Which complex number is represented by the graph

Answer:

Leg Leg or LL Theorem is the theorem which can be used to prove the congruence of two right triangles.

Step-by-step explanation:

if the legs of one right triangle are congruent to the legs of another right triangle them the two right triangles are congruent the principal is known as leg leg theorem. Hope this helps!!!

Answer:

4.2

Step-by-step explanation:

Constant of proportionality = y/x = 8.4 / 2 = 4.2

Answer:

Step-by-step explanation:

To find the median, we need to find the middle value when the data is arranged in increasing order. We can use the cumulative probability to do this:

Number of Shows Streamed Probability Cumulative Probability

0 0.095 0.095

1 0.203 0.298

2 0.326 0.624

3 0.187 0.811

Since the cumulative probability for 2 is the smallest value greater than 0.5, the median is 2. Therefore, the median number of TV shows streamed is 2.

The histogram appears to have a roughly symmetric shape, which supports the assumption that the distribution is approximately normal.

Answer:

1. 1119.982

2. 315.266

3. 297.866

Answer:

1. 1119.982

2. 315.266

3. 297.866

Answer:

Prime Factors of 545 are 5, 109, and usually expressed as 5 x 109. 4.

hope this is right! :) -liaa

Question: What is the solution to 2x^2+8x=x^2-16?

Answer: x=-4 is what I got I'm not sure if u meant to put one of the 4's as -4 but yeah I got -4 and did it twice and got -4 again. Hope that helped.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer

x < - 3

Explanation

X is a number less than 3

A: Looking at the last two rows of the table of f(x), the slope is simply (3-0)/(1-0) = 3, while the slope of g(x) is the coefficient of the variable x, which is 7.

B. y-int is the y value when x = 0. f(x) has a y-int of 0, which g(x) is 2. The latter has a greater y-int.

Answer:

40 percent

Step-by-step explanation:

Use of proportion

50 (2) = 100%

20 (2) = 40%

      do the same thing; what you do on the bottom you do on the top too

Answer:

I believe it is 40%.

Step-by-step explanation:

Original Car price = $20,000

Price increase after 5 years = 25%

To calculate the price after 5 years, first multiply the original price (20,000) by the percentage increase in decimal form ( divided by 100) to obtain the increase amount:

20,000 x (25/100) = 20,000 x 0.25 = $5000

Finally, add the increase amount to the original price:

20,000+5,000 = $25,000

a. To complete the table, we have to assign the corresponding study hours per week to the hours worked per week.

For example, for the first interval 0≤h<4, the credits taken are 18 (according to the first table). When the credits taken are 18, the study hours per week are 39 (according to the second table). It means that for the interval 0≤h<4, the study hours per week is 39.

The values of this table will be, respectively:

39, 32, 24, 21, 17, 14, 12.

d. An student works between 12 and 16 hours every week, that allows him take 15 credits, which means that he has to use 21 hours to study. He wants to study 32 hours per week, that way, he can take 17 credits. To achieve it he needs to reduce its working hours to 4 to 8 hours per week, that way he would be able to take 17 credits and study 32 hours per week.

Answer:

64.29%

Step-by-step explanation:

The surface area of the rectangular prism is of 144 m².

A rectangular prism is a solid that has three dimensions:

It's surface area is given by:

\(S = 2(lw + lh + wh)\)

In this problem, the dimensions are: \(l = w = 6, h = 3\).

Hence:

\(S = 2[6(6) + 6(3) + 6(3)] = 144\)

The surface area of the rectangular prism is of 144 m².

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Answer:

15% interest

Step-by-step explanation:

because it's 15 out of 100 so that would be 15%

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

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Answer:

B)

Step-by-step explanation:

They are intersected to make a same side interior angle.

Answer:

A) alternate interior angles are always congruent.

The probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%

It is a branch of mathematics that deals with the occurrence of a random event.

Given,

Amounts of weight that male college students gain during their freshman year are normally distributed

mean of μ = 1.1 kg and

Standard deviation of o= 4.6 kg.

Z score=x-μ/o

=25-1.1/4.6

=23.9/4.6

=5.196

Z score=x-μ/o

=25-1.1/0

=0

Z score=25-1.1/3

=23.9/3

=7.966

By observing the z table the probability that their mean weight gain during freshman year is between 0 kg and 3 kg is 70%

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Answer:

0.147

Step-by-step explanation:

?/2.95=5/100

5x2.95=14.75

14.75 divided by 100 = 0.147

The logically equivalent statement to p → q is:

~q → ~p

The conditional statement:

p → q

Assuming p and q are propositions, the conditional statement may be expressed as:

"If p holds true, then q follows suit. "

'

Whenever p is true, q is true as well. This implies that if q is false, then p must also be false.

We can rephrase this statement cleverly using the negative propositions, which include the opposite or contradictory statements.

~p  and ~q

These mean:

Not p and Not q respectively.

Then the statement:

"If q is not true, then p is not true"

Is written as:

~q → ~p

So this is the logically equivalent statement.

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The Complete Question

Given a conditional statement p → q, which statement is logically equivalent?

~p → ~q

~q → ~p

q → p

p → ~q

Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer:

midsegment = 23

Step-by-step explanation:

the midsegment is half the sum of the bases, that is

midsegment = \(\frac{18+28}{2}\) = \(\frac{46}{2}\) = 23

Answer:

Pitagoras=29

Step-by-step explanation:

H2=21x21+20x20

h2=841

H=29

Answer:

(Y∩Z)∩X = {r,a,e}

Step-by-step explanation:

U = {a,b,c,d,e,f,............,z)

X = { t,r,i,a,n,g,l,e}

Y = {t,r,a,p,e,z,o,i,d}

Z = {h,y,p,e,r,b,o,l,a}

Firstly,

Y∩Z = {t,r,a,p,e,z,o,i,d} ∩  {h,y,p,e,r,b,o,l,a}    [Intersection : Common Elements]

=> Y∩Z = {r,a,p,e,o}

Now,

(Y∩Z)∩X =  {r,a,p,e,o} ∩ { t,r,i,a,n,g,l,e}

=> (Y∩Z)∩X = {r,a,e}

The length of side AB  of this rectangle is 5 units

The cooridnates of the rectangle are given as:

A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4).

The length of side AB is calculated as;

AB = √(x1 - x2)^2 + (y1 - y2)^2

This gives

AB = √(-8 + 3)^2 + (-6 + 6)^2

Evaluate

AB = 5

Hence, the length of side AB  of this rectangle is 5 units

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Complete question

Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4).

Given these coordinates, what is the length of side AB of this rectangle?

Answer:

75

Step-by-step explanation:

Answer:

77

Step-by-step explanation:

Just do simple subtraction 415-338=77