Write 12 ⋅ 12 ⋅ 12 ⋅ 12 ⋅ 12 ⋅ 12 ⋅ 12 ⋅ 12 ⋅ 12 in exponential form. Write your answer as: base^exponent

Answer:

x = 2

Step-by-step explanation:

5x^2 - 20x + 20 = 0

5 (x^2 - 4x + 4) = 0

x^2 - 4x + 4 = 0

x             -2

x             -2

(x - 2)(x - 2) = 0

-------------------------

x - 2 = 0

x = 2

-----------------------------

5x² - 20x + k = 0

k = - 5x² + 20x

k = - 5(2)² + 20(2)

k = -20 + 40

k = 20

Answer + Step-by-step explanation:

Consider the equation :

5x² - 20x + k = 0

∆ = b² − 4bc is the discriminant of the quadratic equation.

In our equation :

a = 5  ;  b= -20  ;  c = k

Then

∆ = (-20)² − 4×5×k

   = 20² − 20k

   = 20×(20 − k)   (Factoring)

The equation 5x² - 20x + k = 0 has exactly one real solution

if and only if  ∆ = 0.

Solving the equation ∆ = 0 :

∆ = 0

⇔ 20×(20 − k) = 0

⇔ (20 − k) = 0    (Zero product property)

⇔ k = 20

Answer:

5mph=20 hours to do 100 miles with a bicycle

10mph=10 hours to do 100 miles with a bicycle

15mph=6hours 40minutes(maybe)to do 100miles with a bicycle

20mph=5 hours to do 100miles with a bicycle

25mph=4 hours to do 100 miles with a bicycle

the faster u go the time will decrease

the slower u go the time will increase

hope that helped I didn't really understand much

Answer:

£45

Step-by-step explanation:

sum the parts of the ratio , 5 + 3 + 2 = 10 parts

divide the amount by 10 to find the value of one part of the ratio.

£150 ÷ 10 = £15 , then

3 parts = 3 × £15 = £45 ← amount Lucinda receives

The numbers arranged in a sequence will be - ∛100² < - 4.67 < - 4.25 Both Victor and Sean are correct.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Victor thinks that negative 28 / 6 Is greater than negative ∛100². Sean thinks that 17 / 4 is greater.

The value of the number negative 28 / 6 will be - 4.67.

The value of the number negative ∛100² will be - 21.54.

And the value of the number negative 17/4 will be - 4.25.

The numbers are arranged in a sequence.

- ∛100² < - 4.67 < - 4.25

Both Victor and Sean are correct.

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Answer:

find the value of 8x³-y³ if 2x-yand xy

=-1

The area of the Triangle is 7.8 cm².

The perimeter of the triangle is given to be 13cm.

As we know,

perimeter of triangle = sum of length of all sides of the triangle.

13cm = 4cm + 5cm + third side

third side = 4cm.

Hence two side of the triangle are equal to 4cm. We can say that this is an isosceles triangle, with the base length as 5cm and the other two equal sides of length 4cm.

Let say the base length is B and the other sides length is A.

So area of the isosceles triangle can be given by,

Area = 1/2 x B x √(A²-B²/4)

Area = 1/2 x 5 x √(4²-5²/4)

Area = 1/2 x 5 x √(16 - 25/4)

Area = 1/2 x 5 x 3.12

Area = 7.8 cm².

The area of the triangle is 7.8cm².

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The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.

According to the statement

We have to find that the value of the given expression.

So, For this purpose, we know that the

Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations

From the given information:

-5y^2 +50y - 105

Now to find the value of this

Rearrange the expression by taking the common values from this.

then

-5y^2 +50y - 105 = 0

-5y^2 +50y - 105 = 0

5(-y^2 +10y - 21) = 0

5(-y^2 +10y - 21) = 0

5(y^2 - 10y + 21) = 0

Now make factors of it then

5(y^2 - 7y - 3y + 21) = 0

5(y (y -7) -3(y-7)) = 0

5(y-3) (y-7) = 0

So, The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.

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The equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.

First of all let's write the slope-intercept form of the equation of a line, which is:

y=mx+b

where m is the slope and b is y intercept.

So we just need to find  m and b to solve this problem.

Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:

m=-12

Negative slope because Amir is descending. So:

y=-12x+b

To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0
). Therefore, substituting this point into our equation:

y=-12x+b

0=12(30)+b

0=-360+b

b=360

Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:

y=-12x+360.

Therefore  the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.

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The value of 2 in 2783 is 10 times the value of 2 in 7238

Place value of a number can be defined as the position of each digit in a number.

It is the value represented by a digit in a number on the basis of its position.

It is also known as system in which the position of a digit in a number determines its value.

Example:

The place value of 5 in 3500 is 500

The place value of 2 in 3240 is 200

Given the values:

2783 and 7283

The place value of 2 in 2783 is 2000

The place value of 2 in 7283 is 200

Find the quotient, we have:

= 2000/ 200

= 10

The value of 2 in 2783 is 10 times the value of 2 in 7238

Thus, the value of 2 in 2783 is 10 times the value of 2 in 7238

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Answer:

y = 4/3x - 5

Step-by-step explanation:

y-intercept will be (0,-5)

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

m = (-5 -7)/(0 - 9) = (-12)/(-9) = 4/3

Using m = 4/3, y = 7, x = 9

y = mx + b

7 = 4/3(9) + b

7 = 12 + b

b = -5

so

y = 4/3x - 5

Answer:

they all can't be divided

Answer:

x - 17.95 = 71.80

Use the commutative property of addition

71.80 + 17.95 = 89.75

$89.75 was the original price.

