What happens when you log an e?

Answers

Answer 1

When you log an e, you are essentially taking the natural logarithm of the number. This means that you are taking the logarithm of a number to the base e, which is about 2.718. The result of this calculation is the number of times the number must be multiplied by itself to get the original number.

For example, if you were to log an e, it would be equal to 1, since e x e = e. If you log a number bigger than e, such as 8, the result would be equal to 2.079, which means that 8 must be multiplied by itself twice (2.079 times) to get the original 8.

In general, when you log a number, you can think of it as a way of seeing how many times that number needs to be multiplied by itself to get the original number. This can be useful in many fields, from mathematics to engineering to physics, to find the mathematical relationship between two numbers.

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Related Questions

Find the area of the semi-circle with the radius of 4. 1mm. Round to the nearest tenth​

Answers

The area of the semi-circle with the radius of 4.1 mm, round to the nearest tenth is 52.8 mm²

The area of the semi-circle will be calculated by the formula -

Area = 1/2πr², where r is the radius of the circle.

Keep the values in formula to find the value.of area of semi circle

Area = 1/2×3.14×4.1²

Performing multiplication on Right Hand Side of the equation to find the area of the semi-circle

Area = 52.78 mm²

Round off the nearest tenth

Area = 52.8 mm²

Thus, the area of semi-circle with mentioned radius is 52.8 mm².

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100,000,000 is what percent of 100,000,000

Answers

Answer:

100% if that's not an answer choice it is 1 because it is whole

Step-by-step explanation:

100,000,000 ÷ 100,000,000 = 1  or 100%

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hi everyone help my math pls
show ur solutions ​

Answers

On solving the provided question, we can say that - the area of the provided circle is A = [tex]113.04 cm^2[/tex]

What is circle?

Every point in the plane that is a certain distance away from a certain point forms a circle (center). It is, thus, a curve formed by points moving in the plane at a fixed distance from a point. At every angle, it is also rotationally symmetric about the center. A circle is a closed two-dimensional object where every pair of points in the plane are equally spaced out from the "center." A line that goes through the circle creates a specular symmetry line. At every angle, it is also rotationally symmetric about the center.

here,

radius, r = 6 cm

Area of circle = [tex]\pi X r^2 = 3.14 X 6 X 6 \\[/tex]

A = [tex]113.04 cm^2[/tex]

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Find the solutions of the quadratic equation 3x2−x+8=03x 2 −x+8=03, x, squared, minus, x, plus, 8, equals, 0.

Answers

The solutions of the quadratic equation 3x² − x + 8 = 0 are as follows;

x = 0.1667 + 1.6245i

x = 0.1667 - 1.6245i

How to solve the given quadratic equation?

In Mathematics, the standard form of a quadratic equation is given by this mathematical expression;

ax² + bx + c = 0

Mathematically, the quadratic formula is modeled or represented by this mathematical expression:

[tex]x = \frac{-b\; \pm \;\sqrt{b^2 - 4ac}}{2a}[/tex]

From the information provided above, we can logically deduce the following data values (parameters);

3x² − x + 8 = 0

Where:

a = 3b = -1c = 8

Substituting the data values (parameters) into the quadratic formula, we have the following;

[tex]x = \frac{-(-1)\; \pm \;\sqrt{(-1)^2 - 4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;4(3)(8)}}{2(3)}\\\\x = \frac{1\; \pm \;\sqrt{1\; - \;96}}{6}[/tex]

x = (1 ± √95)/6

x = (1 + √95)/6 = 0.1667 + 1.6245i

or

x = (1 - √71)/6 = 0.1667 - 1.6245i

In conclusion, i represents a complex number.

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Complete Question:

Find the solutions of the quadratic equation 3x² − x + 8 = 0.

what is the lowest denomenator of 11/5+2/3+1/6

Answers

Answer:

[tex] \frac{11}{5} + \frac{2}{3} + \frac{1}{6} \\ = \frac{91}{30} \\ it \: is \: 30[/tex]

Determine whether quadrilateral EFGH is similar to quadrilateral QRST. If so, give the similarity statement. (ASAP PLS HELP!!)

A)
QRST ∼ EFGH

B)
QRST ∼ FEHG

C)
Impossible to determine.

D)
The quadrilaterals are not similar.

Answers

Answer:

qrst similar to fehg

Step-by-step explanation:

opposite angles are equal in parallelogram so 70 is equal to 70 on both and similarly other angles also are equal that we can find using co interior property as well

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Answer:

the quads are NOT similar is the right answer!!!

Step-by-step explanation:

I got it right:)

How can these models be used to find the sum 2. 3 + 1. 94?




Enter your answers in the boxes.


