Which of the following shows the graph of y = 2 l n x On a coordinate plane, a curve starts at (0, negative 2) in quadrant 4 and then increases into quadrant 1 and approaches y = 3. On a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0). On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 1). On a coordinate plane, a curve approaches the y-axis in quadrant 2 and then increases into quadrant 1. It crosses the y-axis at (0, 2).

Answers

Answer 1

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

[tex]f(x)= 2^{-x}=\frac{1}{2^x}[/tex]

In the above choices it is clearly defined from the above equation that output rises in the first quadrant, the value of f(x) tends to be zero and increases into another second quadrant. For x = 0, y, once again, has become 1, that is the function passes the y platform at (0,1). Therefore an exponential function reaches y = 0 in quadrant 1 on a coordinate plane and rises into quadrant 2. (0,1) stage is the temperature at which the y-axis intersects.
Answer 2

The graph of y = 2ln(x) is (b) on a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0).

How to determine the graph of the equation?

The equation of the graph is given as:

[tex]y = 2\ln(x)[/tex]

Start by plotting the graph of [tex]y = 2\ln(x)[/tex] .

From the graph (see attachment), we have the following highlights

The curve of the graph starts at the 4th quadrantIt moves up to the 1st quadrantIt crosses the x-axis at x = 1, and it approaches y = 5

From the list of given options, only option (b) describes the above highlights

Hence, the graph of y = 2ln(x) is (b)

Read more about graphs and functions at:

https://brainly.com/question/3939432

Which Of The Following Shows The Graph Of Y = 2 L N X On A Coordinate Plane, A Curve Starts At (0, Negative

Related Questions

I WILL MAKE BRAINLY
Which description matches the graph of the inequality y<-1/2x+5? a shaded region above a dashed boundary line a shaded region below a dashed boundary line a shaded region below a solid boundary line a shaded region above a solid boundary line

Answers

Answer:

a shaded region below a dashed boundary line

Step-by-step explanation:

this inequality uses the "less than" symbol (<), so we will use a dashed line because we are not including the values on the line

plug in (0,0) to see if we are shading above or below the line

0 < -1/2(0) + 5

0 < 5

this is true, so we will shade in the side that the point (0,0) is located, which is below the line (we know this because the inequality has a y intercept of 5)

Find the y-intercept of the rational function. (0, −2) (−2, 0) (0, 6) (6, 0)

Answers

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept of the rational function is (0, −2).

0,-2 is the radical function

Jada sells her artwork at a trade show. She made $40 on the first day by selling one photograph, one painting, and one necklace. She made $110 on the second day by selling two photographs, three paintings, and three necklaces. She made $50 on the last day by selling one photograph, one painting, and two necklaces. Which system of equations matches Jada's sales at the trade show?

Answers

Answer:

x + y + z = 40

2x + 3y + 3z = 110

x + y + 2z = 50

Step-by-step explanation:

let

x = photograph

y = painting

z = neckless

the first part reads that jada sells 1 photograph, 1 painting, and 1 neckless. this written in a mathematical formula will be x + y + z = 40

the second part reads that jada sold 2 photographs, 3 paintings, 3 necklaces. This written as a mathematical formula will be 2x + 3y + 3z = 110

the third part reads that jada sold 1 photograph, 1 painting, and 2 necklaces. this written in a mathematical formulawill be x + y + 2z = 50

Use the equation tool to complete the table.
y = 120 + 18(x)
Enter the correct answer.
Tara has made 120 cookies for the sale
and has one more day to bake. Tara's pan
allows her to bake 18 cookies per batch.
Tara can use the equation of the function to predict the total number of cookies: y=120+18(x). However, she prefers to use a table. (image)

Answers

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Simplify.
3sqrt -64m^15n^3

-8m^5
-8m^5n
-4m^5n
-4m^5

Answers

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Please i need help with this ASAP....many thanks

Answers

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360


If f(x) = 3x and g(x)=1/x
what is the domain of (gºf)(x)?
O x>0
O all real numbers except x=
= 0
X<0
all real numbers

Answers

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach. In how many different ways (orders) can she add these fruits to her blender?

