this option is incorrect.

For option D.:

y = - 20x + 180

At x = 2, y = - 20*2 + 180 = - 40 + 180 = 140

So this option is correct.

Therefore, the equation that models the decrease in water (in gallons) of the fish tank over time (in hours) is y = - 20x + 180. So, the last option is correct.

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Answer:

answer is D. 35/60

Step-by-step explanation:

35 divided by 60 is = 0.583333

which is a repeating decimal

Among the options, only a rational number (35/60) is equivalent to a repeating decimal. The correct answer is option (d).

To identify which of the given rational numbers is equivalent to a repeating decimal, we need to check their decimal representations.

a. 24/60 = 2/5 = 0.4 (terminating decimal, not repeating)

b. 30/64 = 15/32 = 0.46875 (terminating decimal, not repeating)

c. 29/50 = 0.58 (terminating decimal, not repeating)

d. 35/60 = 7/12 = 0.583333... (repeating decimal, as 3 repeats infinitely)

Among the options, only option d (35/60) is equivalent to a repeating decimal.

The repeating decimal representation is 0.583333... where the digit 3 repeats indefinitely.

This can be represented as 0.58(3).

The correct answer is option (d).

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Answer:

x = -5

Step-by-step explanation:

We can use the below formula to find the line of symmetry.

( x - a )² + b

Here,

line of symmetry = +a

Vertex = +b

And now let us take a look at the given equation.

y = x² + 10x + 22

To find the line of symmetry from the given equation we have to make the given equation as the given formula.

Let us use the completing square method for that.

y = x² + 10x + 22

Put zero instead of y.

x² + 10x + 22 = 0

x² + 10x = -22

x² + 10x + 25 = -22 + 25

( x + 5 )² = 3

( x + 5 )² -3 = 0

Therefore,

line of symmetry of the line is = -5

∴ x = -5

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

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Answer:

60

Step-by-step explanation:

Let's call the number A.

We are told that:

(2/3)A - 8 = 32

Multiply both sides by 3 and rearrange:

3*[(2/3)A - 8 = 32]

2A - 24 = 96

2A = 120

A = 60

CHECK:

Does (2/3) of 60 minus 8 equal 32?

(2/3)*(60) = 40

40 - 8 = 32

YES

The number is 60

See below for the steps to the two-way relative frequency table

The table of values is given as:                                  

Communication Gender  Male         Female    Total

Text                                   150.0           82.0      232.0

Talk                                    72.0            36.0       108.0

Social Media Apps            28.0            32.0      60.0

Total                                   250.0         150.0     400.0

Start by dividing each cell by the column total

                               Male                     Female                  Total

Text                   150.0/250 = 0.6       82.0/150 = 0.55    232/400 = 0.58

Talk                    72.0/250 = 0.288       36.0/150 = 0.24  108/400 = 0.27

Social Media Apps    28.0/250 = 0.112      32.0/150 = 0.21    60/400 = 0.15

Rewrite properly as:

                               Male                Female                  Total

Text                         0.60                0.55                        0.58

Talk                        0.288               0.24                          0.27

Social Media Apps   0.112                0.21                        0.15

Total                             1                       1                              1

The above represents the two-way relative frequency table

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Step-by-step explanation: