What is the final amount if 731 is increased by 7% followed by a 4% decrease? Give your answer rounded to 2 DP.

The value of absolute value expression is equal to 133. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The absolute value or modulus of a real number x abbreviated |x| in mathematics, is the non-negative value of x regardless of its sign.

The absolute value of the function will be calculated as,

E =  |−152| + |5| − |−24|

E = 152 + 5 - 24

E = 133

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Las comparaciones correctas son (c) ( 1/12 ) > ( 1/100 ) y (d) ( 1/4 ) > ( 1/6 ).

Considere las comparaciones,

Para la opción (a),

( 1/8 ) > ( 1/2 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/8 ) = 0.125 y;

( 1/2 ) = 0.5

Por lo tanto, ( 1/2 ) > ( 1/8 )

Por lo tanto, esta opción es incorrecta.

Para la opción (b),

( 1/3 ) < ( 1/5 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/3 ) = 0.333 y;

( 1/5 ) = 0.2

Por lo tanto, ( 1/3 ) > ( 1/5 )

Por lo tanto, testa opción es incorrecta.

Para la opción (c),

( 1/12 ) > ( 1/100)

Ahora, encuentre el valor de cada término en forma decimal.

( 1/12 ) = 0.0833 y;

( 1/100 ) = 0.01

Por lo tanto, ( 1/12 ) > ( 1/100 )

Por lo tanto, esta opción es incorrecta.

Para la opción (d),

( 1/4 ) > ( 1/6 )

Ahora, encuentre el valor de cada término en forma decimal.

( 1/4 ) = 0.25 y;

( 1/6 ) = 0.1666

Por lo tanto, ( 1/4 ) > ( 1/6 )

Por lo tanto, esta opción es correcta.

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Answer: 128/15 min or 8.5 min

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6y = -24

y = -24/6

y = -4

I guess is the answer

Answer:

-10

Step-by-step explanation:

20-34=-14, 8/2 is just 4, so add 4 to -14 which = -10

Answer Step by Step

A. 2(6) - 5(-4) =

(12) - (-20) = 32

negative times negative equals positive

B. 4(-8) - 3(-4)

-32 - (-12) = -20

C. 3(-8) - 4 / (-4) =

(-28) / (-4) = 7

D. -4 - 3(6) / 3 - 5

(-22) / (-2) = -11

Answer: y=5x+ 10

Step-by-step explanation:

40-30/6-4=10/2=5

each time x moves 1 it moves 5 vertically so

4, 30

3, 25

2, 20

1, 15

0, 10

Answer: C. The lines intersect but are not perpendicular.

Step-by-step explanation:

The correct option is C, the lines intersect but are not perpendicular.

To determine which statement is true about the two lines whose equations are given below:

y = 3x + 2

y = -4x + 9

We can compare the slopes of the two lines. The slopes of these lines are 3 and -4 respectively.

Two lines are parallel if and only if their slopes are equal. Since the slopes of these lines are not equal, we can eliminate options A.

Two lines are perpendicular if and only if the product of their slopes is -1. The product of the slopes of these lines is -12, which is not equal to -1. Hence, we can eliminate options B.

Since the lines are neither parallel nor perpendicular, they intersect. To determine whether they intersect perpendicularly, we can compute the angle between them using the slopes.

The angle between two lines is given by the formula:

[tex]tan \theta = \dfrac{(m_2 - m_1)}{ (1 + m_1m+_2)}[/tex]

where m₁ and m₂ are the slopes of the two lines.

Substituting the slopes of the given lines, we get:

[tex]tan \theta = \dfrac{|(-4 - 3)} { (1 + (3 \times -4))|} \\[/tex]

tanθ = 7 / 11

Therefore, the correct option is C: the lines intersect but are not perpendicular.

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The missing equation of lines are:

y = 3x + 2

y = -4x + 9

Answer:

38.24

Step-by-step explanation:

You need to do 45.3-7.06 and you get x

compare the line y=8x-9 to y=mx+b where m is a slope and b is y-intercept

so, the line y=8x-9 has a slope m=8

by definition, the slope of a line parallel to this line will be same, m=8

by definition, the slopes of perpendicular lines are negative reciprocals to each other; so, m = -1/8

The length of the hypotenuse is 5.426 meter

Let the two shorter sides of the right angles triangle be denoted as x meters.

The formula for the area of right triangle is given as,

                     A = ab/2

  Where, a and b are the length of the shorter sides of the triangle

Also we have been given the area of the triangle which is 7.36 sq. meter

Thus ,    A = 7.36

             x^2/2 = 7.36

              x^2 = 14.72

                x = 3.84

Now according to the Pythagoras theorem,

   H = √P^2 + B^2

Where,  H = hypotenuse

               P = perpendicular

              B = base

Now putting the required values we get

    H = √x^2 + x^2

        = √2x^2

        = x√2

       = 5.426 meter

Hence the length of the hypotenuse is 5.426 meter

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Answer:

After 3 hours there is left 22.5 grams of radioactive material.

