Red kangaroos can reach speeds up to 50 feet per second. Use the linear graph at the left to answer the questions. What is the change in y-values from Point A to Point B? What is the change in x-values from Point A to Point B? What is the rate of change of the linear function? feet per second

Answers

Answer 1

Answer:

What is the change in y-values from

Point A to Point B?

50

What is the change in x-values from

Point A to Point B?

1

What is the rate of change of the linear function?

50

feet per second

Step-by-step explanation:

Answer 2

The change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

What is linear function?

" Linear function is defined as the algebraic expression which represents the relation between the variables with highest exponent equals to 1."

Formula used

[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1}}{x_{2} -x_{1}}[/tex]

According to the question,

Given,

Speed of Red kangaroos can reach = 50 feet per second

Number of feet represent by y - axis

Time represent by x-axis

When

[tex]x_{1} = 0 seconds \\\\y_{1} = 0 feet[/tex]

When

[tex]x_{2} = 1 seconds \\\\y_{2} = 50 feet[/tex]

Change in y-values from point A to B  is given by [tex](y_{1}, y_{2} ) = (0,50)[/tex]

Change in x-values from point A to B  is given by [tex](x_{1}, x_{2} ) = (0,1)[/tex]

Rate of change of the linear function

[tex]\frac{y-0 }{x-0 } =\frac{50-0}{1-0}[/tex]

⇒[tex]y= 50x[/tex]

Hence, the change in y-values from Point A to Point B is from 0 to 50feet.  What is the change in x-values from Point A to Point B is 0 to 1 second. Rate of change of the linear function is given by y = 50x (feet per second).

Learn more about linear function here

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Related Questions

A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card is drawn is either queen or red

Answers

Answer:

15/26

Step-by-step explanation:

There are 52 cards in a deck. A deck of cards contains 4 queen cards and 26 red cards. 30/52 simplified is 15/26.

Answer:

28/52, simplified is 14/26. The latter is the answer the questionnaire is probably looking for but if a human is marking it it doesn't hurt to write both.

Step-by-step explanation:

There are 26 cards that are red in a deck, plus 4 queens, minus the 2 queens that are already red.

Write the equation of the line that is parallel to the given line and passes through the given point y=-4/5x-1(0,-3)

Answers

Slope-intercept form: y=mx+b

Since the equation is parallel to the given line, the equation will have the same slope: -4/5 (m)

Also, the point given is a y-intercept: -3 (b)

Therefore the equation is y=-4/5x-3

Evaluate the expression below for s = 4 and t = 6.
3st^2-s^2

Answers

Answer:

Hey there!

We have: [tex]3(4)(6)^2-4^2[/tex]

This simplifies to: 432-16, or 416

Let me know if this helps :)

Answer:

The answer is 416

Step-by-step explanation:

3st² - s²

s = 4 , t = 6

Substitute these values into the above expression

That's

3(4)(6)² - 4²

12(36) - 16

= 432 - 16

= 416

Hope this helps you

The results of an experiment that Lacey is doing are recorded in the table below.

Day Number of Amoeba
1 2*1
2 2*2
3 2*3
How many amoebas will be present on the fourth day?

4
6
2
16

Answers

Answer:

16

Step-by-step explanation:

As per table we can conclude the function:

y = 2ˣ

So for x = 4 we get:

y = 2⁴ = 16

Correct answer choice is the last one

Answer:

16

Step-by-step explanation:

was correct.

this is the graph to my last question

Answers

Answer:

Use a graphing calc.

Step-by-step explanation:

On the graph, use (0, 0) and (2, 5) to graph the function.

