Someone please help me! Ik its Sunday but i got sick so i couldnt do it over the weekend

The new exponent for the power of 10 after rewriting the number correctly in scientific notation would be 1.45 × 10^7

The number is written in the form  [tex]a \times 10^b[/tex]where we have  [tex]1 \leq a < 10[/tex]

The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10. We can for a time, ignore the value of 'a' for two comparable quantities and only compare their orders(this type of comparison is useful when difference is too big, like size of human to size of a star etc sort of comparisons).

The scientific notation is value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.

We have been given that number below is not correctly written in scientific notation.

145 × 10⁵

Therefore, new exponent would be 1.45 × 10^7

Hence, The new exponent for the power of 10 after rewriting the number correctly in scientific notation would be 1.45 × 10^7

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The problem is on indices. Write 36 in form of its prime factors. Apply the power rule (a^m)^(1/n)=a^(m/n).

36^(1/2)

(6^2)^(1/2) = 6^(2×1/2) = 6

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43.75 divided by 7 is 6.25, thus your answer is 6.25 hours

Answer:

angle 5 is vertical to 2

Step-by-step explanation:

Vertical angles are pair angles formed when two lines intersect.

Answer: <5

Step-by-step explanation:

Answer: x=-1, y=2

Step-by-step explanation:

4x + 5y = 6

6x - 7y = -20

(4x + 5y = 6)*1.5

6x + 7.5y = 9

6x - 7y = -20

7.5y-(-7y)=9-(-20)

7.5y+7y=9+20

14.5y=29

y=2

4x + 5y = 6

4x + 5(2) = 6

4x+10=6

4x=-4

x=-1

Answer:

35%

Step-by-step explanation:

Decrease in Volume= 4ml-2.6ml

=1.4ml

Percentage Decrease= 1.4/4 x 100

=35%

The  equation in logarithmic form is log base (1/2) of (4) = -2

Given the equation is:

4= (1/2)⁻²

The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).

Convert the exponential equation to a logarithmic equation using the logarithm base (10)of the right side (0.01) equals the exponent (−2).

A popular method for changing a mathematical equation from one form to another is to transform it from exponential to log form. The exponential form an x = N is translated into the logarithmic form.

Log aⁿ= x.The exponent of x, which is equal to N, has the exponential form a to it is converted to the logarithm of a number N to the base of a, which is equal to x.

log base (1/2) of (4) = -2

log₁/₂ (4) = ₋2

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The measurement of angle A and B is 44° and 46° respectively.

What are complementary angles ?

When the sum of two angle is 90 degree it is known as complementary angles and when a line divides the line than the sum of angles formed with the given straight line is always equals to 90 degree.

It is given that the angle A and B are complementary angles whose measurements are :

∠A = (6x + 2)°

and , ∠B = (4x + 18)°

The sum of angle A and B will be 90 degree as they are complementary angles that is :

∠A + ∠B = 90°

Now, solving by adding like terms and finding the value of x :

6x +2 + 4x + 18 = 90°

10x + 20 = 90°

10x = 90-20

10x = 70°

x = 7°

now, the measurement of angle A will be :

∠A = (6x + 2)°

∠A = (6 · 7 + 2)°

∠A = (42 + 2)°

∠A = 44°  and  ∠B = 46°

Therefore, the measurement of angle A and B is 44° and 46° respectively.

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the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.

We are given the two equations:

y = - x - 4

- 7 x + 8 y = 16

We need to solve these equations by substitution.

We will substitute the equation 1 in the equation 2 to get the values of x and y:

- 7 x + 8 y = 16

- 7 x + 8 (- x - 4) = 16

- 7 x - 8 x - 32 = 16

- 15 x = 16 + 32

- 15 x = 48

Divide both sides by - 15, we get that:

x = 48 / - 15

x = - 16 / 5

y = - x - 4

Put the value of x

y = 16 / 5 - 4

y = 16 - 20  / 5

Subtract to get the value:

y = - 4 / 5

Therefore, we get that, the equations y = - x - 4 and - 7 x + 8 y = 16 have the solution as x = - 16 / 5 and y = - 4 / 5.