The models show a total of 3 wholes,

tenths, and

hundredths. After regrouping 10 tenths into 1 whole, there are

wholes,

tenths, and

hundredths. Therefore, the sum of the numbers is

Answers

The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

Therefore the answer is 4.24.

The first number, 2.3, can be broken down into 2 wholes and 3 tenths.

The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.

To add the two numbers together, we first add the wholes: 2 + 1 = 3.

Next, we add the tenths: 3 + 9 = 12

Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.

We add the regrouped tenths to the number of wholes: 3 + 1 = 4

After regrouping, we have 4 whole and 2 tenths.

Now we add the hundredths: 0 + 4 = 4

Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

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PLEASE HELP !!! I WILL MARK BRAINLIEST !!!!!

Answers

Answer:

la respuesta sería ..many.. for I finite solutions ....lla que esta ecuación cepuede resolver de muchas formas como 3^2 pasando a multiplicar y muchos más metodos

Please say all the values

Answers

Answer:

-8 and -11

Step-by-step explanation:

all you do is divide both sides by -5 to get x<-4 (you swap the direction of the sign when you multiply or divide by a negative number) so the answers that are smaller than -4 are -8 and -11 NOT -4

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Which ordered pairs are solutions to this system of inequalities?

Answers

9514 1404 393

Answer:

  c, d, e

Step-by-step explanation:

The first two listed points are not in the solution set. The remaining three are.

__

Any point in the doubly-shaded area, or on the solid boundary line of that area is part of the solution set. Points (-1, -6), (0, -5), and (0.5, -2) are solutions to the given inequalities.

A line is perpendicular to y = x + 3
and intersects the point (-2, 4).
What is the equation of this
perpendicular line?
y = − ²x + [ ]
Hint: Use the Point-Slope Form:y-y₁ = m(x - X1)
Then write the equation in slope-intercept form.
Enter

Answers

Answer:

y =x+3

y =-x²+[?]

Find the gradient;

What is the formula for the gradient of a graph?

Finding the gradient of a straight-line graph

X2 = 2

Y2 = 7

ΔX = 4

ΔY = 3

θ = 36.869897645844°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

OR

X2 = -6

Y2 = 1

ΔX = -4

ΔY = -3

θ = 216.86989764584°

Equation of the line:

y = 0.75x + 5.5

When x=0, y = 5.5

When y=0, x = -7.3333333333333

Can you please help me?

Answers

Answer:

(a) Reason: angle in a semi circle is 90°

(b) PR = 19.2 cm

Step-by-step explanation:

(a) From the diagram.

∠PQR is 90° because point P,Q and R forms a semi circle, and angle in a semi circle is equal to 90°

(b) Applying

Pythagoras theorem,

a² = b²+c²................. Equation 1

From the diagram,

Where a = PR, b = RQ, c = QP.

Given: RQ = 9 cm, QP = 17 cm

Substitute these values into equation 1

(PR)² = 9²+17²

(PR)² = 81+289

(PR)² = 370

PR = √370

PR = 19.2 cm

The speed of sound is about 340 m/s. Find the wavelength of a sound wave that has a frequency of 20.0 cycles per second ( the low end of human hearing)
A. 10.3 m
B. 17.0 m
C. 22.5 m
D. 25.0 m

Answers

Answer:

A

Step-by-step explanation:

An 8 by 8 checkerboard has alternating black and white squares. How many distinct squares, with sides on the grid lines of the checkerboard (horizontal and vertical) and containing at least 5 black squares, can be drawn on the checkerboard

Answers

The total number of rectangles you can draw using the grid lines exists 1296.

What are the peculiarities of  rectangle?

A quadrilateral is a shape with two opposed sides that are equal and parallel. It is a polygon with four sides and four 90-degree angles. The shape of a rectangle is two dimensional.

A square is a particular type of closed figure that has four straight sides, four right angles, and sides that are all the same length. As a result, we can say that: A square is a particular variety of rectangle. Rectangles are not always squares, but squares are always rectangles.

Number 2 × 2 squares have 4 black squares

all 3 × 3 squares have at least 4 black squares, as do all 4 × 4, 5 × 5, 6 × 6, 7 × 7, and 8 × 8 squares.

there are 6 × 6 = 36   3 × 3 squares

there are 5 × 5 = 25   4 × 4 squares

there are 4 × 4 = 16    5 × 5 squares

there are 3 × 3 = 9     6 × 6 squares

there are 2 × 2 = 4     7 × 7 squares

there is   1          8 × 8 square

Summing we get 91 squares

The total number of rectangles you can draw using the grid lines exists (92)(92) = 1296.

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The total number of rectangles you can draw using the grid lines exists 1296.

