The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.

Answers

Answer 1

Answer:

Inequality: 30 - 3d ≤ 20

Rate of decrease from Monday to Thursday: greater than or equal to 10/3 degrees Celsius per day

Step-by-step explanation:

Translate theconditions into mathematical terms:

HIgh temperature on Monday = T₀ = 30°C.

The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d

That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:

30 - 3d ≤ 20

And that is the requested inequality.

From that, you can solve for the rate of temperature decrease, d:

Add 3d to both sides: 30 ≤ 20 + 3d

Subtract 20 from both sides: 10 ≤ 3d

Divide both sides by 3: 10/3 ≤ d

Apply symmetry property: d ≥ 10/3

Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.

Answer 2

Answer:

30 - 3d ≤ 20

d≥10/3

Step-by-step explanation:


Related Questions

y + 4= -6
Find the slope and the Y-intercept of the graph of this equation

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Slope: 0
Y-intercept (0,-8)

Can someone help me solve this question

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Answer:

Step-by-step explanation:

Choosing a white pen from box a

Pls solve this with solution​

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Okay so for these problems it’s best to break up the problem and solve it step by step. First, 10 to the 5th power(the little 5) is the same as 10x10x10x10x10=100,000. So, 10 to the second power(little 2 on top) is equal to 10x10=100. Then after you find your answer there the problem becomes easier and all that’s left is to multiply and add. Next multiply 6x100,000=600,000 and 6x100=600. Finally we add them, 600,000 + 600= 600,600. 600,060 does not equal 600,600 so the equation is false.

The function f is defined below.
f(x)=−2x−3
Find f(1).

Answers

Answer:

[tex]f(1)=-5[/tex]

Step-by-step explanation:

[tex]f(1)=-2(1)-3\\\\f(1)=-2-3\\\\f(1)=-5[/tex]

f(1) means to substitute x with 1 or that x=1. So since x=1  you will substitute it in where x is and then solve like a regular equation which will give you -5.

Can someone pls help like plss

Answers

Answer:

-32r+3

Step-by-step explanation:

You have to combine -9r+2r-5r-20r, orrrr…

you can remove the variables and solve:

[tex]-9+2-5-20=\\ -32[/tex]

then add the variable back,

[tex]-32r[/tex]

since the +3 has no variable, you can’t add it to -32r

so…

you have to add it to the equation as a separate term:

[tex]-32r+3[/tex]

hope this helps!

the two triangles below are similar.

Answers

Answer:

Step-by-step explanation:

yes they are just a rotated triangle

The area of a triangle is 40 square inches.
The base of the triangle is x + 1,
and the height is x - 1.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

Answers

Answer:

+9 and -9

Step-by-step explanation:


A 20-foot piece of metal is cut INTO pieces that each measure 1 1/4 feet. How many pieces are there after the cut?

A. 16
B. 25
C. 18.75
D. 5

Answers

Answer:

I believe the answer is 16    Don't get mad if incorrect just trying my best

Answer:

A. 16

Step-by-step explanation:

If a 20 ft piece of metal is cut in 1 1/4 feet pieces you would divide the total length (20) by each of the pieces length (1 1/4) to find the answer. 20 ÷ 1 1/4 = 16.

Write an equation that reflects this relationship using x to represent the amount of fish in grams and y to represent the number of calories.

Answers

Answer:

send the graph and ill solve it

Step-by-step explanation:

  I need help on 7 and 8 plssssss

Answers

I think the domain and range are infinite
[tex]\huge \cal༆ Answer ༄[/tex]

7. Find domain ~

[tex] \sf - 6 \leqslant x < 5[/tex]

or

[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~

[tex] \sf - 2 <y \leqslant 7[/tex]

or

[tex] \sf x ∈ (-2 , 7][/tex]

Where r is the radius of the cone's base and h is the height of the cone. Find the approximate volume of a cone when r is 8 cm and h is 8 cm.
Volume of a Cone = pir2h/3

Answers

Step-by-step explanation:

Given,

the radius(r)of the cone's base = 8 cm

the height(h)of the cone = 8 cm

then the volume of cone

= 1/3 πr²h

= (1/3×22/7×8²×8 (substituting the value of r and h )

=(1/3×22/7×64×8)cm³

=(12544/21)cm³

=597.333cm³(ans)

If you face any doubt related to the solution please ask me

The volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.

What is the volume of a cone?

The volume of a cone is the amount of space possessed by a cone in a three-dimensional plane. A cone contains a circular base, which suggests the base is made of a radius and diameter.

The volume can be defined as a three-dimensional space enclosed by an object or thing.

