Determine the value of f−1(5) given that f(x)=x3−2 .

Enter your answer to the nearest hundredth.

Answer: The solution is the point (-14, -54)

Step-by-step explanation:

When we have a system of linear equations like:

y = a*x + b

y = c*x + d

The solution of this system is the point (x, y) that is a solution for both equations, if we graph the lines, this point would be the point where the lines intersect.

To start with this, we need to find the equations of the lines, we will use the following:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, for the first table, we can use the points: (-3, -10) and (0, 2)

The slope of this line is:

a = (2 - (-10))/(0 - (-3)) = 12/3 = 4

then we have:

y = 4*x + b

To find the value of b, we can just replace one of the points in the equation, for example, we can use the point (0, 2), this means that we need to replace x by 0, and y by 2.

2 = 4*0 + b

2 = b

Then the equation for the first table is y = 4*x + 2

For the second table, we can use the points (0, -12) and (3, - 3)

Then the slope is:

a = (-3 - (-12))/(3 - 0) = 9/3 = 3

Then we have:

y = 3*x + c

And to find the value of c, we can do the same as before, now we use the point (0, -12) then:

-12 = 3*0 + c

-12 = c

Then the equation for this line is:

y = 3*x - 12

The system of linear equations is then:

y = 4*x + 2

y = 3*x - 12

To find the solution of the system, we must have that y = y, then we can write:

4*x + 2 = y = 3*x - 12

4*x + 2 = 3*x - 12

Now we can solve this for x.

4*x - 3*x = -12 - 2

x = -14

x = -14

Now we can replace this in one of the equations to find the value of y.

y = 3*(-14) - 12 = -54

Then the solution is the point (-14, -54)

Answer:

X = 30°, y = 15° and z = 150°.

Reason: Look below.

Step-by-step explanation:

Hey there!

When we look into the figure, we find that;

For x:

x+ 2x + 90° = 180° {Being linear pair}

or, 3x = 180°-90°

or, 3x = 90°

or, x= 90°/3

Therefore, X = 30°.

For y :

2y = x = 30° {Alternate angles are equal}

or, 2y = 30°

y = 30°/2

Therefore, y = 15°

For z:

2y + z = 180° { Being linear pair}

or, 30°+z = 180°

or, z = 180°-30°

or, z = 150°

Therefore, z = 150°.

Hope it helps...

The value for the degrees of freedom in order to calculate the chi squared statistic is 12

From the question, we have the following parameters that can be used in our computation:

Rows = 4

Column = 5

The value for the degrees of freedom in order to calculate the chi squared statistic is

(number of rows - 1) x (number of columns - 1).

In this case, the researcher has a table with 4 rows and 5 columns, so the degrees of freedom would be

(4-1) x (5-1)

Evaluate

= 3 x 4 = 12.

Read more about degree of freedom at

https://brainly.com/question/28235111

#SPJ1

Answer:

x is 8........ correct answer

Answer:

Probability isn't my strong subject, so please review carefully.

Step-by-step explanation:

The possible numbers:

Number  Count    Probability    Chance

    1              2               2/5           40%

    3              1               1/5             20%

    5             2               2/5            40%

Sum             5                  1             100% [chance you'll get any number]

The probability of getting the number 1 is 2/5 or 40% on the first draw.  The probability of getting 6 1's in 10 draws is:

\((2/5)^{10}\) = 0.0001049

Try it to determine the experimental probability.  After 10,000 tries you should have at least one success.

Answer: I am not sure if you're accustomed to using a z-score and table of probabilities or technology, so I will answer using both!

a) Since you're choosing one person from the population, you will use the mean and standard deviation from the population.  z= (210.9-197.5)/8.6 = 1.56 Using a table of normal probabilities,

P(x>210.9)= 1-P(z<1.56)= 1- 0.9406=0.0594

Using technology: normalcdf(210.9, 1E99, 197.5, 8.6)=0.0596

b) Since you're calculating the population for a sample to occur, you need to get a mean of the sampling distribution and standard deviation of the sampling distribution.

