Write a function to describe the following scenario.
The temperature of a hot steak starts at 140° F and decreases at 5° F per minute. What will the temperature be of this steak after a certain number of minutes?
y= ? - ?x
Answers
Answer:
Below.
Step-by-step explanation:
Temperature after 1 minute = 140 - 5(1)
Temperature after 2 minutes = 140 - 5(2)
Temperature after 3 minutes = 140 - 5(3),
- and so on.
So the function is
y = 140 - 5x.
The temperature of the steak after a certain number of minutes can be described as the function
y = 140 - 5x
What is a linear equation?A linear equation with one variable has the standard form Cx + D = 0. In this case, the variable is x and C are coefficient, while D is a constant.
How to solve this problem?Let the certain number of minute is x.
Since the temperature decreases at 5° F per minute, then after x minutes, it will decrease 5x.
Initial temperature = 140° F
Then the present temperature, y = 140 - 5x.
Therefore, the temperature of the steak after a certain number of minutes can be described as the function
y = 140 - 5x
Learn more about temperature here -
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Related Questions
Given the dilation rule DO,1/3 (x, y) → (one-third x, one-third y) and the image S'T'U'V', what are the coordinates of vertex V of the pre-image? (0, 0) (0, One-third) (0, 1) (0, 3)
Answers
Answer:
d
Step-by-step explanation:
on edge
Answer:
D
(0, 3)
Step-by-step explanation:
First, determine if the example is EXLUSIVE (M.E.) or
INCLUSIVE (Inc.) and circle the correct answer.
Then, find the probability of the example.
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
ME. Incl P (5 or >3) =
A die is rolled. What is the probability of rolling a 2 or a 6?
ME. Incl P (2 or 6) =
A card is drawn from a standard deck of cards. What is the probability of drawing a 6 or a king?
M. E. Incl P (6 or K) =
A card is drawn from a standard deck of cards. What is the probability of drawing a queen or a spade?
M. E. Incl P (Q or Spade) =
Answers
Answer:
Sorry I had to go to dinner here you go hope this helps! :D
Step-by-step explanation:
So, before we start, there are two things we have to go over.
First off, we have "or"
When using or between two probabilitess, you are basically adding them together.
For instance, you first question asks what the probability is of rolling a 5 or a number greater than 3(assuming this is a 6 sided dice).
So, rolling a 5 is a change of 1/6. Since 1 of the 6 dice iwll be 5. The other probability is a 1/2, since 3 of the 6 dice are over 3.
Now lets add these two together because of the "or":
1/2+1/6=3/6+1/6=4/6
So the probabily of rolling a 5 OR rolling a number greater than 3 is 4/6.
This is inclusive, since rolling a 5 is possible and greater than 3.
Now "and" is a bit different and more complex than or is.
Here is an example:
What is the change of rolling a even number or rolling a number above 4?
Well, rolling a even number has a probability of 1/2. Rolling a number above 4 is 1/3.
To find the "and", we multiply the two probabilities.
So 1/3*1/2=1/6
So the probability of rolling a even number and a number above 4 is 1/6.
Now, lets get back to the answers.
So what is the probability of rolling a 2 or a 6?
There is a 1/6 probability to get a 2, and a 1/6 probability to get a 6.
Add it together since they use or:
1/6+1/6=2/6
So the probability of rolling a 2 or a 6 is 2/6, or 1/3.
This is exlusive since you cant roll both a 6 and a 2 at the same time.
Next we have what the probability is of drawing a 6 or a king.
There are 13 different cards in a deck.
There is a 4/52 chance of drawing a 6(spade/heart/etc), and a 4/52 chance of drawing a king. This simplyfies to 1/13 for each.
This is:
1/13+1/13=2/13
So the probability of drawing a 6 or a king is 2/13
This is a exclusive event since a king and 6 cant be drawn at the same time.
Finally, we have:
What is the probability of drawing a queen or a spade?
Again, there is a 4/52 chance of drawing a queen. A spade, however, is different.
13 of the 52 cards can be spades, which simplies to 1/4.
So we have 1/13+1/4=4/52+13/52=17/52
So there is a 17/52 probability of drawing a queen or spade.
This is a inclusive event since it is possible to draw both a spade and queen at the same time.
Hope this answers all your questions and helps you understand what "and" "or" are in probability.
Find the axis of symmetry of the graph y=x^2+8x+16
Answers
Answer:
x = -4
Step-by-step explanation:
to find the axis of symmetry use this formula:
x = -b/2a
if this problem, a = 1, b = 8, c = 16
x = -8/2(1)
x = -4
X(x-3)=0 find all solutions what does x=?