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With an inverse relationship, when the pressure is increased to 400 kPa, the volume will be 0.5L, assuming that the temperature and number of particles are constant.

Boyle's Law states the inverse relationship between volume and pressure. It states that a constant amount of gas at a constant temperature, decreasing the volume will increase its pressure, and increasing its volume will decrease its pressure.

V = k/P or P1V1 = P2V2

where V = volume

P = pressure

If a gas has a volume of 1 L at a pressure of 200 kPa, and assuming that the temperature and number of particles are constant, using the inverse relationship, solve for the volume of the gas at a pressure of 400 kPa.

P1V1 = P2V2

200 kPa(1L) = 400 kPa(V2)

V2 = 200/400

V2 = 0.5 L

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Answer:

1/4

Step-by-step explanation:

Blue/total x blue/total

6/12 x 6/12 Which is the same as

1/2 x /12 = 1/4

The answer is 5.

When a liquid silver is poured into a mold and cools down to become a solid bar is a transition in which the liquid phase is converted into a solid phase which is termed solidification represented by arrow number 5.

Whereas other arrows represent:

Arrow 1 represents the vaporization process where the liquid state changes to a gaseous state.

Arrow 2 represents the Fusion process where the solid-state changes to a liquid state.

Arrow 3 represents the sublimation process where the solid-state changes to a gaseous state by escaping the liquid state.

Arrow 4 represents the condensation process where the gaseous state changes to a liquid state.

Arrow 6 represents the deposition process where the gaseous state changes to a solid state by escaping the liquid state.

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Using the De Morgan's Law, the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q)

The expression is given as

∼p ∨ ∼q

The above expression is a logical expression

The De Morgan's Law of logical expression states that

∼x ∨ ∼y = ∼(x ∧ y)

Next, we replace the variables x and y with the given variables in the question

So, we have

∼p ∨ ∼q = ∼(p ∧ q)

The above implies that the equivalent logical expression of the statement ∼p ∨ ∼q is ∼(p ∧ q) using the De Morgan's Law

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Answer:

624,062.58 is your answer :)

Step-by-step explanation:

The solution for given equation is 196 and there are no extraneous solutions.

Extraneous solutions refer to the solution, which on being placed in the equation, does not make Left Hand Side and Right Hand Side equal.

Rewriting the equation and solving it by addition or subtraction of values on both sides as per the requirement -

✓4x - 23 - 3 = 2

Adding 3 on both sides of the equation

✓4x - 23 - 3 + 3 = 2 + 3

✓4x - 23 = 5

Adding 23 on both sides of the Equation

✓4x - 23 + 23 = 5 + 23

✓4x = 28

Taking square on both sides

(√4x)² = 28²

4x = 784

Shifting 4 to Right Hand Side

x = 784 ÷ 4

Performing division

x = 196

Keep the value of x in equation to find it it is extraneous or not -

✓(4 × 196) - 23 - 3 = 2

✓784 - 23 - 3 = 2

28 - 23 - 3 = 2

25 - 3 = 2

2 = 2

Since RHS and LHS are equal, there is no extraneous solution for the given equation.

Hence, the solution for given equation is 196 and there are no extraneous solutions.

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Answer: -3x+4=2 is the new equation x= 2/3

Step-by-step explanation: brainliest?

Answer:

B = -1189/40

C = -13/18

Step-by-step explanation:

use your calculator to solve

and use the BODMAS method to help solve

The product of √5(√5) is 5.

To find : the product of √5(√5).

This question can be easily solved using the concept of square root. It can be solved in a few simple steps

Step 1 : Check the power of roots for each term

Both the terms are √5

Since  both the numbers have the same root power they can be combined under the same sqaure root for further operation

=> √ ( 5 x 5 )

=> √ 25

It can also be written as √ 5²

square root can also be mentioned as number raised to 1/2

If we solve the powers of 5 => 1/2 x 2 = 1

=> √ 25 = √ 5² = 5

Therefore, we get the product of √5(√5) as 5.

