What is the value of x if e³x+6 - 87

Answer:

1.275

Step-by-step explanation:

Answer:

51/40

= 1.275 in decimal

hoping help

The number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

Since Faruq has a identical markers, b identical pencils, and no other writing utensils in his locker and we require the number of collections or ways he could bring them to school without coming to school empty-handed, we use combination mathematics since order does not matter.

Now, Faruq can either come to school with one marker and one pencil or one pencil or one marker.

So, the combination for one marker and one pencil is n = a × b = ab

The combination for one marker is n' = a

The combination for one pencil is n" = b

So, the total combination is N = n + n' + n"

= ab + a + b

So, the number of different collections of writing utensils could Faruq bring to class if he doesn't want to show up empty-handed is ab + a + b

Learn more about combination here:

https://brainly.com/question/25821700

#SPJ1

Answer:

Sir, as for as I can tell that is the correct answer. Maybe you put it in wrong or added a space but that’s correct 100%.

Unless it’s not supposed to be in y = mx + b format?

Step-by-step explanation:

Answer:

y = -x - 1

Step-by-step explanation:

The equation of the line is written in the slope-intercept form,

y = mx + b

where m represents the slope

number that describes both the direction and the steepness of the line

slope = rise/run

            b represents the y-intercept  

point where crosses the y-axis

y = mx + b → y = -1x + (-1)

this can be simplified by -x - 1

Learn more about slope and y-intercept here: brainly.com/question/12763756

Answer:

3519.248

Step-by-step explanation:

Searched it up ngl

Answer:

5

Step-by-step explanation:

Anything below 5 is a fail:

3, 2, 0, 1, 3

That's 5 students.

Answer:

B. 8

Function's:

Given following:

To solve for f(g(-2)), substitute x = -2 in function g(x)

⇒ f(g(-2))

⇒ f((-2)² + 1)

⇒ f(5)

Now, substitute x = 5 in function f(x)

⇒ 2(5) - 2

⇒ 8

The translation from words to an algebraic expression, denoting the unknown by n is 0.15(n + 10,000)

let

unknown number = n

= n + 1000

= 15%(n + 10000)

= 15/100(n + 10,000)

= 0.15(n + 10,000)

Learn more about algebraic expression:

https://brainly.com/question/4344214

#SPJ1

Answer:

[tex]x=i\sqrt6[/tex]

[tex]x=-i\sqrt6[/tex]

Step-by-step explanation:

x^2=-6

x=[tex]\sqrt-6[/tex]

Answer:

2

Step-by-step explanation:

mum

The equation of the function g(x) will be g(x) = - ln (x + 2).

Exponents can also be written as logarithms. A number base logarithm is similar to some other number. It is the exact inverse of the exponent expression.

Let the equation of the function f will be

f(x) = ln x

If the function is multiplied with negative sign, then the function gets flipped about the x-axis.

And if we add 2 in the variable of the function, then the function gets shifted towards left.

Then the equation of the function g(x) will be

g(x) = - ln (x + 2)

More about the logarithm link is given below.

https://brainly.com/question/7302008

#SPJ1

Answer:1 and 3

Explanation:by definition a rhombus is parallelogram a with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.

Answer:

half question

Step-by-step explanation:

I'm sorry sir but I would like you to make sure if you have posted the whole question

thank you

Answer:

Answer:

C. 76.81

Step-by-step explanation:

We must use one of the trigonometric ratios to find the length, L,  of the ramp.  If we use 16 as the reference angle, the 22 in would be our opposite side and the ramp length is the adjacent.

Therefore, we must use tan, which is [tex]\frac{opposite}{adjacent}[/tex]:

[tex]tan (16)=\frac{22}{L} \\\\L*(tan(16)=22)\\\\L*tan(16)=22\\[/tex]

[tex]\frac{L*tan(16)}{tan(16)}=\frac{22}{tan(16} \\\\L=79.815=79.82 in.[/tex]

Answer:

Area = 49.15

Step-by-step explanation:

area = 0.5 * side a * side b * sin(Angle)

area = 0.5 * 10 * 12 * sin(55)

area = 60 * 0.8192

49.15

Hello !

56)

[tex]5 {x}^{2} + 8x = - 1 \\ 5 {x}^{2} + 8x + 1 = 0[/tex]

[tex]\Delta = {b}^{2} - 4ac \\ = {8}^{2} - 4 \times 5 \times 1 \\ = 64 - 20 \\ = 44[/tex]

The value of the discriminant is 44.