A man drives from home at 10.45 to the airport which is 325 km away.He travels at an average speed of 50km/h. a) Find his arrival time at the airport. b)After sending of his friend,the man drives back at 18 35 and arrives home at 23 10. Write down the time taken for the return journey.​

Answers

Solution:

We have,

Departing time = 10 : 45 hoursDistance between home and airport = 325 kmAverage speed = 50 km/h

Finding time taken by the man,

⇛ Average speed = Total Distance/Total time

⇛ Total time = Total Distance/Average speed[tex].[/tex]

⇛ Total time = 325 km/50 km/h

⇛ Total time = 6.5 h (6 hrs 30 mins)

(a) Total Time duration,

⇛ Total Time = Reaching Time - Departing time

⇛ 6.5 h = Reaching Time - 10 : 45 hours

⇛ Reaching Time = 17 : 15 hours ( 5 : 15 pm)

(b) Finding time taken in return,

Departing time = 18 : 35 hoursReaching time = 23 : 10 hours

Total time duration,

⇛ Total Time = Reaching Time - Departing time

⇛ Total Time = 23 : 10 hours - 18 : 35 hours

⇛ Total Time = 22 : 70 hours - 18 : 35 hours

⇛ Total time = 4 : 35 hours

☕ Hence, solved !!

━━━━━━━━━━━━━━━━━━━━

Personal Communication Fees An Internet ,telephone, and cable TV package plan costs month 90$ each month .The Internet part the bill is 35$. The telephone bill is $14 Write the ratio of the Internet bill to the cable TV bill in three different ways

Answers

Answer:

internet : cable = 35 : (90 -35 -14)internet / cable = 35 / (55 -14)internet / cable = 35 ÷ 41

Step-by-step explanation:

A proportion can be written a number of ways. Here, we're asked for a specific ratio. Ratios are generally written using a colon (:) or a division symbol (/ or ÷). Here, the cable bill must be computed from the amounts of the other portions of the bill. That computation lends itself to being written in different ways. The point of the exercise is unclear, so the desired 'three different ways' are also unclear.

__

If we assume that the cable TV portion of the bill is separable from the package, it can be written as ...

  cable bill = $90 -35 -14 = $55 -14 = $41

So, the ratio of internet to cable bills can be written as any of ...

  internet : cable = 35 : (90 -35 -14)

  internet : cable = 35 : (55 -14)

  internet : cable = 35 : 41

  internet / cable = 35 / (90 -35 -14)

  internet / cable = 35 / (55 -14)

  internet / cable = 35 / 41

__

Of course, the computation of the cable bill can be accomplished other ways, so that expression could be any of

  cable bill = 90 -49 = 76 -35

Then you could have ...

  internet : cable = 35 : (90 -49)

  internet / cable = 35 / (76 -35)

Which is the answer of the expression (x + 4)(x - 9)=0 in standard form?

Answers

Answer:

x=-4 or x=9

Step-by-step explanation:

Either factor can be 0 for the result to be 0.

Hence you can solve x+4=0 or x-9=0 with above answers.

Answer:

x(square) - 5x -36 = 0

sorry if its wrong

Plz help ASAP Will mark brainliest

Answers

Answer: 1/5

Step-by-step explanation: 2/5 - 1/5 = 1/5. So 1/5 more visitors saw the panda this month.

Solve the equation
(If possible please show work)

Answers

Answer:

x=1

Step-by-step explanation:

-2x+4=1-4x-3

↦-2x+4x=1-3+4

↦2x=2

↦x=2/2

↦x=1

.°. x = 1

Answer:

[tex] - 2x + 4 = 1 - 4x - 3[/tex]

Firstly take all numbers with variable to L.H.S

and Take all numbers to R.H.S

[tex] - 2x - 4x = 1 - 3 - 4[/tex]

Now solve the equation we get our answer

[tex]-6x = -6[/tex]

Take -6 to the R.H.S and divide -6 by -6

[tex]x = 1[/tex]

1 is ur answer mate

Hope it helps

PLEASE HELP MEEEEEE :(((

Answers

Answer:

tbh i would say 1/8 in exact form

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

x= -2

Step-by-step explanation:

3(2x-4)= -24

expand

6x-12= -24

6x= -24+12

6x= -12

x= -12/6

x= -2

Answer:

x=-2

Step-by-step explanation:

To solve the equation, we must get x isolated on one side of the equation.

