Find the value of e4.243 to the nearest ten thousandth.​

The decimal fraction as a decimal number.14,25

What is decimal?

The base-10 number system, arguably the most widely used number system, is referred to as decimal. The 10 single-digit digits of the decimal number system are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. The number following nine is 10. 19 is followed by 20, and so on.

The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.

14 25/100= 14*100+25/100=

1400+25/ 100

= 1425/100

= 14.25

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He started out with 47 balls after winning 2 blue balls and losing 3 red balls.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation. Equal treatment should be given to each party.

Here,

Let the number of blue balls be x and the number of red balls be y,

after 5 days ,

x + 10 = y - 15      

after 9 days ,

x + 18 = 2 * ( y - 27 )  

subtracting both,

8 = y - 39

y = 47

The number of red balls in beginning is 47.

He had 47 balls in the beginning as he win 2 blue ball and lose 3 red balls.

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The value of the expression in the form of the scientific notation is 7.539 x 10⁵.

Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using scientific notation. It may be called scientific form.

When a number is written using only the digits of the number, that is considered standard notation. Since words are not used in conventional number notation, this is the way that numbers are typically written.

The expression is (7.62 × 10⁵) – (8.1 × 10³). The expression will be solved as,

E = (7.62 × 10⁵) – (8.1 × 10³)

E = (7.62 × 10⁵) – (0.081 × 10⁵)

E = 7.539 x 10⁵

Therefore, the value of the expression in the form of the scientific notation is 7.539 x 10⁵.

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Answer:

42

Step-by-step explanation:

Given function:

[tex]f(x)=4x^4-2x^3-3x^2+3x[/tex]

Use the method of synthetic substitution to find the value of the function when x = 2.

Place the value of x in the left box and write the coefficients of the function in descending order, remembering to write a zero for the coefficient of any missing term.  

(As there is no constant term in this function, the last coefficient should be written as zero).

       [tex]4x^4-2x^3-3x^2+3x[/tex]

[tex]\begin{array}{c|ccccc}2&4&\:\:-2&\;\;-3&\;\:\:\:\:3&\;\;0\\\cline{1-1} \end{array}[/tex]

Bring the leading coefficient down:

[tex]\begin{array}{c|ccccc}2 &4&-2&-3&3&0\\\cline{1-1}&\downarrow &&&\\\cline{2-6}&4\end{array}[/tex]

Multiply the number you brought down with the number in the box and put the result in the next column (under the -2):

[tex]\begin{array}{c|rrrrr}2 &4&-2&-3&3&0\\\cline{1-1}&\downarrow &8&&\\\cline{2-6}&4\end{array}[/tex]

Add the two numbers in the second column together and put the result under them in the bottom row:

[tex]\begin{array}{c|rrrrr}2 &4&-2&-3&3&0\\\cline{1-1}&\downarrow &8&&\\\cline{2-6}&4&6\end{array}[/tex]

Repeat:

[tex]\begin{array}{c|rrrrr}2 &4&-2&-3&3&0\\\cline{1-1}&\downarrow &8&12&\\\cline{2-6}&4&6&9\end{array}[/tex]

[tex]\begin{array}{c|rrrrr}2 &4&-2&-3&3&0\\\cline{1-1}&\downarrow &8&12&18\\\cline{2-6}&4&6&9&21\end{array}[/tex]

[tex]\begin{array}{c|rrrrr}2 &4&-2&-3&3&0\\\cline{1-1}&\downarrow &8&12&18&42\\\cline{2-6}&4&6&9&21&42\end{array}[/tex]

The last value, 42, is the value of the function when x is 2.

Therefore,

[tex]f(2)=4x^4-2x^3-3x^2+3x=42[/tex]

Answer: 6.5

Step-by-step explanation:

To perform this kind of exercise, it is necessary to replace the value indicated in each variable each time you find the variable in the equation.

Answer:

6.5

Step-by-step explanation:

Substitute the known variables into the equation

7(0.5) + 5 - 8(0.25)

Multiply: 3.5+5-2

Solve: 6.5

Answer:

12 - 12 a

Step-by-step explanation:

The base length of the isosceles triangle is 23. Therefore, the correct option is C.

An isosceles triangle is a triangle with (at least) two equal sides. It also has two angles equal to each other.

The base angle of an isosceles triangle is equal in length.

The legs of an isosceles triangle are equal. Therefore,

3x - 1 = - 3x + 41

3x + 3x = 41 + 1

6x = 42

divide both sides by 6

x = 42  /6

x = 7

Let's find the length of the base side.

Therefore,

4x - 5

where

x = 7

4(7) - 5 = 28 - 5 = 23

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Answer:

(not a possible parabola)

Step-by-step explanation:

see the plot...

