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

Store
Think about a cereal box. What
geometric shape is a cereal box?
What geometric shape is each of
the faces of a cereal box?

Answers

Answer:

what type of cereal

Step-by-step explanation:

Answer:

The geometric shape in a cereal box is a rectangular prism, with rectangles for each side of the cereal box.

Step-by-step explanation:

That's just how cereal boxes are.

What is the approximate value of x in the diagram below?(Hint: You will need to use one of the trigonometric ratios given in the table.)

Answers

Answer:

39.59

Step-by-step explanation:

Just took the quiz

The value of x in the given diagram is 39.59 units.

Correct option is (E).

What is Trigonometry?

The trigonometric function, which comprises the sine, cosine, tangent, cotangent, secant, and cosecant, is one of the six mathematical operations used to describe the side ratios of right triangles (csc). Trigonometry can be used to solve problems in surveying, engineering, and navigation where one of a right triangle's acute angles and one side's length are known but the lengths of the other sides need to be computed.

As per the given diagram:

The length of the perpendicular (P) = 27 units

Base angle = 43°

x is the hypotenuse.

To find the value of x we can use the trigonometric ratios given in the question.

sinθ = P/H

Where H is the hypotenuse, P the perpendicular and θ the base angle.

sin(43°) = 27/x

0.682 = 27/x

x = 27/0.682

x = 39.59 units

Hence, the value of x in the given diagram is 39.59 units.

To learn more about Trigonometry, click:

brainly.com/question/29002217

#SPJ7

The entry price for an adult is $10 and the ratio between the prices for adults and children is 5:4. How much is the cost for a child?
A) $10 B) $4 C) $8

Answers

Answer:

$8

Step-by-step explanation:

[tex]5:4\\10:?\\5*2=10\\4*2=8\\10:8[/tex]

Have an amazing day!! <3

Answer:

C - 8

Step-by-step explanation:

An architect designed an apartment building that was to be 196 ft. High. He made a model of the building using a scale of ½ inch = 1 foot. How high was the model?

Answers

Answer:

25feet

Step-by-step explanation:

[tex]\sqrt{200\\[/tex]

Answers

Do sqrt(100) * sqrt(2)
Which will be 10 * sqrt(2)

Answer: 14.1421356237

Step-by-step explanation: We should know that 200 can be written in radical form (√200 = q × q = q2).  To find the square root of 200, first you can ask yourself whether √200 is a perfect square, in which it isn’t because it doesn’t equal a whole number. Next, ask yourself if √200 is a rational or irrational number, in which it is an irrational number. After, determine whether √200 can be simplified, which in this case can be simplified to 200 = 10√2 which makes it easier to calculate the square root of 200. Lastly, the easiest and most boring way to calculate the square root of 200 is to use your calculator! Simply type in 200 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√200 ≈ 14.142135624

Please helpppp algebra

Answers

Answer: (-6,-9)

Step-by-step explanation: you probably don't wanna read this but in case someone asks you about it- first start by putting the first equation into graphing form, turning it into 2y=-3x+12.

then you can go ahead and multiply the second equation by two to get 2(y=1/2x-6), which is 2y=x-12.

next, just subtraction! 2y=-3x+12 minus 2y=x-12!

You get -4x=24, which leaves you to divide both sides by -4 to get x=-6!

now to put in x for the solution, you take a equation(either one) and put in x

[y=1/2(-6)-6]

[y=-3-6]

[y=-9]

so your points are (-6,-9)

Identify the range of the function.

Answers

Answer: count the units

Step-by-step explanation:

- 3x + 10 < -2 and -17 < - 3x + 10

Answers

Answer:

7 is more than-2

Step-by-step explanation:

this is because when u add -3+10 u will get 7

and 7 is larger than -2

Answer:

x > 4 and x < 9

Step-by-step explanation:

1.) -3x + 10 < -2

-3x < -2-10

-3x < -12

x > 4

2.) -17 < -3x + 10

-17 - 10 < -3x

-27 < -3x

x < 9

Please help me out??

Answers

Answer:

Step-by-step explanation:

y < 3
y > and equal to -1
hope this helps :))

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

isosceles

Step-by-step explanation:

the two bottom angles are equivalent

the top angle is different

two sides are also of equal length

Isosceles is the Awnser hope this helps

How do you write the algebraic expression: x=-2.5 like i mean the answer

Answers

Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

Alex rolls a fair dice 150 times.
How many times would Alex expect to roll a three?

Answers

Answer:

50

Step-by-step explanation:

150 / 3 = 50

Simple math friendo :)

I need help with my math homework

ASP

Answers

Answer:

yes

Step-by-step explanation:

yes

Answer:

No, for multiple reasons

Step-by-step explanation:

1) There is no square box to indicate it is 90 degrees

2) a + b is supposed to equal c. And (with 6 = a, 8 = b, and 12 = c) this is not true

-2x^2+5x-4=0 , find the discriminant

Answers

Answer:

The discriminant is -7

Step-by-step explanation:

The discriminant of a quadratic function/equation(ax^2+bx+c = 0) is calculated as:

[tex]b^2 -4ac[/tex]

Here

b is the co-efficient of x

a is the co-efficient of x^2

and c is the constant

Given equation is:

[tex]-2x^2+5x-4=0[/tex]

Here

a = -2

b = 5

c = -4

Putting the values in the formula for discriminant

[tex]= b^2 - 4ac\\= (5)^2 - 4(-2)(-4)\\= 25 - 32\\=-7[/tex]

As the discriminant is negative, the equation has no real solution.