[tex]3(2x-4) = -24[/tex]

3 is being multiplied by 2x -4. The inverse of multiplication is division. Divide both sides of the equation by 3.

[tex]\frac{3(2x-4)}{3} = -\frac{24}{3}[/tex]

[tex](2x-4)= -\frac{24}{3}[/tex]

[tex](2x-4)= -8[/tex]

4 is being subtracted from 2x. The inverse of subtraction is addition. Add 4 to both sides of the equation.

[tex]2x-4 +4 = -8+4[/tex]

[tex]2x= -8+4[/tex]

[tex]2x= -4[/tex]

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.

[tex]\frac{2x}{2} =\frac{-4}{2}[/tex]

[tex]x=\frac{-4}{2}[/tex]

[tex]x= -2[/tex]

Let's check our solution. Plug -2 in for x and solve.

[tex]3(2x-4)= -24[/tex]

[tex]3(2(-2)-4)= -24[/tex]

[tex]3(-4-4) = -24[/tex]

[tex]3(-8)= -24[/tex]

[tex]-24=-24[/tex]

The statement above is true, so we know our solution is correct.

The answer to the equation is x= -2.

At the Canterbury Dog Fair, 1/4 of the poodles are also show dogs and 1/7 of the show dogs are poodles. What is the least possible number of dogs at the fair?

Answers

Answer:

10

Step-by-step explanation:

Let the total number of poodles = [tex]x[/tex]

Let the total number of show dogs = [tex]y[/tex]

[tex]\frac{1}{4}[/tex] of the poodles are show dogs

and

[tex]\frac{1}{7}[/tex]  of the show dogs are poodles

[tex]\therefore \dfrac{1}{4}x = \dfrac{1}{7} y[/tex]

As per the question statement, [tex]x[/tex] must be divisible by 4 and

[tex]y[/tex] must be divisible by 7.

And we have to find the least number of dogs.

So, least number divisible by 4 = 4 and

Least number divisible by 7 = 7

So, least values of [tex]x[/tex] i.e. poodles = 4 in which we have 1 show dog

Hence, 3 are not show dogs.

and least value of show dogs i.e. [tex]y[/tex] = 7 (it includes the one poodle which is also show dog).

So, least number of dogs at the fair = 7 + 3 = 10

i need help on this..

Answers

I hope this helps you

for cosine in a right triangle

cos Angle =adiacent/hypotenuse

cosQ=4/5

simplify the expression
5-2(9)|+9^2÷3​

Answers

Answer:

14

Step-by-step explanation:

Simplify the following:

5 - 2×9 + 9^2/3

Hint: | Evaluate 9^2.

9^2 = 81:

5 - 2×9 + 81/3

Hint: | Reduce 81/3 to lowest terms. Start by finding the GCD of 81 and 3.

The gcd of 81 and 3 is 3, so 81/3 = (3×27)/(3×1) = 3/3×27 = 27:

5 - 2×9 + 27

Hint: | Multiply -2 and 9 together.

-2×9 = -18:

5 + -18 + 27

Hint: | Evaluate 5 + 27 using long addition.

| 1 |  

| 2 | 7

+ | | 5

| 3 | 2:

32 - 18

Hint: | Subtract 18 from 32.

| 2 | 12

| 3 | 2

- | 1 | 8

| 1 | 4:

Answer: 14

what is this word π?​

Answers

Answer:

π (Pi) is a mathematical constant.

Step-by-step explanation:

The digit π is a mathematical constant. It is interpreted as the ratio of a circle's perimeter to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is roughly identical to 3.14159.

Find the slope of the line.

Answers

Answer:

Brainleist!

Step-by-step explanation:

first obvious thing is the line is positive

it goes up 3 over 2

so its 3/2

positive = 3/2

Find the length of AB to the nearest hundredth

Answers

Answer:

7.28

Step-by-step explanation:

It’s the hypotenuse of a right triangle, so we can use Pythagorean’s Theorem.

2²+7²=C²

4+49=c²

53=c²

c=7.28

Answer:

7.28 to the nearest hundredth.

Step-by-step explanation:

A is (-5, -4) and B is (-3,3)

The distance AB = √ [(-5 - (-3)^2 + (3 - (-4)^2]

= √(4 + 49)

=√53

= 7.2801

A piece wide function f(x) is defined as shown f(x) = { -5/4x + 90, 0 < x < 40 { -3/8x + 75, 40 < x < 200 which table could be used to graph a piece of the function?
HELP

Answers

Answer:

The last table with x and y values:

x       y

40    60

160   15

200   0

is the correct table

Step-by-step explanation:

Notice that the x-value 40 appears in all four tables, so let's use it according to the piece-wise function definition to decide which table can be the true one.

Notice that from the function's description, when x = 40 the function that should be used is (its domain includes 40 according to: [tex]40\leq x\leq 200[/tex] ) : [tex]f(x)=-\frac{3}{8} x+75[/tex],

which therefore gives : [tex]f(40)=-\frac{3}{8} (40)+75= -15+75=60[/tex]

therefore, we know that the only table that shows a y-value of 60 associated with x=40 is the last table. We should check that the other two pairs are also correct before deciding for it:

Is f(160) = 15 , and is f(200) = 0 according to the function's definition?

Let;s calculate f(160) (for which we need to use again the second function given which is valid for x values such that: [tex]40\leq x\leq 200[/tex]

[tex]f(160)=-\frac{3}{8} (160)+75= -60+75=15[/tex]

so, this pair is also correct.

Now the last check (for x = 200):

[tex]f(200)=-\frac{3}{8} (200)+75= -75+75=0[/tex]

which also checks with the values in the given table.

a car travels 72 kilometers in an hour. find its speed in meters per second​

Answers

Answer:

v = 20 m /s

Step-by-step explanation:

v = 72 km / h

72 / 3.6

20

v = 20 m /s

someone solve this ?

Answers

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{9+x}{3x} = \frac{5}{6}[/tex]

6(9+x) = 5(3x)

6*9 + 6*x = 5*3x

54 + 6x = 15x

54 = 15x - 6x

54 = 9x

x = 54/9

x = 6

check:

(9+6)/(3*6) = 5/6

15/18 = 5/6

Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The drive had some files on it before the transfer, and the transfer happened at a rate of 4.44 megabytes per second. After 32 seconds, there were 384 megabytes on the drive. The drive had a maximum capacity of 1000 megabytes.

Answers

Hhhnnnnnjhhhdjjdrjrjjsndndnrnxjxjrrjdncjf

I do not understand.

Answers

What is the question?

The radius of a circle is 3.9 cm. What is the area of the circle? Use pi = 3.14

Answers

Answer:

A ≈ 47.759 cm²

Step-by-step explanation:

A = πr²

A = (3.14)(3.9)²

A = (3.14)(15.21)

A ≈ 47.759 cm²

because the area of a circle equals pi times radius squared and the radius is 3.9 A= 47.78

A lift in mine moves down 24m in 87 mins. If it moves in uniforme rate ,find at what distance below the surface ,it will be after 6 mins . If the lift starts from a hileight 10 m above the ground ,find how deep the lift will go from the surface after 70 mins​

Answers

Answer:

Ok, first we have the relation:

Speed = Distance/Time.

Here we have:

Distance = 24m

Time = 87 mins

Speed = 24m/87mins = 0.279 m/min.

Now, in 6 minutes, the distance moved will be (remember that the movement is downwards)

D(6min) = (0.279m/min)*6min = 1.66 m.

So in 6 minutes, it moves 1.66 meters down, if the initial position is 10m above the ground, then the position after 6 minutes is:

10m - 1.66m = 8.34m above the ground.

And after 70 minutes, the distance moved is:

D(70min) =  (0.279m/min)*70min = 19.53m

Again, the initial position is 10m above the ground, so after 70 minutes the position is:

10m - 19.53m = -9.53m

So after 70 minutes, the position is 9.53 meters under the ground.

