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Answer:

circumference is 40.84 and the area is 132.73

Step-by-step explanation:

Answer:

The multiplicative inverse is equal to v(x), but the additive inverse is not.

Step-by-step explanation:

The multiplicative inverse is equals to v(x) but the additive inverse is not.

Additive inverse is a number which on getting added to the original number results in zero.

For example, 5 - 5 = 0

⇒ -5 is the additive inverse of 5.

Multiplicative inverse of a number is a value which when multiplied by the original number results in 1.

For example

[tex]5 (\frac{1}{5} )= 1[/tex]

⇒ [tex]\frac{1}{5}[/tex] is the multiplicative inverse of 5.

According to the given question.

We have a function

v(x) = 1

Let the additive inverse of 1 is x.

⇒ 1 + x = 0

⇒ x = -1.

Hence, the additive inverse of 1 is -1.

Let the multiplicative inverse of 1 is y.

⇒ 1 × y = 1

⇒ y = 1/1

⇒ y = 1

Hence, the multiplicative inverse of 1 is 1.

From the above calculation we can see that, the multiplicative inverse is equals to v(x) but the additive inverse is not.

Thus last option is correct.

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Answer: a=2 b= 11/6 or 1  5/6

Step-by-step explanation:

Answer:

Distance AB is 18.79 units

Step-by-step explanation:

Given two points with coordinates as:

A= (-4,7)

B= (-12, -10)

To find:

Distance AB = ?

Solution:

To find the distance between two points with given coordinates, we can use Distance formula.

Distance formula  is given as:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the two coordinates whose distance is to be find out.

[tex]x_1 = -4\\y_1 = 7\\x_2 = -12\\y_2 = -10[/tex]

[tex]AB = \sqrt{(-12-(-4))^2+(-10-7)^2}\\\Rightarrow AB = \sqrt{(-8)^2+(-17)^2}\\\Rightarrow AB = \sqrt{64+289}\\\Rightarrow AB = \sqrt{353}\\\Rightarrow \bold{AB = 18.79\ units }[/tex]

Distance AB is 18.79 units

Answer:

AB = 18.8 units

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane.

distance between those two points = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]

given points are

A= (-4,7)

B= (-12, -10)

[tex]AB = \sqrt{(-4 -(-12))^{2} + (7-(-10))^{2} }\\AB = \sqrt{(-4 +12)^{2} + (7+10)^{2} }\\AB = \sqrt{(8)^{2} + (17)^{2} }\\AB = \sqrt{64 + 289 }\\AB = \sqrt{353 }\\AB = 18.79[/tex]

Thus, length of AB is 18.79 units

since, value of hudredth of unit is 9 which is greater than 9 then rounding the value to nearest tenth of unit we increase the value at tenth of unit place by that is 7 becomes 8

length of AB  to the nearest tenth of a unit is 18.9 units

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{14x - 6}}}}}[/tex]

Step-by-step explanation:

Given,

Length of a rectangle ( l ) = 6x - 2

Width of a rectangle ( w ) = x - 1

Perimeter of a rectangle ( P ) = ?

Finding the expressions that represents the perimeter of the rectangle

[tex] \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}[/tex]

⇒[tex] \sf{2(6x - 2 + x - 1)}[/tex]

Collect like terms

⇒[tex] \sf{2(7x - 2 - 1)}[/tex]

Calculate

⇒[tex] \sf{2(7x - 3)}[/tex]

Distribute 2 through the parentheses

⇒[tex] \sf{14x - 6}[/tex]

Hope I helped!

Best regards!!

Answer:

Hey there!

A rational number is any number that can be expressed as a fraction.

Hope this helps :)

Answer:

D.

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). A rational number comes to an end at some point, even if the end is long, it will eventually stop.

3b^3+2b^2+13b+14

Just add like terms

If u have any questions just ask

Answer:

La pregunta no está completa. Explicaré las propiedades de funcionamiento de los números racionales.

Explanation:

Las principales propiedades de los números racionales son:

- Propiedad de cierre

- Propiedad de conmutatividad

- Propiedad asociativa

- Propiedad distributiva

La propiedad de cierre establece que para dos números racionales cualesquiera xey, x + y, x-y, x * y, y x / y también será un número racional.

