Unit 1. Lesson 10 Exit Ticket

Name:

1.) A deep-sea diver descends below the surface of the water at a rate of 5.5 feet each minute. What is the

depth of the diver after 1.3 minutes?

Write an expression to represent the problem:

Solve your expression in the box below and write your answer on the blank provided.

Answer

Answers

Answer 1

Answer:

The required expression for the depth is [tex]5.5t[/tex] feet.

The depth after 1.3 minutes is 71.5 feet.

Step-by-step explanation:

Let d be the depth of the sea below the surface of the water.

The rate of descending or the rate of increasing the depth, [tex]r= 5.5[/tex] feet/min.

Since, the rate is constant, so,

If the diver reaches the depth, [tex]d[/tex], in time, [tex]t[/tex]. So,

[tex]r= d/t[/tex]

[tex]\Rightarrow d=r\times t[/tex]

So, for [tex]r=5.5[/tex] feet/min, the required expression for the depth is [tex]5.5t[/tex] feet.

After time t= 1.3 minutes.

The depth, [tex]d = 5.5 \times 1.3 = 71.5[/tex] feet.


Related Questions

HELP PLEASE
Benito drew a graph representing the number of miles he ran and the number
calories he burned. What is the unit rate in calories per mile? 3 4 250 1,000

Answers

Answer:

250

Step-by-step explanation:

1000 divided by 4, is 250

The unit rate would be 250 calories per mile which is the slope of the given linear function.

What is the unit rate?

The unit rate of a linear function is defined as the slope of the linear function.

The slope is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)

The given graph represents the number of miles he ran and the number of calories burned.

Taking two points as per the given graph :(2, 500), (6, 1500)

Let

x₁ = 2, y₁ = 500

x₂ = 6, y₂ = 1500

Substitute values in the formula to get

unit rate = (1500 - 500)/(6 - 2)

unit rate = (1000)/(4)

Apply the division operation,

unit rate = 250

Therefore, the unit rate would be 250 calories per mile

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ6

help me, cause I'm tuck

Answers

Answer:

The answer would be 1.33 x [tex]10^{4}[/tex]

Step-by-step

1.28 x [tex]10^{4}[/tex] = 12800

5 x [tex]10^{2}[/tex] = 500

12800 + 500 = 13300

13300 = 1.33 x [tex]10^{4}[/tex] in scientific notation

Hope this helps:)

Sorry, I got the wrong answer earlier but I fixed it:)

Why is it important the order we write the vertices of a triangle in a congruent statement? SELECT ALL THAT APPLY!
The middle letter is the vertex of the angle.
The order tells us what sides are congruent.
The order does not matter
The order tells us what angles are congruent.

Answers

Answer:

The order tells us what sides are congruent.The order tells us what angles are congruent

It is important that we write the vertices of a triangle in a congruent statement, because it will tell us if the sides and angles are congruent.

Hope this helps you!

Which ratio is equivalent to 4 to 5?​

Answers

Answer: 8 to 10,    16 to 25,    40 to 50

Step-by-step explanation: If you have trouble wit this in the future just multiply each number by 2,3,4,5,6...

Answer:

Two are actually equivalent, 8:10 and 12:15

Every day Rami walks 1 mile in the morning and 1 mile in the afternoon. How many days will it take Rami to walk a total
distance of 10 miles?
A 5
В
8
10
12

Answers

Answer:

A - 5

Step-by-step explanation:

1 mile in the morning + 1 mile in the afternoon = 2 miles per day

10 miles / 2 miles = 5

A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.

Answers

You multiply 155 by 0.40 which is 40% and you get 62 then you add 62 to 155 and your final count of bacteria is 217

Answer:217

Step-by-step explanation:

A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet away from the player. The height $y$y​ (in feet) of a second hockey puck is modeled by $y=x\left(0.15-0.001x\right)$y=x(0.15−0.001x)​ , where x$x$x​ is the horizontal distance (in feet). Compare the distances traveled by the hockey pucks before hitting the ground.

Answers

Answer:

The maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels further  

Also the distance of the maximum height of first pluck from the player is less than the distance of the second pluck from the player hence the second pluck travels further

Step-by-step explanation:

From the question we are told that

  The maximum height of the first pluck is  [tex]h_1 = 3 \ ft[/tex]

   The height of the second height is mathematically represented as

              [tex]$y=x\left(0.15-0.001x\right)[/tex]

=>           [tex]y=0.15x -0.001x^2[/tex]

Generally at maximum height  [tex]y' = 0[/tex]

So

      [tex]y'=0.15 -0.002 x = 0[/tex]

=>    [tex]x =  75 \  ft [/tex]

Here 75 ft is the horizontal distance the second pluck traveled at maximum height

   So the maximum height of the second pluck is mathematically represented as

       [tex]y=0.15(75) -0.001(75)^2[/tex]

=>     [tex]y=  5.625 \  ft [/tex]  

So comparing the maximum height  of the first and the second pluck we see that the maximum height of the second pluck is greater than that of the first pluck, hence the second pluck travels father

A shipping company specializing in big items, like couches and cars, charges a $99 handling fee plus $0.32 per pound. Write an equation representing the total cost to ship an item based on its weight.

