In order to keep a specific bacteria alive, the tempature in a science lab, cannot exceed -20F. The electricity went out, when the tempature was -72F, but is increasing at a rate of 6.5 per hour. How many hours do the scientist have until the bacteria is not safe?

Answers

Answer 1

Answer:

At most 8 hours

Step-by-step explanation:

Given

[tex]Maximum = -20F[/tex]

[tex]Rate = 6.5/hour[/tex]

[tex]Base\ Temperature =-72F[/tex]

Required

Determine the time taken

Represent time by t.

The relationship between all parameters is:

[tex]Maximum = Base\ Temperature + Rate * t[/tex]

[tex]Base\ Temperature + Rate * t \leq Maximum[/tex]

This is so (≤) because, according to the question, the temperature can not exceed the maximum.

So, we have:

[tex]-72 + 6.5*t \leq -20[/tex]

[tex]-72 + 6.5t \leq -20[/tex]

Collect Like Terms

[tex]6.5t \leq -20 + 72[/tex]

[tex]6.5t \leq 52[/tex]

Solve for t

[tex]t \leq 52/6.5[/tex]

[tex]t \leq 8[/tex]

Hence, they have at most 8 hours


Related Questions

1.
Convert pounds to ounces.
(1 pound = 16 ounces)
14 pounds =
Х
(1 pound)
=
*(
ounces)
Il
ounces

Answers

Answer:

224 ounces

Step-by-step explanation:

List the parts that are congruent based on the markings. Be sure to label properly!

Please helppp. I’ll give brainliest!

Answers

Answer:

Angles T and W are congruent to each other. Angles U and X are congruent to each other.

Step-by-step explanation:

Could someone explain how to solve this for me?

Answers

The answer it's 95o UwU

3. x + y = 15
X - y = 3
solving systems of equations

Answers

Answer: x=10 y=5 = 15xy

Step-by-step explanation:

solve the equation 4x²+4x+1=0​

Answers

Answer: x = -1/2

4x² + 4x + 1 = 0

⇔ (2x + 1)² = 0

⇒ 2x + 1 = 0

⇔ x = -1/2

Step-by-step explanation:

.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?

Answers

18 girls and 12 boys 18+12= 30
Brake it up into 15

what's (+6) + (+48) ?​

Answers

Answer:

54

Step-by-step explanation:

The answer is 54.
..
.

find angle sum therom ​

Answers

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Sum of the interior angles of any triangle is 180° .

Thus ;

[tex]y + 48° + 90° = 180°[/tex]

[tex]y + 138° = 180°[/tex]

Subtract sides 138°

[tex]y + 138° - 138° = 180° - 138° \\ [/tex]

[tex]y = 42°[/tex]

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Who here is amazing at math and is willing to help me every time I need help with math?!

Answers

Answer:

Me

Step-by-step explanation:

Because I am really good at math

If the point (-1/2, y ) lies on the line whose equation is 2x - 3y = 6, what is the value of y ?

Answers

-7/3

Step-by-step explanation: is the answer for odyssey ware

A water tank is in the shape of a right circular cone as shown above. The diameter of the cone is 10 feet, and the height is 15 feet. The shape of the water in the tank is conical with radius r feet and height h feet. At noon, water is leaking from the bottom of the tank at a rate of 12 cubic feet per hour, and the volume of water in the tank is 27π cubic feet. At noon, what is the rate at which the height of the water in the tank is changing? (The volume V of a right circular cone with radius r and height h is V=13πr2h.)

Answers

The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

Step-by-step explanation:

Given information:

[tex]\text{\bold{The diameter of cone}}=10\;\rm{ ft.}[/tex]

[tex]\rm{The\; height\; of\; the\; cone}= 15\;\rm{ ft.}[/tex]

[tex]\text{The rate at which the water is leaking }= 12 \; \rm ft^3/hr.[/tex]

[tex]\text{Volume of water tank}=27 . \pi \; \rm ft^3[/tex]

Now,

If ,we take a right circular cone with radius r and height h , its volume

[tex]\text{volume (V)} = (1/3) \times \pi \times \rm{r^3 \times h[/tex]

Now, the radius of cone when the volume of water tank is given

[tex]\frac{1}{3}\times \pi \rm\times{r^2 \times h = 27 \times \pi[/tex]

The ratio of height to radius of the cone :

[tex]\text {h/r} =3[/tex]

[tex]\text r = \text h/3[/tex]

Now calculate :

[tex]dV/dt= dV/dh \times dh/dt[/tex]

Which gives:

[tex]12 = \frac{d(\text h^3/27 \pi)}{dh} \times \frac{d\text h}{dt} \\\\\frac{d\text h}{dt} = \frac{12}{\pi \text h^2/9}[/tex]