La propiedad de conmutatividad establece que para dos números racionales cualesquiera xey, x + y = x + y; x - y ≠ y - x; x * y = y * x; x / y ≠ y / x.

La propiedad asociativa establece que para cualesquiera tres números racionales dados x, y y z, (x + y) + zyx + (y + z) son iguales.

La propiedad distributiva establece que para tres números cualesquiera x, y y z, x × (y + z) = (x × y) + (x × z).

Answer:

First you have to make the values equal....

which is 2^(x-4)=2a^2(x-6).

then since 2 are equal and its x we are looking for.

x-4=2x-12.

x-2x=-12+4.

-x=-8.

x=8.

Answer:

The tank can hold  4423.36 feet³ of water.

Step-by-step explanation:

Given that,

Height = 22 feet

Diameter = 16 feet

We need to calculate the maximum amount of water

Using formula of volume

[tex]V=\pi r^2h[/tex]

Where, h = height of cylinder

r = radius of cylinder

Put the value into the formula

[tex]V=\pi\times(8)^2\times 22[/tex]

[tex]V= 4423.36\ feet^3[/tex]

Hence, The tank can hold  4423.36 feet³ of water.

Answer:

462 pounds

Step-by-step explanation:

weighs 42 pounds

    and the water 11 times more

 so, 42*11 = 462 pounds

x > 5

x ∈ [ 5 ; + oo )

–6x + 15 < 10 – 5x

15 - 10 < 6x - 5x

5 < x

x > 5

x ∈ [ 5 ; + oo )

Answer: x>5

Step-by-step explanation:

Given

-6x+15<10-5x

Add 6x on both sides (Addition property of equality)

-6x+15+6x<10-5x+6x

15<10+x

Subtract 10 on both sides (Subtraction property of equality)

15-10<10+x-10

5<x

x>5

Hope this helps!! :)

Please let me know if you have any question

Answer: Simon has a higher chance of winning

Step-by-step explanation: The possibility of Smith winning is 16/52 and the possibility of Simon pulling an even card is 20/52.

(20/52 is more than 16/52)

Answer:

Simon has a higher chance of winning

Step-by-step explanation:

Answer: 37.07

because 35.7+1.37 is 37.07

-10x+38

Let's simplify step-by-step.

- 2(x – 3) +40-2r + 8)

Distribute:

= (-2)(x) + (-2)(-3) + (4)(-2x) + (4)(8)

= -2x + 6+ - 8x + 32

Combine Like Terms:

= -2x + 6 + - 8x + 32

= (-2x + - 8x) + (6 + 32)

-10x + 38

The simplified form of the algebraic expression  -2(x-3)+4(-2x+8) is -10x+38.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given algebraic expression -2(x-3)+4(-2x+8), when simplified it can be written as,

[tex]-2(x -3) + 4(-2 x + 8)\\\\=-2x +6-8x+32\\\\=-10x+38[/tex]

Hence, the simplified form of the algebraic expression -2(x-3)+4(-2x+8) is -10x+38.

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Answer:

D

Step-by-step explanation:

HOLY GOD

TSUKIIIIIIII.  

I LOVE U TSUKIII

Answer:

Point

Step-by-step explanation:

This is the definition of a point.

A "point" is a fixed position in space and has no dimensions or size.

Cheers.

Answer:

A point is a fixed position in space and has no dimensions or size.

Step-by-step explanation:

2(d-t)=4t +7

open the bracket

2d - 2t =4t +7

collect like terms

2d-7=4t +2t

2d-7=6t

divide both sides by 6

2d-t/6=6t/6

T=2d-t/6

Answer:

t = (2d-7)/6

Step-by-step explanation:

2(d – t) = 4t + 7

Distribute

2d-2t=4t+7

Add 2t to each side

2d-2t+2t=4t+2t+7

2d = 6t+7

Subtract 7 from each side

2d-7 = 6t

Divide by 6

(2d-7)/6 = t

Answer:

8.46

Step-by-step explanation:

Answer:

8.46

Step-by-step explanation:

6+0 =6

3+1=4

4+4=8

No carryovers

Answer:

-0.375

Step-by-step explanation:

you just divide the numbers.

