Select the correct answer. Two line segments are parallel, and each is 8 cm long. How many rectangles can be constructed using this information?
A.0
B.1
C.2
D.4
E.infinitely many

1/17 is  the probability that his GPA .

What is the simple definition of probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place.

                      Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

If a student has a GPA 3.0 or higher , she has a chance 0.8 getting in a preferable major with a GPA lower than 3.0, the chance will drop to 0.2 . Suppose 20% of the students have their GPA's> 3.0" .

If frank fails to get in this perferable major , then the probability that his GPA is 3.0 or higher is equal to 4/5, 5/18, 1/5 , 1/17

              GPA ≥ 3

        P(P/G) = 0.8

        P(P/Gc ) = 0.2

               P(G) = 0.2

                   = { 1 - 0.8 } 0.2/ { 1 - 0.8 } 0.2 + { 1 - 0.2 } { 1 - 0.2 }

                       = 1/17

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Answer:

\(\displaystyle{f(x)=3^x-5}\)

Step-by-step explanation:

Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.

Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:

\(\displaystyle{f(x)=3^x-5}\)

or A choice.

Answer:

Austin = 38

Atlanta = 89

Chicago = 89

Step-by-step explanation:

First, solve for x. All angles together equal 180. Set your formula up as

180 = 2x - 12 + 2x + 3 + 4x - 11

180 = 8x -20

180 + 20 = 8x

200 = 8x

200 / 8 = x

25 = x

Now substitute 25 in place of x

Austin

2x - 12

2*25-12 = 38

Atlanta

4x-11

4*25-11 = 89

Chicago

2x+3

2*25+3 = 53

Add all your angles together to check your work  

Answer:

?????

Step-by-step explanation:

Answer:

Step-by-step explanation:

It’s 24

Answer:

b.12 inch squared

Step-by-step explanation:

6 feet become 3 inches and 8 feet becomes 4 inches 3×4 = 12

Answer:

Step-by-step explanation:

Hello 20000+100000000=?

Answer:

They were going at 15 mph. Scroll down for step-by-step! :)

Step-by-step explanation:

2 hours, 30 miles. 30 divided by 2 :)

Answer: Their speed was 15mph

Step-by-step explanation: 30÷2=15mph

Answer:

13)

Given:

x = 3

y = 1.5

We exchange these values into our equation (2x + 4y + 3x);

2x + 4y + 3x

Altered, would be:-

2(3) + 4(1.5) + 3(3)

6 + 6 + 9

= 21

15) First, we need to find the volume of the cube;

1/2(one side), but since all sides to a cube are equal we multiply that length by itself 3 times.

So;

1/2 x 1/2 x 1/2 = 1/8 is the volume of one cube.

Now we find the rectangular prism's volume, using the formula;

V(volume) = W x H x L

Where 'W' represents the width, 'H' represents the height, and 'L' represents the length.

Substitute these values in our formula:

V = W x H x L

V = 2 1/2 x 8 x 1/2

V = 5/2 x 8 x 1/2

V = 5/2 x 8/2

V = 5/2 x 4

V = 10

So now, we divide the total volume by the volume of one cube to get the total of how many cubes would be needed to fill this prism.

10 ÷ 1/8

10 x 8/1

10 x 8

= 80

Check the picture below.

Answer:

1/4

Step-by-step explanation:

if you subtract 12 - 4 you get 8 and 4/8 = 1/4

The domain of the function f(x) that has a range of [-2, ∞) is [-2, ∞)

The inverse of a function that maps x into y, maps y into x.

The given coordinates of the points on the radical function, f(x) are; (-3, -2), (1, 0), (6, 1)

To determine the domain of

\( {f}^{ - 1}( x)\)

The graph of the inverse of a function is given by the reflection of the graph of the function across the line y = x

The reflection of the point (x, y) across the line y = x, gives the point (y, x)

The points on the graph of the inverse of the function, f(x), \( {f}^{ - 1} (x)\) are therefore;

\(( - 3, \: - 2) \: \underrightarrow{R_{(y=x)}} \: ( - 2, \: - 3)\)

\(( 1, \: 0) \: \underrightarrow{R_{(y=x)}} \: ( 0, \: 1)\)

( 6, \: 1) \: \underrightarrow{R_{(y=x)}} \: ( 1, \: 6)

The coordinates of the points on the graph of the inverse of the function, f(x) are; (-2, -3), (1, 0), (1, 6)

Given that the coordinate of point (x, y) on the image of the inverse function is (y, x), and that the graph of the function, f(x) starts at the point (-3, -2) and is increasing to infinity, (∞, ∞), such that the range of y–values is [-2, ∞) the inverse function, \( {f}^{ - 1}( x)\), which starts at the point (-2, -3) continues to infinity, has a domain that is the same as the range of f(x), which gives;

The domain of the inverse of the function, \( {f}^{ - 1}( x)\), using interval notation is; [-2, ∞)

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Answer:

4 litres

Step-by-step explanation:

First, we are going to find 60% of 20 litres.

20 × \(\frac{60}{100}\) = 12 litres

∴ Pure milk 12 litres.