The demand function for the marginal revenue function is found as; p(x) = 0.02x² - 0.025x + 138.

For the given question;

R′(x) = 0.06x² − 0.05x + 138

R(x) = ∫R′(x)dx

R(x) =  ∫[0.06x² − 0.05x + 138] dx

R(x) = 0.06x³/3 - 0.05x²/2 + 138x + C

R(x) = 0.02x³ - 0.025x² + 138x + C

If R(0) = 0, revenue is 0.

Put x = 0.

0.02x³ - 0.025x² + 138x + C = 0

c = 0

Thus,

R(x) = 0.02x³ - 0.025x² + 138x

Factorizing the function,

R(x) = 0.02x³ - 0.025x² + 138x

R(x) = x(0.02x² - 0.025x + 138)

R(x) = xp(x) . Thus,

p(x) = 0.02x² - 0.025x + 138

Therefore, the demand function for the marginal revenue function is found as; p(x) = 0.02x² - 0.025x + 138.

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Answer:

x+5 or 5+x

Step-by-step explanation:

It seems we are looking for a math expression that is the same as English expression you wrote.The sum is what we get when we add numbers. Therefore, we could restate the English expression as what do we get when we add 5 to the number x? While we do not know what specific number x represents, we do know that if we add 5 to the number x we get 5 plus x. Now the question can be restated as, "How do we write 5 plus the number x?" Do you know the answer now? Does 5 + x sound right? How about x + 5? Both of these expressions are correct as they both represent the sum of 5 and the number x.

The principal amount for account A is $200 and for account B is $700.

Account B earns more simple interest than account B in first month.

Given,

Account A

Simple interest, SI = $9.25

Time period, T = 15 months = 1 1/4 = 5/4 years

Rate of interest, R = 3.7%

Account B

Simple interest, SI = $25.20

Time period, T = 18 months = 1 1/2 = 3/2 years

Rate of interest, R = 2.4%

We have to find the principal amount for each account and also the account which earned the more simple interest;

Here,

Simple interest, SI = PRT/100

P is the principal amount

Now,

Account A.

SI = PRT/100

9.25 = (P × 3.7 × 5/4) / 100

9.25 × 100 = P × 4.625

P = 925/4.625

P = $200

SI = PRT/100

SI = (200 × 3.7 × 1/15) / 100

SI = 2 × 3.7 × 1/15

SI = $0.493

Next,

Account B

SI = PRT/100

25.20 = (P × 2.4 × 3/2) / 100

25.20 × 100 = P × 3.6

P = 2520/3.6

P = $700

SI = PRT/100

SI = (700 × 2.4 × 1/18) / 100

SI = 7 × 2.4 × 1/18

SI = $0.933

Here,

The principal amount for account A is $200

The principal amount for account B is $700

Simple interest for first month;

Account A = $0.493

Account B = $0.933

Therefore,

In first month account B earns more simple interest than account A.

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Answer:

A

Step-by-step explanation:

an open circle on a value means that x cannot equal that value

a closed circle on a value means that x can equal that value

from the number line

closed circle at - 3 means x can equal 3

open circle at 2 means that x cannot be equal to 2

all values between - 3 and 2 are solutions for x, then

x ≥ - 3 and x < 2 or - 3 ≤ x < 2

The solution to the given system of equation has exactly one solution at (0,2).

The addition property of equality is used in the elimination technique to solve systems of linear equations.

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

Given pair of equations is

18x - 2y = -4  ....(i)

4x - y = -2    .....(ii)

To solve the equation apply elimination method.

Multiply equation (ii) by 2 and subtract it from (i):

18x - 2y = -4

8x - 2y = -4

(-)  (+)     (+)

_________

10x = 0

x = 0

Putting x = 0 equation (ii)

0 - y = -2

y = 2

So there is exactly one solution (0,2).

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The solution to the given system of equation has exactly one solution at (0,2).

Which property is used in elimination method?
The addition property of equality is used in the elimination technique to solve systems of linear equations.

What is elimination formula?

To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.
Given pair of equations is
18x - 2y = -4  ....(i)
4x - y = -2    .....(ii)
To solve the equation apply elimination method.
Multiply equation (ii) by 2 and subtract it from (i):
18x - 2y = -4
8x - 2y = -4
(-)  (+)     (+)
_________
10x = 0
x = 0
Putting x = 0 equation (ii)
0 - y = -2
y = 2
So there is exactly one solution (0,2).

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Answer:

A

Step-by-step explanation:

mass / volume

m/v

Answer: d = m/V

Step-by-step explanation: density is the mass divided by volume or d= m/V

Answer:

  3⁰ = 1

  x⁰ = 1

Step-by-step explanation:

You want powers of 3 filled in your table from an exponent of 4 down to an exponent of 0.