Step-by-step explanation:

Hope it helps! =D

Answer:

nwm zycze powodzenia kolego drogi

There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.

This is further explained below.

Generally,  the equation for Binomial probability distribution is  mathematically given as

[tex]P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x}[/tex]

Therefore

P(X=0)

[tex]\begin{aligned}&P(X=x)=C_{n, x} \cdot p^x \cdot(1-p)^{n-x} \\&P(X=0)=C_{5,0} \cdot(0 \cdot 27)^0 \cdot(0.73)^5=0.2073\end{aligned}$$[/tex]

In conclusion, There is a 0.2073 = 20.73% chance that none of the adults that were chosen would state that they were underage when they got their first tattoo.

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Answer:

y = x/7 + 31/7

or 7y = x + 31

Step-by-step explanation:

The slopes of two perpendicular lines are negative reciprocals of each other so slope will be 1/7

m = 1/7, y = -4, x = 3

y = mx + b

-4 = 1/7(3) + b

b = 3/7 + 4

b = 3/7 + 28/7

b = 31/7

so

y = x/7 + 31/7

or 7y = x + 31

Answer:

Step-by-step explanation:

Answer:

80,000 A

Step-by-step explanation:

it is under 85000 so it is rounding down to 80,000

Answer:

Option 3

Step-by-step explanation:

When y is positive, there is always increase.

When y is negative, there is always decrease.

Answer:

hi hhhhhhdhwjwheheheuhehegdhue

Answer:

150 student now school gema plyar

Answer:

[tex] \sqrt[2]{?5} x25 \geqslant 6 - 9 + 88 = 2[/tex]

Answer:

f^-1(x)=(3/4)x

Answer:

[tex] \large{ \boxed{ \star{ \tt \: answer : 14 \: units}}}[/tex]

Please see the attached picture for full solution!

-------- HappY LearninG <3 -----

Answer:

Step-by-step explanation:

Solve parts of equation in order:

Brackets

Indices

Division

Multiplication

Addition

Subtraction

8 + 2 x 7 - 9 = 63

8 + (2 x 7) - 9  not = 63   (multiplication is the first thing that applies to this equation)

(8 + 14) - 9  not = 63

22 - 9 = 13

So the error would be it equals 13 not 63

Answer:

9 is supposed to be 7

Step-by-step explanation:

8 + 2 = 10

10 × 7 = 70

70 - 7 = 63

The equation of the line passing through points (-3,0) and (0,3) is y=x+3.

The equation of the line passing through two points (x₁,y₁) and (x₂,y₂) can be calculated using the formula y-y₁=m(x-x₁)   ,  where m denotes the slope of the line .

from the given graph we can find that the line passes through the two points (-3,0) and (0,3)

we get the values , as x₁=-3 , x₂=0 and y₁=0 , y₂=3 .

Slope of the line can be calculated by using the formula ,

m=(y₂-y₁)/(x₂-x₁)

Substituting the values we get ,

m = (3-0)/(0+3)

m=3/3 = 1

Now substituting the values of x₁, x₂, y₁, y₂ and m in the formula of equation of line we get ,

y-0=1(x-(-3))

y-0=1(x+3)

y-0=x+3

y=x+3

Therefore , the equation of the line passing through points (-3,0) and (0,3) is y=x+3.

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Answer:

The answer is the bottom right diagram.

Step-by-step explanation:

I don't know if u want this but ya :)

Solution:

Let f(x) = (x+3)^(1/3).

First, we have

lim_(x → -3) f(x) = (-3+3)^(1/3) = 0 = f(-3)

So f(x) is continuous at a = -3.

Next we have

lim_(h → 0) [f(-3+h) - f(-3)] / h

= lim_(h → 0) h^(1/3) / h

= lim_(h → 0) 1 / h^(2/3)

= infty

Since the limit does not exist, f(x) is not differentiable at a = -3.

Answer: D

3.5 * [tex]10^{9}[/tex] WATTS IS THE TOTAL OUTPUT OF THE STAR

Electrical power is the rate at which electrical energy transforms into another form, such as motion, heat, or an electromagnetic field. The capital P is frequently employed as a symbol representing authority. The universal unit is the watt, which is represented by the letter W. Utility circuits typically have a kilowatt (kW) indication, which is 1000 W.

Summarized Version:

1-The values of the solar constants were imparted to us by our planet, the first object in our solar system.

2-We therefore know the value of the solar constant for the given solar system, which consists of a planet and the star it orbits.

3-Therefore, if you assume that the orbit is circular, the radius of the orbit will be determined by multiplying the value of the solar constant by 10 to the power 11 m and the radius.

4-We can therefore state that the star's power output is simply equal to the solar constant times the orbit's area.

5-What. So, this is the star's power output for the particular solar system.

The second part of the inquiry now asks what the solar constant will be if the distance between the planet and the star is reduced to 75,000,000 km.

6-We also need to determine what the new solar constant for the solar system will be.

So, in this case, power is equal to area times the solar constant once more.

The solar constant, multiplied by four, multiplied by 3.14, multiplied by are here is 75 multiplied by 10 to the power nine full square, giving us 25.12 multiplied by 10 to the power 25, which is equivalent to that.

We can calculate the value of the solar constant as follows: 25.12 multiplied by 10 to the power of 25 split by four; 3.14 multiplied by 75 square; and 10 multiplied by10.

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Answer:

Step-by-step explanation: