Two swimming teams are competing in a 400 meter medley relay. During the last leg of the race,
the swimmer in lane 1 has a 1.7 second head start on the swimmer in lane 2. The swimmer in
lane 1 is swimming at 1.9 m/sec. The swimmer in lane 2 is swimming at 2.3 m/sec.
Lett be the time since the swimmer in lane 2 started the last leg. After how many seconds into
the leg will the swimmer in lane 2 catch up with the swimmer in lane 1?

Answers

Answer 1

Answer:

4 seconds

Step-by-step explanation:

I completed a table, swimmer 1 started with 1.7 while swimmer 2 started with 0. After adding 1.9 to swimmer 1 each time and 2.3 for swimmer 2, swimmer 2 caught up at 4 seconds


Related Questions

☆15 POINTS AND MARKED BRAINLIEST IF CORRECT☆
look at the image above to view the question!​

Answers

Answer:

3125 bacteria.

Step-by-step explanation:

We can write an exponential function to represent the situation.

We know that the current population is 100,000.

The population doubles each day.

The standard exponential function is given by:

[tex]P(t)=a(r)^t[/tex]

Since our current population is 100,000, a = 100000.

Since our rate is doubling, r = 2.

So:

[tex]P(t)=100000(2)^t[/tex]

We want to find the population five days ago.

So, we can say that t = -5. The negative represent the number of days that has passed.

Therefore:

[tex]\displaystyle P(-5)=100000(2)^{-5} = 100000 \Big( \frac{1}{32}\Big) = 3125 \text{ bacteria}[/tex]

However, we dealing within this context, we really can't have negative days. Although it works in this case, it can cause some confusion. So, let's write a function based on the original population.

We know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, our function is:

[tex]P(t)=A(2)^t[/tex]

After 5 days, we reach the 100,000 population. So, when t = 5, P(t) = 100000:

[tex]100000=A(2)^5[/tex]

And solving for A, we acquire:

[tex]\displaystyle A=\frac{100000}{2^5}=3125[/tex]

So, our function in terms of the original day is:

[tex]P (t) = 3125 (2)^t[/tex]

So, it becomes apparent that the initial population (or the population 5 days ago) is 3125 bacteria.

Answer:

We can express the question in a exponential function

The current population is 100,000.

The population doubles each day.

The exponential function is given by: P(t)=a(r)^t

The current population is 100,000, a = 100000.

The rate is doubling, r = 2.

P(t)=100000(2)^t

As we know that the bacterial population had been doubling for 5 days. Let A represent the initial population. So, the function is:

P(t)=A(2)^t

After 5 days, the population reaches 100,000. So, when t = 5, P(t) = 100000:

100000=A(2)⁵

Now solving for A, we get

A=(100000)/(2⁵)=3125

So, the function in terms of the original day is:

P (t) = 3125 (2)^t

Hence, the initial population is 3125 bacteria.

3125 is the right answer.

Alex has saved $30 and he earns $12 per hour. He wants to have at least $150 in his savings account. How many hours can he work?

Answers

Answer: 10

Step-by-step explanation: 120 divided by 12 = 10

heloo i really need help! any helo would he appreciated!​

Answers

Answer:

The measure of angle DPA is 39°

Step-by-step explanation:

step 1

Find the value of x  we know that  arc AB+arc BC+arc CD+arc DA=360°

substitute the values

(5x+10)°+(x+1)°+3x°+(3x+25)°=360°

Solve for x

(12x+36)°=360°

12x=360°-36°

x=324°/12=27°

step 2  Find the measure of angle DPA

we know that  The measurement of the external angle is the semi-difference of the arcs which comprises

m∠DPA=(1/2)[arc DA-arc BC]

arc DA=3(27)+25=106°

arc BC=27+1=28°

substitute the values

m∠DPA=(1/2)[106°-28°]=39°

Answer:

BC = 50

Step-by-step explanation:

AB and AD are congruent, thus

AB = AD, that is

5x + 10 = 3x + 18 ( subtract 3x from both sides )

2x + 10 = 18 ( subtract 10 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

Thus

BC = 12x + 2 = 12(4) + 2 = 48 + 2 = 50

Triangle MNP is graphed on a coordinate grid with vertices at M(12, -6), N(3, 3) and P(-6,12). Triangle MNP is dilated by a scale factor of q with the origin as the center of dilation to create triangle M’N’P’. Which ordered pair represents the coordinates of the vertex P’?


A. (12 − q, -6 – q)

B. (-6q, 12q)

C. (3q, 3q)

D. (12q, -6q)

Answers

9514 1404 393

Answer:

  B.  (-6q, 12q)

Step-by-step explanation:

The dilation factor (q) multiplies each of the coordinates:

  (x, y) ⇒ (qx, qy)

  P(-6, 12) ⇒ P'(-6q, 12q)

Plz, Help! I need it plz plz! Which number line model represents the expression − 2 + (− 7/2)?