Answers
x(x-3)=0
x=0, x-3=0
x=0, x=3
x={0,3}
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn at random, has a multiple of 4 ?
1/2
1/5
1/4
2/5
Answers
Answer:
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
Step-by-step explanation:
Given:
Total number of tickets = 20
Multiple of 4 = 4 , 8 , 12 , 16 , 20
Total number of Multiple of 4 = 5
Find:
Probability [Ticket drawn at random, has a multiple of 4]
Computation:
Probability of en event = Number of favourable outcome / Total number of outcomes
Probability [Ticket drawn at random, has a multiple of 4] = Total number of Multiple of 4 / Total number of tickets
Probability [Ticket drawn at random, has a multiple of 4] = 5 / 20
Probability [Ticket drawn at random, has a multiple of 4] = 1/4
What is the probability that you draw a King in Hearts and then a Queen in Hearts out of a deck of 52 playing cards without replacing?
Answers
Answer:
p = 1/2,652
Step-by-step explanation:
p = 1/52 * 1/51
p = 1/2,652
The population of a U.S. City was at 130,000 in 2014. It grew at a rate of 2.6% per year. What is the population today?
Answers
Answer:
155,588
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value
R = growth rate
N = number of years 2021 - 2014 = 7
130,000(1.026)^7 = 155,587.6
rounding off to the nearest whole number is 155,588
To round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
If we have a picture that is 3 inches wide and 5 inches long. What would the dimensions be if I want the picture to be 10in. Long?
Answers
Answer:
6 inches wide, 10 inches long
Step-by-step explanation:
You have to double 3 since 5 is doubled to 10. 3 doubled is 6.
Answer:
6in wide and 10in long
Step-by-step explanation:
In order to get the picture to be 10in long you need to multiply the 5in by 2, which now means you need to also multiply the 3in by 2.
No files just type it in please I been stuck in this answer
Answers
Answer:
24
Step-by-step explanation:
ate 4 pounds 6 times because monday, tuesday, wednesday, thursday, friday, saturday.
therefore 4x6= 24
investors buy a studio apartment for $240,000 . Of this amount, they have a down payment of 60,000. Their down payment is what percent of the purchase price? What percent of the purchase price would a $108,000 down payment be?
Answers
Answer:
25%
bc its 1/4 = 0.25 of the purchase price.
the other percentage is 45
108/240 = 54/120 = 18/40 = 4.5/10 = 45/100
What is the approximate area is the shaded sector in the circle shown below?
Answers
Answer:
B.
Step-by-step explanation:
1) the area of the given circle is: A=π*r²=256π (in²).
2) the part of the shaded sector is 110/360=11/36, it means that the required area of the shaded sector is: 11/36 * A = 256* π * 11 / 36≈246 (in²).
What is the slope of the line that contains the points (-2, 5)and (3,-5)?
Answers
Answer:
slope = - 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)
m = [tex]\frac{-5-5}{3-(-2)}[/tex] = [tex]\frac{-10}{3+2}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2
What value of c is needed to complete the square?
X2 + 10x + c = -3+ c
Answers
Answer:
Step-by-step explanation:Let's solve for c.
x2+10x+c=−3+c
Step 1: Add -c to both sides.
x2+c+10x+−c=c−3+−c
x2+10x=−3
Step 2: Add -x^2 to both sides.
x2+10x+−x2=−3+−x2
10x=−x2−3
Step 3: Add -10x to both sides.
10x+−10x=−x2−3+−10x
0=−x2−10x−3
Step 4: Divide both sides by 0.
0
0
=
−x2−10x−3
0
c=
−x2−10x−3
0
Answer:
c=
−x2−10x−3/0
hope it helps :D
4. Which list are the numbers in order from least to greatest
Answers
Answer:
a
Step-by-step explanation:
my brother told me....
determine whether the relation represents a function
16.{(-3,2). (-2, 2), (1,2). (-3.1). (0.3}}
Answers
Answer:
No, it's not a function
Step-by-step explanation:
In a function each input has one and only one output
Here an input of -3 has two outputs 2 and 1
The function h (2) = -16x2 + 200 gives the height, in feet, of a ball after 2 seconds since being dropped from a
cliff.
Consider h(3) and its meaning in this situation.
Answers
Answer:The ball dropped 56 feet after 3 seconds
Step-by-step explanation:
HELP
Distinguish the difference between linear relationships, nonlinear relationships, and correlations.
Answers
Answer:
The graph of a linear equation forms a straight line, whereas the graph for a non-linear relationship is curved. ... A non-linear relationship reflects that each unit change in the x variable will not always bring about the same change in the y variable
Determine whether the triangles are congruent. Explain your reasoning .