Now we find 40% of 20 litres.

20 × \(\frac{40}{100}\) = 8 litres

To find the quantity of water to be added we subtract the 8 litres from the 12 litres.

12 - 8 = 4 litres

∴ 4 litres of water should be added so that pure milk becomes 40%

Answer:

\(6 \sqrt{8} \sqrt{2} = 6 \sqrt{16} = 6(4) = 24\)

B is the correct answer.

Answer:

As an autistic dyslexic person, i can confirm your question is held in a silly way as possible

Answer:it’s true

Step-by-step explanation:I’ve done it

Answer:

true

Step-by-step explanation:

Answer:

there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

Step-by-step explanation:

The counting principle states that if there are n ways to do one thing and m ways to do another, then there are n x m ways to do both.

In this case, we want to determine how many ways we can select 3 batteries out of 6. Using the counting principle, we can break down the selection process into three steps:

Select the first battery. There are 6 choices for the first battery.

Select the second battery. There are 5 choices left for the second battery, since we've already selected one.

Select the third battery. There are 4 choices left for the third battery.

Using the counting principle, we can multiply the number of choices for each step to get the total number of ways to select 3 batteries:

6 x 5 x 4 = 120

Therefore, there are 120 possible points in the sample space if we select 3 batteries at random from a bag containing 6 batteries of different brands.

All solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9 are (3,18), (-3,-18), (0,9), (-2,13), and (2,13).

To find all solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9, we need to solve for the intersection of the linear equation and the quadratic equation. The quadratic equation can be rewritten in the form of y=a(x-h)^2+k, where a, h, and k are constants. This equation can be set equal to the linear equation and solved using the quadratic formula. The solutions of this equation are the x-values that correspond to the intersection of the linear equation and the quadratic equation. To find the y-values, we need to substitute the x-values found in the quadratic equation. Therefore, all solutions to the system of equations created by the linear equation and the quadratic equation y=x^2+9 are (3,18), (-3,-18), (0,9), (-2,13), and (2,13).

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Given:

The line passes through point (-2,2) and (6,-4).

Explanation:

The equation of line passing through points (x_1,y_1) and (x_2,y_2) is,

Determine the equation of line passing through points (-2,2) and (6,-4).

So equation of line is y = -3/4x + 1/2.

Answer:

(a) 0
(b) 0
(c) 1
The function is not continous at x = 9

Step-by-step explanation:

To the left and right of the point x = 9, the graph would seem to continue at  f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous

Apologies if this is wrong its been a bit since I did calculus

Answer:

which is 9643

Step-by-step explanation:

Answer:

no real roots

Step-by-step explanation:When the discriminant is less than zero, there are no real roots

Answer:

1 hour and 40 minutes

Step-by-step explanation:

→ Convert 3 hr and 25 minutes to minutes

( 3 × 60 ) + 25 = 205 minutes

→ Convert 1 hr and 45 minutes to minutes

( 1 × 60 ) + 45 = 105 minutes

→ Minus the answers from each other

205 - 105 = 100 minutes

→ Convert 100 minutes to hours and minutes

1 hour and 40 minutes

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.

There are several types of correlation:

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

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Answer:

  independent: day number; dependent: hours of daylight

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

  1.79 fewer hours on Feb 10

Step-by-step explanation:

a) The independent variable is the day number of the year (t), and the dependent variable is daylight hours (d).

__

b) The average value of the sinusoidal function for daylight hours is given as 12 hours, 8 minutes, about 12.133 hours. The amplitude of the function is given as 2 hours 53 minutes, about 2.883 hours. Without too much error, we can assume the year length is 365.25 days, so that is the period of the function,

March 21 is day 80 of the year, so that will be the horizontal offset of the function. Putting these values into the form ...

  d(t) = (average value) +(amplitude)sin(2π/(period)·(t -offset days))

  d(t) = 12.133 +2.883sin(2π(t-80)/365.25)

__

c) d(41) = 10.34, so February 10 will have ...

  12.13 -10.34 = 1.79

hours less daylight.

and you graph it from -4 to the right with close circle

Hope this help

The inequality of the situation is |x - 87| <= 25

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

Attendance to number within 25 of last year’s 87 students.

Represent the attendance with x

Using the above as a guide, we have the following:

|x - Last year| <= Within

Substitute the known values in the above equation, so, we have the following representation

|x - 87| <= 25

See attachment for the inequality

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The most appropriate choice for simple interest will be given by-'

Amount of money Josh have at the end of 5 years = $330

Fourth option is correct

What is simple interest?

Simple interest ( SI) is the interest earned on a certain principal at a certain rate over a certain period of time,

If P is the principal, rate is r %, time is t years,

SI = \(\frac{p \times r \times t}{100}\)

Adding Principal and simple interest will give the amount

Here,

Principal deposited by Josh= $300

Rate of interest = 2%

Time = 5 years

Simple interest = \(\frac{300 \times 2 \times 5}{100}\\\)

                         = $30

Amount of money Josh have at the end of 5 years = $(300 + 30)

                                                                                     = $330

Fourth option is correct

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