Which expressions are equivalent to In e?

According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.

The table shows the population density of some states in which the number of people and the area of that state are mentioned.

Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.

On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.

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Answer: Anna

Step-by-step explanation:

        First, I will create proportions.

Anna: 2 lemon : 9 water

Jack: 3 lemon : 15 water

        Next, I will simplify them.

[tex]\frac{2}{9}[/tex] = Already simplified

[tex]\frac{3}{15}[/tex] = [tex]\frac{1}{5}[/tex]

        Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.

[tex]\frac{2}{9}[/tex]  * [tex]\frac{5}{5}[/tex] = [tex]\frac{10}{45}[/tex]

[tex]\frac{1}{5}[/tex] * [tex]\frac{9}{9}[/tex] = [tex]\frac{9}{45}[/tex]

Answer

(180,120)

Cannot be determined

Step-by-step explanation:

Fax

The critical point with the maximum revenue is at (180,120)

The objective function is given as:

Revenue = 75x+85y

The critical points are (0,0) (180,120) (300,0)

Substitute these points in the objective function.

Revenue = 75(0)+ 85(0) = 0

Revenue = 75(180)+ 85(120) = 23700

Revenue = 75(300)+ 85(0) = 22500

The maximum revenue is 23700.

Hence, the maximum revenue is at point (180,120)

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Answer:

x = 5,-3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

See attachments

Step-by-step explanation:

Hope this helps! (I hope you can open them)

Answer:

Surface Area: [tex]18ft^3[/tex]

Volume: [tex]44ft^2[/tex]

Step-by-step explanation:

Volume Formula --> base * height

[tex](4.5 * 2) * 2 = 9*2=18ft^3[/tex]

Surface Area Formula --> 2(width*length + height*length + height*width)

[tex]2((2*4.5) + (2*4.5)+(2*2)) = 2(9+9+4) = 2(22) = 44ft^2[/tex]

Answer:

Volume = 18 ft³

Surface area = 44 ft²

Step-by-step explanation:

Volume

Volume of a cuboid = base length × base width × height

Given:

Substitute given values into formula:

⇒ Volume = 4.5 × 2 × 2 = 18 ft³

Surface Area

Surface area = 2(base width × height) + 2(base length × height) + 2(base length × base width)

                      =2(2 × 2) + 2(4.5 × 2) + 2(4.5 × 2)

                      = 8 + 18 + 18

                      = 44 ft²

Answer:

  -2 and 1

Step-by-step explanation:

The two "mystery numbers" are described by two relations. We can assign variables to those numbers, and write a system of equations that express the given relations.

__

Let x and y represent the first and second mystery numbers, respectively. The first relation tells us ...

  10x +5y = -15

The second relation tells us ...

  6x +2y = -10

We can reduce both of these equations to lowest terms by factoring out the common factor of 5 from the first one and 2 from the second one:

__

We are told to solve this using elimination. We can eliminate the y-variable by subtracting the first equation from the second:

  (3x +y) -(2x +y) = (-5) -(-3)

  x = -2 . . . . . . . . . . simplify

  2(-2) +y = -3 . . . . substitute for y

  y = 1 . . . . . . . . . . add 4

The two numbers are -2 and 1.

Answer:

-2i.

Step-by-step explanation:

( 1 - i ) ( 1 - i )

= 1(1 - i) - i(1 - i)

= 1 - i - i + i^2

Now i^2 = -1 so we have:

1 - 2i - 1

= -2i        

Answer:

5050

Step-by-step explanation:

sum of first n natural num. = [n(n+1)]/2

sum of first 100 natural num. = (100x101)/2 = 5050

Answer : The sum of 1 to 101 positive integer is 5050

5052 will be sum of 1 to 101 only positive integer

Answer:

Graph Passing through origin with Gradient ⅓

Step-by-step Solution:

1. Aquire x and y Intercepts by substituting 0 to corresponding value.

When x=0,

[tex]y = \frac{1}{3} (0) \\ y = 0[/tex]

When y=0,

[tex]0 = \frac{1}{3} x \\ x = 0[/tex]

i.e. passing through Origin

do the same for any other 2 points and connect the dots/coordinates and extend the line

Answer:

57 3/10 or 57.3 sets

Step-by-step explanation:

573 stickers divided by 10 sets

Answer:

57 sets of 10 stickers

Step-by-step explanation:

573/10 = 57.3

so, 57 sets of 10 stickers.