3⁴ = 3·3·3·3 = 81 . . . . . . 3 is a factor 4 times

3³ = 3·3·3 = 27 . . . . . . .  3 is a factor 3 times

Each row of the table has 3 being a factor of 3^x one fewer times, so each value of 3^x is 1/3 of the previous value.

The last two rows of the table are ...

  3¹ = 3

  3⁰ = 1

See the attachment for the whole table.

In general, the meaning of x⁰ is ...

  x⁰ = 1

__

Additional comment

In algebra, 0⁰ = 1 is the usual definition. In some contexts (mathematical analysis, calculus), it may be "undefined."

That means x⁰ = 1 for all real numbers x, including x = 0.

The value of a , b and c are 7, 11 and 1 respectively.

173a is divisible by 9.

Rule of divisible by 9 is:

The number itself is divisible by 9 if its digit sum is also divisible by 9.

digits sum  =  1+7+3+a  = 11+a.

11+a is divisible by 9. a can be 7 so that 11+7 = 18 is divisible by 9.

minimum positive value of a = 7.

173b is divisible by 11

Rule of divisible by 11 is:

A number is completely divisible by 11 if the difference between the sum of its alternative digits is divisible by 11.

sum of its alterative digits:

1+3 =4  

7+b =7+b

difference of alternative digits sum = 7+b-4 = b+3 is divisible by 11 b = 8

so that 8+3 = 11 is divisible by 11.

minimum positive value of b = 11.

173c is divisible by 6.

Rule of divisible by 11 is:

Any number that can be divided by both 2 and 3 is also divisible by 6.

sum of digits of number = 1+7+3+c = 11 + c if divisible by 2 then it should be even if we put c = 1  , 11+1 = 12 which is divisible by both 2 and 3.

minimum positive value of c = 1.

So the value of a ,b and c are 7, 11 and 1 respectively.

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Drawing an altitude and computing the side lengths of the resulting half triangle for an equilateral and isosceles triangle, would give the trigonometric functions for multiples of 30 and 45 respectively.

In a 30°-60°-90° right triangle, the longer leg is [tex]\sqrt{3}[/tex] times longer than the shorter leg, and the hypotenuse is twice as long. In a 45°-45°-90° right triangle, sides opposite to the equal angles (45°) are equal and the hypotenuse is [tex]\sqrt{2}[/tex] times the other sides.

To find the trigonometric functions of multiples of 30°, first consider a equilateral triangle of, say, side-length 2. Draw an altitude for the triangle. Each of the half triangle are 30°-60°-90° right triangle. Clearly the base will be divided into 2 equal parts of length 1 each. Now using Pythagorean Theorem on one of the 30°-60°-90° right triangle, trigonometric functions for multiples of 30° could be obtained.

Draw x and y axis. Now take a length of , say , 2 in the x-axis and using a compass pointed at origin and mark the point on y axis with a length 2. Now join these points on x and y axis. A 45°-45°-90° isosceles right triangle with side-length 2 is obtained. Now using Pythagorean Theorem, trigonometric functions for multiples of 45° could be obtained.

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The product of A x B of matrix is

a)  [tex]C = \left[\begin{array}{ccc}8 & 12 \\ 10 &15 \\\end{array}\right][/tex]

b) [tex]C = \left[\begin{array}{ccc}3 &6 \\ 4 &8 \\\end{array}\right][/tex]

c) [tex]C = \left[\begin{array}{ccc}-7 &-2 \\ 42 &12 \\\end{array}\right][/tex]

d) [tex]C = \left[\begin{array}{ccc}24 &-96 \\ 15 &-60 \\\end{array}\right][/tex]

What is multiplication of matrices?

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

a)

Let the 2 matrices be A and B

The value of matrix A is

[tex]A = \left[\begin{array}{ccc}4\\5\\\end{array}\right][/tex]

The value of matrix B is

[tex]B = \left[\begin{array}{ccc}2&3\\\end{array}\right][/tex]

Now , the dimensions of matrix A is 2 x 1 and of matrix B is 1 x 2

So , matrix multiplication is possible

Now , let C be the result of A x B

And ,

[tex]C = \left[\begin{array}{ccc}4\\5\\\end{array}\right] *\left[\begin{array}{ccc}2&3\\\end{array}\right][/tex]

So  , the value of matrix C is calculated as

[tex]C = \left[\begin{array}{ccc}( 4 * 2 ) &( 4 * 3 )\\( 5 * 2 ) &(5 * 3 )\\\end{array}\right][/tex]

On simplifying the matrix , we get

[tex]C = \left[\begin{array}{ccc}8 & 12 \\ 10 &15 \\\end{array}\right][/tex]

Therefore , the value of matrix C is   [tex]C = \left[\begin{array}{ccc}8 & 12 \\ 10 &15 \\\end{array}\right][/tex]

b)

C be the result of A x B

The value of matrix A

[tex]A = \left[\begin{array}{ccc}3\\4\\\end{array}\right][/tex]

The value of matrix B is

[tex]B = \left[\begin{array}{ccc}1&2\\\end{array}\right][/tex]

Now , let C be the result of A x B

And ,

[tex]C = \left[\begin{array}{ccc}( 3 * 1 ) &( 3 * 2 )\\( 4 * 1 ) &(4 * 2 )\\\end{array}\right][/tex]

On simplifying the matrix , we get

[tex]C = \left[\begin{array}{ccc}3 &6 \\ 4 &8 \\\end{array}\right][/tex]

Therefore , the value of matrix C is [tex]C = \left[\begin{array}{ccc}3 &6 \\ 4 &8 \\\end{array}\right][/tex]

c)

C be the result of A x B

The value of matrix A

[tex]A = \left[\begin{array}{ccc}-1\\6\\\end{array}\right]\\[/tex]

The value of matrix B

[tex]B = \left[\begin{array}{ccc}7&2\\\end{array}\right][/tex]

Now , let C be the result of A x B

And ,

[tex]C = \left[\begin{array}{ccc}-7 &-2 \\ 42 &12 \\\end{array}\right][/tex]

Therefore , the value of matrix C is [tex]C = \left[\begin{array}{ccc}-7 &-2 \\ 42 &12 \\\end{array}\right][/tex]

d)

C be the result of A x B

The value of matrix A

[tex]A = \left[\begin{array}{ccc}8\\5\\\end{array}\right]\\[/tex]

The value of matrix B

[tex]B = \left[\begin{array}{ccc}3&-12\\\end{array}\right][/tex]

Now , let C be the result of A x B

And ,

[tex]C = \left[\begin{array}{ccc}24 &-96 \\ 15 &-60 \\\end{array}\right][/tex]

Therefore , the value of matrix C is [tex]C = \left[\begin{array}{ccc}24 &-96 \\ 15 &-60 \\\end{array}\right][/tex]

Hence , the matrix multiplication is done and the results are given

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Answer:

2

Step-by-step explanation:

take an example like

u have one apple then someone gives you another one apple

when you add them,

you get 2

Answer:

2 rows on each page equals 104, which means that there would be 3 non-used photos

Step-by-step explanation:

Answer:332

Step-by-step explanation:Solution for 161 is what percent of 200:

161:200*100 =

(161*100):200 =

16100:200 = 80.5

Now we have: 161 is what percent of 200 = 80.5

Question: 161 is what percent of 200?

Percentage solution with steps:

Step 1: We make the assumption that 200 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=200$.

Step 4: In the same vein, $x\%=161$.

Step 5: This gives us a pair of simple equations:

$100\%=200(1)$.

$x\%=161(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{200}{161}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{161}{200}$

$\Rightarrow x=80.5\%$

Therefore, $161$ is $80.5\%$ of $200$.

The length of each identical section of pipe is 2.51 meters

Define Algebraic Expression

In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)

Given,

Billy bought 18 identical sections of pipe.

Total length of pipes = 45.18 meters

The length of each pipe is = 45.18 / 18

                                            = 2.15 meters

Hence, the length of each identical section of pipe is 2.51 meters

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 168 divided by 12  is 14.

 14 <-- quotient

 ---

168

  12

  --

   48

   48

   --

      <-- remainder

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Circle B will have larger circumference by 3.14 centimeter

The distance along a circle's perimeter is referred to as its circumference. In other words, the circumference of a circle is equal to the length of a straight line formed by opening up the circle.

The circumference of the circle is = 2пr where r is radius

According to the information

Circle A has diameter = 9 cm

Radius of circle A = [tex]\frac{9}{2}[/tex] cm

Circumference of Circle A = 2пr

                                            = 2 × 22/7 × 9/2

                                            = 28.28 centimeter  

Circle B has radius = 5 cm

Circumference of circle B = 2 × 22/7 × 5

                                             = 31.42 centimeter

Circle B will have larger circumference by 3.14 centimeter

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Answer:

2.8 Miles in 24 minutes

Step-by-step explanation:

60 / 24 = 2.5

2.5 / 7 = 2.8

Answer:

17.5mi

Step-by-step explanation:

7mi = 17.5mi

60min = 24min

60/24=2.5

2.5*7=17.5

The graph's intersection with the x-axis is known as the x-intercept. The graph's intersection with the y-axis is known as the y-intercept.The y-intercept is (0,-4).

To find Y intercept substitute x=0;

here X interept is (1,-1)

Y intercept (0,-4)

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Step-by-step explanation:

when you have a problem you can tell me please follow