What is the equivalent numerical value of the expression 2−4×27

Answer:

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

Step-by-step explanation:

Let [tex]f(x) = g(x)[/tex], [tex]f(x) = \ln (x+5)-1[/tex] and [tex]g(x) = x^{3}-2\cdot x + 1[/tex], then we have the following implicit equation:

[tex]\ln (x+5)-x^{3}+2\cdot x -2 = 0[/tex] (1)

This equation cannot be solved by analytical means. There are two different strategies to solve this expression: (i) Numerical methods, (ii) Graphical methods. We decide to use the second method:

Let suppose that we use this function [tex]h(x) = \ln (x+5) -x^{3}+2\cdot x - 2[/tex]. By the help of a graphing tool, we find the smallest solution such that [tex]h(x) = 0[/tex]. There are three possible solutions: [tex](x_{1},y_{1}) = (-1.577,0)[/tex], [tex](x_{2},y_{2}) = (0.18,0)[/tex], [tex](x_{3}, y_{3}) = (1.376, 0)[/tex]

There are two possibilities of determine which solution is the smallest one:

(i) The smallest solution is the value of [tex]x[/tex] has the smallest distance with respect to origin: [tex](x_{2},y_{2}) = (0.18,0)[/tex]

(ii) The smallest solution is the most negative value: [tex](x_{1},y_{1}) = (-1.577,0)[/tex]

The smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.

Given functions;

f(x) = ln(x + 5) – 1

g(x) = x³ – 2x + 1

After graphing both the function, we get the three solutions of the given equation,

[tex]\rm \left(-1.577,0.223\right)[/tex]

[tex]\left(0.18,0.645\right)[/tex]

[tex]\left(1.376,0.853\right)[/tex]

Hence,the smallest smallest solution of f(x) = g(x) will be [tex]\rm \left(-1.577,0.223\right)[/tex]

To learn more about the function, refer to:

https://brainly.com/question/5245372

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Answer:

Step-by-step explanation:

You can find the cube root of 2 and multiply it by the 6th root of 5.

cube root(2) = 2^(1/3) = 1.2599

6th root of (5) = 0.7418

Product = 1.2599 * 0.7418 = .9346

You need a key that will do fractional powers. Look around on your calculator for ^ that key y^x  or x^y.

Using one of those keys, you would put in 2 ^ 0.33333333 =

If your calculator does not have this key (I recommend you buy one that does. They are less than 10 dollars), then you can use the calculator on windows.

The rule says that the sum of any two sides has to be smaller than the third side so, no it can't

Answer:

Step-by-step explanation:

Principle x Rate x Time

(550,000) (0.02) (360) = 3,960,000

Interest = 3,960,000

Answer:

Not congruent.

The Angle-Side-Side Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. If two triangles have two congruent sides and a congruent non included angle, then triangles are NOT NECESSARILLY congruent.

Step-by-step explanation:

I think it's "D. -16"

I could be wrong though just saying!

Answer:

34

Step-by-step explanation:

basically you need to actually put something in the black photo there

Answer:

its black Ф_Ф

Step-by-step explanation:

Answer:

X+3y=17  is  x=−3y+17

-2x+3y=-7  is  x= 3 /2 y+ 7 /2

Step-by-step explanation:

Answer:

[tex]2x + 10 = 28 \\ 2x = 28 - 10 \\ 2x = 18 \\ 2x \div 2 = 18 \div 2 \\ x = 14[/tex]

Answer:

Volume= Length × Width × Height

Answer:

24 markers

Step-by-step explanation:

24+16=40

40-16=24

Answer:

p = 0.0116

Step-by-step explanation:

We are given;

Population mean; μ = 200 mg

Sample mean; x¯ = 194.3 mg

Standard deviation; σ = 21 mg

Sample size; n = 70

Formula for z-score is;

z = (x¯ - μ)/(σ/(√n))

z = (194.3 - 200)/(21/√70)

z = -5.7/2.51

z = -2.27

From the z-score table attached, the p-value at z = -2.27 is p = 0.0116

It goes completely diagonal so True

Have a good day!

(It also has matching points at the middle if you need more evidence XD)

Answer: Not a right-angled triangle

Step-by-step explanation:

Given

The sides of a triangle are [tex]7\ m, 8\ m, \text{and}\ 10\ m[/tex]

For a right-angle triangle, it must satisfy the Pythagoras theorem

[tex]a^2+b^2=c^2[/tex]

i.e. the square of the larger side must be equal to the sum of the square of the remaining two sides

Here,

[tex]\Rightarrow 7^2+8^2\ ?\ 10^2\\\Rightarrow 49+64\ ?\ 100\\\Rightarrow 113\neq 100[/tex]

Therefore, it is not a right-angle triangle

Answer:

The average or mean of the two fights would be 19.5

Step-by-step explanation:

Basically all you have to do for this problem is add the total scores of the two fights and then divide by 2 to find your mean. 32 plus 7= 39/2= 19.5

Answer:

9

Step-by-step explanation:

2:5=7

therefore Jaden got 63÷7

=9

Answer:

Its up then to the left power is 13 so (98-=) is the 4

Step-by-step explanation:

It works because if you use the electron theory by leonard jefford then it will be 98-74wis the 4 to the 13

Answer:

Step-by-step explanation:

its c

(6,60)

Tn=-2n+19

Step-by-step explanation:

Well in south africa we use Tn

Tn=a+(n-1)d

a=is the first term in the sequence which is 17

d=is the the difference between the terms which is - 2

Tn=17+(n-1)(-2)

Tn=17-2n+2

Tn=-2n+19

Answer:

5/6 ÷ 1/12 = 10

Step-by-step explanation:

5/6 ÷ 1/12     =      5/6 x 12/1 = 60/6 = 10

Proof:

5/6 tank = 10/12 tank

If each trip takes 1/12 tank, then 10 ÷ 1 = 10 trips

Answer: i think its 36

Step-by-step explanation:

126 = x + 58

x = 126 - 58

x = 68

hope this helps... !!!

A graph that shows the number of lawns you must cut to earn back the money spent on the lawn mower include the following: B. graph B (top right).

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + c

Where:

Based on the information provided above, a linear equation that models the situation with respect to the rate of change is given by;

y = mx + c

y = 20x - 80

In conclusion, we can logically deduce that the slope is equal to $20 while the y-intercept is $80.

Read more on slope-intercept here: brainly.com/question/7889446

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Answer:

Step-by-step explanation:

volume=3×3×7=63 inch³

Answer:

im pretty sure its b

Step-by-step explanation:

bc 5 would be equal to or less than x bc the dot is on 5

Answer: It's either B or D

Step-by-step explanation: You might be forgetting to show something but  based on where the dot is placed its either b or d.

When you draw the shape out you dont get a triangle