Hope this helped! Have a nice day!

Please give Brainliest when possible!

- King Jaron

Answer:

20

Step-by-step explanation:

It is stated that the triangles in the figure are similar:

We can use the side lengths' proportions to find the length of TY

UT/ZY = XT/TY

(9.6)/16 = 12/TY cross multiply expressions:

192 = (9.6)TY divide both sides by 9.6

20 = TY

Answer:

(-4, -6) and (5, -6) are 9 units away from each other on a coordinate grid.

Step-by-step explanation:

Use the distance formula:

We are given the points (-4, -6) and (5, -6). Substitute these points into the formula:

The distance between (-4, -6) and (5, -6) on a coordinate plane is 9 units.

[tex]\sf Potassium \ : \ 2.2 * 10^{-7}[/tex]

[tex]\sf Argon \ : \ 7.1 * 10^{-8}[/tex]

[tex]\sf Boron \ : \ 8.5 * 10^{-8}[/tex]

[tex]\sf Silver \ : \ 1.6 * 10^{-7}[/tex]

greatest to least :

The order is

Shortcut trick :-

The nature of atomic radii in. periodic table

Answer:

I think 2(x^2−y^2)=3x

Answer:

Its 2(x^2-y^2)=3x

[tex]\sf f(x) = 3 \ * \ 2^x[/tex]

insert x = -2

[tex]\sf f(-2) = 3 \ * \ 2^{-2}[/tex]

[tex]\sf f(-2) = 3 \ * \ \dfrac{1}{4}[/tex]

[tex]\sf f(-2) = \dfrac{3}{4}[/tex]

option D. 3/4 will be the correct answer.

[tex]\\ \rm\Rrightarrow f(x)=3.2^x[/tex]

[tex]\\ \rm\Rrightarrow f(-2)[/tex]

[tex]\\ \rm\Rrightarrow 3.2^{-2}[/tex]

[tex]\\ \rm\Rrightarrow 3(1/4)[/tex]

[tex]\\ \rm\Rrightarrow 3/4[/tex]

Considering the surface area of the rectangular box, it is found that since it is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

The surface area of a rectangular prism of length l, width w and depth d is given by:

S = 2(lw + ld + wd).

In this problem, we have that the dimensions, in inches, are given by l = 13, w = 8, d = 7. Hence, the surface area in in² is given by:

S = 2(13 x 8 + 13 x 7 + 8 x 7) = 502 in².

Since the surface area of the box is of 502 in² < 1,350 in², she will not need more than 5 cups of paint.

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Question: calculate the measure of angle JKL, i.e. mJKM+mMKL

Answer:

78°

Step-by-step explanation:

angle JKM is a tangent-chord intersection angle and equals half of the intercepted arc KM of 76°.  Thus

mJKM = 76/2 = 38°

angle MKL is an inscribed angle and equals half of the intercepted arc ML of 80°,  Thus

mMKL = 80/2 = 40°.

Therefore angle JKL = 38°+40° = 78°.

Answer:

i did this on study island

Step-by-step explanation:

The speed at which Erin drove from the given parameters was calculated as; 35 mph

Let Erin's speed rate be X. Now, since it took erin 21 miles, then;

Erin's time = 21/X

Now, erin's speed was 10 mph faster than Brent's speed. Thus;

Brent's speed = (X - 10) mph

Thus, Brents time = 15/(x - 10)

Now, since they took the same time, then we know that;

21/x = 15/(x - 10)

15x = 21x - 210

6x = 210

x = 210/6

x = 35

Thus, Erins speed = 35 mph

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Answer:

2.924

Step-by-step explanation:

First you'll solve the parenthesis:

...- (5.5-5.5)

...-(0)

Now solve the equation:

[tex]\sqrt[3]{5^{2} - 0}[/tex]

[tex]\sqrt[3]{25}[/tex]

Now solve fully

I hope this helps :)

Answer:

the answer is 3 times the square root of 27

Step-by-step explanation:

Answer:

A. x= 2

B. x= 8

Step-by-step explanation:

Solving an equation refers to finding the value of the variable in the equation.

