Which equation demonstrates the additive identity property?
(7 + 4 i) + (7 minus 4 i) = 14
(7 + 4 i) + 0 = 7 + 4 i
(7 + 4 i) (1) = 7 + 4 i
(7 + 4 i) + (negative 7 minus 4 i) = 0

9514 1404 393

Answer:

  II only

Step-by-step explanation:

You can simplify the inequality like this:

  3 -8 > 8 -8 + 5x . . . . . . . . subtract 8 from both sides

  -5 > 5x . . . . . . . . . . . . . simplify

  -5/5 > (5x)/5 . . . . . . . divide both sides by 5

  -1 > x . . . . . . . . . . . . simplify

I find this easier to compare to a numbers on a number line if the inequality symbol points to the left. (This is a personal preference. YMMV)

  x < -1

Now, we can see that only numbers to the left of -1 on the number line will be suitable values for x. Of those listed, only -9 is a solution.

  II only

Answer:

The x and y values of the coordinates satisfy the system of equations.

Step-by-step explanation:

[tex]when \: x = 5 \: and \: y = - 4 \\ 3x - 2y = 3(5) - 2( - 4) \\ = 15 + 8 \\ = 23 \\ \\ 2x + y = 2(5) + ( - 4) \\ = 10 - 4 \\ = 6[/tex]

Answer:

y = 33/5

Step-by-step explanation:

Distribute

3(2y-8)-y = 9

6y - 24 - y

5y - 24 = 9

Add 24 to both sides

5y = 9 + 24

5y = 33

y = 33/5

Answer:

(-3,-6)

Step-by-step explanation:

You need to solve for the system of equations.

Step-by-step explanation:

-4x+y=6

-5x-y=21

y=6+4x

-5x-(6+4x)=21

-5x-6-4x=21

-5x-4x=21+6

-9x=27

-9x÷9=27÷9

x=3

y=6+4x

=6+4(3)

=18

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7707

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Answer:

x= -1

Step-by-step explanation:

if

f(x) = -x-3

and

f(x) = -2

than

-x-3 = -2; add 3 to both sides

-x-3+3 = -2+3

-x = 1 ; multiply both sides by -1

x= -1

Answer:

Undefined

Step-by-step explanation:

The square root of a negative number does not exist in the set of real numbers so it would be Undefined

9514 1404 393

Answer:

  D(1, 2)

Step-by-step explanation:

The ordered pair is always (x-coordinate, y-coordinate).

The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.

The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.

The ordered pair describing the location of D is ...

  (x-coordinate, y-coordinate) = (1, 2)

Answer:

10x+8

Step-by-step explanation:

4( x + 2) + 6x

Distribute

4x+8 +6x

Combine like terms

10x+8

Answer:

10x+8

Step-by-step explanation:

4x+8+6x

(4x+6x)+8

10x+8

Answer:

2006

799

Step-by-step explanation:

Given the expression:

The right hand side of the sun must be equal to the left hand side ;

Therefore ;

864+2006=--------+864

The sum of 864 and 2006 must be equal to the right hand side sum ; hence

864+2006= 2006 +864

Similarly, the left hand side and right havd side must also be equal here ;

5351 + 574 + 799 = 574 + 5351 + 799

Hence, the missing value is 799

Answer:

Step-by-step explanation:

x + ab = p

x = p - ab

Answer:

y = - 4.5x + 120

75 = - 4.5x + 120

x = 10 minutes

Step-by-step explanation:

To model the scenario described above, we use the linear equation model ;

Where ;

y = bx + c ; c = intercept ; b = slope ; y = altitude at time x

The initial altitude of the hot air Ballon here is the intercept = 120 meters

The descent rate = 4.5 m per minute is the slope ; since it is descent, then the slope will be negative as the altitude will reduce.

Hence, we have ;

y = - 4.5x + 120

Hence, the time altitude will be 75 cabnbe modeled as :

y = 75

75 = - 4.5x + 120

75 - 120 = - 4.5x

- 45 = - 4.5x

x = 10 minutes

Answer:

mKML+mMLK=mJKM

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, equilateral, isosceles, and right triangle.

As shown in the diagram, polygon MLK is a triangle. The sum of angles in a triangle is equal to 180°, hence:

m∠MLK + m∠KML + m∠MKL = 180° (sum of angles in a triangle).

m∠MKL = 180 -  (m∠MLK + m∠KML)      (1)

Also along line JL, the sum of angles on one side of a straight line is 180°, therefore:

m∠JKM + m∠MKL = 180° (sum of angles in a straight line)

m∠JKM + m∠MKL = 180°                (2)

From equations 1 and 2, equating give:

m∠JKM + [180 -  (m∠MLK + m∠KML)) =  180

m∠JKM + 180 - m∠MLK - m∠KML =  180

m∠JKM = m∠MLK + m∠KML

Answer:

0

Step-by-step explanation:

Ignore the next 2 numbers after 0.05. To the nearest whole number, round 0.05 to the nearest tenth, 0.1. Then round that to the nearest whole number, 0, which is your answer.

Answer:

The missing value is 5/2

Step-by-step explanation:

Answer:

A’(-5,5)

Step-by-step explanation:

x’ = 2.5 * -2 = -5

y‘ = 2.5  * 2 = 5

Answer:

I think its b but im not sure

Step-by-step explanation:

Answer:

Ac CA is your answer

Step-by-step explanation:

MARK ME AS BRAINLIEST

AC and CA

Step-by-step explanation:

[tex]line \: which \: has \: endpoint \: \\ \\ A \: and \: C \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ it \: shows \: that \: line \: starts \: from \: \\ \\ A \: \: and \: ends \: with \: C \\ \\ so \: \: its \: name \: is \: \: \: \: AC \\ \\ hope \: it \: is \: helpful \: to \: you....[/tex]

Answer:

It would be Linear

Step-by-step explanation:

Answer:

i think its quadratic because the graph isnt straight and has different slopes between the x,y.

Step-by-step explanation:

Answer:

observational study

Explanation:

The above is an example of observational study. An observational study merely observes and takes note, it does not try to interfere or intervene with the sample by deciding who would be exposed or not exposed to a certain explanatory variable(such as a disease). On the other hand, the experimental study divide up samples into groups, having the experimental group and the control group. This way the researcher interfers with the sample: The experimental group being the group exposed to the independent/explanatory variable while the other/control group is not.

Answer:

The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Central Limit Theorem for the sample mean:

Sample of size n, and thus:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]Z = \frac{X - \mu}{s} = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Probability of the sample mean exceeding a value:

The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Answer:

a. [tex]P(2 \leq X \leq 3) = 0.5[/tex]

b. [tex]P(X \geq 1) = 0.9[/tex]

c. [tex]P(X < 2) = 0.25[/tex]

d. [tex]P(X > 3) = 0.25[/tex]

Step-by-step explanation:

We are given the following distribution:

[tex]P(X = 0) = 0.1[/tex]

[tex]P(X = 1) = 0.15[/tex]

[tex]P(X = 2) = 0.25[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.15[/tex]

[tex]P(X = 5) = 0.1[/tex]

a. Two or three bars

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.25 + 0.25 = 0.5[/tex]

Thus:

[tex]P(2 \leq X \leq 3) = 0.5[/tex]

b. At least one bar

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1 = 0.9[/tex]

Thus:

[tex]P(X \geq 1) = 0.9[/tex]

c. Fewer than two bars

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.15 = 0.25[/tex]

Thus:

[tex]P(X < 2) = 0.25[/tex]

d. More than three bars

[tex]P(X > 3) = P(X = 4) + P(X = 5) = 0.15 + 0.1 = 0.25[/tex]

Thus:

[tex]P(X > 3) = 0.25[/tex]

Answer:

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

congruent means they are the same and all sides of a square are the same size.

Answer:

The actual distance is of 21.76 kilometers.

Step-by-step explanation:

Scale problems are solved by proportions, using a rule of three.

The scale on a map is given as 1 : 320,000

This means that each unit on the map represents 320,000 units of distance.

Distance between the top of the two mountains on the map is 6.8cm

Then

1 cm - 320,000 cm

6.8 cm - x

Applying cross multiplication:

[tex]x = 6.8*320000 = 2176000[/tex]

Distance in kilometers

To convert from centimeters to kilometers, we divide by 100000. So

2176000/100000 = 21.76

The actual distance is of 21.76 kilometers.

Answer:

104/4 pi

Step-by-step explanation:

Answer: The circumference of a circle is:

Radius = r, Diameter = d, C = Circumference

C=2πr (as 2r=d)

C=πd

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

If the radius of the circle is 26" then its diameter must be 52".

This means that the bicycle wheel has a circumference of 52π".

I'm going to divide 52π" into 360 parts (because a circle is made up of 360 degrees). I'll then multiply this value by 80 to give you an answer.

Answers:

=============================================================

Explanation:

The simple interest formula is

i = p*r*t

where in this case,

So,

i = p*r*t

i = 3000*0.10*0.25

i = 75 is the amount of interest earned

This adds onto the initial deposit to get the final balance when the CD matures (ie when you're able to withdraw the money without penalties)

The balance at maturity is p+i = 3000+75 = 3075 dollars

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

In short, you deposit $3000 into the CD and have to wait 3 months for the amount to update to $3075.

Answer:

20

Step-by-step explanation:

diameter=√(12²+16²)=√[4²(3²+4²)]=4√(9+16)=4√25=4×5=20

Answer:  (1, -9)

Hope this helped!

Step-by-step explanation:

9514 1404 393

Answer:

  no

Step-by-step explanation:

The measures 14, 18, 33 cannot correspond to the sides of a triangle. The two short sides total 32 in length, so cannot meet up with the ends of the side whose length is 33. A triangle cannot be formed.

Answer:

Step-by-step explanation:

Statements                                 Reasons

DA  ≅ WG                                   Given

WA ≅ DG                                    Given

DW ≅ WD                                  Reflexive property

ΔDAW ≅ ΔWGD                        SSS