Answer:

250

Step-by-step explanation:

I looked up s=d/t calculator and it is the calculator soup link

Answer:

Overtime hours = [h - 40] hours

Step-by-step explanation:

Given:

Weekly hour work = 40 hours per week

Total hour work = h hours

Find:

Overtime hours

Computation:

Overtime hours = Total hour work - Weekly hour work

Overtime hours = [h - 40] hours

Answer:

It means multiply the 2 numbers.

Step-by-step explanation:

(316)(18) means 316 * 18

= 5688.

The outcome of the given expression is 5724

The given expression:

(316)(18)

To find:

the outcome of the expression:

The outcome of the given expression is obtained by multiplying them out.

[tex](318)(18) = 318 \times 18 = 10(318) + 8(318) = 3180 + 2544 = 5724[/tex]

Thus, the outcome of the given expression is 5724

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Answer:

1.2

Step-by-step explanation:

[tex]s/1.5 = .8\\s = 1.5 * .8\\s = 1.5 *4/5\\s = 6 /5\\s=1.2[/tex]

Answer:

D

Step-by-step explanation:

Associative property states that the sum of three or more numbers stays the same no matter how the numbers are grouped.

A is not correct because it is multiplication not addition and it asked for addition

Answer:

-2/3

Step-by-step explanation:

To find the slope, pick two points on the line, and use the slope formula

( 0,50) and  (30,30)

m = ( y2-y1)/(x2-x1)

   = (30-50)/(30-0)

    = -20/30

   = -2/3

Answer:

m = -2/3

Step-by-step explanation:

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

Step 1: Find 2 coordinates

(0, 50)

(60, 10)

Step 2: Plug into formula

m = (10 - 50)/(60 - 0)

m = -40/60

m = -4/6

m = -2/3

Answer:

2

Step-by-step explanation:

Answer:

[tex]-\sqrt{14} < c < \sqrt{14}[/tex]

Step-by-step explanation:

For the function to have a domain of all reals, the denominator cannot have a value of zero. x^2 + 2cx + 14 will not have zero as a root if it has no real solutions. A quadratic equation has no solutions when the discriminant is negative.

b^2 - 4ac < 0

(2c)^2 - 4(1)(14) < 0

4c^2 - 56 < 0

4c^2 < 56

c^2 < 14

[tex]-\sqrt{14} < c < \sqrt{14}[/tex]

The domain of the function, f(x) = (x + 7) / (x^2 + 2cx + 14) is the set of all real numbers for the value of c as  [tex]-\sqrt{14} < c < \sqrt{14}[/tex] .

Domain of a function are the values that a function can take that is the set of all possible inputs.

Given the following function:

[tex]f(x)=\dfrac{x+7}{x^2+2cx+14}[/tex]

For the real number domain of the given function, the denominator must be a non-zero term. Because, if the denominator is zero then the function will result in an undefined number which does not lie in the real number domain.  

For denominator to be non zero, we have to find the value of x which is not the solution of the equation of denominator.

x²+2cx+14≠0

Such value of x can be determined using discriminant.

d<0, then no real solution exists.

d=b²-4ac

Here a=1, b=2c, c=14

d=4c²-4x14

d=4c²-56

d<0

4c²-56<0

4c²<56

c²<14

[tex]-\sqrt{14} < c < \sqrt{14}[/tex]

Thus,  [tex]-\sqrt{14} < c < \sqrt{14}[/tex] is such that the domain of the function is the set of all real numbers.

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Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

The interest earned in one year = $1640

Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

Answer:

$8,000 at 10%

$12,000 at 7%

Step-by-step explanation:

Let the part invested at 10% = x

Let the part invested at 7% = $20,000 - x

7% = 0.07

10% = 0.10

Hank invested a total of $20,000, part at 7%

0.07(20000 - x)

And part at 10%

0.10(x)

Hence, we have:

0.10x + 0.07(20000 - x) = 1640

0.10x + 1400 - 0.07x = 1640

0.10x - 0.07x = 1640 - 1400

0.03x = 240

x = 240/0.03

x = 8000

Hence, the amount he invested at 10% = $8,000

The amount he invested at 7% =

$20,000 - x

= $20,000 - $8,000

= $12,000