A. 17x +12= 54 -4x

Bring all x terms to one side, constant to the other:

17x +4x= 54 -12

21x= 42

x= 42 ÷21

x= 2

B. 5x -10 +2x= 6(x +1) -x

7x -10= 6x +6 -x

7x -10= 5x +6

Bring all x terms to one side, constant to the other:

7x -5x= 10 +6

2x= 16

Divide both sides by 2:

x= 16 ÷2

x= 8

Hey ! there

Answer:

Step-by-step explanation:

In this question we are provided with two equations that are 17x + 12 = 54 - 4x and 5x - 10 + 2x = 6(x + 1) - x . And we are asked to solve the equation that means we have to find the value of x for both the equations .

Solution : -

[tex] \longmapsto \qquad \: 17x + 12 = 54 - 4x[/tex]

Step 1 : Subtracting 12 on both sides :

[tex] \longmapsto \qquad \: 17x + \cancel{ 12} - \cancel{12} = \bold{54} - 4x - \bold{ 12}[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 17x = 42 - 4x[/tex]

Step 2 : Adding 4x on both sides :

[tex] \longmapsto \qquad \: 17x + 4x = 42 - \cancel{4x} + \cancel{4x}[/tex]

On further calculations, we get :

[tex] \longmapsto \qquad \: 21x = 42[/tex]

Step 3 : Dividing with 21 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{21}x}{ \cancel{21} } = \cancel{ \dfrac{42}{21} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 2}}}} \quad \bigstar[/tex]

Verifying : -

Now , we are verifying our answer by substituting value of x as 2 in the given equation . So ,

Therefore , our solution is correct .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

[tex] \longmapsto \qquad \: 5x - 10 + 2x = 6(x + 1) - x[/tex]

Step 1 : Adding like terms on left side :

[tex] \longmapsto \qquad \: 7x - 10 = 6(x + 1) - x[/tex]

Step 2 : Solving parenthesis on right side by using distributive property . ( Multiplying 6 with x and 1 both ) :

[tex] \longmapsto \qquad \: 7x - 10 = \bold{6x} + 6 - \bold{x}[/tex]

Step 3 : Solving like terms on right side :

[tex] \longmapsto \qquad \: 7x - 10 = 5x + 6[/tex]

Step 4 : Adding 10 on both sides :

[tex] \longmapsto \qquad \: 7x - \cancel{10} + \cancel{ 10} = 5x + 6 + 10[/tex]

Simplifying it ,

[tex] \longmapsto \qquad \: 7x = 5x + 16[/tex]

Step 5 : Subtracting 5x on both sides :

[tex] \longmapsto \qquad \: 7x - 5x = \cancel{5x }+ 16 - \cancel{5x}[/tex]

On further calculations , we get :

[tex] \longmapsto \qquad \: 2x = 16[/tex]

Step 6 : Dividing with 2 on both sides :

[tex] \longmapsto \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{16}{2} }[/tex]

We get :

[tex] \longmapsto \qquad \: \red{\underline{\boxed{ \frak{x = 8}}} } \quad \bigstar[/tex]

Verifying : -

Now , we are verifying our answer by substituting value of x as 8 in the given equation . So ,

Therefore , our solution is correct.

Answer:

First you need to find the slope:  (y2 - y1)/(x2 -x1) = (-4 -(-4))/(0-2) = 0.  So the line is horizontal, which means the y coordinate is constant and equal to -4, so the equation of the line is y = -4.

Step-by-step explanation:

since both points have a y value of -4 you could have jumped directly to y = -4

Answer: The answer is 9.00988 mi/h

Step-by-step explanation: to be simplified it would be 9.0 or 9 miles an hour

Answer:

C) 1

Step-by-step explanation:

The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C

Answer:

Step-by-step explanation:

a and b are parallel lines. So, alternate interior angles are congruent.

∠2 = 64.8°

∠3 = 30.5°

Sum of all angles of triangle  = 180

∠1 + ∠2 + ∠3 = 180

∠1 + 64.8 + 30.5 = 180

           ∠1  + 95.3 = 180

                       ∠1 =  180 - 95.3

                        ∠1  =  84.7°

Answer

the answer is x = 9 root 3

The required distance between the take-off point and the water tower is 1980.1 feet.

Given that,
A plane took off and rose at an angle of 8º with the horizontal ground. As the plane flies over a water tower, it has covered a distance from the take-off point of 2000 feet.
To determine how far apart are the take-off point and the water tower.​

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Here,
Now,
The distance flying over inclination is 2000 feet at an angle of 8° with horizontal.
Now,
Required horizontal distance = 2000 * cos 8°
                                            = 1980.1 feet.

Thus, the required distance between the take-off point and the water tower is 1980.1 feet.

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Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.