The lift will go 2.76m deep from the surface after 70 mins.

The lift moves down 24m in 87 minutes.

What is the speed of an object that covers 'd' distance in 't' time?

The speed of an object that covers 'd' distance in 't' time is d/t.

So, speed of the lift = 24/87 = 3/29m/min

Distance covered in 6 minutes = 6 * 3/29 = 18/29 m

So, if initially lift is at the surface of the earth, it will go 18/29m below the surface.

Distance covered in 70 minutes = 70* 3/29 =210/29m

So, if the initially lift is at 10 m height, it will go (10-210/29) = -80/29 or 2.76m below the surface of the earth.

Therefore, the lift will go 2.76m deep from the surface after 70 mins.

To get more about time, speed and distance visit:

https://brainly.com/question/26046491

This is pretty easy and I'll give brainliest Index fossils are useful to geologists if the fossils ____. Multiple choice question. A) have lived over a short period of time cross out B) are not easily recognized C) are not widely distributed geographically D) are scarce

Answers

Answer: B)

Step-by-step explanation:

THEY TELL THE RELATIVE AGE OF THE ROCK IN WHICH THEY OCCUR.

Tegan needs to make 686868 more snow blocks to finish building an igloo. Write an equation for the number of blocks Tegan still needs to make, mmm, when she has completed ccc blocks. Tegan completes 333333 blocks. How many blocks does Tegan still need to make to finish the igloo?

Answers

Answer:

m = 68 - c ; 35

Step-by-step explanation:

Given the following :

Number of blocks Tegan needs to make = 68

Number of blocks completed = c

Number of blocks left to make = m

Therefore, the number of blocks 'm' left to make is given by the equation :

(Total number of blocks needed - number of blocks completed) = number of blocks left to make

(68 - c) = m

Equation : m = 68 - c

If completed blocks 'c' = 33 ; number of blocks needed to complete the igloo :

From m = 68 - c

m = 68 - 33

m = 35

Answer:

Equation: m = 68 - c   Answer: 35

Step-by-step explanation:

Tegan needs 68 more blocks for her igloo. The number of blocks she still needs to make depends on c, the number of blocks she completes.

To find the number of blocks she still needs to make, m, we can use the equation m = 68 - c

To find the number of blocks Tegan still needs to make if she completes 33 blocks we can substitute 33 into the equation for c.

m = 68 - c

m = 68 - 33

m = 35

The equation is m = 68 - c

Tegan still needs to make 35 blocks to finish the igloo.

Please help :)


The answer to the problem is
provided.

Explain why the answer is correct.

Easha has 3 less than 5 times the number of quarters (1)
that Isabelle has. Which expression shows the number of quarters Easha has?

a. 31 – 5
b. 51 - 3
c. 5 - 31
d. 3 – 51

The correct answer is B.

Explain WHY this the correct
answer, make sure to show your work PLEASE :)

Answers

Answer: b. 51 - 3

Step-by-step explanation:

Given, Easha has 3 less than 5 times the number of quarters (I)  that Isabelle has.

Here I is the number of quarters that Isabelle has.

Then, as per given,

Number of quarters Easha has = 5 ( number of quarters that Isabelle has) -3

= 5I-3

Hence, the  expression shows the number of quarters Easha has is "5I-3"

So the correct option is b.

Which expression is equivalent to a to the power of m divided by a to the n power

Answers

Answer:

[tex]a^{m-n}[/tex]

Step-by-step explanation:

If we have the expression [tex]m^a \div m^n[/tex], we can use exponent rules to simplify this.

Exponent rules say that [tex]x^a \div x^b = x^{a-b}[/tex]. In this case, x is a, a is m and b is n, so the same rule applied here.

So  [tex]a^m \div a^n[/tex] will be equal to [tex]a^{m-n}[/tex].

Hope this helped!

472 + 278 + 694 + 73 + 217 =
O 1,734
1,824
O 1,714
O 1,634​

Answers

Answer:

1734

Step-by-step explanation:

add them

Answer:

the answer to this question is 1734

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