As ,

[tex]27=\frac{1}{27 \times h}[/tex]

[tex]\text h^3=27^2\\\text h= 9\\[/tex]

Now,

[tex]dh/dt=12/(\pi.\text h^2/9)\\dh/dt=4/3\pi\\dh/dt=0.4244\\[/tex]

Hence, The rate at which the height of water tank changing is [tex]0.4244 \; \text {ft./hr}[/tex]

For more information visit:

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HELP ASAP PLEASE THANKS! :))

Answers

Answer:

I believe the answer is p = -7/5

Step-by-step explanation:

Here's the equation and the workthru of my logic:

-5 (p + 3/5) = -4

Divide both sides by -5 to remove the -5 from the left side of the equation,

p + 3/5 = -4/5,

Subtract 3/5 from both sides to solve for p,

p = -4/5-3/5

p = -7/5

Solution is -7/5

Hope this helps.

Good luck!

One month Tom rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24 . Find the rental cost for each movie and each video game.

Answers

Answer:rental cost for each movie =$3.75 and for video games = $5.5

Step-by-step explanation:

Step 1 Let the cost of movie = x

and cost of video game = y

Cost at  Ist Month for 6 movies and 5 video games for a total of $50 will  be

6x+ 5y= $50------- Equation 1

Cost at  2nd Month for 2 movies and 3 video games for a total of $24 will  be

2x+ 3y= $24--------  Equation 2

Step 2--- Solving

6x+ 5y= $50------- Equation 1

2x+ 3y= $24--------  Equation 2

Multiplying equation 2 by (3)

6x+ 5y= $50------- Equation 1

6x+ 9y= $72--------Equaton 3

subtracting  equation 1 from equation 3

9y-5y=22

4y= 22

y=22/4= 5.5

Putting the value of y = 5.5 in equation 1

6x+ 5y= $50

6x + 5(5.5)= $50

6x =50-27.5

6x=22.5

x=22.5/6

x =3.75

Therefore rental cost for each movie =$3.75 and for video games = $5.5

Taryn is shopping for a Christmas tree. At Home Depot the one she likes is $149.00 and she has a 15% off coupon. At Lowe's the one she likes is $175.00 and she has a 20% off coupon. Which store has the better deal with their coupons? How much will she save if she gets the better deal?

Answers

Answer:

Step-by-step explanation:

At home depot

Price of Christmas tree = $149.00

Discount = 15%

Amount discounted = 15% of $149

Amount discounted = 15/100 * $149

Amount discounted = 15 * 1.49

Amount discounted = $22.35

Amount she paid = $149-$22.35

Amount she paid = $126.65

At Lowe's:

Price of Christmas tree = $175.00

Discount = 260%

Amount discounted = 20% of $175

Amount discounted = 20/100 * $175

Amount discounted = 0.2 * 175

Amount discounted = $35

Amount she paid = $175-$35

Amount she paid at Lowe's = $140

From the prices above, it can be seen that Home Depot has a better deal since the price after removing discount is lower than that of Lowe's.

Amount she will save will be $140 - $126.65 = $13.35

80÷1.94≈
Please help me

Answers

Answer:

[tex]\frac{80}{1.94}[/tex]

Step-by-step explanation:

80 ÷ 1.94 = [tex]\frac{80}{1.94}[/tex]  

I hope this helps!

What are the domain and range of x= -2?

Answers

Answer:

The range is all real numbers, because it's a vertical line, and the domain is -2 because it's a vertical line with -2 as it's only x.

Step-by-step explanation:

Find the ratio between 450 ml and 1l.​

Answers

1 Liter = 1,000 mL

The ratio of mL to Liter is 450:1,000

Answer:

450mL : 1L   =    9 : 20

Step-by-step explanation:

recall that 1L = 1000 mL,

450 mL : 1L  can be expressed as

450mL : 1000 mL   (we can simplify this with the following steps)

450 : 1000     (divide both sides by 10)

45 : 100  (divide both sides by 5)

9 : 20  (answer)

Luis rides his bicycle 34 mile in 15 minutes, or 14 hour, along the bike trail.
Assuming he rides at a constant rate, what is his speed, in miles per hour? Use the table to help find the answer.
Enter your answer in the box.

Miles 34 ?
Hours 14 ?
miles per hour

Answers

2.615 miles per hour I think

Luis' speed in miles per hour is 136.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

By dividing the miles he cycled by the hours he traveled, one may calculate Luis' speed in miles per hour.

Because the measurement must be in miles per hour,

the time would be expressed in hours rather than minutes.

Speed = distance / time

Distance = 34 miles

Time = 15 minutes.