Step-by-step explanation:

We can calculate the mass of radioactive material remaining after 3 hours, by using the decay equation:           

[tex]N_{t} = N_{0}*e^{-\lambda t}[/tex]     (1)

Where:

[tex]N_{0}[/tex]: is the initial mass = 180 g

[tex]N_{t}[/tex]: is the remaining mass after time t

λ: is the decay constant

The decay constant is given by:

[tex] \lambda = \frac{ln(2)}{t_{1/2}} [/tex]

Where [tex]t_{1/2}[/tex] = 1 h.

By entering λ into equation (1) we hve:

[tex] N_{t} = N_{0}*e^{-\frac{ln(2)}{t_{1/2}} t} [/tex]

[tex] N_{t} = 180 g*e^{-\frac{ln(2)}{1 h} 3 h} = 22.5 g [/tex]

Therefore, after 3 hours there is left 22.5 grams of radioactive material.

I hope it helps you!          

The value of d is 2.

We are provided with the following equation,

4 + d = 6                                    

We are supposed to find the value of d in the above equation.

To solve the equation we need to apply basic mathematical operations. The steps that need to be followed to simply this equation are mentioned below,

4 + d = 6

To get the value of d we need to subtract 4 from both the sides of this equation. On substracting  4 from both the sides of this equation, we will get

4 + d - 4  = 6 - 4

⇒ d = 6 - 4

⇒ d = 2

Thus, the value of d in the equation 4 + d = 6 is 2.

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Let us consider,

A special [tex]8-[/tex]sided die is marked with the numbers [tex]1[/tex] to [tex]8[/tex].

The odd numbers on the die are [tex]1,3,5,7.[/tex]

The even numbers are [tex]2,4,6.[/tex]

For the experimental sequence of [tex]15[/tex] rolls.

There are [tex]9[/tex] odd number  out of 15, which is [tex](3,5,7,1)[/tex].

So the experimental  probability is,

       [tex]\frac{9}{15} =\frac{3}{5} \\\\=0.60\\[/tex]

[tex]\implies0.60=60[/tex] %

The theoretical probability given that there are odd numbers [tex](1,3,5,7)[/tex] out of [tex]8[/tex] on the dice should be [tex]50[/tex] %  because [tex]\frac{1}{2}[/tex] of the numbers are prime.

Thus,

The theoretical probability is [tex]50[/tex] % .

Then,

         [tex]60[/tex]%[tex]-50[/tex]%[tex]=10[/tex]%

Hence, the experimental probability of rolling an odd number is [tex]60[/tex]%, which is [tex]10[/tex] % more than the theoretical probability [tex]50[/tex]%.

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Answer:

60%,  10%

Step-by-step explanation:

Plato/Edmentum

Answer: 4/5

Step-by-step explanation:

80%=

100% * 80/100 =

1 * 80/100=

80/100=

8/10=4/5

Answer:

Step-by-step explanation:

1 is the answer

Answer:

1) 2,6,18,54,162,468 (multiply by 3 each time)

2) 2, -4, 8, -16, 32, -64 (i'm not sure what this is but i'm pretty confident i'm right lol)

3) 1,3,5,7,9,11 (add 2 each time)

4) 1, 2/3 , 4/6  , 8/9 ,  _ _ (i'm sorry i tried my hardest but i don't know this one)

Step-by-step explanation:

hope this helped! so sorry about 4...

Answer:

m=-1/2 or m=-2/4

Step-by-step explanation:

The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]

Given :

The graph of a line . To find out the slope or rate of change , we pick two points on the line.

Two points are (-8,2) and (4,-4)

Lets apply slope formula

[tex]Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]

(-8,2) is (x1,y1)  

(4,-4) is (x2,y2)

Substitute all the values inside the formula

[tex]Slope = \frac{y_2-y_1}{x_2-x_1}\\slope =\frac{-4-2}{4+8} =\frac{-6}{12} =-\frac{-2}{4} =-\frac{1}{2}[/tex]

The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]

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Answer:

FG = 3

Step-by-step explanation:

let me know if you are still confused!

Answer:

6.5

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

Answer:

r = 14

Step-by-step explanation:

r = -5 + 19

Simplify the right side by subtracting 5 from 19

r = 14

Answer:

lol ok

Step-by-step explanation:

Answer:

ok Y?

Step-by-step explanation:

Answer:

The volume of cylinder is 58.2 cm³.

Step-by-step explanation:

The formula of volume of cylinder is :

[tex]v = \pi \times {r}^{2} \times h[/tex]

So, you have to substitute the values into the expressions :

[tex]let \: r = 2.1,h = 4.2[/tex]

[tex]v = \pi \times {2.1}^{2} \times 4.2[/tex]

[tex]v = 58.2 \: {cm}^{3} \: (3sf)[/tex]

Answer:

$9 per hour

Step-by-step explanation:

31.50/3.5 = 3150/350 = 630/70 = 63/7 = 9

Hope this helps!      :3

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