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Answer:

Since the simplest form of the fraction 20/50 is 2/5, the simplest form of the ratio 20:50 is also 2:5.

When the cell phone plan cost thirty dollars for each line, the function is C = 30x.

It should be noted that a function is used to show the relationship that exists between the variables that are given.

In this situation, the cell phone plan cost thirty dollars for each line.

Let each line be represented by x.

Therefore, the cost for the number of likes will be:

C = 30 × x

C = 30x

Therefore, the function is illustrated.

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The result of simplifying each number  x²/₇ . x³/₁₄  using the exponent rules is [tex]\sqrt{}[/tex]x

To solve this exercise we have to resolve algebraic operations following the exponent rules.

(x²/₇) * (x³/₁₄)

Base= x

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

(x) ⁽²/₇ ⁺ ³/₁₄⁾

(x) ⁽⁴⁺³⁾/₁₄

(x) ⁽⁷/¹⁴⁾

(x) ⁽¹/²⁾

As we have a fractional exponent, you must convert the exponent to root:

[tex]\sqrt{}[/tex]x

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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A solution that is real in its nature is called the real solution of that equation.

X + 5 = 0

We can solve the above equation as,

X + 5 = 0

X = -5

Now, if we plug the value of X into the equation,

X + 5 = 0

-5 + 5 = 0

0 = 0

The solution is real and is true for this equation.

While the solution of an algebraic expression solution is imaginary if it is the square root of a negative number. It involves the imaginary unit iota.

The complete solution of the expression is given below in the picture.

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The radius of the Earth, approximately equal to the radius of the globe raised to the 10th power, is 250,562,113.2 inches.

First, solve for the radius of the desktop world globe using the formula for the volume of a sphere given by:

V = 4/3 π r^3

If the desktop world globe has a volume of about 1386 cubic inches, then

1386 cubic inches = 4/3 π r^3

r = 6.916582163 inches

Next, solving for the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power.

Exponent, or power, is the small number written at the upper right of a constant or variable that tells how many times that constant or variable should be multiplied to itself.

If the radius of the Earth if it is approximately equal to the radius of the globe raised to the 10th power, then

r of Earth = r of globe ^10

r = 6.916582163^10

r = 250,562,113.2 inches

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Answer:

0.25

Step-by-step explanation:

All i did was divided 3 by 12

Write out the decimal expansion of each number:

[tex]212_x \equiv 2x^2 + x + 2[/tex]

[tex]122_x \equiv  x^2 + 2x + 2[/tex]

[tex]1111_x \equiv x^3 + x^2 + x + 1[/tex]

Note that [tex]x[/tex] must be greater than 2. Solve for [tex]x[/tex].

[tex]212_x + 122_x = 1111_x \iff (2x^2 + x + 2) + (x^2 + 2x + 2) = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies 3x^2 + 3x + 4 = x^3 + x^2 + x + 1 \\\\ ~~~~ \implies x^3 - 2x^2 - 2x - 3 = 0 \\\\ ~~~~ \implies (x^3 - 3x^2) + (x^2 - 3x) + x - 3 = 0 \\\\ ~~~~ \implies x^2(x-3) + x(x-3) + (x-3) = 0 \\\\ ~~~~ \implies (x-3) (x^2+x+1) = 0 \\\\ ~~~~ \implies \boxed{x=3}[/tex]

Lose $13.16

Here, we want to calculate the probability that we would win. The probability of winning is =

( No. of slots that win/ total no. of slots.)

For each individual spin, there  are two possible outcomes:

- There is a 1 in 38 chance of winning $175.

- There is a 37 in 38 chance of losing $5.

The expected value for each spin is the sum of the products of each outcome by their respective probability.

expected value =E1×P1 + E2×p2

175×1/38 + (-5) × 37/38

175/38 - 185/38

-10/38

In 50 spins, the expected value is:

E(50) = 50 × (-10/38)

E(50) =  - $13.16

expect to lose $13.16 if you spin the wheel 50 times.

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Answer:

58.32

Step-by-step explanation:

100÷12.5=8, 7.29×8=58.32.