Answers

Answer:

$0.32x + $99 = c (cost)

Step-by-step explanation:

First, the problem tells you that the company is charging $0.32 per pound. The phrase "per pound" tells us that the 32 cents is not a fixed amount, so it must be paired with a variable like x since any item could easily weigh more than one pound when shipping.

Next, the problem says there's a handling fee of $99 for each purchase. This is a fixed amount, meaning there will be no variable with it since this fee will always just cost $99. This fee will be added to the $0.32x, so it can be represented anywhere in the equation like "+ $99" or "$99 +".

Finally, just write each term as an equation and you're all set! There can be multiple ways to write the equation. For example, $0.32x + $99 = c is correct, but $99 + $0.32x = c is also correct!

Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries.

Answers

Answer:

-1.8x² - 1.61x - 37.45 > 0

Step-by-step explanation:

Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries?

Answer:

The cost of packaging 95 packages of strawberries is $2.29(95)=$217.55.

20-cent increase in the cost of a package of strawberries leads to 9 less packages to be sold. If x represent the number of 20-cent increases in the cost of a package of strawberries. the cost of packaging is:

Cost = (2.29 + 0.2x)(95 - 9x)

For a revenue of atleast $255:

(2.29 + 0.2x)(95 - 9x) > 255

217.55 - 20.61x + 19x - 1.8x² > 255

-1.8x² - 1.61x + 217.55 > 255

-1.8x² - 1.61x + 217.55 - 255 > 0

-1.8x² - 1.61x - 37.45 > 0

Un empresario regalará 450 bonos a los tres departamentos de su compañía, de manera proporcional a la cantidad de personas que las componen. El departamento de mercadeo tiene 10 empleados, el de administración, 15 y el de producción, 20, ¿Cuántos bonos se repartirán a cada departamento?

Answers

Answer:

is this question in Spanish

Find the GCF of 29 and 18

Answers

Answer:

1

Step-by-step explanation:

The greatest common factor of two numbers is the largest number that both can divide into.

29 is a prime number. This means that it is only divisible by 1 and itself.

18 has the factors 1,2,3,6,9,18.

Only the number 1 is a shared factor between the two numbers, therefore 1 is the greatest common factor of 29 and 18.

Hope this helped!

Answer:

1

Step-by-step explanation:

29 is a prime number. Hence, the GCM of a number x and 29 is 1 if x isn't divisible by 29. Because 18 isn't divisble by 29, the GCM of 18 and 29 is 1.

Hopefully this answer helps you :)

Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts​ (a) through​ (c) below. TInterval ​(13.046,22.15) x overbarxequals=17.598 Sxequals=16.01712719 nequals=50 a. Express the confidence interval in the format that uses the​ "less than" symbol. Given that the original listed data use one decimal​ place, round the confidence interval limits accordingly. nothing Mbpsless than

Answers

Answer: [tex]13.046< \overline{x}<22.15[/tex]

Step-by-step explanation:

Let x be the random variable that represents the data speed.

Given, Confidence interval for population mean : (13.046, 22.15)

Let [tex]\overline{x}[/tex] be the sample mean.

We need to write the confidence interval in "less than" format.

less than sign → <

Confidence interval in "less than" format will be:

[tex]13.046< \overline{x}<22.15[/tex]

Which ordered pair is an solution of the equation? Y+5=2(x+1)

Answers

Answer:

only -1,-5

got it from khan academy

Mike hosted a fundraiser to benefit the children's hospital and the cancer society twenty people came and each paid 30 to enter the event an additional 800 was raised before the event
A) write a number expression to represent the total amount of money raised. Find the value of your expression.
B) mike split the money equally between the two organizations. How much did each organization receive?

PLEASE HELPPP

Answers

Answer:

Step-by-step explanation:

We know 20 people attended and each paid $30. There was already $800 before the event.

A)

T = total amount raised

p = number of people that attended

T = 30p + 800           $30 multiplied by the number of people who attended  

T = 30(20) + 800      gives the amount raised at the fundraiser.  We add 800

T = 600 + 800           because that was raised before the event.