Hence,

The discriminant is -7

The difference between each pair of consecutive terms in this arithmetic sequence is 1 1/4 . Find the next term in the sequence. 2 3/4, 4, 5 1/4, 6 1/2 , ...

Answers

Answer:

7 3/4

Step-by-step explanation:

6 1/2 +1 1/4=7 3/4

To find any number in a sequence given the distance between each number, just add the distance to the last number in the sequence

3⁄2 c + 23 = 38
solve to-step equations

Answers

Answer:

Step-by-step explanation:

c=10

The sunshine ski shop makes a profit of $40 on each pair of skis sold. Shop expenses for one week are 2,480. What is the minimum number of pairs of skis that must be sold in one week to make profit of at least $2,000

Answers

Answer:

Number of units to sell= 112 units

Step-by-step explanation:

Giving the following information:

Unitary contribution margin= $40

Fixed costs= $2,480

Desired profit= $2,000

To calculate the number of units to be sold, we need to use the following formula:

Break-even point in units= (fixed costs + desired profit) / contribution margin per unit

Break-even point in units= (2,480 + 2,000) / 40

Break-even point in units= 112 units

Answer:

32000

Step-by-step explanation:

The price of a DVD is $24.00 plus 8% sales tax.What is the sales tax on this DVD in dollars and cents?
A) 25
B) 0.8
C) 1.92
D) 30

Answers

Answer:

Your answer is C) 1.92

Hope this helps ^_^

Answer:

Sales tax is $1.92 or 192 cents.

Step-by-step explanation:

Given the price of a DVD is $24.00 plus 8% sales tax.

we have to find the sales tax on this DVD in dollars and cents.

The sales tax is 8% can be calculated as

8/100 X $24

1.92

In cents

as one dollar equals 100 cents

∴ 1.92 dollar = $1.92 = 192 cents

Hence, sales tax is $1.92 or 192 cents.

So your answer is C!!

Can I try answering questions that are on your profiles
Please I need to earn points and brainliest

Answers

YES PLS HELP WITH MY MOST RECENT

Answer:

Ok

Step-by-step explanation:

Go for it

Part A; what is an equation that can be used to solve X?
Part B; what is the value of X? THANK YOU GUYS!!

Answers

Answer:

x = 80° im pretty sure

Step-by-step explanation:

Nots sure about the equation but you could do 52° + x° + 48°= 180

Then x = 80°

Which pair of angles are alternate exterior angles?

A) 1 and 8
B) 1 and 7
C) 2 and 7
D) 2 and 9

Answers

Answer:

Option (C)

Step-by-step explanation:

From the picture attached,

Two lines are the parallel lines and one line is intersecting these lines at two distinct points.

m∠3 = ∠6 [Alternate interior angles]

Since, angles 2 and 7 are the vertically opposite angles,

m∠2 = m∠7 [Alternate exterior angles]

Therefore, angles ∠2 and ∠7 are the pair of alternate exterior angles.

Option (C) is the answer.

Need the answer, please help me

Answers

Answer:

3/5×

Step-by-step explanation:

y2-y1/x2-x1

0-(-6)/ 14-4

6/10x 3/5x

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:

Jason is selling sets of knives and makes 10% commission on all sales. What would his commission be on the sale of a #3250 set of knives?

Answers

Answer:

$325

Step-by-step explanation:

Take 10 percent of $3250 dollars or 3250×.1

Answer:

Cross multiply to get $325

One sanctuary had 180 green sea turtles come ashore to lay eggs last year. This year, the number
of turtles increased by 20%. How many turtles came ashore to lay eggs in the sanctuary this
year?

Answers

Answer:

216

Step-by-step explanation:

180 times .2 (20 percent in decimal form) = 36

36+180=216

8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes
putting everything away. Solve 3x +10 = 85 to find out how long it took to wash each car.
a. 5.5 minutes
b. 28.3 minutes
c. 25 minutes
d. 31.65 minutes

Answers

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

ANOTHER EASY ONE!!!!Example 4:

If air lets out of a balloon quickly, it pushes down and the balloon moves up.

Group of answer choices

Newton's 1st Law

Newton's 2nd Law

Newton's 3rd Law

Give evidence or explain your reasoning for your answer to example #4:

Answers

Answer:

I think it displays Newton's 3rd law.

Step-by-step explanation:

Newton's third law says: Every action has a reaction that is equal in force and opposite in direction.

the air from balloon exerts force opposite to the air's direction in the balloon, and the fore is equal, that's why the balloon moves upwards.

I am not sure but this is my answer!

Distribute the expression. 2(8^2−5+11)

Answers

Answer:140

Step-by-step explanation:

Answer:multiply the 2 to the # in the () then boom done

Step-by-step explanation:

(-4 2/3) (1 1/2) as a mixed number in simplest form

Answers

Answer:

-7

Step-by-step explanation:

PLEASE HELP !!!!!! I need help with geometry thank you !!

Answers

Answer:

Step-by-step explanationo

k:

Answer:

22

Step-by-step explanation:

4x - 1 = 2x + 5 [a bisector splits a segment into two congruent parts]2x - 1 = 5 [subtract 2x from both sides]2x = 6 [add 1 to both sides]x = 3 [divide both sides by 2]

So, CD = DE = 4(3)-1 = 11, meaning CE = 22.

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