The person's body temperature will approach 98.6ºF as time lapses, The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses.
What is horizontal asymptote?A horizontal asymptote is known to be that line that is horizontal in nature and it is one that is not an aspect of a graph that has a function but t act as a guides for its x-values.
Note that Horizontal asymptote occurs to T(f) only when t is said to be very large (as it approaches infinity) and thus, it connote that the person's body temperature will be going towards 0ºF above 98.6ºF as t moves to infinity.
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The increase in a person’s body temperature T(t), above 98.6ºF, can be modeled by the function T(t)=(4t)/(t^2 +1), where t represents time elapsed. What is the meaning of the horizontal asymptote for this function?
The horizontal asymptote of y = 0 means that the person’s temperature will approach 98.6ºF as time elapses. The horizontal asymptote of y = 0 means that the person’s temperature will approach 0ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 102.6ºF as time elapses. The horizontal asymptote of y = 4 means that the person’s temperature will approach 4ºF as time elapses.
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Which tables could be used to verify that the functions they represent are inverses of each other? select two options.
The tables that can be used to show that the functions that made them are inverses of each other are the tables attached.
Which tables have functions that are the inverse of each other?When functions are inverses of each other, they will give inverted x and y values.
This means that the value of x for one function, will be the value of y for the other function.
The tables that have inverse functions will therefore have a table where x values of:
627, 227, 27, 2, and 27 which will be y values in the other table.
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Between which two consecutive whole numbers does \sqrt{37}
37
lie? Fill out the sentence below to justify your answer and use your mouse to drag \sqrt{37}
37
to an approximately correct location on the number line.
Natural numbers are those that can be counted and ordered. The two consecutive whole numbers between which √37 lies are 6 and 7.
What are natural numbers?Natural numbers are those that can be counted and ordered. Cardinal numbers are those used for counting, while ordinal numbers are those used for ranking.
The value of √37 is equal to 6.0827 units. Therefore, the two consecutive whole numbers between which √37 lies are 6 and 7.
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Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.
If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?
84
504
3,024
60,480
Answer:
504 combos
Step-by-step explanation:
Cannot use digits twice and last is '7'
9 digits for first place choice
8 digits for second place
7 digits for third place
only '7' for fourth place 9 x 8 x7 = 504 combos
You can use the rule of product from combinatorics to find out how many ways can the remaining digits be chosen.
The remaining digits for the given condition can be chosen in 504.
Option B: 504
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
Since 7 is already fixed and there is constraint that no two digits can be used, thus, we initially have only 10-1 = 9 digits.
For first place, we can chose 1 digit out of 9 digits in ways,
⁹C₁ = 9 ways
For second place, as one of the digit is used, thus, 1 digit out of 8 digits can be chosen in ways,
⁸C₁ = 8 ways
For third place, as two of the digits is used, only 7 digits are remaining to chose from. Thus, 1 digit out of 7 remaining digits can be chosen in ways.
⁷C₁ = 7 ways
Using product rule, we get:
Total possible number of choices for choosing digits for first, second and third position of lock with given constraints is given as
= 9 x 8 x 7
= 504 ways
Thus, The remaining digits for the given condition can be chosen in,
Option B: 504
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The quotient of (x4 – 3x2 4x – 3) and (x2 x – 3) is a polynomial. what is the quotient?
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
How to determine the quotient?The quotient expression is given as:
(x⁴ - 3x² + 4x - 3) ÷ (x² + x - 3)
Factor the dividend of the quotient expression
(x² + x - 3)(x² - x + 1) ÷ (x² + x - 3)
Cancel out the common factors
x² - x + 1
The above means that:
The quotient of (x⁴ - 3x² + 4x - 3) and (x² + x - 3) is x² - x + 1
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A student claims that the equation y = 7 is not a linear equation because it does not have the form y = mx + b. Do you agree or disagree? Why?
Answer:
This is correct because linear equations have to be in slope-int form
Step-by-step explanation:
In Debi's Girl Scout troop, of the girls have brown eyes, of the girls have blue eyes, and of the girls have hazel eyes. What fraction of the
either brown eyes or hazel eyes? [Note: Write your answer in simplest form.]
Save and Exit
Next
Subm
O
-IN
5/6 girls have either blue or brown eyes. Since 2/9=4/18
And 11/18 + 4/18 = 15/18
You can simplify 15/18 to 5/6
Joe bought 3 tacos and 1 asada fry for $12.50.
Sam bought 1 taco and 2 asada fries for $13.75.
Write a system of equations that could help you
find the cost of each item.
Answer:
I am not too sure so I deeply apologize for any wrongs, but this is my thinking.
Joe bought each taco for 4 dollars, and bought an asada fry for 50 cents.
On the other hand-
Sam also bought 1 taco for 12 dollars, and bought 2 asada fries, one of them was 1 dollar, and one of them was 75 cents.
math question need helpp
Answer:
(5^6)/(5^3) = 5^3 or 125
Step-by-step explanation:
^ = raised power
(5^6)/(5^3)
because base (5) is same:
law of indices: n^a ÷ n^d = n^(a-d)
therefore
5^6 ÷ 5^3 = 5^(6-3)
= 5^3 which is 125
Divide.