What are the peculiarities of  rectangle?

A shape with two opposing sides that are equal and parallel is called a quadrilateral. It has four sides, four 90-degree angles, and is a polygon. A rectangle is a two-dimensional form.

An example of a closed form with four straight sides, four right angles, and all sides being the same length is a square. Therefore, we can state that a square is a certain type of rectangle. Squares are not always rectangles, but rectangles are always squares.

Number 2 × 2 squares have 4 black squares

all 3 × 3 squares have at least 4 black squares, as do all 4 × 4, 5 × 5, 6 × 6, 7 × 7, and 8 × 8 squares.

there are 6 × 6 = 36   3 × 3 squares

there are 5 × 5 = 25   4 × 4 squares

there are 4 × 4 = 16    5 × 5 squares

there are 3 × 3 = 9     6 × 6 squares

there are 2 × 2 = 4     7 × 7 squares

there is   1          8 × 8 square

Summing we get 91 squares

The total number of rectangles you can draw using the grid lines exists (92)(92) = 1296.

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Work out the interior angle of the octagon.
Please show the working out.

Answers

Answer:

135°

Step-by-step explanation:

formula = (n-2) * 180, whereby 'n' is the number of sides.

therefore, (8-2) * 180 = 1080°

1080° ÷ number of sides

= 1080° ÷ 8

= 135°

Answer:

∠a = 135°

Step-by-step explanation:

There is a formula for finding the sum of the interior angles of any polygon.

N = number of sides

sum of interior angles = (180° x N) - 360°

so:

(180° x 8) - 360° = 1080°

1080°/8 angles = 135° each angle

Which set of data shows the least variability?


A. 65, 66, 67, 68, 69
B. 60, 60, 60, 60, 80
C. 50, 60, 70, 80, 90
D. 55, 55, 75, 95, 95

Answers

B. Shows lest Variability.
A) is constant, C) is Constant, D) is constant but with and addition of 20 and remaining

Use the data in the table below to create a scatter plot. Based on your scatter plot, does the data
have a correlation? If so, what kind?

A. No - the data has no correlation
B. Yes - there is a negative correlation
C. Yes - there is a positive correlation
D. There is not enough information to answer

Answers

Answer:

C

Step-by-step explanation:

There is a positive correlation, as hours spent gets bigger the test score gets bigger with some outliers

Please Help me. I need answers

Answers

Answer:

7

Step-by-step explanation:

49 ÷ 7 = 7

Square root is always dividing by a whole factor :)

Answer:
7

Explanation:
7 times 7 is 49
If you square 7 (aka multiply it by itself), you get 49

I want to pour a concrete slab in my backyard with an area of 370 ft2 to put a basketball goal. If the length of the slab is 23 feet less than 6 times the width, answer the following questions.

a) What is an applicable x value?
b) What is the width of the concrete slab?
c) What is the length of the concrete slab?

Answers

A=lw A=370 l=6w-23
370=w(6w-23)
6w^2-23w=370
6w^2-23w-370
Works out to
(W-10) pick this one
+10
W=10
or
(6w+37) is not the answer to choose
-37
6w=-37
/6 /6
W=-6.17


A) 10
B) 10
C) 37

What is 5 in the expression 5x called?

Answers

The term 5 in 5x is known as the coefficient of the expression.

A coefficient is defined as a term or a number which is multiplied by a variable. This constant terms generally precedes the variable term.

A coefficient is a generally a multiplicative factor in a polynomial series, or in an  equation.

Expressions are mathematical statements which are composed of two terms in which at least one contain variables, numbers, or both. These terms are either numbers or variables or numbers and variables multiplying each other. These expressions are a combination of numbers with mathematical ,operators are used to separate them.

Eg, 2x - 90 =45

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Consider the inequality X-3/6< x/4 -4. Which value of x is a solution to the inequality?

A.x=-10
B.x=-5
C.x=5
D.x=10

Answers

x=5 is the value of the x that is the solution of the given inequality.

Define inequality.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

What are types of inequality.

>,< and not equal to are types of inequality.

x=5 is the value of the x that is the solution of the given inequality.

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What is BC? Enter your answer in the box. BC=​

Answers

Answer:

25

Step-by-step explanation:

4x+4=6x-14

2x=18

x=9

2×9+7=25

Give the most precise classification for each figure

Answers

Answer: kite

Step-by-step explanation:

Looks like a kite

Plz give me brainiest

kite

Step-by-step explanation:

this is a kite is a quartlateral but it bisects equally so it's a kite

Look at the graph, then select the correct answer.

Which distribution has the greatest spread?