Meanpop=Meansampling dist.=197.5

St. Devsampling dist.= Stdpopulation/√n = 8.6/√15 = 2.22

Using technology, P(X>196.20)= normalcdf( 196.20, 1E99, 197.5, 2.22) = 0.7209

c) You only have to worry about the sample size in a sampling distribution if you either do not know the shape of the distribution of the population or if the distribution of the population is not normally distributed. Since this population is normally distributed (as stated in the given information), then your sample size does not have to be greater than 30.

Hope this helps! I can solve part b using a z-score if you need me to.

Step-by-step explanation:

Answer:

Step-by-step explanation:

An event that will have a sample space of S = {g, b} include the following: C. Flipping a two-sided coin with one side green and the other side blue.

In Mathematics and statistics, a sample space can be defined as a set or collection of possible outcomes (results or outputs) that are obtainable from a random experiment. Mathematically, a sample space is represented or denoted by using the symbol, "S."

Additionally, a sample space may contain a number of outcomes (results or outputs) that depends on the experiment. Generally speaking, the subset of possible outcomes (results or outputs) of that are obtainable from an experiment is typically referred to as events.

In this context, we can reasonably infer and logically deduce that "Flipping a two-sided coin with one side green and the other side blue" is an event which would have a sample space that is modeled by this mathematical expression;

S = {g, b}

Read more on sample space here: https://brainly.com/question/29911847

#SPJ1

Answer: C: Flipping a two-sided coin with one side green and the other side blue.

Answer:

The answer is 0

Step-by-step explanation:

Answer:

\(\frac{3+/-i\sqrt{55} }{2}\)

Step-by-step explanation:

\(x^2-3x=16\)

Subtract 16 from both sides;

\(x^2-3x-16=0\)

\(\frac{-(-3)+/-\sqrt{(-3^2)-4(-16)} }{2}=\frac{3+/-\sqrt{9-64} }{2}=\frac{3+/-\sqrt{-55} }{2}=\frac{3+/-\sqrt{55i^2} }{2} =\frac{3+/-i\sqrt{55} }{2}\)

Step-by-step explanation:

\( = 4 {x}^{5} \times 5 {x}^{6} \)

\( = (4 \times 5) {x}^{5 + 6} \)

\( = 20 {x}^{11} \)

Answer:

1. x  =  − 7  +  2 y

2. x  =  1  −  2 y /3

Step-by-step explanation:

Answer:   [1]    x + 2y = 7

  [2]    3x - 2y = -3

Answer:

gallon

Step-by-step explanation:

larger than quart pint and cup

The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

Read more on mathematical expressions here:https://brainly.com/question/1859113

#SPJ1

Answer:

\( x+y = 125\)   (1)

\( 5x+8y = 775\)   (2)

We can solve for y from equation (1) and we got:

\( y = 125-x\)   (3)

And replacing (3) into (2) we got:

\( 5x +8(125-x) = 775\)

And solving for x we got:

\( 1000-3x = 775\)

\( 3x= 225\)

\( x=75 \)

And solving for y from (3) we got:

\( x= 125-75 =50\)

And the solution would be x = 50 and y =75

Step-by-step explanation:

For this problem we have the following system of equations:

\( x+y = 125\)   (1)

\( 5x+8y = 775\)   (2)

We can solve for y from equation (1) and we got:

\( y = 125-x\)   (3)

And replacing (3) into (2) we got:

\( 5x +8(125-x) = 775\)

And solving for x we got:

\( 1000-3x = 775\)

\( 3x= 225\)

\( x=75 \)

And solving for y from (3) we got:

\( x= 125-75 =50\)

And the solution would be x = 50 and y =75

Answer:

1/6

Step-by-step explanation:

9: 9,18,27,36,45,54,63,72,81,90

10: 10,20,30,40,50,60,70,80,90,100

Since, 90 is the LCM of 9 and 10 that turns into your denominater then your equation turns into this...

5/90 x 3/90

The denomineter stays the same so you get 90 then 5 x 3 equals 15 so you get 15 and in total that gives you 15/90. Divide the top and bottom by the greatest number that will divide both numbers exactly which gives you 1/6

HOPE THIS HELPED :D

Answer:

41 meters

Step-by-step explanation:

\(\frac{31}{64}\) = \(\frac{19.8}{x}\)

31x = (19.8)(64)

31x = 1267.2  Divide both sides by 31 and round

x = 41

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The given expression that is an example of additive identity is 07+0=7

Additive identity is the property where the sum of any number and zero (0) is equal to the original number.