3.9 ÷ 100,000
Enter your answer as a decimal in the box.
i dont know what to do here
Answer: 0.000039
Step-by-step explanation: i us calculator
Answer:
0.000039.
Step-by-step explanation:
3.9 / 100,000
Move the decimal point 5 places to the left ( as there are 5 0's in 100,000)
filling in the zeroes as you move alomg.
So its 0.000039
What is the missing number in the table?
x
1
2
3
4
5
y
6
36
216
???
7,776
252
396
864
1,296
In circle J with the measure of minor arc \stackrel{\Large \frown}{HK}=58^{\circ}, HK ⌢ =58 ∘ , find \text{m} \angle HLK.m∠HLK
By applying the central angle property, the measure of angle HLK is equal to 29°.
What is the central angle property?The central angle property states that an inscribed angle is equal to half the measure of a central angle that is subtended by the same arc.
This ultimately implies that, a central angle is double (twice) the measure of an inscribed angle that is subtended by the same arc.
By applying the central angle property, we have:
HK = 2m∠HLK
58 = 2m∠HLK
m∠HLK = 58/2
m∠HLK = 29°.
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Triangle ABC is a right triangle find x
Answer:
25Step-by-step explanation:
from the figure and the values we understand that it is an isosceles right triangle, therefore with the two sides and the 2 angles are congruent,
so x = 25
if there was 9/15 of leftover pizza, and jimmy ate 5/15 of the leftover pizza, how much of the original pizza did he eat
Answer:
— Work in pizza slices, assuming a dozen per pizza. If I buy 36 slices, and eat 5 slices, and Joe eats 15 slices, there should be 36 - 5 - 15 = 16 slices left.
Step-by-step explanation:
Hi Guys. My name is ❀ ❀.
What is 3x+6 if x=5?
A. 21
B. 54
C. 1002
D. 30
Answer:
A is the answer
Step-by-step explanation:
3×5+6=15+6=21
the average price of a movie ticket was $4.35 in 1996. the average price of a movie ticket was $9.16 in 2020. what was the average rate of change? if this rate continues, predict the cost of a movie ticket in 2025.
Answer:
10.16
Step-by-step explanation:
average change = 9.16 - 4.35 / 2020 - 1996 = 0.2
Cost = 9.16 + (2025 -2020) x 0.2 = 10.16
So the answer is $10.16
Triplets Peter, Reeta and Nikita have two ways for getting home from school each day: cycle on a tandem bike or walk. The bike can carry either one or two riders at a time. Regardless of the number of people pedalling, cycling speed is 5 times walking speed. The triplets always leave school at the same time and always use the same path between school and home, whether walking or cycling. The school is 5km from home and their walking speed is 4 kilometres per hour.
d) On Thursday, it is Reeta's turn to walk. Peter drops Nikita off at a certain point leaving her to walk home, Meanwhile he returns to pick up Reeta and they cycle home together. If all three arrive home at the same time, how far from school are the drop-off ad pick up points.
Answer:
Pick up point is 1.43 km from the school and drop point is 3.57 km from the school ( to the nearest hundredth).
Step-by-step explanation:
School <----------- 5 km ---------------> Home
_______ P _______ D _______
x km y km 5-x-y km
_______
y
_________________
5-x km
D is the point where Peter drops off N and P is the pick point x km from the school where Peter picks up R. He travels back y km to pick up R.
We work in times:
Time = distance / speed
The time that R walks from the school to point P is the same as Peter travels the distance (x + 2y) km, so we have
x/5 = (x + 2y)/20
20x = 5x + 10y
15x - 10y = 0 A
The time that N walks home equals the time that Peter travels y + 5 - x km.
So (y + 5 - x)/20 = (5 - x - y)/5
5y + 25 - 5x = 100 - 20x - 20y
15x + 25y = 75
3x + 5y = 15 B
Solving equation A and B
15x - 10y = 0
3x + 5y = 15
Multiply the second equation by 2:
6x + 10y = 30
Adding this to the first equation
21x = 30
x = 30/21 = 1.4285
So 3(1.4285) + 5y = 15
y = 2.1428
Pick up x = 1.43 km
and the drop is 1.43 + 2.14 = 3,57 km from the school
help me please I need it
Answer:
A
Step-by-step explanation:
The formula for a rectangular prism is length*width*height. Thus, the equation would be 6*4*16, which equals 384 cm^3.
how to make a decimal into a fraction
Answer:
you have to make a fraction into a whole number.
Step-by-step explanation:
A fair spinner has 12 equal sections: 4 red, 3 blue and 5 green. It is spun twice. What is the probability of getting the same colour twice?