A. Distribution 1

B. Distribution 2

C. Distribution 3

D. Distribution 4

Answers

The distribution has the greatest spread is

C. Distribution 3

What is standard deviation?

The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.

A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.

In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread

This is distribution 3 with a standard deviation of 7.2

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Is 9x² 24x 16 a perfect square trinomial?

Answers

9x² + 24x + 16, which is the full quadratic trinomial expressed as (3x +4)².

What is a trinomial expression?

A trinomial expression is an algebraic expression containing three distinct terms, hence the name "trinomial expression". An algebraic expression called a trinomial expression contains three nonzero terms. A trinomial expression is formed when three monomials are added or subtracted from each other. A quadratic trinomial has the form: ax² + bx + c, where a, b, and c are nonzero real values.

Given that

9x² + 24x + 16

= (3x)² + 2(12x) + 16

= (3x)² + 2(3x)(4) + 4²

This is similar to a² + 2ab + b² = (a + b)².

So you can write:

= (3x + 4)²

= (3x +4) (3x + 4)

So this is a complete quadratic trinomial.

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What is reflex angle class 9?

Answers

A reflex angle is an angle which measures more than 180 degrees and less than 360 degrees.

There are different types of angles in geometry, such as obtuse, acute and right angles, which all are under 180 degrees.

Assume, z is an acute or obtuse angle, and r is the reflex angle, then:

z + r = 360

r = 360 - z

Therefore, we can find the related reflex angle(r), if we know the value of the acute or obtuse angle(z).

A reflex angle equals the summation of 180 degrees and any of the primary angles (acute, right and obtuse angles). Therefore,

Reflex angle = 180° + Acute angle

Reflex angle = 180° + Right angle

Reflex angle = 180° + Obtuse angle

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Jesse from Boston goes to his grandpa Isaac in New York by bus at an average speed of 35 mph and it takes him 6 hours. In a while, Jesse and Isaac go back from New York to Boston in Isaac's car at an average speed of 42 mph. How long does Jesse's trip from New York to Boston take?

Answers

Answer:

The Average Speed is 48mph

Step-by-step explanation:

I've done this problem before, I wish A+'s upon all that read this answer. take care man!

The time it takes for Jesse to complete his trip from New York to Boston is 5 hours.

How long does Jesse's trip from New York to Boston take?

To calculate the time it takes for Jesse's trip from New York to Boston, we need to use the formula: time = distance / speed.

Given that Jesse traveled from Boston to his grandpa Isaac in New York at an average speed of 35 mph, and the trip took him 6 hours, we can determine the distance using the formula: distance = speed × time.

Distance = 35 mph × 6 hours = 210 miles.

Now, for the return trip from New York to Boston, Jesse and Isaac travel at an average speed of 42 mph. To find the time it takes, we divide the distance by the speed:

Time = 210 miles / 42 mph = 5 hours.

Therefore, Jesse's trip from New York to Boston takes 5 hours time.

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What does ∠ ABC mean?

Answers

The measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.

Explain the term angles?

Whenever two straight lines as well as rays intersect at a single endpoint, an angle is created. The vertex of the an angle is the location where two points come together.

Measure or "the measure of" are indicated by the "m." Consequently, m1 and m2 stand for "the measure for angle one" and "this same measure of angle two," respectively.The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle.A closed shape with both inner and exterior angles, a triangle is created by three line segments.When the values of the remaining two angles are known, then angle sum property is utilised to determine the measure of an uncertain interior angle.

Thus, the measure of angle ABC means, vertex B lies in between A and C, whose value is to be obtained.

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What does it mean to use the cosine value of an inverse of tan θ?
I attached the question I'm just confused.
Will it be 60°?

Answers

Answer:

[tex] \boxed{ \begin{array}{ccc} \displaystyle \theta = {120}^{ \circ} \\ \displaystyle\sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} \end{array}}[/tex]

Step-by-step explanation:

we are given a inverse trig

we want to figure out the value of [tex]\theta[/tex]

in that case we can consider using unit circle in unit circle the value of arctan (-√3)=120°

therefore,

the value of theta is 120°

likewise by unit circle the value of sine is

[tex] \displaystyle \sin( {120}^{ \circ} ) = \frac{ \sqrt{3} }{2} [/tex]

A line is parallel to y = -3x + 2 and
intersects the point (4, 3). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x -x1)
Then write the equation in slope-intercept form.
Enter

Answers

Answer:

the equation of line parallel to y=-3x+2

is y=-3x+k---(1)

Since,line(1) passes through point (4,3).

3=-3(4)+k

or,3=-12+k

or,k=3+12

:.k=15

Putting value of k in line (1), we get

y=-3x+15,which is the required eqn.

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