T = $1400

B) If he split the money equaly between 2 organizations, we divide the total raised, T, by 2.

$1400/2 = $700     Each organization recieved $700

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

Answers

4+c (greater than or equal to sign, > with a line underneath) 30

Jill is baking a pumpkin pie. The recipe calls for 4 ⅓ cups of flour, but Jill has 2 ⅘ cups. How many cups of flour does Jill need?

Answers

Answer:

1 8/15

Step-by-step explanation:

We need to equal the denominators. We have 1/3 and 4/5, and we need to make the bottom numbers equal to each other. The closest common factor is 15 (which we got from 3 x 5). With the denominators solved, we now need to equal out the top numbers, or the numerators. 1 x 5 gives us 5/15, and 4 x 3 gives us 12/15. Then, we need to apply these to each variable. This gives us Jill's 2 12/15th cups of flour, and the recipe's call for 4 5/15 cups. We then subtract these from each other, giving us 1 8/15 cups of flour is needed from Jill.

I WILL GIVE BRAINLY
enter the solution as a completely simplified fraction:
8/22+ 5/22 +(-7/-22)

Answers

Answer:

3/11 or 0.27777777777

Step-by-step explanation:

Find the distance between the two points rounding to the nearest tenth (if necessary (8, 7) and (1, - 2)

Answers

Answer: 11.4

Step-by-step explanation:

You would use the distance formula.

(1−8)^2+(−2−7)^2

=(−7)^2+(−2−7)^2

=49+(−2−7)^2

=49+(−9)^2

=49+81

=130

= 11.4

NEED HELP ASAP!! Solve for m

Answers

Angle B = 56.309932474020215

This is through using a trigonometry calculator I forgot how to set it up tbh.

Hope this helps ;)

For extra info Angle C = 33.690067525979785.

They add up to 90 which added with the right angle of 90 means the interior angles add to 180 meaning it is in fact correct because a triangle is always 180 inside.

Reflections over the x axis change the ____-________

Answers

y coordinates. im not sure but thats what i believe the answer is

Answer:

The y Coordinates

Step-by-step explanation:

HELP!!!
1. Using the geometry tools below, construct a bisection of the line segment EF.

2. Using the geometry tools below, construct a copy of the angle ABC below.​

Answers

Answer:

I need points sry

Step-by-step explanation:

Timothy has three buckets shaped like cylinders. He is filling the buckets with water using a scoop shaped like a cone. If the scoop and the bucket have the same height and radius, how many scoops will it take him to fill the buckets using the scoop? *

Answers

3-5 is ur answer lol

The number of chocolates sold can be determined by the equation: P=$.63c, where P is the price and c is the number of chocolates.

Yall im so confused help mee plz

Answers

Answer:

p = price

0.63 = price of each piece of chocolate

c = number of pieces of chocolate

just multilply the number of pieces of chocolate by 0.63 to get the total price

Step-by-step explanation:

hii im so sorry to answer like this but i desperately needs points im very sorry good luck though:(

solve this please thankyou ​

Answers

Answer:

(2,1)

Step-by-step explanation:

Find the midpoint of the line segment with the given endpoints.
1. (-6,3) and (-6,-1)
2. (-3,-1) and (0,9)

Answers

Answer:

1. (-6,1)

2. (-1.5,4)

Step-by-step explanation:

1. (-6,3) and (-6,-1)

Midpoint = [tex](\frac{-6+ -6}{2} , \frac{3 + -1}{2}) = (-6, 1)[/tex]

2. (-3,-1) and (0,9)

Midpoint = [tex](\frac{-3 + 0}{2} , \frac{-1 + 9}{2} ) = (-1.5,4)[/tex]

PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!

Answers

Answer:

number 1 answer

a saying you have to add all the w's

b saying that you have to add 2w with 2w

c saying it is the simpliyed answer

number 2 answer

a. 2w + 20 + 2w

b. 4w + 20

number 3 we are unable to answer

Step-by-step explanation:

HEY answer this question so you can win. The answer has to be right or no winning 1000 dollors.

Answers

Answer: 21/3-5=2, -11/3+5 2/3=2

Which ordered pair is a solution of the equation? y= 4x+9
A: Only (−3,3)
B: Only (−2,2)
C: Both (-3,3) and (-2,2)
D: Neither

Answers

Answer:

It's D, neither

Step-by-step explanation:

Each big square below represents one whole.
What percent is represented by the shaded area?

Answers

Answer:

59.5%

Step-by-step explanation:

119 squares are shaded out of 200

WHO WANTS BRANLIEST???

Answers

Answer: ME

Step-by-step explanation:

You would use y=mx+b
therefore the answer would be y=5
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