57) ∆>0 : there are two solutions.

58)

[tex]x_1 = \frac{ - b + \sqrt{\Delta} }{2a} \\ = \frac{ - 8 + \sqrt{44} }{2 \times 5} \\ = \frac{ \sqrt{11} - 4 }{5} [/tex]

[tex] x_2 = \frac{ - b - \sqrt{\Delta} }{2a} \\ = \frac{ - 8 - \sqrt{44} }{2 \times 5} \\ = \frac{ - \sqrt{11} - 4 }{5} [/tex]

Have a nice day

56. 44

57. 2

58. Image attached.

First, let's simplify some things. Let's make this a quadratic equation.

Moving the -1 (by adding 1 to both sides) gives us 5x^2 + 8x + 1 = 0. Note that this is the standard form of a quadratic, which is ax^2 + bx + c = 0.

Now, the discriminant. The discriminant is helpful because it tells us if we have 2 real solutions, 1 real solution, or if this equation is imaginary and thus impossible to solve using elementary techniques. If the discriminant is greater (>) than 0, then it has 2 solutions. If the discriminant equals (=) 0, it has 1 solution. If the discriminant is less than (<) 0, then it is imaginary.

The discriminant of a quadratic equation is defined as b^2 - 4ac (from the quadratic formula.) We just plug in b, a and c. b will be 8, a will be 5, and c will be 1. Now we just solve. (8)^2 - 4 * 5 * 1 = 64 - 20 = 44. Since 44 is greater than 0, we have 2 solutions for this. 44 is the discriminant. (Answer to 56.) We also have 2 solutions (answer to 57.)

Now, I'll solve the quadratic equation using the quadratic formula. I'll attach my work in an image (answer to 58.)

Hope this helped!

Answer:

with mark '√'

Step-by-step explanation:

all the details are in the attachment. Note, the black mark means 'much solutions', the blue one means 'one solution'.

Option B) is correct 0.4068  portion of crocodiles live between 17.5 and 20.5

The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.

Z-table is tabulated data that gives the information of value of  percentage of data.

standard deviation = 2.6 ;  mean (μ)= 18
lives between 17.5 and 20.5

x= (20.5+17.5)/2=19
Z = (X - μ) / σ
z=-(19-18)/2.6
z= 0.38

While compare it with the z table is gives 0.4068.

Thus the required value of Z = 0.4068

learn more about z-table here:
https://brainly.com/question/6096474

#SPJ1

The construction is to draw a parallel line to a given line AB passing through point P. To fix the error, the 3rd arc must be reconstructed. Thus the correct option is D. The third arc should be drawn centered at F.

The given construction involves drawing a parallel line through a given point P to a given line AB.

From the construction shown, drawing a straight line through P and G would not be parallel to the given line AB. Thus there is an error in the construction of the 3rd arc. To draw the required corresponding angle, the 3rd arc has to be reconstructed.

Therefore to fix the error the correct step to follow is: Option D. The third arc should be drawn centered at F.

For more clarifications on construction of a parallel line through a given point to a given line, visit: https://brainly.com/question/10582431

#SPJ1

Kindly contact a 1-on-1 tutor if more explanations are needed.

The graph that shows the solution to the given system of linear inequalities is shown below

From the question, we are to draw the graph that shows the solution to the given system of linear inequalities

The given system of linear inequalities is

y>2x+3

y<-2x-4

The graph that shows the solution to the given system of linear inequalities is shown below

Learn more on Graphing inequalities here: https://brainly.com/question/11234618

#SPJ1

Option 1 is correct. The correct solution about these functions is that The original population of State A was double of the original population of State B.

The function in the question is given as

For A:

[tex]F(x) = 4*(1.08)^x[/tex]

For B

[tex]g(x) = 2*(1.08)^x[/tex]

The exponential growth equation that is used to solve this is

[tex]h(x) = A(r)^x[/tex]

such that A is the initial and r is the rate of growth.

f(x) and g(x) are at the same rate but the exponential function is known to grow faster.

Hence the correct option is The original population of State A was double of the original population of State B.

Which conclusion is correct about the population of State A and State B? 1. The original population of State A was double of the original population of State B.