Answer:
25/72
Step-by-step explanation:
Total outcomes :
(5 + 4 + 3)²(12)²144 outcomesP (red twice) :
16/1441/9P (blue twice) :
9/1441/16P (green twice) :
25/1445/12Adding :
1/9 + 1/16 + 5/1216/144 + 9/144 + 25/14450/14425/72(√3+√7) (√3-√7) pl and me
[tex]\left( \sqrt 3 + \sqrt 7\right) \left( \sqrt 3 - \sqrt 7\right)\\\\=\left(\sqrt 3 \right)^2 - \left(\sqrt 7 \right)^2\\ \\=3-7\\\\=-4[/tex]
Answer:
- 4
Step-by-step explanation:
([tex]\sqrt{3}[/tex] + [tex]\sqrt{7}[/tex] )([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] )
each term in the second factor is multiplied by each term in the first factor.
[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) + [tex]\sqrt{7}[/tex] ([tex]\sqrt{3}[/tex] - [tex]\sqrt{7}[/tex] ) ← distribute parenthesis
= 3 - [tex]\sqrt{21}[/tex] + [tex]\sqrt{21}[/tex] - 7 ← collect like terms
= - 4
What is the length of the diagonal from B to D of this rectangle? Round your answer to the nearest tenth of a metre.
Answer:
2√97
Step-by-step explanation:
BD² = BC² + DC²
⇒ BD = √BC² + DC²
= √(18)² + (8)²
= √324 + 64
= √388
Rewrite 388 as 2² · 97.
Factor 4 out of 388.
√4(97)
Rewrite 4 as 2².
√2² · 97
Pull terms out from under the radical.
2√97
The result can be shown in multiple forms.
Exact Form:
2√97
Decimal Form:
19.69771560...
Help please
y + 4- 6(x +7)
Answer: y - 6x +46
Step-by-step explanation:
y + 4- 6(x +7)
y + 4 - 6x +42
y - 6x +46
if g(x) = 3x+1 what is g(2)?
Answer:
7
Step-by-step explanation:
Substitute 2 into x
g(2)= 3(2)+1
= (3x2)+1
= 6+1
= 7
Identify the situation below as having a positive correlation, negative correlation, or no correlation.
Explain your answer.
The temperature outside and the amount of ice cream sales at an ice cream shop.
Answer:
positive correlation
Step-by-step explanation:
As the temperature increases, the ice cream sales will increase.
Since both x and y are increasing, this is a positive correlation.
The mean length of 7 childrens' index finger is 9.4cm. The mean length of 5 adults' index finger is 10.2cm. What is the mean length (rounded to 2 DP) of these 12 people's index finger?
Answer:
9.73 cm to 2 DP
Step-by-step explanation:
Total of the lengths involved = 7*9.4 + 5*10.2
= 116.8 cm
So the mean of the 12 fingers
= 116.8/12
= 9.73 cm to 2 DP.
If f(x) = 16x^2 – 20x, what is the value of f(3)?
(Pls show work)
Answer:
f(3) = 84
Step-by-step explanation:
To evaluate a function for a specific value of the variable, put the value in the function's expression where the variable is, and do the arithmetic.
__
Sometimes it works well to simplify the expression a bit.
f(x) = 16x^2 -20x = 4x(4x -5)
f(3) = 4(3)(4(3) -5)) = (12)(7)
f(3) = 84
Parents plan to ship some items to their child who is attending college out of town. The
student definitely needs towels, which weigh 9 pounds. The cost is $45 to ship up to 15
pounds.
a. Write and solve an inequality that represents how many pounds the parents can add
to the shipment without having to pay additional shipping costs.
b. The parents want to ship another item in addition to the towels. Which of the
following items can they send without paying extra shipping?
Item
Weight (pounds)
boots
9
tennis rackets
5
dishes
18
soccer equipment
14
1
The student decides that the tennis rackets and the towels are needed. How does
this affect the inequality in part (a)?
The inequality that represents this situation is x ≤ 6. On the other hand, the parents can ship only the tennis rackets.
What equality represents this situation?The equality that represents this situation is x ≤ 6 because the number of pounds that can be added (x) has to be 6 or less than 6.
What other item can they ship?The parents can only ship the tennis rackets because these are 5 pounds which meets the criteria of the inequality.
What happens if the student needs the towels and the tennis racket?The inequality would change to x ≤ 1 because the weight that could be added if he needs these producs changes to only 1 pound.
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Lorenzo increases all the prices on his restaurant menu by 8%
After the increase, the price of lasagne is £9.45
Work out the price of lasagne before the increase.
Step-by-step explanation:
to add 8% the simplest operation is to multiply the basic amount by 1.08.
so,
£9.45 = original price × 1.08
original price = £9.45/1.08 = £8.75
the price before the increase was £8.75.
The side of a square is a x-3 , Find the area of the square.
Answer:
x^2 -6x + 9
Step-by-step explanation:
(x-3) (x-3) = x^2 - 6x + 9
Ali bought 212 pounds of ground turkey at $2.50 per pound and 314 pounds of ground beef at $3.20 per pound.
What was her total cost?
Enter your answer in the box.
Answer:
Step-by-step explanation:
the total cost for this question is $12.10.
let me know if this helped.