Answers

Answer:

A is the answer

Step-by-step explanation:

-2 + (-7/2) = -2 + (-3 1/2) = -5 1/2

(A) illustrates this scenario

can you please help me with these two questions? I will give you branleyist if you answer.

1. Discuss the significance of chlorophyll. Explain its role in photosynthesis. Why are plants green?

2. Why are plants essential to life on Earth? Explain the role photosynthesis plays in this. Why do animals need plants?

Answers

1. Chlorophyll is the pigment in plats that absorbs light. If plants were not able to absorb light they would not be able to do photosynthesis and they would not be able to survive. Plants are green because green light is the only wavelength not absorbed by the chlorophyll in plants so this is the color o light that gets reflected back to our eyes.

2.Plants are essential to life on Earth because they convert energy from the sun into stored energy which can be used by animals. They are also essential because one of the outputs of photosynthesis is oxygen which is necessary for breathing and sustaining life. Animals need plants because plants produce oxygen and because animals are unable to convert solar energy into usable energy themselves so they need plants to convert solar energy into chemical energy, which is done through the process of photosynthesis. Animals need this so that animals can use the stored energy that is produced by the plants.

I need help in khan academy ASAP!!

Answers

The answer for the question is y = 3x + 5

Halp me: ´` ) please : ´` > i need halp please : ^ l

Answers

Answer:

Halp u

Step-by-step explanation:

Answer:

36 mph

Step-by-step explanation:

432m : 12h=36mph

3rd answer

Asupra unui corp acţionează două forţe F 1 = F 2 =10 N. Determinaţi si reprezentaţi grafic rezultanta forţelor atunci când: a) forţele au aceeaşi direcţie şi acelaşi sens; b) forţele au aceeaşi direcţie dar sens opus; c) forţele au direcţii perpendiculare

Answers

Answer:

how do you translate on here

Step-by-step explanation:

Henry's baseball practice starts at 2:00 pm. It lasts 1 hour and 45 minutes. What time does he get out of baseball practice?

Answers

Answer:

3:45 pm

Step-by-step explanation:

..............

how do I solve the problem?
-2(5d-5)=-20?
simplify any fractions​

Answers

I believe is -5 the right answer

PLEASE HELP

What is 4% of 50% of 5
F. 0.01
G. 0.05
H. 0.10
J. 0.50
K. 1.00

Answers

Answer:

J is the answer of the percentage

3(x - 5) - 9x < 2x + 17

Answers

Answer:

3x-15-9x<2x+17(Collect like terms)

-6x-15<2x+17

-6x-2x<17+15

-8x<32

x>-4

How many potential phone numbers can be created from the last seven digits (XXX – XXXX) if each digit can be any number 0-9?
100,000

1,000,000

10,000,000

10,000

Answers

Answer:

10,000,000

Step-by-step explanation:

Which of the following is a polynomial?
A. (x - 2)(x4 +3)
B. x2 - 1
C. 1 + 2
D. A + x4 + 16 h

Answers

Answer:

I'm pretty sure A is the correct answer :)

(x-2)(x^4+3) is a polynomial

Paul buys a package of stickers for 1.50. There are 75 stickers in the package. What is theme unit cost per sticker?

Answers

Answer:

The unit cost is: 0.02 $ per sticker

Step-by-step explanation:

Given

Total stickers = 75

The cost of 75 stickers = 1.50 (let say in $)

To determine

The unit cost per sticker

The unit cost per sticker can be calculated by dividing the total cost by the number of total stickers, so

Unit cost = 1.50 / 75

                = 0.02 $ per sticker

Therefore, the unit cost is: 0.02 $ per sticker

A rectangular prism has a length of 18 feet, a height of 14 feet, and a width of 2 feet. What is its volume, in cubic feet?

Answers

Answer:Right rectangular prism

Solve for volume

V=504ft³

l Length

18

ft

w Width

2

ft

h Height

14

ft

h

l

w

d

l

l

h

w

h

w

Step-by-step explanation:

Answer: 504

Step-by-step explanation:

Will give 20 points and brainiest!
Please help!

Answers

Answer:

Straight angle.

Step-by-step explanation:

It is straight because <CED is a 180 degree angle which is straight.

Answer:

Obtuse

Step-by-step explanation:

Seeing that CEA and BED are acute, CEB has to be obtuse.

Ethan’s favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 times. How many miles did Ethan run on the path last week?

Answers

Answer:

10.5 miles

Step-by-step explanation:

You multiply the distance with the number of times he ran.