2. The original population of State A was half of the original population of State B.

3. The original population of State B was one-fourth of the original population of State A.

4. The original population of State A was one-fourth of the original population of State B.

Read more on this population here:

https://brainly.com/question/19045853

#SPJ1

Answer:

Step-by-step explanation:

honestly thats what it is

Answer:

2/16 or 0.625

Step-by-step explanation:

Find a common denominator for the two fractions. It will be 16. 3/4=12/16

7/8=14/16 or you can do it in decimal form. 3/4=.25 and 7/8= .875

.875-.25=.0.625

[tex]\large\boxed{\frac{1}{8}\ \text{miles}}[/tex]

We need to subtract Ethan's distance from Megan's. First, we need to have a common denominator in the fractions.

Multiply both the numerator and the denominator in [tex]\frac{3}{4}[/tex] by [tex]2[/tex] to get [tex]\frac{6}{8}[/tex], which is equivalent. Now, both numbers have a denominator of [tex]8[/tex] and can be subtracted.

Now, simply subtract the numerators, leaving the denominator alone.

[tex]\frac{7}{8}-\frac{6}{8}=\frac{7-6}{8}=\boxed{\frac{1}{8}}[/tex]

X = 1 4 5 6

Y = 20 8 4 0

From the function: Y = 24 - 4X

If X = 1, then Y = 24 - 4(1) = 20

If X = 4, then Y = 24 - 4(4) = 8

If X = 5, then Y = 24 - 4(5) = 4

If X = 6, then Y = 24 - 4(6) = 0

More on mathematical functions can be found here: https://brainly.com/question/12431044

#SPJ1

Answer:

C

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = z and h = w , then

A = [tex]\frac{1}{2}[/tex] zw

Answer:

C is the correct answer 100 percent sure

The solution of the linear equations will be ( -2, 4).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given equations are:-

Solving the equations by elimination method:-

2x +3y = 8

3x+y= -2

Multiply the second equation by 3 and subtract from the first equation.

2x +3y = 8

-9x -3y = 6

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

      -7x = 14

         x = -2

Out of the value of x in any one equation, we will get the value of y.

3x+y= -2

3 ( -2) + y = -2

-6 + y = -2

y = 4

The graph of the equations is also attached with the answer below.

Therefore the solution of the linear equations will be ( -2, 4).

The complete question is given below:-

Exploring Systems of Linear Equations 2x +3y =8 and 3x+y= -2. Find the value of x and y and draw a graph for the system of linear equations.

To know more about equations follow

https://brainly.com/question/2972832

#SPJ1

x - 5y = -5, -5x - 25y = 25

First, you'll need to get the x variable by itself.

x - 5y = -5
   +5    +5
      x = 0
So x is plotted on the 0.

For the second part of the first equation, you'll be looking for what the y variable represents.

x - 5y = -5
-x           -x
    -5y = -5
      5      5
       y = 1
So y is plotted on the 1 on the vertical line above the 0.

For the first part of the second equation, you'll do the same thing as in the first equation.

-5x - 25y = 25
       +25   +25
         -5x = 50
           5      5
            x = 10
So the x for this equation is plotted on 10 on the horizontal line.

For the second part of the second equation, you will do the same thing as in the first equation.

-5x - 25y = 25
+5               +5
      -25y = 30
       25      25
           y = 1.2
So the y for the second half of the second question is plotted on 1.2 on the vertical line.

Perpendicular means the lines may or may not be of equal length and they will not be perfectly in line with each other.

Parallel means the lines may or may not be of equal length but will be perfectly in line with each other.

Intersecting means the lines may or may not be of equal length but will touch each other.

By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)

Let be f and g functions, there is a composition of f in terms of g when the input of the former is output of the latter. Hence, we have the following relationships:

g(x):

- 2 → 4

f(x):

6 → - 2

By applying the definition of functions and composition between two functions, we find that (g ° f) (x) = 4 when x is equal to 6. (Correct choice: B)

To learn more on composition between functions: https://brainly.com/question/12158468

#SPJ1

The measure of the angle x is 53.13 degrees after applying the sin ratio.

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

Applying sin ratio:

sinx = 12/15

sinx = 0.8

x = 53.13 degrees

Thus, the measure of the angle x is 53.13 degrees after applying the sin ratio.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ1

Answer:

The second graph.

Step-by-step explanation:

If you plug the equation into the desmos graphing calculator, you'll get the second graph.

Hope this helped! :)