Speed =  34 ÷ 15 miles per minute.

Speed =  34 ÷ 1/4 miles per hour.

Now, speed =  34 x 4 miles per hour.

Therefore, Luis' speed is 136 miles per hour.

To learn more about the speed;

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0.0000000043 estimated to the power of ten

Answers

Answer:

4.3 x 10^-9

Step-by-step explanation:

Convert to base 10 and move decimal 9 to right

12x+y when x=3 and y=52

Answers

Substitute

12(3) + (52)

12(3) = 36

36 + 52 = 88

The altitude of an isosceles triangle bisects the base and measures 10ft. If the base of the triangle measures 16ft, calculate: a) the area of the triangle b) and one side of the triangle.

Answers

Answer:

Step-by-step explanation:

the formula for calxulating the area if the isosceles triangle is expressed as;

[tex]A = \frac{1}{2}bh[/tex]

b is the base of the triangle

h is the altitude

Given

b = 16ft

h = 10ft

Substitute

A = 1/2 * 16 * 10

A = 8*10

A = 80ft²

Hence the area of the triangle is 80ft²

b) To get the measure of one side of the triangle, we will use the pythagoras theorem. Let s be the slant side

s² = h²+(b/2)²

s² = 10²+(16/2)²

s² = 10²+(8)²

s² =100+64

s² =164

s = √164

s = 12.8ft

Hence one side of the triangle is 12.8ft

4/4-x = 5/4+x what is x

Answers

Answer:

-1/8

Step-by-step explanation:

MATH

Kyra walks 2 miles in 30 minutes, how long will it take her to walk 120 minutes.

Answers

Answer:

if she walks 2 miles in 30 minutes, she will walk 8 miles in 120 minutes.

Step-by-step explanation:

Can i get brainliest plzzz?

Answer:

8

Step-by-step explanation:

They can walk 8 miles in 120 minutes she can walk 1 mile in 15 minutes and 120/15 is 8.

help will give brainly and pts.

Answers

the first option is the correct option.

Which of the following BEST describes the domain of the relation graphed below.​

Answers

Answer:

The answer is D.

Step-by-step explanation:

Domain describes the range of the x values that is true for a function. By looking at the graph, the possible values of x are between -8 and 3. Therefore the answer is: x such that [-8≤x≤3]

Kiran says that -2 < -5 . Do you agree with Kiran

Answers

Answer:

No

Step-by-step explanation:

-2 is a larger number than -5, if you were to plot these two numbers on a number line, -5 would be further to the left of 0 than -2, which makes it a smaller number. The sign < means less than. The statement being made is that -2 is less than -5, which is false.

Answer:

no

Step-by-step explanation:

I took a test and this question was on it and the answer was no.

Which question can be answered using the expression 1/3÷ 3/4 ​

Answers

Answer:

Jillian had a cake and Ruby ate 2/3 of it. Jillian's friends then came over and consumed 3/4 of the kuchen, which Ruby already ate out of. How much of the cake is left?

Step-by-step explanation:

Just think about it with simpler numbers. What if the expression was (4 ÷ 2)? Then the word problem could be made quite easily. Following the previous example, simply replace the numbers (4 and 2) with the fractions given (1/3 and 3/4) and make a few tweaks for it to make more sense.

Good luck!

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

Word problems involving equations

Algebraic equations are ways we can solve real life apllications.

Given the division problem

1/3÷ 3/4 ​

This can be written usng this statement:

The total pizza left is 1/3 of the whole pizza. If the remainig student are to take 3/4 of the remaining, how much will each student take

Learn more on word problem here: https://brainly.com/question/21405634

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11 What is most likely the equation of the graph below?

Answers

Answer:

f(x) = |x + 2|

General Formulas and Concepts:

Transformations Graph: f(x) = a|bx - c|+ d

a = vertical shrink/stretchb = horizontal shrink/stretchc = horizontal movement left/rightd = vertical movement up/down

Step-by-step explanation:

Step 1: Define

We see a transformation from a parent function of the absolute value.

Parent Graph: f(x) = |x|

Step 2: Find equation of graph

We see the transformation moving horizontally 2 units to the left.

c = -2

f(x) = |x + 2|

Can someone plz help
One question only
I WILL CROWN BRAINLIEST

Answers

i) Draw a point at the bottom corner. From here count 7 right and 3 up. Mark this point aswell. Join these 2 point together to create a line and put an arrow head half way through to show direction.

ii) 2+5 = 7
4-1 = 3
So the column vector would be 7 over 3 in brackets

Hope this helps

Factor 28xy + 25 + 35x + 20y

Answers

HOPE THIS HELPS YOU...

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