Answers
Answer:
The triangles are congruent
Step-by-step explanation:
The Triangles are congruent because they have the same side lengths and and angle measures.
please help! 10 points, thank you
Answers
Answer:
B
Step-by-step explanation:
time = 8 years
principle = 6000
Money earned = 3000
Money earned= p * r * t
3000 = 6000 * r/100 * 8
3000 = 48000 * r/100
3000 = 480 * r
3000 / 480 = r
6.25 % = r
Find the indicated area of the sector surrounded in bold . Use 3.14 for pi!
Answers
Answer:
75.4 yd²
Step-by-step explanation:
Formula for Area of a sector when the central angle is given in degrees is given as :
θ/360 × πr²
Where:
Central angle = θ = 135°
Radius = r = 8yd
π = 3.14
Hence,
135/360 × 3.14 ×(8yd)²
= 75.36 yd²
Approximately the Area of the sector = 75.4 yd²
Bonus: double your money! One bank promises they can double your money if you invest
with them. If that were true, and you started with just 1 penny, how many doublings would you
need to reach your pennies to the moon?
Answers
Answer:
Y'all playing with me........right???
Which expression is equivalent to the given expression?
(3y – 4)(2y + 7) + 1ly – 9
Answers
Answer:
16y-6
Step-by-step explanation:
(3y-4)(2y+7)+11y-9
5y+3+11y-9
16y-6
????????????????????????mark me brainliest pls! :}Answer: D. 6y^2 + 24y - 37
Step-by-step explanation:
i would but a homie is running on a flip phone hehe
jus use the distributive thing
A community is building a square park with sides that measure 110 meters. To separate the picnic area from the play area, the park is split by a diagonal line from the opposite corners Determine the approximate length of the diagonal line that splits the square.
Answers
Answer:
155.56 m
Step-by-step explanation:
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
√110² + 110²
write 6.58 centimeters in meters using E-notation.
Answers
Answer:
6.58 x 10 ^ -2
Step-by-step explanation:
that's 10 to the negative 2 power.
it creates a smaller number. moving decimal to left 2 places.
.0658 meters
Please help me will mark the brainliest
Answers
Answer:
The answer is A)9.89cm squared
Step-by-step explanation:
Split the shape into a triangle and a square. The square's area is 2.6 × 2.3 which equals 5.98. The triangle's area is 6-2.6=3.4, 3.4×2.3= 7.82. But since its a triangle, divide it by two. 7.82÷2=3.91. Now add both of the found areas to eachother, 3.91+5.98=9.98 cm squared. Hope that makes sense and helps!
AHHHH HELP PLEASE, IT’S URGENT!!!!! I DON’T HAVE MUCH TIME :((( 7th Grade!!!!
Answers
Answer:
A, P, M, S, W, Q
Step-by-step explanation:
Sorry
3. Ben wants to have his birthday party at the bowling alley with some
of his friends, but he can spend no more than $80. The bowling alley
charges a flat fee of $45 for a private party and $4.50 per person for
shoe rentals and unlimited bowling.
a. Write an inequality that represents the total cost of Ben's birthday
for p people given his budget. (10 pts)
Answers
charges for per person = $4.50
a flat fee of = $45
no.of people = p
So, 4.5p+ 45 ≤ 80I need help ASAP thank uuuu
Answers
Answer:
A. 4.5
Step-by-step explanation:
You can find the center value (median) either by crossing off a box from the lower number end and one off the higher number end until you find the middle value, or by writing them out and doing the same.
2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10
Since there are 20 numbers, there are two center numbers, 4 and 5. So we take the average of them, which is 4.5
can someone help me w this 2 question , i need step by working tysm. i will give brainliest !!
Answers
Hey buddy I am here to help!
5. y = ax + b
-5 = a*4 + b
-5 = 4a + b
If we take a as -2
-5 = 4*-2 + b
-5 = -8 + b
b = -5 - (-8)
b = -5 + 8
b = 3
so... a = -2 and b = 3
6. (i) y = 5x - 2
(1,7)
y = 7 & x = 1
7 = 5*1 -2
7 = 5 - 2
7 = 3
so this point (1,7) is wrong
(ii) y = 5x -2
we can take any value for x...
e.g. x = 2
y = 5*2 - 2
y = 10 -2
y = 8
SO answer in this case would be (2,8)
Plz mark my answer brainliest
Help me please ASAP
Answers
Answer:
y=-2/3x+24
Step-by-step explanation:
Move the 6x to the other side. Then divide both sides by 9.
Answer:
-2/3
Step-by-step explanation:
that is the procedure above
slope me taking the co-effecient of x afternoon making y the subject of the equation
the co-effient of x is -2/3. which is equal to the gradient or slope