Answers

Answer: The number of different ways (orders) she can add these fruits to her blender = 24

Step-by-step explanation:

Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.

i.e. Total fruits = 4

The number of ways to order n things = n!

Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!

= 4 x 3 x 2 x 1

= 24

Hence, the number of different ways (orders) she can add these fruits to her blender = 24

Answer:

the correct answere is actully 120 ways.

Step-by-step explanation:

There were 100 chocolates in a box. The box was passed from person to person in one row. The first person took one chocolate. Each person down the row took one more chocolate than the person before. The box was passed until it was empty. What is the largest number of people that could have removed chocolates from the box? How do you know?

Answers

Answer: 13 people (I think)

Step-by-step explanation:

I didn't use a set equation to solve the problem, but I added 1+2+3+4... (and so on) until I got a number that was over 100. When I got to 14, the number reached 105, meaning that 13 people were able to get the number of chocolates that they desired. The fourteenth person was short 5 chocolates.

Please feel free to ask me any further questions you have! Have a wonderful day!

Type the expression that results from the following series of steps: Start with z , subtract 5, then times by 3.

Answers

Answer:

(z - 5)3

Step-by-step explanation:

Since we are following the directions strictly, we must subtract 5 from z first.

z - 5

Then we multiply the ENTIRE thing by 3

3(z - 5)

Answer:

(z-5)3 or (z-5)*3

Step-by-step explanation:

Use Pedmas. I am sorry I am not good a explaining but that is the answer.

find two rational numbers between [tex]\sqrt[3]{8}[/tex] and [tex]\sqrt{9}[/tex]

Answers

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]

so between 2 and 3

you can say:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

2.22

2.1875838

2.7583883

Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2

Answers

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

14 times 5 = 70

70/2 = 35

Answer:

it was b ) 35 units

Step-by-step explanation:

cuz 5*14 you got 70

then when is a triangle you have to do 70 divide by half

so you will got you answer which is b)35 units

hope it helps

Determine whether the function is linear or quadratic. Identify the quadratic, linear, and constant terms.

Answers

Answer:

B

Step-by-step explanation:

Use FOIL method

3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)

Simplify to get 15 x^{2} -6x+15x-6  

Combine like terms to get 15x^2+9x-6

quadratic funcntion

quadratic term: 15x^2  

linear term: 9x

constant: -6

(sorry this was late I had other work and I didn't see this until now)

please mark me brainliest!

Which best summarizes the Pythagorean Theorem?

A- The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

B- The length of the hypotenuse of a right triangle is greater than the sum of the lengths of the legs.

C- The sum of the lengths of the legs of a right triangle equals the length of the hypotenuse.

D- For any triangle, the sum of the squares of any two side
lengths is equal to the square
of the third side length.

Answers

Answer: A

Step-by-step explanation:

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

A and B are the legs of the triangle, and c is the hypotenuse. A would make the most sense.

The sum of the squares of the lengths of the legs of a right triangle equals the square of the length of the hypotenuse.

What is Pythagoras theorem?

" In a right angled triangle the square of the hypotenuse is equals to the sum of the square of the other two sides of the right angled triangle."

According to the question,

As per the Pythagoras theorem ,

(Hypotenuse)² = (Adjacent side)² + ( opposite side)²

Hence, we conclude that Option A is correct.

Learn more about Pythagoras theorem here

https://brainly.com/question/23936129

#SPJ2

Complete the following item. Consult the table above to find the cosine number. Find A to the nearest degree. A ≈ a0degrees.