The formula for the volume of the cone,

[tex]\rm V=\dfrac{1}{3} \pi r^2h[/tex]

r = radius of the circular base

h= perpendicular height of the cone

Here, r = 8 cm

h = 8 cm

So the volume of the given cone will be,

[tex]\rm V=\dfrac{1}{3} \pi r^2h\\\\\\=\dfrac{1}{3}\times\dfrac{22}{7}\times8^2\times8\\\\\\[/tex]

V  = 536.38 cubic m

Volume =536.38 cubic cm

Thus, the volume of the cone is 536.38 cubic cm if the radius of the cone is 8 cm and the height of the cone is 8 cm.

To know more about the cone please follow:

brainly.com/question/16394302

#SPJ2

Help me plz I would really appreciate it!

Answers

Given,[tex]x = \frac{7}{9} \: \: \: y = \frac{5}{6} \\ \\ - 2y + x \\ = - 2( \frac{5}{6} ) + \frac{7}{9} \\ = - \frac{5}{3} + \frac{7}{9} \\ = \frac{ - 15 + 7}{9} \\ = \frac{ - 8}{9} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Help me plsss pls psl​

Answers

It’s b
it’s not A because it’s not percentages it’s decimals using boxes as an example

Answer: A, B, D

it can’t be “C” because that would be equal to 40%

Find the slope-intercept form of the line that satisfies the given conditions.
Through A(−7, 5) and B(6, 11)

Answers

Answer:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

Step-by-step explanation:

(x1, y1) = (-7, 5)

(x2, y2) = (6, 11)

The firs thing to do is fine the slope. That is the distance between the y-coordinates divided by the distance between the x-coordinates:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the points above as points 1 and 2, so you can plug those numbers into the formula:

[tex]m=\frac{11-5}{6--7}\\\\m=\frac{6}{13}[/tex]

That fraction can't be simplified any further, so the slope of this line is 6/13. The next thing to do is to find the y-intercept.

[tex]y=mx+b[/tex]

Plug the slope and any point of your choice into the equation. I'll use point b:

[tex]11=(\frac{6}{13})6+b[/tex]

Now, solve for b:

[tex]11=\frac{36}{13}+b\\\\11-\frac{36}{13}=b\\\\\frac{143}{13}-\frac{36}{13}=b\\\\\frac{107}{13}=b\\\\b=\frac{107}{13}[/tex]

They're far from clean, but those are the correct slope and y-intercept. Using those, the equation for this line is:

[tex]y=\frac{6}{13}x+\frac{107}{13}[/tex]

You can confirm that this is the correct equation by checking it with one of the points. Plug in one of the known values of x and make sure it gives the correct value of y:

[tex]y=\frac{6}{13}(-7)+\frac{107}{13}\\\\y=\frac{-42}{13}+\frac{107}{13}\\\\y=\frac{65}{13}\\\\y=5[/tex]

That works out.

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

x= -3

y= 1

Step-by-step explanation:

You can graph this on Desmos Graphing Calculator and look at the vertex on the graph.

PLEASE HELP SOMEBODY!!!!!!!!!! I uploaded a picture below.

Answers

Yes the answer above is correct 16!

WILL REWARD BRAINLIEST!!! plz :,) this is my last question:(( 50 POINTS!!!! Hellppp me with this!!!! Click to view whole pics!!! If you can view it it basically says : You are making several purchases from the B-Better Electronics store. You can buy from this store online or in a physical store. You have a coupon for 20% off that can only be used in the physical store and a $20.00 off coupon that can only be used online. The sales tax of 7.5% only applies to the physical store.
Shipping for the online store is a flat rate of $8.99 or free for purchases over $75.00. Using the information below, which way of purchasing would save you the most money?

B-better electrics store:
Headphones. 1 pair. 14.99/e
DVDs 4dvds 13.95/e
CDs. 2cds. 9.85/e
————————————————-

Online store:
Headphones 1 pair. 13.50/e
DVDs. 4dvds 14.99/e
CDs. 2cds. 10.99/e
————————————————-

Answers

Answer:

77.82 $ will be paid at physical Store

Step-by-step explanation:

Item                 Quantity          Physical Store Online Store

Headphones 1 pair                 $14.99/ea             $13.50/ea

DVDs             4 DVDs             $13.95/ea             $14.99/ea

CDs               2 CDs                $9.85/ea              $10.99/ea

Cost Price = 14.99 + 4 * 13.95  + 2 * 9.85

= 90.49 $

20% off Coupon = (20/100)90.49  = 18.1 $

Amount after Coupon = 72.39 $

7.5% sales Tax = (7.5/100)72.39 =  5.43$

Amount with Tax = 72.39 + 5.43  = 77.82 $

77.82 $ will be paid at physical Store

Answer:

Step-by-step explanation:

i want points thanks

Kay's mother taught her how to make handmade ornaments to sell at a craft fair. Kay rented a table at
the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50
for materials. She sells each ornament for $6.00.