That is to say, adding zero to any number does not change its value.

Formally, for any real number a, the additive identity property can be expressed as:

a + 0 = a

The given expression that is an example of additive identity is;

07+0=7

This property holds true for all real numbers, integers, fractions, and even complex numbers.

The number 0 acts as the additive identity element in this context. It is called an identity element because it preserves the identity of the number being added to it.

Learn more about additive identity here: https://brainly.com/question/29334973

#SPJ2

Answer:

3.8

Step-by-step explanation:

.8 is in the tenths

Answer:

#carryonlearning

Answer:

The question is not complete

B.

B, is the true comparison

Answer:

D. -3 + 2i and E. 3+2i are the zeroes for the equation.

Step-by-step explanation:

Answer:

46 ≤ n ≤ 60   ( C )

Step-by-step explanation:

using the given null hypothesis to check if the samples differ from originally values

given that:  frequency ( f ) ≥ 5

N = 600

hence : n * 0.11 ≥ 5

therefore : n ≥ 45.45

next : also  n / N ≤ 0. 10

therefore: n  ≤  0.1 * 600

therefore all possible sizes will lie between  

46≤n≤60

Answer:

31.4 inches

Step-by-step explanation:

The circumference of a circle has the formula 2πr.

2 × π × 5

= 10 × 3.14

= 31.4

31.4 inches of ribbon is needed to go once around the rim.

Answer:

15.7 inches of ribbon.

Step-by-step explanation:

This question is basically asking for the circumference of the glass vase's rim. We can calculate that by multiplying the diameter by π, which in this case, is 3.14.

The diameter is 5 inches, so all you need to do is 5 * 3.14 = 15.7 inches of ribbon.

Hope this helps!

Answer:

6... if the serving size is 1/6 of the package, that means it will serve 6 people

Step-by-step explanation:

To make a cake :-

Quantity of flour needed = 500 g

Quantity of butter needed = 450 g

Quantity of sugar needed = 470 g

Quantity of mixed fruit needed = 1.8 kg = 1000 g + 800 g

Quantity of eggs needed = 70 × 4 = 280 g

It's weight after adding all the ingredients =

=500 + 450 + 470 + 1000 + 800 + 280

= 3500 g

Mass that got lost while baking the cake :

\( = \frac{12}{100} \: of \: 3500\)

\( = \frac{12}{100} \times 3500\)

\( =\frac{(12 \times 3500)}{100} \)

\( =\frac{42000}{100} \: g\)

\( = 420 \: g\)

Final mass = Initial mass - mass that got lost

\( = 3500 - 420 \: g\)

\( = 3080 \: g\)

∴ The final mass of the cake is 3080 g .

Using mathematical operators, Hideo withdraw $500

In this problem, we have to start from his initial balance before the interest and deposit and subtract the current balance from it to determine how much he withdraw.

The basic mathematical operations are the four arithmetic operations that we have already learned in the above sections.

Addition and subtraction are inverse operations of each other. It means if the addition of two numbers gives the third number, then subtraction of an added number from the third number will result in the original number.

Using mathematical operators like addition and subtraction, we can represent this as

New balance = old balance + interest + deposit - withdrawal

withdrawal = 7147. 50 + 1000 + 32.58 - (7680.08)

withdrawal = 500

Hideo withdraw $500

Learn more on mathematical operators here;

https://brainly.com/question/27801816

#SPJ1

Answer:

Larger force= 66.28 pounds

Step-by-step explanation:

The angle of the resultant force 80 pounds = 180-(52+20)

The angle of the resultant force 80 pounds = 180-72

The angle of the resultant force 80 pounds = 108°

The larger force is the force with 52°

Let the larger force be x

Magnitude of the larger force

x/sin52 = 80/sin108

X= sin52 *(80/sin 108)

X= 0.7880*(80/0.9511)

X = 0.7780*(84.1131)

X = 66.28 pounds