Answers

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

which is a quadratic function
f(x)=2x+x+3
f(x)=0x2-4x+7
f(x)=5x2-4x+5
f(x)3x3+2x+2

Answers

Answer:

f(x)=5x^2-4x+5

Step-by-step explanation:

A quadratic function always has a squared symbol (represented by ^2). The first answer is a linear function, the second answer is a linear function (squaring 0 results in 0, therefore it is canceled out), the third answer has ^2 (this is correct), and the fourth answer has a ^3 (this is a cube function; not quadratic)

Answer:

It is indeed C. f(x) = 5x2 – 4x + 5

Step-by-step explanation:

If this Question is on Edg, then it is C!

What is the area of this face?
100 in2
200 in2
150 in
400 in2

Answers

Answer: 200 in

Step-by-step explanation:

Try to split up the face into pieces. You can make the first piece the square on the top. Only, you don't know the value of the bottom side, but you can see that it is 10 (if you look at the top at the back). So, if you do your multiplication, 10 x 10 = 100. So, that is the area of the first square. The next square also has a width and height of 10, (10 on the bottom, and follow the side to the other 10). Do the multiplication again (same as above) and get 100. Now that you have the area of the two pieces, you add then together: 100+100=200

Please feel free to let me know if you have any questions!

Answer: The yellow face has an area of 200 in^2

Step-by-step explanation:

The height of each of the two square areas is 10 in. The width is 10. A=w × h

10 × 10 = 100. Times 2 for the total for the yellow face.

Don't be confused by the 5-inch offset.

1000 ml solution of acetic acid contains 21 mL of pure acetic acid find the percent concentration of the solution simplify your answer completely​

Answers

Answer:

Step-by-step explanation:

download math photo it will give you free answers

What is the slope of the line represented by the equation y=-1/2x + 1/4?

Answers

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y=-1/2x + 1/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -1/2 and the y intercept is 1/4

The cost of a car is supposed to be no more than 80% of the value for the next year's
model. If a car costs $14,000, what is the cost of the next year's model?

Answers

Answer:

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

Question 24 on this pictured math sheet please. Have a great day!

Answers

Answer:

[tex]y=-6[/tex].

Step-by-step explanation:

If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .

In the given question, it is clear that the horizontal line passing through the point (4,-6).

Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].

Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is

[tex]y=-6[/tex]

Hence, the equation of horizontal line is [tex]y=-6[/tex].

KELLY Connect
Deidra Roberts
CONTACT CENTER OUTSOURCING
Supervisor: "You are currently scheduled to work Monday through Friday of next
week. I need you to try to assist 9 more customers per day to hit your goal for the
week."
Employee: "That seems very realistic. I currently assist an average of 52 customers
per day, so the total number of customers l assist per week would be
295
300
304
305

Answers

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Find the equation of the exponential function represented by the table above​

Answers

Answer: Y = 3 × 2^x

Step-by-step explanation:

Let assume that the equation of the exponential function represented by the table is

Y = 3(2)^x

When x = 0

Substitute x for 0. Then,

Y = 3 × 2^0

Anything raised to power of zero is equal to one.

Y = 3 × 1 = 3

When x = 1

Repeat the process

Y = 3(2)^1

Y = 3 × 2 = 6

When x = 2

Y = 3(2)^2

Y = 3 × 4 = 12

And finally, when x = 3

Y = 3(2)^x

Substitute x for 3

Y = 3 × 2^3

Y = 3 × 8

Y = 24.

We can therefore conclude that the equation of the exponential function represented by the table above is

Y = 3 × 2^x

Ahmed is working at a burger joint. His boss pays him $6.50 per hour and promises a raise of $0.25 per hour every 6 months. Which sequence describes Ahmed's expected hourly wages, in dollars, starting with his current wage?

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Help me ASAP for this question

Answers

Answer:

18 : 3

Step-by-step explanation:

Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.

[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce

[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions

[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication

[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3

_____

So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.

Hope that helps!

what is y=-1/4x+4 written in standard form? plsss help!

Answers

Answer:

The standard form of this slope-intercept form is x + 4y = 16.

Answer:

x + 4y =16

Step-by-step explanation:

[tex]y= \frac{-1}{4}x+4[/tex]

Multiply by 4

[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]

4y = -x + 16

x + 4y =16

Which best describes the relationship between the lines with equations

Answers

Hey there! :)

Answer:

B, they are the same line.

Step-by-step explanation:

Begin by converting each equation to slope-intercept form to make it easier to see the relationship:

-3x - 4y = 1

-4y = 3x + 1

y = -3/4x - 1/4

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

-6x - 8y = 2

-8y = 6x + 2

y = -3/4x - 1/4

The lines are the same. Therefore, B is the correct choice.

Hi the answer is b. Hope this helped:)

Solving absolute value inequalities requires solving compound inequalities.
O True
O False

Answers

I believe it is true.

The statement "Solving absolute value inequalities requires solving compound inequalities" is False.

Absolute value inequalities and compound inequalities are two different types of inequalities, and solving them involves different methods. Here's a brief explanation:

Absolute value inequalities: An absolute value inequality involves an expression enclosed within absolute value symbols [tex](| |)[/tex].

To solve such an inequality, follow these steps:

Set up two separate inequalities: one with the expression inside the absolute value symbols greater than or equal to zero, and the other with the expression negated and greater than or equal to zero.Solve each inequality separately to find the possible solutions.Combine the solutions from both inequalities to determine the final solution set.

Compound inequalities: A compound inequality consists of two or more inequalities joined by the logical operators "and" or "or."

To solve a compound inequality, follow these steps:

Solve each individual inequality separately.Combine the solutions based on the logical operators:If the compound inequality is joined by "and," the solution is the intersection of the individual solutions.If the compound inequality is joined by "or," the solution is the union of the individual solutions.

Therefore, solving absolute value inequalities does not require solving compound inequalities. These are distinct concepts in mathematics.

Learn more about compound inequalities here:

https://brainly.com/question/27031048

#SPJ4

1. How much ribbon is required to wrap once around a basketball present? Basketballs are 78 cm in
diameter
2 Two cars leave the park at the same time. One travels north at a speed of 50 km/h for 2 hours. The
second car travels west at a speed of 80 km/h for 2 hours. After the 2 hours, how far apart are the two
cars? Be sure to draw a diagram illustrating this situation
3 Asmall tree is beginning to lean The owner decides to set up a tension wire to straighten the tree's
growth The owner chooses a wire which is 5 m in length to straighten the tree. The tree is 4 m high
How far must the owner secure the bottom of the wire from the base of the tree (assuming he attaches
the tension wire to the top of the tree)?​

Answers

Answer:

1) 244.92cm  2) 188.68 km  3) 3m

Step-by-step explanation:

1) We are finding the circumference of the basketball in this situation. C=pi(d), d=diameter, C=circumference. So, C= 3.14(78), and finally C= 244.92 cm.

2) We can begin to approach this problem by finding how far each car has traveled over 2 hours. The car heading north is going 50 km/h, so for two hours it has covered 100 kilometers. The car going west is at 80 km/h, so for two hours it has covered 160 kilometers. Now, we could draw this as a right triangle, with one leg being the north-headed car 100 km away from the start, and the other leg being the west moving car 160 km away from the start. The hypotenuse represents the distance between them. Now we use the pythagorean theorem! north car is a, west car is b. a^2+b^2=c^2. 100^2+160^2=c^2. 35600=c^2. take the square root of both sides for c=188.68. The distance between the two cars is approx 188.68 km.

3) `This situation can be represented as a right triangle. The height of the tree, 4m, is the height of the triangle, and the wire, 5m, is the hypotenuse. We are trying to find one of the legs, which represents the ground to the base of the tree. In the pythagorean theorem, we have a^2 and c^2, and just need to find b^2. Let's plug it into the equation:

4^2+b^2=5^2

16+b^2= 25

b^2=9

b=3

hope this helped it took a long time to explain it all! :)

What is the measure of the missing angle x?

Answers

Answer:

C. 60°

Step-by-step explanation:

Add the two given angles and subtract from 180°

Answer:

C.  60

Step-by-step explanation:

The total degrees in a triangle is 180.  Add up the given angles measures and subtract from 180 to find x.