PLS HELP FOR BRIANLIST!!!! There are 8 more students in a math class than in a history class. If the ratio of the students in the math class to the history class students is 9 : 7, how many students are in math class?

Answers

Answer:

9-7= 2

8 / 2 = 4

4 X 9 = 36

4 X 7 = 28

36 students in math class

Answer:

36 students in the math class

Step-by-step explanation:

PLS HELP WITH ALGEBRA
Factor these expressions. First find the GCF
1. 4x³+20x²+16x
2. 12x⁴+26x³-16x²
3. 10x²+48x-10

Answers

Answer:

1. 4x(x^2+5x+4)

2. 2x^2(6x^2+13x-8)

3. 2(5x^2+24x-5)

Step-by-step explanation:

1.

The common factor between all the monomials is 4x, so we divide each by 4x.

2.

The common factor between all the monomials is 2x^2, so we divide each by 2x^2.

3.

The common factor between all the monomials is 2, so we divide each by 2.

will mark brainless
Ryan, Jessica, and Mark each solved this system of equations. All of their answers are different. Find and explain the mistakes. What is the correct answer?

Answers

Answer:

Step-by-step explanation:

y = 3x + 2

6x – 2y = 10

Ryan’s answer:

I solved by adding the equations. The solution is .

y = 3x + 2 → 3x + y = 2

6x – 2y = 10 → 3x – y = 5

6x = 7

x =

6x – 2y = 10 → 6 – 2y = 10

7 – 2y = 10

–2y = –3

y = -

Jesse’s answer:

I used matrices. The solution is .

Mark’s answer:

I graphed the equations. The lines are parallel and do not intersect, so there is no solution.

100 points!! PLEASE HELP

the graph of y= square root x is translated the translation is defined by (x,y) arrow (x-3,y+1) which is the graph of the translated image
it’s not letting me add multiple photos so if you need them i’ll post them

Answers

Answer:

See below

Step-by-step explanation:

Parent function:

y = √x

Translation rule:

(x, y) → (x - 3, y + 1)

It will translate right 3 units and up 1 unit

The translated function is:

f(x) = [tex]\sqrt{x - 3}[/tex] + 1

Graph is attached where dotted blue is parent function and solid red is translated function

[tex]f =(x) = \frac{x}{4} [/tex]
[tex]fg (x) = \frac{1}{2x + 1} [/tex]
Find g(x)

Answers

Answer:

g(x) = [tex]\frac{x+3}{x-3}[/tex]

Step-by-step explanation:

From the picture attached,

Given function is,

f(x) = x + 1

We have to find the value of g(x) if the composite function has been given as,

f[g(x)] = g(x) + 1 = [tex]\frac{2x}{(x-3)}[/tex]

g(x) = [tex]\frac{2x}{(x-3)}-1[/tex]

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

      = [tex]\frac{(x+3)}{(x-3)}[/tex]

Therefore, g(x) = [tex]\frac{x+3}{x-3}[/tex] will be the answer.

evaluet 2-(4-x) when x=-5​

Answers

the answer is -18 because 2-(4--5) you add 4+5 then you get 2-(9) distribute the negative and then multiply by two to get -18

please help will mark Brainliest

what is the percent increase in the image​

Answers

Answer:

155.555555%

4200/2700=1.55555

Step-by-step explanation:

WILL GIVE BRAINLIEST!!! I need this ASAP plz help bowling alley charges $2.00 per game and will
rent a pair of shoes for $1.00 for any number of games. The bowling alley has an earnings goal of $300 for the day. If the bowling alley rents 40 pairs of shoes, how many games will need to be played to reach their goal?

Answers

Answer:

30 games

Step-by-step explanation:

Also rate me!!!

Answer:

Around 50 games will have to be played.

Step-by-step explanation:

At store A, apples are $3.99 for 5 apples. At store B, apples are $20 for 10 apples. Which is the better deal?​

Answers

Answer:

store a

Step-by-step explanation:

at store a you can get 10 apples for 8$

Answer:

Store A

Step-by-step explanation:

In store B 10 apples are $20, you can buy 5 apples for $3.99 so if you buy 10 apples from store A the total will only be $8

b^2 + 13b + 44 = 4
How would I solve by factoring?

Answers

-5 is the answer :)))))

I need help ;-; 20 points

Answers

Answer:

x=5

Step-by-step explanation:

So first simplify the equation

√5x-6=-1

Add 6 on both sides

√5x=5

now since it being squared with btoh numbers having a 5, x is 5

Answer:

x=5

Step-by-step explanation:

[tex] \sqrt{5x} - 6 = - 1[/tex]

[tex] \sqrt{5x} = 5[/tex]

[tex]5x = 25[/tex]

[tex]x = 5[/tex]

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