If x represents the number of ornaments sold at the craft fair, which of the following expressions
would represent Kay's profit? (Circle all choices that apply.)
A. -30 + 6x - 2.50x
B. 6x - 30 -2.50x
C. 6x - 30
D. 4.50x - 30
E. 3.50x - 30

Answer without link please

Answers

Answer: B

Step-by-step explanation: 6x represents the positive because it represents the amount being made from each ornament. The -30 represents the one-time cost of the table. And the -2.50x represents the cost of each ornament.

45/100 in its simplest form

Answers

Answer:

9/20

Step-by-step explanation:

5×9=45

5×20=100

we need to convert it in lowest term by dividing it..

Solve the equation below and explain how you solved it

x- 5 (x-1) = x- (2x-3)

(No bots or u will be reported)

Answers

Answer:

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

Step-by-step explanation:

x - 5(x - 1) = x - (2x - 3) ← distribute parenthesis and simplify both sides

x - 5x + 5 = x - 2x + 3

- 4x + 5 = - x + 3 ( add x to both sides )

- 3x + 5 = 3 ( subtract 5 from both sides )

- 3x = - 2 ( divide both sides by - 3 )

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

If I have a discriminate value of -3, how many solutions and what type will I have?

Answers

Answer:

0

Step-by-step explanation:

If b^2 - 4ac is less than 0, it will not have any real roots/solutions so you would not get any solutions in this case.

How do I find the percentage of two column data table?

Answers

A) 47.70%
B) 52.30%
hope this is helpful!

A sector with a radius of 6cm has a central angle measure 4pie/9 (in radius)

What is the area of the sector ?


Answers

Answer:

8πcm² = 8pi cm²

Step-by-step explanation

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

geometry PLEASE HELP and explain how???

Answers

Answer:

x means times

Step-by-step explanation:

I need help please it’s for school

Answers

From Sweatcoin, London to the residence of Santa Claus is about 4,280 km away.

Where is the Santa Clause's residence?

The residence of Santa Clause is popularly known as the North Pole.

According to the above, we have to roughly calculate the distance from Sweatcoin in London to the North Pole. This distance is equivalent to about 4,280 km

Learn more about London in: https://brainly.com/question/7416097

What is the most simplified expression that is equivalent to (5y)^2. (16y^4)^1/2

Answers

The most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

The given expression is:

[tex](5y)^2(16y^4)^{\frac{1}{2}[/tex]

Expand the expression using the laws of indices

[tex]5^2y^2 \times 16^{\frac{1}{2}}y^{\frac{4}{2}\\\\[/tex]

[tex]25y^2 \times 4y^2[/tex]

Multiply like terms

[tex](25 \times 4)y^{2+2}[/tex]

The resulting expression is:

[tex]100y^4[/tex]

Therefore, the most simplified expression for [tex](5y)^2(16y^4)^{\frac{1}{2}[/tex] is [tex]100y^4[/tex]

Learn more on indices here: https://brainly.com/question/10339517

The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches.

Which equation could represent the width of the rectangle, w?

Answers

Answer:

That will be 7

Step-by-step explanation:

The equation that represents the width of the rectangle will be 2(L + W) = 80. And its width is 28 inches.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The perimeter of a rectangle is 80 inches. The length of the rectangle is 12 inches. Then the equation is given as,

2(L + W) = 80

2(12 + W) = 80

12 + W = 40

W = 40 - 12

W = 28 inches

The equation that represents the width of the rectangle will be 2(L + W) = 80.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

#SPJ2

Please help with this math problem!! IT'S DUE TONIGHT AT 11:59PM!! NO LINKS PLEASE!! :)

Answers

Answer:

[tex]c = \: \: 0 \: \: \: 1 \: \: 2 \: \: 3 \: \: 5 \: \: 7[/tex]

Step-by-step explanation:

check this pls

but im not sure;-)

pa heart and 5 star

if check po

Answer:

[tex]C= -2p+5, \text{where slope is} ~-2.[/tex]

Step by step explanation:

Help plsss I REALLY need help!

Answers

Answer:

6x^2√x

Step-by-step explanation:

6 times 6 is 36

So you can take 6 out and leave x^5

However x^5 also have a power to square by:

x^4 which can turn into x^2

So we can take x^2 out

So the answer is 6x^2√x

Hope this helps!

I think its

the bottom left i might be wrong

Mrs. Jenson's science quiz has 4 questions. Each question has answer choices "A," "B," "C," and "D." How many combinations of 4 answers are possible for the 4-question science quiz? Possible answers 16 , 24, 64, and 256.​

Answers

Answer:

14

Step-by-step explanation:

For every question, there should be 1 answer.

There are 4 answers for the 4 questions

4 times 4 = 16

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