52 + 68 + x = 180

120 + x = 180

x = 60

Other Questions
Please help me.. very appreciated if you do Dinitrogen tetraoxide, a colorless gas, exists in equilibrium with nitrogen dioxide, a reddish brown gas. One way to represent this equilibrium is: N2O4(g)----------> 2NO2(g) Which of the following expressions is equivalent to -10? Which of the following expressions is equivalent to -10? -7 + 3 -3 - 7 3 - 7 7 - 3 I need help ASAP!! If you know what youre doing go ahead and answer but if you dont, dont even bother thanks How can global warming lead to changes to the Earths surface? a. Global warming can lead to an increased number of earthquakes, which change the Earths surface. b. Global warming can lead to glaciers melting, causing flooding to areas and the decrease of glacial land masses. c. Global warming leads to a decrease in water levels of coastal wetlands. d. Global warming cannot lead to changes to the Earths surface. Find the lateral area of the square pyramid shown to the nearest whole number.25 ydA43 yd FINAL QUESTION!!!!! PLEASE TAKE A LOOK!!!! EASY BUT IM JUST DUMB!!!! PLS LOOK AT LEAST!!!!!!!!!!!!!!! I REALLY NEED IT!!!!!!! HELPPPPPPP!!!! LAST QUESTIONS!!!!11. In Amy Tan's short story "Rules of the Game," Waverly's mother points out Waverly to strangers every chance she gets because she is proud of her; Waverly, on the other hand, is embarrassed by this. What does this conflict have to do with differences between American and Chinese culture? In Act V, scene ii of Romeo and Juliet, what role does Friar John play in the catastrophe?He creates a quarantine, which impacts Romeo.He secretly performs Romeo and Juliet's wedding.He mistakenly tells Balthasar that Juliet is dead.He fails to deliver an important letter to Romeo. What direct current will produce the same amount of thermal energy, in a particular resistor, as an alternating current that has a maximum value of 2.59 A? What is the y-intercept of the line whose equation is 2x-3y=-6 What formula tells the cost, in dollars, ifchocolate chip cookies are $1.50/dozen andlemon frosteds are $ 1.00/dozen? Let c =number of dozens of chocolate chip cookies; L=number of dozens of lemon frosteds; T = totalcharge. 1 PointWhich of the following best describes a random event?A. The number of doctor visits a person makes in a yearB. The winner of an electionC. The age at which a baby will get her first toothD. The age at which a person is legally allowed to drive in the state ofCaliforniaSEBNI Simplify the expression in the following photo. Billy has three times as many llamas as lambs.Milly has twice as many lambs as llamas.They have 17 animals in total.How many of the animals are llamas? The spectral lines of two stars in a particular eclipsing binary system shift back and forth with a period of 3 months. The lines of both stars shift by equal amounts, and the amount of the Doppler shift indicates that each star has an orbital speed of 88,000 m/s. What are the masses of the two stars Hutter Corporation declared a $0.50 per share cash dividend on its common shares. The company has 20,000 shares authorized, 9,000 shares issued, and 8,000 shares of common stock outstanding. The journal entry to record the dividend payment is: What stamens is converse of pp: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade. If every fourth card drawn isnt a spade, then 25% of the cards in a deck arent spades. If 25% of the cards in a deck arent spades, then every fourth card drawn wouldnt be a spade. If every fourth card drawn isnt a spade, then 75% of the cards in a deck are spades. 4. How else can the ratio 4/5 be written?O A.4:5O B.5:4O C.54O D..2 Segment RT and Segment GJ are chords that intersect at point H. If RH = 6 units, HT = 5 units, and GH = 3 units, what is the length of line segment HJ? A.) 20 B.) 10 C.) 5 D.) 40 If a horse and zebra breed to produce a sterile horse.____means that one isincapable of producing fertile offspring. In other words, their offspring cannot breed.Describe biogeographic isolation?